diff --git a/CMakeLists.txt b/CMakeLists.txt
index 782aecd67d..da1bf352e4 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -1192,26 +1192,29 @@ if(APHRODITE_GPU_LANG STREQUAL "CUDA" OR APHRODITE_GPU_LANG STREQUAL "HIP")
   endif()
 
   if(APHRODITE_GPU_LANG STREQUAL "CUDA")
+    file(GLOB APHRODITE_EXL3_GEMM_UNITS CONFIGURE_DEPENDS
+      "csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_*_cb*.cu")
+    file(GLOB APHRODITE_EXL3_GEMV_INT8_UNITS CONFIGURE_DEPENDS
+      "csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_*.cu")
+    file(GLOB APHRODITE_EXL3_MOE_UNITS CONFIGURE_DEPENDS
+      "csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_*.cu")
     set(APHRODITE_EXL3_SRC
       "csrc/libtorch_stable/exl3_torch_bindings.cpp"
       "csrc/quantization/exl3/exllamav3_ext/graph.cu"
       "csrc/quantization/exl3/exllamav3_ext/hgemm.cu"
+      "csrc/quantization/exl3/exllamav3_ext/quant/coop_autotune.cu"
       "csrc/quantization/exl3/exllamav3_ext/quant/exl3_devctx.cu"
       "csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemm.cu"
       "csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv.cu"
+      "csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv_int8.cu"
       "csrc/quantization/exl3/exllamav3_ext/quant/exl3_kernel_map.cu"
       "csrc/quantization/exl3/exllamav3_ext/quant/exl3_moe.cu"
       "csrc/quantization/exl3/exllamav3_ext/quant/hadamard.cu"
       "csrc/quantization/exl3/exllamav3_ext/quant/reconstruct.cu"
       "csrc/quantization/exl3/exllamav3_ext/quant/util.cu"
-      "csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_1.cu"
-      "csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_2.cu"
-      "csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_3.cu"
-      "csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_4.cu"
-      "csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_5.cu"
-      "csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_6.cu"
-      "csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_7.cu"
-      "csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_8.cu")
+      ${APHRODITE_EXL3_GEMM_UNITS}
+      ${APHRODITE_EXL3_GEMV_INT8_UNITS}
+      ${APHRODITE_EXL3_MOE_UNITS})
 
     # EXL3 requires Ampere+ instructions. Preserve all configured SM80+
     # architectures, including native Thor SM110 cubins.
diff --git a/aphrodite/_custom_ops.py b/aphrodite/_custom_ops.py
index d59355ff7e..5527c2908b 100644
--- a/aphrodite/_custom_ops.py
+++ b/aphrodite/_custom_ops.py
@@ -187,6 +187,17 @@ def exl3_reconstruct(
     torch.ops._C.exl3_reconstruct(unpacked, packed, k, mcg, mul1)
 
 
+def exl3_reconstruct_slice(
+    unpacked: torch.Tensor,
+    packed: torch.Tensor,
+    k: int,
+    mcg: bool,
+    mul1: bool,
+    n_offset: int,
+) -> None:
+    torch.ops._C.exl3_reconstruct_slice(unpacked, packed, k, mcg, mul1, n_offset)
+
+
 def exl3_had_r_128(
     input: torch.Tensor,
     output: torch.Tensor,
@@ -197,6 +208,30 @@ def exl3_had_r_128(
     torch.ops._C.exl3_had_r_128(input, output, pre_scale, post_scale, scale)
 
 
+def exl3_had_r_128_dual(
+    input1: torch.Tensor,
+    output1: torch.Tensor,
+    pre_scale1: torch.Tensor | None,
+    post_scale1: torch.Tensor | None,
+    input2: torch.Tensor,
+    output2: torch.Tensor,
+    pre_scale2: torch.Tensor | None,
+    post_scale2: torch.Tensor | None,
+    scale: float = 1.0,
+) -> None:
+    torch.ops._C.exl3_had_r_128_dual(
+        input1,
+        output1,
+        pre_scale1,
+        post_scale1,
+        input2,
+        output2,
+        pre_scale2,
+        post_scale2,
+        scale,
+    )
+
+
 def exl3_hgemm(a: torch.Tensor, b: torch.Tensor, c: torch.Tensor) -> None:
     torch.ops._C.exl3_hgemm(a, b, c)
 
@@ -231,8 +266,10 @@ def exl3_moe(
     down_mcg: bool,
     down_mul1: bool,
     act_limit: float = 0.0,
+    num_active: int = -1,
 ) -> None:
-    torch.ops._C.exl3_moe(
+    op = torch.ops._C.exl3_moe if num_active < 0 else torch.ops._C.exl3_moe_active
+    args = (
         hidden_state,
         output_state,
         expert_count,
@@ -263,6 +300,10 @@ def exl3_moe(
         down_mul1,
         act_limit,
     )
+    if num_active < 0:
+        op(*args)
+    else:
+        op(*args, num_active)
 
 
 if hasattr(torch.ops, "_C") and hasattr(torch.ops._C, "exl3_gemm"):
@@ -312,6 +353,17 @@ def _exl3_reconstruct_fake(
     ) -> None:
         return None
 
+    @register_fake("_C::exl3_reconstruct_slice")
+    def _exl3_reconstruct_slice_fake(
+        unpacked: torch.Tensor,
+        packed: torch.Tensor,
+        k: int,
+        mcg: bool,
+        mul1: bool,
+        n_offset: int,
+    ) -> None:
+        return None
+
     @register_fake("_C::exl3_had_r_128")
     def _exl3_had_r_128_fake(
         input: torch.Tensor,
diff --git a/aphrodite/model_executor/layers/fused_moe/routed_experts.py b/aphrodite/model_executor/layers/fused_moe/routed_experts.py
index c0966929d1..10444196f5 100644
--- a/aphrodite/model_executor/layers/fused_moe/routed_experts.py
+++ b/aphrodite/model_executor/layers/fused_moe/routed_experts.py
@@ -5,6 +5,7 @@
 from enum import Enum
 from typing import TYPE_CHECKING, Any, Literal, cast, overload
 
+import regex as re
 import torch
 
 from aphrodite.distributed.eplb.eplb_state import EplbState
@@ -853,8 +854,12 @@ def load_weights(self, weights: Iterable[tuple[str, torch.Tensor]]) -> Iterable[
         unpadded_hidden = self.moe_config.hidden_dim_unpadded
         for expert_name, loaded_weight in weights:
             qual_name = f"{self.layer_name}.{expert_name}"
-            # Fused expert weights can be identified by their 3D tensors
-            is_fused = loaded_weight.dim() == 3
+            # Most fused expert weights are 3D, but some quantization formats
+            # use 3D tensors for a single expert (for example EXL3 trellises).
+            # An explicit expert index in the checkpoint name takes priority
+            # over the tensor rank.
+            is_per_expert = re.search(r"(?:^|\.)experts\.\d+\.", qual_name) is not None
+            is_fused = loaded_weight.dim() == 3 and not is_per_expert
             matched = False
             for param_name, weight_name, expert_id, shard_id in expert_mapping:
                 if weight_name not in qual_name:
diff --git a/aphrodite/model_executor/layers/quantization/exl3.py b/aphrodite/model_executor/layers/quantization/exl3.py
index 6971559ee1..3de3034c56 100644
--- a/aphrodite/model_executor/layers/quantization/exl3.py
+++ b/aphrodite/model_executor/layers/quantization/exl3.py
@@ -39,9 +39,14 @@
 from aphrodite.platforms import current_platform
 
 logger = init_logger(__name__)
-_EXL3_MOE_MAX_TOKENS_PER_EXPERT = 128
+_EXL3_MOE_DEFAULT_MAX_TOKENS_PER_EXPERT = 128
+_EXL3_MOE_SM110_MAX_TOKENS_PER_EXPERT = 32
+_EXL3_MOE_SM110_SHORT_MAX_TOKENS_PER_EXPERT = 1
+_EXL3_MOE_SM110_SHORT_TOKEN_THRESHOLD = 512
 _EXL3_MOE_MAX_EXPERTS_PER_TOKEN = 32
 _EXL3_MOE_ACT_SILU = 0
+_EXL3_AUTO_RECONSTRUCT_THRESHOLD = 144
+_EXL3_MAX_RECONSTRUCT_SLICE_N = 32768
 
 
 def _get_exl3_moe_down_tuning(
@@ -86,7 +91,7 @@ def _exl3_linear_one(
     )
     x_had = torch.empty_like(x)
 
-    if x.shape[0] <= 32:
+    if x.shape[0] <= _EXL3_AUTO_RECONSTRUCT_THRESHOLD:
         ops.exl3_gemm(
             x,
             trellis,
@@ -101,19 +106,6 @@ def _exl3_linear_one(
         )
         return output
 
-    weight = torch.empty(
-        (trellis.shape[0] * 16, out_features),
-        device=trellis.device,
-        dtype=torch.float16,
-    )
-    ops.exl3_reconstruct(
-        weight,
-        trellis,
-        # EXL3 reconstruct expects K where packed.shape[2] == 16 * K.
-        trellis.shape[2] // 16,
-        mcg,
-        mul1,
-    )
     ops.exl3_had_r_128(
         x,
         x_had,
@@ -121,11 +113,27 @@ def _exl3_linear_one(
         None,
         1.0,
     )
-    ops.exl3_hgemm(
-        x_had,
-        weight,
-        output,
-    )
+    in_features = trellis.shape[0] * 16
+    k = trellis.shape[2] // 16
+    if out_features <= _EXL3_MAX_RECONSTRUCT_SLICE_N:
+        weight = torch.empty(
+            (in_features, out_features),
+            device=trellis.device,
+            dtype=torch.float16,
+        )
+        ops.exl3_reconstruct(weight, trellis, k, mcg, mul1)
+        ops.exl3_hgemm(x_had, weight, output)
+    else:
+        weight_buffer = torch.empty(
+            (in_features * _EXL3_MAX_RECONSTRUCT_SLICE_N,),
+            device=trellis.device,
+            dtype=torch.float16,
+        )
+        for n_start in range(0, out_features, _EXL3_MAX_RECONSTRUCT_SLICE_N):
+            n_end = min(n_start + _EXL3_MAX_RECONSTRUCT_SLICE_N, out_features)
+            weight = weight_buffer[: in_features * (n_end - n_start)].view(in_features, n_end - n_start)
+            ops.exl3_reconstruct_slice(weight, trellis, k, mcg, mul1, n_start)
+            ops.exl3_hgemm(x_had, weight, output[:, n_start:n_end])
     ops.exl3_had_r_128(
         output,
         output,
@@ -173,7 +181,7 @@ def _exl3_gate_up(
     mcg: bool,
     mul1: bool,
 ) -> torch.Tensor:
-    if x.shape[0] > 32:
+    if x.shape[0] > _EXL3_AUTO_RECONSTRUCT_THRESHOLD:
         return torch.cat(
             [
                 _exl3_linear_one(x, gate_trellis, gate_suh, gate_svh, mcg, mul1),
@@ -267,7 +275,7 @@ def _exl3_qkv(
     kv_mul1: bool,
 ) -> torch.Tensor:
     q = _exl3_linear_one(x, q_trellis, q_suh, q_svh, q_mcg, q_mul1)
-    if x.shape[0] > 32:
+    if x.shape[0] > _EXL3_AUTO_RECONSTRUCT_THRESHOLD:
         return torch.cat(
             [
                 q,
@@ -479,6 +487,10 @@ def _linear_prefix_is_exl3(self, prefix: str) -> bool:
             base = prefix.removesuffix(".gate_up_proj")
             return all(self._is_exl3_prefix(f"{base}.{proj}") for proj in ("gate_proj", "up_proj"))
 
+        if prefix.endswith(".w13"):
+            base = prefix.removesuffix(".w13")
+            return all(self._is_exl3_prefix(f"{base}.{proj}") for proj in ("w1", "w3"))
+
         if prefix.endswith(".in_proj_qkvz"):
             base = prefix.removesuffix(".in_proj_qkvz")
             return all(self._is_exl3_prefix(f"{base}.{proj}") for proj in ("in_proj_qkv", "in_proj_z"))
@@ -488,8 +500,9 @@ def _linear_prefix_is_exl3(self, prefix: str) -> bool:
     def _moe_prefix_is_exl3(self, prefix: str) -> bool:
         expert_prefixes = (f"{prefix}.0", f"{prefix}.experts.0")
         return any(
-            all(self._is_exl3_prefix(f"{expert_prefix}.{proj}") for proj in ("gate_proj", "up_proj", "down_proj"))
+            all(self._is_exl3_prefix(f"{expert_prefix}.{proj}") for proj in projections)
             for expert_prefix in expert_prefixes
+            for projections in (("gate_proj", "up_proj", "down_proj"), ("w1", "w3", "w2"))
         )
 
     def has_moe_tensors(self) -> bool:
@@ -888,7 +901,7 @@ def _setup_mgemm_if_supported(layer: torch.nn.Module) -> None:
         layer.exl3_can_mgemm = False
 
         prefix = getattr(layer, "prefix", "")
-        if prefix.endswith("gate_up_proj") and len(layer.exl3_shard_ids) == 2:
+        if prefix.endswith(("gate_up_proj", "w13")) and len(layer.exl3_shard_ids) == 2:
             mgemm_shard_ids = layer.exl3_shard_ids
             layer.exl3_mgemm_mode = "gate_up"
         elif prefix.endswith("qkv_proj") and layer.exl3_shard_ids == ["q", "k", "v"]:
@@ -940,8 +953,8 @@ def _setup_mgemm_if_supported(layer: torch.nn.Module) -> None:
         layer.exl3_mgemm_mul1 = mul1
         layer.exl3_can_mgemm = True
 
-    @staticmethod
     def _shard_ids_for_layer(
+        self,
         layer: torch.nn.Module,
         output_partition_sizes: list[int],
     ) -> list[str | int | tuple[int, ...] | None]:
@@ -949,6 +962,10 @@ def _shard_ids_for_layer(
             return [None]
 
         prefix = getattr(layer, "prefix", "")
+        # Some checkpoints store a merged projection as one EXL3 tensor even
+        # when the runtime layer exposes several logical output partitions.
+        if self.quant_config._is_exl3_prefix(prefix):
+            return [None]
         if prefix.endswith("qkv_proj"):
             return ["q", "k", "v"]
         if prefix.endswith("gate_up_proj"):
@@ -1142,6 +1159,16 @@ def apply(
             expert_sorted,
             torch.ones_like(expert_sorted, dtype=torch.long),
         )
+        capturing = torch.cuda.is_current_stream_capturing()
+        fused_max_tokens = layer.exl3_moe_max_tokens_per_expert
+        if x_2d.shape[0] <= layer.exl3_moe_short_token_threshold:
+            fused_max_tokens = layer.exl3_moe_short_max_tokens_per_expert
+        if capturing:
+            expert_count_list = None
+            num_active = -1
+        else:
+            expert_count_list = expert_count.tolist()
+            num_active = sum(0 < count <= fused_max_tokens for count in expert_count_list[: layer.local_num_experts])
 
         if not hasattr(torch.ops._C, "exl3_moe"):
             raise RuntimeError("EXL3 MoE kernel is not available. Rebuild Aphrodite.")
@@ -1152,10 +1179,10 @@ def apply(
             expert_count,
             token_sorted,
             weight_sorted,
-            layer.exl3_temp_state_g,
-            layer.exl3_temp_state_u,
-            layer.exl3_temp_intermediate_g,
-            layer.exl3_temp_intermediate_u,
+            layer.exl3_temp_state_g[:, :fused_max_tokens],
+            layer.exl3_temp_state_u[:, :fused_max_tokens],
+            layer.exl3_temp_intermediate_g[:, :fused_max_tokens],
+            layer.exl3_temp_intermediate_u[:, :fused_max_tokens],
             _EXL3_MOE_ACT_SILU,
             layer.exl3_moe_k_gate,
             layer.exl3_moe_k_up,
@@ -1176,50 +1203,144 @@ def apply(
             layer.exl3_down_mcg,
             layer.exl3_down_mul1,
             0.0,
+            num_active,
         )
 
-        if torch.cuda.is_current_stream_capturing():
+        if capturing:
             if output.dtype != original_dtype:
                 output = output.to(original_dtype)
             return output.reshape(*x.shape[:-1], output.shape[-1])
 
-        if total_assignments <= _EXL3_MOE_MAX_TOKENS_PER_EXPERT:
+        if total_assignments <= fused_max_tokens:
             if output.dtype != original_dtype:
                 output = output.to(original_dtype)
             return output.reshape(*x.shape[:-1], output.shape[-1])
 
-        needs_fallback = bool((expert_count[:-1] > _EXL3_MOE_MAX_TOKENS_PER_EXPERT).any().item())
-        if not needs_fallback:
+        assert expert_count_list is not None
+        max_fallback_count = max(expert_count_list[: layer.local_num_experts])
+        if max_fallback_count <= fused_max_tokens:
             if output.dtype != original_dtype:
                 output = output.to(original_dtype)
             return output.reshape(*x.shape[:-1], output.shape[-1])
 
-        expert_offsets = torch.empty(
-            layer.local_num_experts + 2,
+        expert_offsets_list = [0]
+        for count in expert_count_list:
+            expert_offsets_list.append(expert_offsets_list[-1] + count)
+
+        hidden_size = layer.hidden_size
+        intermediate_size = layer.exl3_intermediate_size_per_partition
+        input_had = torch.empty(
+            (2, max_fallback_count, hidden_size),
+            dtype=torch.float16,
+            device=x_2d.device,
+        )
+        gate_up = torch.empty(
+            (2, max_fallback_count, intermediate_size),
+            dtype=torch.float16,
+            device=x_2d.device,
+        )
+        intermediate = torch.empty(
+            (max_fallback_count, intermediate_size),
+            dtype=torch.float16,
+            device=x_2d.device,
+        )
+        expert_output = torch.empty(
+            (max_fallback_count, hidden_size),
+            dtype=torch.float32,
+            device=x_2d.device,
+        )
+        weight = torch.empty(
+            (hidden_size, intermediate_size),
+            dtype=torch.float16,
             device=x_2d.device,
-            dtype=torch.long,
         )
-        expert_offsets[0] = 0
-        expert_offsets[1:] = expert_count.cumsum(0)
-        expert_offsets_list = expert_offsets.cpu().tolist()
 
         for expert_id in range(layer.local_num_experts):
             start = expert_offsets_list[expert_id]
             end = expert_offsets_list[expert_id + 1]
             count = end - start
-            if count <= _EXL3_MOE_MAX_TOKENS_PER_EXPERT:
+            if count <= fused_max_tokens:
                 continue
 
             token_pos = token_sorted[start:end]
             route_weight = weight_sorted[start:end].unsqueeze(-1)
             expert_input = x_2d.index_select(0, token_pos)
 
-            gate = self._apply_exl3(layer, "w13", expert_input, expert_id, "w1")
-            up = self._apply_exl3(layer, "w13", expert_input, expert_id, "w3")
-            intermediate = torch.nn.functional.silu(gate) * up
-            expert_output = self._apply_exl3(layer, "w2", intermediate, expert_id, "w2")
-            expert_output = expert_output * route_weight
-            output.index_add_(0, token_pos, expert_output.to(torch.float32))
+            gate_key = (expert_id, "w1")
+            up_key = (expert_id, "w3")
+            down_key = (expert_id, "w2")
+            gate = gate_up[0, :count]
+            up = gate_up[1, :count]
+            gate_had = input_had[0, :count]
+            up_had = input_had[1, :count]
+            ops.exl3_had_r_128_dual(
+                expert_input,
+                gate_had,
+                layer.w13_suh.exl3_tensors[gate_key],
+                None,
+                expert_input,
+                up_had,
+                layer.w13_suh.exl3_tensors[up_key],
+                None,
+                1.0,
+            )
+            ops.exl3_reconstruct(
+                weight,
+                layer.w13_trellis.exl3_tensors[gate_key],
+                layer.exl3_moe_k_gate,
+                layer.exl3_gate_mcg,
+                layer.exl3_gate_mul1,
+            )
+            ops.exl3_hgemm(gate_had, weight, gate)
+            ops.exl3_reconstruct(
+                weight,
+                layer.w13_trellis.exl3_tensors[up_key],
+                layer.exl3_moe_k_up,
+                layer.exl3_up_mcg,
+                layer.exl3_up_mul1,
+            )
+            ops.exl3_hgemm(up_had, weight, up)
+            ops.exl3_had_r_128_dual(
+                gate,
+                gate,
+                None,
+                layer.w13_svh.exl3_tensors[gate_key],
+                up,
+                up,
+                None,
+                layer.w13_svh.exl3_tensors[up_key],
+                1.0,
+            )
+            activated = intermediate[:count]
+            ops.silu_mul(activated, gate, up)
+
+            down_had = gate_up[0, :count]
+            ops.exl3_had_r_128(
+                activated,
+                down_had,
+                layer.w2_suh.exl3_tensors[down_key],
+                None,
+                1.0,
+            )
+            down_weight = weight.view(intermediate_size, hidden_size)
+            ops.exl3_reconstruct(
+                down_weight,
+                layer.w2_trellis.exl3_tensors[down_key],
+                layer.exl3_moe_k_down,
+                layer.exl3_down_mcg,
+                layer.exl3_down_mul1,
+            )
+            current_output = expert_output[:count]
+            ops.exl3_hgemm(down_had, down_weight, current_output)
+            ops.exl3_had_r_128(
+                current_output,
+                current_output,
+                None,
+                layer.w2_svh.exl3_tensors[down_key],
+                1.0,
+            )
+            current_output.mul_(route_weight)
+            output.index_add_(0, token_pos, current_output)
 
         if output.dtype != original_dtype:
             output = output.to(original_dtype)
@@ -1509,14 +1630,23 @@ def ptr_tensor(prefix: str, attr: str, shard_id: str):
             1,
             torch.cuda.get_device_properties(device).multi_processor_count // 12,
         )
+        capability = current_platform.get_device_capability(device.index)
+        is_sm110 = capability is not None and capability.major == 11
+        layer.exl3_moe_max_tokens_per_expert = (
+            _EXL3_MOE_SM110_MAX_TOKENS_PER_EXPERT if is_sm110 else _EXL3_MOE_DEFAULT_MAX_TOKENS_PER_EXPERT
+        )
+        layer.exl3_moe_short_max_tokens_per_expert = (
+            _EXL3_MOE_SM110_SHORT_MAX_TOKENS_PER_EXPERT if is_sm110 else layer.exl3_moe_max_tokens_per_expert
+        )
+        layer.exl3_moe_short_token_threshold = _EXL3_MOE_SM110_SHORT_TOKEN_THRESHOLD if is_sm110 else 0
         temp_shape_hidden = (
             concurrency,
-            _EXL3_MOE_MAX_TOKENS_PER_EXPERT,
+            layer.exl3_moe_max_tokens_per_expert,
             layer.hidden_size,
         )
         temp_shape_intermediate = (
             concurrency,
-            _EXL3_MOE_MAX_TOKENS_PER_EXPERT,
+            layer.exl3_moe_max_tokens_per_expert,
             intermediate_size,
         )
         layer.exl3_temp_state_g = torch.empty(temp_shape_hidden, dtype=torch.float16, device=device)
@@ -1531,6 +1661,7 @@ def _apply_exl3(
         x: torch.Tensor,
         expert_id: int,
         shard_id: str,
+        output_dtype: torch.dtype = torch.float16,
     ) -> torch.Tensor:
         key = (expert_id, shard_id)
         suh = getattr(layer, f"{prefix}_suh").exl3_tensors[key]
@@ -1542,11 +1673,13 @@ def _apply_exl3(
         output = torch.empty(
             (x.shape[0], trellis.shape[1] * 16),
             device=x.device,
-            dtype=torch.float16,
+            dtype=output_dtype,
         )
         x_had = torch.empty_like(x)
 
         if x.shape[0] <= 32:
+            if output_dtype != torch.float16:
+                raise ValueError("The EXL3 GEMM path only supports float16 output")
             ops.exl3_gemm(
                 x,
                 trellis,
diff --git a/aphrodite/model_executor/models/lfm2_moe.py b/aphrodite/model_executor/models/lfm2_moe.py
index 48a7f1cdcc..d494f71ecc 100644
--- a/aphrodite/model_executor/models/lfm2_moe.py
+++ b/aphrodite/model_executor/models/lfm2_moe.py
@@ -56,6 +56,7 @@
     make_empty_intermediate_tensors_factory,
     make_layers,
     maybe_prefix,
+    model_should_use_tied_lm_head,
 )
 
 
@@ -573,6 +574,7 @@ def __init__(self, *, aphrodite_config: AphroditeConfig, prefix: str = "") -> No
 
         super().__init__()
         self.config = config
+        self.use_tied_lm_head = model_should_use_tied_lm_head(config, quant_config)
         self.model = Lfm2MoeModel(aphrodite_config=aphrodite_config, prefix=maybe_prefix(prefix, "model"))
 
         if get_pp_group().is_last_rank:
@@ -582,7 +584,8 @@ def __init__(self, *, aphrodite_config: AphroditeConfig, prefix: str = "") -> No
                 quant_config=quant_config,
                 prefix=maybe_prefix(prefix, "lm_head"),
             )
-            self.lm_head = self.lm_head.tie_weights(self.model.embed_tokens)
+            if self.use_tied_lm_head:
+                self.lm_head.weight = self.model.embed_tokens.weight
         else:
             self.lm_head = PPMissingLayer()
 
@@ -653,6 +656,6 @@ def compute_logits(self, hidden_states: torch.Tensor) -> torch.Tensor:
     def load_weights(self, weights: Iterable[tuple[str, torch.Tensor]]) -> set[str]:
         loader = AutoWeightsLoader(
             self,
-            skip_prefixes=(["lm_head."] if self.config.tie_word_embeddings else None),
+            skip_prefixes=(["lm_head."] if self.use_tied_lm_head else None),
         )
         return loader.load_weights(weights)
diff --git a/csrc/libtorch_stable/exl3_torch_bindings.cpp b/csrc/libtorch_stable/exl3_torch_bindings.cpp
index e0423178ad..2840ce7369 100644
--- a/csrc/libtorch_stable/exl3_torch_bindings.cpp
+++ b/csrc/libtorch_stable/exl3_torch_bindings.cpp
@@ -17,6 +17,7 @@
 #include "quantization/exl3/exllamav3_ext/quant/exl3_moe.cuh"
 #include "quantization/exl3/exllamav3_ext/quant/hadamard.cuh"
 #include "quantization/exl3/exllamav3_ext/quant/reconstruct.cuh"
+#include "quantization/exl3/exllamav3_ext/quant/util.cuh"
 
 // Thin adapters between the torch schema (int64/double/bool) and the native
 // kernel entry points (int/float). Defined here rather than in a shared header
@@ -51,6 +52,13 @@ static void aphrodite_exl3_reconstruct(torch::stable::Tensor unpacked,
   reconstruct(unpacked, packed, static_cast<int>(k), mcg, mul1);
 }
 
+static void aphrodite_exl3_reconstruct_slice(torch::stable::Tensor unpacked,
+                                             torch::stable::Tensor packed,
+                                             int64_t k, bool mcg, bool mul1,
+                                             int64_t n_offset) {
+  reconstruct_slice(unpacked, packed, static_cast<int>(k), mcg, mul1, n_offset);
+}
+
 static void aphrodite_exl3_had_r_128(
     const torch::stable::Tensor& input, const torch::stable::Tensor& output,
     const std::optional<torch::stable::Tensor>& pre_scale,
@@ -58,6 +66,17 @@ static void aphrodite_exl3_had_r_128(
   had_r_128(input, output, pre_scale, post_scale, static_cast<float>(scale));
 }
 
+static void aphrodite_exl3_had_r_128_dual(
+    const torch::stable::Tensor& input1, const torch::stable::Tensor& output1,
+    const std::optional<torch::stable::Tensor>& pre_scale1,
+    const std::optional<torch::stable::Tensor>& post_scale1,
+    const torch::stable::Tensor& input2, const torch::stable::Tensor& output2,
+    const std::optional<torch::stable::Tensor>& pre_scale2,
+    const std::optional<torch::stable::Tensor>& post_scale2, double scale) {
+  had_r_128_dual(input1, output1, pre_scale1, post_scale1, input2, output2,
+                 pre_scale2, post_scale2, static_cast<float>(scale));
+}
+
 static void aphrodite_exl3_hgemm(torch::stable::Tensor a,
                                  torch::stable::Tensor b,
                                  torch::stable::Tensor c) {
@@ -87,6 +106,38 @@ static void aphrodite_exl3_moe(const torch::stable::Tensor& hidden_state,
                                bool gate_mcg, bool gate_mul1, bool up_mcg,
                                bool up_mul1, bool down_mcg, bool down_mul1,
                                double act_limit) {
+  exl3_moe(
+      hidden_state, output_state, expert_count, token_sorted, weight_sorted,
+      temp_state_g, temp_state_u, temp_intermediate_g, temp_intermediate_u,
+      static_cast<int>(act_function), static_cast<int>(K_gate),
+      static_cast<int>(K_up), static_cast<int>(K_down), gate_ptrs_trellis,
+      gate_ptrs_suh, gate_ptrs_svh, up_ptrs_trellis, up_ptrs_suh, up_ptrs_svh,
+      down_ptrs_trellis, down_ptrs_suh, down_ptrs_svh, gate_mcg, gate_mul1,
+      up_mcg, up_mul1, down_mcg, down_mul1, static_cast<float>(act_limit), -1);
+}
+
+static void aphrodite_exl3_moe_active(
+    const torch::stable::Tensor& hidden_state,
+    const torch::stable::Tensor& output_state,
+    const torch::stable::Tensor& expert_count,
+    const torch::stable::Tensor& token_sorted,
+    const torch::stable::Tensor& weight_sorted,
+    const torch::stable::Tensor& temp_state_g,
+    const torch::stable::Tensor& temp_state_u,
+    const torch::stable::Tensor& temp_intermediate_g,
+    const torch::stable::Tensor& temp_intermediate_u, int64_t act_function,
+    int64_t K_gate, int64_t K_up, int64_t K_down,
+    const torch::stable::Tensor& gate_ptrs_trellis,
+    const torch::stable::Tensor& gate_ptrs_suh,
+    const torch::stable::Tensor& gate_ptrs_svh,
+    const torch::stable::Tensor& up_ptrs_trellis,
+    const torch::stable::Tensor& up_ptrs_suh,
+    const torch::stable::Tensor& up_ptrs_svh,
+    const torch::stable::Tensor& down_ptrs_trellis,
+    const torch::stable::Tensor& down_ptrs_suh,
+    const torch::stable::Tensor& down_ptrs_svh, bool gate_mcg, bool gate_mul1,
+    bool up_mcg, bool up_mul1, bool down_mcg, bool down_mul1, double act_limit,
+    int64_t num_active) {
   exl3_moe(hidden_state, output_state, expert_count, token_sorted,
            weight_sorted, temp_state_g, temp_state_u, temp_intermediate_g,
            temp_intermediate_u, static_cast<int>(act_function),
@@ -94,7 +145,8 @@ static void aphrodite_exl3_moe(const torch::stable::Tensor& hidden_state,
            static_cast<int>(K_down), gate_ptrs_trellis, gate_ptrs_suh,
            gate_ptrs_svh, up_ptrs_trellis, up_ptrs_suh, up_ptrs_svh,
            down_ptrs_trellis, down_ptrs_suh, down_ptrs_svh, gate_mcg, gate_mul1,
-           up_mcg, up_mul1, down_mcg, down_mul1, static_cast<float>(act_limit));
+           up_mcg, up_mul1, down_mcg, down_mul1, static_cast<float>(act_limit),
+           static_cast<int>(num_active));
 }
 
 // ---------------------------------------------------------------------------
@@ -113,9 +165,16 @@ STABLE_TORCH_LIBRARY_FRAGMENT(_C, ops) {
   ops.def(
       "exl3_reconstruct(Tensor! unpacked, Tensor packed, int k, bool mcg, "
       "bool mul1) -> ()");
+  ops.def(
+      "exl3_reconstruct_slice(Tensor! unpacked, Tensor packed, int k, bool "
+      "mcg, bool mul1, int n_offset) -> ()");
   ops.def(
       "exl3_had_r_128(Tensor input, Tensor! output, Tensor? pre_scale, "
       "Tensor? post_scale, float scale) -> ()");
+  ops.def(
+      "exl3_had_r_128_dual(Tensor input1, Tensor! output1, Tensor? "
+      "pre_scale1, Tensor? post_scale1, Tensor input2, Tensor! output2, "
+      "Tensor? pre_scale2, Tensor? post_scale2, float scale) -> ()");
   ops.def("exl3_hgemm(Tensor a, Tensor b, Tensor! c) -> ()");
   ops.def(
       "exl3_moe(Tensor hidden_state, Tensor! output_state, Tensor "
@@ -127,13 +186,33 @@ STABLE_TORCH_LIBRARY_FRAGMENT(_C, ops) {
       "up_ptrs_svh, Tensor down_ptrs_trellis, Tensor down_ptrs_suh, Tensor "
       "down_ptrs_svh, bool gate_mcg, bool gate_mul1, bool up_mcg, bool "
       "up_mul1, bool down_mcg, bool down_mul1, float act_limit) -> ()");
+  ops.def(
+      "exl3_moe_active(Tensor hidden_state, Tensor! output_state, Tensor "
+      "expert_count, Tensor token_sorted, Tensor weight_sorted, Tensor "
+      "temp_state_g, Tensor temp_state_u, Tensor temp_intermediate_g, Tensor "
+      "temp_intermediate_u, int act_function, int K_gate, int K_up, int "
+      "K_down, Tensor gate_ptrs_trellis, Tensor gate_ptrs_suh, Tensor "
+      "gate_ptrs_svh, Tensor up_ptrs_trellis, Tensor up_ptrs_suh, Tensor "
+      "up_ptrs_svh, Tensor down_ptrs_trellis, Tensor down_ptrs_suh, Tensor "
+      "down_ptrs_svh, bool gate_mcg, bool gate_mul1, bool up_mcg, bool "
+      "up_mul1, bool down_mcg, bool down_mul1, float act_limit, int "
+      "num_active) -> ()");
+  ops.def(
+      "make_gate_up_indices(Tensor! out, Tensor indices, int offset) -> ()");
+  ops.def("silu_mul(Tensor! out, Tensor gate, Tensor up) -> ()");
 }
 
 STABLE_TORCH_LIBRARY_IMPL(_C, CUDA, ops) {
   ops.impl("exl3_gemm", TORCH_BOX(&aphrodite_exl3_gemm));
   ops.impl("exl3_mgemm", TORCH_BOX(&aphrodite_exl3_mgemm));
   ops.impl("exl3_reconstruct", TORCH_BOX(&aphrodite_exl3_reconstruct));
+  ops.impl("exl3_reconstruct_slice",
+           TORCH_BOX(&aphrodite_exl3_reconstruct_slice));
   ops.impl("exl3_had_r_128", TORCH_BOX(&aphrodite_exl3_had_r_128));
+  ops.impl("exl3_had_r_128_dual", TORCH_BOX(&aphrodite_exl3_had_r_128_dual));
   ops.impl("exl3_hgemm", TORCH_BOX(&aphrodite_exl3_hgemm));
   ops.impl("exl3_moe", TORCH_BOX(&aphrodite_exl3_moe));
+  ops.impl("exl3_moe_active", TORCH_BOX(&aphrodite_exl3_moe_active));
+  ops.impl("make_gate_up_indices", TORCH_BOX(&exl3_make_gate_up_indices));
+  ops.impl("silu_mul", TORCH_BOX(&exl3_silu_mul));
 }
diff --git a/csrc/quantization/exl3/UPSTREAM.md b/csrc/quantization/exl3/UPSTREAM.md
new file mode 100644
index 0000000000..937e89d720
--- /dev/null
+++ b/csrc/quantization/exl3/UPSTREAM.md
@@ -0,0 +1,12 @@
+# EXL3 upstream source
+
+The inference kernels in `exllamav3_ext` are vendored from
+[`turboderp-org/exllamav3`](https://github.com/turboderp-org/exllamav3).
+
+- Branch: `dev`
+- Commit: `cf055324f0725c30a94a9e96927f4597ec56fbc2`
+- Upstream version: `1.3.0`
+
+Sonar supplies its own stable Torch ABI registrations and integrates the
+kernels with its own model loader, tensor-parallel implementation, and engine.
+Conversion kernels and the standalone ExLlama runtime are not vendored.
diff --git a/csrc/quantization/exl3/exllamav3_ext/hgemm.cu b/csrc/quantization/exl3/exllamav3_ext/hgemm.cu
index b83215a907..70e810e80d 100644
--- a/csrc/quantization/exl3/exllamav3_ext/hgemm.cu
+++ b/csrc/quantization/exl3/exllamav3_ext/hgemm.cu
@@ -3,6 +3,7 @@
 #include "util.h"
 #include "util.cuh"
 #include "quant/exl3_devctx.cuh"
+#include <limits>
 
 /*
 
@@ -15,11 +16,10 @@ accumulate)
 
 using bfloat16 = __nv_bfloat16;
 
-void hgemm_gr(at::Tensor a, at::Tensor b, at::Tensor c, Graph* graph) {
+static void hgemm_gemmex_impl(at::Tensor a, at::Tensor b, at::Tensor c,
+                              cudaStream_t stream) {
   const torch::stable::accelerator::DeviceGuard device_guard(
       a.get_device_index());
-  cudaStream_t stream = graph ? graph->capture_stream
-                              : get_current_cuda_stream(a.get_device_index());
 
   bool output_fp32 = c.scalar_type() == at::kFloat;
   bool output_fp16 = c.scalar_type() == at::kHalf;
@@ -30,8 +30,10 @@ void hgemm_gr(at::Tensor a, at::Tensor b, at::Tensor c, Graph* graph) {
   TORCH_CHECK_DTYPE(a, kHalf);
   TORCH_CHECK_DTYPE(b, kHalf);
   TORCH_CHECK_DIM(b, 2);
+  TORCH_CHECK(c.dim() >= 2, "c must have at least 2 dimensions");
   TORCH_CHECK_SHAPES(a, -1, b, 0, 1);
   TORCH_CHECK_SHAPES(b, 1, c, -1, 1);
+  TORCH_CHECK(c.stride(-1) == 1, "c must have contiguous columns");
 
   const half* a_ptr = (const half*)a.data_ptr();
   const half* b_ptr = (const half*)b.data_ptr();
@@ -39,6 +41,10 @@ void hgemm_gr(at::Tensor a, at::Tensor b, at::Tensor c, Graph* graph) {
   int size_k = a.size(-1);
   int size_m = a.numel() / size_k;
   int size_n = b.size(-1);
+  int64_t c_stride_m = c.stride(-2);
+  TORCH_CHECK(c_stride_m >= size_n, "c row stride is too small");
+  TORCH_CHECK(c_stride_m <= std::numeric_limits<int>::max(),
+              "c row stride is too large");
 
   // Set cuBLAS modes and workspace
   cublasHandle_t cublas_handle = get_current_cuda_blas_handle();
@@ -49,30 +55,22 @@ void hgemm_gr(at::Tensor a, at::Tensor b, at::Tensor c, Graph* graph) {
   void* ws = DevCtx::instance().get_ws(device);
   cublasSetWorkspace(cublas_handle, ws, WORKSPACE_SIZE);
 
-  if (output_fp16) {
-    half alpha_ = __float2half(1.0f);
-    half beta_ = __float2half(0.0f);
-
-    half* c_ptr = (half*)c.data_ptr();
-    auto r = cublasHgemm(cublas_handle, CUBLAS_OP_N, CUBLAS_OP_N, size_n,
-                         size_m, size_k, &alpha_, b_ptr, size_n, a_ptr, size_k,
-                         &beta_, c_ptr, size_n);
-    cublas_check(r);
-    cuda_check(cudaPeekAtLastError());
-  }
-  if (output_fp32) {
-    float alpha_ = 1.0f;
-    float beta_ = 0.0f;
+  float alpha_ = 1.0f;
+  float beta_ = 0.0f;
+  cudaDataType_t c_type = output_fp32 ? CUDA_R_32F : CUDA_R_16F;
+  auto r = cublasGemmEx(cublas_handle, CUBLAS_OP_N, CUBLAS_OP_N, size_n, size_m,
+                        size_k, &alpha_, b_ptr, CUDA_R_16F, size_n, a_ptr,
+                        CUDA_R_16F, size_k, &beta_, c.data_ptr(), c_type,
+                        (int)c_stride_m, CUBLAS_COMPUTE_32F,
+                        CUBLAS_GEMM_DEFAULT_TENSOR_OP);
+  cublas_check(r);
+  cuda_check(cudaPeekAtLastError());
+}
 
-    float* c_ptr = (float*)c.data_ptr();
-    auto r =
-        cublasGemmEx(cublas_handle, CUBLAS_OP_N, CUBLAS_OP_N, size_n, size_m,
-                     size_k, &alpha_, b_ptr, CUDA_R_16F, size_n, a_ptr,
-                     CUDA_R_16F, size_k, &beta_, c_ptr, CUDA_R_32F, size_n,
-                     CUBLAS_COMPUTE_32F, CUBLAS_GEMM_DEFAULT_TENSOR_OP);
-    cublas_check(r);
-    cuda_check(cudaPeekAtLastError());
-  }
+void hgemm_gr(at::Tensor a, at::Tensor b, at::Tensor c, Graph* graph) {
+  cudaStream_t stream = graph ? graph->capture_stream
+                              : get_current_cuda_stream(a.get_device_index());
+  hgemm_gemmex_impl(a, b, c, stream);
 
   if (graph) graph->need_cublas = true;
 }
diff --git a/csrc/quantization/exl3/exllamav3_ext/ptx.cuh b/csrc/quantization/exl3/exllamav3_ext/ptx.cuh
index fb6624b229..ee69d39d46 100644
--- a/csrc/quantization/exl3/exllamav3_ext/ptx.cuh
+++ b/csrc/quantization/exl3/exllamav3_ext/ptx.cuh
@@ -206,7 +206,10 @@ __device__ __forceinline__ uint4 ldg_cv_u128(const uint4* p) {
 
 __device__ __forceinline__ uint32_t ldg_acquire_sys_u32(const uint32_t* p) {
   uint32_t v;
-  asm volatile("ld.global.acquire.sys.u32 %0, [%1];" : "=r"(v) : "l"(p));
+  asm volatile("ld.global.acquire.sys.u32 %0, [%1];"
+               : "=r"(v)
+               : "l"(p)
+               : "memory");
   return v;
 }
 
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/codebook.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/codebook.cuh
index d031dc8a47..c892312520 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/codebook.cuh
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/codebook.cuh
@@ -1,9 +1,9 @@
 #pragma once
 
-// Force integer MAD on sm<=86. For some reason this performs better than
-// letting the compiler emit IMUL
-// TODO: Keep an eye on new behavior in future versions of nvcc. While this is
-// faster on RTX 3090, it really shouldn't be.
+// This used to force integer MAD on sm_86 via inline asm, which outperformed
+// the IMUL emitted by older nvcc versions on the RTX 3090. As of CUDA 13.2 the
+// workaround has inverted: the plain multiply is ~4% faster end-to-end at m=1.
+// Kept as a hook in case it regresses again.
 template <uint32_t w>
 __device__ __forceinline__ uint32_t mul_const_u32(uint32_t x) {
 #if defined(__CUDA_ARCH__) && (__CUDA_ARCH__ == 860)
@@ -22,6 +22,37 @@ __device__ __forceinline__ uint32_t mul_const_u32(uint32_t x) {
 #endif
 }
 
+// Decode two mul1 (cb 2) codebook entries from precomputed products x0 = idx0 *
+// 0x83DCD12D, x1 = idx1 * 0x83DCD12D
+__device__ inline half2 decode_mul1_product_2(uint32_t x0, uint32_t x1) {
+  const uint32_t acc = 0x6400u;  // 0x6400 -> 1024.0 ..  0x67FF -> 2047.0
+  // uint32_t sum0;
+  // uint32_t sum1;
+  // asm ("vabsdiff4.u32.u32.u32.add %0, %1, %2, %3;" : "=r"(sum0) : "r"(x0),
+  // "r"(0), "r"(acc) : ); asm ("vabsdiff4.u32.u32.u32.add %0, %1, %2, %3;" :
+  // "=r"(sum1) : "r"(x1), "r"(0), "r"(acc) : );
+  uint32_t sum0 = __dp4a(x0, 0x01010101u, acc);
+  uint32_t sum1 = __dp4a(x1, 0x01010101u, acc);
+  half2 k_inv_h2 =
+      __half2half2(__ushort_as_half(0x1eee));  //  0.00677 = 1/147.7
+  half2 k_bias_h2 = __half2half2(
+      __ushort_as_half(0xc931));  // -10.39 = (-1024.0 - 510.0) * k_inv_h
+  half_uint16 h0((uint16_t)sum0);
+  half_uint16 h1((uint16_t)sum1);
+  return __hfma2(__halves2half2(h0.as_half, h1.as_half), k_inv_h2, k_bias_h2);
+}
+
+// Ditto mcg (cb 1)
+__device__ inline half2 decode_mcg_product_2(uint32_t x0, uint32_t x1) {
+  asm("lop3.b32 %0, %0, 0x8fff8fff, 0x3b603b60, 0x6a;" : "+r"(x0));
+  asm("lop3.b32 %0, %0, 0x8fff8fff, 0x3b603b60, 0x6a;" : "+r"(x1));
+  half2_uint32 xu0(x0);
+  half2_uint32 xu1(x1);
+  half2 d0 = __lows2half2(xu0.as_half2, xu1.as_half2);
+  half2 d1 = __highs2half2(xu0.as_half2, xu1.as_half2);
+  return __hadd2(d0, d1);
+}
+
 template <int cb>
 __device__ inline half decode_3inst(uint32_t x) {
   if constexpr (cb == 0) {
@@ -32,8 +63,8 @@ __device__ inline half decode_3inst(uint32_t x) {
     return __hadd(__low2half(xu.as_half2), __high2half(xu.as_half2));
   }
   if constexpr (cb == 1) {
-    //        x *= 0xCBAC1FEDu;
-    x = mul_const_u32<0xCBAC1FEDu>(x);
+    x *= 0xCBAC1FEDu;
+    // x = mul_const_u32<0xCBAC1FEDu>(x);
 
     asm("lop3.b32 %0, %0, 0x8fff8fff, 0x3b603b60, 0x6a;" : "+r"(x));
     half2_uint32 xu(x);
@@ -41,12 +72,13 @@ __device__ inline half decode_3inst(uint32_t x) {
   }
   if constexpr (cb == 2) {
     x *= 0x83DCD12Du;
-    uint32_t sum;
     const uint32_t acc = 0x6400u;  // 0x6400 -> 1024.0 ..  0x67FF -> 2047.0
-    asm("vabsdiff4.u32.u32.u32.add %0, %1, %2, %3;"
-        : "=r"(sum)
-        : "r"(x), "r"(0), "r"(acc)
-        :);
+    // Byte sum via dp4a, bit-identical to the previous vabsdiff4(x, 0, acc) but
+    // native on Blackwell where vabsdiff4 is emulated. dp4a also wins om Ampere
+    // now, possibly after compiler changes, and ties on Ada uint32_t sum; asm
+    // ("vabsdiff4.u32.u32.u32.add %0, %1, %2, %3;" : "=r"(sum) : "r"(x),
+    // "r"(0), "r"(acc) : );
+    uint32_t sum = __dp4a(x, 0x01010101u, acc);
     const __half k_inv_h = __ushort_as_half(0x1eee);  //  0.00677 = 1/147.7
     const __half k_bias_h =
         __ushort_as_half(0xc931);  // -10.39 = (-1024.0 - 510.0) * k_inv_h
@@ -71,39 +103,16 @@ __device__ inline half2 decode_3inst_2(uint32_t x0, uint32_t x1) {
     return __hadd2(d0, d1);
   }
   if constexpr (cb == 1) {
-    //        x0 *= 0xCBAC1FEDu;
-    //        x1 *= 0xCBAC1FEDu;
-    x0 = mul_const_u32<0xCBAC1FEDu>(x0);
-    x1 = mul_const_u32<0xCBAC1FEDu>(x1);
-    asm("lop3.b32 %0, %0, 0x8fff8fff, 0x3b603b60, 0x6a;" : "+r"(x0));
-    asm("lop3.b32 %0, %0, 0x8fff8fff, 0x3b603b60, 0x6a;" : "+r"(x1));
-    half2_uint32 xu0(x0);
-    half2_uint32 xu1(x1);
-    half2 d0 = __lows2half2(xu0.as_half2, xu1.as_half2);
-    half2 d1 = __highs2half2(xu0.as_half2, xu1.as_half2);
-    return __hadd2(d0, d1);
+    // x0 = mul_const_u32<0xCBAC1FEDu>(x0);
+    // x1 = mul_const_u32<0xCBAC1FEDu>(x1);
+    x0 *= 0xCBAC1FEDu;
+    x1 *= 0xCBAC1FEDu;
+    return decode_mcg_product_2(x0, x1);
   }
   if constexpr (cb == 2) {
     x0 *= 0x83DCD12Du;
     x1 *= 0x83DCD12Du;
-    uint32_t sum0;
-    uint32_t sum1;
-    const uint32_t acc = 0x6400u;  // 0x6400 -> 1024.0 ..  0x67FF -> 2047.0
-    asm("vabsdiff4.u32.u32.u32.add %0, %1, %2, %3;"
-        : "=r"(sum0)
-        : "r"(x0), "r"(0), "r"(acc)
-        :);
-    asm("vabsdiff4.u32.u32.u32.add %0, %1, %2, %3;"
-        : "=r"(sum1)
-        : "r"(x1), "r"(0), "r"(acc)
-        :);
-    half2 k_inv_h2 =
-        __half2half2(__ushort_as_half(0x1eee));  //  0.00677 = 1/147.7
-    half2 k_bias_h2 = __half2half2(
-        __ushort_as_half(0xc931));  // -10.39 = (-1024.0 - 510.0) * k_inv_h
-    half_uint16 h0((uint16_t)sum0);
-    half_uint16 h1((uint16_t)sum1);
-    return __hfma2(__halves2half2(h0.as_half, h1.as_half), k_inv_h2, k_bias_h2);
+    return decode_mul1_product_2(x0, x1);
   }
 }
 
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_1_cb0.cu
similarity index 81%
rename from csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_1.cu
rename to csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_1_cb0.cu
index cfcb2074c4..919191d6d1 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_1.cu
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_1_cb0.cu
@@ -1,4 +1,5 @@
 #include <cuda_fp16.h>
+#include <cublas_v2.h>
 #include <cooperative_groups.h>
 namespace cg = cooperative_groups;
 #include "../../util.h"
@@ -7,4 +8,4 @@ namespace cg = cooperative_groups;
 #include "../exl3_gemm_kernel.cuh"
 #include "exl3_comp_unit_1.cuh"
 
-ALL_EXL3_KERNEL_INSTANCES(1)
\ No newline at end of file
+EXL3_KERNEL_INSTANCES_CB(1, 0)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_1_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_1_cb1.cu
new file mode 100644
index 0000000000..167588c147
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_1_cb1.cu
@@ -0,0 +1,11 @@
+#include <cuda_fp16.h>
+#include <cublas_v2.h>
+#include <cooperative_groups.h>
+namespace cg = cooperative_groups;
+#include "../../util.h"
+#include "../../util.cuh"
+#include "../../ptx.cuh"
+#include "../exl3_gemm_kernel.cuh"
+#include "exl3_comp_unit_1.cuh"
+
+EXL3_KERNEL_INSTANCES_CB(1, 1)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_1_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_1_cb2.cu
new file mode 100644
index 0000000000..a8eee71fb4
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_1_cb2.cu
@@ -0,0 +1,11 @@
+#include <cuda_fp16.h>
+#include <cublas_v2.h>
+#include <cooperative_groups.h>
+namespace cg = cooperative_groups;
+#include "../../util.h"
+#include "../../util.cuh"
+#include "../../ptx.cuh"
+#include "../exl3_gemm_kernel.cuh"
+#include "exl3_comp_unit_1.cuh"
+
+EXL3_KERNEL_INSTANCES_CB(1, 2)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_2_cb0.cu
similarity index 81%
rename from csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_2.cu
rename to csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_2_cb0.cu
index 64375a4a86..8eac8aad80 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_2.cu
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_2_cb0.cu
@@ -1,4 +1,5 @@
 #include <cuda_fp16.h>
+#include <cublas_v2.h>
 #include <cooperative_groups.h>
 namespace cg = cooperative_groups;
 #include "../../util.h"
@@ -7,4 +8,4 @@ namespace cg = cooperative_groups;
 #include "../exl3_gemm_kernel.cuh"
 #include "exl3_comp_unit_2.cuh"
 
-ALL_EXL3_KERNEL_INSTANCES(2)
+EXL3_KERNEL_INSTANCES_CB(2, 0)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_2_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_2_cb1.cu
new file mode 100644
index 0000000000..cc2891655c
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_2_cb1.cu
@@ -0,0 +1,11 @@
+#include <cuda_fp16.h>
+#include <cublas_v2.h>
+#include <cooperative_groups.h>
+namespace cg = cooperative_groups;
+#include "../../util.h"
+#include "../../util.cuh"
+#include "../../ptx.cuh"
+#include "../exl3_gemm_kernel.cuh"
+#include "exl3_comp_unit_2.cuh"
+
+EXL3_KERNEL_INSTANCES_CB(2, 1)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_2_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_2_cb2.cu
new file mode 100644
index 0000000000..dcae1de85c
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_2_cb2.cu
@@ -0,0 +1,11 @@
+#include <cuda_fp16.h>
+#include <cublas_v2.h>
+#include <cooperative_groups.h>
+namespace cg = cooperative_groups;
+#include "../../util.h"
+#include "../../util.cuh"
+#include "../../ptx.cuh"
+#include "../exl3_gemm_kernel.cuh"
+#include "exl3_comp_unit_2.cuh"
+
+EXL3_KERNEL_INSTANCES_CB(2, 2)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_3.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_3_cb0.cu
similarity index 81%
rename from csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_3.cu
rename to csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_3_cb0.cu
index c756851ba5..2a20d50410 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_3.cu
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_3_cb0.cu
@@ -1,4 +1,5 @@
 #include <cuda_fp16.h>
+#include <cublas_v2.h>
 #include <cooperative_groups.h>
 namespace cg = cooperative_groups;
 #include "../../util.h"
@@ -7,4 +8,4 @@ namespace cg = cooperative_groups;
 #include "../exl3_gemm_kernel.cuh"
 #include "exl3_comp_unit_3.cuh"
 
-ALL_EXL3_KERNEL_INSTANCES(3)
+EXL3_KERNEL_INSTANCES_CB(3, 0)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_3_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_3_cb1.cu
new file mode 100644
index 0000000000..b0932c92e1
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_3_cb1.cu
@@ -0,0 +1,11 @@
+#include <cuda_fp16.h>
+#include <cublas_v2.h>
+#include <cooperative_groups.h>
+namespace cg = cooperative_groups;
+#include "../../util.h"
+#include "../../util.cuh"
+#include "../../ptx.cuh"
+#include "../exl3_gemm_kernel.cuh"
+#include "exl3_comp_unit_3.cuh"
+
+EXL3_KERNEL_INSTANCES_CB(3, 1)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_3_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_3_cb2.cu
new file mode 100644
index 0000000000..36b77d78ac
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_3_cb2.cu
@@ -0,0 +1,11 @@
+#include <cuda_fp16.h>
+#include <cublas_v2.h>
+#include <cooperative_groups.h>
+namespace cg = cooperative_groups;
+#include "../../util.h"
+#include "../../util.cuh"
+#include "../../ptx.cuh"
+#include "../exl3_gemm_kernel.cuh"
+#include "exl3_comp_unit_3.cuh"
+
+EXL3_KERNEL_INSTANCES_CB(3, 2)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_4.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_4_cb0.cu
similarity index 81%
rename from csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_4.cu
rename to csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_4_cb0.cu
index 744e7b40f7..d333fa628d 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_4.cu
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_4_cb0.cu
@@ -1,4 +1,5 @@
 #include <cuda_fp16.h>
+#include <cublas_v2.h>
 #include <cooperative_groups.h>
 namespace cg = cooperative_groups;
 #include "../../util.h"
@@ -7,4 +8,4 @@ namespace cg = cooperative_groups;
 #include "../exl3_gemm_kernel.cuh"
 #include "exl3_comp_unit_4.cuh"
 
-ALL_EXL3_KERNEL_INSTANCES(4)
+EXL3_KERNEL_INSTANCES_CB(4, 0)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_4_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_4_cb1.cu
new file mode 100644
index 0000000000..3fd0394834
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_4_cb1.cu
@@ -0,0 +1,11 @@
+#include <cuda_fp16.h>
+#include <cublas_v2.h>
+#include <cooperative_groups.h>
+namespace cg = cooperative_groups;
+#include "../../util.h"
+#include "../../util.cuh"
+#include "../../ptx.cuh"
+#include "../exl3_gemm_kernel.cuh"
+#include "exl3_comp_unit_4.cuh"
+
+EXL3_KERNEL_INSTANCES_CB(4, 1)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_4_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_4_cb2.cu
new file mode 100644
index 0000000000..d7b9f5c503
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_4_cb2.cu
@@ -0,0 +1,11 @@
+#include <cuda_fp16.h>
+#include <cublas_v2.h>
+#include <cooperative_groups.h>
+namespace cg = cooperative_groups;
+#include "../../util.h"
+#include "../../util.cuh"
+#include "../../ptx.cuh"
+#include "../exl3_gemm_kernel.cuh"
+#include "exl3_comp_unit_4.cuh"
+
+EXL3_KERNEL_INSTANCES_CB(4, 2)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_5.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_5_cb0.cu
similarity index 81%
rename from csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_5.cu
rename to csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_5_cb0.cu
index adc99dac25..3430104125 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_5.cu
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_5_cb0.cu
@@ -1,4 +1,5 @@
 #include <cuda_fp16.h>
+#include <cublas_v2.h>
 #include <cooperative_groups.h>
 namespace cg = cooperative_groups;
 #include "../../util.h"
@@ -7,4 +8,4 @@ namespace cg = cooperative_groups;
 #include "../exl3_gemm_kernel.cuh"
 #include "exl3_comp_unit_5.cuh"
 
-ALL_EXL3_KERNEL_INSTANCES(5)
+EXL3_KERNEL_INSTANCES_CB(5, 0)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_5_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_5_cb1.cu
new file mode 100644
index 0000000000..4d69ce6b7a
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_5_cb1.cu
@@ -0,0 +1,11 @@
+#include <cuda_fp16.h>
+#include <cublas_v2.h>
+#include <cooperative_groups.h>
+namespace cg = cooperative_groups;
+#include "../../util.h"
+#include "../../util.cuh"
+#include "../../ptx.cuh"
+#include "../exl3_gemm_kernel.cuh"
+#include "exl3_comp_unit_5.cuh"
+
+EXL3_KERNEL_INSTANCES_CB(5, 1)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_5_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_5_cb2.cu
new file mode 100644
index 0000000000..757278deeb
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_5_cb2.cu
@@ -0,0 +1,11 @@
+#include <cuda_fp16.h>
+#include <cublas_v2.h>
+#include <cooperative_groups.h>
+namespace cg = cooperative_groups;
+#include "../../util.h"
+#include "../../util.cuh"
+#include "../../ptx.cuh"
+#include "../exl3_gemm_kernel.cuh"
+#include "exl3_comp_unit_5.cuh"
+
+EXL3_KERNEL_INSTANCES_CB(5, 2)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_6.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_6_cb0.cu
similarity index 81%
rename from csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_6.cu
rename to csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_6_cb0.cu
index 9593457ae9..e60afdc0bb 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_6.cu
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_6_cb0.cu
@@ -1,4 +1,5 @@
 #include <cuda_fp16.h>
+#include <cublas_v2.h>
 #include <cooperative_groups.h>
 namespace cg = cooperative_groups;
 #include "../../util.h"
@@ -7,4 +8,4 @@ namespace cg = cooperative_groups;
 #include "../exl3_gemm_kernel.cuh"
 #include "exl3_comp_unit_6.cuh"
 
-ALL_EXL3_KERNEL_INSTANCES(6)
+EXL3_KERNEL_INSTANCES_CB(6, 0)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_6_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_6_cb1.cu
new file mode 100644
index 0000000000..8f1352cb38
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_6_cb1.cu
@@ -0,0 +1,11 @@
+#include <cuda_fp16.h>
+#include <cublas_v2.h>
+#include <cooperative_groups.h>
+namespace cg = cooperative_groups;
+#include "../../util.h"
+#include "../../util.cuh"
+#include "../../ptx.cuh"
+#include "../exl3_gemm_kernel.cuh"
+#include "exl3_comp_unit_6.cuh"
+
+EXL3_KERNEL_INSTANCES_CB(6, 1)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_6_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_6_cb2.cu
new file mode 100644
index 0000000000..660dc12ea5
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_6_cb2.cu
@@ -0,0 +1,11 @@
+#include <cuda_fp16.h>
+#include <cublas_v2.h>
+#include <cooperative_groups.h>
+namespace cg = cooperative_groups;
+#include "../../util.h"
+#include "../../util.cuh"
+#include "../../ptx.cuh"
+#include "../exl3_gemm_kernel.cuh"
+#include "exl3_comp_unit_6.cuh"
+
+EXL3_KERNEL_INSTANCES_CB(6, 2)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_7.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_7_cb0.cu
similarity index 81%
rename from csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_7.cu
rename to csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_7_cb0.cu
index cb7af49662..11e41df823 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_7.cu
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_7_cb0.cu
@@ -1,4 +1,5 @@
 #include <cuda_fp16.h>
+#include <cublas_v2.h>
 #include <cooperative_groups.h>
 namespace cg = cooperative_groups;
 #include "../../util.h"
@@ -7,4 +8,4 @@ namespace cg = cooperative_groups;
 #include "../exl3_gemm_kernel.cuh"
 #include "exl3_comp_unit_7.cuh"
 
-ALL_EXL3_KERNEL_INSTANCES(7)
+EXL3_KERNEL_INSTANCES_CB(7, 0)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_7_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_7_cb1.cu
new file mode 100644
index 0000000000..5327a6ec59
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_7_cb1.cu
@@ -0,0 +1,11 @@
+#include <cuda_fp16.h>
+#include <cublas_v2.h>
+#include <cooperative_groups.h>
+namespace cg = cooperative_groups;
+#include "../../util.h"
+#include "../../util.cuh"
+#include "../../ptx.cuh"
+#include "../exl3_gemm_kernel.cuh"
+#include "exl3_comp_unit_7.cuh"
+
+EXL3_KERNEL_INSTANCES_CB(7, 1)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_7_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_7_cb2.cu
new file mode 100644
index 0000000000..b94e974f68
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_7_cb2.cu
@@ -0,0 +1,11 @@
+#include <cuda_fp16.h>
+#include <cublas_v2.h>
+#include <cooperative_groups.h>
+namespace cg = cooperative_groups;
+#include "../../util.h"
+#include "../../util.cuh"
+#include "../../ptx.cuh"
+#include "../exl3_gemm_kernel.cuh"
+#include "exl3_comp_unit_7.cuh"
+
+EXL3_KERNEL_INSTANCES_CB(7, 2)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_8.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_8_cb0.cu
similarity index 81%
rename from csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_8.cu
rename to csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_8_cb0.cu
index 63ce549809..bae4416b32 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_8.cu
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_8_cb0.cu
@@ -1,4 +1,5 @@
 #include <cuda_fp16.h>
+#include <cublas_v2.h>
 #include <cooperative_groups.h>
 namespace cg = cooperative_groups;
 #include "../../util.h"
@@ -7,4 +8,4 @@ namespace cg = cooperative_groups;
 #include "../exl3_gemm_kernel.cuh"
 #include "exl3_comp_unit_8.cuh"
 
-ALL_EXL3_KERNEL_INSTANCES(8)
+EXL3_KERNEL_INSTANCES_CB(8, 0)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_8_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_8_cb1.cu
new file mode 100644
index 0000000000..698c2fcc9e
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_8_cb1.cu
@@ -0,0 +1,11 @@
+#include <cuda_fp16.h>
+#include <cublas_v2.h>
+#include <cooperative_groups.h>
+namespace cg = cooperative_groups;
+#include "../../util.h"
+#include "../../util.cuh"
+#include "../../ptx.cuh"
+#include "../exl3_gemm_kernel.cuh"
+#include "exl3_comp_unit_8.cuh"
+
+EXL3_KERNEL_INSTANCES_CB(8, 1)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_8_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_8_cb2.cu
new file mode 100644
index 0000000000..7b7bc5d1bb
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_comp_unit_8_cb2.cu
@@ -0,0 +1,11 @@
+#include <cuda_fp16.h>
+#include <cublas_v2.h>
+#include <cooperative_groups.h>
+namespace cg = cooperative_groups;
+#include "../../util.h"
+#include "../../util.cuh"
+#include "../../ptx.cuh"
+#include "../exl3_gemm_kernel.cuh"
+#include "exl3_comp_unit_8.cuh"
+
+EXL3_KERNEL_INSTANCES_CB(8, 2)
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k1.cu
new file mode 100644
index 0000000000..36b1e8f5da
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k1.cu
@@ -0,0 +1,11 @@
+#include "exl3_gemv_int8_instances.cuh"
+#include "../exl3_gemv_int8_kernel.cuh"
+
+void* exl3_gemv_int8_coop_sel_k1(bool c_fp32, bool residual) {
+  if (c_fp32)
+    return residual ? (void*)exl3_gemv_int8_coop_kernel<1, true, true>
+                    : (void*)exl3_gemv_int8_coop_kernel<1, true, false>;
+  else
+    return residual ? (void*)exl3_gemv_int8_coop_kernel<1, false, true>
+                    : (void*)exl3_gemv_int8_coop_kernel<1, false, false>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k2.cu
new file mode 100644
index 0000000000..d98b934e65
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k2.cu
@@ -0,0 +1,11 @@
+#include "exl3_gemv_int8_instances.cuh"
+#include "../exl3_gemv_int8_kernel.cuh"
+
+void* exl3_gemv_int8_coop_sel_k2(bool c_fp32, bool residual) {
+  if (c_fp32)
+    return residual ? (void*)exl3_gemv_int8_coop_kernel<2, true, true>
+                    : (void*)exl3_gemv_int8_coop_kernel<2, true, false>;
+  else
+    return residual ? (void*)exl3_gemv_int8_coop_kernel<2, false, true>
+                    : (void*)exl3_gemv_int8_coop_kernel<2, false, false>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k3.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k3.cu
new file mode 100644
index 0000000000..b8663cad0a
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k3.cu
@@ -0,0 +1,11 @@
+#include "exl3_gemv_int8_instances.cuh"
+#include "../exl3_gemv_int8_kernel.cuh"
+
+void* exl3_gemv_int8_coop_sel_k3(bool c_fp32, bool residual) {
+  if (c_fp32)
+    return residual ? (void*)exl3_gemv_int8_coop_kernel<3, true, true>
+                    : (void*)exl3_gemv_int8_coop_kernel<3, true, false>;
+  else
+    return residual ? (void*)exl3_gemv_int8_coop_kernel<3, false, true>
+                    : (void*)exl3_gemv_int8_coop_kernel<3, false, false>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k4.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k4.cu
new file mode 100644
index 0000000000..065095bd26
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k4.cu
@@ -0,0 +1,11 @@
+#include "exl3_gemv_int8_instances.cuh"
+#include "../exl3_gemv_int8_kernel.cuh"
+
+void* exl3_gemv_int8_coop_sel_k4(bool c_fp32, bool residual) {
+  if (c_fp32)
+    return residual ? (void*)exl3_gemv_int8_coop_kernel<4, true, true>
+                    : (void*)exl3_gemv_int8_coop_kernel<4, true, false>;
+  else
+    return residual ? (void*)exl3_gemv_int8_coop_kernel<4, false, true>
+                    : (void*)exl3_gemv_int8_coop_kernel<4, false, false>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k5.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k5.cu
new file mode 100644
index 0000000000..2a15204f53
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k5.cu
@@ -0,0 +1,11 @@
+#include "exl3_gemv_int8_instances.cuh"
+#include "../exl3_gemv_int8_kernel.cuh"
+
+void* exl3_gemv_int8_coop_sel_k5(bool c_fp32, bool residual) {
+  if (c_fp32)
+    return residual ? (void*)exl3_gemv_int8_coop_kernel<5, true, true>
+                    : (void*)exl3_gemv_int8_coop_kernel<5, true, false>;
+  else
+    return residual ? (void*)exl3_gemv_int8_coop_kernel<5, false, true>
+                    : (void*)exl3_gemv_int8_coop_kernel<5, false, false>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k6.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k6.cu
new file mode 100644
index 0000000000..06949a8997
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k6.cu
@@ -0,0 +1,11 @@
+#include "exl3_gemv_int8_instances.cuh"
+#include "../exl3_gemv_int8_kernel.cuh"
+
+void* exl3_gemv_int8_coop_sel_k6(bool c_fp32, bool residual) {
+  if (c_fp32)
+    return residual ? (void*)exl3_gemv_int8_coop_kernel<6, true, true>
+                    : (void*)exl3_gemv_int8_coop_kernel<6, true, false>;
+  else
+    return residual ? (void*)exl3_gemv_int8_coop_kernel<6, false, true>
+                    : (void*)exl3_gemv_int8_coop_kernel<6, false, false>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k7.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k7.cu
new file mode 100644
index 0000000000..2eb041ced1
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k7.cu
@@ -0,0 +1,11 @@
+#include "exl3_gemv_int8_instances.cuh"
+#include "../exl3_gemv_int8_kernel.cuh"
+
+void* exl3_gemv_int8_coop_sel_k7(bool c_fp32, bool residual) {
+  if (c_fp32)
+    return residual ? (void*)exl3_gemv_int8_coop_kernel<7, true, true>
+                    : (void*)exl3_gemv_int8_coop_kernel<7, true, false>;
+  else
+    return residual ? (void*)exl3_gemv_int8_coop_kernel<7, false, true>
+                    : (void*)exl3_gemv_int8_coop_kernel<7, false, false>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k8.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k8.cu
new file mode 100644
index 0000000000..24db623cca
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_coop_k8.cu
@@ -0,0 +1,11 @@
+#include "exl3_gemv_int8_instances.cuh"
+#include "../exl3_gemv_int8_kernel.cuh"
+
+void* exl3_gemv_int8_coop_sel_k8(bool c_fp32, bool residual) {
+  if (c_fp32)
+    return residual ? (void*)exl3_gemv_int8_coop_kernel<8, true, true>
+                    : (void*)exl3_gemv_int8_coop_kernel<8, true, false>;
+  else
+    return residual ? (void*)exl3_gemv_int8_coop_kernel<8, false, true>
+                    : (void*)exl3_gemv_int8_coop_kernel<8, false, false>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k1.cu
new file mode 100644
index 0000000000..c596b3cb61
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k1.cu
@@ -0,0 +1,22 @@
+#include "exl3_gemv_int8_instances.cuh"
+#include "../exl3_gemv_int8_kernel.cuh"
+
+void* exl3_gemv_int8_sq_sel_k1(int M, bool c_fp32, bool residual) {
+#define SELM_(M_)                                                          \
+  if (c_fp32)                                                              \
+    return residual ? (void*)exl3_gemv_int8_sq_kernel<1, M_, true, true>   \
+                    : (void*)exl3_gemv_int8_sq_kernel<1, M_, true, false>; \
+  else                                                                     \
+    return residual ? (void*)exl3_gemv_int8_sq_kernel<1, M_, false, true>  \
+                    : (void*)exl3_gemv_int8_sq_kernel<1, M_, false, false>;
+  switch (M) {
+    case 1: {
+      SELM_(1)
+    }
+    case 2: {
+      SELM_(2)
+    }
+  }
+#undef SELM_
+  return nullptr;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k2.cu
new file mode 100644
index 0000000000..f1a99572b2
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k2.cu
@@ -0,0 +1,22 @@
+#include "exl3_gemv_int8_instances.cuh"
+#include "../exl3_gemv_int8_kernel.cuh"
+
+void* exl3_gemv_int8_sq_sel_k2(int M, bool c_fp32, bool residual) {
+#define SELM_(M_)                                                          \
+  if (c_fp32)                                                              \
+    return residual ? (void*)exl3_gemv_int8_sq_kernel<2, M_, true, true>   \
+                    : (void*)exl3_gemv_int8_sq_kernel<2, M_, true, false>; \
+  else                                                                     \
+    return residual ? (void*)exl3_gemv_int8_sq_kernel<2, M_, false, true>  \
+                    : (void*)exl3_gemv_int8_sq_kernel<2, M_, false, false>;
+  switch (M) {
+    case 1: {
+      SELM_(1)
+    }
+    case 2: {
+      SELM_(2)
+    }
+  }
+#undef SELM_
+  return nullptr;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k3.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k3.cu
new file mode 100644
index 0000000000..3dea86a1b9
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k3.cu
@@ -0,0 +1,22 @@
+#include "exl3_gemv_int8_instances.cuh"
+#include "../exl3_gemv_int8_kernel.cuh"
+
+void* exl3_gemv_int8_sq_sel_k3(int M, bool c_fp32, bool residual) {
+#define SELM_(M_)                                                          \
+  if (c_fp32)                                                              \
+    return residual ? (void*)exl3_gemv_int8_sq_kernel<3, M_, true, true>   \
+                    : (void*)exl3_gemv_int8_sq_kernel<3, M_, true, false>; \
+  else                                                                     \
+    return residual ? (void*)exl3_gemv_int8_sq_kernel<3, M_, false, true>  \
+                    : (void*)exl3_gemv_int8_sq_kernel<3, M_, false, false>;
+  switch (M) {
+    case 1: {
+      SELM_(1)
+    }
+    case 2: {
+      SELM_(2)
+    }
+  }
+#undef SELM_
+  return nullptr;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k4.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k4.cu
new file mode 100644
index 0000000000..9f9fd57bdb
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k4.cu
@@ -0,0 +1,22 @@
+#include "exl3_gemv_int8_instances.cuh"
+#include "../exl3_gemv_int8_kernel.cuh"
+
+void* exl3_gemv_int8_sq_sel_k4(int M, bool c_fp32, bool residual) {
+#define SELM_(M_)                                                          \
+  if (c_fp32)                                                              \
+    return residual ? (void*)exl3_gemv_int8_sq_kernel<4, M_, true, true>   \
+                    : (void*)exl3_gemv_int8_sq_kernel<4, M_, true, false>; \
+  else                                                                     \
+    return residual ? (void*)exl3_gemv_int8_sq_kernel<4, M_, false, true>  \
+                    : (void*)exl3_gemv_int8_sq_kernel<4, M_, false, false>;
+  switch (M) {
+    case 1: {
+      SELM_(1)
+    }
+    case 2: {
+      SELM_(2)
+    }
+  }
+#undef SELM_
+  return nullptr;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k5.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k5.cu
new file mode 100644
index 0000000000..6c5826cb23
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k5.cu
@@ -0,0 +1,22 @@
+#include "exl3_gemv_int8_instances.cuh"
+#include "../exl3_gemv_int8_kernel.cuh"
+
+void* exl3_gemv_int8_sq_sel_k5(int M, bool c_fp32, bool residual) {
+#define SELM_(M_)                                                          \
+  if (c_fp32)                                                              \
+    return residual ? (void*)exl3_gemv_int8_sq_kernel<5, M_, true, true>   \
+                    : (void*)exl3_gemv_int8_sq_kernel<5, M_, true, false>; \
+  else                                                                     \
+    return residual ? (void*)exl3_gemv_int8_sq_kernel<5, M_, false, true>  \
+                    : (void*)exl3_gemv_int8_sq_kernel<5, M_, false, false>;
+  switch (M) {
+    case 1: {
+      SELM_(1)
+    }
+    case 2: {
+      SELM_(2)
+    }
+  }
+#undef SELM_
+  return nullptr;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k6.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k6.cu
new file mode 100644
index 0000000000..afb38d5d90
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_inst_sq_k6.cu
@@ -0,0 +1,22 @@
+#include "exl3_gemv_int8_instances.cuh"
+#include "../exl3_gemv_int8_kernel.cuh"
+
+void* exl3_gemv_int8_sq_sel_k6(int M, bool c_fp32, bool residual) {
+#define SELM_(M_)                                                          \
+  if (c_fp32)                                                              \
+    return residual ? (void*)exl3_gemv_int8_sq_kernel<6, M_, true, true>   \
+                    : (void*)exl3_gemv_int8_sq_kernel<6, M_, true, false>; \
+  else                                                                     \
+    return residual ? (void*)exl3_gemv_int8_sq_kernel<6, M_, false, true>  \
+                    : (void*)exl3_gemv_int8_sq_kernel<6, M_, false, false>;
+  switch (M) {
+    case 1: {
+      SELM_(1)
+    }
+    case 2: {
+      SELM_(2)
+    }
+  }
+#undef SELM_
+  return nullptr;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_instances.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_instances.cuh
new file mode 100644
index 0000000000..4650046788
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_gemv_int8_instances.cuh
@@ -0,0 +1,20 @@
+#pragma once
+
+// Per-K selectors for the int8 GEMV kernel instances, each defined in its own
+// compilation unit
+
+void* exl3_gemv_int8_sq_sel_k1(int M, bool c_fp32, bool residual);
+void* exl3_gemv_int8_sq_sel_k2(int M, bool c_fp32, bool residual);
+void* exl3_gemv_int8_sq_sel_k3(int M, bool c_fp32, bool residual);
+void* exl3_gemv_int8_sq_sel_k4(int M, bool c_fp32, bool residual);
+void* exl3_gemv_int8_sq_sel_k5(int M, bool c_fp32, bool residual);
+void* exl3_gemv_int8_sq_sel_k6(int M, bool c_fp32, bool residual);
+
+void* exl3_gemv_int8_coop_sel_k1(bool c_fp32, bool residual);
+void* exl3_gemv_int8_coop_sel_k2(bool c_fp32, bool residual);
+void* exl3_gemv_int8_coop_sel_k3(bool c_fp32, bool residual);
+void* exl3_gemv_int8_coop_sel_k4(bool c_fp32, bool residual);
+void* exl3_gemv_int8_coop_sel_k5(bool c_fp32, bool residual);
+void* exl3_gemv_int8_coop_sel_k6(bool c_fp32, bool residual);
+void* exl3_gemv_int8_coop_sel_k7(bool c_fp32, bool residual);
+void* exl3_gemv_int8_coop_sel_k8(bool c_fp32, bool residual);
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k0_n128_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k0_n128_cb1.cu
new file mode 100644
index 0000000000..d805f96b47
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k0_n128_cb1.cu
@@ -0,0 +1,6 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k0_n128_cb1() {
+  return exl3_moe_kernel<0, 128, 1>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k0_n128_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k0_n128_cb2.cu
new file mode 100644
index 0000000000..80c443133a
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k0_n128_cb2.cu
@@ -0,0 +1,6 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k0_n128_cb2() {
+  return exl3_moe_kernel<0, 128, 2>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k0_n256_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k0_n256_cb1.cu
new file mode 100644
index 0000000000..204b476349
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k0_n256_cb1.cu
@@ -0,0 +1,6 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k0_n256_cb1() {
+  return exl3_moe_kernel<0, 256, 1>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k0_n256_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k0_n256_cb2.cu
new file mode 100644
index 0000000000..c1763bf028
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k0_n256_cb2.cu
@@ -0,0 +1,6 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k0_n256_cb2() {
+  return exl3_moe_kernel<0, 256, 2>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k1_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k1_cb1.cu
new file mode 100644
index 0000000000..22fff213b1
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k1_cb1.cu
@@ -0,0 +1,9 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k1_n128_cb1() {
+  return exl3_moe_kernel<1, 128, 1>;
+}
+fp_exl3_moe_kernel exl3_moe_kernel_k1_n256_cb1() {
+  return exl3_moe_kernel<1, 256, 1>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k1_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k1_cb2.cu
new file mode 100644
index 0000000000..d48ca311cd
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k1_cb2.cu
@@ -0,0 +1,9 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k1_n128_cb2() {
+  return exl3_moe_kernel<1, 128, 2>;
+}
+fp_exl3_moe_kernel exl3_moe_kernel_k1_n256_cb2() {
+  return exl3_moe_kernel<1, 256, 2>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k2_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k2_cb1.cu
new file mode 100644
index 0000000000..c8518e0391
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k2_cb1.cu
@@ -0,0 +1,9 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k2_n128_cb1() {
+  return exl3_moe_kernel<2, 128, 1>;
+}
+fp_exl3_moe_kernel exl3_moe_kernel_k2_n256_cb1() {
+  return exl3_moe_kernel<2, 256, 1>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k2_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k2_cb2.cu
new file mode 100644
index 0000000000..1adb538f74
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k2_cb2.cu
@@ -0,0 +1,9 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k2_n128_cb2() {
+  return exl3_moe_kernel<2, 128, 2>;
+}
+fp_exl3_moe_kernel exl3_moe_kernel_k2_n256_cb2() {
+  return exl3_moe_kernel<2, 256, 2>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k3_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k3_cb1.cu
new file mode 100644
index 0000000000..6af9e92a2a
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k3_cb1.cu
@@ -0,0 +1,9 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k3_n128_cb1() {
+  return exl3_moe_kernel<3, 128, 1>;
+}
+fp_exl3_moe_kernel exl3_moe_kernel_k3_n256_cb1() {
+  return exl3_moe_kernel<3, 256, 1>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k3_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k3_cb2.cu
new file mode 100644
index 0000000000..fee9d60a9e
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k3_cb2.cu
@@ -0,0 +1,9 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k3_n128_cb2() {
+  return exl3_moe_kernel<3, 128, 2>;
+}
+fp_exl3_moe_kernel exl3_moe_kernel_k3_n256_cb2() {
+  return exl3_moe_kernel<3, 256, 2>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k4_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k4_cb1.cu
new file mode 100644
index 0000000000..972107bbc6
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k4_cb1.cu
@@ -0,0 +1,9 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k4_n128_cb1() {
+  return exl3_moe_kernel<4, 128, 1>;
+}
+fp_exl3_moe_kernel exl3_moe_kernel_k4_n256_cb1() {
+  return exl3_moe_kernel<4, 256, 1>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k4_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k4_cb2.cu
new file mode 100644
index 0000000000..fd34b3c4b2
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k4_cb2.cu
@@ -0,0 +1,9 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k4_n128_cb2() {
+  return exl3_moe_kernel<4, 128, 2>;
+}
+fp_exl3_moe_kernel exl3_moe_kernel_k4_n256_cb2() {
+  return exl3_moe_kernel<4, 256, 2>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k5_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k5_cb1.cu
new file mode 100644
index 0000000000..0206f8c0cf
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k5_cb1.cu
@@ -0,0 +1,9 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k5_n128_cb1() {
+  return exl3_moe_kernel<5, 128, 1>;
+}
+fp_exl3_moe_kernel exl3_moe_kernel_k5_n256_cb1() {
+  return exl3_moe_kernel<5, 256, 1>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k5_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k5_cb2.cu
new file mode 100644
index 0000000000..c07af97a5d
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k5_cb2.cu
@@ -0,0 +1,9 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k5_n128_cb2() {
+  return exl3_moe_kernel<5, 128, 2>;
+}
+fp_exl3_moe_kernel exl3_moe_kernel_k5_n256_cb2() {
+  return exl3_moe_kernel<5, 256, 2>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k6_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k6_cb1.cu
new file mode 100644
index 0000000000..0f59915d5e
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k6_cb1.cu
@@ -0,0 +1,9 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k6_n128_cb1() {
+  return exl3_moe_kernel<6, 128, 1>;
+}
+fp_exl3_moe_kernel exl3_moe_kernel_k6_n256_cb1() {
+  return exl3_moe_kernel<6, 256, 1>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k6_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k6_cb2.cu
new file mode 100644
index 0000000000..08f7f3c05d
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k6_cb2.cu
@@ -0,0 +1,9 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k6_n128_cb2() {
+  return exl3_moe_kernel<6, 128, 2>;
+}
+fp_exl3_moe_kernel exl3_moe_kernel_k6_n256_cb2() {
+  return exl3_moe_kernel<6, 256, 2>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k7_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k7_cb1.cu
new file mode 100644
index 0000000000..3db6847608
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k7_cb1.cu
@@ -0,0 +1,9 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k7_n128_cb1() {
+  return exl3_moe_kernel<7, 128, 1>;
+}
+fp_exl3_moe_kernel exl3_moe_kernel_k7_n256_cb1() {
+  return exl3_moe_kernel<7, 256, 1>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k7_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k7_cb2.cu
new file mode 100644
index 0000000000..332cbeb2d6
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k7_cb2.cu
@@ -0,0 +1,9 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k7_n128_cb2() {
+  return exl3_moe_kernel<7, 128, 2>;
+}
+fp_exl3_moe_kernel exl3_moe_kernel_k7_n256_cb2() {
+  return exl3_moe_kernel<7, 256, 2>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k8_cb1.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k8_cb1.cu
new file mode 100644
index 0000000000..838acd549e
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k8_cb1.cu
@@ -0,0 +1,9 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k8_n128_cb1() {
+  return exl3_moe_kernel<8, 128, 1>;
+}
+fp_exl3_moe_kernel exl3_moe_kernel_k8_n256_cb1() {
+  return exl3_moe_kernel<8, 256, 1>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k8_cb2.cu b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k8_cb2.cu
new file mode 100644
index 0000000000..c80e866ec2
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_inst_k8_cb2.cu
@@ -0,0 +1,9 @@
+#include "exl3_moe_instances.cuh"
+#include "../exl3_moe_kernel.cuh"
+
+fp_exl3_moe_kernel exl3_moe_kernel_k8_n128_cb2() {
+  return exl3_moe_kernel<8, 128, 2>;
+}
+fp_exl3_moe_kernel exl3_moe_kernel_k8_n256_cb2() {
+  return exl3_moe_kernel<8, 256, 2>;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_instances.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_instances.cuh
new file mode 100644
index 0000000000..6cdbfcf0ab
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/comp_units/exl3_moe_instances.cuh
@@ -0,0 +1,25 @@
+#pragma once
+
+#include "../exl3_moe_common.cuh"
+
+typedef void (*fp_exl3_moe_kernel)(EXL3_MOE_KERNEL_ARGS);
+
+#define EXL3_MOE_DECLARE_GETTERS(K)                     \
+  fp_exl3_moe_kernel exl3_moe_kernel_k##K##_n128_cb1(); \
+  fp_exl3_moe_kernel exl3_moe_kernel_k##K##_n256_cb1(); \
+  fp_exl3_moe_kernel exl3_moe_kernel_k##K##_n128_cb2(); \
+  fp_exl3_moe_kernel exl3_moe_kernel_k##K##_n256_cb2();
+
+EXL3_MOE_DECLARE_GETTERS(0);
+EXL3_MOE_DECLARE_GETTERS(1);
+EXL3_MOE_DECLARE_GETTERS(2);
+EXL3_MOE_DECLARE_GETTERS(3);
+EXL3_MOE_DECLARE_GETTERS(4);
+EXL3_MOE_DECLARE_GETTERS(5);
+EXL3_MOE_DECLARE_GETTERS(6);
+EXL3_MOE_DECLARE_GETTERS(7);
+EXL3_MOE_DECLARE_GETTERS(8);
+
+#undef EXL3_MOE_DECLARE_GETTERS
+
+extern fp_exl3_moe_kernel exl3_moe_kernel_instances[];
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/coop_autotune.cu b/csrc/quantization/exl3/exllamav3_ext/quant/coop_autotune.cu
new file mode 100644
index 0000000000..4054509bbc
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/coop_autotune.cu
@@ -0,0 +1,526 @@
+#include <cuda_fp16.h>
+#include "coop_autotune.cuh"
+
+#include <algorithm>
+#include <cstdlib>
+#include <cstring>
+#include <filesystem>
+#include <fstream>
+#include <map>
+#include <mutex>
+#include <numeric>
+#include <set>
+#include <vector>
+
+#include "../util.cuh"
+#include "../util.h"
+
+// #define CACHEDEBUG 1
+
+namespace {
+
+constexpr uint64_t COOP_AUTOTUNE_VERSION = 3;
+constexpr char DISK_CACHE_MAGIC[8] = {'E', 'X', '3', 'A', 'T', 'U', 'N', 'E'};
+constexpr uint32_t DISK_CACHE_FORMAT = 1;
+
+struct ExpandedCandidate {
+  void* kernel;
+  int block_dim;
+  int num_sms;
+  int concurrency;
+  int tag;
+  float latency;
+  std::vector<float> samples;
+};
+
+struct DiskCacheHeader {
+  char magic[8];
+  uint32_t format;
+  uint32_t record_size;
+};
+
+struct DiskCacheRecordV1 {
+  uint64_t hash;
+  int32_t tag;
+  int32_t block_dim;
+  int32_t num_sms;
+  int32_t concurrency;
+  uint32_t reserved0;
+  uint32_t reserved1;
+};
+
+std::map<uint64_t, CoopAutotuneLaunch> launch_cache;
+
+std::set<std::tuple<int, void*, size_t>> attr_set;
+
+std::mutex disk_mutex;
+bool disk_cache_loaded = false;
+std::map<uint64_t, DiskCacheRecordV1> disk_cache;
+
+uint64_t salt_hash(uint64_t hash) {
+  hash ^= COOP_AUTOTUNE_VERSION;
+  hash *= 1099511628211ull;
+  return hash;
+}
+
+std::filesystem::path disk_cache_path() {
+  const char* override_path = std::getenv("EXLLAMAV3_TUNE_CACHE");
+  if (override_path && override_path[0]) {
+    std::filesystem::path path = std::filesystem::path(override_path);
+    std::error_code ec;
+    if (std::filesystem::is_directory(path, ec))
+      return path / "coop_autotune_v1.bin";
+    return path;
+  }
+
+  std::filesystem::path base;
+#ifdef _WIN32
+  const char* local_app_data = std::getenv("LOCALAPPDATA");
+  if (local_app_data && local_app_data[0])
+    base = std::filesystem::path(local_app_data);
+  else {
+    const char* user_profile = std::getenv("USERPROFILE");
+    if (!user_profile || !user_profile[0]) return {};
+    std::filesystem::path user_path = std::filesystem::path(user_profile);
+    std::filesystem::path local_path = user_path / "AppData" / "Local";
+    std::error_code ec;
+    if (std::filesystem::exists(local_path, ec))
+      base = local_path;
+    else
+      base = user_path;
+  }
+
+  return base / "exllamav3" / "autotune" / "coop_autotune_v1.bin";
+#else
+  const char* xdg = std::getenv("XDG_CACHE_HOME");
+  if (xdg && xdg[0])
+    base = std::filesystem::path(xdg);
+  else {
+    const char* home = std::getenv("HOME");
+    if (!home || !home[0]) return {};
+    base = std::filesystem::path(home) / ".cache";
+  }
+
+  return base / "exllamav3" / "autotune" / "coop_autotune_v1.bin";
+#endif
+}
+
+bool read_disk_header(std::ifstream& in) {
+  DiskCacheHeader header;
+  in.read((char*)&header, sizeof(header));
+  if (!in) return false;
+  if (std::memcmp(header.magic, DISK_CACHE_MAGIC, sizeof(header.magic)) != 0)
+    return false;
+  if (header.format != DISK_CACHE_FORMAT) return false;
+  if (header.record_size < sizeof(DiskCacheRecordV1)) return false;
+  return true;
+}
+
+void load_disk_cache_locked() {
+  if (disk_cache_loaded) return;
+  disk_cache_loaded = true;
+
+  std::filesystem::path path = disk_cache_path();
+  if (path.empty() || !std::filesystem::exists(path)) return;
+
+  std::ifstream in(path, std::ios::binary);
+  if (!in || !read_disk_header(in)) return;
+
+  DiskCacheHeader header;
+  in.seekg(0, std::ios::beg);
+  in.read((char*)&header, sizeof(header));
+  if (!in) return;
+
+  std::vector<char> record_bytes(header.record_size);
+  while (in.read(record_bytes.data(), header.record_size)) {
+    DiskCacheRecordV1 record;
+    std::memcpy(&record, record_bytes.data(), sizeof(record));
+    disk_cache[record.hash] = record;
+  }
+
+#ifdef CACHEDEBUG
+  printf("coop_autotune cache loaded: path=%s records=%zu\n",
+         path.string().c_str(), disk_cache.size());
+#endif
+}
+
+void append_disk_cache_locked(const DiskCacheRecordV1& record) {
+  std::filesystem::path path = disk_cache_path();
+  if (path.empty()) return;
+
+  std::error_code ec;
+  std::filesystem::create_directories(path.parent_path(), ec);
+  if (ec) return;
+
+  bool write_header = !std::filesystem::exists(path) ||
+                      std::filesystem::file_size(path, ec) == 0;
+  std::ofstream out(path, std::ios::binary | std::ios::app);
+  if (!out) return;
+
+  if (write_header) {
+    DiskCacheHeader header;
+    std::memcpy(header.magic, DISK_CACHE_MAGIC, sizeof(header.magic));
+    header.format = DISK_CACHE_FORMAT;
+    header.record_size = sizeof(DiskCacheRecordV1);
+    out.write((const char*)&header, sizeof(header));
+  }
+
+  out.write((const char*)&record, sizeof(record));
+}
+
+bool launch_from_disk_cache(
+    uint64_t hash, const std::vector<CoopAutotuneCandidate>& candidates,
+    CoopAutotuneLaunch* launch_config) {
+  std::lock_guard<std::mutex> lock(disk_mutex);
+  load_disk_cache_locked();
+
+  auto lookup = disk_cache.find(hash);
+  if (lookup == disk_cache.end()) return false;
+
+  const DiskCacheRecordV1& record = lookup->second;
+#ifdef CACHEDEBUG
+  printf(
+      "coop_autotune cache lookup: hash=%016llx tag=%d block_dim=%d num_sms=%d "
+      "concurrency=%d\n",
+      (unsigned long long)record.hash, record.tag, record.block_dim,
+      record.num_sms, record.concurrency);
+#endif
+
+  for (const CoopAutotuneCandidate& candidate : candidates) {
+    if (candidate.tag != record.tag) continue;
+    if (candidate.block_dim != record.block_dim) continue;
+    if (record.num_sms < 1 || record.num_sms > candidate.max_num_sms) continue;
+
+    int max_concurrency = MAX(candidate.max_concurrency, 1);
+    int total_sms =
+        candidate.total_sms > 0 ? candidate.total_sms : candidate.max_num_sms;
+    int expected_concurrency =
+        MAX(MIN(total_sms / record.num_sms, max_concurrency), 1);
+    if (record.concurrency != expected_concurrency) continue;
+
+    *launch_config = {candidate.kernel, record.block_dim, record.num_sms,
+                      record.concurrency, record.tag};
+#ifdef CACHEDEBUG
+    printf(
+        "coop_autotune cache hit: hash=%016llx tag=%d block_dim=%d num_sms=%d "
+        "concurrency=%d\n",
+        (unsigned long long)record.hash, launch_config->tag,
+        launch_config->block_dim, launch_config->num_sms,
+        launch_config->concurrency);
+#endif
+    return true;
+  }
+
+#ifdef CACHEDEBUG
+  printf(
+      "coop_autotune cache rejected: hash=%016llx tag=%d block_dim=%d "
+      "num_sms=%d concurrency=%d\n",
+      (unsigned long long)record.hash, record.tag, record.block_dim,
+      record.num_sms, record.concurrency);
+#endif
+  return false;
+}
+
+void store_disk_cache(uint64_t hash, const CoopAutotuneLaunch& launch_config) {
+  DiskCacheRecordV1 record = {hash,
+                              launch_config.tag,
+                              launch_config.block_dim,
+                              launch_config.num_sms,
+                              launch_config.concurrency,
+                              0,
+                              0};
+
+  std::lock_guard<std::mutex> lock(disk_mutex);
+  load_disk_cache_locked();
+  disk_cache[hash] = record;
+  append_disk_cache_locked(record);
+
+#ifdef CACHEDEBUG
+  printf(
+      "coop_autotune cache store: hash=%016llx tag=%d block_dim=%d num_sms=%d "
+      "concurrency=%d\n",
+      (unsigned long long)record.hash, record.tag, record.block_dim,
+      record.num_sms, record.concurrency);
+#endif
+}
+
+void set_kernel_attr_once(void* kernel, size_t smem) {
+  int device;
+  cuda_check(cudaGetDevice(&device));
+
+  auto key = std::make_tuple(device, kernel, smem);
+  if (attr_set.find(key) != attr_set.end()) return;
+
+  cuda_check(cudaFuncSetAttribute(
+      kernel, cudaFuncAttributeMaxDynamicSharedMemorySize, (int)smem));
+  attr_set.insert(key);
+}
+
+std::mutex thrash_mutex;
+std::map<int, std::pair<void*, size_t>> thrash_buffers;
+
+// Candidates in one autotune session share the same input tensors, so
+// back-to-back timed launches keep each other's operands mutually warm in L2
+// regardless of production's actual scattered, per-token-random expert access
+// pattern.
+void thrash_l2(cudaStream_t stream) {
+  int device;
+  cuda_check(cudaGetDevice(&device));
+
+  void* buf;
+  size_t size;
+  {
+    std::lock_guard<std::mutex> lock(thrash_mutex);
+    auto it = thrash_buffers.find(device);
+    if (it == thrash_buffers.end()) {
+      int l2_bytes = 0;
+      cuda_check(
+          cudaDeviceGetAttribute(&l2_bytes, cudaDevAttrL2CacheSize, device));
+      // 2x the reported L2 capacity to reliably evict prior residents
+      // regardless of associativity/replacement-policy quirks; generous
+      // fallback if the query fails
+      size_t alloc_size =
+          (size_t)(l2_bytes > 0 ? l2_bytes : 64 * 1024 * 1024) * 2;
+      void* ptr;
+      cuda_check(cudaMalloc(&ptr, alloc_size));
+      thrash_buffers[device] = {ptr, alloc_size};
+      buf = ptr;
+      size = alloc_size;
+    } else {
+      buf = it->second.first;
+      size = it->second.second;
+    }
+  }
+  cuda_check(cudaMemsetAsync(buf, 0, size, stream));
+}
+
+float trimmed_mean(std::vector<float>& samples) {
+  TORCH_CHECK(!samples.empty(), "CoopKernelAutotuner: no timing samples");
+  std::sort(samples.begin(), samples.end());
+
+  size_t trim = samples.size() / 4;
+  size_t begin = trim;
+  size_t end = samples.size() - trim;
+  if (begin >= end) {
+    begin = 0;
+    end = samples.size();
+  }
+
+  double sum = 0.0;
+  for (size_t i = begin; i < end; ++i) sum += samples[i];
+  return (float)(sum / (double)(end - begin));
+}
+
+void measure_candidate_sample(ExpandedCandidate& candidate, void** kernel_args,
+                              size_t smem, cudaStream_t stream, int repeats,
+                              cudaEvent_t start, cudaEvent_t end) {
+  thrash_l2(stream);
+  cuda_check(cudaEventRecord(start, stream));
+  for (int i = 0; i < repeats; ++i) {
+    cuda_check(cudaLaunchCooperativeKernel(
+        candidate.kernel, dim3(candidate.num_sms, 1, candidate.concurrency),
+        candidate.block_dim, kernel_args, smem, stream));
+  }
+  cuda_check(cudaEventRecord(end, stream));
+  cuda_check(cudaEventSynchronize(end));
+
+  float ms = 0.0f;
+  cuda_check(cudaEventElapsedTime(&ms, start, end));
+  candidate.samples.push_back(ms / (float)repeats);
+}
+
+void keep_best(std::vector<ExpandedCandidate>& candidates, size_t limit) {
+  for (ExpandedCandidate& candidate : candidates)
+    candidate.latency = trimmed_mean(candidate.samples);
+
+  std::sort(candidates.begin(), candidates.end(),
+            [](const ExpandedCandidate& a, const ExpandedCandidate& b) {
+              return a.latency < b.latency;
+            });
+  if (candidates.size() > limit) candidates.resize(limit);
+}
+
+void measure_stage(std::vector<ExpandedCandidate>& candidates,
+                   void** kernel_args, size_t smem, cudaStream_t stream,
+                   int rounds, int repeats, size_t keep, cudaEvent_t start,
+                   cudaEvent_t end) {
+  TORCH_CHECK(!candidates.empty(),
+              "CoopKernelAutotuner: no candidates in stage");
+
+  for (ExpandedCandidate& candidate : candidates) {
+    candidate.samples.clear();
+    candidate.samples.reserve(rounds);
+    set_kernel_attr_once(candidate.kernel, smem);
+
+    // One untimed launch avoids first-use effects from contaminating the first
+    // measured round.
+    cuda_check(cudaLaunchCooperativeKernel(
+        candidate.kernel, dim3(candidate.num_sms, 1, candidate.concurrency),
+        candidate.block_dim, kernel_args, smem, stream));
+  }
+  cuda_check(cudaStreamSynchronize(stream));
+
+  std::vector<int> order(candidates.size());
+  std::iota(order.begin(), order.end(), 0);
+
+  for (int round = 0; round < rounds; ++round) {
+    size_t n = order.size();
+    size_t step = 2 * (size_t)round + 1;
+    while (std::gcd(step, n) != 1) step += 2;
+    size_t pos = ((uint64_t)round * 1103515245ull + 12345ull) % n;
+
+    for (size_t i = 0; i < n; ++i) {
+      measure_candidate_sample(candidates[order[pos]], kernel_args, smem,
+                               stream, repeats, start, end);
+      pos = (pos + step) % n;
+    }
+  }
+
+  keep_best(candidates, keep);
+}
+
+CoopAutotuneLaunch tune(
+    const std::vector<CoopAutotuneCandidate>& base_candidates,
+    void** kernel_args, size_t smem, cudaStream_t stream, size_t numel_B) {
+  std::vector<ExpandedCandidate> candidates;
+  for (const CoopAutotuneCandidate& base : base_candidates) {
+    int total_tiles = numel_B / base.block_dim / 16;
+    int min_num_sms = MAX(2, MIN(total_tiles / 32, base.max_num_sms) /
+                                 base.max_concurrency / 2 * 2);
+
+    TORCH_CHECK(base.kernel, "CoopKernelAutotuner: null kernel candidate");
+    TORCH_CHECK(base.block_dim > 0, "CoopKernelAutotuner: invalid block_dim");
+    TORCH_CHECK(base.max_num_sms > 0,
+                "CoopKernelAutotuner: invalid max_num_sms");
+    int max_concurrency = MAX(base.max_concurrency, 1);
+    int total_sms = base.total_sms > 0 ? base.total_sms : base.max_num_sms;
+
+    if (max_concurrency > 1 || base.max_num_sms == 1) {
+      int concurrency = MAX(MIN(total_sms, max_concurrency), 1);
+      candidates.push_back(
+          {base.kernel, base.block_dim, 1, concurrency, base.tag, 0.0f, {}});
+    }
+
+    for (int num_sms = min_num_sms; num_sms <= base.max_num_sms * 85 / 100;
+         num_sms += 2) {
+      int concurrency = MAX(MIN(total_sms / num_sms, max_concurrency), 1);
+      candidates.push_back({base.kernel,
+                            base.block_dim,
+                            num_sms,
+                            concurrency,
+                            base.tag,
+                            0.0f,
+                            {}});
+    }
+
+    if (base.max_num_sms > 1) {
+      int concurrency =
+          MAX(MIN(total_sms / base.max_num_sms, max_concurrency), 1);
+      candidates.push_back({base.kernel,
+                            base.block_dim,
+                            base.max_num_sms,
+                            concurrency,
+                            base.tag,
+                            0.0f,
+                            {}});
+    }
+  }
+  TORCH_CHECK(!candidates.empty(), "CoopKernelAutotuner: no candidates");
+
+  cudaEvent_t start;
+  cudaEvent_t end;
+  cuda_check(cudaEventCreate(&start));
+  cuda_check(cudaEventCreate(&end));
+
+  int repeats = 8;
+  if (numel_B > 1e6) repeats = 5;
+  if (numel_B > 1e7) repeats = 4;
+  if (numel_B > 1e8) repeats = 3;
+  if (numel_B > 2e8) repeats = 2;
+  int max_rounds = 32;
+  if (numel_B > 1e6) max_rounds = 12;
+  if (numel_B > 1e7) max_rounds = 8;
+  if (numel_B > 1e8) max_rounds = 5;
+  if (numel_B > 2e8) max_rounds = 2;
+  int max_cands = 7;
+  if (numel_B > 1e6) max_cands = 5;
+  if (numel_B > 1e7) max_cands = 4;
+  if (numel_B > 1e8) max_cands = 3;
+  if (numel_B > 2e8) max_cands = 2;
+
+  if (candidates.size() > 1 && max_cands > 4)
+    measure_stage(candidates, kernel_args, smem, stream, MIN(2, max_rounds),
+                  repeats, MIN(6, max_cands), start, end);
+  if (candidates.size() > 1 && max_cands > 1)
+    measure_stage(candidates, kernel_args, smem, stream, MIN(8, max_rounds),
+                  repeats, MIN(3, max_cands), start, end);
+  if (candidates.size() > 1)
+    measure_stage(candidates, kernel_args, smem, stream, MIN(14, max_rounds),
+                  repeats, 1, start, end);
+
+  cuda_check(cudaEventDestroy(start));
+  cuda_check(cudaEventDestroy(end));
+
+  const ExpandedCandidate& best = candidates[0];
+  return {best.kernel, best.block_dim, best.num_sms, best.concurrency,
+          best.tag};
+}
+
+}  // namespace
+
+bool CoopKernelAutotuner::launch_locked(uint64_t hash, void** kernel_args,
+                                        size_t smem, cudaStream_t stream,
+                                        CoopAutotuneLaunch* out_launch_config) {
+  CoopAutotuneLaunch launch_config;
+  hash = salt_hash(hash);
+
+  {
+    auto lookup = launch_cache.find(hash);
+    if (lookup == launch_cache.end()) return false;
+    launch_config = lookup->second;
+  }
+
+  set_kernel_attr_once(launch_config.kernel, smem);
+  cuda_check(cudaLaunchCooperativeKernel(
+      launch_config.kernel,
+      dim3(launch_config.num_sms, 1, launch_config.concurrency),
+      launch_config.block_dim, kernel_args, smem, stream));
+
+  if (out_launch_config) *out_launch_config = launch_config;
+  return true;
+}
+
+CoopAutotuneLaunch CoopKernelAutotuner::launch(
+    uint64_t hash, const std::vector<CoopAutotuneCandidate>& candidates,
+    void** kernel_args, size_t smem, cudaStream_t stream, size_t numel_B) {
+  CoopAutotuneLaunch launch_config;
+  uint64_t salted_hash = salt_hash(hash);
+
+  if (launch_locked(hash, kernel_args, smem, stream, &launch_config))
+    return launch_config;
+
+  if (launch_from_disk_cache(salted_hash, candidates, &launch_config)) {
+    launch_cache[salted_hash] = launch_config;
+    set_kernel_attr_once(launch_config.kernel, smem);
+    cuda_check(cudaLaunchCooperativeKernel(
+        launch_config.kernel,
+        dim3(launch_config.num_sms, 1, launch_config.concurrency),
+        launch_config.block_dim, kernel_args, smem, stream));
+    return launch_config;
+  }
+
+  {
+    launch_config = tune(candidates, kernel_args, smem, stream, numel_B);
+    auto inserted = launch_cache.emplace(salted_hash, launch_config);
+    launch_config = inserted.first->second;
+  }
+  store_disk_cache(salted_hash, launch_config);
+
+  set_kernel_attr_once(launch_config.kernel, smem);
+  cuda_check(cudaLaunchCooperativeKernel(
+      launch_config.kernel,
+      dim3(launch_config.num_sms, 1, launch_config.concurrency),
+      launch_config.block_dim, kernel_args, smem, stream));
+
+  return launch_config;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/coop_autotune.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/coop_autotune.cuh
new file mode 100644
index 0000000000..1d7cc50b79
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/coop_autotune.cuh
@@ -0,0 +1,34 @@
+#pragma once
+
+#include <cuda_runtime.h>
+#include <cstdint>
+#include <vector>
+
+struct CoopAutotuneCandidate {
+  void* kernel;
+  int block_dim;
+  int max_num_sms;
+  int max_concurrency;
+  int total_sms;
+  int tag;
+};
+
+struct CoopAutotuneLaunch {
+  void* kernel;
+  int block_dim;
+  int num_sms;
+  int concurrency;
+  int tag;
+};
+
+class CoopKernelAutotuner {
+ public:
+  static bool launch_locked(uint64_t hash, void** kernel_args, size_t smem,
+                            cudaStream_t stream,
+                            CoopAutotuneLaunch* launch_config = nullptr);
+
+  static CoopAutotuneLaunch launch(
+      uint64_t hash, const std::vector<CoopAutotuneCandidate>& candidates,
+      void** kernel_args, size_t smem, cudaStream_t stream,
+      size_t numel_B = 1e9);
+};
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_devctx.cu b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_devctx.cu
index 4583c36a0c..70303343c0 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_devctx.cu
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_devctx.cu
@@ -58,7 +58,8 @@ int* DevCtx::get_locks(int device) {
   std::lock_guard<std::mutex> lock(mtx);
   if (!locks[device]) {
     cudaSetDevice(device);
-    size_t size = (MAX_TILES_C + MAX_BARRIERS * 2) * sizeof(int);
+    size_t size =
+        (MAX_TILES_C + MAX_BARRIERS * 2 + MOE_SCHED_INTS) * sizeof(int);
     cudaMalloc(&locks[device], size);
     cudaMemset(locks[device], 0, size);
   }
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_devctx.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_devctx.cuh
index f76c0e670a..497ace5a1e 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_devctx.cuh
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_devctx.cuh
@@ -9,16 +9,22 @@
 #define MAX_BARRIERS 1024
 #define BARRIER_LOCKS_OFFSET MAX_TILES_C
 
+// MoE expert scheduler state, after the barrier counters: [0] next ticket, [1]
+// retired groups, [2 + group] ticket published to group. Self-resetting,
+// zero-initialized with the rest of the buffer
+#define MOE_MAX_GROUPS 64
+#define MOE_SCHED_OFFSET (MAX_TILES_C + 2 * MAX_BARRIERS)
+#define MOE_SCHED_INTS (2 + MOE_MAX_GROUPS)
+
 // Workspace size
 #define WORKSPACE_SIZE (16 * 1024 * 1024)
 
-// Treat hopper and blackwell as same arch for now
 #define MAX_DEVICES 16
 #define CC_OLD 1
 #define CC_AMPERE 2
 #define CC_ADA 3
 #define CC_HOPPER 4
-#define CC_BLACKWELL 4
+#define CC_BLACKWELL 5
 
 // Singleton to manage context for each device. Stores device attributes and a
 // large-enough lock buffer per device
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemm.cu b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemm.cu
index bf89230ca7..1911d615e1 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemm.cu
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemm.cu
@@ -9,13 +9,14 @@ namespace cg = cooperative_groups;
 #include "exl3_kernel_map.cuh"
 #include "exl3_devctx.cuh"
 #include "exl3_gemv.cuh"
+#include "exl3_gemv_int8.cuh"
+#include "coop_autotune.cuh"
 #include <set>
-
-#define NEW_TUNE_GEMM
-#define NEW_TUNE_MGEMM
+#include <vector>
 
 int exl3_gemm_tilesize_k_g[] = {EXL3_GEMM_TILESIZE_K};
 int exl3_gemm_tilesize_n_g[] = {EXL3_GEMM_TILESIZE_N};
+int exl3_gemm_blockdim_g[] = {EXL3_GEMM_BLOCKDIM};
 
 /*
 EXL3 matmul, A @ B -> C
@@ -36,6 +37,52 @@ limitations:
 
 std::set<void*> kernel_attr_set[MAX_DEVICES] = {};
 
+uint64_t roundup_pow2(uint64_t x) {
+  if (x == 0) return 1;
+  x--;
+  x |= x >> 1;
+  x |= x >> 2;
+  x |= x >> 4;
+  x |= x >> 8;
+  x |= x >> 16;
+  x |= x >> 32;
+  return x + 1;
+}
+
+uint64_t gemm_autotune_hash(int size_m, int size_k, int size_n, int K,
+                            bool c_fp32, int device, int cc, int max_num_sms,
+                            int cb) {
+  uint64_t h = 1469598103934665603ull;
+  auto mix = [&](uint64_t v) {
+    h ^= v;
+    h *= 1099511628211ull;
+  };
+  mix((uint64_t)MIN(roundup_pow2(size_m), 16));
+  mix((uint64_t)size_k);
+  mix((uint64_t)size_n);
+  mix((uint64_t)K);
+  mix(c_fp32 ? 1ull : 0ull);
+  mix((uint64_t)device);
+  mix((uint64_t)cc);
+  mix((uint64_t)max_num_sms);
+  mix((uint64_t)cb);
+  return h;
+}
+
+uint64_t mgemm_autotune_hash(int size_m, int size_k, int size_n, int K,
+                             bool c_fp32, int device, int cc, int max_num_sms,
+                             int cb, int bszm_in, int bszm_out) {
+  uint64_t h = gemm_autotune_hash(size_m, size_k, size_n, K, c_fp32, device, cc,
+                                  max_num_sms, cb);
+  auto mix = [&](uint64_t v) {
+    h ^= v;
+    h *= 1099511628211ull;
+  };
+  mix((uint64_t)bszm_in);
+  mix((uint64_t)bszm_out);
+  return h;
+}
+
 int exl3_gemm_gr(const at::Tensor& A, const at::Tensor& B, at::Tensor& C,
                  const c10::optional<at::Tensor>& suh,
                  const c10::optional<at::Tensor>& A_had,
@@ -96,25 +143,96 @@ int exl3_gemm_gr(const at::Tensor& A, const at::Tensor& B, at::Tensor& C,
   if (mcg) cb = 1;
   if (mul1) cb = 2;
 
+  // Experimental fused int8-activation GEMV path (EXL3_INT8_GEMV=1) for mul1
+  // tensors. Rows are processed as successive GEMV launches, so this is only
+  // sensible for small m (the reconstruct threshold keeps m <= 144 in
+  // practice). Not graph-capturable yet; graphed callers fall through to the
+  // regular kernel.
+  if (mul1 && exl3_gemv_int8_enabled()) {
+    if (exl3_gemv_int8(A, B, C, suh, A_had, svh, stream, graph)) return 0;
+  }
+
   int block_dim;
   int shape_idx;
   fp_exl3_gemm_kernel kernel;
 
-#ifndef NEW_TUNE_GEMM
+  void* kernelArgs[] = {(void*)&A_ptr,  (void*)&B_ptr,   (void*)&C_ptr,
+                        (void*)&size_m, (void*)&size_k,  (void*)&size_n,
+                        (void*)&locks,  (void*)&suh_ptr, (void*)&A_had_ptr,
+                        (void*)&svh_ptr};
+
+  auto add_graph_args = [&](void* kernel_ptr) {
+    if (graph) {
+      graph->record_param(kernel_ptr, GP_gemm_A, 0);
+      graph->record_param(kernel_ptr, GP_gemm_B_trellis, 1);
+      graph->record_param(kernel_ptr, GP_gemm_C, 2);
+      graph->record_param(kernel_ptr, GP_gemm_B_suh, 7);
+      graph->record_param(kernel_ptr, GP_gemm_A_had, 8);
+      graph->record_param(kernel_ptr, GP_gemm_B_svh, 9);
+      graph->record_param(kernel_ptr, GP_end, 0);
+    }
+  };
+
+  // QTIP-style GEMV path for small m (exl3_gemv_kernel.cuh). Same kernel
+  // arguments, so graph recording is identical; falls through to the regular
+  // kernel when the heuristic declines
+  if (force_shape_idx <= 0 && force_num_sms <= 0) {
+    void* gemv_kernel = nullptr;
+    if (exl3_gemv_try_launch(kernelArgs, size_m, size_k, size_n, K, cb, c_fp32,
+                             suh_ptr && A_had_ptr && svh_ptr, device, stream,
+                             &gemv_kernel, false)) {
+      add_graph_args(gemv_kernel);
+      cuda_check(cudaPeekAtLastError());
+      return 90;
+    }
+  }
+
+  bool autotune = force_shape_idx <= 0 && force_num_sms <= 0;
+  if (autotune) {
+    uint64_t autotune_key = gemm_autotune_hash(
+        MAX(size_m, 2), size_k, size_n, K, c_fp32, device, cc, num_sms, cb);
+    CoopAutotuneLaunch tuned;
+    if (CoopKernelAutotuner::launch_locked(autotune_key, kernelArgs, SMEM_MAX,
+                                           stream, &tuned)) {
+      add_graph_args((void*)tuned.kernel);
+      cuda_check(cudaPeekAtLastError());
+      return tuned.tag;
+    }
+    std::vector<CoopAutotuneCandidate> candidates;
+    for (int candidate_shape_idx = 1;
+         candidate_shape_idx <= EXL3_GEMM_NUM_SHAPES; ++candidate_shape_idx) {
+      if (!exl3_gemm_shape_compat(candidate_shape_idx, size_m, size_k, size_n,
+                                  K))
+        continue;
+
+      fp_exl3_gemm_kernel candidate_kernel =
+          get_gemm_kernel_ptr(K, candidate_shape_idx, c_fp32, cb);
+      if (!candidate_kernel) continue;
+
+      int tilesize_k = exl3_gemm_tilesize_k_g[candidate_shape_idx];
+      int tilesize_n = exl3_gemm_tilesize_n_g[candidate_shape_idx];
+      int max_slices = MAX(size_k / tilesize_k * size_n / tilesize_n, 1);
+      int max_candidate_sms = MAX(MIN(max_slices, num_sms), 1);
+
+      candidates.push_back(
+          {(void*)candidate_kernel, exl3_gemm_blockdim_g[candidate_shape_idx],
+           max_candidate_sms, 1, max_candidate_sms, candidate_shape_idx});
+    }
+    TORCH_CHECK(!candidates.empty(),
+                "exl3_gemm autotune: no compatible kernel shapes");
+
+    tuned =
+        CoopKernelAutotuner::launch(autotune_key, candidates, kernelArgs,
+                                    SMEM_MAX, stream, (size_t)size_k * size_n);
+    if (graph) add_graph_args((void*)tuned.kernel);
+    cuda_check(cudaPeekAtLastError());
+    return tuned.tag;
+  }
+
   kernel = select_exl3_gemm_kernel(cc, size_m, size_k, size_n, K, c_fp32,
                                    force_shape_idx, &block_dim, &shape_idx,
                                    &num_sms, cb);
   if (!kernel) return 0;
-#else
-  TResult* tr =
-      select_exl3_gemm_mgemm_kernel_new(cc, size_m, size_k, size_n, K, c_fp32,
-                                        force_shape_idx, force_num_sms, cb);
-  if (!tr) return 0;
-  num_sms = MIN(num_sms, tr->num_sms);
-  kernel = tr->kernel;
-  block_dim = tr->block_dim;
-  shape_idx = tr->shape_idx;
-#endif
 
   // Launch
   if (kernel_attr_set[device].find((void*)kernel) ==
@@ -124,20 +242,9 @@ int exl3_gemm_gr(const at::Tensor& A, const at::Tensor& B, at::Tensor& C,
     kernel_attr_set[device].insert((void*)kernel);
     cuda_check(cudaPeekAtLastError());
   }
-  void* kernelArgs[] = {(void*)&A_ptr,  (void*)&B_ptr,   (void*)&C_ptr,
-                        (void*)&size_m, (void*)&size_k,  (void*)&size_n,
-                        (void*)&locks,  (void*)&suh_ptr, (void*)&A_had_ptr,
-                        (void*)&svh_ptr};
   cudaLaunchCooperativeKernel((void*)kernel, num_sms, block_dim, kernelArgs,
                               SMEM_MAX, stream);
-
-  if (graph) graph->record_param((void*)kernel, GP_gemm_A, 0);
-  if (graph) graph->record_param((void*)kernel, GP_gemm_B_trellis, 1);
-  if (graph) graph->record_param((void*)kernel, GP_gemm_C, 2);
-  if (graph) graph->record_param((void*)kernel, GP_gemm_B_suh, 7);
-  if (graph) graph->record_param((void*)kernel, GP_gemm_A_had, 8);
-  if (graph) graph->record_param((void*)kernel, GP_gemm_B_svh, 9);
-  if (graph) graph->record_param((void*)kernel, GP_end, 0);
+  add_graph_args((void*)kernel);
 
   cuda_check(cudaPeekAtLastError());
   return shape_idx;
@@ -153,20 +260,45 @@ int exl3_gemm(const at::Tensor& A, const at::Tensor& B, at::Tensor& C,
 }
 
 /*
-EXL3 multi matmul, A @ B -> C
-
-- A: row-major A tensor, shape (m, k), dtype float16, contiguous
-- B: EXL3-quantized B tensor, shape (k//16, n//16, 16*K), dtype uint16
-- C: empty row-major C tensor, shape (m, n), dtype float16 or float23,
-contiguous. Does not need to be zero-initialized
-- suh: optional, packed input scales/flips, shape (k//16), dtype float16
-- A_had: required if suh given, may be reference to A, temporary storage for
-input transform, size and dtype as A
-- svh: optional, packed output scales/flips, shape (n//16), dtype float16
-
-limitations:
-- k % 16 == 0
-- n % 128 == 0
+EXL3 batched/multi-matrix matmul.
+
+This is not a conventional batched A @ B. B, suh and svh are CUDA int64
+tensors containing device addresses (one address per quantized matrix), rather
+than the matrix data themselves. Entry q of each table describes one linear:
+
+    B[q]   -> EXL3 trellis, logically (k / 16, n / 16, 16 * K) uint16
+    suh[q] -> packed input scales/flips, logically (k / 16) float16
+    svh[q] -> packed output scales/flips, logically (n / 16) float16
+
+A is contiguous float16 [a_batches, m, k], C is contiguous float16 or
+float32 [c_batches, m, n], and A_had is float16 scratch with room for every
+active matrix. The kernel applies the input Hadamard transform into A_had,
+performs the selected EXL3 matmul, then applies the output transform.
+
+The active matrix/output slot j selects q = indices[j] when indices is given,
+or q = j otherwise. This supports the following modes:
+
+- Multiple inputs and outputs: A[j] @ B[q] -> C[j].
+- One input, multiple outputs: when a_batches == 1, A[0] is broadcast and
+  transformed separately for each selected B[q], producing C[j]. This is used
+  for e.g. fused gate/up projections and MoE expert fan-out.
+- Indexed matrices: indices is a contiguous int64 [*, num_indices] tensor;
+  the kernel reads its first num_indices entries as q values. Negative indices
+  skip that slot.
+- Weighted MoE reduction: weights is a float16 tensor parallel to indices.
+  Each transformed result is multiplied by weights[j], then all active C[j]
+  are summed into C[0]. C therefore also serves as per-expert scratch; only
+  C[0] is the reduced result.
+- Expert-range filtering: with min_index >= 0, selections outside
+  [min_index, max_index) are removed and retained indices are rebased by
+  min_index. This allows B/suh/svh to be local pointer tables for an expert
+  shard. Weights are compacted in the same order.
+
+Without weights, every active C[j] is a separate output. The active slot count
+is max(a_batches, c_batches), capped to num_indices when indices is present.
+
+Limitations: k must be divisible by 16 and n by 128. Range filtering supports
+at most 128 slots (the kernel's index-compaction capacity).
 */
 
 int exl3_mgemm_gr(const at::Tensor& A, const at::Tensor& B, at::Tensor& C,
@@ -175,12 +307,19 @@ int exl3_mgemm_gr(const at::Tensor& A, const at::Tensor& B, at::Tensor& C,
                   const c10::optional<at::Tensor>& indices,
                   const c10::optional<at::Tensor>& weights, int K,
                   int force_shape_idx, bool mcg, bool mul1, int min_index,
-                  int max_index, int force_num_sms, Graph* graph) {
+                  int max_index, int force_num_sms, Graph* graph,
+                  int num_tokens) {
   const torch::stable::accelerator::DeviceGuard device_guard(
       A.get_device_index());
   cudaStream_t stream = graph ? graph->capture_stream
                               : get_current_cuda_stream(A.get_device_index());
 
+  TORCH_CHECK(num_tokens == 1 || min_index < 0,
+              "exl3_mgemm: multi-token reduction (num_tokens > 1) is not "
+              "compatible with expert-range "
+              "filtering (min_index >= 0); TP-sharded experts must use "
+              "num_tokens == 1");
+
   TORCH_CHECK_DTYPE(A, kHalf);
   TORCH_CHECK_DTYPE(B, kLong);
   TORCH_CHECK_DTYPE(suh, kLong);
@@ -202,7 +341,7 @@ int exl3_mgemm_gr(const at::Tensor& A, const at::Tensor& B, at::Tensor& C,
   int bszm_out = C.size(0);
   int bszm = MAX(bszm_in, bszm_out);
 
-  const long* indices_ptr = (const long*)OPTPTR(indices);
+  const int64_t* indices_ptr = (const int64_t*)OPTPTR(indices);
   const half* weights_ptr = (const half*)OPTPTR(weights);
 
   if (indices) {
@@ -249,13 +388,74 @@ int exl3_mgemm_gr(const at::Tensor& A, const at::Tensor& B, at::Tensor& C,
   fp_exl3_mgemm_kernel kernel;
   int concurrency;
 
-#ifndef NEW_TUNE_MGEMM
-  kernel = select_exl3_mgemm_kernel(cc, size_m, size_k, size_n, K, c_fp32,
-                                    force_shape_idx, &block_dim, &shape_idx,
-                                    &num_sms, cb, bszm_in, bszm_out);
-  if (!kernel) return 0;
-  concurrency = MIN(total_sms / num_sms, bszm_out);
-#else
+  void* kernelArgs[] = {
+      (void*)&A_ptr,       (void*)&B_ptr_ptr,   (void*)&C_ptr,
+      (void*)&size_m,      (void*)&size_k,      (void*)&size_n,
+      (void*)&locks,       (void*)&suh_ptr_ptr, (void*)&A_had_ptr,
+      (void*)&svh_ptr_ptr, (void*)&indices_ptr, (void*)&weights_ptr,
+      (void*)&bszm_in,     (void*)&bszm_out,    (void*)&min_index,
+      (void*)&max_index,   (void*)&num_tokens};
+
+  auto add_graph_args = [&](void* kernel_ptr) {
+    if (graph) {
+      graph->record_param(kernel_ptr, GP_mgemm_A, 0);
+      graph->record_param(kernel_ptr, GP_mgemm_C, 2);
+      graph->record_param(kernel_ptr, GP_mgemm_indices, 10);
+      graph->record_param(kernel_ptr, GP_mgemm_weights, 11);
+      graph->record_param(kernel_ptr, GP_end, 0);
+    }
+  };
+
+  bool autotune = force_shape_idx <= 0 && force_num_sms <= 0;
+  if (autotune) {
+    uint64_t autotune_key =
+        mgemm_autotune_hash(size_m, size_k, size_n, K, c_fp32, device, cc,
+                            total_sms, cb, bszm_in, bszm_out);
+
+    CoopAutotuneLaunch tuned;
+    if (CoopKernelAutotuner::launch_locked(autotune_key, kernelArgs, SMEM_MAX,
+                                           stream, &tuned)) {
+      add_graph_args((void*)tuned.kernel);
+      cuda_check(cudaPeekAtLastError());
+      return tuned.tag;
+    }
+    if (!graph) {
+      std::vector<CoopAutotuneCandidate> candidates;
+      for (int candidate_shape_idx = 1;
+           candidate_shape_idx <= EXL3_GEMM_NUM_SHAPES; ++candidate_shape_idx) {
+        if (!exl3_gemm_shape_compat(candidate_shape_idx, size_m, size_k, size_n,
+                                    K))
+          continue;
+
+        fp_exl3_mgemm_kernel candidate_kernel =
+            get_mgemm_kernel_ptr(K, candidate_shape_idx, c_fp32, cb);
+        if (!candidate_kernel) continue;
+
+        int tilesize_k = exl3_gemm_tilesize_k_g[candidate_shape_idx];
+        int tilesize_n = exl3_gemm_tilesize_n_g[candidate_shape_idx];
+        int max_slices = MAX(size_k / tilesize_k * size_n / tilesize_n, 1);
+        int max_candidate_sms = MAX(MIN(max_slices, total_sms), 1);
+
+        candidates.push_back(
+            {(void*)candidate_kernel, exl3_gemm_blockdim_g[candidate_shape_idx],
+             max_candidate_sms, bszm, total_sms, candidate_shape_idx});
+      }
+      TORCH_CHECK(!candidates.empty(),
+                  "exl3_mgemm autotune: no compatible kernel shapes");
+
+      tuned = CoopKernelAutotuner::launch(autotune_key, candidates, kernelArgs,
+                                          SMEM_MAX, stream,
+                                          (size_t)size_k * size_n * bszm);
+      add_graph_args((void*)tuned.kernel);
+
+      // DBGI10(size_m, size_k, size_n, K, bszm_in, bszm_out, tuned.tag,
+      // tuned.block_dim, tuned.num_sms, tuned.concurrency);
+
+      cuda_check(cudaPeekAtLastError());
+      return tuned.tag;
+    }
+  }
+
   kernel = select_exl3_mgemm_kernel(cc, size_m, size_k, size_n, K, c_fp32,
                                     force_shape_idx, &block_dim, &shape_idx,
                                     &num_sms, cb, bszm_in, bszm_out);
@@ -267,7 +467,9 @@ int exl3_mgemm_gr(const at::Tensor& A, const at::Tensor& B, at::Tensor& C,
   if (num_sms <= total_sms && tiles / num_sms > 48)
     num_sms = MIN(total_sms, num_sms * 2);
   concurrency = MIN(total_sms / num_sms, bszm);
-#endif
+
+  // DBGI10(size_m, size_k, size_n, K, bszm_in, bszm_out, shape_idx, block_dim,
+  // num_sms, concurrency);
 
   // Launch bigger grid if possible
   dim3 block_grid(num_sms, 1, concurrency);
@@ -279,22 +481,10 @@ int exl3_mgemm_gr(const at::Tensor& A, const at::Tensor& B, at::Tensor& C,
                          SMEM_MAX);
     kernel_attr_set[device].insert((void*)kernel);
   }
-  void* kernelArgs[] = {
-      (void*)&A_ptr,       (void*)&B_ptr_ptr,   (void*)&C_ptr,
-      (void*)&size_m,      (void*)&size_k,      (void*)&size_n,
-      (void*)&locks,       (void*)&suh_ptr_ptr, (void*)&A_had_ptr,
-      (void*)&svh_ptr_ptr, (void*)&indices_ptr, (void*)&weights_ptr,
-      (void*)&bszm_in,     (void*)&bszm_out,    (void*)&min_index,
-      (void*)&max_index};
 
   cudaLaunchCooperativeKernel((void*)kernel, block_grid, block_dim, kernelArgs,
                               SMEM_MAX, stream);
-
-  if (graph) graph->record_param((void*)kernel, GP_mgemm_A, 0);
-  if (graph) graph->record_param((void*)kernel, GP_mgemm_C, 2);
-  if (graph) graph->record_param((void*)kernel, GP_mgemm_indices, 10);
-  if (graph) graph->record_param((void*)kernel, GP_mgemm_weights, 11);
-  if (graph) graph->record_param((void*)kernel, GP_end, 0);
+  add_graph_args((void*)kernel);
 
   cuda_check(cudaPeekAtLastError());
   return shape_idx;
@@ -305,8 +495,9 @@ int exl3_mgemm(const at::Tensor& A, const at::Tensor& B, at::Tensor& C,
                const at::Tensor& svh, const c10::optional<at::Tensor>& indices,
                const c10::optional<at::Tensor>& weights, int K,
                int force_shape_idx, uint32_t mcg_mult, uint32_t mul1_mult,
-               int min_index, int max_index, int force_num_sms) {
+               int min_index, int max_index, int force_num_sms,
+               int num_tokens) {
   return exl3_mgemm_gr(A, B, C, suh, A_had, svh, indices, weights, K,
                        force_shape_idx, mcg_mult, mul1_mult, min_index,
-                       max_index, force_num_sms, nullptr);
+                       max_index, force_num_sms, nullptr, num_tokens);
 }
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemm.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemm.cuh
index f702f0a567..4b5909b057 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemm.cuh
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemm.cuh
@@ -21,11 +21,13 @@ int exl3_mgemm_gr(const at::Tensor& A, const at::Tensor& B, at::Tensor& C,
                   const c10::optional<at::Tensor>& indices,
                   const c10::optional<at::Tensor>& weights, int K,
                   int force_shape_idx, bool mcg, bool mul1, int min_index,
-                  int max_index, int force_num_sms, Graph* graph);
+                  int max_index, int force_num_sms, Graph* graph,
+                  int num_tokens = 1);
 
 int exl3_mgemm(const at::Tensor& A, const at::Tensor& B, at::Tensor& C,
                const at::Tensor& suh, const at::Tensor& A_had,
                const at::Tensor& svh, const c10::optional<at::Tensor>& indices,
                const c10::optional<at::Tensor>& weights, int K,
                int force_shape_idx, uint32_t mcg_mult, uint32_t mul1_mult,
-               int min_index, int max_index, int force_num_sms);
+               int min_index, int max_index, int force_num_sms,
+               int num_tokens = 1);
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemm_inner.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemm_inner.cuh
index 535d2d525a..225a82e66d 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemm_inner.cuh
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemm_inner.cuh
@@ -8,21 +8,36 @@
 
 #include "exl3_dq.cuh"
 
-template <EXL3_GEMM_T_ARGS>
+// On GA10x, HMMA with fp32 accumulation runs at half rate and dominates the m=1
+// (decode-bound) case. Accumulate MMA results in fp16 instead and fold into the
+// fp32 accumulators once per k-slice: ~14% faster at bsz 1 on RTX 3090 together
+// with the codebook.cuh IMUL change (see benchmarks/exl3_m1_bench). Max
+// observed error vs fp32 accumulation is ~1% of output RMS at k=4096, well
+// below quantization noise. Only enabled for sm_86 for now; unvalidated on
+// other archs where fp32-acc HMMA is also half rate.
+#if defined(__CUDA_ARCH__) && (__CUDA_ARCH__ == 860)
+  #define EXL3_GEMM_H_ACC 1
+#else
+  #define EXL3_GEMM_H_ACC 0
+#endif
+
+template <EXL3_GEMM_T_ARGS, bool shmem_out_had>
 inline __device__ void exl3_gemm_kernel_inner(
     const half* __restrict__ A, const uint16_t* __restrict__ B,
     void* __restrict__ C, const int size_m, const int size_k, const int size_n,
-    int* __restrict__ locks) {
+    int* __restrict__ locks, const half* post_scale) {
   const int TILEBLOCKS_M = TILESIZE_M / 16;
   const int TILEBLOCKS_K = TILESIZE_K / 16;
   const int TILEBLOCKS_N = TILESIZE_N / 16;
-  const int FRAGS_M = TILEBLOCKS_M;
+  // const int FRAGS_M = TILEBLOCKS_M;
   const int FRAGS_N_PER_WARP = 2 * TILEBLOCKS_N / (EXL3_GEMM_BASE_THREADS / 32);
 
   const int sh_a_stage_size = TILESIZE_M * TILESIZE_K;  // in halfs
   const int sh_b_stage_size =
       TILEBLOCKS_K * TILEBLOCKS_N * 256 / 16 * bits;  // in uint16s
-  const int sh_c_size = 4 * EXL3_GEMM_BASE_THREADS;   // in floats
+  const int sh_c_size = MAX                           // in floats
+      (4 * EXL3_GEMM_BASE_THREADS * FRAGS_N_PER_WARP,
+       shmem_out_had ? TILESIZE_N * TILESIZE_M : 0);
 
   // XOR-swizzle constants for bank-conflict-free A fragment loads
   // col_swizzled = col ^ ((row >> SHIFT) & MASK)
@@ -32,7 +47,8 @@ inline __device__ void exl3_gemm_kernel_inner(
 
   // Sanity checks
   static_assert(EXL3_GEMM_BASE_THREADS == 256);
-  static_assert(TILESIZE_M % 16 == 0, "Invalid kernel params");
+  static_assert(TILESIZE_M == 16,
+                "Invalid kernel params");  // strictly assume size_m <= 16
   static_assert(TILESIZE_K % 16 == 0, "Invalid kernel params");
   static_assert(TILESIZE_N % 128 == 0, "Invalid kernel params");
   static_assert(
@@ -72,8 +88,9 @@ inline __device__ void exl3_gemm_kernel_inner(
   auto index_n = [&](int slice_i) { return (slice_i / tiles_k); };
 
   // Batch dimension
-  int slice_m = index_m(slice_beg);
-  int max_m = MIN(size_m - slice_m * TILESIZE_M, TILESIZE_M);
+  // int slice_m = index_m(slice_beg);
+  // int max_m = MIN(size_m - slice_m * TILESIZE_M, TILESIZE_M);
+  const int slice_m = 0;
 
   // Pipe 0, global A, B tile and shared A, B tile
   int slice0_k = index_k(slice_beg);
@@ -96,7 +113,7 @@ inline __device__ void exl3_gemm_kernel_inner(
     int m = (i * EXL3_GEMM_BASE_THREADS + t) / (gl_a_stride_k / 8);
     load_a_gl[i] = m * size_k / 8 + k;
     load_a_sh[i] = m * A_COLS + (k ^ ((m >> A_SWIZZLE_SHIFT) & A_SWIZZLE_MASK));
-    pred_a_gl[i] = m < max_m;
+    pred_a_gl[i] = m < size_m;
   }
 
   int gl_b_stride_k = blocks_n * TILEBLOCKS_K * 256 / 16 * bits;
@@ -172,9 +189,12 @@ inline __device__ void exl3_gemm_kernel_inner(
   float* gl_c_ptr_32 =
       ((float*)C) + slice_m * gl_c_stride_m + slice2_n * gl_c_stride_n;
 
-  register FragA frag_a[FRAG_STAGES][FRAGS_M];
+  register FragA frag_a[FRAG_STAGES];
   register FragB frag_b[FRAG_STAGES][FRAGS_N_PER_WARP];
-  register FragC frag_c[FRAGS_M][FRAGS_N_PER_WARP];
+  register FragC frag_c[FRAGS_N_PER_WARP];
+#if EXL3_GEMM_H_ACC
+  register FragC_h frag_c_h[FRAGS_N_PER_WARP];
+#endif
 
   auto advance2 = [&]() {
     slice2_k++;
@@ -244,7 +264,7 @@ inline __device__ void exl3_gemm_kernel_inner(
       for (int m = 0; m < TILEBLOCKS_M; ++m) {
         int R = r + m * 16;
         int c_swizzled = base_c ^ ((R >> A_SWIZZLE_SHIFT) & A_SWIZZLE_MASK);
-        ldsm4(frag_a[buf][m], (int4*)sh1_a_ptr + R * A_COLS + c_swizzled);
+        ldsm4(frag_a[buf], (int4*)sh1_a_ptr + R * A_COLS + c_swizzled);
       }
     }
 
@@ -267,64 +287,213 @@ inline __device__ void exl3_gemm_kernel_inner(
   // Clear C fragments
   auto clear_frag_c = [&]() {
 #pragma unroll
-    for (int m = 0; m < FRAGS_M; ++m)
-#pragma unroll
-      for (int n = 0; n < FRAGS_N_PER_WARP; ++n) frag_c[m][n] = {};
+    for (int n = 0; n < FRAGS_N_PER_WARP; ++n) frag_c[n] = {};
+#if EXL3_GEMM_H_ACC
+  #pragma unroll
+    for (int n = 0; n < FRAGS_N_PER_WARP; ++n) frag_c_h[n] = {};
+#endif
   };
 
   // Threadblock reduction
   auto threadblock_reduce = [&]() {
-    auto store = [&](int i, int m, int n) {
-      // TODO: Shuffle to avoid bank conflicts here? Doesn't seem to be a
-      // bottleneck
+    auto store = [&](int i) {
       if (sub_k == i) {
         float* sh_red = sh_c + (FRAGS_N_PER_WARP * 4) * t;
-        if (size_m <= 8) {
 #pragma unroll
-          for (int i = 0; i < 2; ++i) *sh_red++ = frag_c[m][n][i];
-        } else {
+        for (int n = 0; n < FRAGS_N_PER_WARP; ++n) {
 #pragma unroll
-          for (int i = 0; i < 4; ++i) *sh_red++ = frag_c[m][n][i];
+          for (int j = 0; j < 4; ++j) *sh_red++ = frag_c[n][j];
         }
       }
       __syncthreads();
     };
 
-    auto add = [&](int i, int m, int n) {
+    auto add = [&](int i) {
       if (sub_k == i) {
         float* sh_red = sh_c + (FRAGS_N_PER_WARP * 4) * t;
-        if (size_m <= 8) {
 #pragma unroll
-          for (int i = 0; i < 2; ++i) frag_c[m][n][i] += *sh_red++;
-        } else {
+        for (int n = 0; n < FRAGS_N_PER_WARP; ++n) {
 #pragma unroll
-          for (int i = 0; i < 4; ++i) frag_c[m][n][i] += *sh_red++;
+          for (int j = 0; j < 4; ++j) frag_c[n][j] += *sh_red++;
+        }
+      }
+    };
+
+    auto store_small = [&](int i) {
+      if (sub_k == i && lane_id / 4 < size_m) {
+        float* sh_red = sh_c + (FRAGS_N_PER_WARP * 4) * t;
+#pragma unroll
+        for (int n = 0; n < FRAGS_N_PER_WARP; ++n) {
+          *sh_red++ = frag_c[n][0];
+          *sh_red++ = frag_c[n][1];
         }
       }
       __syncthreads();
     };
 
+    auto add_small = [&](int i) {
+      if (sub_k == i && lane_id / 4 < size_m) {
+        float* sh_red = sh_c + (FRAGS_N_PER_WARP * 4) * t;
 #pragma unroll
-    for (int m = 0; m < FRAGS_M; ++m) {
+        for (int n = 0; n < FRAGS_N_PER_WARP; ++n) {
+          frag_c[n][0] += *sh_red++;
+          frag_c[n][1] += *sh_red++;
+        }
+      }
+    };
+
+    if (size_m <= 8) {
+      if constexpr (TILEBLOCKS_K == 2) {
+        store_small(1);
+        add_small(0);
+      }
+      if constexpr (TILEBLOCKS_K == 3) {
+        store_small(1);
+        add_small(0);
+        store_small(2);
+        add_small(0);
+      }
+      if constexpr (TILEBLOCKS_K == 4) {
+        store_small(3);
+        add_small(2);
+        store_small(1);
+        add_small(0);
+        store_small(2);
+        add_small(0);
+      }
+    } else {
+      if constexpr (TILEBLOCKS_K == 2) {
+        store(1);
+        add(0);
+      }
+      if constexpr (TILEBLOCKS_K == 3) {
+        store(1);
+        add(0);
+        store(2);
+        add(0);
+      }
+      if constexpr (TILEBLOCKS_K == 4) {
+        store(3);
+        add(2);
+        store(1);
+        add(0);
+        store(2);
+        add(0);
+      }
+    }
+  };
+
+  // Pre-hadamard: Write final output tile to shmem
+  auto write_sum_tile_sh = [&]() {
+    const int n0 = warp_id * FRAGS_N_PER_WARP;
+    const int r0 = lane_id / 4;
+    const int r1 = r0 + 8;
+    if (r0 < size_m) {
+      const int c = (lane_id % 4) * 2;
+#pragma unroll
+      for (int n = 0; n < FRAGS_N_PER_WARP; ++n) {
+        float* c_ptr = ((float*)sh_c) + r0 * TILESIZE_N + (n0 + n) * 8 + c;
+        *c_ptr++ = frag_c[n][0];
+        *c_ptr++ = frag_c[n][1];
+      }
+    }
+    if (r1 < size_m) {
+      const int c = (lane_id % 4) * 2;
 #pragma unroll
       for (int n = 0; n < FRAGS_N_PER_WARP; ++n) {
-        if constexpr (TILEBLOCKS_K == 2) {
-          store(1, m, n);
-          add(0, m, n);
+        float* c_ptr = ((float*)sh_c) + r1 * TILESIZE_N + (n0 + n) * 8 + c;
+        *c_ptr++ = frag_c[n][2];
+        *c_ptr++ = frag_c[n][3];
+      }
+    }
+  };
+
+  // Copy output tile to global with hadamard transform and out scale
+  auto output_had_sh_gl = [&]() {
+    int sh_warp = warp_id;
+    constexpr int active_warps = EXL3_GEMM_BASE_THREADS / 32;
+    for (;; sh_warp += active_warps) {
+      int col = sh_warp % (TILESIZE_N / 128);
+      int row = sh_warp / (TILESIZE_N / 128);
+      if (row >= size_m) break;
+
+      const float* had_in = sh_c + row * TILESIZE_N + col * 128;
+      const half* post_scale_c =
+          post_scale + slice2_n * gl_c_stride_n + col * 128;
+
+      if constexpr (c_fp32) {
+        float* had_out = gl_c_ptr_32 + row * size_n + col * 128;
+        had_ff_r_128_inner<false, true>(had_in, had_out, post_scale_c,
+                                        0.088388347648f);
+      } else {
+        half* had_out = gl_c_ptr_16 + row * size_n + col * 128;
+        had_fh_r_128_inner<false, true>(had_in, had_out, post_scale_c,
+                                        0.088388347648f);
+      }
+    }
+  };
+
+  auto read_sum_gl = [&]() {
+    int n0 = warp_id * FRAGS_N_PER_WARP;
+#pragma unroll
+    for (int n = 0; n < FRAGS_N_PER_WARP; ++n) {
+      int r0 = lane_id / 4;
+      int r1 = r0 + 8;
+      int c = (lane_id % 4) * 2;
+      if (r0 < size_m) {
+        if constexpr (c_fp32) {
+          float* c_ptr = gl_c_ptr_32 + r0 * size_n + (n0 + n) * 8 + c;
+          frag_c[n][0] += *c_ptr++;
+          frag_c[n][1] += *c_ptr++;
+        } else {
+          half2* c_ptr = (half2*)(gl_c_ptr_16 + r0 * size_n + (n0 + n) * 8 + c);
+          float2 interm = __half22float2(*c_ptr);
+          frag_c[n][0] += interm.x;
+          frag_c[n][1] += interm.y;
         }
-        if constexpr (TILEBLOCKS_K == 3) {
-          store(1, m, n);
-          add(0, m, n);
-          store(2, m, n);
-          add(0, m, n);
+      }
+      if (r1 < size_m) {
+        if constexpr (c_fp32) {
+          float* c_ptr = gl_c_ptr_32 + r1 * size_n + (n0 + n) * 8 + c;
+          frag_c[n][2] += *c_ptr++;
+          frag_c[n][3] += *c_ptr++;
+        } else {
+          half2* c_ptr = (half2*)(gl_c_ptr_16 + r1 * size_n + (n0 + n) * 8 + c);
+          float2 interm = __half22float2(*c_ptr);
+          frag_c[n][2] += interm.x;
+          frag_c[n][3] += interm.y;
+        }
+      }
+    }
+  };
+
+  auto write_sum_gl = [&]() {
+    int n0 = warp_id * FRAGS_N_PER_WARP;
+#pragma unroll
+    for (int n = 0; n < FRAGS_N_PER_WARP; ++n) {
+      int r0 = lane_id / 4;
+      int r1 = r0 + 8;
+      int c = (lane_id % 4) * 2;
+      if (r0 < size_m) {
+        if constexpr (c_fp32) {
+          float* c_ptr = gl_c_ptr_32 + r0 * size_n + (n0 + n) * 8 + c;
+          *c_ptr++ = frag_c[n][0];
+          *c_ptr++ = frag_c[n][1];
+        } else {
+          half2* c_ptr = (half2*)(gl_c_ptr_16 + r0 * size_n + (n0 + n) * 8 + c);
+          half2 sum = __floats2half2_rn(frag_c[n][0], frag_c[n][1]);
+          *c_ptr = sum;
         }
-        if constexpr (TILEBLOCKS_K == 4) {
-          store(3, m, n);
-          add(2, m, n);
-          store(1, m, n);
-          add(0, m, n);
-          store(2, m, n);
-          add(0, m, n);
+      }
+      if (r1 < size_m) {
+        if constexpr (c_fp32) {
+          float* c_ptr = gl_c_ptr_32 + r1 * size_n + (n0 + n) * 8 + c;
+          *c_ptr++ = frag_c[n][2];
+          *c_ptr++ = frag_c[n][3];
+        } else {
+          half2* c_ptr = (half2*)(gl_c_ptr_16 + r1 * size_n + (n0 + n) * 8 + c);
+          half2 sum = __floats2half2_rn(frag_c[n][2], frag_c[n][3]);
+          *c_ptr = sum;
         }
       }
     }
@@ -332,6 +501,19 @@ inline __device__ void exl3_gemm_kernel_inner(
 
   // Output reduction
   auto reduce = [&]() {
+#if EXL3_GEMM_H_ACC
+  // Fold the fp16 MMA accumulators into the fp32 accumulators once per k-slice
+  #pragma unroll
+    for (int n = 0; n < FRAGS_N_PER_WARP; ++n) {
+      float2 f0 = __half22float2(frag_c_h[n][0]);
+      float2 f1 = __half22float2(frag_c_h[n][1]);
+      frag_c[n][0] += f0.x;
+      frag_c[n][1] += f0.y;
+      frag_c[n][2] += f1.x;
+      frag_c[n][3] += f1.y;
+    }
+#endif
+
     // First reduce all partial sums along k for the current slice
     threadblock_reduce();
 
@@ -347,121 +529,29 @@ inline __device__ void exl3_gemm_kernel_inner(
     bool first = lock_i == 0;
     bool last = lock_i + lock_d == tiles_k;
 
-    int n0 = warp_id * FRAGS_N_PER_WARP;
-
     // Second and subsequent threadblocks in column read back the intermediate
     // sum from global memory
     if (!sub_k && !first) {
-#pragma unroll
-      for (int n = 0; n < FRAGS_N_PER_WARP; ++n) {
-#pragma unroll
-        for (int m = 0; m < FRAGS_M; ++m) {
-          int r0 = lane_id / 4 + 16 * m;
-          int r1 = r0 + 8;
-          int c = (lane_id % 4) * 2;
-          if (r0 < max_m) {
-            if constexpr (c_fp32) {
-              float* c_ptr = gl_c_ptr_32 + r0 * size_n + (n0 + n) * 8 + c;
-              frag_c[m][n][0] += *c_ptr++;
-              frag_c[m][n][1] += *c_ptr++;
-            } else {
-              half2* c_ptr =
-                  (half2*)(gl_c_ptr_16 + r0 * size_n + (n0 + n) * 8 + c);
-              float2 interm = __half22float2(*c_ptr);
-              frag_c[m][n][0] += interm.x;
-              frag_c[m][n][1] += interm.y;
-            }
-          }
-          if (r1 < max_m) {
-            if constexpr (c_fp32) {
-              float* c_ptr = gl_c_ptr_32 + r1 * size_n + (n0 + n) * 8 + c;
-              frag_c[m][n][2] += *c_ptr++;
-              frag_c[m][n][3] += *c_ptr++;
-            } else {
-              half2* c_ptr =
-                  (half2*)(gl_c_ptr_16 + r1 * size_n + (n0 + n) * 8 + c);
-              float2 interm = __half22float2(*c_ptr);
-              frag_c[m][n][2] += interm.x;
-              frag_c[m][n][3] += interm.y;
-            }
-          }
-        }
-      }
+      read_sum_gl();
     }
 
     // All but last threadblock in column write the intermediate result to
     // global memory
     if (!sub_k && !last) {
-#pragma unroll
-      for (int n = 0; n < FRAGS_N_PER_WARP; ++n) {
-#pragma unroll
-        for (int m = 0; m < FRAGS_M; ++m) {
-          int r0 = lane_id / 4 + 16 * m;
-          int r1 = r0 + 8;
-          int c = (lane_id % 4) * 2;
-          if (r0 < max_m) {
-            if constexpr (c_fp32) {
-              float* c_ptr = gl_c_ptr_32 + r0 * size_n + (n0 + n) * 8 + c;
-              *c_ptr++ = frag_c[m][n][0];
-              *c_ptr++ = frag_c[m][n][1];
-            } else {
-              half2* c_ptr =
-                  (half2*)(gl_c_ptr_16 + r0 * size_n + (n0 + n) * 8 + c);
-              half2 sum = __floats2half2_rn(frag_c[m][n][0], frag_c[m][n][1]);
-              *c_ptr = sum;
-            }
-          }
-          if (r1 < max_m) {
-            if constexpr (c_fp32) {
-              float* c_ptr = gl_c_ptr_32 + r1 * size_n + (n0 + n) * 8 + c;
-              *c_ptr++ = frag_c[m][n][2];
-              *c_ptr++ = frag_c[m][n][3];
-            } else {
-              half2* c_ptr =
-                  (half2*)(gl_c_ptr_16 + r1 * size_n + (n0 + n) * 8 + c);
-              half2 sum = __floats2half2_rn(frag_c[m][n][2], frag_c[m][n][3]);
-              *c_ptr = sum;
-            }
-          }
-        }
-      }
+      write_sum_gl();
     }
 
     // Last block writes in row-major format
     if (!sub_k && last) {
-#pragma unroll
-      for (int n = 0; n < FRAGS_N_PER_WARP; ++n) {
-#pragma unroll
-        for (int m = 0; m < FRAGS_M; ++m) {
-          int r0 = lane_id / 4 + 16 * m;
-          int r1 = r0 + 8;
-          int c = (lane_id % 4) * 2;
-          if (r0 < max_m) {
-            if constexpr (c_fp32) {
-              float* c_ptr = gl_c_ptr_32 + r0 * size_n + (n0 + n) * 8 + c;
-              *c_ptr++ = frag_c[m][n][0];
-              *c_ptr++ = frag_c[m][n][1];
-            } else {
-              half2* c_ptr =
-                  (half2*)(gl_c_ptr_16 + r0 * size_n + (n0 + n) * 8 + c);
-              half2 sum = __floats2half2_rn(frag_c[m][n][0], frag_c[m][n][1]);
-              *c_ptr = sum;
-            }
-          }
-          if (r1 < max_m) {
-            if constexpr (c_fp32) {
-              float* c_ptr = gl_c_ptr_32 + r1 * size_n + (n0 + n) * 8 + c;
-              *c_ptr++ = frag_c[m][n][2];
-              *c_ptr++ = frag_c[m][n][3];
-            } else {
-              half2* c_ptr =
-                  (half2*)(gl_c_ptr_16 + r1 * size_n + (n0 + n) * 8 + c);
-              half2 sum = __floats2half2_rn(frag_c[m][n][2], frag_c[m][n][3]);
-              *c_ptr = sum;
-            }
-          }
-        }
-      }
+      if constexpr (shmem_out_had)
+        write_sum_tile_sh();
+      else
+        write_sum_gl();
+    }
+
+    if constexpr (shmem_out_had) {
+      if (last) __syncthreads();
+      if (!sub_k && last) output_had_sh_gl();
     }
 
     barrier_release(lock, lock_d, last);
@@ -479,10 +569,13 @@ inline __device__ void exl3_gemm_kernel_inner(
   // Perform tensor core matmul on current tile
   auto matmul = [&](int buf) {
 #pragma unroll
-    for (int m = 0; m < FRAGS_M; ++m)
-#pragma unroll
-      for (int n = 0; n < FRAGS_N_PER_WARP; ++n)
-        ptx_mma_m16n8k16(frag_a[buf][m], frag_b[buf][n], frag_c[m][n]);
+    for (int n = 0; n < FRAGS_N_PER_WARP; ++n) {
+#if EXL3_GEMM_H_ACC
+      ptx_mma_m16n8k16(frag_a[buf], frag_b[buf][n], frag_c_h[n]);
+#else
+      ptx_mma_m16n8k16(frag_a[buf], frag_b[buf][n], frag_c[n]);
+#endif
+    }
   };
 
 // Start global to shared pipeline
@@ -499,7 +592,7 @@ inline __device__ void exl3_gemm_kernel_inner(
   // two different iterations of the main loop to avoid confusing the compiler
   // and making it (sometimes) place the fragment arrays in local memory
 
-#define FSTAGE(_load, _mul)                           \
+#define FSTAGE_OLD(_load, _mul)                       \
   async_load_gl();                                    \
   wait_stage();                                       \
   load_frags(_load);                                  \
@@ -511,9 +604,21 @@ inline __device__ void exl3_gemm_kernel_inner(
   advance2();                                         \
   if (!slice2_iters) break;
 
+#define FSTAGE(_load, _mul)                           \
+  async_load_gl();                                    \
+  wait_stage();                                       \
+  matmul(_mul);                                       \
+  if (slice2_k == tiles_k - 1 || slice2_iters == 1) { \
+    reduce();                                         \
+    slice2_k0 = slice2_k + 1;                         \
+  }                                                   \
+  advance2();                                         \
+  if (!slice2_iters) break;                           \
+  load_frags(_load);
+
   if constexpr (FRAG_STAGES == 1) {
     while (true) {
-      FSTAGE(0, 0);
+      FSTAGE_OLD(0, 0);
     }
   }
 
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemm_kernel.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemm_kernel.cuh
index 5de366d592..7437e9d55b 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemm_kernel.cuh
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemm_kernel.cuh
@@ -3,21 +3,24 @@
 #include "exl3_kernel_map.cuh"
 #include "hadamard_inner.cuh"
 #include "exl3_gemm_inner.cuh"
+#include "exl3_devctx.cuh"
 
 template <EXL3_GEMM_T_ARGS>
 __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* TILESIZE_K /
                              16) void exl3_gemm_kernel(EXL3_GEMM_ARGS) {
   auto grid = cg::this_grid();
 
-  if (suh) {
+  // if (suh)
+  {
     int total_warps = size_m * size_k / 128;
     int warps_grid = gridDim.x * blockDim.x / 32;
     int this_warp = threadIdx.x / 32 + blockDim.x / 32 * blockIdx.x;
 
     for (; this_warp < total_warps; this_warp += warps_grid)
-      had_hf_r_128_inner(A + this_warp * 128, A_had + this_warp * 128,
-                         suh + (this_warp * 128) % size_k, nullptr,
-                         0.088388347648f  // 1/sqrt(128)
+      had_hf_r_128_inner<true, false>(A + this_warp * 128,
+                                      A_had + this_warp * 128,
+                                      suh + (this_warp * 128) % size_k,
+                                      0.088388347648f  // 1/sqrt(128)
       );
 
     grid.sync();
@@ -30,8 +33,8 @@ __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* TILESIZE_K /
 
   while (size_m_ > 0) {
     exl3_gemm_kernel_inner<bits, c_fp32, cb, TILESIZE_M, TILESIZE_K, TILESIZE_N,
-                           SH_STAGES, FRAG_STAGES>(A_, B, C_, size_m_, size_k,
-                                                   size_n, locks);
+                           SH_STAGES, FRAG_STAGES, true>(
+        A_, B, C_, MIN(size_m_, 16), size_k, size_n, locks, svh);
 
     A_ += 16 * size_k;
     if constexpr (c_fp32)
@@ -43,26 +46,34 @@ __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* TILESIZE_K /
     if (size_m_ > 0 || svh) grid.sync();
   }
 
-  if (svh) {
-    int total_warps = size_m * size_n / 128;
-    int warps_grid = gridDim.x * blockDim.x / 32;
-    int this_warp = threadIdx.x / 32 + blockDim.x / 32 * blockIdx.x;
+  // if (svh)
+  /*
+  {
+      int total_warps = size_m * size_n / 128;
+      int warps_grid = gridDim.x * blockDim.x / 32;
+      int this_warp = threadIdx.x / 32 + blockDim.x / 32 * blockIdx.x;
 
-    for (; this_warp < total_warps; this_warp += warps_grid) {
-      if constexpr (c_fp32)
-        had_ff_r_128_inner(((const float*)C) + this_warp * 128,
-                           ((float*)C) + this_warp * 128, nullptr,
-                           svh + (this_warp * 128) % size_n,
-                           0.088388347648f  // 1/sqrt(128)
-        );
-      else
-        had_hf_r_128_inner(((const half*)C) + this_warp * 128,
-                           ((half*)C) + this_warp * 128, nullptr,
-                           svh + (this_warp * 128) % size_n,
-                           0.088388347648f  // 1/sqrt(128)
-        );
-    }
+      for(; this_warp < total_warps; this_warp += warps_grid)
+      {
+          if constexpr (c_fp32)
+              had_ff_r_128_inner<false, true>
+              (
+                  ((const float*) C) + this_warp * 128,
+                  ((float*) C) + this_warp * 128,
+                  svh + (this_warp * 128) % size_n,
+                  0.088388347648f  // 1/sqrt(128)
+              );
+          else
+              had_hf_r_128_inner<false, true>
+              (
+                  ((const half*) C) + this_warp * 128,
+                  ((half*) C) + this_warp * 128,
+                  svh + (this_warp * 128) % size_n,
+                  0.088388347648f  // 1/sqrt(128)
+              );
+      }
   }
+   */
 }
 
 #define MAX_INDICES 128
@@ -77,6 +88,10 @@ __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* TILESIZE_K /
   int bszm = MAX(bszm_in, bszm_out);
   auto grid = cg::this_grid();
 
+#if defined(__CUDA_ARCH__) && (__CUDA_ARCH__ > 890)
+  int* barrier_counters_sense = locks + BARRIER_LOCKS_OFFSET;
+#endif
+
   // Pack indices within min_index <= idx < max_index
 
   if (min_index >= 0) {
@@ -128,12 +143,18 @@ __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* TILESIZE_K /
       half* A_had_ = A_had + j * size_m * size_k;
 
       for (; this_warp < total_warps; this_warp += warps_grid)
-        had_hf_r_128_inner(A_ + this_warp * 128, A_had_ + this_warp * 128,
-                           suh + (this_warp * 128) % size_k, nullptr,
-                           0.088388347648f  // 1/sqrt(128)
+        had_hf_r_128_inner<true, false>(A_ + this_warp * 128,
+                                        A_had_ + this_warp * 128,
+                                        suh + (this_warp * 128) % size_k,
+                                        0.088388347648f  // 1/sqrt(128)
         );
     }
+
+#if defined(__CUDA_ARCH__) && (__CUDA_ARCH__ > 890)
+    group_barrier(blockIdx.z, gridDim.x, barrier_counters_sense);
+#else
     grid.sync();
+#endif
 
     // Matmul
 
@@ -150,8 +171,9 @@ __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* TILESIZE_K /
         int lock_offs = blockIdx.z * size_n / 128;
 
         exl3_gemm_kernel_inner<bits, c_fp32, cb, TILESIZE_M, TILESIZE_K,
-                               TILESIZE_N, SH_STAGES, FRAG_STAGES>(
-            A_, B, C_, size_m_, size_k, size_n, locks + lock_offs);
+                               TILESIZE_N, SH_STAGES, FRAG_STAGES, false>(
+            A_, B, C_, MIN(size_m_, 16), size_k, size_n, locks + lock_offs,
+            nullptr);
       }
 
       A_ += 16 * size_k;
@@ -160,7 +182,12 @@ __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* TILESIZE_K /
       else
         C_ = (void*)(((half*)C_) + 16 * size_n);
       size_m_ -= 16;
+
+#if defined(__CUDA_ARCH__) && (__CUDA_ARCH__ > 890)
+      group_barrier(blockIdx.z, gridDim.x, barrier_counters_sense);
+#else
       grid.sync();
+#endif
     }
 
     // Had and output scales
@@ -181,45 +208,56 @@ __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* TILESIZE_K /
 
       for (; this_warp < total_warps; this_warp += warps_grid) {
         if constexpr (c_fp32)
-          had_ff_r_128_inner(((const float*)C_) + this_warp * 128,
-                             ((float*)C_) + this_warp * 128, nullptr,
-                             svh + (this_warp * 128) % size_n, scale);
+          had_ff_r_128_inner<false, true>(((const float*)C_) + this_warp * 128,
+                                          ((float*)C_) + this_warp * 128,
+                                          svh + (this_warp * 128) % size_n,
+                                          scale);
         else
-          had_hf_r_128_inner(((const half*)C_) + this_warp * 128,
-                             ((half*)C_) + this_warp * 128, nullptr,
-                             svh + (this_warp * 128) % size_n, scale);
+          had_hf_r_128_inner<false, true>(((const half*)C_) + this_warp * 128,
+                                          ((half*)C_) + this_warp * 128,
+                                          svh + (this_warp * 128) % size_n,
+                                          scale);
       }
     }
   }
 
   if (B_weights) grid.sync();
 
-  // Final reduction
+  // Final reduction: each of the num_tokens groups of (bszm / num_tokens)
+  // contiguous slots is summed into its own output row (row t for group t),
+  // instead of always collapsing into row 0. num_tokens == 1 (the legacy
+  // single-token case) reduces to exactly the original single-row behavior.
+  // Groups MUST be processed in increasing t order per column: row t is only
+  // ever read by group floor(t / stride), which is <= t, so it has already been
+  // fully read (and, if that group's index equals t, is only then correctly
+  // overwritten) by the time group t's own write happens.
   if (B_weights && blockIdx.z == 0) {
     int total_warps = size_m * size_n / 32;
     int warps_grid = gridDim.x * blockDim.x / 32;
     int this_warp = threadIdx.x / 32 + blockDim.x / 32 * blockIdx.x;
     int this_lane = threadIdx.x % 32;
+    int stride = bszm / num_tokens;
 
     for (; this_warp < total_warps; this_warp += warps_grid) {
-      if constexpr (c_fp32) {
-        float* C__ = ((float*)C) + this_warp * 32 + this_lane;
-        float* C___ = C__;
-        float sum = 0.0f;
-        for (int j = 0; j < bszm; ++j) {
-          sum += *C___;
-          C___ += size_m * size_n;
-        }
-        *C__ = sum;
-      } else {
-        half* C__ = ((half*)C) + this_warp * 32 + this_lane;
-        half* C___ = C__;
-        half sum = {};
-        for (int j = 0; j < bszm; ++j) {
-          sum = __hadd(sum, *C___);
-          C___ += size_m * size_n;
+      for (int t = 0; t < num_tokens; ++t) {
+        int col = this_warp * 32 + this_lane;
+        if constexpr (c_fp32) {
+          float* C___ = ((float*)C) + t * stride * size_m * size_n + col;
+          float sum = 0.0f;
+          for (int j = 0; j < stride; ++j) {
+            sum += *C___;
+            C___ += size_m * size_n;
+          }
+          ((float*)C)[t * size_m * size_n + col] = sum;
+        } else {
+          half* C___ = ((half*)C) + t * stride * size_m * size_n + col;
+          half sum = {};
+          for (int j = 0; j < stride; ++j) {
+            sum = __hadd(sum, *C___);
+            C___ += size_m * size_n;
+          }
+          ((half*)C)[t * size_m * size_n + col] = sum;
         }
-        *C__ = sum;
       }
     }
   }
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv.cu b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv.cu
index c10696dcc5..d04bf3747b 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv.cu
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv.cu
@@ -6,91 +6,219 @@ namespace cg = cooperative_groups;
 #include "../util.h"
 #include "../util.cuh"
 #include "exl3_gemv_kernel.cuh"
-#include "exl3_kernel_map.cuh"
 #include "exl3_devctx.cuh"
-#include "hadamard.cuh"
-// #include <set>
-
-#define K_SPLIT 1
+#include <map>
 
 /*
-EXL3 matmul, A @ B -> C
-
-- A: row-major A tensor, shape (m, k), dtype float16, contiguous
-- B: EXL3-quantized B tensor, shape (k//16, n//16, 16*bits), dtype uint16
-- C: empty row-major C tensor, shape (m, n), dtype float16 or float32,
-contiguous. Does not need to be zero-initialized
-- suh: optional, packed input scales/flips, shape (k//16), dtype float16
-- A_had: required if suh given, may be reference to A, temporary storage for
-input transform, size and dtype as A
-- svh: optional, packed output scales/flips, shape (n//16), dtype float16
-
-limitations:
-- k % 16 == 0
-- n % 128 == 0
+QTIP-style small-m GEMV path, kernel in exl3_gemv_kernel.cuh. Dispatched from
+exl3_gemm via exl3_gemv_try_launch when the shape heuristic applies, or forced
+through the exl3_gemv entry point. Kernel arguments and graph parameter offsets
+are identical to exl3_gemm_kernel.
+
+Env: EXL3_GEMV = 0 disables the path, 1/unset = heuristic (default), 2 = use
+wherever the hard constraints allow (testing).
+
+Heuristic envelope (measured, RTX 3090, 4 bpw, m <= 8, vs the tuned regular
+kernel): the narrow config wins 15-60% at attention-projection sizes (n <=
+4096), the wide config wins ~8% at large-n/small-k FFN sizes. Big-k x big-n
+shapes lose slightly and fall through to the regular kernel, as do other
+architectures (Ada/Blackwell are memory-bound here and keep the regular kernel),
+bpw != 4, and m > 8.
 */
 
-// std::set<void*> kernel_attr_set[MAX_DEVICES] = {};
+static int exl3_gemv_env_mode() {
+  const char* env = std::getenv("EXL3_GEMV");
+  if (!env) return 1;
+  return atoi(env);
+}
+
+// -1 = default per bits, 0 = force shuffle extraction, 1 = force smem staging
+// (testing)
+static int exl3_gemv_env_smem() {
+  const char* env = std::getenv("EXL3_GEMV_SMEM");
+  if (!env) return -1;
+  return atoi(env);
+}
+
+// -1: not eligible, 0: narrow config, 1: wide config. narrow_coresident =
+// number of narrow-config blocks that fit on the device at once (its grid is
+// one block per 32 output columns)
+static int exl3_gemv_cfg(int cc, int size_m, int size_k, int size_n, int K,
+                         int cb, int mode, int narrow_coresident) {
+  if (mode == 0) return -1;
+  if (K < 2 || K > 4) return -1;
+  if (K != 4 && cb == 0) return -1;
+  if (size_m > EXL3_GEMV_MAX_M) return -1;
+  if (size_k % 128 || size_n % 128) return -1;
+  // if (cc != CC_AMPERE) return -1;  // measured win on Ampere; Ada/Blackwell
+  // are memory-bound here
+  if (mode == 2) return size_n <= 8192 ? 0 : 1;
+  if (mode == 3) return 0;  // testing: force narrow config
+  if (mode == 4) return 1;  // testing: force wide config
+
+  // The narrow config wins (up to ~30%) whenever its grid fits in a single
+  // co-resident wave; in the 1..2-wave zone the trailing partial wave costs
+  // more than the kernel gains unless per-group work is small (small k). The
+  // wide config covers a band of large-n shapes with small-to-mid k. Everything
+  // else runs the regular block-pipelined kernel. Per-bits envelopes: 2 bpw is
+  // decode-bound and won at every measured shape on both archs; 3 bpw wins
+  // everywhere on Ada but only in the narrow envelope on Ampere
+  if (K == 2) return size_n <= 8192 ? 0 : 1;
+  if (K == 3 && cc == CC_ADA) return size_n <= 8192 ? 0 : 1;
+  if (size_n / 32 <= narrow_coresident) return 0;
+  if (size_k <= 2048 && size_n <= 8192) return 0;
+  if (K == 3) return -1;
+  if (size_n >= 8192 && size_k <= 4096) return 1;
+  if (size_n >= 8192 && size_n <= 10240 && size_k <= 5120 && cc == CC_AMPERE)
+    return 1;
+  return -1;
+}
+
+static void* exl3_gemv_select_kernel(int bits, int cb, bool c_fp32, int mmode,
+                                     int cfg, bool smem) {
+#define SEL(bits_, cb_, fp32_, mm_, cfg_, sm_)                         \
+  if (bits == bits_ && cb == cb_ && c_fp32 == fp32_ && mmode == mm_ && \
+      cfg == cfg_ && smem == sm_)                                      \
+    return (void*)exl3_gemv_kernel<bits_, fp32_, cb_, mm_, cfg_, sm_>;
+#define SEL_GRID(bits_, cb_, sm_)   \
+  SEL(bits_, cb_, false, 0, 0, sm_) \
+  SEL(bits_, cb_, false, 0, 1, sm_) \
+  SEL(bits_, cb_, false, 1, 0, sm_) \
+  SEL(bits_, cb_, false, 1, 1, sm_) \
+  SEL(bits_, cb_, true, 0, 0, sm_)  \
+  SEL(bits_, cb_, true, 0, 1, sm_)  \
+  SEL(bits_, cb_, true, 1, 0, sm_) SEL(bits_, cb_, true, 1, 1, sm_)
+  SEL_GRID(4, 0, false)
+  SEL_GRID(4, 1, false)
+  SEL_GRID(4, 2, false)
+  SEL_GRID(2, 1, false)
+  SEL_GRID(2, 2, false)
+  SEL_GRID(2, 1, true)
+  SEL_GRID(2, 2, true)
+  SEL_GRID(3, 1, false)
+  SEL_GRID(3, 2, false)
+  SEL_GRID(3, 1, true)
+  SEL_GRID(3, 2, true)
+#undef SEL_GRID
+#undef SEL
+  return nullptr;
+}
+
+bool exl3_gemv_try_launch(void** kernel_args, int size_m, int size_k,
+                          int size_n, int K, int cb, bool c_fp32,
+                          bool has_su_sv, int device, cudaStream_t stream,
+                          void** launched_kernel, bool force) {
+  // Free integer checks first; the env read (~64 ns) and device queries only
+  // run for calls that could actually take this path
+  if (!has_su_sv) return false;
+  if (K < 2 || K > 4) return false;
+  if (K != 4 && cb == 0) return false;
+  if (size_m > EXL3_GEMV_MAX_M) return false;
+  if (size_k % 128 || size_n % 128) return false;
+
+  int mode = force ? 2 : exl3_gemv_env_mode();
+  if (mode == 0) return false;
+  int cc = DevCtx::instance().get_cc(device);
+  // if (cc != CC_AMPERE) return false;
+  int mmode = size_m == 1 ? 0 : 1;
+  int num_sms = DevCtx::instance().get_num_sms(device);
+
+  // Cooperative launch: grids are capped at full co-residency (cached per
+  // kernel), and the narrow config's co-residency also feeds the shape
+  // heuristic
+  static std::map<void*, int> occ_cache[MAX_DEVICES];
+  auto& cache = occ_cache[device];
+  auto occupancy = [&](void* kernel, int block_dim) -> int {
+    auto it = cache.find(kernel);
+    if (it != cache.end()) return it->second;
+    int blocks_per_sm;
+    cuda_check(cudaOccupancyMaxActiveBlocksPerMultiprocessor(
+        &blocks_per_sm, kernel, block_dim, 0));
+    cache[kernel] = blocks_per_sm;
+    return blocks_per_sm;
+  };
+
+  // Extraction style: shuffle by default, smem staging selectable per call for
+  // evaluation
+  bool smem = exl3_gemv_env_smem() == 1;
+
+  void* narrow_kernel = exl3_gemv_select_kernel(K, cb, c_fp32, mmode, 0, smem);
+  if (!narrow_kernel) return false;
+  int narrow_coresident = occupancy(narrow_kernel, 512) * num_sms;
+
+  int cfg =
+      exl3_gemv_cfg(cc, size_m, size_k, size_n, K, cb, mode, narrow_coresident);
+  if (cfg < 0) return false;
+
+  void* kernel = cfg == 0
+                     ? narrow_kernel
+                     : exl3_gemv_select_kernel(K, cb, c_fp32, mmode, cfg, smem);
+  if (!kernel) return false;
+
+  int block_dim = cfg == 0 ? 512 : 256;
+  int cols = cfg == 0 ? 32 : 64;
+
+  int max_blocks = occupancy(kernel, block_dim) * num_sms;
+  int grid = MIN(size_n / cols, max_blocks);
+  if (grid < 1) return false;
+
+  cuda_check(cudaLaunchCooperativeKernel(kernel, dim3(grid), dim3(block_dim),
+                                         kernel_args, 0, stream));
+
+  if (launched_kernel) *launched_kernel = kernel;
+  return true;
+}
 
 void exl3_gemv(const at::Tensor& A, const at::Tensor& B, at::Tensor& C,
                const c10::optional<at::Tensor>& suh,
                const c10::optional<at::Tensor>& A_had,
                const c10::optional<at::Tensor>& svh, bool mcg, bool mul1) {
-  //    had_r_128(A, A_had.value(), suh, c10::nullopt, 1.0);
-
   const torch::stable::accelerator::DeviceGuard device_guard(
       A.get_device_index());
   cudaStream_t stream = get_current_cuda_stream(A.get_device_index());
 
   TORCH_CHECK_DIM(B, 3);
-  TORCH_CHECK_SHAPES(A, 1, B, 0, 16);
+  TORCH_CHECK_SHAPES(A, -1, B, 0, 16);
   TORCH_CHECK_SHAPES(C, -1, B, 1, 16);
   TORCH_CHECK_DTYPE(A, kHalf);
   TORCH_CHECK_DTYPE(B, kShort);
   bool c_fp32 = C.scalar_type() == at::kFloat;
   if (!c_fp32) TORCH_CHECK_DTYPE(C, kHalf);
-
-  int size_m = A.size(0);
-  int size_k = A.size(1);
+  TORCH_CHECK(!(mcg && mul1), "Specified both mcg and mul1")
+
+  const half* suh_ptr = (const half*)OPTPTR(suh);
+  half* A_had_ptr = (half*)OPTPTR(A_had);
+  const half* svh_ptr = (const half*)OPTPTR(svh);
+  TORCH_CHECK(suh_ptr && A_had_ptr && svh_ptr,
+              "exl3_gemv requires suh, A_had and svh");
+
+  int size_m = 1;
+  int dim = A.dim();
+  for (int d = 0; d < dim - 1; ++d) size_m *= A.size(d);
+  int size_k = A.size(-1);
   int size_n = B.size(1) * 16;
+  int K = B.size(2) / 16;
 
-  TORCH_CHECK(size_m <= 8, "size_m must be <= 8");
+  int cb = 0;
+  if (mcg) cb = 1;
+  if (mul1) cb = 2;
 
-  //    dim3 blocks(size_k / TILESIZE_K, size_n / TILESIZE_N);
-
-  //    dim3 blocks(1, size_n / TILESIZE_N, K_SPLIT);
-  dim3 blocks(1, size_n / TILESIZE_N, 1);
-  dim3 threads(32, 1, TILESIZE_K / 16);
-
-  //    int cb = 0;
-  //    if (mcg) cb = 1;
-  //    if (mul1) cb = 2;
+  int device;
+  cudaGetDevice(&device);
+  int* locks = DevCtx::instance().get_locks(device);
 
   const half* A_ptr = (const half*)A.data_ptr();
-  //    const half* A_ptr = (const half*) OPTPTR(A_had);
   const uint16_t* B_ptr = (const uint16_t*)B.data_ptr();
   void* C_ptr = (void*)C.data_ptr();
 
-  //    DBGI3(blocks.x, blocks.y, blocks.z);
-  //    DBGI3(threads.x, threads.y, threads.z);
-
-  if (!c_fp32) {
-    //        DBGI3(size_m, size_k, size_n);
-    exl3_gemv_kernel<4, false, 0, K_SPLIT><<<blocks, threads, 0, stream>>>(
-        A_ptr, B_ptr, C_ptr, size_m, size_k, size_n
-        //        (void*)& suh_ptr,
-        //        (void*)& A_had_ptr,
-        //        (void*)& svh_ptr,
-    );
-  } else {
-    //        DBGI3(size_m, size_k, size_n);
-    exl3_gemv_kernel<4, true, 0, K_SPLIT><<<blocks, threads, 0, stream>>>(
-        A_ptr, B_ptr, C_ptr, size_m, size_k, size_n
-        //        (void*)& suh_ptr,
-        //        (void*)& A_had_ptr,
-        //        (void*)& svh_ptr,
-    );
-  }
+  void* kernel_args[] = {(void*)&A_ptr,  (void*)&B_ptr,   (void*)&C_ptr,
+                         (void*)&size_m, (void*)&size_k,  (void*)&size_n,
+                         (void*)&locks,  (void*)&suh_ptr, (void*)&A_had_ptr,
+                         (void*)&svh_ptr};
+
+  bool ok = exl3_gemv_try_launch(kernel_args, size_m, size_k, size_n, K, cb,
+                                 c_fp32, true, device, stream, nullptr, true);
+  TORCH_CHECK(ok, "exl3_gemv: call is not eligible for the GEMV kernel");
 
   cuda_check(cudaPeekAtLastError());
 }
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv.cuh
index bb132e0c08..305166ece5 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv.cuh
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv.cuh
@@ -1,7 +1,23 @@
 #pragma once
 
 #include "../util.h"
+#include <cuda_runtime.h>
 
+// QTIP-style small-m GEMV path (see exl3_gemv_kernel.cuh). Launched from
+// exl3_gemm when the heuristic applies; also exposed directly for testing. Same
+// kernel arguments as exl3_gemm_kernel, so graph recording/patching is
+// identical.
+
+// Try to dispatch a GEMM call to the GEMV kernel. Returns false (launching
+// nothing) if the call is not eligible. On success *launched_kernel receives
+// the kernel pointer for graph recording. `force` bypasses the shape heuristic
+// but not the hard constraints.
+bool exl3_gemv_try_launch(void** kernel_args, int size_m, int size_k,
+                          int size_n, int K, int cb, bool c_fp32,
+                          bool has_su_sv, int device, cudaStream_t stream,
+                          void** launched_kernel, bool force);
+
+// Direct entry point (testing): errors if the call is not hard-eligible
 void exl3_gemv(const at::Tensor& A, const at::Tensor& B, at::Tensor& C,
                const c10::optional<at::Tensor>& suh,
                const c10::optional<at::Tensor>& A_had,
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv_int8.cu b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv_int8.cu
new file mode 100644
index 0000000000..5811951e51
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv_int8.cu
@@ -0,0 +1,349 @@
+#include <cuda_fp16.h>
+#include "exl3_gemv_int8.cuh"
+#include "exl3_gemv_int8_kernel.cuh"
+#include "comp_units/exl3_gemv_int8_instances.cuh"
+#include "../util.h"
+#include "../util.cuh"
+#include "../ptx.cuh"
+#include "exl3_dq.cuh"
+#include "exl3_devctx.cuh"
+#include "hadamard_inner.cuh"
+#include <cooperative_groups.h>
+#include <cstdlib>
+#include <set>
+#include <map>
+
+// Mode 0: disabled; 1: int8 + error-feedback residual pass (~15-16 bit
+// effective activation precision, KL at parity with fp16 or better); 2: plain
+// int8 (cheaper, ~0.9% output RMS deviation).
+static int _exl3_gemv_int8_mode = 0;
+bool _exl3_gemv_int8_mode_chk = false;
+
+static int exl3_gemv_int8_mode() {
+  if (_exl3_gemv_int8_mode_chk) return _exl3_gemv_int8_mode;
+  const char* e = getenv("EXL3_INT8_GEMV");
+  _exl3_gemv_int8_mode = e ? atoi(e) : 2;
+  return _exl3_gemv_int8_mode;
+}
+
+bool exl3_gemv_int8_enabled() { return exl3_gemv_int8_mode() != 0; }
+
+// Highest K the int8 path accepts; above it the regular kernel wins. The fp16
+// pipeline must be compute/latency-limited for the reduced per-weight work to
+// matter, and where that ends is per-arch. Ampere is DRAM-bound from K = 6 up
+// (3090: int8 -29/-22/-9/-6% at K=2/3/4/5, then -11..-26% on wide shapes at
+// K=6); Ada is marginal at K=6 (4090: -0..+7%, residual mode loses) and keeps
+// the conservative gate. Hopper's fp16 kernel is per-SM INT-throughput-bound at
+// K = 6 (H200, issue #242: +26/+57% per call, +16% e2e), and Blackwell measures
+// the same way (5090: +7..+19% at K=6 across shapes, fp16 kernel at only
+// ~65-78% of DRAM peak; K=7/8 are flat). EXL3_INT8_GEMV_MAX_K overrides the
+// per-arch default for testing on unmeasured parts (kernel instances exist up
+// to K = 8; at m == 1, K = 7..8 fall through to the cooperative kernel)
+int exl3_gemv_int8_max_k(int device) {
+  static const int env_max_k = [] {
+    const char* e = getenv("EXL3_INT8_GEMV_MAX_K");
+    return e ? atoi(e) : 0;
+  }();
+  if (env_max_k) return MIN(env_max_k, 8);
+  int cc = DevCtx::instance().get_cc(device);
+  return (cc == CC_HOPPER || cc == CC_BLACKWELL) ? 6 : 5;
+}
+
+struct GemvInt8Workspace {
+  int* ws = nullptr;
+  size_t ws_ints = 0;
+};
+
+static GemvInt8Workspace gemv_ws[MAX_DEVICES];
+static std::set<void*> gemv_attr_set[MAX_DEVICES];
+static std::map<std::pair<void*, size_t>, int> gemv_occ_cache[MAX_DEVICES];
+
+typedef void (*gemv_int8_coop_fn)(const half*, const uint16_t*, void*, int, int,
+                                  int, int*, const half*, half*, const half*);
+
+static void* select_gemv_int8_kernel(int K, bool c_fp32, bool residual) {
+  switch (K) {
+    case 1:
+      return exl3_gemv_int8_coop_sel_k1(c_fp32, residual);
+    case 2:
+      return exl3_gemv_int8_coop_sel_k2(c_fp32, residual);
+    case 3:
+      return exl3_gemv_int8_coop_sel_k3(c_fp32, residual);
+    case 4:
+      return exl3_gemv_int8_coop_sel_k4(c_fp32, residual);
+    case 5:
+      return exl3_gemv_int8_coop_sel_k5(c_fp32, residual);
+    case 6:
+      return exl3_gemv_int8_coop_sel_k6(c_fp32, residual);
+    case 7:
+      return exl3_gemv_int8_coop_sel_k7(c_fp32, residual);
+    case 8:
+      return exl3_gemv_int8_coop_sel_k8(c_fp32, residual);
+  }
+  return nullptr;
+}
+
+static void* select_gemv_int8_sq_kernel(int K, int M, bool c_fp32,
+                                        bool residual) {
+  switch (K) {
+    case 1:
+      return exl3_gemv_int8_sq_sel_k1(M, c_fp32, residual);
+    case 2:
+      return exl3_gemv_int8_sq_sel_k2(M, c_fp32, residual);
+    case 3:
+      return exl3_gemv_int8_sq_sel_k3(M, c_fp32, residual);
+    case 4:
+      return exl3_gemv_int8_sq_sel_k4(M, c_fp32, residual);
+    case 5:
+      return exl3_gemv_int8_sq_sel_k5(M, c_fp32, residual);
+    case 6:
+      return exl3_gemv_int8_sq_sel_k6(M, c_fp32, residual);
+  }
+  return nullptr;
+}
+
+// Fixed-size per-device workspace shared by the sq and coop paths, allocated
+// once and never reallocated: the pointer is baked as a kernel argument into
+// captured CUDA graphs, so growing the buffer would leave every previously
+// captured graph with a dangling workspace pointer (and let a reallocation
+// clobber the self-resetting completion counters at the start of the buffer).
+// Zeroed at allocation so the counters begin at zero. Callers must reject work
+// that exceeds the fixed size (returns nullptr) and fall through to a
+// non-workspace path.
+#define GEMV_INT8_WS_INTS (WORKSPACE_SIZE / sizeof(int))  // 16 MB
+static int* gemv_int8_get_ws(int device, size_t ws_ints) {
+  if (ws_ints > GEMV_INT8_WS_INTS) return nullptr;
+  GemvInt8Workspace& ws = gemv_ws[device];
+  if (!ws.ws) {
+    cuda_check(cudaMalloc(&ws.ws, GEMV_INT8_WS_INTS * sizeof(int)));
+    cuda_check(cudaMemset(ws.ws, 0, GEMV_INT8_WS_INTS * sizeof(int)));
+    ws.ws_ints = GEMV_INT8_WS_INTS;
+  }
+  return ws.ws;
+}
+
+// m == 1 fast path: per-slice-scale kernel, regular launch. Returns false to
+// fall through to the cooperative kernel (and from there to the regular fp16
+// kernel).
+static bool exl3_gemv_int8_sq(const half* A_ptr, const uint16_t* B_ptr,
+                              void* C_ptr, int size_m, int size_k, int size_n,
+                              int K, bool c_fp32, bool residual,
+                              const half* suh_ptr, half* A_had_ptr,
+                              const half* svh_ptr, int device, int num_sms,
+                              cudaStream_t stream, Graph* graph) {
+  if (size_m > 2) return false;
+  int M = size_m;
+  void* fn = select_gemv_int8_sq_kernel(K, M, c_fp32, residual);
+  if (!fn) return false;
+
+  int rows_max = gemv_int8_sq_rows_max(M, residual);
+
+  // Mirror of the kernel's work decomposition (single-wave rule with a
+  // half-wave floor)
+  auto decomp = [&](int grid_, int& ksplit, int& rows_per) {
+    int rows_total = size_k / 16;
+    int nb256 = size_n / 256;
+    int r = CEIL_DIVIDE(rows_total * nb256, grid_);
+    rows_per = (MAX(r, MIN(2 * r, 32)) + 7) & ~7;
+    rows_per = MAX(rows_per, SQ_MINROWS);
+    rows_per = MIN(rows_per, rows_max);
+    rows_per = MIN(rows_per, (rows_total + 7) & ~7);
+    ksplit = CEIL_DIVIDE(rows_total, rows_per);
+  };
+  auto smem_for = [&](int rows_per) -> size_t {
+    size_t stage =
+        gemv_int8_stage_smem(K) ? (size_t)8 * GEMV_STAGE_D * 16 * K * 4 : 0;
+    return (size_t)rows_per * 16 * 2 +
+           (size_t)rows_per * 16 * 4 * M * (residual ? 2 : 1) + stage +
+           (size_t)2 * M * 128 * 4;
+  };
+
+  if (gemv_attr_set[device].find(fn) == gemv_attr_set[device].end()) {
+    cudaFuncSetAttribute(fn, cudaFuncAttributeMaxDynamicSharedMemorySize,
+                         (int)smem_for(rows_max));
+    // Match the tensor-core kernels' shared-memory carveout: these kernels
+    // interleave with them (hundreds of launches per decoded token), and a
+    // smaller carveout would make the GPU drain and reconfigure the SMs on
+    // every transition - measured at ~4 us per launch in graph replay
+    cudaFuncSetAttribute(fn, cudaFuncAttributePreferredSharedMemoryCarveout,
+                         cudaSharedmemCarveoutMaxShared);
+    gemv_attr_set[device].insert(fn);
+    cuda_check(cudaPeekAtLastError());
+  }
+
+  int ksplit, rows_per;
+  decomp(6 * num_sms, ksplit, rows_per);
+  size_t smem_guess = smem_for(rows_per);
+  int maxb;
+  auto occ_key = std::make_pair(fn, smem_guess);
+  auto occ_it = gemv_occ_cache[device].find(occ_key);
+  if (occ_it != gemv_occ_cache[device].end())
+    maxb = occ_it->second;
+  else {
+    maxb = 1;
+    cudaOccupancyMaxActiveBlocksPerMultiprocessor(&maxb, fn, NUM_THREADS,
+                                                  smem_guess);
+    gemv_occ_cache[device][occ_key] = maxb;
+  }
+  int grid = MIN(MAX(maxb, 1) * num_sms, 1024);
+  decomp(grid, ksplit, rows_per);
+  size_t smem = smem_for(rows_per);
+  if (ksplit > SQ_KSPLIT_CAP) return false;
+  if (size_n / 256 > SQ_COUNTERS_CAP) return false;
+
+  int pstride = size_n * (residual ? 2 : 1);
+  int* ws_ptr =
+      gemv_int8_get_ws(device, SQ_WS_RESERVED + (size_t)ksplit * M * pstride);
+  if (!ws_ptr) return false;
+
+  void* kernelArgs[] = {(void*)&A_ptr,  (void*)&B_ptr,   (void*)&C_ptr,
+                        (void*)&size_m, (void*)&size_k,  (void*)&size_n,
+                        (void*)&ws_ptr, (void*)&suh_ptr, (void*)&A_had_ptr,
+                        (void*)&svh_ptr};
+
+  cudaError_t err = cudaLaunchKernel(fn, dim3(grid), dim3(NUM_THREADS),
+                                     kernelArgs, smem, stream);
+  if (graph) {
+    graph->record_param(fn, GP_gemm_A, 0);
+    graph->record_param(fn, GP_gemm_B_trellis, 1);
+    graph->record_param(fn, GP_gemm_C, 2);
+    graph->record_param(fn, GP_gemm_B_suh, 7);
+    graph->record_param(fn, GP_gemm_A_had, 8);
+    graph->record_param(fn, GP_gemm_B_svh, 9);
+    graph->record_param(fn, GP_end, 0);
+  }
+  if (err != cudaSuccess) {
+    cudaGetLastError();
+    return false;
+  }
+  return true;
+}
+
+bool exl3_gemv_int8(const at::Tensor& A, const at::Tensor& B, at::Tensor& C,
+                    const c10::optional<at::Tensor>& suh,
+                    const c10::optional<at::Tensor>& A_had,
+                    const c10::optional<at::Tensor>& svh, cudaStream_t stream,
+                    Graph* graph) {
+  if (!suh.has_value() || !A_had.has_value() || !svh.has_value()) return false;
+
+  int K = B.size(2) / 16;
+  int size_k = A.size(-1);
+  int size_n = B.size(1) * 16;
+  int size_m = A.numel() / size_k;
+  if (size_n % 256) return false;
+  if (size_k % 128) return false;
+
+  int device;
+  cudaGetDevice(&device);
+  if (K < 1 || K > exl3_gemv_int8_max_k(device)) return false;
+  int num_sms = DevCtx::instance().get_num_sms(device);
+  bool c_fp32 = C.scalar_type() == at::kFloat;
+  bool residual = exl3_gemv_int8_mode() == 1;
+
+  // Per-slice-scale kernel: m == 1, plus m == 2 in plain int8 mode (rows share
+  // the decoded weights and the B stream; measured on 3090, larger m and
+  // batched residual lose to the fp16 tensor-core kernel). Falls through to the
+  // cooperative kernel on a constraint miss at m == 1; batched rows beyond the
+  // gate go straight to the regular kernel.
+  if (size_m <= (residual ? 1 : 2) &&
+      exl3_gemv_int8_sq(
+          (const half*)A.data_ptr(), (const uint16_t*)B.data_ptr(),
+          C.data_ptr(), size_m, size_k, size_n, K, c_fp32, residual,
+          (const half*)suh->data_ptr(), (half*)A_had->data_ptr(),
+          (const half*)svh->data_ptr(), device, num_sms, stream, graph))
+    return true;
+  if (size_m > 1) return false;
+
+  void* fn = select_gemv_int8_kernel(K, c_fp32, residual);
+  if (!fn) return false;
+
+  // Mirror the kernel's work decomposition for the shared memory size; grid =
+  // max co-resident blocks (natural register allocation measures faster than
+  // forcing higher occupancy)
+  auto smem_for_grid = [&](int grid_) -> size_t {
+    int rows_total = size_k / 16;
+    int nb256 = size_n / 256;
+    int smem_rows_max = residual ? 384 : 768;
+    int ksplit = CEIL_DIVIDE(4 * grid_, nb256);
+    ksplit = MAX(ksplit, CEIL_DIVIDE(rows_total, smem_rows_max));
+    ksplit = MIN(ksplit, rows_total);
+    int rows_per = CEIL_DIVIDE(rows_total, ksplit);
+    size_t stage =
+        gemv_int8_stage_smem(K) ? (size_t)8 * GEMV_STAGE_D * 16 * K * 4 : 0;
+    return MAX((size_t)rows_per * 16 * 4 * (residual ? 2 : 1) + stage,
+               (size_t)8 * 128 * 4);
+  };
+
+  if (gemv_attr_set[device].find(fn) == gemv_attr_set[device].end()) {
+    // Upper bound over all shapes: smem_rows_max * 64 B
+    cudaFuncSetAttribute(fn, cudaFuncAttributeMaxDynamicSharedMemorySize,
+                         768 * 16 * 4 + GEMV_STAGE_MAX_BYTES);
+    // Match the tensor-core kernels' shared-memory carveout: these kernels
+    // interleave with them (hundreds of launches per decoded token), and a
+    // smaller carveout would make the GPU drain and reconfigure the SMs on
+    // every transition - measured at ~4 us per launch in graph replay
+    cudaFuncSetAttribute(fn, cudaFuncAttributePreferredSharedMemoryCarveout,
+                         cudaSharedmemCarveoutMaxShared);
+    gemv_attr_set[device].insert(fn);
+    cuda_check(cudaPeekAtLastError());
+  }
+
+  size_t smem_guess = smem_for_grid(6 * num_sms);
+  int maxb;
+  auto occ_key = std::make_pair(fn, smem_guess);
+  auto occ_it = gemv_occ_cache[device].find(occ_key);
+  if (occ_it != gemv_occ_cache[device].end())
+    maxb = occ_it->second;
+  else {
+    maxb = 1;
+    cudaOccupancyMaxActiveBlocksPerMultiprocessor(&maxb, fn, NUM_THREADS,
+                                                  smem_guess);
+    gemv_occ_cache[device][occ_key] = maxb;
+  }
+  int grid = MIN(MAX(maxb, 1) * num_sms, 1024);
+  size_t smem = smem_for_grid(grid);
+
+  // Coop region beyond the sq-reserved prefix: [2n accs][4m qsums][grid partial
+  // maxes]
+  size_t ws_ints = SQ_WS_RESERVED + (size_t)2 * size_n + 4 * size_m + 1024;
+  int* ws_base = gemv_int8_get_ws(device, ws_ints);
+  if (!ws_base) return false;
+  int* ws_ptr = ws_base + SQ_WS_RESERVED;
+
+  const half* A_ptr = (const half*)A.data_ptr();
+  const uint16_t* B_ptr = (const uint16_t*)B.data_ptr();
+  void* C_ptr = C.data_ptr();
+  const half* suh_ptr = (const half*)suh->data_ptr();
+  half* A_had_ptr = (half*)A_had->data_ptr();  // scratch; used through a raw
+                                               // half* like the regular kernel
+  const half* svh_ptr = (const half*)svh->data_ptr();
+
+  void* kernelArgs[] = {(void*)&A_ptr,  (void*)&B_ptr,   (void*)&C_ptr,
+                        (void*)&size_m, (void*)&size_k,  (void*)&size_n,
+                        (void*)&ws_ptr, (void*)&suh_ptr, (void*)&A_had_ptr,
+                        (void*)&svh_ptr};
+
+  auto add_graph_args = [&](void* kernel_ptr) {
+    if (graph) {
+      graph->record_param(kernel_ptr, GP_gemm_A, 0);
+      graph->record_param(kernel_ptr, GP_gemm_B_trellis, 1);
+      graph->record_param(kernel_ptr, GP_gemm_C, 2);
+      graph->record_param(kernel_ptr, GP_gemm_B_suh, 7);
+      graph->record_param(kernel_ptr, GP_gemm_A_had, 8);
+      graph->record_param(kernel_ptr, GP_gemm_B_svh, 9);
+      graph->record_param(kernel_ptr, GP_end, 0);
+    }
+  };
+
+  cudaError_t err = cudaLaunchCooperativeKernel(fn, grid, NUM_THREADS,
+                                                kernelArgs, smem, stream);
+  add_graph_args((void*)fn);
+
+  if (err != cudaSuccess) {
+    // e.g. cooperative launch unsupported or co-residency violated: fall back
+    // to the regular kernel
+    cudaGetLastError();
+    return false;
+  }
+  return true;
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv_int8.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv_int8.cuh
new file mode 100644
index 0000000000..ddb01e8227
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv_int8.cuh
@@ -0,0 +1,30 @@
+#pragma once
+
+#include "../util.h"
+#include <cuda_runtime.h>
+
+#include "../graph.cuh"
+
+// Fused int8-activation GEMV for mul1 (cb 2) tensors: single cooperative launch
+// covering input Hadamard, activation quantization, dp4a GEMV and output
+// Hadamard. EXL3_INT8_GEMV=2 (default) is the plain int8 mode, =1 the
+// error-feedback residual mode (~15-16 bit effective activation precision), =0
+// disables the path. Tensors outside the mul1 codebook are unaffected.
+// Arbitrary m is handled as sequential row passes within the launch, so
+// intended for the small-m regime. See benchmarks/exl3_m1_bench (variants
+// 15-18) for derivation, microbenchmarks and profiling.
+
+bool exl3_gemv_int8_enabled();
+
+// Highest K the int8 path accepts on `device` (per-arch, EXL3_INT8_GEMV_MAX_K
+// override). Also bound to Python so the mgemm fusion heuristic can mirror the
+// gate
+int exl3_gemv_int8_max_k(int device);
+
+// Returns true if the operation was handled (false -> caller should fall
+// through to the regular kernel)
+bool exl3_gemv_int8(const at::Tensor& A, const at::Tensor& B, at::Tensor& C,
+                    const c10::optional<at::Tensor>& suh,
+                    const c10::optional<at::Tensor>& A_had,
+                    const c10::optional<at::Tensor>& svh, cudaStream_t stream,
+                    Graph* graph);
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv_int8_kernel.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv_int8_kernel.cuh
new file mode 100644
index 0000000000..378cc329ee
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv_int8_kernel.cuh
@@ -0,0 +1,1168 @@
+#pragma once
+
+// Device side of the fused int8-activation GEMV (see comment below). Kernels
+// are instantiated in comp_units/exl3_gemv_int8_inst_*.cu; the host code in
+// exl3_gemv_int8.cu includes this header only for the launch-geometry constants
+// and __host__ __device__ helpers
+
+#include <cuda_fp16.h>
+#include <cuda_bf16.h>
+#include <cublas_v2.h>
+#include <cstdio>
+#include <cooperative_groups.h>
+#include "../util.h"
+#include "../util.cuh"
+#include "../ptx.cuh"
+#include "exl3_dq.cuh"
+#include "hadamard_inner.cuh"
+
+namespace cg_gemv = cooperative_groups;
+
+// Fused int8-activation GEMV for mul1 (cb 2) tensors, single cooperative
+// launch.
+//
+// The mul1 codebook value is affine in the byte sum of x * 0x83DCD12D, so with
+// activations quantized to int8, dp4a(x * M, splat(a_int8), acc) evaluates
+// codebook(x) * a in a single instruction with exact int32 accumulation, and
+//
+//   y[n] = k_inv * (q * acc1[n] + q2 * acc2[n]) + (1024 * k_inv + k_bias) * (q
+//   * sum1 + q2 * sum2)
+//
+// recovers the result. In residual mode (EXL3_INT8_GEMV=1) the int8 rounding
+// error r = a - q*i, which has range +/-q/2 by construction, is quantized with
+// the fixed scale q2 = q/254 and accumulated by a second dp4a sharing the
+// decoded products, for ~15-16 bit effective activation precision (KL at parity
+// with the fp16 kernel or better). EXL3_INT8_GEMV=2 is the plain int8 mode.
+//
+// One cooperative launch with the same argument list as exl3_gemm_kernel;
+// `locks` doubles as workspace: [2*size_n int32 accumulators][{float q, int s1,
+// int s2, pad} per row][partial max per block]. Phases (persistent 256-thread
+// blocks):
+//   1a. input Hadamard A -> A_had (as in exl3_gemm_kernel) + accumulator
+//   zeroing; for m == 1 also a
+//       per-block partial max of the transformed activations
+//   1b. (m > 1 only) per-row scale and exact int sums
+//   per row:
+//     2. GEMV over (256-column x k-slice) units; activation splats are
+//     quantized INLINE while
+//        staging to shared memory (for m == 1, every block re-derives q from
+//        the phase-1a partial maxes - fmax is order-independent so this is
+//        deterministic - and block 0 computes the exact epilogue sums
+//        concurrently); grid.sync
+//     3. epilogue: affine correction + output Hadamard + svh + accumulator
+//     reset, warp-striped
+//
+// K == 4 uses the wide unit: a warp owns an ADJACENT BLOCK PAIR; lane l's uint2
+// = words {2m, 2m+1} of the contiguous 64-word region are exactly the primary
+// words of runs t = 8*(2m), 8*(2m+1), which scatter to the SAME two n values
+// (accumulator count unchanged, splats merge into two uint4 loads, single-stage
+// butterfly, boundary word via one shuffle). 256 B contiguous per warp per
+// block row with two-row prefetch. Other K use a generic narrow unit (two
+// blocks per warp, pointer-based extraction). Natural register allocation (2-3
+// resident blocks/SM) measures faster than forcing higher occupancy: with wide
+// loads the per-warp ILP is worth more than the extra warps.
+
+#define NUM_THREADS 256
+
+// ---------------------------------------------------------------------------------------------------------
+// Extract 8 packed 16-bit trellis windows for positions t0..t0+7 as masked
+// uint32s. Index math copied from the corresponding paths in exl3_dq.cuh
+// (dq8_aligned_*, dq8, dq4, dq2x2).
+
+__device__ __forceinline__ int dp4a_us(uint32_t a, uint32_t b, int c) {
+  int d;
+  asm("dp4a.u32.s32 %0, %1, %2, %3;" : "=r"(d) : "r"(a), "r"(b), "r"(c));
+  return d;
+}
+
+// i0/i2 land in [0, 2*words); a compare+subtract replaces the modulo (words is
+// not a power of two for odd bit widths)
+template <int bits>
+__device__ __forceinline__ int wrap_idx(int i) {
+  constexpr int words = bits * 256 / 32;
+  return i >= words ? i - words : i;
+}
+
+template <int bits>
+__device__ __forceinline__ void ext4w(const uint32_t* ptr, int t0, uint32_t& w0,
+                                      uint32_t& w1, uint32_t& w2,
+                                      uint32_t& w3) {
+  int b0 = (t0 + 257) * bits - 16;
+  int b2 = b0 + 3 * bits + 16;
+  int i0 = b0 / 32;
+  int i2 = (b2 - 1) / 32;
+  int s2 = (i2 + 1) * 32 - b2;
+  uint32_t a = ptr[wrap_idx<bits>(i0)];
+  uint32_t b = ptr[wrap_idx<bits>(i2)];
+  w3 = fshift(b, a, s2) & 0xffff;
+  w2 = fshift(b, a, s2 + bits) & 0xffff;
+  w1 = fshift(b, a, s2 + bits * 2) & 0xffff;
+  w0 = fshift(b, a, s2 + bits * 3) & 0xffff;
+}
+
+template <int bits>
+__device__ __forceinline__ void ext2w(const uint32_t* ptr, int t0, uint32_t& w0,
+                                      uint32_t& w1) {
+  int b0 = (t0 + 257) * bits - 16;
+  int b2 = b0 + bits + 16;
+  int i0 = b0 / 32;
+  int i2 = (b2 - 1) / 32;
+  int s2 = (i2 + 1) * 32 - b2;
+  uint32_t a = ptr[wrap_idx<bits>(i0)];
+  uint32_t b = ptr[wrap_idx<bits>(i2)];
+  w1 = fshift(b, a, s2) & 0xffff;
+  w0 = fshift(b, a, s2 + bits) & 0xffff;
+}
+
+template <int bits>
+__device__ __forceinline__ void ext8w(const uint32_t* ptr, int t0, uint32_t& w0,
+                                      uint32_t& w1, uint32_t& w2, uint32_t& w3,
+                                      uint32_t& w4, uint32_t& w5, uint32_t& w6,
+                                      uint32_t& w7) {
+  if constexpr (bits == 1) {
+    uint32_t i1 = t0 >> 5;
+    uint32_t i0 = (i1 + 7) & 7;
+    uint32_t a = ptr[i0];
+    uint32_t b = ptr[i1];
+    b = fshift(b, a, ((~t0) & 24));
+    w7 = b & 0xffff;
+    BFE16_IMM(w6, b, 1);
+    BFE16_IMM(w5, b, 2);
+    BFE16_IMM(w4, b, 3);
+    BFE16_IMM(w3, b, 4);
+    BFE16_IMM(w2, b, 5);
+    BFE16_IMM(w1, b, 6);
+    BFE16_IMM(w0, b, 7);
+  } else if constexpr (bits == 2) {
+    uint32_t i1 = t0 >> 4;
+    uint32_t i0 = (i1 + 15) & 15;
+    uint32_t a = ptr[i0];
+    uint32_t b = ptr[i1];
+    b = fshift(b, a, ((~t0) & 8) << 1);
+    w7 = b & 0xffff;
+    BFE16_IMM(w6, b, 2);
+    BFE16_IMM(w5, b, 4);
+    BFE16_IMM(w4, b, 6);
+    BFE16_IMM(w3, b, 8);
+    BFE16_IMM(w2, b, 10);
+    BFE16_IMM(w1, b, 12);
+    BFE16_IMM(w0, b, 14);
+  } else if constexpr (bits == 3) {
+    int b1 = (t0 + 257) * bits;
+    int b0 = b1 - 16;
+    int b2 = b1 + bits * 7;
+    int i0 = b0 / 32;
+    int i2 = (b2 - 1) / 32;
+    int s2 = (i2 + 1) * 32 - b2;
+    uint32_t a = ptr[wrap_idx<bits>(i0)];
+    uint32_t b = ptr[wrap_idx<bits>(i2)];
+    w7 = fshift(b, a, s2);
+    w6 = w7 >> bits;
+    w5 = w6 >> bits;
+    w4 = w5 >> bits;
+    w3 = fshift(b, a, s2 + bits * 4);
+    w2 = w3 >> bits;
+    w1 = w2 >> bits;
+    w0 = w1 >> bits;
+    w7 &= 0xffff;
+    w6 &= 0xffff;
+    w5 &= 0xffff;
+    w4 &= 0xffff;
+    w3 &= 0xffff;
+    w2 &= 0xffff;
+    w1 &= 0xffff;
+    w0 &= 0xffff;
+  } else if constexpr (bits == 4) {
+    uint32_t i1 = t0 >> 3;
+    uint32_t i0 = (i1 + 31) & 31;
+    uint32_t a = ptr[i0];
+    uint32_t b = ptr[i1];
+    uint32_t s;
+    FSHF_IMM(s, b, a, 20);
+    w7 = b & 0xffff;
+    BFE16_IMM(w6, b, 4);
+    BFE16_IMM(w5, b, 8);
+    BFE16_IMM(w4, b, 12);
+    BFE16_IMM(w3, b, 16);
+    w2 = s & 0xffff;
+    BFE16_IMM(w1, s, 4);
+    BFE16_IMM(w0, s, 8);
+  } else if constexpr (bits == 7) {
+    ext2w<bits>(ptr, t0, w0, w1);
+    ext2w<bits>(ptr, t0 + 2, w2, w3);
+    ext2w<bits>(ptr, t0 + 4, w4, w5);
+    ext2w<bits>(ptr, t0 + 6, w6, w7);
+  } else  // 5, 6, 8
+  {
+    ext4w<bits>(ptr, t0, w0, w1, w2, w3);
+    ext4w<bits>(ptr, t0 + 4, w4, w5, w6, w7);
+  }
+}
+
+// 4bpw extraction from two already-loaded words (same window order)
+__device__ __forceinline__ void extract8_4bits_words(
+    uint32_t a, uint32_t b, uint32_t& w0, uint32_t& w1, uint32_t& w2,
+    uint32_t& w3, uint32_t& w4, uint32_t& w5, uint32_t& w6, uint32_t& w7) {
+  uint32_t s;
+  FSHF_IMM(s, b, a, 20);
+  w7 = b & 0xffff;
+  BFE16_IMM(w6, b, 4);
+  BFE16_IMM(w5, b, 8);
+  BFE16_IMM(w4, b, 12);
+  BFE16_IMM(w3, b, 16);
+  w2 = s & 0xffff;
+  BFE16_IMM(w1, s, 4);
+  BFE16_IMM(w0, s, 8);
+}
+
+// ---------------------------------------------------------------------------------------------------------
+// Device building blocks (also reusable from batched mgemm/MoE-style kernels)
+
+// Quantize one k-slice of the (Hadamard-transformed) activation row into int8
+// byte-splats in shared memory, plus optional error-feedback residual splats
+template <bool residual>
+__device__ __forceinline__ void gemv_int8_stage_splats(
+    const half* __restrict__ A_had_row, float q, uint32_t* __restrict__ sh_as,
+    uint32_t* __restrict__ sh_as2, int kb0, int nrows) {
+  __syncthreads();
+  float rq = 1.0f / q;
+  float rq2 = rq * 254.0f;
+  for (int i = threadIdx.x; i < nrows * 16; i += NUM_THREADS) {
+    float a = __half2float(A_had_row[(kb0 << 4) + i]);
+    int v = __float2int_rn(a * rq);
+    v = max(-127, min(127, v));
+    sh_as[i] = ((uint32_t)(uint8_t)(int8_t)v) * 0x01010101u;
+    if constexpr (residual) {
+      float r = a - q * (float)v;
+      int v2 = __float2int_rn(r * rq2);
+      v2 = max(-127, min(127, v2));
+      sh_as2[i] = ((uint32_t)(uint8_t)(int8_t)v2) * 0x01010101u;
+    }
+  }
+  __syncthreads();
+}
+
+// Block-wide: exact int8(+residual) sums of one activation row, writes {q, s1,
+// s2} to qsums_row
+template <bool residual>
+__device__ __forceinline__ void gemv_int8_row_sums(
+    const half* __restrict__ Ar, float q, int size_k,
+    float* __restrict__ qsums_row) {
+  __shared__ int sh_s1[32];
+  __shared__ int sh_s2[32];
+  int t = threadIdx.x;
+  float rq = 1.0f / q;
+  float rq2 = rq * 254.0f;
+  int s1 = 0, s2 = 0;
+  for (int i = t; i < size_k; i += NUM_THREADS) {
+    float a = __half2float(Ar[i]);
+    int v = __float2int_rn(a * rq);
+    v = max(-127, min(127, v));
+    s1 += v;
+    if constexpr (residual) {
+      float r = a - q * (float)v;
+      int v2 = __float2int_rn(r * rq2);
+      s2 += max(-127, min(127, v2));
+    }
+  }
+#pragma unroll
+  for (int o = 16; o > 0; o >>= 1) {
+    s1 += __shfl_xor_sync(0xffffffff, s1, o);
+    s2 += __shfl_xor_sync(0xffffffff, s2, o);
+  }
+  if ((t & 31) == 0) {
+    sh_s1[t >> 5] = s1;
+    sh_s2[t >> 5] = s2;
+  }
+  __syncthreads();
+  if (t < 32) {
+    int v1 = t < (NUM_THREADS >> 5) ? sh_s1[t] : 0;
+    int v2 = t < (NUM_THREADS >> 5) ? sh_s2[t] : 0;
+#pragma unroll
+    for (int o = 16; o > 0; o >>= 1) {
+      v1 += __shfl_xor_sync(0xffffffff, v1, o);
+      v2 += __shfl_xor_sync(0xffffffff, v2, o);
+    }
+    if (t == 0) {
+      qsums_row[0] = q;
+      ((int*)qsums_row)[1] = v1;
+      ((int*)qsums_row)[2] = v2;
+    }
+  }
+  __syncthreads();
+}
+
+// The K cap (fall back to the regular kernel in the DRAM-bound regime) is
+// per-arch; see exl3_gemv_int8_max_k in exl3_gemv_int8.cu
+#define GEMV_STAGE_D \
+  4  // cp.async pipeline depth (rows) for the smem-staged unit
+#define GEMV_STAGE_MAX_BYTES (8 * GEMV_STAGE_D * 16 * 8 * 4)  // 8 warps, K = 8
+
+// Per-slice-scale ("sq") kernel parameters
+#define SQ_KSPLIT_CAP 64
+#define SQ_MINROWS 16    // minimum slice height (staging overhead amortization)
+#define SQ_ROWS_MAX 512  // shared memory cap
+#define SQ_COUNTERS_CAP 4096  // fixed counter region: size_n up to 1M
+#define SQ_WS_RESERVED \
+  (SQ_COUNTERS_CAP +   \
+   4 * SQ_KSPLIT_CAP * 4)  // sq-private region at workspace start (counters +
+                           // per-slice-per-row scales, m <= 4)
+
+// Wide unit (4 bpw): one (256-column x k-slice) unit, warp per adjacent block
+// pair, uint2 loads. M activation rows share the decoded weights: extraction
+// and the B stream are amortized, each row only adds its dp4a chains against
+// its own splat region (sh_as + r * slice_stride; residual splats at (M + r) *
+// slice_stride - at M = 1 this is exactly the coop kernel's sh_as/sh_as2
+// layout). Row accumulators go to accs + r * acc_stride, atomically or with
+// plain stores (exclusive per-slice partials of the sq kernel).
+template <int M, bool residual, bool atomic = true>
+__device__ __forceinline__ void gemv_int8_unit_wide(
+    const uint16_t* __restrict__ B, int* __restrict__ accs, size_t acc_stride,
+    const uint32_t* __restrict__ sh_as, int slice_stride, int nb256, int kb0,
+    int nrows, int size_n) {
+  int warp = threadIdx.x >> 5;
+  int lane = threadIdx.x & 31;
+  int nbp = nb256 * 8 + warp;
+  const int row_stride = size_n * 2;  // u32 per block row at 4 bpw
+  const uint32_t* bp = ((const uint32_t*)B) + (size_t)kb0 * row_stride +
+                       (size_t)nbp * 64 + 2 * lane;
+  int c2 = (lane & 1) ? 4 : 0;
+  int shfl_src = (lane & 16) | ((lane + 15) & 15);
+
+  int iacc0[M] = {}, iacc1[M] = {}, jacc0[M] = {}, jacc1[M] = {};
+  uint2 r0 = *(const uint2*)bp;
+  uint2 r1 = {};
+  if (nrows > 1) r1 = *(const uint2*)(bp + row_stride);
+
+  for (int kb = 0; kb < nrows; ++kb) {
+    uint2 r2 = {};
+    if (kb + 2 < nrows)
+      r2 = *(const uint2*)(bp + (size_t)(kb + 2) * row_stride);
+    uint32_t prev = __shfl_sync(0xffffffff, r0.y, shfl_src);
+
+    uint32_t w0, w1, w2, w3, w4, w5, w6, w7;
+    uint32_t v0, v1, v2, v3, v4, v5, v6, v7;
+    extract8_4bits_words(prev, r0.x, w0, w1, w2, w3, w4, w5, w6,
+                         w7);  // run t = 8*(2m)
+    extract8_4bits_words(r0.x, r0.y, v0, v1, v2, v3, v4, v5, v6,
+                         v7);  // run t = 8*(2m+1)
+    w0 *= 0x83DCD12Du;
+    w1 *= 0x83DCD12Du;
+    w2 *= 0x83DCD12Du;
+    w3 *= 0x83DCD12Du;
+    w4 *= 0x83DCD12Du;
+    w5 *= 0x83DCD12Du;
+    w6 *= 0x83DCD12Du;
+    w7 *= 0x83DCD12Du;
+    v0 *= 0x83DCD12Du;
+    v1 *= 0x83DCD12Du;
+    v2 *= 0x83DCD12Du;
+    v3 *= 0x83DCD12Du;
+    v4 *= 0x83DCD12Du;
+    v5 *= 0x83DCD12Du;
+    v6 *= 0x83DCD12Du;
+    v7 *= 0x83DCD12Du;
+
+#pragma unroll
+    for (int r = 0; r < M; ++r) {
+      const uint32_t* as = sh_as + r * slice_stride + (kb << 4);
+      uint4 as0 = *(const uint4*)(as + c2);
+      uint4 as8 = *(const uint4*)(as + c2 + 8);
+      iacc0[r] = dp4a_us(w0, as0.x, iacc0[r]);
+      iacc0[r] = dp4a_us(w1, as0.y, iacc0[r]);
+      iacc0[r] = dp4a_us(w2, as8.x, iacc0[r]);
+      iacc0[r] = dp4a_us(w3, as8.y, iacc0[r]);
+      iacc1[r] = dp4a_us(w4, as0.x, iacc1[r]);
+      iacc1[r] = dp4a_us(w5, as0.y, iacc1[r]);
+      iacc1[r] = dp4a_us(w6, as8.x, iacc1[r]);
+      iacc1[r] = dp4a_us(w7, as8.y, iacc1[r]);
+      iacc0[r] = dp4a_us(v0, as0.z, iacc0[r]);
+      iacc0[r] = dp4a_us(v1, as0.w, iacc0[r]);
+      iacc0[r] = dp4a_us(v2, as8.z, iacc0[r]);
+      iacc0[r] = dp4a_us(v3, as8.w, iacc0[r]);
+      iacc1[r] = dp4a_us(v4, as0.z, iacc1[r]);
+      iacc1[r] = dp4a_us(v5, as0.w, iacc1[r]);
+      iacc1[r] = dp4a_us(v6, as8.z, iacc1[r]);
+      iacc1[r] = dp4a_us(v7, as8.w, iacc1[r]);
+      if constexpr (residual) {
+        const uint32_t* as2 = sh_as + (M + r) * slice_stride + (kb << 4);
+        uint4 bs0 = *(const uint4*)(as2 + c2);
+        uint4 bs8 = *(const uint4*)(as2 + c2 + 8);
+        jacc0[r] = dp4a_us(w0, bs0.x, jacc0[r]);
+        jacc0[r] = dp4a_us(w1, bs0.y, jacc0[r]);
+        jacc0[r] = dp4a_us(w2, bs8.x, jacc0[r]);
+        jacc0[r] = dp4a_us(w3, bs8.y, jacc0[r]);
+        jacc1[r] = dp4a_us(w4, bs0.x, jacc1[r]);
+        jacc1[r] = dp4a_us(w5, bs0.y, jacc1[r]);
+        jacc1[r] = dp4a_us(w6, bs8.x, jacc1[r]);
+        jacc1[r] = dp4a_us(w7, bs8.y, jacc1[r]);
+        jacc0[r] = dp4a_us(v0, bs0.z, jacc0[r]);
+        jacc0[r] = dp4a_us(v1, bs0.w, jacc0[r]);
+        jacc0[r] = dp4a_us(v2, bs8.z, jacc0[r]);
+        jacc0[r] = dp4a_us(v3, bs8.w, jacc0[r]);
+        jacc1[r] = dp4a_us(v4, bs0.z, jacc1[r]);
+        jacc1[r] = dp4a_us(v5, bs0.w, jacc1[r]);
+        jacc1[r] = dp4a_us(v6, bs8.z, jacc1[r]);
+        jacc1[r] = dp4a_us(v7, bs8.w, jacc1[r]);
+      }
+    }
+
+    r0 = r1;
+    r1 = r2;
+  }
+
+// Lanes l, l^1 share both n values
+#pragma unroll
+  for (int r = 0; r < M; ++r) {
+    iacc0[r] += __shfl_xor_sync(0xffffffff, iacc0[r], 1);
+    iacc1[r] += __shfl_xor_sync(0xffffffff, iacc1[r], 1);
+    if constexpr (residual) {
+      jacc0[r] += __shfl_xor_sync(0xffffffff, jacc0[r], 1);
+      jacc1[r] += __shfl_xor_sync(0xffffffff, jacc1[r], 1);
+    }
+  }
+  if (!(lane & 1)) {
+    int nb = nbp * 2 + (lane >> 4);
+    int n0 = nb * 16 + ((lane & 15) >> 1);
+#pragma unroll
+    for (int r = 0; r < M; ++r) {
+      int* acc = accs + r * acc_stride;
+      if constexpr (atomic) {
+        atomicAdd(acc + n0, iacc0[r]);
+        atomicAdd(acc + n0 + 8, iacc1[r]);
+        if constexpr (residual) {
+          atomicAdd(acc + size_n + n0, jacc0[r]);
+          atomicAdd(acc + size_n + n0 + 8, jacc1[r]);
+        }
+      } else {
+        acc[n0] = iacc0[r];
+        acc[n0 + 8] = iacc1[r];
+        if constexpr (residual) {
+          acc[size_n + n0] = jacc0[r];
+          acc[size_n + n0 + 8] = jacc1[r];
+        }
+      }
+    }
+  }
+}
+
+// One k-row of an adjacent block pair, generic K: extract + dp4a for both
+// blocks from block pointers (global or shared memory), M rows sharing the
+// extraction
+template <int bits, int M, bool residual>
+__device__ __forceinline__ void gemv_int8_pair_row(
+    const uint32_t* blockA, const uint32_t* blockB,
+    const uint32_t* as_kb,  // sh_as + (kb << 4)
+    int slice_stride, int c2, int t0, int* ia0, int* ia1, int* ib0, int* ib1,
+    int* ja0, int* ja1, int* jb0, int* jb1) {
+  uint32_t w0, w1, w2, w3, w4, w5, w6, w7;
+  ext8w<bits>(blockA, t0, w0, w1, w2, w3, w4, w5, w6, w7);
+  w0 *= 0x83DCD12Du;
+  w1 *= 0x83DCD12Du;
+  w2 *= 0x83DCD12Du;
+  w3 *= 0x83DCD12Du;
+  w4 *= 0x83DCD12Du;
+  w5 *= 0x83DCD12Du;
+  w6 *= 0x83DCD12Du;
+  w7 *= 0x83DCD12Du;
+#pragma unroll
+  for (int r = 0; r < M; ++r) {
+    const uint32_t* as = as_kb + r * slice_stride;
+    uint2 as01 = *(const uint2*)(as + c2);
+    uint2 as89 = *(const uint2*)(as + c2 + 8);
+    ia0[r] = dp4a_us(w0, as01.x, ia0[r]);
+    ia0[r] = dp4a_us(w1, as01.y, ia0[r]);
+    ia0[r] = dp4a_us(w2, as89.x, ia0[r]);
+    ia0[r] = dp4a_us(w3, as89.y, ia0[r]);
+    ia1[r] = dp4a_us(w4, as01.x, ia1[r]);
+    ia1[r] = dp4a_us(w5, as01.y, ia1[r]);
+    ia1[r] = dp4a_us(w6, as89.x, ia1[r]);
+    ia1[r] = dp4a_us(w7, as89.y, ia1[r]);
+    if constexpr (residual) {
+      const uint32_t* as2 = as_kb + (M + r) * slice_stride;
+      uint2 bs01 = *(const uint2*)(as2 + c2);
+      uint2 bs89 = *(const uint2*)(as2 + c2 + 8);
+      ja0[r] = dp4a_us(w0, bs01.x, ja0[r]);
+      ja0[r] = dp4a_us(w1, bs01.y, ja0[r]);
+      ja0[r] = dp4a_us(w2, bs89.x, ja0[r]);
+      ja0[r] = dp4a_us(w3, bs89.y, ja0[r]);
+      ja1[r] = dp4a_us(w4, bs01.x, ja1[r]);
+      ja1[r] = dp4a_us(w5, bs01.y, ja1[r]);
+      ja1[r] = dp4a_us(w6, bs89.x, ja1[r]);
+      ja1[r] = dp4a_us(w7, bs89.y, ja1[r]);
+    }
+  }
+
+  ext8w<bits>(blockB, t0, w0, w1, w2, w3, w4, w5, w6, w7);
+  w0 *= 0x83DCD12Du;
+  w1 *= 0x83DCD12Du;
+  w2 *= 0x83DCD12Du;
+  w3 *= 0x83DCD12Du;
+  w4 *= 0x83DCD12Du;
+  w5 *= 0x83DCD12Du;
+  w6 *= 0x83DCD12Du;
+  w7 *= 0x83DCD12Du;
+#pragma unroll
+  for (int r = 0; r < M; ++r) {
+    const uint32_t* as = as_kb + r * slice_stride;
+    uint2 as01 = *(const uint2*)(as + c2);
+    uint2 as89 = *(const uint2*)(as + c2 + 8);
+    ib0[r] = dp4a_us(w0, as01.x, ib0[r]);
+    ib0[r] = dp4a_us(w1, as01.y, ib0[r]);
+    ib0[r] = dp4a_us(w2, as89.x, ib0[r]);
+    ib0[r] = dp4a_us(w3, as89.y, ib0[r]);
+    ib1[r] = dp4a_us(w4, as01.x, ib1[r]);
+    ib1[r] = dp4a_us(w5, as01.y, ib1[r]);
+    ib1[r] = dp4a_us(w6, as89.x, ib1[r]);
+    ib1[r] = dp4a_us(w7, as89.y, ib1[r]);
+    if constexpr (residual) {
+      const uint32_t* as2 = as_kb + (M + r) * slice_stride;
+      uint2 bs01 = *(const uint2*)(as2 + c2);
+      uint2 bs89 = *(const uint2*)(as2 + c2 + 8);
+      jb0[r] = dp4a_us(w0, bs01.x, jb0[r]);
+      jb0[r] = dp4a_us(w1, bs01.y, jb0[r]);
+      jb0[r] = dp4a_us(w2, bs89.x, jb0[r]);
+      jb0[r] = dp4a_us(w3, bs89.y, jb0[r]);
+      jb1[r] = dp4a_us(w4, bs01.x, jb1[r]);
+      jb1[r] = dp4a_us(w5, bs01.y, jb1[r]);
+      jb1[r] = dp4a_us(w6, bs89.x, jb1[r]);
+      jb1[r] = dp4a_us(w7, bs89.y, jb1[r]);
+    }
+  }
+}
+
+// Shared reduction tail for the pair-per-warp generic units (atomic, or
+// exclusive plain stores for the per-slice partials of the sq kernel): four
+// lanes share each n
+template <int M, bool residual, bool atomic = true>
+__device__ __forceinline__ void gemv_int8_pair_tail(
+    int* __restrict__ accs, size_t acc_stride, int nbp, int lane, int size_n,
+    int* ia0, int* ia1, int* ib0, int* ib1, int* ja0, int* ja1, int* jb0,
+    int* jb1) {
+#pragma unroll
+  for (int r = 0; r < M; ++r) {
+#pragma unroll
+    for (int o = 1; o < 4; o <<= 1) {
+      ia0[r] += __shfl_xor_sync(0xffffffff, ia0[r], o);
+      ia1[r] += __shfl_xor_sync(0xffffffff, ia1[r], o);
+      ib0[r] += __shfl_xor_sync(0xffffffff, ib0[r], o);
+      ib1[r] += __shfl_xor_sync(0xffffffff, ib1[r], o);
+      if constexpr (residual) {
+        ja0[r] += __shfl_xor_sync(0xffffffff, ja0[r], o);
+        ja1[r] += __shfl_xor_sync(0xffffffff, ja1[r], o);
+        jb0[r] += __shfl_xor_sync(0xffffffff, jb0[r], o);
+        jb1[r] += __shfl_xor_sync(0xffffffff, jb1[r], o);
+      }
+    }
+  }
+  if ((lane & 3) == 0) {
+    int nA = (nbp * 2) * 16 + (lane >> 2);
+    int nB = nA + 16;
+#pragma unroll
+    for (int r = 0; r < M; ++r) {
+      int* acc = accs + r * acc_stride;
+      if constexpr (atomic) {
+        atomicAdd(acc + nA, ia0[r]);
+        atomicAdd(acc + nA + 8, ia1[r]);
+        atomicAdd(acc + nB, ib0[r]);
+        atomicAdd(acc + nB + 8, ib1[r]);
+        if constexpr (residual) {
+          atomicAdd(acc + size_n + nA, ja0[r]);
+          atomicAdd(acc + size_n + nA + 8, ja1[r]);
+          atomicAdd(acc + size_n + nB, jb0[r]);
+          atomicAdd(acc + size_n + nB + 8, jb1[r]);
+        }
+      } else {
+        acc[nA] = ia0[r];
+        acc[nA + 8] = ia1[r];
+        acc[nB] = ib0[r];
+        acc[nB + 8] = ib1[r];
+        if constexpr (residual) {
+          acc[size_n + nA] = ja0[r];
+          acc[size_n + nA + 8] = ja1[r];
+          acc[size_n + nB] = jb0[r];
+          acc[size_n + nB + 8] = jb1[r];
+        }
+      }
+    }
+  }
+}
+
+// Narrow generic unit (any K): one (256-column x k-slice) unit, warp per
+// adjacent block pair processed sequentially with pointer-based extraction
+// straight from global memory
+template <int bits, int M, bool residual, bool atomic = true>
+__device__ __forceinline__ void gemv_int8_unit_narrow(
+    const uint16_t* __restrict__ B, int* __restrict__ accs, size_t acc_stride,
+    const uint32_t* __restrict__ sh_as, int slice_stride, int nb256, int kb0,
+    int nrows, int size_n) {
+  int warp = threadIdx.x >> 5;
+  int lane = threadIdx.x & 31;
+  int nbp = nb256 * 8 + warp;
+  const int row_stride = size_n * bits / 2;
+  const uint32_t* bp = ((const uint32_t*)B) + (size_t)kb0 * row_stride +
+                       (size_t)nbp * (bits * 16);
+  int c2 = 2 * (lane & 3);
+  int ia0[M] = {}, ia1[M] = {}, ib0[M] = {}, ib1[M] = {};
+  int ja0[M] = {}, ja1[M] = {}, jb0[M] = {}, jb1[M] = {};
+
+  for (int kb = 0; kb < nrows; ++kb) {
+    const uint32_t* blockA = bp + (size_t)kb * row_stride;
+    gemv_int8_pair_row<bits, M, residual>(
+        blockA, blockA + 8 * bits, sh_as + (kb << 4), slice_stride, c2,
+        lane << 3, ia0, ia1, ib0, ib1, ja0, ja1, jb0, jb1);
+  }
+  gemv_int8_pair_tail<M, residual, atomic>(accs, acc_stride, nbp, lane, size_n,
+                                           ia0, ia1, ib0, ib1, ja0, ja1, jb0,
+                                           jb1);
+}
+
+// Smem-staged generic unit: the warp stages its block pair's rows into a
+// warp-private shared memory slice with cp.async (coalesced 16 B chunks, one
+// commit group per row, GEMV_STAGE_D rows deep) and extracts from shared
+// memory. Used for the K where scattered pointer extraction leaves the most
+// load latency exposed (3, 5, 7); warp-private slices need no block-level
+// synchronization.
+template <int bits, int M, bool residual, bool atomic = true>
+__device__ __forceinline__ void gemv_int8_unit_smem(
+    const uint16_t* __restrict__ B, int* __restrict__ accs, size_t acc_stride,
+    const uint32_t* __restrict__ sh_as, int slice_stride,
+    uint32_t* __restrict__ sh_b, int nb256, int kb0, int nrows, int size_n) {
+  constexpr int D = GEMV_STAGE_D;
+  constexpr int pairwords = 16 * bits;
+  constexpr int chunks = pairwords / 4;  // 16 B cp.async chunks per pair row
+  int warp = threadIdx.x >> 5;
+  int lane = threadIdx.x & 31;
+  int nbp = nb256 * 8 + warp;
+  const int row_stride = size_n * bits / 2;
+  const uint32_t* bp =
+      ((const uint32_t*)B) + (size_t)kb0 * row_stride + (size_t)nbp * pairwords;
+  uint32_t* sb = sh_b + warp * (D * pairwords);
+
+  auto stage_row = [&](int kb) {
+    if (kb < nrows && lane < chunks)
+      cp_async(sb + (kb % D) * pairwords + lane * 4,
+               bp + (size_t)kb * row_stride + lane * 4);
+    cp_async_fence();
+  };
+#pragma unroll
+  for (int r = 0; r < D - 1; ++r) stage_row(r);
+
+  int c2 = 2 * (lane & 3);
+  int ia0[M] = {}, ia1[M] = {}, ib0[M] = {}, ib1[M] = {};
+  int ja0[M] = {}, ja1[M] = {}, jb0[M] = {}, jb1[M] = {};
+
+  for (int kb = 0; kb < nrows; ++kb) {
+    cp_async_wait<D - 2>();
+    // Also orders the previous iteration's smem reads (all lanes) before the
+    // overwrite below
+    __syncwarp();
+    stage_row(kb + D - 1);
+
+    const uint32_t* blockA = sb + (kb % D) * pairwords;
+    gemv_int8_pair_row<bits, M, residual>(
+        blockA, blockA + 8 * bits, sh_as + (kb << 4), slice_stride, c2,
+        lane << 3, ia0, ia1, ib0, ib1, ja0, ja1, jb0, jb1);
+  }
+  gemv_int8_pair_tail<M, residual, atomic>(accs, acc_stride, nbp, lane, size_n,
+                                           ia0, ia1, ib0, ib1, ja0, ja1, jb0,
+                                           jb1);
+}
+
+// K values routed to the smem-staged unit (measured on 3090: K=3 -13%; narrow
+// wins for 2/6/8 which are at the ALU floor / DRAM-bound, wide covers 4)
+__host__ __device__ constexpr bool gemv_int8_stage_smem(int bits) {
+  return bits == 3 || bits == 5 || bits == 7;
+}
+
+// Epilogue for one row: affine correction + output Hadamard + svh scale +
+// accumulator reset, striped over all warps of the grid. sh_tmp: 128 floats per
+// warp.
+template <bool c_fp32, bool residual>
+__device__ __forceinline__ void gemv_int8_epilogue(
+    int* __restrict__ accs, void* __restrict__ C_row,
+    const float* __restrict__ qrow, const half* __restrict__ svh,
+    float* __restrict__ sh_tmp, int size_n, float output_scale) {
+  int lane = threadIdx.x & 31;
+  int warps_grid = gridDim.x * NUM_THREADS / 32;
+  int this_warp = threadIdx.x / 32 + NUM_THREADS / 32 * blockIdx.x;
+  float* tmp = sh_tmp + (threadIdx.x / 32) * 128;
+
+  float k_inv = __half2float(__ushort_as_half(0x1eee));
+  float k_bias = __half2float(__ushort_as_half(0xc931));
+  float q = qrow[0];
+  float q2 = q * (1.0f / 254.0f);
+  float suma = q * (float)((const int*)qrow)[1];
+  if constexpr (residual) suma += q2 * (float)((const int*)qrow)[2];
+  float corr = (1024.0f * k_inv + k_bias) * suma;
+
+  int total_chunks = size_n / 128;
+  for (; this_warp < total_chunks; this_warp += warps_grid) {
+    int base = this_warp * 128;
+#pragma unroll
+    for (int i = 0; i < 4; ++i) {
+      int j = lane * 4 + i;
+      float s = q * (float)accs[base + j];
+      accs[base + j] = 0;
+      if constexpr (residual) {
+        s += q2 * (float)accs[size_n + base + j];
+        accs[size_n + base + j] = 0;
+      }
+      tmp[j] = k_inv * s + corr;
+    }
+    __syncwarp();
+    // gridDim.y == 1, so the inner's blockIdx.y-based scale offset is zero;
+    // pre-offset svh
+    if constexpr (c_fp32)
+      had_ff_r_128_inner<false, true>(tmp, ((float*)C_row) + base, svh + base,
+                                      0.088388347648f * output_scale);
+    else
+      had_fh_r_128_inner<false, true>(tmp, ((half*)C_row) + base, svh + base,
+                                      0.088388347648f * output_scale);
+    __syncwarp();
+  }
+}
+
+// ---------------------------------------------------------------------------------------------------------
+// Per-slice-scale ("sq") kernel for m == 1: kills ALL global pre-GEMV
+// coordination. Each k-slice is Hadamard-transformed, maxed and quantized
+// block-locally during staging with its own q_s = slicemax/127 (deterministic,
+// so duplicating blocks agree bit-exactly - and strictly finer quantization
+// than a global q), units write exact per-slice int32 partials with plain
+// stores (exclusive writers - no atomics, no accumulator zeroing), and a
+// per-256-column completion counter gates an inline epilogue that combines
+// sum_s q_s*acc_s in fixed slice order (deterministic) plus the per-slice
+// affine corrections. One REGULAR launch: no cooperative machinery, no
+// grid.sync, no A_had traffic. Same 10 kernel arguments (A_had unused).
+// Workspace layout (fixed offsets so mixed sq/coop calls of any shape can share
+// the buffer):
+//   [counters: SQ_COUNTERS_CAP][{q_s, s1_s, s2_s, pad} x
+//   SQ_KSPLIT_CAP][partials: ksplit x pstride]
+// The coop kernels use the region beyond SQ_WS_RESERVED. Counters are zeroed
+// when the workspace is (re)allocated and reset by the finishing block, so they
+// stay zero between calls.
+
+// Stage one slice for M activation rows: Hadamard from A into sh_ah, slice max
+// -> q_s, splats + exact sums per row. Bit-identical in every block that stages
+// the same slice. Rows >= size_m (padding at M = 4, m = 3) get zero splats and
+// dummy scales.
+template <int M, bool residual>
+__device__ __forceinline__ void gemv_int8_stage_slice(
+    const half* __restrict__ A, int size_m, int size_k,
+    const half* __restrict__ suh,
+    float* __restrict__ qs,  // qsums + 4 * slice * M, rows consecutive,
+                             // published (idempotent)
+    half* __restrict__ sh_ah,
+    uint32_t* __restrict__ sh_as,  // M regions of slice_stride words (+ M more
+                                   // for residual)
+    int slice_stride,
+    float* __restrict__ sh_red,  // 33 floats
+    int kb0, int nrows) {
+  int t = threadIdx.x;
+  int nel = nrows * 16;
+#pragma unroll
+  for (int r = 0; r < M; ++r) {
+    uint32_t* as = sh_as + r * slice_stride;
+    uint32_t* as2 = sh_as + (M + r) * slice_stride;
+    float* qsr = qs + 4 * r;
+    __syncthreads();
+    if (r >= size_m) {
+      for (int i = t; i < nel; i += NUM_THREADS) {
+        as[i] = 0;
+        if constexpr (residual) as2[i] = 0;
+      }
+      if (t == 0) {
+        qsr[0] = 1.0f;
+        ((int*)qsr)[1] = 0;
+        ((int*)qsr)[2] = 0;
+      }
+      continue;
+    }
+    const half* Ar = A + (size_t)r * size_k;
+    for (int sp = t >> 5; sp < (nel >> 7); sp += NUM_THREADS >> 5)
+      had_hf_r_128_inner<true, false>(
+          Ar + (kb0 << 4) + (sp << 7), sh_ah + (sp << 7),
+          suh + (kb0 << 4) + (sp << 7), 0.088388347648f);
+    __syncthreads();
+
+    float mx = 0.0f;
+    for (int i = t; i < nel; i += NUM_THREADS)
+      mx = fmaxf(mx, fabsf(__half2float(sh_ah[i])));
+#pragma unroll
+    for (int o = 16; o > 0; o >>= 1)
+      mx = fmaxf(mx, __shfl_xor_sync(0xffffffff, mx, o));
+    if ((t & 31) == 0) sh_red[t >> 5] = mx;
+    __syncthreads();
+    if (t < 32) {
+      float v = t < (NUM_THREADS >> 5) ? sh_red[t] : 0.0f;
+#pragma unroll
+      for (int o = 16; o > 0; o >>= 1)
+        v = fmaxf(v, __shfl_xor_sync(0xffffffff, v, o));
+      if (t == 0) sh_red[32] = fmaxf(v, 1e-8f) / 127.0f;
+    }
+    __syncthreads();
+    float q_s = sh_red[32];
+
+    float rq = 1.0f / q_s;
+    float rq2 = rq * 254.0f;
+    int l1 = 0, l2 = 0;
+    for (int i = t; i < nel; i += NUM_THREADS) {
+      float a = __half2float(sh_ah[i]);
+      int v = __float2int_rn(a * rq);
+      v = max(-127, min(127, v));
+      as[i] = ((uint32_t)(uint8_t)(int8_t)v) * 0x01010101u;
+      l1 += v;
+      if constexpr (residual) {
+        float rr = a - q_s * (float)v;
+        int v2 = __float2int_rn(rr * rq2);
+        v2 = max(-127, min(127, v2));
+        as2[i] = ((uint32_t)(uint8_t)(int8_t)v2) * 0x01010101u;
+        l2 += v2;
+      }
+    }
+#pragma unroll
+    for (int o = 16; o > 0; o >>= 1) {
+      l1 += __shfl_xor_sync(0xffffffff, l1, o);
+      l2 += __shfl_xor_sync(0xffffffff, l2, o);
+    }
+    if ((t & 31) == 0) {
+      ((int*)sh_red)[t >> 5] = l1;
+      sh_red[16 + (t >> 5)] = __int_as_float(l2);
+    }
+    __syncthreads();
+    if (t < 32) {
+      int v1 = t < (NUM_THREADS >> 5) ? ((int*)sh_red)[t] : 0;
+      int v2 = t < (NUM_THREADS >> 5) ? __float_as_int(sh_red[16 + t]) : 0;
+#pragma unroll
+      for (int o = 16; o > 0; o >>= 1) {
+        v1 += __shfl_xor_sync(0xffffffff, v1, o);
+        v2 += __shfl_xor_sync(0xffffffff, v2, o);
+      }
+      if (t == 0) {
+        qsr[0] = sh_red[32];
+        ((int*)qsr)[1] = v1;
+        ((int*)qsr)[2] = v2;
+      }
+    }
+  }
+  __syncthreads();
+}
+
+// Epilogue for one 256-column group: deterministic fixed-order combine over the
+// per-slice partials, warp per (row, 128-span). Reads bypass L1 (__ldcg): the
+// contributions arrived from other blocks with no grid-wide barrier.
+template <int M, bool c_fp32, bool residual>
+__device__ __forceinline__ void gemv_int8_epilogue_group_sq(
+    const int* __restrict__ partials, const float* __restrict__ qsums,
+    int pstride, int ksplit, int size_m, void* __restrict__ C,
+    const half* __restrict__ svh, float* __restrict__ sh_tmp, int nb256,
+    int size_n) {
+  int warp = threadIdx.x >> 5;
+  int lane = threadIdx.x & 31;
+  int row = warp >> 1;
+  if (warp >= 2 * M || row >= size_m) return;
+  float k_inv = __half2float(__ushort_as_half(0x1eee));
+  float k_bias = __half2float(__ushort_as_half(0xc931));
+  float aff = 1024.0f * k_inv + k_bias;
+
+  int base = nb256 * 256 + (warp & 1) * 128;
+  float* tmp = sh_tmp + warp * 128;
+  float acc[4] = {};
+  float corr = 0.0f;
+  for (int sl = 0; sl < ksplit; ++sl) {
+    int idx = sl * M + row;
+    float q_s = qsums[4 * idx];
+    float suma = q_s * (float)((const int*)qsums)[4 * idx + 1];
+    const int* p = partials + (size_t)idx * pstride + base;
+#pragma unroll
+    for (int i = 0; i < 4; ++i) acc[i] += q_s * (float)__ldcg(p + lane * 4 + i);
+    if constexpr (residual) {
+      float q2_s = q_s * (1.0f / 254.0f);
+      suma += q2_s * (float)((const int*)qsums)[4 * idx + 2];
+#pragma unroll
+      for (int i = 0; i < 4; ++i)
+        acc[i] += q2_s * (float)__ldcg(p + size_n + lane * 4 + i);
+    }
+    corr += aff * suma;
+  }
+#pragma unroll
+  for (int i = 0; i < 4; ++i) tmp[lane * 4 + i] = k_inv * acc[i] + corr;
+  __syncwarp();
+  if constexpr (c_fp32)
+    had_ff_r_128_inner<false, true>(tmp,
+                                    ((float*)C) + (size_t)row * size_n + base,
+                                    svh + base, 0.088388347648f);
+  else
+    had_fh_r_128_inner<false, true>(tmp,
+                                    ((half*)C) + (size_t)row * size_n + base,
+                                    svh + base, 0.088388347648f);
+}
+
+// Shared-memory cap for the sq decomposition: row halfs (32 B/row) + M splat
+// regions (64 B/row each, x2 residual), within ~80 KB so the stage region and
+// epilogue staging still fit under the opt-in max
+__host__ __device__ constexpr int gemv_int8_sq_rows_max(int M, bool residual) {
+  int cap = (80 * 1024) / (32 + 64 * M * (residual ? 2 : 1));
+  cap &= ~7;
+  return cap < SQ_ROWS_MAX ? cap : SQ_ROWS_MAX;
+}
+
+template <int bits, int M, bool c_fp32, bool residual>
+__global__ __launch_bounds__(NUM_THREADS) void exl3_gemv_int8_sq_kernel(
+    const half* __restrict__ A, const uint16_t* __restrict__ B,
+    void* __restrict__ C,
+    const int size_m,  // 1 <= size_m <= M
+    const int size_k, const int size_n, int* __restrict__ locks,
+    const half* __restrict__ suh, half* __restrict__ A_had,
+    const half* __restrict__ svh) {
+  extern __shared__ uint32_t shmem[];
+
+  // Work decomposition: rows_per multiple of 8 (whole 128-spans for the local
+  // Hadamard); the host mirrors this for the shared memory size and workspace
+  // bound. Swept on 3090: the wall time is ~one unit's duration as long as all
+  // (slice x 256-column) units fit in one wave of the grid, so take the
+  // smallest slice height with units <= gridDim.x - but at least half-wave
+  // occupancy up to 32 rows, since very short slices inflate ksplit and the
+  // epilogue's serial per-slice combine
+  int rows_total = size_k >> 4;
+  int nb256_total = size_n / 256;
+  int r = CEIL_DIVIDE(rows_total * nb256_total, (int)gridDim.x);
+  int rows_per = (MAX(r, MIN(2 * r, 32)) + 7) & ~7;
+  rows_per = MAX(rows_per, SQ_MINROWS);
+  rows_per = MIN(rows_per, gemv_int8_sq_rows_max(M, residual));
+  rows_per = MIN(rows_per, (rows_total + 7) & ~7);
+  int ksplit = CEIL_DIVIDE(rows_total, rows_per);
+  int units = nb256_total * ksplit;
+  int slice_stride = rows_per * 16;
+  int pstride = size_n * (residual ? 2 : 1);
+
+  int* counters = locks;
+  float* qsums = (float*)(locks + SQ_COUNTERS_CAP);
+  int* partials = locks + SQ_WS_RESERVED;
+
+  // Shared layout: [slice halfs][M x splats (+ M x residual splats)][B
+  // stage][epilogue tmp]
+  half* sh_ah = (half*)shmem;
+  uint32_t* sh_as = shmem + rows_per * 8;
+  uint32_t* sh_b = sh_as + slice_stride * M * (residual ? 2 : 1);
+  float* sh_tmp =
+      (float*)(sh_b +
+               (gemv_int8_stage_smem(bits) ? 8 * GEMV_STAGE_D * 16 * bits : 0));
+  __shared__ float sh_red[33];
+  __shared__ int sh_last;
+
+  int t = threadIdx.x;
+  int prev_slice = -1;
+  for (int unit = blockIdx.x; unit < units; unit += gridDim.x) {
+    int slice = unit / nb256_total;
+    int nb256 = unit % nb256_total;
+    int kb0 = slice * rows_per;
+    int nrows = MIN(rows_per, rows_total - kb0);
+    if (slice != prev_slice) {
+      gemv_int8_stage_slice<M, residual>(A, size_m, size_k, suh,
+                                         qsums + 4 * slice * M, sh_ah, sh_as,
+                                         slice_stride, sh_red, kb0, nrows);
+      prev_slice = slice;
+    }
+    int* pacc = partials + (size_t)slice * M * pstride;
+    if constexpr (bits == 4)
+      gemv_int8_unit_wide<M, residual, false>(
+          B, pacc, pstride, sh_as, slice_stride, nb256, kb0, nrows, size_n);
+    else if constexpr (gemv_int8_stage_smem(bits))
+      gemv_int8_unit_smem<bits, M, residual, false>(B, pacc, pstride, sh_as,
+                                                    slice_stride, sh_b, nb256,
+                                                    kb0, nrows, size_n);
+    else
+      gemv_int8_unit_narrow<bits, M, residual, false>(
+          B, pacc, pstride, sh_as, slice_stride, nb256, kb0, nrows, size_n);
+
+    // Completion counter: the ksplit-th contributor runs the epilogue for this
+    // 256-column group. (sh_last reuse across iterations is ordered by the next
+    // iteration's __syncthreads.)
+    __threadfence();
+    __syncthreads();
+    if (t == 0)
+      sh_last = (atomicAdd(&counters[nb256], 1) == ksplit - 1) ? 1 : 0;
+    __syncthreads();
+    if (sh_last) {
+      gemv_int8_epilogue_group_sq<M, c_fp32, residual>(partials, qsums, pstride,
+                                                       ksplit, size_m, C, svh,
+                                                       sh_tmp, nb256, size_n);
+      if (t == 0) counters[nb256] = 0;
+    }
+  }
+}
+
+// ---------------------------------------------------------------------------------------------------------
+// Cooperative kernel: same argument list as exl3_gemm_kernel
+
+template <int bits, bool c_fp32, bool residual>
+__global__ __launch_bounds__(NUM_THREADS) void exl3_gemv_int8_coop_kernel(
+    const half* __restrict__ A, const uint16_t* __restrict__ B,
+    void* __restrict__ C, const int size_m, const int size_k, const int size_n,
+    int* __restrict__ locks, const half* __restrict__ suh,
+    half* __restrict__ A_had, const half* __restrict__ svh) {
+  auto grid = cg_gemv::this_grid();
+  extern __shared__ uint32_t shmem[];
+
+  int* accs = locks;
+  float* qsums = (float*)(locks + 2 * size_n);
+  float* partial_max = qsums + 4 * size_m;  // [gridDim.x], m == 1 fast path
+
+  // Phase 1a: input Hadamard (as in exl3_gemm_kernel) + zero the accumulators.
+  // For m == 1, also track a per-block partial max of the transformed
+  // activations.
+  {
+    __shared__ float sh_m[32];
+    int total_warps = size_m * size_k / 128;
+    int warps_grid = gridDim.x * NUM_THREADS / 32;
+    int this_warp = threadIdx.x / 32 + NUM_THREADS / 32 * blockIdx.x;
+    int lane = threadIdx.x & 31;
+    float mx = 0.0f;
+    for (; this_warp < total_warps; this_warp += warps_grid) {
+      had_hf_r_128_inner<true, false>(
+          A + this_warp * 128, A_had + this_warp * 128,
+          suh + (this_warp * 128) % size_k, 0.088388347648f);
+      if (size_m == 1) {
+        __syncwarp();
+        const half2* h2 = (const half2*)(A_had + this_warp * 128);
+#pragma unroll
+        for (int i = 0; i < 2; ++i) {
+          half2 v = h2[lane * 2 + i];
+          mx = fmaxf(mx, fabsf(__half2float(__low2half(v))));
+          mx = fmaxf(mx, fabsf(__half2float(__high2half(v))));
+        }
+      }
+    }
+    if (size_m == 1) {
+#pragma unroll
+      for (int o = 16; o > 0; o >>= 1)
+        mx = fmaxf(mx, __shfl_xor_sync(0xffffffff, mx, o));
+      if (lane == 0) sh_m[threadIdx.x >> 5] = mx;
+      __syncthreads();
+      if (threadIdx.x < 32) {
+        float v = threadIdx.x < (NUM_THREADS >> 5) ? sh_m[threadIdx.x] : 0.0f;
+#pragma unroll
+        for (int o = 16; o > 0; o >>= 1)
+          v = fmaxf(v, __shfl_xor_sync(0xffffffff, v, o));
+        if (threadIdx.x == 0) partial_max[blockIdx.x] = v;
+      }
+    }
+    int tg = blockIdx.x * NUM_THREADS + threadIdx.x;
+    for (int i = tg; i < 2 * size_n; i += gridDim.x * NUM_THREADS) accs[i] = 0;
+  }
+  grid.sync();
+
+  // Phase 1b (m > 1 only): per-row activation scale and exact sums
+  if (size_m > 1) {
+    __shared__ float sh_r[33];
+    for (int row = blockIdx.x; row < size_m; row += gridDim.x) {
+      const half* Ar = A_had + (size_t)row * size_k;
+      int t = threadIdx.x;
+      float mx = 0.0f;
+      for (int i = t; i < size_k; i += NUM_THREADS)
+        mx = fmaxf(mx, fabsf(__half2float(Ar[i])));
+#pragma unroll
+      for (int o = 16; o > 0; o >>= 1)
+        mx = fmaxf(mx, __shfl_xor_sync(0xffffffff, mx, o));
+      if ((t & 31) == 0) sh_r[t >> 5] = mx;
+      __syncthreads();
+      if (t < 32) {
+        float v = t < (NUM_THREADS >> 5) ? sh_r[t] : 0.0f;
+#pragma unroll
+        for (int o = 16; o > 0; o >>= 1)
+          v = fmaxf(v, __shfl_xor_sync(0xffffffff, v, o));
+        if (t == 0) sh_r[32] = fmaxf(v, 1e-8f) / 127.0f;
+      }
+      __syncthreads();
+      gemv_int8_row_sums<residual>(Ar, sh_r[32], size_k, qsums + 4 * row);
+    }
+    grid.sync();
+  }
+
+  // Work decomposition for phase 2 (host must mirror this for the shared memory
+  // size). Units are 256 columns (warp per adjacent block pair) x k-slice;
+  // fine-grained (~4 per block) because with grid.sync at the end of the phase,
+  // tail imbalance stalls the whole grid.
+  int rows_total = size_k >> 4;
+  int nb256_total = size_n / 256;
+  int smem_rows_max = residual ? 384 : 768;
+  int ksplit = CEIL_DIVIDE(4 * gridDim.x, nb256_total);
+  ksplit = MAX(ksplit, CEIL_DIVIDE(rows_total, smem_rows_max));
+  ksplit = MIN(ksplit, rows_total);
+  int rows_per = CEIL_DIVIDE(rows_total, ksplit);
+  int units = nb256_total * ksplit;
+
+  uint32_t* sh_as = shmem;
+  uint32_t* sh_as2 = shmem + rows_per * 16;
+  uint32_t* sh_b =
+      shmem + rows_per * 16 * (residual ? 2 : 1);  // smem-staged unit region
+
+  __shared__ float sh_q[33];
+
+  for (int row = 0; row < size_m; ++row) {
+    const half* Ar = A_had + (size_t)row * size_k;
+    const float* qrow = qsums + 4 * row;
+
+    // Row scale: for m == 1, derived from the phase-1a partial maxes
+    // (deterministic: fmax is order-independent). Block 0 also computes the
+    // exact sums for the epilogue, concurrently with the other blocks' GEMV
+    // work.
+    float q_row;
+    if (size_m == 1) {
+      float v = 0.0f;
+      for (int i = threadIdx.x; i < gridDim.x; i += NUM_THREADS)
+        v = fmaxf(v, partial_max[i]);
+#pragma unroll
+      for (int o = 16; o > 0; o >>= 1)
+        v = fmaxf(v, __shfl_xor_sync(0xffffffff, v, o));
+      if ((threadIdx.x & 31) == 0) sh_q[threadIdx.x >> 5] = v;
+      __syncthreads();
+      if (threadIdx.x < 32) {
+        float w = threadIdx.x < (NUM_THREADS >> 5) ? sh_q[threadIdx.x] : 0.0f;
+#pragma unroll
+        for (int o = 16; o > 0; o >>= 1)
+          w = fmaxf(w, __shfl_xor_sync(0xffffffff, w, o));
+        if (threadIdx.x == 0) sh_q[32] = fmaxf(w, 1e-8f) / 127.0f;
+      }
+      __syncthreads();
+      q_row = sh_q[32];
+      if (blockIdx.x == 0)
+        gemv_int8_row_sums<residual>(Ar, q_row, size_k, qsums);
+    } else
+      q_row = qrow[0];
+
+    // Phase 2: GEMV over (nb256, k-slice) units, splats quantized inline during
+    // smem staging
+    int prev_slice = -1;
+    for (int unit = blockIdx.x; unit < units; unit += gridDim.x) {
+      int slice = unit / nb256_total;
+      int nb256 = unit % nb256_total;
+      int kb0 = slice * rows_per;
+      int nrows = MIN(rows_per, rows_total - kb0);
+      if (slice != prev_slice) {
+        gemv_int8_stage_splats<residual>(Ar, q_row, sh_as, sh_as2, kb0, nrows);
+        prev_slice = slice;
+      }
+      if constexpr (bits == 4)
+        gemv_int8_unit_wide<1, residual>(B, accs, 0, sh_as, rows_per * 16,
+                                         nb256, kb0, nrows, size_n);
+      else if constexpr (gemv_int8_stage_smem(bits))
+        gemv_int8_unit_smem<bits, 1, residual>(B, accs, 0, sh_as, rows_per * 16,
+                                               sh_b, nb256, kb0, nrows, size_n);
+      else
+        gemv_int8_unit_narrow<bits, 1, residual>(
+            B, accs, 0, sh_as, rows_per * 16, nb256, kb0, nrows, size_n);
+    }
+    grid.sync();
+
+    // Phase 3: epilogue + output Hadamard (shared memory reused as per-warp
+    // staging)
+    void* C_row = c_fp32 ? (void*)(((float*)C) + (size_t)row * size_n)
+                         : (void*)(((half*)C) + (size_t)row * size_n);
+    gemv_int8_epilogue<c_fp32, residual>(accs, C_row, qrow, svh, (float*)shmem,
+                                         size_n, 1.0f);
+
+    if (row + 1 < size_m) grid.sync();
+  }
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv_kernel.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv_kernel.cuh
index 8895739661..88af0102c0 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv_kernel.cuh
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_gemv_kernel.cuh
@@ -1,327 +1,394 @@
 #pragma once
 
-#define TILESIZE_M 8
-#define TILESIZE_K 512
-#define TILESIZE_N 32
-
+// Small-m GEMV path for the EXL3 GEMM, QTIP-style structure (see
+// Cornell-RelaxML/qtip, qtip-kernels/src/inference.cu) on the unmodified EXL3
+// format:
+//
+// - warps split k and never synchronize during the main loop: no block-wide
+// pipeline barriers;
+//   B streams straight to registers with ld.global.cs (evict-first; B is
+//   single-use) behind a register prefetch ring
+// - the two-word bit windows of the trellis stream are resolved in-warp: with
+// SMEM_STAGE = false
+//   via lane shuffles (the extraction helpers in exl3_dq.cuh read exactly two
+//   words per lane, at lane-computable indices), with SMEM_STAGE = true by
+//   staging the tile words through warp-private shared memory and calling the
+//   standard dq_dispatch
+// - one m16n8k16 MMA pair per 16x16 weight tile with fp16 accumulation, folded
+// to fp32 on a fixed
+//   cadence; per-block cross-warp reduction over the k splits through shared
+//   memory
+//
+// Same launch signature as exl3_gemm_kernel so kernel args and graph parameter
+// patching are interchangeable. Cooperative launch: one grid.sync after the
+// input Hadamard stage and one before the output stage, no other cross-block
+// coordination. 2, 3 and 4 bpw.
+//
+// CFG 0 ("narrow", 512 threads, 2 n-tiles/warp, 16 k-splits) wins at
+// attention-projection sizes; CFG 1 ("wide", 256 threads, 4 n-tiles/warp, 8
+// k-splits) wins at large-n FFN sizes. MMODE 0 is the m == 1 fast path, MMODE 1
+// covers 2 <= m <= 8 with row-guarded fragment loads.
+
+#include <cooperative_groups.h>
 #include "../ptx.cuh"
 #include "exl3_dq.cuh"
+#include "exl3_kernel_map.cuh"
+#include "hadamard_inner.cuh"
+
+#define EXL3_GEMV_MAX_M 8
+
+namespace exl3_gemv_ns {
+
+// mma.m16n8k16 with the A operand supplied as two FragB halves, fp16 accumulate
+__device__ __forceinline__ void mma_ab_h(const FragB& a01, const FragB& a23,
+                                         const FragB& b, FragC_h& c) {
+  const uint32_t* a0 = reinterpret_cast<const uint32_t*>(&a01);
+  const uint32_t* a1 = reinterpret_cast<const uint32_t*>(&a23);
+  const uint32_t* bb = reinterpret_cast<const uint32_t*>(&b);
+  uint32_t* cc = reinterpret_cast<uint32_t*>(&c);
+  asm("mma.sync.aligned.m16n8k16.row.col.f16.f16.f16.f16 "
+      "{%0,%1}, {%2,%3,%4,%5}, {%6,%7}, {%0,%1};\n"
+      : "+r"(cc[0]), "+r"(cc[1])
+      : "r"(a0[0]), "r"(a0[1]), "r"(a1[0]), "r"(a1[1]), "r"(bb[0]), "r"(bb[1]));
+}
 
-using FragA_m8 = Vec<half2, 2>;  // {a0, a1, a2, a3} aliased to {a0, a0, a1, a1}
-using FragC_m8 = Vec<float, 3>;  // {c0, c1, c2, c3} aliased to {c0, c1, c2}
+// mul1 codebook pair decode via dp4a byte sum (bit-identical to the vabsdiff4
+// form)
+__device__ __forceinline__ half2 decode_pair_cb2_dp4a_(uint32_t x0,
+                                                       uint32_t x1) {
+  x0 *= 0x83DCD12Du;
+  x1 *= 0x83DCD12Du;
+  uint32_t sum0 = __dp4a(x0, 0x01010101u, 0x6400u);
+  uint32_t sum1 = __dp4a(x1, 0x01010101u, 0x6400u);
+  half2 k_inv_h2 = __half2half2(__ushort_as_half(0x1eee));
+  half2 k_bias_h2 = __half2half2(__ushort_as_half(0xc931));
+  half_uint16 h0((uint16_t)sum0);
+  half_uint16 h1((uint16_t)sum1);
+  return __hfma2(__halves2half2(h0.as_half, h1.as_half), k_inv_h2, k_bias_h2);
+}
 
-// frag_c (FP32, m16n16) += frag_a (FP16, m8k16) @ frag_b (FP16, k16n16)
-// FP16 @ FP16 + FP32 -> FP32
-__device__ inline void ptx_mma_m8n8k16(const FragA_m8& frag_a,
-                                       const FragB& frag_b, FragC_m8& frag_c) {
-  const uint32_t* a = reinterpret_cast<const uint32_t*>(&frag_a);
-  const uint32_t* b = reinterpret_cast<const uint32_t*>(&frag_b);
-  float* c = reinterpret_cast<float*>(&frag_c);
+template <int cb>
+__device__ __forceinline__ void decode8(uint32_t w0, uint32_t w1, uint32_t w2,
+                                        uint32_t w3, uint32_t w4, uint32_t w5,
+                                        uint32_t w6, uint32_t w7, FragB& f0,
+                                        FragB& f1) {
+  if constexpr (cb == 2) {
+    f0[0] = decode_pair_cb2_dp4a_(w0, w1);
+    f0[1] = decode_pair_cb2_dp4a_(w2, w3);
+    f1[0] = decode_pair_cb2_dp4a_(w4, w5);
+    f1[1] = decode_pair_cb2_dp4a_(w6, w7);
+  } else {
+    f0[0] = decode_3inst_2<cb>(w0, w1);
+    f0[1] = decode_3inst_2<cb>(w2, w3);
+    f1[0] = decode_3inst_2<cb>(w4, w5);
+    f1[1] = decode_3inst_2<cb>(w6, w7);
+  }
+}
 
-  asm("mma.sync.aligned.m16n8k16.row.col.f32.f16.f16.f32 "
-      "{%0,%1,%2,%2}, {%3,%3,%4,%4}, {%5,%6}, {%0,%1,%2,%3};\n"
+// Window extraction from two already-loaded words, same order as
+// dq8_aligned_4bits
+template <int cb>
+__device__ __forceinline__ void dq8_regs_4bits(uint32_t a, uint32_t b,
+                                               FragB& f0, FragB& f1) {
+  uint32_t s, w0, w1, w2, w3, w4, w5, w6, w7;
+  FSHF_IMM(s, b, a, 20);
+  w7 = b & 0xffff;
+  BFE16_IMM(w6, b, 4);
+  BFE16_IMM(w5, b, 8);
+  BFE16_IMM(w4, b, 12);
+  BFE16_IMM(w3, b, 16);
+  w2 = s & 0xffff;
+  BFE16_IMM(w1, s, 4);
+  BFE16_IMM(w0, s, 8);
+  decode8<cb>(w0, w1, w2, w3, w4, w5, w6, w7, f0, f1);
+}
 
-      : "+f"(c[0]), "+f"(c[1]),
-        "+f"(c[2])  // Todo: try to alias into m8 fragment
-      : "r"(a[0]), "r"(a[1]), "r"(b[0]), "r"(b[1]));
+// Register form of dq8_aligned_2bits: the two words and the funnel shift are
+// lane-dependent
+template <int cb>
+__device__ __forceinline__ void dq8_regs_2bits(uint32_t a, uint32_t b,
+                                               int t_offset, FragB& f0,
+                                               FragB& f1) {
+  uint32_t w0, w1, w2, w3, w4, w5, w6, w7;
+  b = fshift(b, a, ((~t_offset) & 8) << 1);
+  w7 = b & 0xffff;
+  BFE16_IMM(w6, b, 2);
+  BFE16_IMM(w5, b, 4);
+  BFE16_IMM(w4, b, 6);
+  BFE16_IMM(w3, b, 8);
+  BFE16_IMM(w2, b, 10);
+  BFE16_IMM(w1, b, 12);
+  BFE16_IMM(w0, b, 14);
+  decode8<cb>(w0, w1, w2, w3, w4, w5, w6, w7, f0, f1);
 }
 
-__device__ inline float2 shfl_float2(float2 v, int src, int width) {
-  return make_float2(__shfl_sync(0xffffffff, v.x, src, width),
-                     __shfl_sync(0xffffffff, v.y, src, width));
+// Register form of dq8<3, cb, 4> with the per-lane funnel alignment precomputed
+template <int cb>
+__device__ __forceinline__ void dq8_regs_3bits(uint32_t a, uint32_t b, int s2,
+                                               FragB& f0, FragB& f1) {
+  uint32_t w0, w1, w2, w3, w4, w5, w6, w7;
+  w7 = fshift(b, a, s2);
+  w6 = w7 >> 3;
+  w5 = w6 >> 3;
+  w4 = w5 >> 3;
+  w3 = fshift(b, a, s2 + 12);
+  w2 = w3 >> 3;
+  w1 = w2 >> 3;
+  w0 = w1 >> 3;
+  decode8<cb>(w0 & 0xffff, w1 & 0xffff, w2 & 0xffff, w3 & 0xffff, w4 & 0xffff,
+              w5 & 0xffff, w6 & 0xffff, w7 & 0xffff, f0, f1);
 }
 
-template <int bits, bool c_fp32, int cb, int split_k>
-__global__ __launch_bounds__(32 * TILESIZE_K / 16 * 1) void exl3_gemv_kernel(
-    const half* __restrict__ A, const uint16_t* __restrict__ B,
-    void* __restrict__ C, const int __grid_constant__ size_m,
-    const int __grid_constant__ size_k, const int __grid_constant__ size_n
-    //    const half* __restrict__ suh,
-    //    half* __restrict__ A_had,
-    //    const half* __restrict__ svh,
-) {
-  const int num_stages = 2;
-
-  // TB covers TILESIZE_M/K/N elements (M == 8, K and N are multiples of 16.)
-  // block: (32, TILESIZE_N / 16, TILESIZE_K / 16)
-  // grid: (size_k / TILESIZE_K, size_n / TILESIZE_N)
-  const int ts = 32 * TILESIZE_K / 16 * TILESIZE_N / 16;
-  int t = threadIdx.x + (threadIdx.y + threadIdx.z * blockDim.y) * blockDim.x;
-  int lane_id = threadIdx.x;  // & 31;
-
-  // int k_slice = blockIdx.z;
-
-  const int blocks_n = TILESIZE_N / 16;
-  const int blocks_k = TILESIZE_K / 16;
-  const int tiles_n = size_n / TILESIZE_N;
-  const int tiles_k = size_k / TILESIZE_K;
-  const int tiles_k_slice = tiles_k / split_k;
-
-  const size_t str_A_gl_row = size_k * 2;         // A global: row stride, M
-  const size_t str_A_gl_block_k = 32;             // A global: block stride, K
-  const size_t str_A_gl_tile_k = TILESIZE_K * 2;  // A global: tile stride, K
-
-  const size_t str_B_gl_block_n = 256 * bits / 8;  // B global: block stride, N
-  const size_t str_B_gl_block_k =
-      str_B_gl_block_n * (size_n / 16);  // B global: block stride, K
-  const size_t str_B_gl_tile_n =
-      str_B_gl_block_n * blocks_n;  // B global: tile stride, N
-  const size_t str_B_gl_tile_k =
-      str_B_gl_block_k * blocks_k;  // B global: tile stride, K
-
-  const size_t str_B_sh_block_n =
-      str_B_gl_block_n;  // B shared: block stride, N
-  const size_t str_B_sh_block_k =
-      str_B_sh_block_n * blocks_n;                  // B shared: block stride, K
-  const size_t str_B_sh_tile_n = str_B_sh_block_k;  // B shared: tile stride, N
-  const size_t str_B_sh_tile =
-      str_B_sh_block_k * blocks_k;  // B shared: tile size
-
-  constexpr int c_esize = c_fp32 ? 4 : 2;
-  const size_t str_C_gl_row = size_n * c_esize;  // C global: row stride, M
-  const size_t str_C_gl_block_n = 16 * c_esize;  // C global: block stride, N
-  const size_t str_C_gl_tile_n =
-      TILESIZE_N * c_esize;  // C global: tile stride, N
-
-  // const int block_n = threadIdx.y;
-  const int block_k = threadIdx.z;
-  // const int tile_k = blockIdx.x;
-  const int tile_n = blockIdx.y;
-
-  uint8_t* A_gl_tile;
-  uint8_t* B_gl_tile;
-  uint8_t* C_gl_tile;
-  uint8_t* A_gl_block;
-  uint8_t* C_gl_block;
-  uint8_t* B_sh_block;
-  uint8_t* B_gl_block;
-
-  // Tile buffer
-  constexpr int bsh0 = num_stages ? num_stages : 1;
-  constexpr int bsh1 = num_stages ? str_B_sh_tile : 32;
-  __shared__ uint8_t B_sh_tile[bsh0][bsh1];
-  __shared__ float C_sh_red[MAX(blocks_k / 2, 1)][blocks_n][128];
-
-  // Fragments
-  register FragA_m8 frag_a;
-  register FragB frag_b[blocks_n][2];
-  register FragC_m8 frag_c[blocks_n][2];
-#pragma unroll
-  for (int block_n = 0; block_n < blocks_n; ++block_n) {
-    frag_c[block_n][0] = {};
-    frag_c[block_n][1] = {};
+}  // namespace exl3_gemv_ns
+
+template <int bits, bool c_fp32, int cb, int MMODE, int CFG, bool SMEM_STAGE>
+__global__ __launch_bounds__(CFG == 0
+                                 ? 512
+                                 : 256) void exl3_gemv_kernel(EXL3_GEMM_ARGS) {
+  static_assert(bits == 2 || bits == 3 || bits == 4,
+                "exl3_gemv_kernel supports 2, 3 and 4 bpw");
+  constexpr int WK = CFG == 0 ? 16 : 8;           // k-split (warps per block)
+  constexpr int WARP_N_TILES = CFG == 0 ? 2 : 4;  // adjacent n-tiles per warp
+  constexpr int PF = CFG == 0 ? 4 : 2;            // prefetch ring depth
+  constexpr int FOLD =
+      CFG == 0 ? 4 : 2;  // fp16->fp32 fold cadence (divides PF)
+  constexpr int THREADS = WK * 32;
+  constexpr int ROWS = MMODE == 0 ? 1 : EXL3_GEMV_MAX_M;
+  constexpr int COLS = WARP_N_TILES * 16;
+
+  constexpr int TILE_WORDS = 8 * bits;  // uint32 per 16x16 tile
+  constexpr int LOADS =
+      bits == 2 ? WARP_N_TILES / 2 : WARP_N_TILES;  // warp loads per k-slice
+  constexpr int LSTRIDE = bits == 3 ? 24 : 32;      // uint32 per load
+  static_assert(bits != 2 || WARP_N_TILES % 2 == 0,
+                "2 bpw packs two tiles per warp load");
+
+  auto grid = cooperative_groups::this_grid();
+
+  // Input scales and Hadamard transform, same as exl3_gemm_kernel
+  {
+    int total_warps = size_m * size_k / 128;
+    int warps_grid = gridDim.x * blockDim.x / 32;
+    int this_warp = threadIdx.x / 32 + blockDim.x / 32 * blockIdx.x;
+
+    for (; this_warp < total_warps; this_warp += warps_grid)
+      had_hf_r_128_inner<true, false>(A + this_warp * 128,
+                                      A_had + this_warp * 128,
+                                      suh + (this_warp * 128) % size_k,
+                                      0.088388347648f  // 1/sqrt(128)
+      );
+
+    grid.sync();
+    A = A_had;
   }
 
-  // Load A fragment from global (warp)
-  auto load_gl2fr_a = [&]() {
-    int frag_row = lane_id >> 2;
-    int frag_col = lane_id & 3;
-    if (frag_row < size_m) {
-      half2* lda = (half2*)(A_gl_block + str_A_gl_row * frag_row);
-      frag_a[0] = lda[frag_col];
-      frag_a[1] = lda[frag_col + 4];
-    }
-  };
+  const int warp = threadIdx.x / 32;
+  const int lane = threadIdx.x % 32;
+
+  const int ntiles = size_n / 16;
+  const int kslices = size_k / 16;
+  const int num_groups = size_n / COLS;
+
+  const int chunk = CEIL_DIVIDE(kslices, WK);
+  const int ks0 = warp * chunk;
+  const int myn = max(0, min(chunk, kslices - ks0));
+
+  const uint32_t* B32 = (const uint32_t*)B;
+  const size_t slice_stride =
+      (size_t)ntiles * TILE_WORDS;  // uint32 per k-slice row
+  const half2* A2 = (const half2*)A;
+  const half2 hzero = __half2half2(__ushort_as_half(0));
+
+  // A fragment row indices for this lane
+  const int r0 = lane >> 2;
+  const size_t a_row0 = (size_t)r0 * (size_k / 2);
+  const bool r0_ok = MMODE == 0 ? lane < 4 : r0 < size_m;
+
+  // Per-lane extraction constants (see dq8_aligned_2bits / dq8<3, cb, 4> in
+  // exl3_dq.cuh)
+  [[maybe_unused]] int x_src_a = 0, x_src_b = 0, x_s2 = 0;
+  if constexpr (bits == 2) {
+    int i1 = lane >> 1;
+    x_src_b = i1;
+    x_src_a = (i1 + 15) & 15;
+  }
+  if constexpr (bits == 3) {
+    int t_offset = lane << 3;
+    int b1 = (t_offset + 257) * 3;
+    int b2 = b1 + 21;
+    int i0 = (b1 - 16) / 32;
+    int i2 = (b2 - 1) / 32;
+    x_s2 = (i2 + 1) * 32 - b2;
+    x_src_a = i0 % 24;
+    x_src_b = i2 % 24;
+  }
+
+  __shared__ float sh_red[WK][ROWS][COLS];
+  [[maybe_unused]] __shared__ uint32_t
+      sh_stage[SMEM_STAGE ? WK : 1][SMEM_STAGE ? LOADS * LSTRIDE : 1];
+
+  for (int group = blockIdx.x; group < num_groups; group += gridDim.x) {
+    const uint32_t* bp = B32 + (size_t)ks0 * slice_stride +
+                         group * WARP_N_TILES * TILE_WORDS + lane;
 
-  // Load B shared tile from global (across warps)
-  auto load_gl2sh_b = [&](int buffer, bool pred) {
-    if (pred) {
-      uint4* src = (uint4*)B_gl_tile;
-      uint4* dst = (uint4*)B_sh_tile[buffer];
+    // Prefetch ring (indices must be compile-time or pf lands in local memory)
+    auto ld_b = [&](int i, int l) -> uint32_t {
+      if constexpr (bits == 3)
+        return lane < 24 ? __ldcs(bp + (size_t)i * slice_stride + l * LSTRIDE)
+                         : 0;
+      else
+        return __ldcs(bp + (size_t)i * slice_stride + l * LSTRIDE);
+    };
+
+    uint32_t pf[PF][LOADS];
 #pragma unroll
-      for (int i = t; i < str_B_sh_tile / 16; i += ts) {
-        int x = i % (str_B_sh_tile_n / 16);
-        int y = i / (str_B_sh_tile_n / 16);
-        cp_async(dst + i, src + y * (str_B_gl_tile_n / 16 * tiles_n) + x);
-      }
-    }
+    for (int d = 0; d < PF; ++d)
+      if (d < myn)
+#pragma unroll
+        for (int l = 0; l < LOADS; ++l) pf[d][l] = ld_b(d, l);
 
-    // Fence here to ensure number of fences matches number of waits
-    cp_async_fence();
-  };
-
-  // Load B fragment from shared tile in warp
-  auto load_sh2fr_b = [&](int block_n) {
-    dq_dispatch<bits, cb>((uint32_t*)B_sh_block, lane_id << 3,
-                          frag_b[block_n][0], frag_b[block_n][1]);
-  };
-
-  // Load B fragment from gmem tile in warp
-  auto load_gl2fr_b = [&](int block_n) {
-    dq_dispatch<bits, cb>((uint32_t*)B_gl_block, lane_id << 3,
-                          frag_b[block_n][0], frag_b[block_n][1]);
-  };
-
-  // Perform matmul in current warp
-  auto matmul = [&](int block_n) {
-    ptx_mma_m8n8k16(frag_a, frag_b[block_n][0], frag_c[block_n][0]);
-    ptx_mma_m8n8k16(frag_a, frag_b[block_n][1], frag_c[block_n][1]);
-  };
-
-  // Reduce C fragments across threadblock
-  auto reduce_fr_c = [&]() {
-    int frag_row = lane_id >> 2;
-    // int frag_col = lane_id & 3;
+    FragC_h ch[WARP_N_TILES][2] = {};
+    float2 acc0[WARP_N_TILES][2] = {};
+
+    for (int ib = 0; ib < myn; ib += PF) {
+#pragma unroll
+      for (int d = 0; d < PF; ++d) {
+        const int i = ib + d;
+        if (i >= myn) break;
 
+        uint32_t bw[LOADS];
 #pragma unroll
-    for (int r_k = blocks_k / 2; r_k > 0; r_k >>= 1) {
-      float* red;
+        for (int l = 0; l < LOADS; ++l) bw[l] = pf[d][l];
 
-      // High blocks store
-      if (block_k < r_k * 2 && block_k >= r_k && frag_row < size_m) {
+        if (i + PF < myn) {
 #pragma unroll
-        for (int block_n = 0; block_n < blocks_n; ++block_n) {
-          red = &C_sh_red[block_k & (r_k - 1)][block_n][lane_id * 4];
-          red[0] = frag_c[block_n][0][0];
-          red[1] = frag_c[block_n][0][1];
-          red[2] = frag_c[block_n][1][0];
-          red[3] = frag_c[block_n][1][1];
+          for (int l = 0; l < LOADS; ++l) pf[d][l] = ld_b(i + PF, l);
         }
-      }
-      __syncthreads();
 
-      // Low blocks load
-      if (block_k < r_k && frag_row < size_m) {
+        if constexpr (SMEM_STAGE) {
+          __syncwarp();
 #pragma unroll
-        for (int block_n = 0; block_n < blocks_n; ++block_n) {
-          red = &C_sh_red[block_k & (r_k - 1)][block_n][lane_id * 4];
-          frag_c[block_n][0][0] += red[0];
-          frag_c[block_n][0][1] += red[1];
-          frag_c[block_n][1][0] += red[2];
-          frag_c[block_n][1][1] += red[3];
+          for (int l = 0; l < LOADS; ++l)
+            if (bits != 3 || lane < 24)
+              sh_stage[warp][l * LSTRIDE + lane] = bw[l];
+          __syncwarp();
         }
-      }
 
-      if (r_k) __syncthreads();
-    }
-  };
-
-  // Store fragment
-  auto store_fr2gl_c = [&](int block_n) {
-    int frag_row = lane_id >> 2;
-    int frag_col = lane_id & 3;
-    if (frag_row < size_m) {
-      if (c_fp32) {
-        float2* stc = (float2*)(C_gl_block + str_C_gl_row * frag_row);
-        float2 c0 = make_float2(frag_c[block_n][0][0], frag_c[block_n][0][1]);
-        float2 c1 = make_float2(frag_c[block_n][1][0], frag_c[block_n][1][1]);
-
-        // Thread has c[i] and c[i+4], shuffle so threads hold c[i] and c[i+1]
-        // in groups of four
-        int base = lane_id & (~3);
-        int src0 = base + ((2 * frag_col) & 3);
-        int src1 = base + ((2 * frag_col + 1) & 3);
-        float2 c00 = shfl_float2(c0, src0, 4);
-        float2 c01 = shfl_float2(c1, src0, 4);
-        float2 c10 = shfl_float2(c0, src1, 4);
-        float2 c11 = shfl_float2(c1, src1, 4);
-        bool low = frag_col < 2;
-        float2 s0 = low ? c00 : c01;
-        float2 s1 = low ? c10 : c11;
-
-        // Store 4x4 bytes per thread, coalesced
-        float4 s01 = make_float4(s0.x, s0.y, s1.x, s1.y);
-        ((float4*)stc)[frag_col] = s01;
-      } else {
-        half2* stc = (half2*)(C_gl_block + str_C_gl_row * frag_row);
-        half2 c0 =
-            __floats2half2_rn(frag_c[block_n][0][0], frag_c[block_n][0][1]);
-        half2 c1 =
-            __floats2half2_rn(frag_c[block_n][1][0], frag_c[block_n][1][1]);
-
-        // Thread has c[i] and c[i+4], shuffle so threads hold c[i] and c[i+1]
-        // in groups of four
-        int base = lane_id & (~3);
-        int src0 = base + ((2 * frag_col) & 3);
-        int src1 = base + ((2 * frag_col + 1) & 3);
-        half2 c00 = __shfl_sync(0xffffffff, c0, src0, 4);
-        half2 c01 = __shfl_sync(0xffffffff, c1, src0, 4);
-        half2 c10 = __shfl_sync(0xffffffff, c0, src1, 4);
-        half2 c11 = __shfl_sync(0xffffffff, c1, src1, 4);
-        bool low = frag_col < 2;
-        half2 s0 = low ? c00 : c01;
-        half2 s1 = low ? c10 : c11;
-
-        // Store 4x2 bytes per thread, coalesced
-        half4 s01(s0, s1);
-        ((half4*)stc)[frag_col] = s01;
-      }
-    }
-  };
-
-  // Direct
-  if constexpr (num_stages == 0) {
-    for (int tile_k = 0; tile_k < tiles_k_slice; ++tile_k) {
-      // Load A frag
-      A_gl_tile = ((uint8_t*)A) + str_A_gl_tile_k * tile_k;
-      A_gl_block = A_gl_tile + str_A_gl_block_k * block_k;
-      load_gl2fr_a();
-
-      // Load B frag
-      B_gl_tile =
-          ((uint8_t*)B) + str_B_gl_tile_k * tile_k + str_B_gl_tile_n * tile_n;
-      B_gl_block = B_gl_tile + str_B_gl_block_k * block_k;
+        // A fragment: lane covers row lane/4, k pairs (2(lane%4), +1) and (+8,
+        // +9)
+        const size_t a_col = (size_t)(ks0 + i) * 8 + (lane & 3);
+        FragB a01, a23;
+        a01[0] = r0_ok ? A2[a_row0 + a_col] : hzero;
+        a23[0] = r0_ok ? A2[a_row0 + a_col + 4] : hzero;
+        a01[1] = hzero;
+        a23[1] = hzero;
+
 #pragma unroll
-      for (int block_n = 0; block_n < blocks_n; ++block_n) {
-        load_gl2fr_b(block_n);
-        B_gl_block += str_B_gl_block_n;
-      }
+        for (int t = 0; t < WARP_N_TILES; ++t) {
+          FragB f0, f1;
+          if constexpr (SMEM_STAGE) {
+            const uint32_t* tp = &sh_stage[warp][t * TILE_WORDS];
+            if constexpr (bits == 4)
+              exl3_gemv_ns::dq8_regs_4bits<cb>(tp[(lane + 31) & 31], tp[lane],
+                                               f0, f1);
+            else if constexpr (bits == 2)
+              exl3_gemv_ns::dq8_regs_2bits<cb>(tp[x_src_a], tp[x_src_b],
+                                               lane << 3, f0, f1);
+            else
+              exl3_gemv_ns::dq8_regs_3bits<cb>(tp[x_src_a], tp[x_src_b], x_s2,
+                                               f0, f1);
+          } else if constexpr (bits == 4) {
+            uint32_t aw = __shfl_sync(0xffffffffu, bw[t], (lane + 31) & 31);
+            exl3_gemv_ns::dq8_regs_4bits<cb>(aw, bw[t], f0, f1);
+          } else if constexpr (bits == 2) {
+            // Two tiles per loaded word group: tile t lives in lanes (t&1)*16
+            // .. +15
+            const uint32_t w = bw[t >> 1];
+            const int base = (t & 1) << 4;
+            uint32_t bwv = __shfl_sync(0xffffffffu, w, base + x_src_b);
+            uint32_t awv = __shfl_sync(0xffffffffu, w, base + x_src_a);
+            exl3_gemv_ns::dq8_regs_2bits<cb>(awv, bwv, lane << 3, f0, f1);
+          } else  // bits == 3
+          {
+            uint32_t awv = __shfl_sync(0xffffffffu, bw[t], x_src_a);
+            uint32_t bwv = __shfl_sync(0xffffffffu, bw[t], x_src_b);
+            exl3_gemv_ns::dq8_regs_3bits<cb>(awv, bwv, x_s2, f0, f1);
+          }
+
+          exl3_gemv_ns::mma_ab_h(a01, a23, f0, ch[t][0]);
+          exl3_gemv_ns::mma_ab_h(a01, a23, f1, ch[t][1]);
+        }
 
-      // Mul
-      for (int block_n = 0; block_n < blocks_n; ++block_n) {
-        matmul(block_n);
+        if ((d + 1) % FOLD == 0 || i + 1 == myn) {
+#pragma unroll
+          for (int t = 0; t < WARP_N_TILES; ++t)
+#pragma unroll
+            for (int f = 0; f < 2; ++f) {
+              acc0[t][f].x += __low2float(ch[t][f][0]);
+              acc0[t][f].y += __high2float(ch[t][f][0]);
+              ch[t][f][0] = hzero;
+            }
+        }
       }
     }
-  }
-
-  // Staged
-  else {
-    // Load first B chunk
-    B_gl_tile = ((uint8_t*)B) + str_B_gl_tile_n * tile_n;
-    load_gl2sh_b(0, true);
 
+    // Cross-warp reduction over the k splits. Lane l holds row l/4, cols
+    // tile*16 + frag*8 + 2*(l%4) (+1)
+    {
+      const int c0 = 2 * (lane & 3);
+      const bool store0 = MMODE == 0 ? lane < 4 : r0 < ROWS;
+      const int sr0 = MMODE == 0 ? 0 : r0;
+      if (store0) {
 #pragma unroll
-    for (int tile_k = 0; tile_k < tiles_k_slice; ++tile_k) {
-      // Load next B chunk
-      B_gl_tile = ((uint8_t*)B) + str_B_gl_tile_k * (tile_k + 1) +
-                  str_B_gl_tile_n * tile_n;
-      load_gl2sh_b((tile_k + 1) % num_stages, tile_k < tiles_k_slice - 1);
-
-      // Load A frag
-      A_gl_tile = ((uint8_t*)A) + str_A_gl_tile_k * tile_k;
-      A_gl_block = A_gl_tile + str_A_gl_block_k * block_k;
-      load_gl2fr_a();
-
-      // Wait until at most one stage is pending
-      cp_async_wait<1>();
-      __syncthreads();
-
-      // Load B frag
-      B_sh_block = B_sh_tile[tile_k % num_stages] + str_B_sh_block_k * block_k;
+        for (int t = 0; t < WARP_N_TILES; ++t)
 #pragma unroll
-      for (int block_n = 0; block_n < blocks_n; ++block_n) {
-        load_sh2fr_b(block_n);
-        B_sh_block += str_B_sh_block_n;
+          for (int f = 0; f < 2; ++f) {
+            const int col = t * 16 + f * 8 + c0;
+            sh_red[warp][sr0][col + 0] = acc0[t][f].x;
+            sh_red[warp][sr0][col + 1] = acc0[t][f].y;
+          }
       }
+    }
+    __syncthreads();
 
-// Mul
+    const int rows_out = MMODE == 0 ? 1 : min(size_m, ROWS);
+    for (int idx = threadIdx.x; idx < COLS * rows_out; idx += THREADS) {
+      const int r = idx / COLS;
+      const int c = idx % COLS;
+      float sum = 0.0f;
 #pragma unroll
-      for (int block_n = 0; block_n < blocks_n; ++block_n) {
-        matmul(block_n);
-      }
+      for (int j = 0; j < WK; ++j) sum += sh_red[j][r][c];
+      const int col = group * COLS + c;
+      if constexpr (c_fp32)
+        ((float*)C)[(size_t)r * size_n + col] = sum;
+      else
+        ((half*)C)[(size_t)r * size_n + col] = __float2half_rn(sum);
     }
+    __syncthreads();
   }
 
-  // Reduce
-  C_gl_tile = ((uint8_t*)C) + str_C_gl_tile_n * tile_n;
-  // C_gl_block = C_gl_tile + str_C_gl_block_n * block_n;
-  reduce_fr_c();
-
-  // Store
-  if (block_k == 0) {
-    for (int block_n = 0; block_n < blocks_n; ++block_n) {
-      C_gl_block = C_gl_tile + str_C_gl_block_n * block_n;
-      store_fr2gl_c(block_n);
+  // Output scales and Hadamard transform, same semantics as the inner GEMM
+  // epilogue
+  {
+    grid.sync();
+
+    int total_warps = size_m * size_n / 128;
+    int warps_grid = gridDim.x * blockDim.x / 32;
+    int this_warp = threadIdx.x / 32 + blockDim.x / 32 * blockIdx.x;
+
+    for (; this_warp < total_warps; this_warp += warps_grid) {
+      if constexpr (c_fp32)
+        had_ff_r_128_inner<false, true>(((const float*)C) + this_warp * 128,
+                                        ((float*)C) + this_warp * 128,
+                                        svh + (this_warp * 128) % size_n,
+                                        0.088388347648f  // 1/sqrt(128)
+        );
+      else
+        had_hf_r_128_inner<false, true>(((const half*)C) + this_warp * 128,
+                                        ((half*)C) + this_warp * 128,
+                                        svh + (this_warp * 128) % size_n,
+                                        0.088388347648f  // 1/sqrt(128)
+        );
     }
   }
-}
\ No newline at end of file
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_kernel_map.cu b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_kernel_map.cu
index 979b3a7e18..f36e3c46bc 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_kernel_map.cu
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_kernel_map.cu
@@ -18,9 +18,6 @@ namespace cg = cooperative_groups;
 #include "comp_units/exl3_comp_unit_7.cuh"
 #include "comp_units/exl3_comp_unit_8.cuh"
 
-#include "exl3_kernel_map_samples.cuh"
-std::map<uint64_t, TResult> _tuning_cache = {};
-
 int select_gemm_shape(int cc, int size_m, int size_k, int size_n, int K,
                       bool multi, int bszm_in, int bszm_out) {
   bool mod_256 = (size_n % 256 == 0);
@@ -52,7 +49,7 @@ int select_gemm_shape(int cc, int size_m, int size_k, int size_n, int K,
       if (mod_256) return 3;
       return 2;
 
-    // case CC_HOPPER:
+    case CC_HOPPER:
     case CC_BLACKWELL:
       if ((K == 4 || K == 2) && !multi) {
         if (size_k <= 2048) return 1;
@@ -83,6 +80,46 @@ bool exl3_gemm_shape_compat(int shape_idx, int size_m, int size_k, int size_n,
   return (size_k % tilesize_k == 0) && (size_n % tilesize_n == 0);
 }
 
+// Instance tables, [K][cb] -> array indexed by shape_idx. Row 0 unused (no K =
+// 0 instances)
+
+#define EXL3_KERNEL_TABLE_ROW(fp, K)       \
+  {tfp_exl3_gemm_kernel_##fp##_b##K##_cb0, \
+   tfp_exl3_gemm_kernel_##fp##_b##K##_cb1, \
+   tfp_exl3_gemm_kernel_##fp##_b##K##_cb2}
+#define EXL3_MKERNEL_TABLE_ROW(fp, K)       \
+  {tfp_exl3_mgemm_kernel_##fp##_b##K##_cb0, \
+   tfp_exl3_mgemm_kernel_##fp##_b##K##_cb1, \
+   tfp_exl3_mgemm_kernel_##fp##_b##K##_cb2}
+
+static fp_exl3_gemm_kernel* const tab_gemm_fp32[9][3] = {
+    {nullptr, nullptr, nullptr},    EXL3_KERNEL_TABLE_ROW(fp32, 1),
+    EXL3_KERNEL_TABLE_ROW(fp32, 2), EXL3_KERNEL_TABLE_ROW(fp32, 3),
+    EXL3_KERNEL_TABLE_ROW(fp32, 4), EXL3_KERNEL_TABLE_ROW(fp32, 5),
+    EXL3_KERNEL_TABLE_ROW(fp32, 6), EXL3_KERNEL_TABLE_ROW(fp32, 7),
+    EXL3_KERNEL_TABLE_ROW(fp32, 8)};
+
+static fp_exl3_gemm_kernel* const tab_gemm_fp16[9][3] = {
+    {nullptr, nullptr, nullptr},    EXL3_KERNEL_TABLE_ROW(fp16, 1),
+    EXL3_KERNEL_TABLE_ROW(fp16, 2), EXL3_KERNEL_TABLE_ROW(fp16, 3),
+    EXL3_KERNEL_TABLE_ROW(fp16, 4), EXL3_KERNEL_TABLE_ROW(fp16, 5),
+    EXL3_KERNEL_TABLE_ROW(fp16, 6), EXL3_KERNEL_TABLE_ROW(fp16, 7),
+    EXL3_KERNEL_TABLE_ROW(fp16, 8)};
+
+static fp_exl3_mgemm_kernel* const tab_mgemm_fp32[9][3] = {
+    {nullptr, nullptr, nullptr},     EXL3_MKERNEL_TABLE_ROW(fp32, 1),
+    EXL3_MKERNEL_TABLE_ROW(fp32, 2), EXL3_MKERNEL_TABLE_ROW(fp32, 3),
+    EXL3_MKERNEL_TABLE_ROW(fp32, 4), EXL3_MKERNEL_TABLE_ROW(fp32, 5),
+    EXL3_MKERNEL_TABLE_ROW(fp32, 6), EXL3_MKERNEL_TABLE_ROW(fp32, 7),
+    EXL3_MKERNEL_TABLE_ROW(fp32, 8)};
+
+static fp_exl3_mgemm_kernel* const tab_mgemm_fp16[9][3] = {
+    {nullptr, nullptr, nullptr},     EXL3_MKERNEL_TABLE_ROW(fp16, 1),
+    EXL3_MKERNEL_TABLE_ROW(fp16, 2), EXL3_MKERNEL_TABLE_ROW(fp16, 3),
+    EXL3_MKERNEL_TABLE_ROW(fp16, 4), EXL3_MKERNEL_TABLE_ROW(fp16, 5),
+    EXL3_MKERNEL_TABLE_ROW(fp16, 6), EXL3_MKERNEL_TABLE_ROW(fp16, 7),
+    EXL3_MKERNEL_TABLE_ROW(fp16, 8)};
+
 fp_exl3_gemm_kernel select_exl3_gemm_kernel(int cc, int size_m, int size_k,
                                             int size_n, int K, bool c_fp32,
                                             int force_shape_idx,
@@ -106,51 +143,9 @@ fp_exl3_gemm_kernel select_exl3_gemm_kernel(int cc, int size_m, int size_k,
     *num_sms = MAX(MIN(max_slices, *num_sms), 1);
   }
 
-  int kernel_idx = shape_idx + (EXL3_GEMM_NUM_SHAPES + 1) * cb;
-
-  if (c_fp32) {
-    switch (K) {
-      case 1:
-        return tfp_exl3_gemm_kernel_fp32_b1[kernel_idx];
-      case 2:
-        return tfp_exl3_gemm_kernel_fp32_b2[kernel_idx];
-      case 3:
-        return tfp_exl3_gemm_kernel_fp32_b3[kernel_idx];
-      case 4:
-        return tfp_exl3_gemm_kernel_fp32_b4[kernel_idx];
-      case 5:
-        return tfp_exl3_gemm_kernel_fp32_b5[kernel_idx];
-      case 6:
-        return tfp_exl3_gemm_kernel_fp32_b6[kernel_idx];
-      case 7:
-        return tfp_exl3_gemm_kernel_fp32_b7[kernel_idx];
-      case 8:
-        return tfp_exl3_gemm_kernel_fp32_b8[kernel_idx];
-      default:
-        TORCH_CHECK(false, "No kernel for GEMM shape");
-    }
-  } else {
-    switch (K) {
-      case 1:
-        return tfp_exl3_gemm_kernel_fp16_b1[kernel_idx];
-      case 2:
-        return tfp_exl3_gemm_kernel_fp16_b2[kernel_idx];
-      case 3:
-        return tfp_exl3_gemm_kernel_fp16_b3[kernel_idx];
-      case 4:
-        return tfp_exl3_gemm_kernel_fp16_b4[kernel_idx];
-      case 5:
-        return tfp_exl3_gemm_kernel_fp16_b5[kernel_idx];
-      case 6:
-        return tfp_exl3_gemm_kernel_fp16_b6[kernel_idx];
-      case 7:
-        return tfp_exl3_gemm_kernel_fp16_b7[kernel_idx];
-      case 8:
-        return tfp_exl3_gemm_kernel_fp16_b8[kernel_idx];
-      default:
-        TORCH_CHECK(false, "No kernel for GEMM shape");
-    }
-  }
+  TORCH_CHECK(K >= 1 && K <= 8 && cb >= 0 && cb <= 2,
+              "No kernel for GEMM shape");
+  return (c_fp32 ? tab_gemm_fp32 : tab_gemm_fp16)[K][cb][shape_idx];
 }
 
 fp_exl3_mgemm_kernel select_exl3_mgemm_kernel(
@@ -174,216 +169,21 @@ fp_exl3_mgemm_kernel select_exl3_mgemm_kernel(
     *num_sms = MIN(max_slices, *num_sms);
   }
 
-  int kernel_idx = shape_idx + (EXL3_GEMM_NUM_SHAPES + 1) * cb;
-
-  if (c_fp32) {
-    switch (K) {
-      case 1:
-        return tfp_exl3_mgemm_kernel_fp32_b1[kernel_idx];
-      case 2:
-        return tfp_exl3_mgemm_kernel_fp32_b2[kernel_idx];
-      case 3:
-        return tfp_exl3_mgemm_kernel_fp32_b3[kernel_idx];
-      case 4:
-        return tfp_exl3_mgemm_kernel_fp32_b4[kernel_idx];
-      case 5:
-        return tfp_exl3_mgemm_kernel_fp32_b5[kernel_idx];
-      case 6:
-        return tfp_exl3_mgemm_kernel_fp32_b6[kernel_idx];
-      case 7:
-        return tfp_exl3_mgemm_kernel_fp32_b7[kernel_idx];
-      case 8:
-        return tfp_exl3_mgemm_kernel_fp32_b8[kernel_idx];
-      default:
-        TORCH_CHECK(false, "No kernel for GEMM shape");
-    }
-  } else {
-    switch (K) {
-      case 1:
-        return tfp_exl3_mgemm_kernel_fp16_b1[kernel_idx];
-      case 2:
-        return tfp_exl3_mgemm_kernel_fp16_b2[kernel_idx];
-      case 3:
-        return tfp_exl3_mgemm_kernel_fp16_b3[kernel_idx];
-      case 4:
-        return tfp_exl3_mgemm_kernel_fp16_b4[kernel_idx];
-      case 5:
-        return tfp_exl3_mgemm_kernel_fp16_b5[kernel_idx];
-      case 6:
-        return tfp_exl3_mgemm_kernel_fp16_b6[kernel_idx];
-      case 7:
-        return tfp_exl3_mgemm_kernel_fp16_b7[kernel_idx];
-      case 8:
-        return tfp_exl3_mgemm_kernel_fp16_b8[kernel_idx];
-      default:
-        TORCH_CHECK(false, "No kernel for GEMM shape");
-    }
-  }
+  TORCH_CHECK(K >= 1 && K <= 8 && cb >= 0 && cb <= 2,
+              "No kernel for GEMM shape");
+  return (c_fp32 ? tab_mgemm_fp32 : tab_mgemm_fp16)[K][cb][shape_idx];
 }
 
 fp_exl3_gemm_kernel get_gemm_kernel_ptr(int K, int shape_idx, bool c_fp32,
                                         int cb) {
-  int kernel_idx = shape_idx + (EXL3_GEMM_NUM_SHAPES + 1) * cb;
-
-  if (c_fp32) {
-    switch (K) {
-      case 1:
-        return tfp_exl3_gemm_kernel_fp32_b1[kernel_idx];
-      case 2:
-        return tfp_exl3_gemm_kernel_fp32_b2[kernel_idx];
-      case 3:
-        return tfp_exl3_gemm_kernel_fp32_b3[kernel_idx];
-      case 4:
-        return tfp_exl3_gemm_kernel_fp32_b4[kernel_idx];
-      case 5:
-        return tfp_exl3_gemm_kernel_fp32_b5[kernel_idx];
-      case 6:
-        return tfp_exl3_gemm_kernel_fp32_b6[kernel_idx];
-      case 7:
-        return tfp_exl3_gemm_kernel_fp32_b7[kernel_idx];
-      case 8:
-        return tfp_exl3_gemm_kernel_fp32_b8[kernel_idx];
-      default:
-        TORCH_CHECK(false, "No kernel for GEMM shape");
-    }
-  } else {
-    switch (K) {
-      case 1:
-        return tfp_exl3_gemm_kernel_fp16_b1[kernel_idx];
-      case 2:
-        return tfp_exl3_gemm_kernel_fp16_b2[kernel_idx];
-      case 3:
-        return tfp_exl3_gemm_kernel_fp16_b3[kernel_idx];
-      case 4:
-        return tfp_exl3_gemm_kernel_fp16_b4[kernel_idx];
-      case 5:
-        return tfp_exl3_gemm_kernel_fp16_b5[kernel_idx];
-      case 6:
-        return tfp_exl3_gemm_kernel_fp16_b6[kernel_idx];
-      case 7:
-        return tfp_exl3_gemm_kernel_fp16_b7[kernel_idx];
-      case 8:
-        return tfp_exl3_gemm_kernel_fp16_b8[kernel_idx];
-      default:
-        TORCH_CHECK(false, "No kernel for GEMM shape");
-    }
-  }
+  TORCH_CHECK(K >= 1 && K <= 8 && cb >= 0 && cb <= 2,
+              "No kernel for GEMM shape");
+  return (c_fp32 ? tab_gemm_fp32 : tab_gemm_fp16)[K][cb][shape_idx];
 }
 
 fp_exl3_mgemm_kernel get_mgemm_kernel_ptr(int K, int shape_idx, bool c_fp32,
                                           int cb) {
-  int kernel_idx = shape_idx + (EXL3_GEMM_NUM_SHAPES + 1) * cb;
-
-  if (c_fp32) {
-    switch (K) {
-      case 1:
-        return tfp_exl3_mgemm_kernel_fp32_b1[kernel_idx];
-      case 2:
-        return tfp_exl3_mgemm_kernel_fp32_b2[kernel_idx];
-      case 3:
-        return tfp_exl3_mgemm_kernel_fp32_b3[kernel_idx];
-      case 4:
-        return tfp_exl3_mgemm_kernel_fp32_b4[kernel_idx];
-      case 5:
-        return tfp_exl3_mgemm_kernel_fp32_b5[kernel_idx];
-      case 6:
-        return tfp_exl3_mgemm_kernel_fp32_b6[kernel_idx];
-      case 7:
-        return tfp_exl3_mgemm_kernel_fp32_b7[kernel_idx];
-      case 8:
-        return tfp_exl3_mgemm_kernel_fp32_b8[kernel_idx];
-      default:
-        TORCH_CHECK(false, "No kernel for GEMM shape");
-    }
-  } else {
-    switch (K) {
-      case 1:
-        return tfp_exl3_mgemm_kernel_fp16_b1[kernel_idx];
-      case 2:
-        return tfp_exl3_mgemm_kernel_fp16_b2[kernel_idx];
-      case 3:
-        return tfp_exl3_mgemm_kernel_fp16_b3[kernel_idx];
-      case 4:
-        return tfp_exl3_mgemm_kernel_fp16_b4[kernel_idx];
-      case 5:
-        return tfp_exl3_mgemm_kernel_fp16_b5[kernel_idx];
-      case 6:
-        return tfp_exl3_mgemm_kernel_fp16_b6[kernel_idx];
-      case 7:
-        return tfp_exl3_mgemm_kernel_fp16_b7[kernel_idx];
-      case 8:
-        return tfp_exl3_mgemm_kernel_fp16_b8[kernel_idx];
-      default:
-        TORCH_CHECK(false, "No kernel for GEMM shape");
-    }
-  }
-}
-
-TResult f_tr;
-
-TResult* select_exl3_gemm_mgemm_kernel_new(int cc, int size_m, int size_k,
-                                           int size_n, int K, bool c_fp32,
-                                           int force_shape_idx,
-                                           int force_num_sms, int cb) {
-  // Force parameters for tuning/benchmarking
-  if (force_shape_idx > 0) {
-    TORCH_CHECK(force_num_sms,
-                "Must supply force_shape_idx and force_num_sms together");
-    f_tr.kernel = get_gemm_kernel_ptr(K, force_shape_idx, c_fp32, cb);
-    f_tr.mkernel = get_mgemm_kernel_ptr(K, force_shape_idx, c_fp32, cb);
-    f_tr.shape_idx = force_shape_idx;
-    f_tr.num_sms = force_num_sms;
-    f_tr.block_dim = exl3_gemm_blockdim[force_shape_idx];
-    return &f_tr;
-  };
-  TORCH_CHECK(!force_num_sms,
-              "Must supply force_shape_idx and force_num_sms together.");
-
-  // Cache parameters
-  uint64_t key = (((uint64_t)size_k) << 40) | (((uint64_t)size_n) << 16) |
-                 (((uint64_t)cc) << 8) | (((uint64_t)K) << 4) |
-                 (c_fp32 ? 0x01ull : 0x00ull);
-
-  auto lookup = _tuning_cache.find(key);
-  if (lookup == _tuning_cache.end()) {
-    // Find closest kernel in map
-    bool mod512 = (size_n % 512 == 0);
-    bool mod256 = (size_n % 256 == 0);
-    bool mod128 = (size_n % 128 == 0);
-    TORCH_CHECK(mod128, "size_n must be a multiple of 128");
-    TSample* cand = mod512 ? samples_512 : (mod256 ? samples_256 : samples_128);
-    TSample* best = nullptr;
-    int64_t best_dist = 1ll << 62;
-
-    for (; cand->K; cand++) {
-      if (cand->K != K) continue;
-      if (cand->cc != cc) continue;
-
-      int64_t distk = (int64_t)(size_k - cand->k);
-      int64_t distn = (int64_t)(size_n - cand->n);
-      int64_t dist = distk * distk + distn * distn;
-      if (dist < best_dist) {
-        best_dist = dist;
-        best = cand;
-      }
-    }
-    TORCH_CHECK(best, "Failed to find valid kernel for shape");
-
-    // Avoid empty blocks
-    int tilesize_k = exl3_gemm_tilesize_k[best->shape_idx];
-    int tilesize_n = exl3_gemm_tilesize_n[best->shape_idx];
-    int max_slices = size_k / tilesize_k * size_n / tilesize_n;
-    int num_sms = MAX(MIN(max_slices, best->num_sms), 1);
-
-    // Results
-    TResult tr = {get_gemm_kernel_ptr(K, best->shape_idx, c_fp32, cb),
-                  get_mgemm_kernel_ptr(K, best->shape_idx, c_fp32, cb),
-                  best->shape_idx, num_sms,
-                  exl3_gemm_blockdim[best->shape_idx]};
-
-    _tuning_cache[key] = tr;
-  }
-
-  lookup = _tuning_cache.find(key);
-  return &(lookup->second);
+  TORCH_CHECK(K >= 1 && K <= 8 && cb >= 0 && cb <= 2,
+              "No kernel for GEMM shape");
+  return (c_fp32 ? tab_mgemm_fp32 : tab_mgemm_fp16)[K][cb][shape_idx];
 }
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_kernel_map.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_kernel_map.cuh
index 09fe091d2e..31fc506a2b 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_kernel_map.cuh
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_kernel_map.cuh
@@ -24,7 +24,7 @@ bool exl3_gemm_shape_compat(int shape_idx, int size_m, int size_k, int size_n,
       const half **__restrict__ suh_list, half *__restrict__ A_had,            \
       const half **__restrict__ svh_list, int64_t *B_indices, half *B_weights, \
       const int bszm_in, const int bszm_out, const int min_index,              \
-      const int max_index
+      const int max_index, const int num_tokens
 
 typedef void (*fp_exl3_gemm_kernel)(EXL3_GEMM_ARGS);
 typedef void (*fp_exl3_mgemm_kernel)(EXL3_MGEMM_ARGS);
@@ -55,32 +55,33 @@ typedef void (*fp_exl3_mgemm_kernel)(EXL3_MGEMM_ARGS);
 
 #define EXL3_GEMM_BASE_THREADS 256
 
-#define ALL_EXL3_KERNEL_EXTERNS(K)                               \
-  extern fp_exl3_gemm_kernel tfp_exl3_gemm_kernel_fp32_b##K[];   \
-  extern fp_exl3_gemm_kernel tfp_exl3_gemm_kernel_fp16_b##K[];   \
-  extern fp_exl3_mgemm_kernel tfp_exl3_mgemm_kernel_fp32_b##K[]; \
-  extern fp_exl3_mgemm_kernel tfp_exl3_mgemm_kernel_fp16_b##K[];
-
-#define ALL_EXL3_KERNEL_INSTANCES(K)                         \
-  fp_exl3_gemm_kernel tfp_exl3_gemm_kernel_fp32_b##K[] = {   \
-      EXL3_GEMM_KERNEL_INSTANCES(K, true, 0),                \
-      EXL3_GEMM_KERNEL_INSTANCES(K, true, 1),                \
-      EXL3_GEMM_KERNEL_INSTANCES(K, true, 2)};               \
-                                                             \
-  fp_exl3_gemm_kernel tfp_exl3_gemm_kernel_fp16_b##K[] = {   \
-      EXL3_GEMM_KERNEL_INSTANCES(K, false, 0),               \
-      EXL3_GEMM_KERNEL_INSTANCES(K, false, 1),               \
-      EXL3_GEMM_KERNEL_INSTANCES(K, false, 2)};              \
-                                                             \
-  fp_exl3_mgemm_kernel tfp_exl3_mgemm_kernel_fp32_b##K[] = { \
-      EXL3_MGEMM_KERNEL_INSTANCES(K, true, 0),               \
-      EXL3_MGEMM_KERNEL_INSTANCES(K, true, 1),               \
-      EXL3_MGEMM_KERNEL_INSTANCES(K, true, 2)};              \
-                                                             \
-  fp_exl3_mgemm_kernel tfp_exl3_mgemm_kernel_fp16_b##K[] = { \
-      EXL3_MGEMM_KERNEL_INSTANCES(K, false, 0),              \
-      EXL3_MGEMM_KERNEL_INSTANCES(K, false, 1),              \
-      EXL3_MGEMM_KERNEL_INSTANCES(K, false, 2)};
+// Instance arrays are indexed by shape and defined per (K, cb) so each codebook
+// compiles as a separate translation unit (see
+// comp_units/exl3_comp_unit_K_cbX.cu)
+
+#define EXL3_KERNEL_EXTERNS_CB(K, cb)                                     \
+  extern fp_exl3_gemm_kernel tfp_exl3_gemm_kernel_fp32_b##K##_cb##cb[];   \
+  extern fp_exl3_gemm_kernel tfp_exl3_gemm_kernel_fp16_b##K##_cb##cb[];   \
+  extern fp_exl3_mgemm_kernel tfp_exl3_mgemm_kernel_fp32_b##K##_cb##cb[]; \
+  extern fp_exl3_mgemm_kernel tfp_exl3_mgemm_kernel_fp16_b##K##_cb##cb[];
+
+#define ALL_EXL3_KERNEL_EXTERNS(K) \
+  EXL3_KERNEL_EXTERNS_CB(K, 0)     \
+  EXL3_KERNEL_EXTERNS_CB(K, 1)     \
+  EXL3_KERNEL_EXTERNS_CB(K, 2)
+
+#define EXL3_KERNEL_INSTANCES_CB(K, cb)                               \
+  fp_exl3_gemm_kernel tfp_exl3_gemm_kernel_fp32_b##K##_cb##cb[] = {   \
+      EXL3_GEMM_KERNEL_INSTANCES(K, true, cb)};                       \
+                                                                      \
+  fp_exl3_gemm_kernel tfp_exl3_gemm_kernel_fp16_b##K##_cb##cb[] = {   \
+      EXL3_GEMM_KERNEL_INSTANCES(K, false, cb)};                      \
+                                                                      \
+  fp_exl3_mgemm_kernel tfp_exl3_mgemm_kernel_fp32_b##K##_cb##cb[] = { \
+      EXL3_MGEMM_KERNEL_INSTANCES(K, true, cb)};                      \
+                                                                      \
+  fp_exl3_mgemm_kernel tfp_exl3_mgemm_kernel_fp16_b##K##_cb##cb[] = { \
+      EXL3_MGEMM_KERNEL_INSTANCES(K, false, cb)};
 
 fp_exl3_gemm_kernel select_exl3_gemm_kernel(
     const int cc, const int size_m, const int size_k, const int size_n,
@@ -93,39 +94,7 @@ fp_exl3_mgemm_kernel select_exl3_mgemm_kernel(
     int* out_block_dim, int* out_shape_idx, int* out_num_sms, const int cb,
     const int bszm_in, const int bszm_out);
 
-struct TSample {
-  int cc;
-  int K;
-  int m;
-  int k;
-  int n;
-  int shape_idx;
-  int num_sms;
-};
-
-struct TMSample {
-  int cc;
-  int K;
-  int m;
-  int k;
-  int n;
-  int shape_idx;
-  int num_sms;
-  int bszm_in;
-  int bszm_out;
-};
-
-struct TResult {
-  fp_exl3_gemm_kernel kernel;
-  fp_exl3_mgemm_kernel mkernel;
-  int shape_idx;
-  int num_sms;
-  int block_dim;
-};
-
-TResult* select_exl3_gemm_mgemm_kernel_new(const int cc, const int size_m,
-                                           const int size_k, const int size_n,
-                                           const int K, const bool c_fp32,
-                                           const int force_shape_idx,
-                                           const int force_num_sms,
-                                           const int cb);
+fp_exl3_gemm_kernel get_gemm_kernel_ptr(int K, int shape_idx, bool c_fp32,
+                                        int cb);
+fp_exl3_mgemm_kernel get_mgemm_kernel_ptr(int K, int shape_idx, bool c_fp32,
+                                          int cb);
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_kernel_map_samples.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_kernel_map_samples.cuh
deleted file mode 100644
index cb4a07e083..0000000000
--- a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_kernel_map_samples.cuh
+++ /dev/null
@@ -1,13109 +0,0 @@
-struct TSample samples_128[] = {{4, 1, 1, 128, 128, 1, 2},
-                                {4, 2, 1, 128, 128, 1, 2},
-                                {4, 3, 1, 128, 128, 1, 2},
-                                {4, 4, 1, 128, 128, 2, 1},
-                                {4, 5, 1, 128, 128, 1, 2},
-                                {4, 6, 1, 128, 128, 1, 2},
-                                {4, 7, 1, 128, 128, 1, 2},
-                                {4, 8, 1, 128, 128, 1, 2},
-                                {4, 1, 1, 128, 256, 1, 4},
-                                {4, 2, 1, 128, 256, 1, 4},
-                                {4, 3, 1, 128, 256, 1, 4},
-                                {4, 4, 1, 128, 256, 2, 2},
-                                {4, 5, 1, 128, 256, 1, 2},
-                                {4, 6, 1, 128, 256, 1, 4},
-                                {4, 7, 1, 128, 256, 1, 4},
-                                {4, 8, 1, 128, 256, 1, 4},
-                                {4, 1, 1, 128, 512, 1, 4},
-                                {4, 2, 1, 128, 512, 1, 8},
-                                {4, 3, 1, 128, 512, 2, 4},
-                                {4, 4, 1, 128, 512, 2, 4},
-                                {4, 5, 1, 128, 512, 2, 8},
-                                {4, 6, 1, 128, 512, 1, 8},
-                                {4, 7, 1, 128, 512, 1, 8},
-                                {4, 8, 1, 128, 512, 2, 4},
-                                {4, 1, 1, 128, 1024, 1, 16},
-                                {4, 2, 1, 128, 1024, 1, 16},
-                                {4, 3, 1, 128, 1024, 2, 8},
-                                {4, 4, 1, 128, 1024, 2, 8},
-                                {4, 5, 1, 128, 1024, 1, 16},
-                                {4, 6, 1, 128, 1024, 2, 8},
-                                {4, 7, 1, 128, 1024, 1, 8},
-                                {4, 8, 1, 128, 1024, 1, 16},
-                                {4, 1, 1, 128, 2048, 2, 16},
-                                {4, 2, 1, 128, 2048, 1, 16},
-                                {4, 3, 1, 128, 2048, 1, 16},
-                                {4, 4, 1, 128, 2048, 2, 16},
-                                {4, 5, 1, 128, 2048, 1, 32},
-                                {4, 6, 1, 128, 2048, 1, 32},
-                                {4, 7, 1, 128, 2048, 2, 128},
-                                {4, 8, 1, 128, 2048, 1, 32},
-                                {4, 1, 1, 128, 3072, 1, 32},
-                                {4, 2, 1, 128, 3072, 1, 48},
-                                {4, 3, 1, 128, 3072, 1, 24},
-                                {4, 4, 1, 128, 3072, 1, 24},
-                                {4, 5, 1, 128, 3072, 1, 48},
-                                {4, 6, 1, 128, 3072, 1, 48},
-                                {4, 7, 1, 128, 3072, 1, 50},
-                                {4, 8, 1, 128, 3072, 1, 48},
-                                {4, 1, 1, 128, 4096, 1, 64},
-                                {4, 2, 1, 128, 4096, 2, 32},
-                                {4, 3, 1, 128, 4096, 2, 32},
-                                {4, 4, 1, 128, 4096, 1, 64},
-                                {4, 5, 1, 128, 4096, 1, 64},
-                                {4, 6, 1, 128, 4096, 1, 64},
-                                {4, 7, 1, 128, 4096, 2, 92},
-                                {4, 8, 1, 128, 4096, 1, 64},
-                                {4, 1, 1, 128, 5120, 1, 80},
-                                {4, 2, 1, 128, 5120, 1, 40},
-                                {4, 3, 1, 128, 5120, 1, 40},
-                                {4, 4, 1, 128, 5120, 2, 40},
-                                {4, 5, 1, 128, 5120, 1, 80},
-                                {4, 6, 1, 128, 5120, 1, 60},
-                                {4, 7, 1, 128, 5120, 2, 48},
-                                {4, 8, 1, 128, 5120, 1, 80},
-                                {4, 1, 1, 128, 8192, 1, 64},
-                                {4, 2, 1, 128, 8192, 2, 64},
-                                {4, 3, 1, 128, 8192, 1, 64},
-                                {4, 4, 1, 128, 8192, 2, 64},
-                                {4, 5, 1, 128, 8192, 2, 152},
-                                {4, 6, 1, 128, 8192, 1, 64},
-                                {4, 7, 1, 128, 8192, 1, 116},
-                                {4, 8, 1, 128, 8192, 1, 64},
-                                {4, 1, 1, 128, 12288, 2, 96},
-                                {4, 2, 1, 128, 12288, 1, 96},
-                                {4, 3, 1, 128, 12288, 2, 162},
-                                {4, 4, 1, 128, 12288, 1, 96},
-                                {4, 5, 1, 128, 12288, 2, 146},
-                                {4, 6, 1, 128, 12288, 1, 152},
-                                {4, 7, 1, 128, 12288, 1, 164},
-                                {4, 8, 1, 128, 12288, 1, 96},
-                                {4, 1, 1, 128, 14336, 2, 112},
-                                {4, 2, 1, 128, 14336, 1, 112},
-                                {4, 3, 1, 128, 14336, 2, 112},
-                                {4, 4, 1, 128, 14336, 1, 112},
-                                {4, 5, 1, 128, 14336, 1, 134},
-                                {4, 6, 1, 128, 14336, 1, 144},
-                                {4, 7, 1, 128, 14336, 1, 166},
-                                {4, 8, 1, 128, 14336, 1, 112},
-                                {4, 1, 1, 128, 16384, 1, 128},
-                                {4, 2, 1, 128, 16384, 1, 128},
-                                {4, 3, 1, 128, 16384, 2, 128},
-                                {4, 4, 1, 128, 16384, 2, 128},
-                                {4, 5, 1, 128, 16384, 2, 108},
-                                {4, 6, 1, 128, 16384, 1, 118},
-                                {4, 7, 1, 128, 16384, 1, 158},
-                                {4, 8, 1, 128, 16384, 1, 128},
-                                {4, 1, 1, 128, 24576, 2, 146},
-                                {4, 2, 1, 128, 24576, 2, 96},
-                                {4, 3, 1, 128, 24576, 2, 144},
-                                {4, 4, 1, 128, 24576, 1, 164},
-                                {4, 5, 1, 128, 24576, 1, 170},
-                                {4, 6, 1, 128, 24576, 2, 152},
-                                {4, 7, 1, 128, 24576, 1, 158},
-                                {4, 8, 1, 128, 24576, 1, 156},
-                                {4, 1, 1, 128, 51200, 2, 156},
-                                {4, 2, 1, 128, 51200, 2, 152},
-                                {4, 3, 1, 128, 51200, 2, 160},
-                                {4, 4, 1, 128, 51200, 2, 152},
-                                {4, 5, 1, 128, 51200, 2, 152},
-                                {4, 6, 1, 128, 51200, 2, 152},
-                                {4, 7, 1, 128, 51200, 1, 160},
-                                {4, 8, 1, 128, 51200, 1, 160},
-                                {4, 1, 1, 128, 128000, 2, 168},
-                                {4, 2, 1, 128, 128000, 2, 160},
-                                {4, 3, 1, 128, 128000, 2, 170},
-                                {4, 4, 1, 128, 128000, 2, 166},
-                                {4, 5, 1, 128, 128000, 2, 166},
-                                {4, 6, 1, 128, 128000, 2, 166},
-                                {4, 7, 1, 128, 128000, 2, 168},
-                                {4, 8, 1, 128, 128000, 2, 144},
-                                {4, 1, 1, 256, 128, 2, 2},
-                                {4, 2, 1, 256, 128, 2, 4},
-                                {4, 3, 1, 256, 128, 2, 1},
-                                {4, 4, 1, 256, 128, 1, 1},
-                                {4, 5, 1, 256, 128, 1, 2},
-                                {4, 6, 1, 256, 128, 2, 4},
-                                {4, 7, 1, 256, 128, 1, 2},
-                                {4, 8, 1, 256, 128, 2, 1},
-                                {4, 1, 1, 256, 256, 2, 8},
-                                {4, 2, 1, 256, 256, 2, 2},
-                                {4, 3, 1, 256, 256, 2, 4},
-                                {4, 4, 1, 256, 256, 1, 8},
-                                {4, 5, 1, 256, 256, 1, 4},
-                                {4, 6, 1, 256, 256, 1, 8},
-                                {4, 7, 1, 256, 256, 1, 4},
-                                {4, 8, 1, 256, 256, 2, 4},
-                                {4, 1, 1, 256, 512, 2, 14},
-                                {4, 2, 1, 256, 512, 1, 6},
-                                {4, 3, 1, 256, 512, 2, 16},
-                                {4, 4, 1, 256, 512, 2, 4},
-                                {4, 5, 1, 256, 512, 1, 12},
-                                {4, 6, 1, 256, 512, 1, 8},
-                                {4, 7, 1, 256, 512, 2, 12},
-                                {4, 8, 1, 256, 512, 1, 16},
-                                {4, 1, 1, 256, 1024, 2, 10},
-                                {4, 2, 1, 256, 1024, 1, 18},
-                                {4, 3, 1, 256, 1024, 2, 8},
-                                {4, 4, 1, 256, 1024, 2, 16},
-                                {4, 5, 1, 256, 1024, 2, 12},
-                                {4, 6, 1, 256, 1024, 2, 18},
-                                {4, 7, 1, 256, 1024, 2, 16},
-                                {4, 8, 1, 256, 1024, 2, 8},
-                                {4, 1, 1, 256, 2048, 1, 20},
-                                {4, 2, 1, 256, 2048, 1, 26},
-                                {4, 3, 1, 256, 2048, 2, 24},
-                                {4, 4, 1, 256, 2048, 1, 32},
-                                {4, 5, 1, 256, 2048, 2, 42},
-                                {4, 6, 1, 256, 2048, 1, 42},
-                                {4, 7, 1, 256, 2048, 2, 32},
-                                {4, 8, 1, 256, 2048, 1, 30},
-                                {4, 1, 1, 256, 3072, 1, 76},
-                                {4, 2, 1, 256, 3072, 2, 32},
-                                {4, 3, 1, 256, 3072, 2, 42},
-                                {4, 4, 1, 256, 3072, 1, 66},
-                                {4, 5, 1, 256, 3072, 2, 48},
-                                {4, 6, 1, 256, 3072, 2, 42},
-                                {4, 7, 1, 256, 3072, 2, 54},
-                                {4, 8, 1, 256, 3072, 2, 48},
-                                {4, 1, 1, 256, 4096, 2, 80},
-                                {4, 2, 1, 256, 4096, 1, 82},
-                                {4, 3, 1, 256, 4096, 1, 96},
-                                {4, 4, 1, 256, 4096, 2, 64},
-                                {4, 5, 1, 256, 4096, 2, 64},
-                                {4, 6, 1, 256, 4096, 2, 70},
-                                {4, 7, 1, 256, 4096, 1, 64},
-                                {4, 8, 1, 256, 4096, 1, 64},
-                                {4, 1, 1, 256, 5120, 2, 98},
-                                {4, 2, 1, 256, 5120, 2, 92},
-                                {4, 3, 1, 256, 5120, 2, 62},
-                                {4, 4, 1, 256, 5120, 2, 112},
-                                {4, 5, 1, 256, 5120, 1, 114},
-                                {4, 6, 1, 256, 5120, 2, 84},
-                                {4, 7, 1, 256, 5120, 1, 80},
-                                {4, 8, 1, 256, 5120, 1, 130},
-                                {4, 1, 1, 256, 8192, 2, 112},
-                                {4, 2, 1, 256, 8192, 2, 96},
-                                {4, 3, 1, 256, 8192, 2, 152},
-                                {4, 4, 1, 256, 8192, 2, 160},
-                                {4, 5, 1, 256, 8192, 2, 152},
-                                {4, 6, 1, 256, 8192, 1, 144},
-                                {4, 7, 1, 256, 8192, 2, 128},
-                                {4, 8, 1, 256, 8192, 1, 126},
-                                {4, 1, 1, 256, 12288, 2, 152},
-                                {4, 2, 1, 256, 12288, 2, 160},
-                                {4, 3, 1, 256, 12288, 2, 138},
-                                {4, 4, 1, 256, 12288, 1, 146},
-                                {4, 5, 1, 256, 12288, 2, 156},
-                                {4, 6, 1, 256, 12288, 1, 158},
-                                {4, 7, 1, 256, 12288, 1, 170},
-                                {4, 8, 1, 256, 12288, 1, 144},
-                                {4, 1, 1, 256, 14336, 2, 156},
-                                {4, 2, 1, 256, 14336, 2, 132},
-                                {4, 3, 1, 256, 14336, 2, 160},
-                                {4, 4, 1, 256, 14336, 2, 158},
-                                {4, 5, 1, 256, 14336, 1, 168},
-                                {4, 6, 1, 256, 14336, 1, 168},
-                                {4, 7, 1, 256, 14336, 2, 112},
-                                {4, 8, 1, 256, 14336, 1, 156},
-                                {4, 1, 1, 256, 16384, 2, 154},
-                                {4, 2, 1, 256, 16384, 2, 158},
-                                {4, 3, 1, 256, 16384, 2, 150},
-                                {4, 4, 1, 256, 16384, 1, 170},
-                                {4, 5, 1, 256, 16384, 1, 164},
-                                {4, 6, 1, 256, 16384, 1, 166},
-                                {4, 7, 1, 256, 16384, 1, 170},
-                                {4, 8, 1, 256, 16384, 1, 128},
-                                {4, 1, 1, 256, 24576, 2, 168},
-                                {4, 2, 1, 256, 24576, 2, 168},
-                                {4, 3, 1, 256, 24576, 2, 168},
-                                {4, 4, 1, 256, 24576, 2, 168},
-                                {4, 5, 1, 256, 24576, 2, 144},
-                                {4, 6, 1, 256, 24576, 2, 136},
-                                {4, 7, 1, 256, 24576, 2, 168},
-                                {4, 8, 1, 256, 24576, 1, 164},
-                                {4, 1, 1, 256, 51200, 2, 156},
-                                {4, 2, 1, 256, 51200, 2, 152},
-                                {4, 3, 1, 256, 51200, 2, 156},
-                                {4, 4, 1, 256, 51200, 2, 152},
-                                {4, 5, 1, 256, 51200, 2, 160},
-                                {4, 6, 1, 256, 51200, 2, 160},
-                                {4, 7, 1, 256, 51200, 2, 168},
-                                {4, 8, 1, 256, 51200, 2, 168},
-                                {4, 1, 1, 256, 128000, 2, 170},
-                                {4, 2, 1, 256, 128000, 2, 168},
-                                {4, 3, 1, 256, 128000, 2, 170},
-                                {4, 4, 1, 256, 128000, 2, 170},
-                                {4, 5, 1, 256, 128000, 2, 170},
-                                {4, 6, 1, 256, 128000, 2, 168},
-                                {4, 7, 1, 256, 128000, 2, 170},
-                                {4, 8, 1, 256, 128000, 2, 168},
-                                {4, 1, 1, 512, 128, 2, 4},
-                                {4, 2, 1, 512, 128, 2, 2},
-                                {4, 3, 1, 512, 128, 2, 2},
-                                {4, 4, 1, 512, 128, 2, 2},
-                                {4, 5, 1, 512, 128, 2, 2},
-                                {4, 6, 1, 512, 128, 2, 2},
-                                {4, 7, 1, 512, 128, 1, 6},
-                                {4, 8, 1, 512, 128, 2, 2},
-                                {4, 1, 1, 512, 256, 2, 6},
-                                {4, 2, 1, 512, 256, 2, 6},
-                                {4, 3, 1, 512, 256, 2, 4},
-                                {4, 4, 1, 512, 256, 2, 6},
-                                {4, 5, 1, 512, 256, 2, 4},
-                                {4, 6, 1, 512, 256, 2, 4},
-                                {4, 7, 1, 512, 256, 2, 10},
-                                {4, 8, 1, 512, 256, 2, 4},
-                                {4, 1, 1, 512, 512, 2, 12},
-                                {4, 2, 1, 512, 512, 2, 12},
-                                {4, 3, 1, 512, 512, 2, 8},
-                                {4, 4, 1, 512, 512, 2, 12},
-                                {4, 5, 1, 512, 512, 2, 12},
-                                {4, 6, 1, 512, 512, 1, 16},
-                                {4, 7, 1, 512, 512, 2, 14},
-                                {4, 8, 1, 512, 512, 2, 8},
-                                {4, 1, 1, 512, 1024, 1, 24},
-                                {4, 2, 1, 512, 1024, 1, 24},
-                                {4, 3, 1, 512, 1024, 2, 24},
-                                {4, 4, 1, 512, 1024, 2, 24},
-                                {4, 5, 1, 512, 1024, 2, 24},
-                                {4, 6, 1, 512, 1024, 1, 32},
-                                {4, 7, 1, 512, 1024, 2, 42},
-                                {4, 8, 1, 512, 1024, 1, 24},
-                                {4, 1, 1, 512, 2048, 1, 48},
-                                {4, 2, 1, 512, 2048, 2, 32},
-                                {4, 3, 1, 512, 2048, 2, 32},
-                                {4, 4, 1, 512, 2048, 2, 32},
-                                {4, 5, 1, 512, 2048, 2, 32},
-                                {4, 6, 1, 512, 2048, 2, 48},
-                                {4, 7, 1, 512, 2048, 1, 46},
-                                {4, 8, 1, 512, 2048, 2, 48},
-                                {4, 1, 1, 512, 3072, 2, 48},
-                                {4, 2, 1, 512, 3072, 2, 48},
-                                {4, 3, 1, 512, 3072, 2, 48},
-                                {4, 4, 1, 512, 3072, 2, 48},
-                                {4, 5, 1, 512, 3072, 2, 48},
-                                {4, 6, 1, 512, 3072, 2, 48},
-                                {4, 7, 1, 512, 3072, 2, 96},
-                                {4, 8, 1, 512, 3072, 2, 72},
-                                {4, 1, 1, 512, 4096, 2, 64},
-                                {4, 2, 1, 512, 4096, 2, 64},
-                                {4, 3, 1, 512, 4096, 2, 64},
-                                {4, 4, 1, 512, 4096, 2, 64},
-                                {4, 5, 1, 512, 4096, 2, 64},
-                                {4, 6, 1, 512, 4096, 2, 64},
-                                {4, 7, 1, 512, 4096, 1, 126},
-                                {4, 8, 1, 512, 4096, 2, 64},
-                                {4, 1, 1, 512, 5120, 1, 120},
-                                {4, 2, 1, 512, 5120, 1, 120},
-                                {4, 3, 1, 512, 5120, 2, 80},
-                                {4, 4, 1, 512, 5120, 2, 80},
-                                {4, 5, 1, 512, 5120, 2, 80},
-                                {4, 6, 1, 512, 5120, 1, 120},
-                                {4, 7, 1, 512, 5120, 1, 124},
-                                {4, 8, 1, 512, 5120, 1, 120},
-                                {4, 1, 1, 512, 8192, 2, 128},
-                                {4, 2, 1, 512, 8192, 2, 128},
-                                {4, 3, 1, 512, 8192, 2, 128},
-                                {4, 4, 1, 512, 8192, 2, 128},
-                                {4, 5, 1, 512, 8192, 2, 152},
-                                {4, 6, 1, 512, 8192, 1, 128},
-                                {4, 7, 1, 512, 8192, 1, 156},
-                                {4, 8, 1, 512, 8192, 1, 144},
-                                {4, 1, 1, 512, 12288, 2, 170},
-                                {4, 2, 1, 512, 12288, 2, 160},
-                                {4, 3, 1, 512, 12288, 2, 132},
-                                {4, 4, 1, 512, 12288, 2, 152},
-                                {4, 5, 1, 512, 12288, 2, 152},
-                                {4, 6, 1, 512, 12288, 2, 128},
-                                {4, 7, 1, 512, 12288, 2, 156},
-                                {4, 8, 1, 512, 12288, 2, 152},
-                                {4, 1, 1, 512, 14336, 2, 112},
-                                {4, 2, 1, 512, 14336, 1, 152},
-                                {4, 3, 1, 512, 14336, 2, 120},
-                                {4, 4, 1, 512, 14336, 2, 112},
-                                {4, 5, 1, 512, 14336, 2, 156},
-                                {4, 6, 1, 512, 14336, 2, 156},
-                                {4, 7, 1, 512, 14336, 2, 168},
-                                {4, 8, 1, 512, 14336, 1, 170},
-                                {4, 1, 1, 512, 16384, 2, 166},
-                                {4, 2, 1, 512, 16384, 2, 160},
-                                {4, 3, 1, 512, 16384, 1, 156},
-                                {4, 4, 1, 512, 16384, 2, 136},
-                                {4, 5, 1, 512, 16384, 2, 160},
-                                {4, 6, 1, 512, 16384, 2, 156},
-                                {4, 7, 1, 512, 16384, 2, 162},
-                                {4, 8, 1, 512, 16384, 1, 164},
-                                {4, 1, 1, 512, 24576, 2, 152},
-                                {4, 2, 1, 512, 24576, 2, 168},
-                                {4, 3, 1, 512, 24576, 1, 160},
-                                {4, 4, 1, 512, 24576, 2, 168},
-                                {4, 5, 1, 512, 24576, 2, 168},
-                                {4, 6, 1, 512, 24576, 2, 168},
-                                {4, 7, 1, 512, 24576, 2, 168},
-                                {4, 8, 1, 512, 24576, 1, 168},
-                                {4, 1, 1, 512, 51200, 2, 168},
-                                {4, 2, 1, 512, 51200, 2, 164},
-                                {4, 3, 1, 512, 51200, 2, 160},
-                                {4, 4, 1, 512, 51200, 2, 170},
-                                {4, 5, 1, 512, 51200, 2, 170},
-                                {4, 6, 1, 512, 51200, 2, 164},
-                                {4, 7, 1, 512, 51200, 2, 168},
-                                {4, 8, 1, 512, 51200, 1, 168},
-                                {4, 1, 1, 512, 128000, 2, 170},
-                                {4, 2, 1, 512, 128000, 2, 170},
-                                {4, 3, 1, 512, 128000, 2, 170},
-                                {4, 4, 1, 512, 128000, 2, 170},
-                                {4, 5, 1, 512, 128000, 2, 170},
-                                {4, 6, 1, 512, 128000, 2, 170},
-                                {4, 7, 1, 512, 128000, 2, 170},
-                                {4, 8, 1, 512, 128000, 2, 156},
-                                {4, 1, 1, 1024, 128, 2, 2},
-                                {4, 2, 1, 1024, 128, 2, 2},
-                                {4, 3, 1, 1024, 128, 2, 2},
-                                {4, 4, 1, 1024, 128, 2, 6},
-                                {4, 5, 1, 1024, 128, 2, 4},
-                                {4, 6, 1, 1024, 128, 2, 4},
-                                {4, 7, 1, 1024, 128, 2, 4},
-                                {4, 8, 1, 1024, 128, 1, 4},
-                                {4, 1, 1, 1024, 256, 2, 8},
-                                {4, 2, 1, 1024, 256, 2, 4},
-                                {4, 3, 1, 1024, 256, 2, 8},
-                                {4, 4, 1, 1024, 256, 2, 6},
-                                {4, 5, 1, 1024, 256, 2, 8},
-                                {4, 6, 1, 1024, 256, 2, 10},
-                                {4, 7, 1, 1024, 256, 2, 8},
-                                {4, 8, 1, 1024, 256, 1, 10},
-                                {4, 1, 1, 1024, 512, 1, 16},
-                                {4, 2, 1, 1024, 512, 2, 16},
-                                {4, 3, 1, 1024, 512, 2, 14},
-                                {4, 4, 1, 1024, 512, 2, 12},
-                                {4, 5, 1, 1024, 512, 2, 16},
-                                {4, 6, 1, 1024, 512, 2, 16},
-                                {4, 7, 1, 1024, 512, 2, 16},
-                                {4, 8, 1, 1024, 512, 2, 12},
-                                {4, 1, 1, 1024, 1024, 2, 24},
-                                {4, 2, 1, 1024, 1024, 2, 28},
-                                {4, 3, 1, 1024, 1024, 2, 38},
-                                {4, 4, 1, 1024, 1024, 2, 24},
-                                {4, 5, 1, 1024, 1024, 2, 32},
-                                {4, 6, 1, 1024, 1024, 2, 30},
-                                {4, 7, 1, 1024, 1024, 2, 32},
-                                {4, 8, 1, 1024, 1024, 2, 32},
-                                {4, 1, 1, 1024, 2048, 2, 46},
-                                {4, 2, 1, 1024, 2048, 2, 64},
-                                {4, 3, 1, 1024, 2048, 2, 76},
-                                {4, 4, 1, 1024, 2048, 2, 74},
-                                {4, 5, 1, 1024, 2048, 2, 64},
-                                {4, 6, 1, 1024, 2048, 2, 64},
-                                {4, 7, 1, 1024, 2048, 1, 104},
-                                {4, 8, 1, 1024, 2048, 2, 64},
-                                {4, 1, 1, 1024, 3072, 2, 94},
-                                {4, 2, 1, 1024, 3072, 2, 78},
-                                {4, 3, 1, 1024, 3072, 2, 96},
-                                {4, 4, 1, 1024, 3072, 2, 70},
-                                {4, 5, 1, 1024, 3072, 2, 96},
-                                {4, 6, 1, 1024, 3072, 2, 96},
-                                {4, 7, 1, 1024, 3072, 1, 120},
-                                {4, 8, 1, 1024, 3072, 1, 88},
-                                {4, 1, 1, 1024, 4096, 2, 96},
-                                {4, 2, 1, 1024, 4096, 2, 118},
-                                {4, 3, 1, 1024, 4096, 2, 128},
-                                {4, 4, 1, 1024, 4096, 2, 96},
-                                {4, 5, 1, 1024, 4096, 1, 120},
-                                {4, 6, 1, 1024, 4096, 1, 124},
-                                {4, 7, 1, 1024, 4096, 1, 128},
-                                {4, 8, 1, 1024, 4096, 1, 162},
-                                {4, 1, 1, 1024, 5120, 2, 128},
-                                {4, 2, 1, 1024, 5120, 1, 160},
-                                {4, 3, 1, 1024, 5120, 2, 120},
-                                {4, 4, 1, 1024, 5120, 2, 144},
-                                {4, 5, 1, 1024, 5120, 2, 112},
-                                {4, 6, 1, 1024, 5120, 2, 122},
-                                {4, 7, 1, 1024, 5120, 2, 160},
-                                {4, 8, 1, 1024, 5120, 1, 160},
-                                {4, 1, 1, 1024, 8192, 2, 158},
-                                {4, 2, 1, 1024, 8192, 2, 168},
-                                {4, 3, 1, 1024, 8192, 2, 166},
-                                {4, 4, 1, 1024, 8192, 2, 154},
-                                {4, 5, 1, 1024, 8192, 2, 136},
-                                {4, 6, 1, 1024, 8192, 2, 168},
-                                {4, 7, 1, 1024, 8192, 2, 158},
-                                {4, 8, 1, 1024, 8192, 2, 156},
-                                {4, 1, 1, 1024, 12288, 2, 162},
-                                {4, 2, 1, 1024, 12288, 2, 156},
-                                {4, 3, 1, 1024, 12288, 2, 170},
-                                {4, 4, 1, 1024, 12288, 2, 168},
-                                {4, 5, 1, 1024, 12288, 2, 162},
-                                {4, 6, 1, 1024, 12288, 2, 170},
-                                {4, 7, 1, 1024, 12288, 2, 170},
-                                {4, 8, 1, 1024, 12288, 2, 136},
-                                {4, 1, 1, 1024, 14336, 2, 164},
-                                {4, 2, 1, 1024, 14336, 2, 156},
-                                {4, 3, 1, 1024, 14336, 2, 168},
-                                {4, 4, 1, 1024, 14336, 2, 168},
-                                {4, 5, 1, 1024, 14336, 2, 170},
-                                {4, 6, 1, 1024, 14336, 2, 152},
-                                {4, 7, 1, 1024, 14336, 2, 168},
-                                {4, 8, 1, 1024, 14336, 1, 168},
-                                {4, 1, 1, 1024, 16384, 2, 170},
-                                {4, 2, 1, 1024, 16384, 2, 156},
-                                {4, 3, 1, 1024, 16384, 2, 166},
-                                {4, 4, 1, 1024, 16384, 2, 168},
-                                {4, 5, 1, 1024, 16384, 2, 160},
-                                {4, 6, 1, 1024, 16384, 2, 170},
-                                {4, 7, 1, 1024, 16384, 2, 170},
-                                {4, 8, 1, 1024, 16384, 1, 168},
-                                {4, 1, 1, 1024, 24576, 2, 168},
-                                {4, 2, 1, 1024, 24576, 2, 168},
-                                {4, 3, 1, 1024, 24576, 2, 158},
-                                {4, 4, 1, 1024, 24576, 2, 160},
-                                {4, 5, 1, 1024, 24576, 2, 168},
-                                {4, 6, 1, 1024, 24576, 2, 170},
-                                {4, 7, 1, 1024, 24576, 2, 170},
-                                {4, 8, 1, 1024, 24576, 1, 168},
-                                {4, 1, 1, 1024, 51200, 2, 168},
-                                {4, 2, 1, 1024, 51200, 2, 170},
-                                {4, 3, 1, 1024, 51200, 2, 170},
-                                {4, 4, 1, 1024, 51200, 2, 168},
-                                {4, 5, 1, 1024, 51200, 2, 170},
-                                {4, 6, 1, 1024, 51200, 2, 160},
-                                {4, 7, 1, 1024, 51200, 2, 170},
-                                {4, 8, 1, 1024, 51200, 1, 166},
-                                {4, 1, 1, 1024, 128000, 2, 170},
-                                {4, 2, 1, 1024, 128000, 2, 170},
-                                {4, 3, 1, 1024, 128000, 2, 170},
-                                {4, 4, 1, 1024, 128000, 2, 170},
-                                {4, 5, 1, 1024, 128000, 2, 170},
-                                {4, 6, 1, 1024, 128000, 2, 170},
-                                {4, 7, 1, 1024, 128000, 2, 166},
-                                {4, 8, 1, 1024, 128000, 2, 156},
-                                {4, 1, 1, 2048, 128, 2, 4},
-                                {4, 2, 1, 2048, 128, 1, 4},
-                                {4, 3, 1, 2048, 128, 2, 6},
-                                {4, 4, 1, 2048, 128, 2, 4},
-                                {4, 5, 1, 2048, 128, 2, 6},
-                                {4, 6, 1, 2048, 128, 2, 6},
-                                {4, 7, 1, 2048, 128, 2, 8},
-                                {4, 8, 1, 2048, 128, 2, 6},
-                                {4, 1, 1, 2048, 256, 1, 10},
-                                {4, 2, 1, 2048, 256, 1, 16},
-                                {4, 3, 1, 2048, 256, 2, 8},
-                                {4, 4, 1, 2048, 256, 2, 10},
-                                {4, 5, 1, 2048, 256, 2, 10},
-                                {4, 6, 1, 2048, 256, 2, 10},
-                                {4, 7, 1, 2048, 256, 2, 8},
-                                {4, 8, 1, 2048, 256, 2, 10},
-                                {4, 1, 1, 2048, 512, 2, 16},
-                                {4, 2, 1, 2048, 512, 1, 24},
-                                {4, 3, 1, 2048, 512, 2, 26},
-                                {4, 4, 1, 2048, 512, 1, 26},
-                                {4, 5, 1, 2048, 512, 2, 24},
-                                {4, 6, 1, 2048, 512, 2, 24},
-                                {4, 7, 1, 2048, 512, 2, 24},
-                                {4, 8, 1, 2048, 512, 2, 24},
-                                {4, 1, 1, 2048, 1024, 2, 30},
-                                {4, 2, 1, 2048, 1024, 2, 36},
-                                {4, 3, 1, 2048, 1024, 2, 48},
-                                {4, 4, 1, 2048, 1024, 2, 54},
-                                {4, 5, 1, 2048, 1024, 2, 40},
-                                {4, 6, 1, 2048, 1024, 2, 48},
-                                {4, 7, 1, 2048, 1024, 2, 48},
-                                {4, 8, 1, 2048, 1024, 2, 48},
-                                {4, 1, 1, 2048, 2048, 2, 76},
-                                {4, 2, 1, 2048, 2048, 2, 96},
-                                {4, 3, 1, 2048, 2048, 2, 74},
-                                {4, 4, 1, 2048, 2048, 2, 62},
-                                {4, 5, 1, 2048, 2048, 2, 76},
-                                {4, 6, 1, 2048, 2048, 1, 80},
-                                {4, 7, 1, 2048, 2048, 2, 80},
-                                {4, 8, 1, 2048, 2048, 2, 72},
-                                {4, 1, 1, 2048, 3072, 2, 114},
-                                {4, 2, 1, 2048, 3072, 2, 140},
-                                {4, 3, 1, 2048, 3072, 2, 120},
-                                {4, 4, 1, 2048, 3072, 2, 112},
-                                {4, 5, 1, 2048, 3072, 1, 144},
-                                {4, 6, 1, 2048, 3072, 2, 136},
-                                {4, 7, 1, 2048, 3072, 2, 112},
-                                {4, 8, 1, 2048, 3072, 2, 104},
-                                {4, 1, 1, 2048, 4096, 2, 124},
-                                {4, 2, 1, 2048, 4096, 2, 158},
-                                {4, 3, 1, 2048, 4096, 2, 120},
-                                {4, 4, 1, 2048, 4096, 1, 160},
-                                {4, 5, 1, 2048, 4096, 2, 160},
-                                {4, 6, 1, 2048, 4096, 2, 148},
-                                {4, 7, 1, 2048, 4096, 2, 126},
-                                {4, 8, 1, 2048, 4096, 1, 160},
-                                {4, 1, 1, 2048, 5120, 2, 160},
-                                {4, 2, 1, 2048, 5120, 2, 160},
-                                {4, 3, 1, 2048, 5120, 2, 158},
-                                {4, 4, 1, 2048, 5120, 2, 152},
-                                {4, 5, 1, 2048, 5120, 2, 160},
-                                {4, 6, 1, 2048, 5120, 2, 160},
-                                {4, 7, 1, 2048, 5120, 2, 160},
-                                {4, 8, 1, 2048, 5120, 1, 160},
-                                {4, 1, 1, 2048, 8192, 2, 160},
-                                {4, 2, 1, 2048, 8192, 2, 170},
-                                {4, 3, 1, 2048, 8192, 2, 170},
-                                {4, 4, 1, 2048, 8192, 2, 170},
-                                {4, 5, 1, 2048, 8192, 2, 168},
-                                {4, 6, 1, 2048, 8192, 2, 170},
-                                {4, 7, 1, 2048, 8192, 2, 170},
-                                {4, 8, 1, 2048, 8192, 1, 160},
-                                {4, 1, 1, 2048, 12288, 2, 168},
-                                {4, 2, 1, 2048, 12288, 2, 170},
-                                {4, 3, 1, 2048, 12288, 2, 168},
-                                {4, 4, 1, 2048, 12288, 2, 164},
-                                {4, 5, 1, 2048, 12288, 2, 170},
-                                {4, 6, 1, 2048, 12288, 2, 164},
-                                {4, 7, 1, 2048, 12288, 2, 164},
-                                {4, 8, 1, 2048, 12288, 1, 162},
-                                {4, 1, 1, 2048, 14336, 2, 168},
-                                {4, 2, 1, 2048, 14336, 2, 170},
-                                {4, 3, 1, 2048, 14336, 2, 168},
-                                {4, 4, 1, 2048, 14336, 2, 168},
-                                {4, 5, 1, 2048, 14336, 2, 164},
-                                {4, 6, 1, 2048, 14336, 2, 168},
-                                {4, 7, 1, 2048, 14336, 2, 164},
-                                {4, 8, 1, 2048, 14336, 1, 168},
-                                {4, 1, 1, 2048, 16384, 2, 166},
-                                {4, 2, 1, 2048, 16384, 2, 170},
-                                {4, 3, 1, 2048, 16384, 2, 168},
-                                {4, 4, 1, 2048, 16384, 2, 168},
-                                {4, 5, 1, 2048, 16384, 2, 164},
-                                {4, 6, 1, 2048, 16384, 2, 170},
-                                {4, 7, 1, 2048, 16384, 2, 160},
-                                {4, 8, 1, 2048, 16384, 1, 168},
-                                {4, 1, 1, 2048, 24576, 2, 166},
-                                {4, 2, 1, 2048, 24576, 2, 170},
-                                {4, 3, 1, 2048, 24576, 2, 168},
-                                {4, 4, 1, 2048, 24576, 2, 168},
-                                {4, 5, 1, 2048, 24576, 2, 168},
-                                {4, 6, 1, 2048, 24576, 2, 160},
-                                {4, 7, 1, 2048, 24576, 2, 170},
-                                {4, 8, 1, 2048, 24576, 1, 168},
-                                {4, 1, 1, 2048, 51200, 2, 170},
-                                {4, 2, 1, 2048, 51200, 2, 170},
-                                {4, 3, 1, 2048, 51200, 2, 170},
-                                {4, 4, 1, 2048, 51200, 2, 170},
-                                {4, 5, 1, 2048, 51200, 2, 170},
-                                {4, 6, 1, 2048, 51200, 2, 160},
-                                {4, 7, 1, 2048, 51200, 2, 166},
-                                {4, 8, 1, 2048, 51200, 2, 150},
-                                {4, 1, 1, 2048, 128000, 2, 170},
-                                {4, 2, 1, 2048, 128000, 2, 170},
-                                {4, 3, 1, 2048, 128000, 2, 170},
-                                {4, 4, 1, 2048, 128000, 2, 168},
-                                {4, 5, 1, 2048, 128000, 2, 170},
-                                {4, 6, 1, 2048, 128000, 2, 170},
-                                {4, 7, 1, 2048, 128000, 2, 166},
-                                {4, 8, 1, 2048, 128000, 2, 166},
-                                {4, 1, 1, 3072, 128, 2, 6},
-                                {4, 2, 1, 3072, 128, 2, 6},
-                                {4, 3, 1, 3072, 128, 2, 6},
-                                {4, 4, 1, 3072, 128, 2, 6},
-                                {4, 5, 1, 3072, 128, 2, 8},
-                                {4, 6, 1, 3072, 128, 1, 8},
-                                {4, 7, 1, 3072, 128, 2, 8},
-                                {4, 8, 1, 3072, 128, 2, 6},
-                                {4, 1, 1, 3072, 256, 2, 12},
-                                {4, 2, 1, 3072, 256, 1, 12},
-                                {4, 3, 1, 3072, 256, 2, 16},
-                                {4, 4, 1, 3072, 256, 2, 12},
-                                {4, 5, 1, 3072, 256, 2, 14},
-                                {4, 6, 1, 3072, 256, 2, 12},
-                                {4, 7, 1, 3072, 256, 2, 18},
-                                {4, 8, 1, 3072, 256, 2, 12},
-                                {4, 1, 1, 3072, 512, 1, 24},
-                                {4, 2, 1, 3072, 512, 2, 24},
-                                {4, 3, 1, 3072, 512, 2, 24},
-                                {4, 4, 1, 3072, 512, 2, 24},
-                                {4, 5, 1, 3072, 512, 2, 28},
-                                {4, 6, 1, 3072, 512, 2, 24},
-                                {4, 7, 1, 3072, 512, 2, 38},
-                                {4, 8, 1, 3072, 512, 2, 24},
-                                {4, 1, 1, 3072, 1024, 2, 68},
-                                {4, 2, 1, 3072, 1024, 1, 56},
-                                {4, 3, 1, 3072, 1024, 1, 56},
-                                {4, 4, 1, 3072, 1024, 2, 66},
-                                {4, 5, 1, 3072, 1024, 2, 48},
-                                {4, 6, 1, 3072, 1024, 2, 56},
-                                {4, 7, 1, 3072, 1024, 2, 64},
-                                {4, 8, 1, 3072, 1024, 2, 56},
-                                {4, 1, 1, 3072, 2048, 2, 86},
-                                {4, 2, 1, 3072, 2048, 2, 96},
-                                {4, 3, 1, 3072, 2048, 2, 90},
-                                {4, 4, 1, 3072, 2048, 2, 128},
-                                {4, 5, 1, 3072, 2048, 2, 124},
-                                {4, 6, 1, 3072, 2048, 2, 98},
-                                {4, 7, 1, 3072, 2048, 2, 112},
-                                {4, 8, 1, 3072, 2048, 1, 126},
-                                {4, 1, 1, 3072, 3072, 1, 162},
-                                {4, 2, 1, 3072, 3072, 2, 96},
-                                {4, 3, 1, 3072, 3072, 2, 112},
-                                {4, 4, 1, 3072, 3072, 2, 136},
-                                {4, 5, 1, 3072, 3072, 1, 136},
-                                {4, 6, 1, 3072, 3072, 1, 156},
-                                {4, 7, 1, 3072, 3072, 1, 158},
-                                {4, 8, 1, 3072, 3072, 1, 156},
-                                {4, 1, 1, 3072, 4096, 2, 136},
-                                {4, 2, 1, 3072, 4096, 2, 160},
-                                {4, 3, 1, 3072, 4096, 2, 160},
-                                {4, 4, 1, 3072, 4096, 2, 152},
-                                {4, 5, 1, 3072, 4096, 2, 160},
-                                {4, 6, 1, 3072, 4096, 2, 160},
-                                {4, 7, 1, 3072, 4096, 2, 160},
-                                {4, 8, 1, 3072, 4096, 1, 160},
-                                {4, 1, 1, 3072, 5120, 2, 160},
-                                {4, 2, 1, 3072, 5120, 2, 152},
-                                {4, 3, 1, 3072, 5120, 2, 152},
-                                {4, 4, 1, 3072, 5120, 2, 160},
-                                {4, 5, 1, 3072, 5120, 2, 160},
-                                {4, 6, 1, 3072, 5120, 2, 160},
-                                {4, 7, 1, 3072, 5120, 2, 162},
-                                {4, 8, 1, 3072, 5120, 1, 160},
-                                {4, 1, 1, 3072, 8192, 2, 164},
-                                {4, 2, 1, 3072, 8192, 2, 158},
-                                {4, 3, 1, 3072, 8192, 2, 164},
-                                {4, 4, 1, 3072, 8192, 2, 164},
-                                {4, 5, 1, 3072, 8192, 2, 170},
-                                {4, 6, 1, 3072, 8192, 2, 160},
-                                {4, 7, 1, 3072, 8192, 2, 166},
-                                {4, 8, 1, 3072, 8192, 1, 160},
-                                {4, 1, 1, 3072, 12288, 2, 170},
-                                {4, 2, 1, 3072, 12288, 2, 168},
-                                {4, 3, 1, 3072, 12288, 2, 168},
-                                {4, 4, 1, 3072, 12288, 2, 168},
-                                {4, 5, 1, 3072, 12288, 2, 168},
-                                {4, 6, 1, 3072, 12288, 2, 160},
-                                {4, 7, 1, 3072, 12288, 2, 170},
-                                {4, 8, 1, 3072, 12288, 1, 168},
-                                {4, 1, 1, 3072, 14336, 2, 170},
-                                {4, 2, 1, 3072, 14336, 2, 170},
-                                {4, 3, 1, 3072, 14336, 2, 170},
-                                {4, 4, 1, 3072, 14336, 2, 168},
-                                {4, 5, 1, 3072, 14336, 2, 170},
-                                {4, 6, 1, 3072, 14336, 2, 168},
-                                {4, 7, 1, 3072, 14336, 2, 168},
-                                {4, 8, 1, 3072, 14336, 1, 168},
-                                {4, 1, 1, 3072, 16384, 2, 170},
-                                {4, 2, 1, 3072, 16384, 2, 164},
-                                {4, 3, 1, 3072, 16384, 2, 170},
-                                {4, 4, 1, 3072, 16384, 2, 170},
-                                {4, 5, 1, 3072, 16384, 2, 170},
-                                {4, 6, 1, 3072, 16384, 2, 170},
-                                {4, 7, 1, 3072, 16384, 2, 166},
-                                {4, 8, 1, 3072, 16384, 1, 164},
-                                {4, 1, 1, 3072, 24576, 2, 170},
-                                {4, 2, 1, 3072, 24576, 2, 168},
-                                {4, 3, 1, 3072, 24576, 2, 170},
-                                {4, 4, 1, 3072, 24576, 2, 168},
-                                {4, 5, 1, 3072, 24576, 2, 168},
-                                {4, 6, 1, 3072, 24576, 2, 170},
-                                {4, 7, 1, 3072, 24576, 2, 166},
-                                {4, 8, 1, 3072, 24576, 1, 168},
-                                {4, 1, 1, 3072, 51200, 2, 168},
-                                {4, 2, 1, 3072, 51200, 2, 170},
-                                {4, 3, 1, 3072, 51200, 2, 170},
-                                {4, 4, 1, 3072, 51200, 2, 170},
-                                {4, 5, 1, 3072, 51200, 2, 170},
-                                {4, 6, 1, 3072, 51200, 2, 160},
-                                {4, 7, 1, 3072, 51200, 2, 166},
-                                {4, 8, 1, 3072, 51200, 2, 168},
-                                {4, 1, 1, 3072, 128000, 2, 170},
-                                {4, 2, 1, 3072, 128000, 2, 170},
-                                {4, 3, 1, 3072, 128000, 2, 170},
-                                {4, 4, 1, 3072, 128000, 2, 170},
-                                {4, 5, 1, 3072, 128000, 2, 170},
-                                {4, 6, 1, 3072, 128000, 2, 166},
-                                {4, 7, 1, 3072, 128000, 2, 166},
-                                {4, 8, 1, 3072, 128000, 2, 170},
-                                {4, 1, 1, 4096, 128, 2, 8},
-                                {4, 2, 1, 4096, 128, 2, 8},
-                                {4, 3, 1, 4096, 128, 2, 8},
-                                {4, 4, 1, 4096, 128, 2, 6},
-                                {4, 5, 1, 4096, 128, 1, 8},
-                                {4, 6, 1, 4096, 128, 2, 12},
-                                {4, 7, 1, 4096, 128, 2, 10},
-                                {4, 8, 1, 4096, 128, 2, 8},
-                                {4, 1, 1, 4096, 256, 2, 16},
-                                {4, 2, 1, 4096, 256, 2, 14},
-                                {4, 3, 1, 4096, 256, 2, 14},
-                                {4, 4, 1, 4096, 256, 2, 16},
-                                {4, 5, 1, 4096, 256, 2, 18},
-                                {4, 6, 1, 4096, 256, 2, 24},
-                                {4, 7, 1, 4096, 256, 2, 16},
-                                {4, 8, 1, 4096, 256, 2, 16},
-                                {4, 1, 1, 4096, 512, 2, 32},
-                                {4, 2, 1, 4096, 512, 2, 32},
-                                {4, 3, 1, 4096, 512, 2, 32},
-                                {4, 4, 1, 4096, 512, 2, 32},
-                                {4, 5, 1, 4096, 512, 2, 26},
-                                {4, 6, 1, 4096, 512, 2, 38},
-                                {4, 7, 1, 4096, 512, 2, 32},
-                                {4, 8, 1, 4096, 512, 2, 32},
-                                {4, 1, 1, 4096, 1024, 2, 56},
-                                {4, 2, 1, 4096, 1024, 2, 64},
-                                {4, 3, 1, 4096, 1024, 2, 64},
-                                {4, 4, 1, 4096, 1024, 2, 64},
-                                {4, 5, 1, 4096, 1024, 2, 48},
-                                {4, 6, 1, 4096, 1024, 2, 64},
-                                {4, 7, 1, 4096, 1024, 2, 62},
-                                {4, 8, 1, 4096, 1024, 2, 48},
-                                {4, 1, 1, 4096, 2048, 2, 128},
-                                {4, 2, 1, 4096, 2048, 2, 108},
-                                {4, 3, 1, 4096, 2048, 2, 108},
-                                {4, 4, 1, 4096, 2048, 2, 120},
-                                {4, 5, 1, 4096, 2048, 2, 128},
-                                {4, 6, 1, 4096, 2048, 2, 108},
-                                {4, 7, 1, 4096, 2048, 2, 128},
-                                {4, 8, 1, 4096, 2048, 2, 104},
-                                {4, 1, 1, 4096, 3072, 2, 160},
-                                {4, 2, 1, 4096, 3072, 2, 140},
-                                {4, 3, 1, 4096, 3072, 2, 162},
-                                {4, 4, 1, 4096, 3072, 2, 136},
-                                {4, 5, 1, 4096, 3072, 2, 170},
-                                {4, 6, 1, 4096, 3072, 2, 156},
-                                {4, 7, 1, 4096, 3072, 2, 168},
-                                {4, 8, 1, 4096, 3072, 2, 120},
-                                {4, 1, 1, 4096, 4096, 2, 128},
-                                {4, 2, 1, 4096, 4096, 2, 152},
-                                {4, 3, 1, 4096, 4096, 2, 156},
-                                {4, 4, 1, 4096, 4096, 2, 160},
-                                {4, 5, 1, 4096, 4096, 2, 154},
-                                {4, 6, 1, 4096, 4096, 2, 160},
-                                {4, 7, 1, 4096, 4096, 2, 160},
-                                {4, 8, 1, 4096, 4096, 2, 126},
-                                {4, 1, 1, 4096, 5120, 2, 160},
-                                {4, 2, 1, 4096, 5120, 2, 160},
-                                {4, 3, 1, 4096, 5120, 2, 158},
-                                {4, 4, 1, 4096, 5120, 2, 162},
-                                {4, 5, 1, 4096, 5120, 2, 160},
-                                {4, 6, 1, 4096, 5120, 2, 158},
-                                {4, 7, 1, 4096, 5120, 2, 160},
-                                {4, 8, 1, 4096, 5120, 1, 160},
-                                {4, 1, 1, 4096, 8192, 2, 168},
-                                {4, 2, 1, 4096, 8192, 2, 170},
-                                {4, 3, 1, 4096, 8192, 2, 170},
-                                {4, 4, 1, 4096, 8192, 2, 164},
-                                {4, 5, 1, 4096, 8192, 2, 168},
-                                {4, 6, 1, 4096, 8192, 2, 170},
-                                {4, 7, 1, 4096, 8192, 2, 166},
-                                {4, 8, 1, 4096, 8192, 1, 160},
-                                {4, 1, 1, 4096, 12288, 2, 162},
-                                {4, 2, 1, 4096, 12288, 2, 170},
-                                {4, 3, 1, 4096, 12288, 2, 170},
-                                {4, 4, 1, 4096, 12288, 2, 168},
-                                {4, 5, 1, 4096, 12288, 2, 168},
-                                {4, 6, 1, 4096, 12288, 2, 160},
-                                {4, 7, 1, 4096, 12288, 2, 166},
-                                {4, 8, 1, 4096, 12288, 1, 162},
-                                {4, 1, 1, 4096, 14336, 2, 170},
-                                {4, 2, 1, 4096, 14336, 2, 170},
-                                {4, 3, 1, 4096, 14336, 2, 168},
-                                {4, 4, 1, 4096, 14336, 2, 168},
-                                {4, 5, 1, 4096, 14336, 2, 168},
-                                {4, 6, 1, 4096, 14336, 2, 168},
-                                {4, 7, 1, 4096, 14336, 2, 168},
-                                {4, 8, 1, 4096, 14336, 1, 168},
-                                {4, 1, 1, 4096, 16384, 2, 170},
-                                {4, 2, 1, 4096, 16384, 2, 166},
-                                {4, 3, 1, 4096, 16384, 2, 170},
-                                {4, 4, 1, 4096, 16384, 2, 170},
-                                {4, 5, 1, 4096, 16384, 2, 168},
-                                {4, 6, 1, 4096, 16384, 2, 170},
-                                {4, 7, 1, 4096, 16384, 2, 170},
-                                {4, 8, 1, 4096, 16384, 1, 168},
-                                {4, 1, 1, 4096, 24576, 2, 170},
-                                {4, 2, 1, 4096, 24576, 2, 170},
-                                {4, 3, 1, 4096, 24576, 2, 170},
-                                {4, 4, 1, 4096, 24576, 2, 168},
-                                {4, 5, 1, 4096, 24576, 2, 168},
-                                {4, 6, 1, 4096, 24576, 2, 168},
-                                {4, 7, 1, 4096, 24576, 2, 168},
-                                {4, 8, 1, 4096, 24576, 1, 168},
-                                {4, 1, 1, 4096, 51200, 2, 170},
-                                {4, 2, 1, 4096, 51200, 2, 170},
-                                {4, 3, 1, 4096, 51200, 2, 170},
-                                {4, 4, 1, 4096, 51200, 2, 170},
-                                {4, 5, 1, 4096, 51200, 2, 170},
-                                {4, 6, 1, 4096, 51200, 2, 160},
-                                {4, 7, 1, 4096, 51200, 2, 166},
-                                {4, 8, 1, 4096, 51200, 2, 164},
-                                {4, 1, 1, 4096, 128000, 2, 170},
-                                {4, 2, 1, 4096, 128000, 2, 170},
-                                {4, 3, 1, 4096, 128000, 2, 170},
-                                {4, 4, 1, 4096, 128000, 2, 170},
-                                {4, 5, 1, 4096, 128000, 2, 170},
-                                {4, 6, 1, 4096, 128000, 2, 170},
-                                {4, 7, 1, 4096, 128000, 2, 166},
-                                {4, 8, 1, 4096, 128000, 2, 166},
-                                {4, 1, 1, 5120, 128, 2, 6},
-                                {4, 2, 1, 5120, 128, 1, 8},
-                                {4, 3, 1, 5120, 128, 2, 6},
-                                {4, 4, 1, 5120, 128, 2, 8},
-                                {4, 5, 1, 5120, 128, 2, 10},
-                                {4, 6, 1, 5120, 128, 2, 8},
-                                {4, 7, 1, 5120, 128, 2, 10},
-                                {4, 8, 1, 5120, 128, 2, 8},
-                                {4, 1, 1, 5120, 256, 2, 16},
-                                {4, 2, 1, 5120, 256, 2, 16},
-                                {4, 3, 1, 5120, 256, 2, 22},
-                                {4, 4, 1, 5120, 256, 2, 18},
-                                {4, 5, 1, 5120, 256, 2, 16},
-                                {4, 6, 1, 5120, 256, 2, 16},
-                                {4, 7, 1, 5120, 256, 2, 20},
-                                {4, 8, 1, 5120, 256, 2, 16},
-                                {4, 1, 1, 5120, 512, 2, 30},
-                                {4, 2, 1, 5120, 512, 2, 34},
-                                {4, 3, 1, 5120, 512, 2, 40},
-                                {4, 4, 1, 5120, 512, 2, 34},
-                                {4, 5, 1, 5120, 512, 2, 32},
-                                {4, 6, 1, 5120, 512, 2, 32},
-                                {4, 7, 1, 5120, 512, 2, 40},
-                                {4, 8, 1, 5120, 512, 2, 36},
-                                {4, 1, 1, 5120, 1024, 2, 48},
-                                {4, 2, 1, 5120, 1024, 2, 88},
-                                {4, 3, 1, 5120, 1024, 2, 72},
-                                {4, 4, 1, 5120, 1024, 2, 72},
-                                {4, 5, 1, 5120, 1024, 2, 76},
-                                {4, 6, 1, 5120, 1024, 2, 56},
-                                {4, 7, 1, 5120, 1024, 2, 72},
-                                {4, 8, 1, 5120, 1024, 2, 56},
-                                {4, 1, 1, 5120, 2048, 2, 138},
-                                {4, 2, 1, 5120, 2048, 2, 112},
-                                {4, 3, 1, 5120, 2048, 2, 128},
-                                {4, 4, 1, 5120, 2048, 2, 104},
-                                {4, 5, 1, 5120, 2048, 2, 112},
-                                {4, 6, 1, 5120, 2048, 2, 120},
-                                {4, 7, 1, 5120, 2048, 2, 142},
-                                {4, 8, 1, 5120, 2048, 2, 112},
-                                {4, 1, 1, 5120, 3072, 2, 168},
-                                {4, 2, 1, 5120, 3072, 2, 168},
-                                {4, 3, 1, 5120, 3072, 2, 168},
-                                {4, 4, 1, 5120, 3072, 2, 168},
-                                {4, 5, 1, 5120, 3072, 2, 168},
-                                {4, 6, 1, 5120, 3072, 2, 168},
-                                {4, 7, 1, 5120, 3072, 2, 168},
-                                {4, 8, 1, 5120, 3072, 1, 168},
-                                {4, 1, 1, 5120, 4096, 2, 162},
-                                {4, 2, 1, 5120, 4096, 2, 160},
-                                {4, 3, 1, 5120, 4096, 2, 166},
-                                {4, 4, 1, 5120, 4096, 2, 168},
-                                {4, 5, 1, 5120, 4096, 2, 156},
-                                {4, 6, 1, 5120, 4096, 2, 160},
-                                {4, 7, 1, 5120, 4096, 2, 160},
-                                {4, 8, 1, 5120, 4096, 1, 160},
-                                {4, 1, 1, 5120, 5120, 2, 160},
-                                {4, 2, 1, 5120, 5120, 2, 160},
-                                {4, 3, 1, 5120, 5120, 2, 146},
-                                {4, 4, 1, 5120, 5120, 2, 152},
-                                {4, 5, 1, 5120, 5120, 2, 160},
-                                {4, 6, 1, 5120, 5120, 2, 160},
-                                {4, 7, 1, 5120, 5120, 2, 160},
-                                {4, 8, 1, 5120, 5120, 1, 160},
-                                {4, 1, 1, 5120, 8192, 2, 170},
-                                {4, 2, 1, 5120, 8192, 2, 168},
-                                {4, 3, 1, 5120, 8192, 2, 168},
-                                {4, 4, 1, 5120, 8192, 2, 164},
-                                {4, 5, 1, 5120, 8192, 2, 164},
-                                {4, 6, 1, 5120, 8192, 2, 160},
-                                {4, 7, 1, 5120, 8192, 2, 170},
-                                {4, 8, 1, 5120, 8192, 1, 160},
-                                {4, 1, 1, 5120, 12288, 2, 170},
-                                {4, 2, 1, 5120, 12288, 2, 170},
-                                {4, 3, 1, 5120, 12288, 2, 168},
-                                {4, 4, 1, 5120, 12288, 2, 168},
-                                {4, 5, 1, 5120, 12288, 2, 168},
-                                {4, 6, 1, 5120, 12288, 2, 160},
-                                {4, 7, 1, 5120, 12288, 2, 170},
-                                {4, 8, 1, 5120, 12288, 1, 168},
-                                {4, 1, 1, 5120, 14336, 2, 170},
-                                {4, 2, 1, 5120, 14336, 2, 168},
-                                {4, 3, 1, 5120, 14336, 2, 170},
-                                {4, 4, 1, 5120, 14336, 2, 168},
-                                {4, 5, 1, 5120, 14336, 2, 168},
-                                {4, 6, 1, 5120, 14336, 2, 168},
-                                {4, 7, 1, 5120, 14336, 2, 168},
-                                {4, 8, 1, 5120, 14336, 1, 168},
-                                {4, 1, 1, 5120, 16384, 2, 170},
-                                {4, 2, 1, 5120, 16384, 2, 170},
-                                {4, 3, 1, 5120, 16384, 2, 170},
-                                {4, 4, 1, 5120, 16384, 2, 170},
-                                {4, 5, 1, 5120, 16384, 2, 168},
-                                {4, 6, 1, 5120, 16384, 2, 170},
-                                {4, 7, 1, 5120, 16384, 2, 166},
-                                {4, 8, 1, 5120, 16384, 1, 168},
-                                {4, 1, 1, 5120, 24576, 2, 170},
-                                {4, 2, 1, 5120, 24576, 2, 170},
-                                {4, 3, 1, 5120, 24576, 2, 170},
-                                {4, 4, 1, 5120, 24576, 2, 168},
-                                {4, 5, 1, 5120, 24576, 2, 168},
-                                {4, 6, 1, 5120, 24576, 2, 168},
-                                {4, 7, 1, 5120, 24576, 2, 166},
-                                {4, 8, 1, 5120, 24576, 1, 168},
-                                {4, 1, 1, 5120, 51200, 2, 170},
-                                {4, 2, 1, 5120, 51200, 2, 170},
-                                {4, 3, 1, 5120, 51200, 2, 170},
-                                {4, 4, 1, 5120, 51200, 2, 168},
-                                {4, 5, 1, 5120, 51200, 2, 170},
-                                {4, 6, 1, 5120, 51200, 2, 160},
-                                {4, 7, 1, 5120, 51200, 2, 170},
-                                {4, 8, 1, 5120, 51200, 2, 164},
-                                {4, 1, 1, 5120, 128000, 2, 170},
-                                {4, 2, 1, 5120, 128000, 2, 170},
-                                {4, 3, 1, 5120, 128000, 2, 170},
-                                {4, 4, 1, 5120, 128000, 2, 170},
-                                {4, 5, 1, 5120, 128000, 2, 170},
-                                {4, 6, 1, 5120, 128000, 2, 170},
-                                {4, 7, 1, 5120, 128000, 2, 170},
-                                {4, 8, 1, 5120, 128000, 2, 166},
-                                {4, 1, 1, 8192, 128, 2, 10},
-                                {4, 2, 1, 8192, 128, 2, 10},
-                                {4, 3, 1, 8192, 128, 2, 10},
-                                {4, 4, 1, 8192, 128, 2, 10},
-                                {4, 5, 1, 8192, 128, 2, 8},
-                                {4, 6, 1, 8192, 128, 2, 8},
-                                {4, 7, 1, 8192, 128, 2, 16},
-                                {4, 8, 1, 8192, 128, 2, 10},
-                                {4, 1, 1, 8192, 256, 2, 22},
-                                {4, 2, 1, 8192, 256, 2, 22},
-                                {4, 3, 1, 8192, 256, 2, 20},
-                                {4, 4, 1, 8192, 256, 2, 16},
-                                {4, 5, 1, 8192, 256, 2, 24},
-                                {4, 6, 1, 8192, 256, 2, 22},
-                                {4, 7, 1, 8192, 256, 2, 20},
-                                {4, 8, 1, 8192, 256, 2, 20},
-                                {4, 1, 1, 8192, 512, 2, 32},
-                                {4, 2, 1, 8192, 512, 2, 36},
-                                {4, 3, 1, 8192, 512, 2, 40},
-                                {4, 4, 1, 8192, 512, 2, 38},
-                                {4, 5, 1, 8192, 512, 2, 40},
-                                {4, 6, 1, 8192, 512, 2, 44},
-                                {4, 7, 1, 8192, 512, 2, 48},
-                                {4, 8, 1, 8192, 512, 2, 32},
-                                {4, 1, 1, 8192, 1024, 2, 64},
-                                {4, 2, 1, 8192, 1024, 2, 72},
-                                {4, 3, 1, 8192, 1024, 2, 80},
-                                {4, 4, 1, 8192, 1024, 2, 64},
-                                {4, 5, 1, 8192, 1024, 2, 88},
-                                {4, 6, 1, 8192, 1024, 2, 72},
-                                {4, 7, 1, 8192, 1024, 2, 80},
-                                {4, 8, 1, 8192, 1024, 2, 80},
-                                {4, 1, 1, 8192, 2048, 2, 144},
-                                {4, 2, 1, 8192, 2048, 2, 152},
-                                {4, 3, 1, 8192, 2048, 2, 156},
-                                {4, 4, 1, 8192, 2048, 2, 112},
-                                {4, 5, 1, 8192, 2048, 2, 152},
-                                {4, 6, 1, 8192, 2048, 2, 160},
-                                {4, 7, 1, 8192, 2048, 2, 156},
-                                {4, 8, 1, 8192, 2048, 2, 128},
-                                {4, 1, 1, 8192, 3072, 2, 156},
-                                {4, 2, 1, 8192, 3072, 2, 168},
-                                {4, 3, 1, 8192, 3072, 2, 168},
-                                {4, 4, 1, 8192, 3072, 2, 168},
-                                {4, 5, 1, 8192, 3072, 2, 168},
-                                {4, 6, 1, 8192, 3072, 2, 168},
-                                {4, 7, 1, 8192, 3072, 2, 168},
-                                {4, 8, 1, 8192, 3072, 1, 164},
-                                {4, 1, 1, 8192, 4096, 2, 156},
-                                {4, 2, 1, 8192, 4096, 2, 170},
-                                {4, 3, 1, 8192, 4096, 2, 170},
-                                {4, 4, 1, 8192, 4096, 2, 160},
-                                {4, 5, 1, 8192, 4096, 2, 162},
-                                {4, 6, 1, 8192, 4096, 2, 160},
-                                {4, 7, 1, 8192, 4096, 2, 160},
-                                {4, 8, 1, 8192, 4096, 1, 160},
-                                {4, 1, 1, 8192, 5120, 2, 168},
-                                {4, 2, 1, 8192, 5120, 2, 166},
-                                {4, 3, 1, 8192, 5120, 2, 168},
-                                {4, 4, 1, 8192, 5120, 2, 160},
-                                {4, 5, 1, 8192, 5120, 2, 166},
-                                {4, 6, 1, 8192, 5120, 2, 160},
-                                {4, 7, 1, 8192, 5120, 2, 160},
-                                {4, 8, 1, 8192, 5120, 1, 160},
-                                {4, 1, 1, 8192, 8192, 2, 170},
-                                {4, 2, 1, 8192, 8192, 2, 170},
-                                {4, 3, 1, 8192, 8192, 2, 170},
-                                {4, 4, 1, 8192, 8192, 2, 170},
-                                {4, 5, 1, 8192, 8192, 2, 170},
-                                {4, 6, 1, 8192, 8192, 2, 170},
-                                {4, 7, 1, 8192, 8192, 2, 170},
-                                {4, 8, 1, 8192, 8192, 2, 128},
-                                {4, 1, 1, 8192, 12288, 2, 170},
-                                {4, 2, 1, 8192, 12288, 2, 170},
-                                {4, 3, 1, 8192, 12288, 2, 170},
-                                {4, 4, 1, 8192, 12288, 2, 168},
-                                {4, 5, 1, 8192, 12288, 2, 168},
-                                {4, 6, 1, 8192, 12288, 2, 160},
-                                {4, 7, 1, 8192, 12288, 2, 168},
-                                {4, 8, 1, 8192, 12288, 2, 144},
-                                {4, 1, 1, 8192, 14336, 2, 170},
-                                {4, 2, 1, 8192, 14336, 2, 170},
-                                {4, 3, 1, 8192, 14336, 2, 168},
-                                {4, 4, 1, 8192, 14336, 2, 168},
-                                {4, 5, 1, 8192, 14336, 2, 168},
-                                {4, 6, 1, 8192, 14336, 2, 168},
-                                {4, 7, 1, 8192, 14336, 2, 168},
-                                {4, 8, 1, 8192, 14336, 1, 168},
-                                {4, 1, 1, 8192, 16384, 2, 170},
-                                {4, 2, 1, 8192, 16384, 2, 170},
-                                {4, 3, 1, 8192, 16384, 2, 170},
-                                {4, 4, 1, 8192, 16384, 2, 170},
-                                {4, 5, 1, 8192, 16384, 2, 168},
-                                {4, 6, 1, 8192, 16384, 2, 170},
-                                {4, 7, 1, 8192, 16384, 2, 170},
-                                {4, 8, 1, 8192, 16384, 1, 168},
-                                {4, 1, 1, 8192, 24576, 2, 170},
-                                {4, 2, 1, 8192, 24576, 2, 170},
-                                {4, 3, 1, 8192, 24576, 2, 170},
-                                {4, 4, 1, 8192, 24576, 2, 168},
-                                {4, 5, 1, 8192, 24576, 2, 168},
-                                {4, 6, 1, 8192, 24576, 2, 168},
-                                {4, 7, 1, 8192, 24576, 2, 168},
-                                {4, 8, 1, 8192, 24576, 1, 168},
-                                {4, 1, 1, 8192, 51200, 2, 170},
-                                {4, 2, 1, 8192, 51200, 2, 170},
-                                {4, 3, 1, 8192, 51200, 2, 170},
-                                {4, 4, 1, 8192, 51200, 2, 170},
-                                {4, 5, 1, 8192, 51200, 2, 168},
-                                {4, 6, 1, 8192, 51200, 2, 160},
-                                {4, 7, 1, 8192, 51200, 2, 170},
-                                {4, 8, 1, 8192, 51200, 2, 160},
-                                {4, 1, 1, 8192, 128000, 2, 170},
-                                {4, 2, 1, 8192, 128000, 2, 170},
-                                {4, 3, 1, 8192, 128000, 2, 170},
-                                {4, 4, 1, 8192, 128000, 2, 170},
-                                {4, 5, 1, 8192, 128000, 2, 170},
-                                {4, 6, 1, 8192, 128000, 2, 170},
-                                {4, 7, 1, 8192, 128000, 2, 166},
-                                {4, 8, 1, 8192, 128000, 2, 166},
-                                {4, 1, 1, 12288, 128, 2, 12},
-                                {4, 2, 1, 12288, 128, 2, 12},
-                                {4, 3, 1, 12288, 128, 2, 12},
-                                {4, 4, 1, 12288, 128, 2, 12},
-                                {4, 5, 1, 12288, 128, 2, 12},
-                                {4, 6, 1, 12288, 128, 2, 12},
-                                {4, 7, 1, 12288, 128, 2, 16},
-                                {4, 8, 1, 12288, 128, 2, 12},
-                                {4, 1, 1, 12288, 256, 2, 24},
-                                {4, 2, 1, 12288, 256, 2, 24},
-                                {4, 3, 1, 12288, 256, 2, 24},
-                                {4, 4, 1, 12288, 256, 2, 24},
-                                {4, 5, 1, 12288, 256, 2, 26},
-                                {4, 6, 1, 12288, 256, 2, 24},
-                                {4, 7, 1, 12288, 256, 2, 26},
-                                {4, 8, 1, 12288, 256, 2, 24},
-                                {4, 1, 1, 12288, 512, 2, 48},
-                                {4, 2, 1, 12288, 512, 2, 48},
-                                {4, 3, 1, 12288, 512, 2, 44},
-                                {4, 4, 1, 12288, 512, 2, 48},
-                                {4, 5, 1, 12288, 512, 2, 42},
-                                {4, 6, 1, 12288, 512, 2, 48},
-                                {4, 7, 1, 12288, 512, 2, 56},
-                                {4, 8, 1, 12288, 512, 2, 48},
-                                {4, 1, 1, 12288, 1024, 2, 88},
-                                {4, 2, 1, 12288, 1024, 2, 94},
-                                {4, 3, 1, 12288, 1024, 2, 88},
-                                {4, 4, 1, 12288, 1024, 2, 100},
-                                {4, 5, 1, 12288, 1024, 2, 112},
-                                {4, 6, 1, 12288, 1024, 2, 110},
-                                {4, 7, 1, 12288, 1024, 2, 120},
-                                {4, 8, 1, 12288, 1024, 2, 98},
-                                {4, 1, 1, 12288, 2048, 2, 156},
-                                {4, 2, 1, 12288, 2048, 2, 152},
-                                {4, 3, 1, 12288, 2048, 2, 162},
-                                {4, 4, 1, 12288, 2048, 2, 160},
-                                {4, 5, 1, 12288, 2048, 2, 160},
-                                {4, 6, 1, 12288, 2048, 2, 168},
-                                {4, 7, 1, 12288, 2048, 2, 160},
-                                {4, 8, 1, 12288, 2048, 2, 128},
-                                {4, 1, 1, 12288, 3072, 2, 168},
-                                {4, 2, 1, 12288, 3072, 2, 168},
-                                {4, 3, 1, 12288, 3072, 2, 168},
-                                {4, 4, 1, 12288, 3072, 2, 168},
-                                {4, 5, 1, 12288, 3072, 2, 168},
-                                {4, 6, 1, 12288, 3072, 2, 168},
-                                {4, 7, 1, 12288, 3072, 2, 168},
-                                {4, 8, 1, 12288, 3072, 1, 168},
-                                {4, 1, 1, 12288, 4096, 2, 170},
-                                {4, 2, 1, 12288, 4096, 2, 168},
-                                {4, 3, 1, 12288, 4096, 2, 170},
-                                {4, 4, 1, 12288, 4096, 2, 160},
-                                {4, 5, 1, 12288, 4096, 2, 168},
-                                {4, 6, 1, 12288, 4096, 2, 160},
-                                {4, 7, 1, 12288, 4096, 2, 166},
-                                {4, 8, 1, 12288, 4096, 1, 160},
-                                {4, 1, 1, 12288, 5120, 2, 164},
-                                {4, 2, 1, 12288, 5120, 2, 164},
-                                {4, 3, 1, 12288, 5120, 2, 170},
-                                {4, 4, 1, 12288, 5120, 2, 160},
-                                {4, 5, 1, 12288, 5120, 2, 168},
-                                {4, 6, 1, 12288, 5120, 2, 160},
-                                {4, 7, 1, 12288, 5120, 2, 160},
-                                {4, 8, 1, 12288, 5120, 1, 160},
-                                {4, 1, 1, 12288, 8192, 2, 170},
-                                {4, 2, 1, 12288, 8192, 2, 170},
-                                {4, 3, 1, 12288, 8192, 2, 170},
-                                {4, 4, 1, 12288, 8192, 2, 170},
-                                {4, 5, 1, 12288, 8192, 2, 170},
-                                {4, 6, 1, 12288, 8192, 2, 160},
-                                {4, 7, 1, 12288, 8192, 2, 168},
-                                {4, 8, 1, 12288, 8192, 1, 160},
-                                {4, 1, 1, 12288, 12288, 2, 170},
-                                {4, 2, 1, 12288, 12288, 2, 170},
-                                {4, 3, 1, 12288, 12288, 2, 170},
-                                {4, 4, 1, 12288, 12288, 2, 168},
-                                {4, 5, 1, 12288, 12288, 2, 168},
-                                {4, 6, 1, 12288, 12288, 2, 168},
-                                {4, 7, 1, 12288, 12288, 2, 168},
-                                {4, 8, 1, 12288, 12288, 1, 162},
-                                {4, 1, 1, 12288, 14336, 2, 170},
-                                {4, 2, 1, 12288, 14336, 2, 170},
-                                {4, 3, 1, 12288, 14336, 2, 168},
-                                {4, 4, 1, 12288, 14336, 2, 168},
-                                {4, 5, 1, 12288, 14336, 2, 168},
-                                {4, 6, 1, 12288, 14336, 2, 168},
-                                {4, 7, 1, 12288, 14336, 2, 168},
-                                {4, 8, 1, 12288, 14336, 1, 168},
-                                {4, 1, 1, 12288, 16384, 2, 170},
-                                {4, 2, 1, 12288, 16384, 2, 170},
-                                {4, 3, 1, 12288, 16384, 2, 170},
-                                {4, 4, 1, 12288, 16384, 2, 168},
-                                {4, 5, 1, 12288, 16384, 2, 168},
-                                {4, 6, 1, 12288, 16384, 2, 168},
-                                {4, 7, 1, 12288, 16384, 2, 166},
-                                {4, 8, 1, 12288, 16384, 1, 168},
-                                {4, 1, 1, 12288, 24576, 2, 170},
-                                {4, 2, 1, 12288, 24576, 2, 170},
-                                {4, 3, 1, 12288, 24576, 2, 170},
-                                {4, 4, 1, 12288, 24576, 2, 168},
-                                {4, 5, 1, 12288, 24576, 2, 170},
-                                {4, 6, 1, 12288, 24576, 2, 160},
-                                {4, 7, 1, 12288, 24576, 2, 168},
-                                {4, 8, 1, 12288, 24576, 1, 168},
-                                {4, 1, 1, 12288, 51200, 2, 170},
-                                {4, 2, 1, 12288, 51200, 2, 170},
-                                {4, 3, 1, 12288, 51200, 2, 170},
-                                {4, 4, 1, 12288, 51200, 2, 170},
-                                {4, 5, 1, 12288, 51200, 2, 170},
-                                {4, 6, 1, 12288, 51200, 2, 160},
-                                {4, 7, 1, 12288, 51200, 2, 170},
-                                {4, 8, 1, 12288, 51200, 2, 166},
-                                {4, 1, 1, 12288, 128000, 2, 170},
-                                {4, 2, 1, 12288, 128000, 2, 170},
-                                {4, 3, 1, 12288, 128000, 2, 170},
-                                {4, 4, 1, 12288, 128000, 2, 170},
-                                {4, 5, 1, 12288, 128000, 2, 170},
-                                {4, 6, 1, 12288, 128000, 2, 170},
-                                {4, 7, 1, 12288, 128000, 2, 170},
-                                {4, 8, 1, 12288, 128000, 2, 164},
-                                {4, 1, 1, 14336, 128, 2, 16},
-                                {4, 2, 1, 14336, 128, 2, 16},
-                                {4, 3, 1, 14336, 128, 2, 14},
-                                {4, 4, 1, 14336, 128, 2, 14},
-                                {4, 5, 1, 14336, 128, 2, 14},
-                                {4, 6, 1, 14336, 128, 2, 12},
-                                {4, 7, 1, 14336, 128, 2, 16},
-                                {4, 8, 1, 14336, 128, 2, 16},
-                                {4, 1, 1, 14336, 256, 2, 32},
-                                {4, 2, 1, 14336, 256, 2, 28},
-                                {4, 3, 1, 14336, 256, 2, 26},
-                                {4, 4, 1, 14336, 256, 2, 28},
-                                {4, 5, 1, 14336, 256, 2, 26},
-                                {4, 6, 1, 14336, 256, 2, 30},
-                                {4, 7, 1, 14336, 256, 2, 32},
-                                {4, 8, 1, 14336, 256, 2, 26},
-                                {4, 1, 1, 14336, 512, 2, 48},
-                                {4, 2, 1, 14336, 512, 2, 56},
-                                {4, 3, 1, 14336, 512, 2, 48},
-                                {4, 4, 1, 14336, 512, 2, 48},
-                                {4, 5, 1, 14336, 512, 2, 56},
-                                {4, 6, 1, 14336, 512, 2, 56},
-                                {4, 7, 1, 14336, 512, 2, 64},
-                                {4, 8, 1, 14336, 512, 2, 56},
-                                {4, 1, 1, 14336, 1024, 2, 104},
-                                {4, 2, 1, 14336, 1024, 2, 104},
-                                {4, 3, 1, 14336, 1024, 2, 96},
-                                {4, 4, 1, 14336, 1024, 2, 104},
-                                {4, 5, 1, 14336, 1024, 2, 112},
-                                {4, 6, 1, 14336, 1024, 2, 106},
-                                {4, 7, 1, 14336, 1024, 2, 152},
-                                {4, 8, 1, 14336, 1024, 2, 112},
-                                {4, 1, 1, 14336, 2048, 2, 162},
-                                {4, 2, 1, 14336, 2048, 2, 164},
-                                {4, 3, 1, 14336, 2048, 2, 170},
-                                {4, 4, 1, 14336, 2048, 2, 160},
-                                {4, 5, 1, 14336, 2048, 2, 168},
-                                {4, 6, 1, 14336, 2048, 2, 160},
-                                {4, 7, 1, 14336, 2048, 2, 160},
-                                {4, 8, 1, 14336, 2048, 2, 128},
-                                {4, 1, 1, 14336, 3072, 2, 168},
-                                {4, 2, 1, 14336, 3072, 2, 168},
-                                {4, 3, 1, 14336, 3072, 2, 168},
-                                {4, 4, 1, 14336, 3072, 2, 168},
-                                {4, 5, 1, 14336, 3072, 2, 168},
-                                {4, 6, 1, 14336, 3072, 2, 168},
-                                {4, 7, 1, 14336, 3072, 2, 168},
-                                {4, 8, 1, 14336, 3072, 1, 168},
-                                {4, 1, 1, 14336, 4096, 2, 170},
-                                {4, 2, 1, 14336, 4096, 2, 170},
-                                {4, 3, 1, 14336, 4096, 2, 170},
-                                {4, 4, 1, 14336, 4096, 2, 168},
-                                {4, 5, 1, 14336, 4096, 2, 168},
-                                {4, 6, 1, 14336, 4096, 2, 160},
-                                {4, 7, 1, 14336, 4096, 2, 160},
-                                {4, 8, 1, 14336, 4096, 1, 160},
-                                {4, 1, 1, 14336, 5120, 2, 170},
-                                {4, 2, 1, 14336, 5120, 2, 170},
-                                {4, 3, 1, 14336, 5120, 2, 170},
-                                {4, 4, 1, 14336, 5120, 2, 160},
-                                {4, 5, 1, 14336, 5120, 2, 170},
-                                {4, 6, 1, 14336, 5120, 2, 160},
-                                {4, 7, 1, 14336, 5120, 2, 160},
-                                {4, 8, 1, 14336, 5120, 1, 160},
-                                {4, 1, 1, 14336, 8192, 2, 170},
-                                {4, 2, 1, 14336, 8192, 2, 170},
-                                {4, 3, 1, 14336, 8192, 2, 170},
-                                {4, 4, 1, 14336, 8192, 2, 168},
-                                {4, 5, 1, 14336, 8192, 2, 168},
-                                {4, 6, 1, 14336, 8192, 2, 168},
-                                {4, 7, 1, 14336, 8192, 2, 168},
-                                {4, 8, 1, 14336, 8192, 1, 160},
-                                {4, 1, 1, 14336, 12288, 2, 170},
-                                {4, 2, 1, 14336, 12288, 2, 170},
-                                {4, 3, 1, 14336, 12288, 2, 170},
-                                {4, 4, 1, 14336, 12288, 2, 168},
-                                {4, 5, 1, 14336, 12288, 2, 170},
-                                {4, 6, 1, 14336, 12288, 2, 168},
-                                {4, 7, 1, 14336, 12288, 2, 168},
-                                {4, 8, 1, 14336, 12288, 2, 144},
-                                {4, 1, 1, 14336, 14336, 2, 170},
-                                {4, 2, 1, 14336, 14336, 2, 170},
-                                {4, 3, 1, 14336, 14336, 2, 170},
-                                {4, 4, 1, 14336, 14336, 2, 168},
-                                {4, 5, 1, 14336, 14336, 2, 168},
-                                {4, 6, 1, 14336, 14336, 2, 168},
-                                {4, 7, 1, 14336, 14336, 2, 168},
-                                {4, 8, 1, 14336, 14336, 1, 168},
-                                {4, 1, 1, 14336, 16384, 2, 170},
-                                {4, 2, 1, 14336, 16384, 2, 170},
-                                {4, 3, 1, 14336, 16384, 2, 170},
-                                {4, 4, 1, 14336, 16384, 2, 168},
-                                {4, 5, 1, 14336, 16384, 2, 168},
-                                {4, 6, 1, 14336, 16384, 2, 170},
-                                {4, 7, 1, 14336, 16384, 2, 166},
-                                {4, 8, 1, 14336, 16384, 1, 168},
-                                {4, 1, 1, 14336, 24576, 2, 170},
-                                {4, 2, 1, 14336, 24576, 2, 170},
-                                {4, 3, 1, 14336, 24576, 2, 170},
-                                {4, 4, 1, 14336, 24576, 2, 168},
-                                {4, 5, 1, 14336, 24576, 2, 168},
-                                {4, 6, 1, 14336, 24576, 2, 160},
-                                {4, 7, 1, 14336, 24576, 2, 168},
-                                {4, 8, 1, 14336, 24576, 1, 168},
-                                {4, 1, 1, 14336, 51200, 2, 170},
-                                {4, 2, 1, 14336, 51200, 2, 170},
-                                {4, 3, 1, 14336, 51200, 2, 170},
-                                {4, 4, 1, 14336, 51200, 2, 170},
-                                {4, 5, 1, 14336, 51200, 2, 170},
-                                {4, 6, 1, 14336, 51200, 2, 160},
-                                {4, 7, 1, 14336, 51200, 2, 170},
-                                {4, 8, 1, 14336, 51200, 2, 170},
-                                {4, 1, 1, 14336, 128000, 2, 170},
-                                {4, 2, 1, 14336, 128000, 2, 170},
-                                {4, 3, 1, 14336, 128000, 2, 170},
-                                {4, 4, 1, 14336, 128000, 2, 170},
-                                {4, 5, 1, 14336, 128000, 2, 170},
-                                {4, 6, 1, 14336, 128000, 2, 170},
-                                {4, 7, 1, 14336, 128000, 2, 170},
-                                {4, 8, 1, 14336, 128000, 2, 170},
-                                {4, 1, 1, 16384, 128, 2, 14},
-                                {4, 2, 1, 16384, 128, 2, 14},
-                                {4, 3, 1, 16384, 128, 2, 14},
-                                {4, 4, 1, 16384, 128, 2, 12},
-                                {4, 5, 1, 16384, 128, 2, 16},
-                                {4, 6, 1, 16384, 128, 2, 16},
-                                {4, 7, 1, 16384, 128, 2, 18},
-                                {4, 8, 1, 16384, 128, 2, 16},
-                                {4, 1, 1, 16384, 256, 2, 26},
-                                {4, 2, 1, 16384, 256, 2, 28},
-                                {4, 3, 1, 16384, 256, 2, 28},
-                                {4, 4, 1, 16384, 256, 2, 26},
-                                {4, 5, 1, 16384, 256, 2, 24},
-                                {4, 6, 1, 16384, 256, 2, 30},
-                                {4, 7, 1, 16384, 256, 2, 32},
-                                {4, 8, 1, 16384, 256, 2, 30},
-                                {4, 1, 1, 16384, 512, 2, 56},
-                                {4, 2, 1, 16384, 512, 2, 56},
-                                {4, 3, 1, 16384, 512, 2, 48},
-                                {4, 4, 1, 16384, 512, 2, 52},
-                                {4, 5, 1, 16384, 512, 2, 62},
-                                {4, 6, 1, 16384, 512, 2, 56},
-                                {4, 7, 1, 16384, 512, 2, 64},
-                                {4, 8, 1, 16384, 512, 2, 72},
-                                {4, 1, 1, 16384, 1024, 2, 108},
-                                {4, 2, 1, 16384, 1024, 2, 104},
-                                {4, 3, 1, 16384, 1024, 2, 104},
-                                {4, 4, 1, 16384, 1024, 2, 100},
-                                {4, 5, 1, 16384, 1024, 2, 128},
-                                {4, 6, 1, 16384, 1024, 2, 128},
-                                {4, 7, 1, 16384, 1024, 2, 128},
-                                {4, 8, 1, 16384, 1024, 2, 100},
-                                {4, 1, 1, 16384, 2048, 2, 158},
-                                {4, 2, 1, 16384, 2048, 2, 164},
-                                {4, 3, 1, 16384, 2048, 2, 168},
-                                {4, 4, 1, 16384, 2048, 2, 144},
-                                {4, 5, 1, 16384, 2048, 2, 168},
-                                {4, 6, 1, 16384, 2048, 2, 152},
-                                {4, 7, 1, 16384, 2048, 2, 168},
-                                {4, 8, 1, 16384, 2048, 1, 160},
-                                {4, 1, 1, 16384, 3072, 2, 170},
-                                {4, 2, 1, 16384, 3072, 2, 170},
-                                {4, 3, 1, 16384, 3072, 2, 168},
-                                {4, 4, 1, 16384, 3072, 2, 170},
-                                {4, 5, 1, 16384, 3072, 2, 168},
-                                {4, 6, 1, 16384, 3072, 2, 168},
-                                {4, 7, 1, 16384, 3072, 2, 168},
-                                {4, 8, 1, 16384, 3072, 1, 168},
-                                {4, 1, 1, 16384, 4096, 2, 170},
-                                {4, 2, 1, 16384, 4096, 2, 168},
-                                {4, 3, 1, 16384, 4096, 2, 170},
-                                {4, 4, 1, 16384, 4096, 2, 170},
-                                {4, 5, 1, 16384, 4096, 2, 170},
-                                {4, 6, 1, 16384, 4096, 2, 160},
-                                {4, 7, 1, 16384, 4096, 2, 170},
-                                {4, 8, 1, 16384, 4096, 1, 160},
-                                {4, 1, 1, 16384, 5120, 2, 170},
-                                {4, 2, 1, 16384, 5120, 2, 170},
-                                {4, 3, 1, 16384, 5120, 2, 170},
-                                {4, 4, 1, 16384, 5120, 2, 170},
-                                {4, 5, 1, 16384, 5120, 2, 170},
-                                {4, 6, 1, 16384, 5120, 2, 160},
-                                {4, 7, 1, 16384, 5120, 2, 168},
-                                {4, 8, 1, 16384, 5120, 1, 160},
-                                {4, 1, 1, 16384, 8192, 2, 170},
-                                {4, 2, 1, 16384, 8192, 2, 170},
-                                {4, 3, 1, 16384, 8192, 2, 170},
-                                {4, 4, 1, 16384, 8192, 2, 170},
-                                {4, 5, 1, 16384, 8192, 2, 168},
-                                {4, 6, 1, 16384, 8192, 2, 168},
-                                {4, 7, 1, 16384, 8192, 2, 168},
-                                {4, 8, 1, 16384, 8192, 1, 160},
-                                {4, 1, 1, 16384, 12288, 2, 170},
-                                {4, 2, 1, 16384, 12288, 2, 170},
-                                {4, 3, 1, 16384, 12288, 2, 170},
-                                {4, 4, 1, 16384, 12288, 2, 168},
-                                {4, 5, 1, 16384, 12288, 2, 168},
-                                {4, 6, 1, 16384, 12288, 2, 160},
-                                {4, 7, 1, 16384, 12288, 2, 168},
-                                {4, 8, 1, 16384, 12288, 2, 150},
-                                {4, 1, 1, 16384, 14336, 2, 170},
-                                {4, 2, 1, 16384, 14336, 2, 170},
-                                {4, 3, 1, 16384, 14336, 2, 170},
-                                {4, 4, 1, 16384, 14336, 2, 168},
-                                {4, 5, 1, 16384, 14336, 2, 168},
-                                {4, 6, 1, 16384, 14336, 2, 168},
-                                {4, 7, 1, 16384, 14336, 2, 168},
-                                {4, 8, 1, 16384, 14336, 1, 168},
-                                {4, 1, 1, 16384, 16384, 2, 170},
-                                {4, 2, 1, 16384, 16384, 2, 170},
-                                {4, 3, 1, 16384, 16384, 2, 170},
-                                {4, 4, 1, 16384, 16384, 2, 168},
-                                {4, 5, 1, 16384, 16384, 2, 168},
-                                {4, 6, 1, 16384, 16384, 2, 170},
-                                {4, 7, 1, 16384, 16384, 2, 170},
-                                {4, 8, 1, 16384, 16384, 1, 168},
-                                {4, 1, 1, 16384, 24576, 2, 170},
-                                {4, 2, 1, 16384, 24576, 2, 170},
-                                {4, 3, 1, 16384, 24576, 2, 170},
-                                {4, 4, 1, 16384, 24576, 2, 168},
-                                {4, 5, 1, 16384, 24576, 2, 168},
-                                {4, 6, 1, 16384, 24576, 2, 160},
-                                {4, 7, 1, 16384, 24576, 2, 168},
-                                {4, 8, 1, 16384, 24576, 1, 168},
-                                {4, 1, 1, 16384, 51200, 2, 170},
-                                {4, 2, 1, 16384, 51200, 2, 170},
-                                {4, 3, 1, 16384, 51200, 2, 170},
-                                {4, 4, 1, 16384, 51200, 2, 170},
-                                {4, 5, 1, 16384, 51200, 2, 170},
-                                {4, 6, 1, 16384, 51200, 2, 160},
-                                {4, 7, 1, 16384, 51200, 2, 168},
-                                {4, 8, 1, 16384, 51200, 2, 156},
-                                {4, 1, 1, 16384, 128000, 2, 170},
-                                {4, 2, 1, 16384, 128000, 2, 170},
-                                {4, 3, 1, 16384, 128000, 2, 170},
-                                {4, 4, 1, 16384, 128000, 2, 170},
-                                {4, 5, 1, 16384, 128000, 2, 170},
-                                {4, 6, 1, 16384, 128000, 2, 170},
-                                {4, 7, 1, 16384, 128000, 2, 170},
-                                {4, 8, 1, 16384, 128000, 2, 170},
-                                {4, 1, 1, 24576, 128, 2, 18},
-                                {4, 2, 1, 24576, 128, 2, 16},
-                                {4, 3, 1, 24576, 128, 2, 16},
-                                {4, 4, 1, 24576, 128, 2, 16},
-                                {4, 5, 1, 24576, 128, 2, 18},
-                                {4, 6, 1, 24576, 128, 2, 18},
-                                {4, 7, 1, 24576, 128, 2, 24},
-                                {4, 8, 1, 24576, 128, 2, 18},
-                                {4, 1, 1, 24576, 256, 2, 32},
-                                {4, 2, 1, 24576, 256, 2, 32},
-                                {4, 3, 1, 24576, 256, 2, 32},
-                                {4, 4, 1, 24576, 256, 2, 24},
-                                {4, 5, 1, 24576, 256, 2, 34},
-                                {4, 6, 1, 24576, 256, 2, 44},
-                                {4, 7, 1, 24576, 256, 2, 44},
-                                {4, 8, 1, 24576, 256, 2, 36},
-                                {4, 1, 1, 24576, 512, 2, 64},
-                                {4, 2, 1, 24576, 512, 2, 70},
-                                {4, 3, 1, 24576, 512, 2, 70},
-                                {4, 4, 1, 24576, 512, 2, 56},
-                                {4, 5, 1, 24576, 512, 2, 74},
-                                {4, 6, 1, 24576, 512, 2, 72},
-                                {4, 7, 1, 24576, 512, 2, 88},
-                                {4, 8, 1, 24576, 512, 2, 72},
-                                {4, 1, 1, 24576, 1024, 2, 132},
-                                {4, 2, 1, 24576, 1024, 2, 144},
-                                {4, 3, 1, 24576, 1024, 2, 144},
-                                {4, 4, 1, 24576, 1024, 2, 120},
-                                {4, 5, 1, 24576, 1024, 2, 140},
-                                {4, 6, 1, 24576, 1024, 2, 144},
-                                {4, 7, 1, 24576, 1024, 2, 144},
-                                {4, 8, 1, 24576, 1024, 2, 120},
-                                {4, 1, 1, 24576, 2048, 2, 170},
-                                {4, 2, 1, 24576, 2048, 2, 170},
-                                {4, 3, 1, 24576, 2048, 2, 158},
-                                {4, 4, 1, 24576, 2048, 2, 162},
-                                {4, 5, 1, 24576, 2048, 2, 168},
-                                {4, 6, 1, 24576, 2048, 2, 160},
-                                {4, 7, 1, 24576, 2048, 2, 160},
-                                {4, 8, 1, 24576, 2048, 1, 160},
-                                {4, 1, 1, 24576, 3072, 2, 170},
-                                {4, 2, 1, 24576, 3072, 2, 170},
-                                {4, 3, 1, 24576, 3072, 2, 168},
-                                {4, 4, 1, 24576, 3072, 2, 168},
-                                {4, 5, 1, 24576, 3072, 2, 168},
-                                {4, 6, 1, 24576, 3072, 2, 168},
-                                {4, 7, 1, 24576, 3072, 2, 168},
-                                {4, 8, 1, 24576, 3072, 1, 168},
-                                {4, 1, 1, 24576, 4096, 2, 170},
-                                {4, 2, 1, 24576, 4096, 2, 170},
-                                {4, 3, 1, 24576, 4096, 2, 170},
-                                {4, 4, 1, 24576, 4096, 2, 170},
-                                {4, 5, 1, 24576, 4096, 2, 170},
-                                {4, 6, 1, 24576, 4096, 2, 160},
-                                {4, 7, 1, 24576, 4096, 2, 168},
-                                {4, 8, 1, 24576, 4096, 1, 160},
-                                {4, 1, 1, 24576, 5120, 2, 170},
-                                {4, 2, 1, 24576, 5120, 2, 170},
-                                {4, 3, 1, 24576, 5120, 2, 170},
-                                {4, 4, 1, 24576, 5120, 2, 160},
-                                {4, 5, 1, 24576, 5120, 2, 170},
-                                {4, 6, 1, 24576, 5120, 2, 160},
-                                {4, 7, 1, 24576, 5120, 2, 168},
-                                {4, 8, 1, 24576, 5120, 1, 160},
-                                {4, 1, 1, 24576, 8192, 2, 170},
-                                {4, 2, 1, 24576, 8192, 2, 170},
-                                {4, 3, 1, 24576, 8192, 2, 170},
-                                {4, 4, 1, 24576, 8192, 2, 168},
-                                {4, 5, 1, 24576, 8192, 2, 170},
-                                {4, 6, 1, 24576, 8192, 2, 160},
-                                {4, 7, 1, 24576, 8192, 2, 168},
-                                {4, 8, 1, 24576, 8192, 1, 160},
-                                {4, 1, 1, 24576, 12288, 2, 170},
-                                {4, 2, 1, 24576, 12288, 2, 170},
-                                {4, 3, 1, 24576, 12288, 2, 170},
-                                {4, 4, 1, 24576, 12288, 2, 168},
-                                {4, 5, 1, 24576, 12288, 2, 170},
-                                {4, 6, 1, 24576, 12288, 2, 160},
-                                {4, 7, 1, 24576, 12288, 2, 168},
-                                {4, 8, 1, 24576, 12288, 2, 156},
-                                {4, 1, 1, 24576, 14336, 2, 170},
-                                {4, 2, 1, 24576, 14336, 2, 170},
-                                {4, 3, 1, 24576, 14336, 2, 170},
-                                {4, 4, 1, 24576, 14336, 2, 168},
-                                {4, 5, 1, 24576, 14336, 2, 168},
-                                {4, 6, 1, 24576, 14336, 2, 168},
-                                {4, 7, 1, 24576, 14336, 2, 168},
-                                {4, 8, 1, 24576, 14336, 1, 168},
-                                {4, 1, 1, 24576, 16384, 2, 170},
-                                {4, 2, 1, 24576, 16384, 2, 170},
-                                {4, 3, 1, 24576, 16384, 2, 170},
-                                {4, 4, 1, 24576, 16384, 2, 170},
-                                {4, 5, 1, 24576, 16384, 2, 168},
-                                {4, 6, 1, 24576, 16384, 2, 170},
-                                {4, 7, 1, 24576, 16384, 2, 170},
-                                {4, 8, 1, 24576, 16384, 1, 168},
-                                {4, 1, 1, 24576, 24576, 2, 170},
-                                {4, 2, 1, 24576, 24576, 2, 170},
-                                {4, 3, 1, 24576, 24576, 2, 170},
-                                {4, 4, 1, 24576, 24576, 2, 168},
-                                {4, 5, 1, 24576, 24576, 2, 170},
-                                {4, 6, 1, 24576, 24576, 2, 170},
-                                {4, 7, 1, 24576, 24576, 2, 168},
-                                {4, 8, 1, 24576, 24576, 2, 168},
-                                {4, 1, 1, 24576, 51200, 2, 170},
-                                {4, 2, 1, 24576, 51200, 2, 170},
-                                {4, 3, 1, 24576, 51200, 2, 170},
-                                {4, 4, 1, 24576, 51200, 2, 170},
-                                {4, 5, 1, 24576, 51200, 2, 170},
-                                {4, 6, 1, 24576, 51200, 2, 160},
-                                {4, 7, 1, 24576, 51200, 2, 170},
-                                {4, 8, 1, 24576, 51200, 2, 166},
-                                {4, 1, 1, 24576, 128000, 2, 170},
-                                {4, 2, 1, 24576, 128000, 2, 170},
-                                {4, 3, 1, 24576, 128000, 2, 170},
-                                {4, 4, 1, 24576, 128000, 2, 170},
-                                {4, 5, 1, 24576, 128000, 2, 170},
-                                {4, 6, 1, 24576, 128000, 2, 170},
-                                {4, 7, 1, 24576, 128000, 2, 170},
-                                {4, 8, 1, 24576, 128000, 2, 170},
-                                {3, 1, 1, 128, 128, 1, 2},
-                                {3, 2, 1, 128, 128, 1, 2},
-                                {3, 3, 1, 128, 128, 2, 2},
-                                {3, 4, 1, 128, 128, 1, 2},
-                                {3, 5, 1, 128, 128, 1, 2},
-                                {3, 6, 1, 128, 128, 1, 2},
-                                {3, 7, 1, 128, 128, 1, 2},
-                                {3, 8, 1, 128, 128, 1, 2},
-                                {3, 1, 1, 128, 256, 1, 4},
-                                {3, 2, 1, 128, 256, 1, 4},
-                                {3, 3, 1, 128, 256, 1, 4},
-                                {3, 4, 1, 128, 256, 1, 4},
-                                {3, 5, 1, 128, 256, 1, 4},
-                                {3, 6, 1, 128, 256, 1, 4},
-                                {3, 7, 1, 128, 256, 1, 4},
-                                {3, 8, 1, 128, 256, 1, 4},
-                                {3, 1, 1, 128, 512, 1, 8},
-                                {3, 2, 1, 128, 512, 2, 4},
-                                {3, 3, 1, 128, 512, 1, 8},
-                                {3, 4, 1, 128, 512, 1, 8},
-                                {3, 5, 1, 128, 512, 1, 8},
-                                {3, 6, 1, 128, 512, 1, 8},
-                                {3, 7, 1, 128, 512, 1, 8},
-                                {3, 8, 1, 128, 512, 2, 8},
-                                {3, 1, 1, 128, 1024, 1, 16},
-                                {3, 2, 1, 128, 1024, 1, 16},
-                                {3, 3, 1, 128, 1024, 1, 16},
-                                {3, 4, 1, 128, 1024, 1, 16},
-                                {3, 5, 1, 128, 1024, 1, 16},
-                                {3, 6, 1, 128, 1024, 1, 16},
-                                {3, 7, 1, 128, 1024, 1, 16},
-                                {3, 8, 1, 128, 1024, 1, 16},
-                                {3, 1, 1, 128, 2048, 1, 32},
-                                {3, 2, 1, 128, 2048, 1, 32},
-                                {3, 3, 1, 128, 2048, 1, 32},
-                                {3, 4, 1, 128, 2048, 1, 32},
-                                {3, 5, 1, 128, 2048, 1, 32},
-                                {3, 6, 1, 128, 2048, 1, 32},
-                                {3, 7, 1, 128, 2048, 1, 32},
-                                {3, 8, 1, 128, 2048, 1, 32},
-                                {3, 1, 1, 128, 3072, 1, 48},
-                                {3, 2, 1, 128, 3072, 1, 48},
-                                {3, 3, 1, 128, 3072, 1, 48},
-                                {3, 4, 1, 128, 3072, 1, 48},
-                                {3, 5, 1, 128, 3072, 1, 48},
-                                {3, 6, 1, 128, 3072, 1, 48},
-                                {3, 7, 1, 128, 3072, 1, 48},
-                                {3, 8, 1, 128, 3072, 1, 48},
-                                {3, 1, 1, 128, 4096, 1, 64},
-                                {3, 2, 1, 128, 4096, 1, 64},
-                                {3, 3, 1, 128, 4096, 1, 64},
-                                {3, 4, 1, 128, 4096, 1, 64},
-                                {3, 5, 1, 128, 4096, 1, 64},
-                                {3, 6, 1, 128, 4096, 1, 64},
-                                {3, 7, 1, 128, 4096, 1, 64},
-                                {3, 8, 1, 128, 4096, 1, 64},
-                                {3, 1, 1, 128, 5120, 1, 40},
-                                {3, 2, 1, 128, 5120, 1, 80},
-                                {3, 3, 1, 128, 5120, 1, 80},
-                                {3, 4, 1, 128, 5120, 1, 80},
-                                {3, 5, 1, 128, 5120, 1, 80},
-                                {3, 6, 1, 128, 5120, 1, 80},
-                                {3, 7, 1, 128, 5120, 1, 80},
-                                {3, 8, 1, 128, 5120, 1, 80},
-                                {3, 1, 1, 128, 8192, 1, 128},
-                                {3, 2, 1, 128, 8192, 1, 128},
-                                {3, 3, 1, 128, 8192, 1, 128},
-                                {3, 4, 1, 128, 8192, 1, 128},
-                                {3, 5, 1, 128, 8192, 1, 128},
-                                {3, 6, 1, 128, 8192, 1, 128},
-                                {3, 7, 1, 128, 8192, 1, 128},
-                                {3, 8, 1, 128, 8192, 1, 128},
-                                {3, 1, 1, 128, 12288, 1, 96},
-                                {3, 2, 1, 128, 12288, 1, 96},
-                                {3, 3, 1, 128, 12288, 1, 96},
-                                {3, 4, 1, 128, 12288, 1, 96},
-                                {3, 5, 1, 128, 12288, 1, 96},
-                                {3, 6, 1, 128, 12288, 1, 96},
-                                {3, 7, 1, 128, 12288, 1, 96},
-                                {3, 8, 1, 128, 12288, 1, 96},
-                                {3, 1, 1, 128, 14336, 1, 112},
-                                {3, 2, 1, 128, 14336, 1, 112},
-                                {3, 3, 1, 128, 14336, 1, 112},
-                                {3, 4, 1, 128, 14336, 1, 112},
-                                {3, 5, 1, 128, 14336, 1, 112},
-                                {3, 6, 1, 128, 14336, 1, 112},
-                                {3, 7, 1, 128, 14336, 1, 112},
-                                {3, 8, 1, 128, 14336, 1, 112},
-                                {3, 1, 1, 128, 16384, 1, 128},
-                                {3, 2, 1, 128, 16384, 1, 128},
-                                {3, 3, 1, 128, 16384, 1, 128},
-                                {3, 4, 1, 128, 16384, 1, 128},
-                                {3, 5, 1, 128, 16384, 1, 128},
-                                {3, 6, 1, 128, 16384, 1, 128},
-                                {3, 7, 1, 128, 16384, 1, 128},
-                                {3, 8, 1, 128, 16384, 1, 128},
-                                {3, 1, 1, 128, 24576, 2, 128},
-                                {3, 2, 1, 128, 24576, 2, 128},
-                                {3, 3, 1, 128, 24576, 1, 128},
-                                {3, 4, 1, 128, 24576, 2, 128},
-                                {3, 5, 1, 128, 24576, 1, 128},
-                                {3, 6, 1, 128, 24576, 1, 128},
-                                {3, 7, 1, 128, 24576, 1, 128},
-                                {3, 8, 1, 128, 24576, 1, 116},
-                                {3, 1, 1, 128, 51200, 2, 128},
-                                {3, 2, 1, 128, 51200, 2, 128},
-                                {3, 3, 1, 128, 51200, 1, 128},
-                                {3, 4, 1, 128, 51200, 2, 128},
-                                {3, 5, 1, 128, 51200, 2, 126},
-                                {3, 6, 1, 128, 51200, 2, 126},
-                                {3, 7, 1, 128, 51200, 2, 124},
-                                {3, 8, 1, 128, 51200, 1, 128},
-                                {3, 1, 1, 128, 128000, 2, 128},
-                                {3, 2, 1, 128, 128000, 2, 128},
-                                {3, 3, 1, 128, 128000, 2, 128},
-                                {3, 4, 1, 128, 128000, 2, 128},
-                                {3, 5, 1, 128, 128000, 2, 126},
-                                {3, 6, 1, 128, 128000, 2, 126},
-                                {3, 7, 1, 128, 128000, 2, 122},
-                                {3, 8, 1, 128, 128000, 1, 128},
-                                {3, 1, 1, 256, 128, 2, 2},
-                                {3, 2, 1, 256, 128, 2, 2},
-                                {3, 3, 1, 256, 128, 2, 2},
-                                {3, 4, 1, 256, 128, 2, 2},
-                                {3, 5, 1, 256, 128, 2, 2},
-                                {3, 6, 1, 256, 128, 2, 2},
-                                {3, 7, 1, 256, 128, 2, 2},
-                                {3, 8, 1, 256, 128, 2, 2},
-                                {3, 1, 1, 256, 256, 2, 4},
-                                {3, 2, 1, 256, 256, 2, 4},
-                                {3, 3, 1, 256, 256, 2, 4},
-                                {3, 4, 1, 256, 256, 2, 4},
-                                {3, 5, 1, 256, 256, 2, 4},
-                                {3, 6, 1, 256, 256, 2, 4},
-                                {3, 7, 1, 256, 256, 2, 4},
-                                {3, 8, 1, 256, 256, 2, 4},
-                                {3, 1, 1, 256, 512, 2, 8},
-                                {3, 2, 1, 256, 512, 2, 8},
-                                {3, 3, 1, 256, 512, 2, 8},
-                                {3, 4, 1, 256, 512, 2, 8},
-                                {3, 5, 1, 256, 512, 2, 8},
-                                {3, 6, 1, 256, 512, 2, 8},
-                                {3, 7, 1, 256, 512, 2, 8},
-                                {3, 8, 1, 256, 512, 2, 8},
-                                {3, 1, 1, 256, 1024, 2, 16},
-                                {3, 2, 1, 256, 1024, 2, 16},
-                                {3, 3, 1, 256, 1024, 2, 16},
-                                {3, 4, 1, 256, 1024, 2, 16},
-                                {3, 5, 1, 256, 1024, 2, 16},
-                                {3, 6, 1, 256, 1024, 2, 16},
-                                {3, 7, 1, 256, 1024, 2, 16},
-                                {3, 8, 1, 256, 1024, 2, 16},
-                                {3, 1, 1, 256, 2048, 2, 32},
-                                {3, 2, 1, 256, 2048, 2, 32},
-                                {3, 3, 1, 256, 2048, 1, 32},
-                                {3, 4, 1, 256, 2048, 2, 32},
-                                {3, 5, 1, 256, 2048, 1, 32},
-                                {3, 6, 1, 256, 2048, 1, 32},
-                                {3, 7, 1, 256, 2048, 2, 32},
-                                {3, 8, 1, 256, 2048, 1, 32},
-                                {3, 1, 1, 256, 3072, 2, 48},
-                                {3, 2, 1, 256, 3072, 2, 48},
-                                {3, 3, 1, 256, 3072, 2, 48},
-                                {3, 4, 1, 256, 3072, 2, 48},
-                                {3, 5, 1, 256, 3072, 1, 48},
-                                {3, 6, 1, 256, 3072, 1, 48},
-                                {3, 7, 1, 256, 3072, 1, 48},
-                                {3, 8, 1, 256, 3072, 1, 48},
-                                {3, 1, 1, 256, 4096, 2, 64},
-                                {3, 2, 1, 256, 4096, 1, 64},
-                                {3, 3, 1, 256, 4096, 1, 64},
-                                {3, 4, 1, 256, 4096, 2, 64},
-                                {3, 5, 1, 256, 4096, 1, 64},
-                                {3, 6, 1, 256, 4096, 1, 64},
-                                {3, 7, 1, 256, 4096, 1, 64},
-                                {3, 8, 1, 256, 4096, 1, 64},
-                                {3, 1, 1, 256, 5120, 2, 80},
-                                {3, 2, 1, 256, 5120, 1, 80},
-                                {3, 3, 1, 256, 5120, 1, 80},
-                                {3, 4, 1, 256, 5120, 2, 80},
-                                {3, 5, 1, 256, 5120, 1, 80},
-                                {3, 6, 1, 256, 5120, 1, 80},
-                                {3, 7, 1, 256, 5120, 1, 80},
-                                {3, 8, 1, 256, 5120, 1, 80},
-                                {3, 1, 1, 256, 8192, 2, 128},
-                                {3, 2, 1, 256, 8192, 2, 128},
-                                {3, 3, 1, 256, 8192, 1, 128},
-                                {3, 4, 1, 256, 8192, 1, 128},
-                                {3, 5, 1, 256, 8192, 1, 128},
-                                {3, 6, 1, 256, 8192, 1, 128},
-                                {3, 7, 1, 256, 8192, 1, 128},
-                                {3, 8, 1, 256, 8192, 1, 128},
-                                {3, 1, 1, 256, 12288, 2, 96},
-                                {3, 2, 1, 256, 12288, 2, 128},
-                                {3, 3, 1, 256, 12288, 1, 128},
-                                {3, 4, 1, 256, 12288, 2, 96},
-                                {3, 5, 1, 256, 12288, 1, 128},
-                                {3, 6, 1, 256, 12288, 2, 116},
-                                {3, 7, 1, 256, 12288, 2, 116},
-                                {3, 8, 1, 256, 12288, 1, 116},
-                                {3, 1, 1, 256, 14336, 2, 112},
-                                {3, 2, 1, 256, 14336, 2, 112},
-                                {3, 3, 1, 256, 14336, 2, 112},
-                                {3, 4, 1, 256, 14336, 2, 112},
-                                {3, 5, 1, 256, 14336, 1, 112},
-                                {3, 6, 1, 256, 14336, 1, 112},
-                                {3, 7, 1, 256, 14336, 1, 112},
-                                {3, 8, 1, 256, 14336, 1, 112},
-                                {3, 1, 1, 256, 16384, 2, 128},
-                                {3, 2, 1, 256, 16384, 2, 128},
-                                {3, 3, 1, 256, 16384, 2, 128},
-                                {3, 4, 1, 256, 16384, 1, 128},
-                                {3, 5, 1, 256, 16384, 1, 128},
-                                {3, 6, 1, 256, 16384, 1, 128},
-                                {3, 7, 1, 256, 16384, 1, 128},
-                                {3, 8, 1, 256, 16384, 2, 116},
-                                {3, 1, 1, 256, 24576, 2, 128},
-                                {3, 2, 1, 256, 24576, 2, 128},
-                                {3, 3, 1, 256, 24576, 1, 128},
-                                {3, 4, 1, 256, 24576, 2, 128},
-                                {3, 5, 1, 256, 24576, 1, 128},
-                                {3, 6, 1, 256, 24576, 1, 128},
-                                {3, 7, 1, 256, 24576, 1, 128},
-                                {3, 8, 1, 256, 24576, 1, 128},
-                                {3, 1, 1, 256, 51200, 2, 128},
-                                {3, 2, 1, 256, 51200, 2, 128},
-                                {3, 3, 1, 256, 51200, 2, 128},
-                                {3, 4, 1, 256, 51200, 2, 128},
-                                {3, 5, 1, 256, 51200, 2, 128},
-                                {3, 6, 1, 256, 51200, 2, 128},
-                                {3, 7, 1, 256, 51200, 2, 120},
-                                {3, 8, 1, 256, 51200, 1, 120},
-                                {3, 1, 1, 256, 128000, 2, 128},
-                                {3, 2, 1, 256, 128000, 2, 128},
-                                {3, 3, 1, 256, 128000, 2, 128},
-                                {3, 4, 1, 256, 128000, 2, 128},
-                                {3, 5, 1, 256, 128000, 2, 128},
-                                {3, 6, 1, 256, 128000, 2, 120},
-                                {3, 7, 1, 256, 128000, 2, 122},
-                                {3, 8, 1, 256, 128000, 1, 126},
-                                {3, 1, 1, 512, 128, 2, 2},
-                                {3, 2, 1, 512, 128, 2, 2},
-                                {3, 3, 1, 512, 128, 2, 4},
-                                {3, 4, 1, 512, 128, 2, 2},
-                                {3, 5, 1, 512, 128, 2, 4},
-                                {3, 6, 1, 512, 128, 2, 4},
-                                {3, 7, 1, 512, 128, 2, 4},
-                                {3, 8, 1, 512, 128, 2, 4},
-                                {3, 1, 1, 512, 256, 2, 4},
-                                {3, 2, 1, 512, 256, 2, 4},
-                                {3, 3, 1, 512, 256, 2, 8},
-                                {3, 4, 1, 512, 256, 2, 4},
-                                {3, 5, 1, 512, 256, 2, 8},
-                                {3, 6, 1, 512, 256, 2, 8},
-                                {3, 7, 1, 512, 256, 2, 8},
-                                {3, 8, 1, 512, 256, 2, 8},
-                                {3, 1, 1, 512, 512, 2, 8},
-                                {3, 2, 1, 512, 512, 2, 8},
-                                {3, 3, 1, 512, 512, 2, 16},
-                                {3, 4, 1, 512, 512, 2, 8},
-                                {3, 5, 1, 512, 512, 2, 16},
-                                {3, 6, 1, 512, 512, 2, 16},
-                                {3, 7, 1, 512, 512, 2, 16},
-                                {3, 8, 1, 512, 512, 2, 16},
-                                {3, 1, 1, 512, 1024, 2, 16},
-                                {3, 2, 1, 512, 1024, 2, 16},
-                                {3, 3, 1, 512, 1024, 2, 32},
-                                {3, 4, 1, 512, 1024, 2, 16},
-                                {3, 5, 1, 512, 1024, 2, 32},
-                                {3, 6, 1, 512, 1024, 2, 32},
-                                {3, 7, 1, 512, 1024, 2, 32},
-                                {3, 8, 1, 512, 1024, 2, 32},
-                                {3, 1, 1, 512, 2048, 2, 32},
-                                {3, 2, 1, 512, 2048, 2, 32},
-                                {3, 3, 1, 512, 2048, 1, 64},
-                                {3, 4, 1, 512, 2048, 2, 32},
-                                {3, 5, 1, 512, 2048, 1, 64},
-                                {3, 6, 1, 512, 2048, 1, 64},
-                                {3, 7, 1, 512, 2048, 1, 64},
-                                {3, 8, 1, 512, 2048, 1, 64},
-                                {3, 1, 1, 512, 3072, 2, 48},
-                                {3, 2, 1, 512, 3072, 2, 48},
-                                {3, 3, 1, 512, 3072, 1, 72},
-                                {3, 4, 1, 512, 3072, 2, 48},
-                                {3, 5, 1, 512, 3072, 1, 96},
-                                {3, 6, 1, 512, 3072, 1, 72},
-                                {3, 7, 1, 512, 3072, 1, 96},
-                                {3, 8, 1, 512, 3072, 1, 96},
-                                {3, 1, 1, 512, 4096, 2, 64},
-                                {3, 2, 1, 512, 4096, 2, 64},
-                                {3, 3, 1, 512, 4096, 1, 96},
-                                {3, 4, 1, 512, 4096, 2, 64},
-                                {3, 5, 1, 512, 4096, 1, 128},
-                                {3, 6, 1, 512, 4096, 1, 128},
-                                {3, 7, 1, 512, 4096, 1, 128},
-                                {3, 8, 1, 512, 4096, 1, 94},
-                                {3, 1, 1, 512, 5120, 2, 80},
-                                {3, 2, 1, 512, 5120, 2, 80},
-                                {3, 3, 1, 512, 5120, 1, 120},
-                                {3, 4, 1, 512, 5120, 2, 80},
-                                {3, 5, 1, 512, 5120, 1, 120},
-                                {3, 6, 1, 512, 5120, 1, 120},
-                                {3, 7, 1, 512, 5120, 1, 120},
-                                {3, 8, 1, 512, 5120, 2, 112},
-                                {3, 1, 1, 512, 8192, 2, 128},
-                                {3, 2, 1, 512, 8192, 2, 128},
-                                {3, 3, 1, 512, 8192, 2, 128},
-                                {3, 4, 1, 512, 8192, 2, 116},
-                                {3, 5, 1, 512, 8192, 2, 116},
-                                {3, 6, 1, 512, 8192, 1, 128},
-                                {3, 7, 1, 512, 8192, 2, 116},
-                                {3, 8, 1, 512, 8192, 1, 116},
-                                {3, 1, 1, 512, 12288, 2, 128},
-                                {3, 2, 1, 512, 12288, 2, 128},
-                                {3, 3, 1, 512, 12288, 1, 128},
-                                {3, 4, 1, 512, 12288, 2, 116},
-                                {3, 5, 1, 512, 12288, 2, 116},
-                                {3, 6, 1, 512, 12288, 1, 128},
-                                {3, 7, 1, 512, 12288, 2, 96},
-                                {3, 8, 1, 512, 12288, 1, 96},
-                                {3, 1, 1, 512, 14336, 2, 112},
-                                {3, 2, 1, 512, 14336, 2, 112},
-                                {3, 3, 1, 512, 14336, 2, 112},
-                                {3, 4, 1, 512, 14336, 2, 112},
-                                {3, 5, 1, 512, 14336, 2, 112},
-                                {3, 6, 1, 512, 14336, 1, 112},
-                                {3, 7, 1, 512, 14336, 1, 112},
-                                {3, 8, 1, 512, 14336, 1, 112},
-                                {3, 1, 1, 512, 16384, 2, 128},
-                                {3, 2, 1, 512, 16384, 2, 128},
-                                {3, 3, 1, 512, 16384, 2, 128},
-                                {3, 4, 1, 512, 16384, 2, 128},
-                                {3, 5, 1, 512, 16384, 1, 128},
-                                {3, 6, 1, 512, 16384, 1, 128},
-                                {3, 7, 1, 512, 16384, 1, 128},
-                                {3, 8, 1, 512, 16384, 1, 128},
-                                {3, 1, 1, 512, 24576, 2, 128},
-                                {3, 2, 1, 512, 24576, 2, 128},
-                                {3, 3, 1, 512, 24576, 2, 128},
-                                {3, 4, 1, 512, 24576, 2, 128},
-                                {3, 5, 1, 512, 24576, 2, 128},
-                                {3, 6, 1, 512, 24576, 1, 128},
-                                {3, 7, 1, 512, 24576, 1, 128},
-                                {3, 8, 1, 512, 24576, 1, 128},
-                                {3, 1, 1, 512, 51200, 2, 128},
-                                {3, 2, 1, 512, 51200, 2, 128},
-                                {3, 3, 1, 512, 51200, 2, 128},
-                                {3, 4, 1, 512, 51200, 2, 128},
-                                {3, 5, 1, 512, 51200, 2, 128},
-                                {3, 6, 1, 512, 51200, 1, 128},
-                                {3, 7, 1, 512, 51200, 2, 120},
-                                {3, 8, 1, 512, 51200, 1, 120},
-                                {3, 1, 1, 512, 128000, 2, 128},
-                                {3, 2, 1, 512, 128000, 2, 128},
-                                {3, 3, 1, 512, 128000, 2, 128},
-                                {3, 4, 1, 512, 128000, 2, 128},
-                                {3, 5, 1, 512, 128000, 2, 124},
-                                {3, 6, 1, 512, 128000, 2, 116},
-                                {3, 7, 1, 512, 128000, 2, 122},
-                                {3, 8, 1, 512, 128000, 1, 126},
-                                {3, 1, 1, 1024, 128, 2, 4},
-                                {3, 2, 1, 1024, 128, 2, 4},
-                                {3, 3, 1, 1024, 128, 2, 4},
-                                {3, 4, 1, 1024, 128, 2, 4},
-                                {3, 5, 1, 1024, 128, 2, 4},
-                                {3, 6, 1, 1024, 128, 2, 4},
-                                {3, 7, 1, 1024, 128, 2, 4},
-                                {3, 8, 1, 1024, 128, 2, 4},
-                                {3, 1, 1, 1024, 256, 2, 8},
-                                {3, 2, 1, 1024, 256, 2, 8},
-                                {3, 3, 1, 1024, 256, 2, 8},
-                                {3, 4, 1, 1024, 256, 2, 8},
-                                {3, 5, 1, 1024, 256, 2, 8},
-                                {3, 6, 1, 1024, 256, 2, 8},
-                                {3, 7, 1, 1024, 256, 2, 8},
-                                {3, 8, 1, 1024, 256, 2, 8},
-                                {3, 1, 1, 1024, 512, 2, 16},
-                                {3, 2, 1, 1024, 512, 2, 16},
-                                {3, 3, 1, 1024, 512, 2, 16},
-                                {3, 4, 1, 1024, 512, 2, 16},
-                                {3, 5, 1, 1024, 512, 2, 16},
-                                {3, 6, 1, 1024, 512, 2, 16},
-                                {3, 7, 1, 1024, 512, 2, 16},
-                                {3, 8, 1, 1024, 512, 2, 16},
-                                {3, 1, 1, 1024, 1024, 2, 32},
-                                {3, 2, 1, 1024, 1024, 2, 32},
-                                {3, 3, 1, 1024, 1024, 2, 32},
-                                {3, 4, 1, 1024, 1024, 2, 32},
-                                {3, 5, 1, 1024, 1024, 2, 32},
-                                {3, 6, 1, 1024, 1024, 2, 32},
-                                {3, 7, 1, 1024, 1024, 2, 32},
-                                {3, 8, 1, 1024, 1024, 2, 32},
-                                {3, 1, 1, 1024, 2048, 2, 64},
-                                {3, 2, 1, 1024, 2048, 2, 64},
-                                {3, 3, 1, 1024, 2048, 2, 64},
-                                {3, 4, 1, 1024, 2048, 2, 64},
-                                {3, 5, 1, 1024, 2048, 2, 64},
-                                {3, 6, 1, 1024, 2048, 2, 64},
-                                {3, 7, 1, 1024, 2048, 2, 64},
-                                {3, 8, 1, 1024, 2048, 1, 78},
-                                {3, 1, 1, 1024, 3072, 2, 96},
-                                {3, 2, 1, 1024, 3072, 2, 96},
-                                {3, 3, 1, 1024, 3072, 2, 96},
-                                {3, 4, 1, 1024, 3072, 2, 96},
-                                {3, 5, 1, 1024, 3072, 2, 88},
-                                {3, 6, 1, 1024, 3072, 2, 88},
-                                {3, 7, 1, 1024, 3072, 2, 88},
-                                {3, 8, 1, 1024, 3072, 2, 88},
-                                {3, 1, 1, 1024, 4096, 2, 128},
-                                {3, 2, 1, 1024, 4096, 2, 128},
-                                {3, 3, 1, 1024, 4096, 2, 128},
-                                {3, 4, 1, 1024, 4096, 2, 120},
-                                {3, 5, 1, 1024, 4096, 2, 116},
-                                {3, 6, 1, 1024, 4096, 1, 124},
-                                {3, 7, 1, 1024, 4096, 2, 116},
-                                {3, 8, 1, 1024, 4096, 1, 116},
-                                {3, 1, 1, 1024, 5120, 2, 120},
-                                {3, 2, 1, 1024, 5120, 2, 120},
-                                {3, 3, 1, 1024, 5120, 2, 112},
-                                {3, 4, 1, 1024, 5120, 2, 112},
-                                {3, 5, 1, 1024, 5120, 2, 112},
-                                {3, 6, 1, 1024, 5120, 2, 112},
-                                {3, 7, 1, 1024, 5120, 2, 112},
-                                {3, 8, 1, 1024, 5120, 1, 104},
-                                {3, 1, 1, 1024, 8192, 2, 128},
-                                {3, 2, 1, 1024, 8192, 2, 128},
-                                {3, 3, 1, 1024, 8192, 2, 128},
-                                {3, 4, 1, 1024, 8192, 2, 116},
-                                {3, 5, 1, 1024, 8192, 2, 124},
-                                {3, 6, 1, 1024, 8192, 1, 128},
-                                {3, 7, 1, 1024, 8192, 1, 128},
-                                {3, 8, 1, 1024, 8192, 1, 124},
-                                {3, 1, 1, 1024, 12288, 2, 128},
-                                {3, 2, 1, 1024, 12288, 2, 128},
-                                {3, 3, 1, 1024, 12288, 2, 128},
-                                {3, 4, 1, 1024, 12288, 2, 128},
-                                {3, 5, 1, 1024, 12288, 2, 128},
-                                {3, 6, 1, 1024, 12288, 1, 128},
-                                {3, 7, 1, 1024, 12288, 2, 96},
-                                {3, 8, 1, 1024, 12288, 1, 96},
-                                {3, 1, 1, 1024, 14336, 2, 128},
-                                {3, 2, 1, 1024, 14336, 2, 128},
-                                {3, 3, 1, 1024, 14336, 2, 128},
-                                {3, 4, 1, 1024, 14336, 2, 128},
-                                {3, 5, 1, 1024, 14336, 2, 112},
-                                {3, 6, 1, 1024, 14336, 1, 128},
-                                {3, 7, 1, 1024, 14336, 1, 128},
-                                {3, 8, 1, 1024, 14336, 1, 110},
-                                {3, 1, 1, 1024, 16384, 2, 128},
-                                {3, 2, 1, 1024, 16384, 2, 128},
-                                {3, 3, 1, 1024, 16384, 2, 128},
-                                {3, 4, 1, 1024, 16384, 2, 128},
-                                {3, 5, 1, 1024, 16384, 2, 128},
-                                {3, 6, 1, 1024, 16384, 1, 128},
-                                {3, 7, 1, 1024, 16384, 1, 128},
-                                {3, 8, 1, 1024, 16384, 1, 126},
-                                {3, 1, 1, 1024, 24576, 2, 128},
-                                {3, 2, 1, 1024, 24576, 2, 128},
-                                {3, 3, 1, 1024, 24576, 2, 128},
-                                {3, 4, 1, 1024, 24576, 2, 128},
-                                {3, 5, 1, 1024, 24576, 2, 124},
-                                {3, 6, 1, 1024, 24576, 1, 128},
-                                {3, 7, 1, 1024, 24576, 1, 128},
-                                {3, 8, 1, 1024, 24576, 1, 128},
-                                {3, 1, 1, 1024, 51200, 2, 128},
-                                {3, 2, 1, 1024, 51200, 2, 128},
-                                {3, 3, 1, 1024, 51200, 2, 128},
-                                {3, 4, 1, 1024, 51200, 2, 120},
-                                {3, 5, 1, 1024, 51200, 2, 128},
-                                {3, 6, 1, 1024, 51200, 1, 128},
-                                {3, 7, 1, 1024, 51200, 2, 110},
-                                {3, 8, 1, 1024, 51200, 1, 120},
-                                {3, 1, 1, 1024, 128000, 2, 128},
-                                {3, 2, 1, 1024, 128000, 2, 128},
-                                {3, 3, 1, 1024, 128000, 2, 128},
-                                {3, 4, 1, 1024, 128000, 2, 128},
-                                {3, 5, 1, 1024, 128000, 2, 128},
-                                {3, 6, 1, 1024, 128000, 2, 116},
-                                {3, 7, 1, 1024, 128000, 2, 104},
-                                {3, 8, 1, 1024, 128000, 1, 126},
-                                {3, 1, 1, 2048, 128, 2, 6},
-                                {3, 2, 1, 2048, 128, 2, 6},
-                                {3, 3, 1, 2048, 128, 2, 6},
-                                {3, 4, 1, 2048, 128, 2, 6},
-                                {3, 5, 1, 2048, 128, 2, 6},
-                                {3, 6, 1, 2048, 128, 2, 6},
-                                {3, 7, 1, 2048, 128, 2, 6},
-                                {3, 8, 1, 2048, 128, 2, 6},
-                                {3, 1, 1, 2048, 256, 2, 10},
-                                {3, 2, 1, 2048, 256, 2, 10},
-                                {3, 3, 1, 2048, 256, 2, 12},
-                                {3, 4, 1, 2048, 256, 2, 10},
-                                {3, 5, 1, 2048, 256, 2, 12},
-                                {3, 6, 1, 2048, 256, 2, 12},
-                                {3, 7, 1, 2048, 256, 2, 12},
-                                {3, 8, 1, 2048, 256, 2, 12},
-                                {3, 1, 1, 2048, 512, 2, 20},
-                                {3, 2, 1, 2048, 512, 2, 20},
-                                {3, 3, 1, 2048, 512, 2, 24},
-                                {3, 4, 1, 2048, 512, 2, 20},
-                                {3, 5, 1, 2048, 512, 2, 24},
-                                {3, 6, 1, 2048, 512, 2, 24},
-                                {3, 7, 1, 2048, 512, 2, 24},
-                                {3, 8, 1, 2048, 512, 2, 24},
-                                {3, 1, 1, 2048, 1024, 2, 40},
-                                {3, 2, 1, 2048, 1024, 2, 40},
-                                {3, 3, 1, 2048, 1024, 2, 48},
-                                {3, 4, 1, 2048, 1024, 2, 40},
-                                {3, 5, 1, 2048, 1024, 2, 48},
-                                {3, 6, 1, 2048, 1024, 2, 40},
-                                {3, 7, 1, 2048, 1024, 2, 48},
-                                {3, 8, 1, 2048, 1024, 2, 40},
-                                {3, 1, 1, 2048, 2048, 2, 80},
-                                {3, 2, 1, 2048, 2048, 2, 80},
-                                {3, 3, 1, 2048, 2048, 2, 96},
-                                {3, 4, 1, 2048, 2048, 2, 80},
-                                {3, 5, 1, 2048, 2048, 2, 80},
-                                {3, 6, 1, 2048, 2048, 2, 88},
-                                {3, 7, 1, 2048, 2048, 2, 88},
-                                {3, 8, 1, 2048, 2048, 2, 88},
-                                {3, 1, 1, 2048, 3072, 2, 120},
-                                {3, 2, 1, 2048, 3072, 2, 120},
-                                {3, 3, 1, 2048, 3072, 2, 112},
-                                {3, 4, 1, 2048, 3072, 2, 112},
-                                {3, 5, 1, 2048, 3072, 2, 112},
-                                {3, 6, 1, 2048, 3072, 1, 112},
-                                {3, 7, 1, 2048, 3072, 2, 96},
-                                {3, 8, 1, 2048, 3072, 1, 94},
-                                {3, 1, 1, 2048, 4096, 2, 128},
-                                {3, 2, 1, 2048, 4096, 2, 128},
-                                {3, 3, 1, 2048, 4096, 2, 128},
-                                {3, 4, 1, 2048, 4096, 2, 116},
-                                {3, 5, 1, 2048, 4096, 2, 124},
-                                {3, 6, 1, 2048, 4096, 1, 126},
-                                {3, 7, 1, 2048, 4096, 1, 126},
-                                {3, 8, 1, 2048, 4096, 1, 98},
-                                {3, 1, 1, 2048, 5120, 2, 120},
-                                {3, 2, 1, 2048, 5120, 2, 128},
-                                {3, 3, 1, 2048, 5120, 2, 128},
-                                {3, 4, 1, 2048, 5120, 2, 116},
-                                {3, 5, 1, 2048, 5120, 2, 118},
-                                {3, 6, 1, 2048, 5120, 1, 126},
-                                {3, 7, 1, 2048, 5120, 1, 126},
-                                {3, 8, 1, 2048, 5120, 1, 112},
-                                {3, 1, 1, 2048, 8192, 2, 128},
-                                {3, 2, 1, 2048, 8192, 2, 128},
-                                {3, 3, 1, 2048, 8192, 2, 128},
-                                {3, 4, 1, 2048, 8192, 2, 126},
-                                {3, 5, 1, 2048, 8192, 2, 124},
-                                {3, 6, 1, 2048, 8192, 1, 126},
-                                {3, 7, 1, 2048, 8192, 1, 128},
-                                {3, 8, 1, 2048, 8192, 1, 116},
-                                {3, 1, 1, 2048, 12288, 2, 128},
-                                {3, 2, 1, 2048, 12288, 2, 128},
-                                {3, 3, 1, 2048, 12288, 2, 128},
-                                {3, 4, 1, 2048, 12288, 2, 124},
-                                {3, 5, 1, 2048, 12288, 2, 122},
-                                {3, 6, 1, 2048, 12288, 1, 128},
-                                {3, 7, 1, 2048, 12288, 1, 126},
-                                {3, 8, 1, 2048, 12288, 1, 96},
-                                {3, 1, 1, 2048, 14336, 2, 128},
-                                {3, 2, 1, 2048, 14336, 2, 128},
-                                {3, 3, 1, 2048, 14336, 2, 128},
-                                {3, 4, 1, 2048, 14336, 2, 112},
-                                {3, 5, 1, 2048, 14336, 2, 112},
-                                {3, 6, 1, 2048, 14336, 1, 126},
-                                {3, 7, 1, 2048, 14336, 1, 128},
-                                {3, 8, 1, 2048, 14336, 1, 110},
-                                {3, 1, 1, 2048, 16384, 2, 128},
-                                {3, 2, 1, 2048, 16384, 2, 128},
-                                {3, 3, 1, 2048, 16384, 2, 128},
-                                {3, 4, 1, 2048, 16384, 2, 126},
-                                {3, 5, 1, 2048, 16384, 2, 128},
-                                {3, 6, 1, 2048, 16384, 1, 128},
-                                {3, 7, 1, 2048, 16384, 1, 128},
-                                {3, 8, 1, 2048, 16384, 1, 124},
-                                {3, 1, 1, 2048, 24576, 2, 128},
-                                {3, 2, 1, 2048, 24576, 2, 128},
-                                {3, 3, 1, 2048, 24576, 2, 128},
-                                {3, 4, 1, 2048, 24576, 2, 128},
-                                {3, 5, 1, 2048, 24576, 2, 120},
-                                {3, 6, 1, 2048, 24576, 1, 128},
-                                {3, 7, 1, 2048, 24576, 1, 126},
-                                {3, 8, 1, 2048, 24576, 1, 96},
-                                {3, 1, 1, 2048, 51200, 2, 128},
-                                {3, 2, 1, 2048, 51200, 2, 128},
-                                {3, 3, 1, 2048, 51200, 2, 128},
-                                {3, 4, 1, 2048, 51200, 2, 120},
-                                {3, 5, 1, 2048, 51200, 2, 128},
-                                {3, 6, 1, 2048, 51200, 1, 128},
-                                {3, 7, 1, 2048, 51200, 2, 110},
-                                {3, 8, 1, 2048, 51200, 1, 124},
-                                {3, 1, 1, 2048, 128000, 2, 128},
-                                {3, 2, 1, 2048, 128000, 2, 128},
-                                {3, 3, 1, 2048, 128000, 2, 128},
-                                {3, 4, 1, 2048, 128000, 2, 128},
-                                {3, 5, 1, 2048, 128000, 2, 128},
-                                {3, 6, 1, 2048, 128000, 2, 116},
-                                {3, 7, 1, 2048, 128000, 1, 128},
-                                {3, 8, 1, 2048, 128000, 2, 118},
-                                {3, 1, 1, 3072, 128, 2, 6},
-                                {3, 2, 1, 3072, 128, 2, 6},
-                                {3, 3, 1, 3072, 128, 2, 8},
-                                {3, 4, 1, 3072, 128, 2, 6},
-                                {3, 5, 1, 3072, 128, 2, 8},
-                                {3, 6, 1, 3072, 128, 2, 8},
-                                {3, 7, 1, 3072, 128, 2, 8},
-                                {3, 8, 1, 3072, 128, 2, 8},
-                                {3, 1, 1, 3072, 256, 2, 12},
-                                {3, 2, 1, 3072, 256, 2, 12},
-                                {3, 3, 1, 3072, 256, 2, 16},
-                                {3, 4, 1, 3072, 256, 2, 12},
-                                {3, 5, 1, 3072, 256, 2, 16},
-                                {3, 6, 1, 3072, 256, 2, 16},
-                                {3, 7, 1, 3072, 256, 2, 16},
-                                {3, 8, 1, 3072, 256, 2, 16},
-                                {3, 1, 1, 3072, 512, 2, 24},
-                                {3, 2, 1, 3072, 512, 2, 24},
-                                {3, 3, 1, 3072, 512, 2, 32},
-                                {3, 4, 1, 3072, 512, 2, 24},
-                                {3, 5, 1, 3072, 512, 2, 32},
-                                {3, 6, 1, 3072, 512, 2, 32},
-                                {3, 7, 1, 3072, 512, 2, 32},
-                                {3, 8, 1, 3072, 512, 2, 32},
-                                {3, 1, 1, 3072, 1024, 2, 48},
-                                {3, 2, 1, 3072, 1024, 2, 48},
-                                {3, 3, 1, 3072, 1024, 2, 64},
-                                {3, 4, 1, 3072, 1024, 2, 48},
-                                {3, 5, 1, 3072, 1024, 2, 56},
-                                {3, 6, 1, 3072, 1024, 2, 48},
-                                {3, 7, 1, 3072, 1024, 2, 56},
-                                {3, 8, 1, 3072, 1024, 2, 56},
-                                {3, 1, 1, 3072, 2048, 2, 96},
-                                {3, 2, 1, 3072, 2048, 2, 96},
-                                {3, 3, 1, 3072, 2048, 2, 128},
-                                {3, 4, 1, 3072, 2048, 2, 88},
-                                {3, 5, 1, 3072, 2048, 2, 96},
-                                {3, 6, 1, 3072, 2048, 2, 96},
-                                {3, 7, 1, 3072, 2048, 2, 96},
-                                {3, 8, 1, 3072, 2048, 1, 88},
-                                {3, 1, 1, 3072, 3072, 2, 128},
-                                {3, 2, 1, 3072, 3072, 2, 116},
-                                {3, 3, 1, 3072, 3072, 2, 116},
-                                {3, 4, 1, 3072, 3072, 2, 116},
-                                {3, 5, 1, 3072, 3072, 2, 118},
-                                {3, 6, 1, 3072, 3072, 1, 118},
-                                {3, 7, 1, 3072, 3072, 2, 94},
-                                {3, 8, 1, 3072, 3072, 1, 96},
-                                {3, 1, 1, 3072, 4096, 2, 128},
-                                {3, 2, 1, 3072, 4096, 2, 128},
-                                {3, 3, 1, 3072, 4096, 2, 128},
-                                {3, 4, 1, 3072, 4096, 2, 128},
-                                {3, 5, 1, 3072, 4096, 2, 128},
-                                {3, 6, 1, 3072, 4096, 1, 124},
-                                {3, 7, 1, 3072, 4096, 1, 128},
-                                {3, 8, 1, 3072, 4096, 1, 98},
-                                {3, 1, 1, 3072, 5120, 2, 128},
-                                {3, 2, 1, 3072, 5120, 2, 128},
-                                {3, 3, 1, 3072, 5120, 2, 128},
-                                {3, 4, 1, 3072, 5120, 2, 124},
-                                {3, 5, 1, 3072, 5120, 2, 120},
-                                {3, 6, 1, 3072, 5120, 1, 126},
-                                {3, 7, 1, 3072, 5120, 1, 128},
-                                {3, 8, 1, 3072, 5120, 1, 98},
-                                {3, 1, 1, 3072, 8192, 2, 128},
-                                {3, 2, 1, 3072, 8192, 2, 128},
-                                {3, 3, 1, 3072, 8192, 2, 128},
-                                {3, 4, 1, 3072, 8192, 2, 122},
-                                {3, 5, 1, 3072, 8192, 2, 126},
-                                {3, 6, 1, 3072, 8192, 1, 128},
-                                {3, 7, 1, 3072, 8192, 1, 128},
-                                {3, 8, 1, 3072, 8192, 1, 116},
-                                {3, 1, 1, 3072, 12288, 2, 128},
-                                {3, 2, 1, 3072, 12288, 2, 128},
-                                {3, 3, 1, 3072, 12288, 2, 128},
-                                {3, 4, 1, 3072, 12288, 2, 128},
-                                {3, 5, 1, 3072, 12288, 2, 128},
-                                {3, 6, 1, 3072, 12288, 1, 128},
-                                {3, 7, 1, 3072, 12288, 1, 126},
-                                {3, 8, 1, 3072, 12288, 1, 96},
-                                {3, 1, 1, 3072, 14336, 2, 128},
-                                {3, 2, 1, 3072, 14336, 2, 128},
-                                {3, 3, 1, 3072, 14336, 2, 128},
-                                {3, 4, 1, 3072, 14336, 2, 112},
-                                {3, 5, 1, 3072, 14336, 2, 112},
-                                {3, 6, 1, 3072, 14336, 1, 128},
-                                {3, 7, 1, 3072, 14336, 1, 128},
-                                {3, 8, 1, 3072, 14336, 1, 110},
-                                {3, 1, 1, 3072, 16384, 2, 128},
-                                {3, 2, 1, 3072, 16384, 2, 128},
-                                {3, 3, 1, 3072, 16384, 2, 128},
-                                {3, 4, 1, 3072, 16384, 2, 128},
-                                {3, 5, 1, 3072, 16384, 2, 128},
-                                {3, 6, 1, 3072, 16384, 1, 128},
-                                {3, 7, 1, 3072, 16384, 1, 128},
-                                {3, 8, 1, 3072, 16384, 1, 126},
-                                {3, 1, 1, 3072, 24576, 2, 128},
-                                {3, 2, 1, 3072, 24576, 2, 128},
-                                {3, 3, 1, 3072, 24576, 2, 128},
-                                {3, 4, 1, 3072, 24576, 2, 126},
-                                {3, 5, 1, 3072, 24576, 2, 126},
-                                {3, 6, 1, 3072, 24576, 1, 128},
-                                {3, 7, 1, 3072, 24576, 1, 126},
-                                {3, 8, 1, 3072, 24576, 1, 96},
-                                {3, 1, 1, 3072, 51200, 2, 128},
-                                {3, 2, 1, 3072, 51200, 2, 128},
-                                {3, 3, 1, 3072, 51200, 2, 128},
-                                {3, 4, 1, 3072, 51200, 2, 120},
-                                {3, 5, 1, 3072, 51200, 2, 128},
-                                {3, 6, 1, 3072, 51200, 2, 128},
-                                {3, 7, 1, 3072, 51200, 2, 102},
-                                {3, 8, 1, 3072, 51200, 1, 124},
-                                {3, 1, 1, 3072, 128000, 2, 128},
-                                {3, 2, 1, 3072, 128000, 2, 128},
-                                {3, 3, 1, 3072, 128000, 2, 128},
-                                {3, 4, 1, 3072, 128000, 2, 128},
-                                {3, 5, 1, 3072, 128000, 2, 124},
-                                {3, 6, 1, 3072, 128000, 2, 116},
-                                {3, 7, 1, 3072, 128000, 2, 122},
-                                {3, 8, 1, 3072, 128000, 2, 118},
-                                {3, 1, 1, 4096, 128, 2, 8},
-                                {3, 2, 1, 4096, 128, 2, 8},
-                                {3, 3, 1, 4096, 128, 2, 8},
-                                {3, 4, 1, 4096, 128, 2, 8},
-                                {3, 5, 1, 4096, 128, 2, 8},
-                                {3, 6, 1, 4096, 128, 2, 8},
-                                {3, 7, 1, 4096, 128, 2, 8},
-                                {3, 8, 1, 4096, 128, 2, 8},
-                                {3, 1, 1, 4096, 256, 2, 16},
-                                {3, 2, 1, 4096, 256, 2, 16},
-                                {3, 3, 1, 4096, 256, 2, 16},
-                                {3, 4, 1, 4096, 256, 2, 16},
-                                {3, 5, 1, 4096, 256, 2, 16},
-                                {3, 6, 1, 4096, 256, 2, 16},
-                                {3, 7, 1, 4096, 256, 2, 16},
-                                {3, 8, 1, 4096, 256, 2, 16},
-                                {3, 1, 1, 4096, 512, 2, 32},
-                                {3, 2, 1, 4096, 512, 2, 32},
-                                {3, 3, 1, 4096, 512, 2, 32},
-                                {3, 4, 1, 4096, 512, 2, 32},
-                                {3, 5, 1, 4096, 512, 2, 32},
-                                {3, 6, 1, 4096, 512, 2, 32},
-                                {3, 7, 1, 4096, 512, 2, 32},
-                                {3, 8, 1, 4096, 512, 2, 32},
-                                {3, 1, 1, 4096, 1024, 2, 64},
-                                {3, 2, 1, 4096, 1024, 2, 64},
-                                {3, 3, 1, 4096, 1024, 2, 64},
-                                {3, 4, 1, 4096, 1024, 2, 56},
-                                {3, 5, 1, 4096, 1024, 2, 64},
-                                {3, 6, 1, 4096, 1024, 2, 62},
-                                {3, 7, 1, 4096, 1024, 2, 62},
-                                {3, 8, 1, 4096, 1024, 2, 62},
-                                {3, 1, 1, 4096, 2048, 2, 128},
-                                {3, 2, 1, 4096, 2048, 2, 128},
-                                {3, 3, 1, 4096, 2048, 2, 128},
-                                {3, 4, 1, 4096, 2048, 2, 116},
-                                {3, 5, 1, 4096, 2048, 2, 116},
-                                {3, 6, 1, 4096, 2048, 2, 92},
-                                {3, 7, 1, 4096, 2048, 2, 94},
-                                {3, 8, 1, 4096, 2048, 1, 96},
-                                {3, 1, 1, 4096, 3072, 2, 128},
-                                {3, 2, 1, 4096, 3072, 2, 128},
-                                {3, 3, 1, 4096, 3072, 2, 128},
-                                {3, 4, 1, 4096, 3072, 2, 110},
-                                {3, 5, 1, 4096, 3072, 2, 110},
-                                {3, 6, 1, 4096, 3072, 1, 128},
-                                {3, 7, 1, 4096, 3072, 2, 96},
-                                {3, 8, 1, 4096, 3072, 1, 96},
-                                {3, 1, 1, 4096, 4096, 2, 128},
-                                {3, 2, 1, 4096, 4096, 2, 128},
-                                {3, 3, 1, 4096, 4096, 2, 126},
-                                {3, 4, 1, 4096, 4096, 2, 128},
-                                {3, 5, 1, 4096, 4096, 2, 126},
-                                {3, 6, 1, 4096, 4096, 1, 124},
-                                {3, 7, 1, 4096, 4096, 1, 126},
-                                {3, 8, 1, 4096, 4096, 1, 102},
-                                {3, 1, 1, 4096, 5120, 2, 128},
-                                {3, 2, 1, 4096, 5120, 2, 128},
-                                {3, 3, 1, 4096, 5120, 2, 128},
-                                {3, 4, 1, 4096, 5120, 2, 118},
-                                {3, 5, 1, 4096, 5120, 2, 128},
-                                {3, 6, 1, 4096, 5120, 1, 122},
-                                {3, 7, 1, 4096, 5120, 1, 128},
-                                {3, 8, 1, 4096, 5120, 1, 96},
-                                {3, 1, 1, 4096, 8192, 2, 128},
-                                {3, 2, 1, 4096, 8192, 2, 128},
-                                {3, 3, 1, 4096, 8192, 2, 128},
-                                {3, 4, 1, 4096, 8192, 2, 128},
-                                {3, 5, 1, 4096, 8192, 2, 128},
-                                {3, 6, 1, 4096, 8192, 1, 128},
-                                {3, 7, 1, 4096, 8192, 1, 128},
-                                {3, 8, 1, 4096, 8192, 1, 126},
-                                {3, 1, 1, 4096, 12288, 2, 128},
-                                {3, 2, 1, 4096, 12288, 2, 128},
-                                {3, 3, 1, 4096, 12288, 2, 128},
-                                {3, 4, 1, 4096, 12288, 2, 128},
-                                {3, 5, 1, 4096, 12288, 2, 128},
-                                {3, 6, 1, 4096, 12288, 1, 128},
-                                {3, 7, 1, 4096, 12288, 1, 126},
-                                {3, 8, 1, 4096, 12288, 1, 96},
-                                {3, 1, 1, 4096, 14336, 2, 128},
-                                {3, 2, 1, 4096, 14336, 2, 128},
-                                {3, 3, 1, 4096, 14336, 2, 128},
-                                {3, 4, 1, 4096, 14336, 2, 122},
-                                {3, 5, 1, 4096, 14336, 2, 112},
-                                {3, 6, 1, 4096, 14336, 1, 128},
-                                {3, 7, 1, 4096, 14336, 1, 128},
-                                {3, 8, 1, 4096, 14336, 1, 110},
-                                {3, 1, 1, 4096, 16384, 2, 128},
-                                {3, 2, 1, 4096, 16384, 2, 128},
-                                {3, 3, 1, 4096, 16384, 2, 128},
-                                {3, 4, 1, 4096, 16384, 2, 126},
-                                {3, 5, 1, 4096, 16384, 2, 128},
-                                {3, 6, 1, 4096, 16384, 1, 128},
-                                {3, 7, 1, 4096, 16384, 1, 128},
-                                {3, 8, 1, 4096, 16384, 2, 128},
-                                {3, 1, 1, 4096, 24576, 2, 128},
-                                {3, 2, 1, 4096, 24576, 2, 128},
-                                {3, 3, 1, 4096, 24576, 2, 128},
-                                {3, 4, 1, 4096, 24576, 2, 126},
-                                {3, 5, 1, 4096, 24576, 2, 126},
-                                {3, 6, 1, 4096, 24576, 1, 128},
-                                {3, 7, 1, 4096, 24576, 1, 126},
-                                {3, 8, 1, 4096, 24576, 1, 96},
-                                {3, 1, 1, 4096, 51200, 2, 128},
-                                {3, 2, 1, 4096, 51200, 2, 128},
-                                {3, 3, 1, 4096, 51200, 2, 128},
-                                {3, 4, 1, 4096, 51200, 2, 120},
-                                {3, 5, 1, 4096, 51200, 2, 128},
-                                {3, 6, 1, 4096, 51200, 1, 128},
-                                {3, 7, 1, 4096, 51200, 2, 126},
-                                {3, 8, 1, 4096, 51200, 1, 124},
-                                {3, 1, 1, 4096, 128000, 2, 128},
-                                {3, 2, 1, 4096, 128000, 2, 128},
-                                {3, 3, 1, 4096, 128000, 2, 128},
-                                {3, 4, 1, 4096, 128000, 2, 128},
-                                {3, 5, 1, 4096, 128000, 2, 128},
-                                {3, 6, 1, 4096, 128000, 2, 120},
-                                {3, 7, 1, 4096, 128000, 2, 108},
-                                {3, 8, 1, 4096, 128000, 1, 126},
-                                {3, 1, 1, 5120, 128, 2, 10},
-                                {3, 2, 1, 5120, 128, 2, 8},
-                                {3, 3, 1, 5120, 128, 2, 10},
-                                {3, 4, 1, 5120, 128, 2, 8},
-                                {3, 5, 1, 5120, 128, 2, 10},
-                                {3, 6, 1, 5120, 128, 2, 10},
-                                {3, 7, 1, 5120, 128, 2, 10},
-                                {3, 8, 1, 5120, 128, 2, 10},
-                                {3, 1, 1, 5120, 256, 2, 18},
-                                {3, 2, 1, 5120, 256, 2, 18},
-                                {3, 3, 1, 5120, 256, 2, 20},
-                                {3, 4, 1, 5120, 256, 2, 18},
-                                {3, 5, 1, 5120, 256, 2, 20},
-                                {3, 6, 1, 5120, 256, 2, 20},
-                                {3, 7, 1, 5120, 256, 2, 20},
-                                {3, 8, 1, 5120, 256, 2, 20},
-                                {3, 1, 1, 5120, 512, 2, 32},
-                                {3, 2, 1, 5120, 512, 2, 36},
-                                {3, 3, 1, 5120, 512, 2, 40},
-                                {3, 4, 1, 5120, 512, 2, 32},
-                                {3, 5, 1, 5120, 512, 2, 40},
-                                {3, 6, 1, 5120, 512, 2, 32},
-                                {3, 7, 1, 5120, 512, 2, 32},
-                                {3, 8, 1, 5120, 512, 2, 32},
-                                {3, 1, 1, 5120, 1024, 2, 72},
-                                {3, 2, 1, 5120, 1024, 2, 72},
-                                {3, 3, 1, 5120, 1024, 2, 72},
-                                {3, 4, 1, 5120, 1024, 2, 64},
-                                {3, 5, 1, 5120, 1024, 2, 72},
-                                {3, 6, 1, 5120, 1024, 2, 72},
-                                {3, 7, 1, 5120, 1024, 2, 72},
-                                {3, 8, 1, 5120, 1024, 2, 72},
-                                {3, 1, 1, 5120, 2048, 2, 128},
-                                {3, 2, 1, 5120, 2048, 2, 128},
-                                {3, 3, 1, 5120, 2048, 2, 124},
-                                {3, 4, 1, 5120, 2048, 2, 112},
-                                {3, 5, 1, 5120, 2048, 2, 110},
-                                {3, 6, 1, 5120, 2048, 2, 90},
-                                {3, 7, 1, 5120, 2048, 2, 90},
-                                {3, 8, 1, 5120, 2048, 2, 80},
-                                {3, 1, 1, 5120, 3072, 2, 128},
-                                {3, 2, 1, 5120, 3072, 2, 128},
-                                {3, 3, 1, 5120, 3072, 2, 128},
-                                {3, 4, 1, 5120, 3072, 2, 116},
-                                {3, 5, 1, 5120, 3072, 2, 120},
-                                {3, 6, 1, 5120, 3072, 1, 128},
-                                {3, 7, 1, 5120, 3072, 2, 94},
-                                {3, 8, 1, 5120, 3072, 1, 96},
-                                {3, 1, 1, 5120, 4096, 2, 128},
-                                {3, 2, 1, 5120, 4096, 2, 128},
-                                {3, 3, 1, 5120, 4096, 2, 128},
-                                {3, 4, 1, 5120, 4096, 2, 128},
-                                {3, 5, 1, 5120, 4096, 2, 126},
-                                {3, 6, 1, 5120, 4096, 1, 126},
-                                {3, 7, 1, 5120, 4096, 1, 128},
-                                {3, 8, 1, 5120, 4096, 1, 94},
-                                {3, 1, 1, 5120, 5120, 2, 128},
-                                {3, 2, 1, 5120, 5120, 2, 128},
-                                {3, 3, 1, 5120, 5120, 2, 128},
-                                {3, 4, 1, 5120, 5120, 2, 118},
-                                {3, 5, 1, 5120, 5120, 2, 116},
-                                {3, 6, 1, 5120, 5120, 1, 122},
-                                {3, 7, 1, 5120, 5120, 1, 128},
-                                {3, 8, 1, 5120, 5120, 1, 102},
-                                {3, 1, 1, 5120, 8192, 2, 128},
-                                {3, 2, 1, 5120, 8192, 2, 128},
-                                {3, 3, 1, 5120, 8192, 2, 128},
-                                {3, 4, 1, 5120, 8192, 2, 128},
-                                {3, 5, 1, 5120, 8192, 2, 128},
-                                {3, 6, 1, 5120, 8192, 1, 128},
-                                {3, 7, 1, 5120, 8192, 1, 128},
-                                {3, 8, 1, 5120, 8192, 1, 126},
-                                {3, 1, 1, 5120, 12288, 2, 128},
-                                {3, 2, 1, 5120, 12288, 2, 128},
-                                {3, 3, 1, 5120, 12288, 2, 128},
-                                {3, 4, 1, 5120, 12288, 2, 128},
-                                {3, 5, 1, 5120, 12288, 2, 122},
-                                {3, 6, 1, 5120, 12288, 1, 128},
-                                {3, 7, 1, 5120, 12288, 1, 126},
-                                {3, 8, 1, 5120, 12288, 1, 96},
-                                {3, 1, 1, 5120, 14336, 2, 128},
-                                {3, 2, 1, 5120, 14336, 2, 128},
-                                {3, 3, 1, 5120, 14336, 2, 128},
-                                {3, 4, 1, 5120, 14336, 2, 112},
-                                {3, 5, 1, 5120, 14336, 2, 112},
-                                {3, 6, 1, 5120, 14336, 1, 128},
-                                {3, 7, 1, 5120, 14336, 1, 128},
-                                {3, 8, 1, 5120, 14336, 1, 110},
-                                {3, 1, 1, 5120, 16384, 2, 128},
-                                {3, 2, 1, 5120, 16384, 2, 128},
-                                {3, 3, 1, 5120, 16384, 2, 128},
-                                {3, 4, 1, 5120, 16384, 2, 128},
-                                {3, 5, 1, 5120, 16384, 2, 128},
-                                {3, 6, 1, 5120, 16384, 1, 128},
-                                {3, 7, 1, 5120, 16384, 1, 128},
-                                {3, 8, 1, 5120, 16384, 1, 126},
-                                {3, 1, 1, 5120, 24576, 2, 128},
-                                {3, 2, 1, 5120, 24576, 2, 128},
-                                {3, 3, 1, 5120, 24576, 2, 128},
-                                {3, 4, 1, 5120, 24576, 2, 128},
-                                {3, 5, 1, 5120, 24576, 2, 126},
-                                {3, 6, 1, 5120, 24576, 1, 128},
-                                {3, 7, 1, 5120, 24576, 1, 126},
-                                {3, 8, 1, 5120, 24576, 1, 96},
-                                {3, 1, 1, 5120, 51200, 2, 128},
-                                {3, 2, 1, 5120, 51200, 2, 128},
-                                {3, 3, 1, 5120, 51200, 2, 128},
-                                {3, 4, 1, 5120, 51200, 2, 120},
-                                {3, 5, 1, 5120, 51200, 2, 126},
-                                {3, 6, 1, 5120, 51200, 2, 128},
-                                {3, 7, 1, 5120, 51200, 2, 102},
-                                {3, 8, 1, 5120, 51200, 1, 124},
-                                {3, 1, 1, 5120, 128000, 2, 128},
-                                {3, 2, 1, 5120, 128000, 2, 128},
-                                {3, 3, 1, 5120, 128000, 2, 128},
-                                {3, 4, 1, 5120, 128000, 2, 128},
-                                {3, 5, 1, 5120, 128000, 2, 124},
-                                {3, 6, 1, 5120, 128000, 2, 116},
-                                {3, 7, 1, 5120, 128000, 2, 124},
-                                {3, 8, 1, 5120, 128000, 2, 118},
-                                {3, 1, 1, 8192, 128, 2, 10},
-                                {3, 2, 1, 8192, 128, 2, 10},
-                                {3, 3, 1, 8192, 128, 2, 12},
-                                {3, 4, 1, 8192, 128, 2, 10},
-                                {3, 5, 1, 8192, 128, 2, 12},
-                                {3, 6, 1, 8192, 128, 2, 12},
-                                {3, 7, 1, 8192, 128, 2, 12},
-                                {3, 8, 1, 8192, 128, 2, 12},
-                                {3, 1, 1, 8192, 256, 2, 20},
-                                {3, 2, 1, 8192, 256, 2, 20},
-                                {3, 3, 1, 8192, 256, 2, 24},
-                                {3, 4, 1, 8192, 256, 2, 20},
-                                {3, 5, 1, 8192, 256, 2, 26},
-                                {3, 6, 1, 8192, 256, 2, 26},
-                                {3, 7, 1, 8192, 256, 2, 26},
-                                {3, 8, 1, 8192, 256, 2, 26},
-                                {3, 1, 1, 8192, 512, 2, 48},
-                                {3, 2, 1, 8192, 512, 2, 40},
-                                {3, 3, 1, 8192, 512, 2, 54},
-                                {3, 4, 1, 8192, 512, 2, 32},
-                                {3, 5, 1, 8192, 512, 2, 40},
-                                {3, 6, 1, 8192, 512, 2, 40},
-                                {3, 7, 1, 8192, 512, 2, 54},
-                                {3, 8, 1, 8192, 512, 2, 54},
-                                {3, 1, 1, 8192, 1024, 2, 86},
-                                {3, 2, 1, 8192, 1024, 2, 72},
-                                {3, 3, 1, 8192, 1024, 2, 88},
-                                {3, 4, 1, 8192, 1024, 2, 72},
-                                {3, 5, 1, 8192, 1024, 2, 86},
-                                {3, 6, 1, 8192, 1024, 2, 86},
-                                {3, 7, 1, 8192, 1024, 2, 86},
-                                {3, 8, 1, 8192, 1024, 2, 76},
-                                {3, 1, 1, 8192, 2048, 2, 128},
-                                {3, 2, 1, 8192, 2048, 2, 128},
-                                {3, 3, 1, 8192, 2048, 2, 128},
-                                {3, 4, 1, 8192, 2048, 2, 112},
-                                {3, 5, 1, 8192, 2048, 2, 114},
-                                {3, 6, 1, 8192, 2048, 1, 126},
-                                {3, 7, 1, 8192, 2048, 2, 96},
-                                {3, 8, 1, 8192, 2048, 1, 96},
-                                {3, 1, 1, 8192, 3072, 2, 128},
-                                {3, 2, 1, 8192, 3072, 2, 128},
-                                {3, 3, 1, 8192, 3072, 2, 128},
-                                {3, 4, 1, 8192, 3072, 2, 118},
-                                {3, 5, 1, 8192, 3072, 2, 122},
-                                {3, 6, 1, 8192, 3072, 1, 126},
-                                {3, 7, 1, 8192, 3072, 2, 96},
-                                {3, 8, 1, 8192, 3072, 1, 96},
-                                {3, 1, 1, 8192, 4096, 2, 128},
-                                {3, 2, 1, 8192, 4096, 2, 128},
-                                {3, 3, 1, 8192, 4096, 2, 128},
-                                {3, 4, 1, 8192, 4096, 2, 128},
-                                {3, 5, 1, 8192, 4096, 2, 126},
-                                {3, 6, 1, 8192, 4096, 1, 128},
-                                {3, 7, 1, 8192, 4096, 1, 126},
-                                {3, 8, 1, 8192, 4096, 1, 98},
-                                {3, 1, 1, 8192, 5120, 2, 128},
-                                {3, 2, 1, 8192, 5120, 2, 128},
-                                {3, 3, 1, 8192, 5120, 2, 128},
-                                {3, 4, 1, 8192, 5120, 2, 118},
-                                {3, 5, 1, 8192, 5120, 2, 120},
-                                {3, 6, 1, 8192, 5120, 1, 126},
-                                {3, 7, 1, 8192, 5120, 1, 126},
-                                {3, 8, 1, 8192, 5120, 1, 96},
-                                {3, 1, 1, 8192, 8192, 2, 128},
-                                {3, 2, 1, 8192, 8192, 2, 128},
-                                {3, 3, 1, 8192, 8192, 2, 128},
-                                {3, 4, 1, 8192, 8192, 2, 128},
-                                {3, 5, 1, 8192, 8192, 2, 128},
-                                {3, 6, 1, 8192, 8192, 1, 128},
-                                {3, 7, 1, 8192, 8192, 1, 128},
-                                {3, 8, 1, 8192, 8192, 1, 126},
-                                {3, 1, 1, 8192, 12288, 2, 128},
-                                {3, 2, 1, 8192, 12288, 2, 128},
-                                {3, 3, 1, 8192, 12288, 2, 128},
-                                {3, 4, 1, 8192, 12288, 2, 128},
-                                {3, 5, 1, 8192, 12288, 2, 126},
-                                {3, 6, 1, 8192, 12288, 1, 128},
-                                {3, 7, 1, 8192, 12288, 1, 126},
-                                {3, 8, 1, 8192, 12288, 1, 96},
-                                {3, 1, 1, 8192, 14336, 2, 128},
-                                {3, 2, 1, 8192, 14336, 2, 128},
-                                {3, 3, 1, 8192, 14336, 2, 128},
-                                {3, 4, 1, 8192, 14336, 2, 124},
-                                {3, 5, 1, 8192, 14336, 2, 112},
-                                {3, 6, 1, 8192, 14336, 1, 128},
-                                {3, 7, 1, 8192, 14336, 1, 128},
-                                {3, 8, 1, 8192, 14336, 1, 114},
-                                {3, 1, 1, 8192, 16384, 2, 128},
-                                {3, 2, 1, 8192, 16384, 2, 128},
-                                {3, 3, 1, 8192, 16384, 2, 128},
-                                {3, 4, 1, 8192, 16384, 2, 128},
-                                {3, 5, 1, 8192, 16384, 2, 128},
-                                {3, 6, 1, 8192, 16384, 1, 128},
-                                {3, 7, 1, 8192, 16384, 1, 128},
-                                {3, 8, 1, 8192, 16384, 2, 128},
-                                {3, 1, 1, 8192, 24576, 2, 128},
-                                {3, 2, 1, 8192, 24576, 2, 128},
-                                {3, 3, 1, 8192, 24576, 2, 128},
-                                {3, 4, 1, 8192, 24576, 2, 122},
-                                {3, 5, 1, 8192, 24576, 2, 126},
-                                {3, 6, 1, 8192, 24576, 1, 128},
-                                {3, 7, 1, 8192, 24576, 2, 96},
-                                {3, 8, 1, 8192, 24576, 1, 96},
-                                {3, 1, 1, 8192, 51200, 2, 128},
-                                {3, 2, 1, 8192, 51200, 2, 128},
-                                {3, 3, 1, 8192, 51200, 2, 128},
-                                {3, 4, 1, 8192, 51200, 2, 120},
-                                {3, 5, 1, 8192, 51200, 2, 128},
-                                {3, 6, 1, 8192, 51200, 2, 128},
-                                {3, 7, 1, 8192, 51200, 2, 122},
-                                {3, 8, 1, 8192, 51200, 2, 120},
-                                {3, 1, 1, 8192, 128000, 2, 128},
-                                {3, 2, 1, 8192, 128000, 2, 128},
-                                {3, 3, 1, 8192, 128000, 2, 128},
-                                {3, 4, 1, 8192, 128000, 2, 128},
-                                {3, 5, 1, 8192, 128000, 2, 124},
-                                {3, 6, 1, 8192, 128000, 2, 116},
-                                {3, 7, 1, 8192, 128000, 2, 128},
-                                {3, 8, 1, 8192, 128000, 2, 126},
-                                {3, 1, 1, 12288, 128, 2, 12},
-                                {3, 2, 1, 12288, 128, 2, 12},
-                                {3, 3, 1, 12288, 128, 2, 16},
-                                {3, 4, 1, 12288, 128, 2, 12},
-                                {3, 5, 1, 12288, 128, 2, 16},
-                                {3, 6, 1, 12288, 128, 2, 16},
-                                {3, 7, 1, 12288, 128, 2, 16},
-                                {3, 8, 1, 12288, 128, 2, 16},
-                                {3, 1, 1, 12288, 256, 2, 26},
-                                {3, 2, 1, 12288, 256, 2, 26},
-                                {3, 3, 1, 12288, 256, 2, 32},
-                                {3, 4, 1, 12288, 256, 2, 24},
-                                {3, 5, 1, 12288, 256, 2, 24},
-                                {3, 6, 1, 12288, 256, 2, 32},
-                                {3, 7, 1, 12288, 256, 2, 32},
-                                {3, 8, 1, 12288, 256, 2, 32},
-                                {3, 1, 1, 12288, 512, 2, 48},
-                                {3, 2, 1, 12288, 512, 2, 52},
-                                {3, 3, 1, 12288, 512, 2, 62},
-                                {3, 4, 1, 12288, 512, 2, 52},
-                                {3, 5, 1, 12288, 512, 2, 56},
-                                {3, 6, 1, 12288, 512, 2, 56},
-                                {3, 7, 1, 12288, 512, 2, 64},
-                                {3, 8, 1, 12288, 512, 2, 62},
-                                {3, 1, 1, 12288, 1024, 2, 102},
-                                {3, 2, 1, 12288, 1024, 2, 104},
-                                {3, 3, 1, 12288, 1024, 2, 124},
-                                {3, 4, 1, 12288, 1024, 2, 96},
-                                {3, 5, 1, 12288, 1024, 2, 96},
-                                {3, 6, 1, 12288, 1024, 2, 96},
-                                {3, 7, 1, 12288, 1024, 2, 88},
-                                {3, 8, 1, 12288, 1024, 2, 76},
-                                {3, 1, 1, 12288, 2048, 2, 128},
-                                {3, 2, 1, 12288, 2048, 2, 128},
-                                {3, 3, 1, 12288, 2048, 2, 128},
-                                {3, 4, 1, 12288, 2048, 2, 112},
-                                {3, 5, 1, 12288, 2048, 2, 114},
-                                {3, 6, 1, 12288, 2048, 2, 94},
-                                {3, 7, 1, 12288, 2048, 2, 96},
-                                {3, 8, 1, 12288, 2048, 1, 96},
-                                {3, 1, 1, 12288, 3072, 2, 128},
-                                {3, 2, 1, 12288, 3072, 2, 128},
-                                {3, 3, 1, 12288, 3072, 2, 128},
-                                {3, 4, 1, 12288, 3072, 2, 118},
-                                {3, 5, 1, 12288, 3072, 2, 120},
-                                {3, 6, 1, 12288, 3072, 1, 128},
-                                {3, 7, 1, 12288, 3072, 2, 96},
-                                {3, 8, 1, 12288, 3072, 1, 96},
-                                {3, 1, 1, 12288, 4096, 2, 128},
-                                {3, 2, 1, 12288, 4096, 2, 128},
-                                {3, 3, 1, 12288, 4096, 2, 128},
-                                {3, 4, 1, 12288, 4096, 2, 128},
-                                {3, 5, 1, 12288, 4096, 2, 128},
-                                {3, 6, 1, 12288, 4096, 1, 128},
-                                {3, 7, 1, 12288, 4096, 1, 128},
-                                {3, 8, 1, 12288, 4096, 1, 98},
-                                {3, 1, 1, 12288, 5120, 2, 128},
-                                {3, 2, 1, 12288, 5120, 2, 128},
-                                {3, 3, 1, 12288, 5120, 2, 128},
-                                {3, 4, 1, 12288, 5120, 2, 120},
-                                {3, 5, 1, 12288, 5120, 2, 120},
-                                {3, 6, 1, 12288, 5120, 1, 120},
-                                {3, 7, 1, 12288, 5120, 1, 126},
-                                {3, 8, 1, 12288, 5120, 1, 120},
-                                {3, 1, 1, 12288, 8192, 2, 128},
-                                {3, 2, 1, 12288, 8192, 2, 128},
-                                {3, 3, 1, 12288, 8192, 2, 128},
-                                {3, 4, 1, 12288, 8192, 2, 128},
-                                {3, 5, 1, 12288, 8192, 2, 128},
-                                {3, 6, 1, 12288, 8192, 1, 128},
-                                {3, 7, 1, 12288, 8192, 1, 128},
-                                {3, 8, 1, 12288, 8192, 1, 116},
-                                {3, 1, 1, 12288, 12288, 2, 128},
-                                {3, 2, 1, 12288, 12288, 2, 128},
-                                {3, 3, 1, 12288, 12288, 2, 128},
-                                {3, 4, 1, 12288, 12288, 2, 128},
-                                {3, 5, 1, 12288, 12288, 2, 126},
-                                {3, 6, 1, 12288, 12288, 1, 128},
-                                {3, 7, 1, 12288, 12288, 1, 126},
-                                {3, 8, 1, 12288, 12288, 1, 96},
-                                {3, 1, 1, 12288, 14336, 2, 128},
-                                {3, 2, 1, 12288, 14336, 2, 128},
-                                {3, 3, 1, 12288, 14336, 2, 128},
-                                {3, 4, 1, 12288, 14336, 2, 128},
-                                {3, 5, 1, 12288, 14336, 2, 112},
-                                {3, 6, 1, 12288, 14336, 2, 110},
-                                {3, 7, 1, 12288, 14336, 1, 128},
-                                {3, 8, 1, 12288, 14336, 2, 112},
-                                {3, 1, 1, 12288, 16384, 2, 128},
-                                {3, 2, 1, 12288, 16384, 2, 128},
-                                {3, 3, 1, 12288, 16384, 2, 128},
-                                {3, 4, 1, 12288, 16384, 2, 128},
-                                {3, 5, 1, 12288, 16384, 2, 128},
-                                {3, 6, 1, 12288, 16384, 1, 128},
-                                {3, 7, 1, 12288, 16384, 1, 128},
-                                {3, 8, 1, 12288, 16384, 2, 128},
-                                {3, 1, 1, 12288, 24576, 2, 128},
-                                {3, 2, 1, 12288, 24576, 2, 128},
-                                {3, 3, 1, 12288, 24576, 2, 128},
-                                {3, 4, 1, 12288, 24576, 2, 128},
-                                {3, 5, 1, 12288, 24576, 2, 120},
-                                {3, 6, 1, 12288, 24576, 1, 128},
-                                {3, 7, 1, 12288, 24576, 2, 96},
-                                {3, 8, 1, 12288, 24576, 1, 96},
-                                {3, 1, 1, 12288, 51200, 2, 128},
-                                {3, 2, 1, 12288, 51200, 2, 128},
-                                {3, 3, 1, 12288, 51200, 2, 128},
-                                {3, 4, 1, 12288, 51200, 2, 120},
-                                {3, 5, 1, 12288, 51200, 2, 126},
-                                {3, 6, 1, 12288, 51200, 2, 128},
-                                {3, 7, 1, 12288, 51200, 2, 122},
-                                {3, 8, 1, 12288, 51200, 2, 124},
-                                {3, 1, 1, 12288, 128000, 2, 128},
-                                {3, 2, 1, 12288, 128000, 2, 128},
-                                {3, 3, 1, 12288, 128000, 2, 128},
-                                {3, 4, 1, 12288, 128000, 2, 128},
-                                {3, 5, 1, 12288, 128000, 2, 128},
-                                {3, 6, 1, 12288, 128000, 2, 120},
-                                {3, 7, 1, 12288, 128000, 2, 128},
-                                {3, 8, 1, 12288, 128000, 2, 118},
-                                {3, 1, 1, 14336, 128, 2, 16},
-                                {3, 2, 1, 14336, 128, 2, 14},
-                                {3, 3, 1, 14336, 128, 2, 16},
-                                {3, 4, 1, 14336, 128, 2, 14},
-                                {3, 5, 1, 14336, 128, 2, 16},
-                                {3, 6, 1, 14336, 128, 2, 16},
-                                {3, 7, 1, 14336, 128, 2, 18},
-                                {3, 8, 1, 14336, 128, 2, 16},
-                                {3, 1, 1, 14336, 256, 2, 30},
-                                {3, 2, 1, 14336, 256, 2, 30},
-                                {3, 3, 1, 14336, 256, 2, 32},
-                                {3, 4, 1, 14336, 256, 2, 30},
-                                {3, 5, 1, 14336, 256, 2, 32},
-                                {3, 6, 1, 14336, 256, 2, 32},
-                                {3, 7, 1, 14336, 256, 2, 32},
-                                {3, 8, 1, 14336, 256, 2, 32},
-                                {3, 1, 1, 14336, 512, 2, 60},
-                                {3, 2, 1, 14336, 512, 2, 56},
-                                {3, 3, 1, 14336, 512, 2, 64},
-                                {3, 4, 1, 14336, 512, 2, 56},
-                                {3, 5, 1, 14336, 512, 2, 56},
-                                {3, 6, 1, 14336, 512, 2, 58},
-                                {3, 7, 1, 14336, 512, 2, 62},
-                                {3, 8, 1, 14336, 512, 2, 62},
-                                {3, 1, 1, 14336, 1024, 2, 112},
-                                {3, 2, 1, 14336, 1024, 2, 112},
-                                {3, 3, 1, 14336, 1024, 2, 128},
-                                {3, 4, 1, 14336, 1024, 2, 96},
-                                {3, 5, 1, 14336, 1024, 2, 106},
-                                {3, 6, 1, 14336, 1024, 2, 92},
-                                {3, 7, 1, 14336, 1024, 2, 92},
-                                {3, 8, 1, 14336, 1024, 2, 72},
-                                {3, 1, 1, 14336, 2048, 2, 128},
-                                {3, 2, 1, 14336, 2048, 2, 128},
-                                {3, 3, 1, 14336, 2048, 2, 128},
-                                {3, 4, 1, 14336, 2048, 2, 112},
-                                {3, 5, 1, 14336, 2048, 2, 114},
-                                {3, 6, 1, 14336, 2048, 2, 96},
-                                {3, 7, 1, 14336, 2048, 2, 96},
-                                {3, 8, 1, 14336, 2048, 1, 96},
-                                {3, 1, 1, 14336, 3072, 2, 128},
-                                {3, 2, 1, 14336, 3072, 2, 128},
-                                {3, 3, 1, 14336, 3072, 2, 128},
-                                {3, 4, 1, 14336, 3072, 2, 120},
-                                {3, 5, 1, 14336, 3072, 2, 120},
-                                {3, 6, 1, 14336, 3072, 1, 126},
-                                {3, 7, 1, 14336, 3072, 2, 96},
-                                {3, 8, 1, 14336, 3072, 1, 96},
-                                {3, 1, 1, 14336, 4096, 2, 128},
-                                {3, 2, 1, 14336, 4096, 2, 128},
-                                {3, 3, 1, 14336, 4096, 2, 128},
-                                {3, 4, 1, 14336, 4096, 2, 128},
-                                {3, 5, 1, 14336, 4096, 2, 128},
-                                {3, 6, 1, 14336, 4096, 1, 128},
-                                {3, 7, 1, 14336, 4096, 1, 128},
-                                {3, 8, 1, 14336, 4096, 1, 96},
-                                {3, 1, 1, 14336, 5120, 2, 128},
-                                {3, 2, 1, 14336, 5120, 2, 128},
-                                {3, 3, 1, 14336, 5120, 2, 128},
-                                {3, 4, 1, 14336, 5120, 2, 120},
-                                {3, 5, 1, 14336, 5120, 2, 120},
-                                {3, 6, 1, 14336, 5120, 1, 126},
-                                {3, 7, 1, 14336, 5120, 1, 128},
-                                {3, 8, 1, 14336, 5120, 1, 96},
-                                {3, 1, 1, 14336, 8192, 2, 128},
-                                {3, 2, 1, 14336, 8192, 2, 128},
-                                {3, 3, 1, 14336, 8192, 2, 128},
-                                {3, 4, 1, 14336, 8192, 2, 128},
-                                {3, 5, 1, 14336, 8192, 2, 128},
-                                {3, 6, 1, 14336, 8192, 1, 128},
-                                {3, 7, 1, 14336, 8192, 1, 128},
-                                {3, 8, 1, 14336, 8192, 2, 128},
-                                {3, 1, 1, 14336, 12288, 2, 128},
-                                {3, 2, 1, 14336, 12288, 2, 128},
-                                {3, 3, 1, 14336, 12288, 2, 128},
-                                {3, 4, 1, 14336, 12288, 2, 128},
-                                {3, 5, 1, 14336, 12288, 2, 126},
-                                {3, 6, 1, 14336, 12288, 1, 128},
-                                {3, 7, 1, 14336, 12288, 1, 126},
-                                {3, 8, 1, 14336, 12288, 1, 96},
-                                {3, 1, 1, 14336, 14336, 2, 128},
-                                {3, 2, 1, 14336, 14336, 2, 128},
-                                {3, 3, 1, 14336, 14336, 2, 128},
-                                {3, 4, 1, 14336, 14336, 2, 122},
-                                {3, 5, 1, 14336, 14336, 2, 112},
-                                {3, 6, 1, 14336, 14336, 2, 110},
-                                {3, 7, 1, 14336, 14336, 1, 128},
-                                {3, 8, 1, 14336, 14336, 2, 112},
-                                {3, 1, 1, 14336, 16384, 2, 128},
-                                {3, 2, 1, 14336, 16384, 2, 128},
-                                {3, 3, 1, 14336, 16384, 2, 128},
-                                {3, 4, 1, 14336, 16384, 2, 128},
-                                {3, 5, 1, 14336, 16384, 2, 128},
-                                {3, 6, 1, 14336, 16384, 1, 128},
-                                {3, 7, 1, 14336, 16384, 1, 128},
-                                {3, 8, 1, 14336, 16384, 2, 128},
-                                {3, 1, 1, 14336, 24576, 2, 128},
-                                {3, 2, 1, 14336, 24576, 2, 128},
-                                {3, 3, 1, 14336, 24576, 2, 128},
-                                {3, 4, 1, 14336, 24576, 2, 128},
-                                {3, 5, 1, 14336, 24576, 2, 120},
-                                {3, 6, 1, 14336, 24576, 1, 128},
-                                {3, 7, 1, 14336, 24576, 2, 96},
-                                {3, 8, 1, 14336, 24576, 1, 96},
-                                {3, 1, 1, 14336, 51200, 2, 128},
-                                {3, 2, 1, 14336, 51200, 2, 128},
-                                {3, 3, 1, 14336, 51200, 2, 128},
-                                {3, 4, 1, 14336, 51200, 2, 120},
-                                {3, 5, 1, 14336, 51200, 2, 126},
-                                {3, 6, 1, 14336, 51200, 2, 128},
-                                {3, 7, 1, 14336, 51200, 2, 126},
-                                {3, 8, 1, 14336, 51200, 2, 124},
-                                {3, 1, 1, 14336, 128000, 2, 128},
-                                {3, 2, 1, 14336, 128000, 2, 128},
-                                {3, 3, 1, 14336, 128000, 2, 128},
-                                {3, 4, 1, 14336, 128000, 2, 128},
-                                {3, 5, 1, 14336, 128000, 2, 128},
-                                {3, 6, 1, 14336, 128000, 2, 120},
-                                {3, 7, 1, 14336, 128000, 2, 124},
-                                {3, 8, 1, 14336, 128000, 2, 116},
-                                {3, 1, 1, 16384, 128, 2, 16},
-                                {3, 2, 1, 16384, 128, 2, 16},
-                                {3, 3, 1, 16384, 128, 2, 16},
-                                {3, 4, 1, 16384, 128, 2, 14},
-                                {3, 5, 1, 16384, 128, 2, 16},
-                                {3, 6, 1, 16384, 128, 2, 16},
-                                {3, 7, 1, 16384, 128, 2, 18},
-                                {3, 8, 1, 16384, 128, 2, 16},
-                                {3, 1, 1, 16384, 256, 2, 32},
-                                {3, 2, 1, 16384, 256, 2, 32},
-                                {3, 3, 1, 16384, 256, 2, 38},
-                                {3, 4, 1, 16384, 256, 2, 32},
-                                {3, 5, 1, 16384, 256, 2, 32},
-                                {3, 6, 1, 16384, 256, 2, 32},
-                                {3, 7, 1, 16384, 256, 2, 38},
-                                {3, 8, 1, 16384, 256, 2, 32},
-                                {3, 1, 1, 16384, 512, 2, 62},
-                                {3, 2, 1, 16384, 512, 2, 62},
-                                {3, 3, 1, 16384, 512, 2, 64},
-                                {3, 4, 1, 16384, 512, 2, 56},
-                                {3, 5, 1, 16384, 512, 2, 64},
-                                {3, 6, 1, 16384, 512, 2, 64},
-                                {3, 7, 1, 16384, 512, 2, 64},
-                                {3, 8, 1, 16384, 512, 2, 66},
-                                {3, 1, 1, 16384, 1024, 2, 128},
-                                {3, 2, 1, 16384, 1024, 2, 104},
-                                {3, 3, 1, 16384, 1024, 2, 126},
-                                {3, 4, 1, 16384, 1024, 2, 96},
-                                {3, 5, 1, 16384, 1024, 2, 108},
-                                {3, 6, 1, 16384, 1024, 2, 96},
-                                {3, 7, 1, 16384, 1024, 2, 88},
-                                {3, 8, 1, 16384, 1024, 2, 80},
-                                {3, 1, 1, 16384, 2048, 2, 128},
-                                {3, 2, 1, 16384, 2048, 2, 128},
-                                {3, 3, 1, 16384, 2048, 2, 128},
-                                {3, 4, 1, 16384, 2048, 2, 128},
-                                {3, 5, 1, 16384, 2048, 2, 126},
-                                {3, 6, 1, 16384, 2048, 2, 96},
-                                {3, 7, 1, 16384, 2048, 1, 128},
-                                {3, 8, 1, 16384, 2048, 1, 96},
-                                {3, 1, 1, 16384, 3072, 2, 128},
-                                {3, 2, 1, 16384, 3072, 2, 128},
-                                {3, 3, 1, 16384, 3072, 2, 128},
-                                {3, 4, 1, 16384, 3072, 2, 128},
-                                {3, 5, 1, 16384, 3072, 2, 120},
-                                {3, 6, 1, 16384, 3072, 1, 128},
-                                {3, 7, 1, 16384, 3072, 2, 96},
-                                {3, 8, 1, 16384, 3072, 1, 96},
-                                {3, 1, 1, 16384, 4096, 2, 128},
-                                {3, 2, 1, 16384, 4096, 2, 128},
-                                {3, 3, 1, 16384, 4096, 2, 128},
-                                {3, 4, 1, 16384, 4096, 2, 128},
-                                {3, 5, 1, 16384, 4096, 2, 128},
-                                {3, 6, 1, 16384, 4096, 1, 124},
-                                {3, 7, 1, 16384, 4096, 1, 128},
-                                {3, 8, 1, 16384, 4096, 1, 96},
-                                {3, 1, 1, 16384, 5120, 2, 128},
-                                {3, 2, 1, 16384, 5120, 2, 128},
-                                {3, 3, 1, 16384, 5120, 2, 128},
-                                {3, 4, 1, 16384, 5120, 2, 120},
-                                {3, 5, 1, 16384, 5120, 2, 120},
-                                {3, 6, 1, 16384, 5120, 1, 120},
-                                {3, 7, 1, 16384, 5120, 1, 128},
-                                {3, 8, 1, 16384, 5120, 1, 96},
-                                {3, 1, 1, 16384, 8192, 2, 128},
-                                {3, 2, 1, 16384, 8192, 2, 128},
-                                {3, 3, 1, 16384, 8192, 2, 128},
-                                {3, 4, 1, 16384, 8192, 2, 128},
-                                {3, 5, 1, 16384, 8192, 2, 128},
-                                {3, 6, 1, 16384, 8192, 1, 128},
-                                {3, 7, 1, 16384, 8192, 1, 128},
-                                {3, 8, 1, 16384, 8192, 2, 128},
-                                {3, 1, 1, 16384, 12288, 2, 128},
-                                {3, 2, 1, 16384, 12288, 2, 128},
-                                {3, 3, 1, 16384, 12288, 2, 128},
-                                {3, 4, 1, 16384, 12288, 2, 120},
-                                {3, 5, 1, 16384, 12288, 2, 126},
-                                {3, 6, 1, 16384, 12288, 1, 128},
-                                {3, 7, 1, 16384, 12288, 2, 96},
-                                {3, 8, 1, 16384, 12288, 1, 96},
-                                {3, 1, 1, 16384, 14336, 2, 128},
-                                {3, 2, 1, 16384, 14336, 2, 128},
-                                {3, 3, 1, 16384, 14336, 2, 128},
-                                {3, 4, 1, 16384, 14336, 2, 124},
-                                {3, 5, 1, 16384, 14336, 2, 112},
-                                {3, 6, 1, 16384, 14336, 2, 110},
-                                {3, 7, 1, 16384, 14336, 1, 128},
-                                {3, 8, 1, 16384, 14336, 2, 112},
-                                {3, 1, 1, 16384, 16384, 2, 128},
-                                {3, 2, 1, 16384, 16384, 2, 128},
-                                {3, 3, 1, 16384, 16384, 2, 128},
-                                {3, 4, 1, 16384, 16384, 2, 128},
-                                {3, 5, 1, 16384, 16384, 2, 128},
-                                {3, 6, 1, 16384, 16384, 1, 128},
-                                {3, 7, 1, 16384, 16384, 1, 128},
-                                {3, 8, 1, 16384, 16384, 2, 128},
-                                {3, 1, 1, 16384, 24576, 2, 128},
-                                {3, 2, 1, 16384, 24576, 2, 128},
-                                {3, 3, 1, 16384, 24576, 2, 128},
-                                {3, 4, 1, 16384, 24576, 2, 128},
-                                {3, 5, 1, 16384, 24576, 2, 120},
-                                {3, 6, 1, 16384, 24576, 1, 128},
-                                {3, 7, 1, 16384, 24576, 2, 96},
-                                {3, 8, 1, 16384, 24576, 1, 96},
-                                {3, 1, 1, 16384, 51200, 2, 128},
-                                {3, 2, 1, 16384, 51200, 2, 128},
-                                {3, 3, 1, 16384, 51200, 2, 128},
-                                {3, 4, 1, 16384, 51200, 2, 120},
-                                {3, 5, 1, 16384, 51200, 2, 126},
-                                {3, 6, 1, 16384, 51200, 2, 128},
-                                {3, 7, 1, 16384, 51200, 2, 126},
-                                {3, 8, 1, 16384, 51200, 2, 126},
-                                {3, 1, 1, 16384, 128000, 2, 128},
-                                {3, 2, 1, 16384, 128000, 2, 128},
-                                {3, 3, 1, 16384, 128000, 2, 128},
-                                {3, 4, 1, 16384, 128000, 2, 126},
-                                {3, 5, 1, 16384, 128000, 2, 128},
-                                {3, 6, 1, 16384, 128000, 2, 122},
-                                {3, 7, 1, 16384, 128000, 2, 128},
-                                {3, 8, 1, 16384, 128000, 2, 116},
-                                {3, 1, 1, 24576, 128, 2, 18},
-                                {3, 2, 1, 24576, 128, 2, 18},
-                                {3, 3, 1, 24576, 128, 2, 22},
-                                {3, 4, 1, 24576, 128, 2, 18},
-                                {3, 5, 1, 24576, 128, 2, 22},
-                                {3, 6, 1, 24576, 128, 2, 22},
-                                {3, 7, 1, 24576, 128, 2, 22},
-                                {3, 8, 1, 24576, 128, 2, 22},
-                                {3, 1, 1, 24576, 256, 2, 36},
-                                {3, 2, 1, 24576, 256, 2, 36},
-                                {3, 3, 1, 24576, 256, 2, 44},
-                                {3, 4, 1, 24576, 256, 2, 36},
-                                {3, 5, 1, 24576, 256, 2, 42},
-                                {3, 6, 1, 24576, 256, 2, 40},
-                                {3, 7, 1, 24576, 256, 2, 44},
-                                {3, 8, 1, 24576, 256, 2, 44},
-                                {3, 1, 1, 24576, 512, 2, 72},
-                                {3, 2, 1, 24576, 512, 2, 72},
-                                {3, 3, 1, 24576, 512, 2, 84},
-                                {3, 4, 1, 24576, 512, 2, 72},
-                                {3, 5, 1, 24576, 512, 2, 84},
-                                {3, 6, 1, 24576, 512, 2, 80},
-                                {3, 7, 1, 24576, 512, 2, 84},
-                                {3, 8, 1, 24576, 512, 2, 72},
-                                {3, 1, 1, 24576, 1024, 2, 128},
-                                {3, 2, 1, 24576, 1024, 2, 126},
-                                {3, 3, 1, 24576, 1024, 2, 128},
-                                {3, 4, 1, 24576, 1024, 2, 112},
-                                {3, 5, 1, 24576, 1024, 2, 108},
-                                {3, 6, 1, 24576, 1024, 2, 96},
-                                {3, 7, 1, 24576, 1024, 2, 96},
-                                {3, 8, 1, 24576, 1024, 2, 80},
-                                {3, 1, 1, 24576, 2048, 2, 128},
-                                {3, 2, 1, 24576, 2048, 2, 128},
-                                {3, 3, 1, 24576, 2048, 2, 128},
-                                {3, 4, 1, 24576, 2048, 2, 128},
-                                {3, 5, 1, 24576, 2048, 2, 126},
-                                {3, 6, 1, 24576, 2048, 2, 96},
-                                {3, 7, 1, 24576, 2048, 2, 96},
-                                {3, 8, 1, 24576, 2048, 1, 96},
-                                {3, 1, 1, 24576, 3072, 2, 128},
-                                {3, 2, 1, 24576, 3072, 2, 128},
-                                {3, 3, 1, 24576, 3072, 2, 128},
-                                {3, 4, 1, 24576, 3072, 2, 128},
-                                {3, 5, 1, 24576, 3072, 2, 120},
-                                {3, 6, 1, 24576, 3072, 1, 128},
-                                {3, 7, 1, 24576, 3072, 2, 96},
-                                {3, 8, 1, 24576, 3072, 1, 96},
-                                {3, 1, 1, 24576, 4096, 2, 128},
-                                {3, 2, 1, 24576, 4096, 2, 128},
-                                {3, 3, 1, 24576, 4096, 2, 128},
-                                {3, 4, 1, 24576, 4096, 2, 128},
-                                {3, 5, 1, 24576, 4096, 2, 128},
-                                {3, 6, 1, 24576, 4096, 1, 128},
-                                {3, 7, 1, 24576, 4096, 1, 128},
-                                {3, 8, 1, 24576, 4096, 1, 96},
-                                {3, 1, 1, 24576, 5120, 2, 128},
-                                {3, 2, 1, 24576, 5120, 2, 128},
-                                {3, 3, 1, 24576, 5120, 2, 128},
-                                {3, 4, 1, 24576, 5120, 2, 120},
-                                {3, 5, 1, 24576, 5120, 2, 120},
-                                {3, 6, 1, 24576, 5120, 2, 120},
-                                {3, 7, 1, 24576, 5120, 2, 120},
-                                {3, 8, 1, 24576, 5120, 1, 96},
-                                {3, 1, 1, 24576, 8192, 2, 128},
-                                {3, 2, 1, 24576, 8192, 2, 128},
-                                {3, 3, 1, 24576, 8192, 2, 128},
-                                {3, 4, 1, 24576, 8192, 2, 128},
-                                {3, 5, 1, 24576, 8192, 2, 128},
-                                {3, 6, 1, 24576, 8192, 1, 128},
-                                {3, 7, 1, 24576, 8192, 1, 128},
-                                {3, 8, 1, 24576, 8192, 2, 128},
-                                {3, 1, 1, 24576, 12288, 2, 128},
-                                {3, 2, 1, 24576, 12288, 2, 128},
-                                {3, 3, 1, 24576, 12288, 2, 128},
-                                {3, 4, 1, 24576, 12288, 2, 128},
-                                {3, 5, 1, 24576, 12288, 2, 126},
-                                {3, 6, 1, 24576, 12288, 1, 128},
-                                {3, 7, 1, 24576, 12288, 2, 96},
-                                {3, 8, 1, 24576, 12288, 1, 96},
-                                {3, 1, 1, 24576, 14336, 2, 128},
-                                {3, 2, 1, 24576, 14336, 2, 128},
-                                {3, 3, 1, 24576, 14336, 2, 128},
-                                {3, 4, 1, 24576, 14336, 2, 124},
-                                {3, 5, 1, 24576, 14336, 2, 112},
-                                {3, 6, 1, 24576, 14336, 2, 118},
-                                {3, 7, 1, 24576, 14336, 1, 128},
-                                {3, 8, 1, 24576, 14336, 2, 112},
-                                {3, 1, 1, 24576, 16384, 2, 128},
-                                {3, 2, 1, 24576, 16384, 2, 128},
-                                {3, 3, 1, 24576, 16384, 2, 128},
-                                {3, 4, 1, 24576, 16384, 2, 128},
-                                {3, 5, 1, 24576, 16384, 2, 128},
-                                {3, 6, 1, 24576, 16384, 1, 128},
-                                {3, 7, 1, 24576, 16384, 1, 128},
-                                {3, 8, 1, 24576, 16384, 2, 128},
-                                {3, 1, 1, 24576, 24576, 2, 128},
-                                {3, 2, 1, 24576, 24576, 2, 128},
-                                {3, 3, 1, 24576, 24576, 2, 128},
-                                {3, 4, 1, 24576, 24576, 2, 128},
-                                {3, 5, 1, 24576, 24576, 2, 120},
-                                {3, 6, 1, 24576, 24576, 1, 128},
-                                {3, 7, 1, 24576, 24576, 2, 96},
-                                {3, 8, 1, 24576, 24576, 1, 96},
-                                {3, 1, 1, 24576, 51200, 2, 128},
-                                {3, 2, 1, 24576, 51200, 2, 128},
-                                {3, 3, 1, 24576, 51200, 2, 128},
-                                {3, 4, 1, 24576, 51200, 2, 120},
-                                {3, 5, 1, 24576, 51200, 2, 126},
-                                {3, 6, 1, 24576, 51200, 2, 128},
-                                {3, 7, 1, 24576, 51200, 2, 120},
-                                {3, 8, 1, 24576, 51200, 2, 120},
-                                {3, 1, 1, 24576, 128000, 2, 128},
-                                {3, 2, 1, 24576, 128000, 2, 128},
-                                {3, 3, 1, 24576, 128000, 2, 128},
-                                {3, 4, 1, 24576, 128000, 2, 126},
-                                {3, 5, 1, 24576, 128000, 2, 128},
-                                {3, 6, 1, 24576, 128000, 2, 128},
-                                {3, 7, 1, 24576, 128000, 2, 124},
-                                {3, 8, 1, 24576, 128000, 2, 126},
-                                {2, 1, 1, 128, 128, 1, 2},
-                                {2, 2, 1, 128, 128, 1, 2},
-                                {2, 3, 1, 128, 128, 1, 2},
-                                {2, 4, 1, 128, 128, 1, 2},
-                                {2, 5, 1, 128, 128, 1, 2},
-                                {2, 6, 1, 128, 128, 1, 2},
-                                {2, 7, 1, 128, 128, 1, 2},
-                                {2, 8, 1, 128, 128, 1, 2},
-                                {2, 1, 1, 128, 256, 1, 4},
-                                {2, 2, 1, 128, 256, 1, 4},
-                                {2, 3, 1, 128, 256, 1, 4},
-                                {2, 4, 1, 128, 256, 1, 4},
-                                {2, 5, 1, 128, 256, 1, 4},
-                                {2, 6, 1, 128, 256, 1, 4},
-                                {2, 7, 1, 128, 256, 1, 4},
-                                {2, 8, 1, 128, 256, 1, 4},
-                                {2, 1, 1, 128, 512, 1, 8},
-                                {2, 2, 1, 128, 512, 1, 8},
-                                {2, 3, 1, 128, 512, 1, 8},
-                                {2, 4, 1, 128, 512, 1, 8},
-                                {2, 5, 1, 128, 512, 1, 8},
-                                {2, 6, 1, 128, 512, 1, 8},
-                                {2, 7, 1, 128, 512, 1, 8},
-                                {2, 8, 1, 128, 512, 1, 8},
-                                {2, 1, 1, 128, 1024, 1, 16},
-                                {2, 2, 1, 128, 1024, 1, 16},
-                                {2, 3, 1, 128, 1024, 1, 16},
-                                {2, 4, 1, 128, 1024, 1, 16},
-                                {2, 5, 1, 128, 1024, 1, 16},
-                                {2, 6, 1, 128, 1024, 1, 16},
-                                {2, 7, 1, 128, 1024, 1, 16},
-                                {2, 8, 1, 128, 1024, 1, 16},
-                                {2, 1, 1, 128, 2048, 1, 32},
-                                {2, 2, 1, 128, 2048, 1, 32},
-                                {2, 3, 1, 128, 2048, 1, 32},
-                                {2, 4, 1, 128, 2048, 1, 32},
-                                {2, 5, 1, 128, 2048, 1, 32},
-                                {2, 6, 1, 128, 2048, 1, 32},
-                                {2, 7, 1, 128, 2048, 1, 32},
-                                {2, 8, 1, 128, 2048, 1, 32},
-                                {2, 1, 1, 128, 3072, 1, 48},
-                                {2, 2, 1, 128, 3072, 1, 48},
-                                {2, 3, 1, 128, 3072, 1, 48},
-                                {2, 4, 1, 128, 3072, 1, 48},
-                                {2, 5, 1, 128, 3072, 1, 48},
-                                {2, 6, 1, 128, 3072, 1, 48},
-                                {2, 7, 1, 128, 3072, 1, 48},
-                                {2, 8, 1, 128, 3072, 1, 48},
-                                {2, 1, 1, 128, 4096, 1, 64},
-                                {2, 2, 1, 128, 4096, 1, 64},
-                                {2, 3, 1, 128, 4096, 1, 64},
-                                {2, 4, 1, 128, 4096, 1, 64},
-                                {2, 5, 1, 128, 4096, 1, 64},
-                                {2, 6, 1, 128, 4096, 1, 64},
-                                {2, 7, 1, 128, 4096, 1, 64},
-                                {2, 8, 1, 128, 4096, 1, 64},
-                                {2, 1, 1, 128, 5120, 1, 80},
-                                {2, 2, 1, 128, 5120, 1, 80},
-                                {2, 3, 1, 128, 5120, 1, 80},
-                                {2, 4, 1, 128, 5120, 1, 80},
-                                {2, 5, 1, 128, 5120, 1, 80},
-                                {2, 6, 1, 128, 5120, 1, 80},
-                                {2, 7, 1, 128, 5120, 1, 64},
-                                {2, 8, 1, 128, 5120, 1, 80},
-                                {2, 1, 1, 128, 8192, 1, 64},
-                                {2, 2, 1, 128, 8192, 1, 64},
-                                {2, 3, 1, 128, 8192, 1, 64},
-                                {2, 4, 1, 128, 8192, 1, 64},
-                                {2, 5, 1, 128, 8192, 1, 64},
-                                {2, 6, 1, 128, 8192, 1, 64},
-                                {2, 7, 1, 128, 8192, 1, 64},
-                                {2, 8, 1, 128, 8192, 1, 64},
-                                {2, 1, 1, 128, 12288, 1, 84},
-                                {2, 2, 1, 128, 12288, 1, 84},
-                                {2, 3, 1, 128, 12288, 1, 84},
-                                {2, 4, 1, 128, 12288, 1, 84},
-                                {2, 5, 1, 128, 12288, 1, 84},
-                                {2, 6, 1, 128, 12288, 1, 84},
-                                {2, 7, 1, 128, 12288, 1, 84},
-                                {2, 8, 1, 128, 12288, 1, 80},
-                                {2, 1, 1, 128, 14336, 2, 84},
-                                {2, 2, 1, 128, 14336, 1, 84},
-                                {2, 3, 1, 128, 14336, 1, 84},
-                                {2, 4, 1, 128, 14336, 1, 84},
-                                {2, 5, 1, 128, 14336, 1, 84},
-                                {2, 6, 1, 128, 14336, 1, 84},
-                                {2, 7, 1, 128, 14336, 1, 84},
-                                {2, 8, 1, 128, 14336, 1, 84},
-                                {2, 1, 1, 128, 16384, 2, 64},
-                                {2, 2, 1, 128, 16384, 2, 64},
-                                {2, 3, 1, 128, 16384, 1, 84},
-                                {2, 4, 1, 128, 16384, 2, 64},
-                                {2, 5, 1, 128, 16384, 1, 82},
-                                {2, 6, 1, 128, 16384, 1, 84},
-                                {2, 7, 1, 128, 16384, 1, 84},
-                                {2, 8, 1, 128, 16384, 1, 64},
-                                {2, 1, 1, 128, 24576, 2, 84},
-                                {2, 2, 1, 128, 24576, 2, 84},
-                                {2, 3, 1, 128, 24576, 1, 82},
-                                {2, 4, 1, 128, 24576, 2, 84},
-                                {2, 5, 1, 128, 24576, 2, 84},
-                                {2, 6, 1, 128, 24576, 2, 84},
-                                {2, 7, 1, 128, 24576, 2, 84},
-                                {2, 8, 1, 128, 24576, 2, 84},
-                                {2, 1, 1, 128, 51200, 2, 80},
-                                {2, 2, 1, 128, 51200, 2, 80},
-                                {2, 3, 1, 128, 51200, 2, 80},
-                                {2, 4, 1, 128, 51200, 2, 80},
-                                {2, 5, 1, 128, 51200, 2, 80},
-                                {2, 6, 1, 128, 51200, 2, 80},
-                                {2, 7, 1, 128, 51200, 2, 80},
-                                {2, 8, 1, 128, 51200, 2, 80},
-                                {2, 1, 1, 128, 128000, 2, 84},
-                                {2, 2, 1, 128, 128000, 2, 84},
-                                {2, 3, 1, 128, 128000, 2, 84},
-                                {2, 4, 1, 128, 128000, 2, 84},
-                                {2, 5, 1, 128, 128000, 2, 84},
-                                {2, 6, 1, 128, 128000, 2, 84},
-                                {2, 7, 1, 128, 128000, 2, 84},
-                                {2, 8, 1, 128, 128000, 2, 84},
-                                {2, 1, 1, 256, 128, 2, 2},
-                                {2, 2, 1, 256, 128, 2, 2},
-                                {2, 3, 1, 256, 128, 2, 2},
-                                {2, 4, 1, 256, 128, 2, 2},
-                                {2, 5, 1, 256, 128, 2, 2},
-                                {2, 6, 1, 256, 128, 2, 2},
-                                {2, 7, 1, 256, 128, 2, 2},
-                                {2, 8, 1, 256, 128, 2, 2},
-                                {2, 1, 1, 256, 256, 2, 4},
-                                {2, 2, 1, 256, 256, 2, 4},
-                                {2, 3, 1, 256, 256, 2, 4},
-                                {2, 4, 1, 256, 256, 2, 4},
-                                {2, 5, 1, 256, 256, 2, 4},
-                                {2, 6, 1, 256, 256, 2, 4},
-                                {2, 7, 1, 256, 256, 2, 4},
-                                {2, 8, 1, 256, 256, 2, 4},
-                                {2, 1, 1, 256, 512, 2, 8},
-                                {2, 2, 1, 256, 512, 2, 8},
-                                {2, 3, 1, 256, 512, 2, 8},
-                                {2, 4, 1, 256, 512, 2, 8},
-                                {2, 5, 1, 256, 512, 2, 8},
-                                {2, 6, 1, 256, 512, 2, 8},
-                                {2, 7, 1, 256, 512, 2, 8},
-                                {2, 8, 1, 256, 512, 2, 8},
-                                {2, 1, 1, 256, 1024, 2, 16},
-                                {2, 2, 1, 256, 1024, 2, 16},
-                                {2, 3, 1, 256, 1024, 2, 16},
-                                {2, 4, 1, 256, 1024, 2, 16},
-                                {2, 5, 1, 256, 1024, 1, 16},
-                                {2, 6, 1, 256, 1024, 2, 16},
-                                {2, 7, 1, 256, 1024, 1, 16},
-                                {2, 8, 1, 256, 1024, 1, 16},
-                                {2, 1, 1, 256, 2048, 2, 32},
-                                {2, 2, 1, 256, 2048, 2, 32},
-                                {2, 3, 1, 256, 2048, 1, 32},
-                                {2, 4, 1, 256, 2048, 1, 32},
-                                {2, 5, 1, 256, 2048, 1, 32},
-                                {2, 6, 1, 256, 2048, 1, 32},
-                                {2, 7, 1, 256, 2048, 1, 32},
-                                {2, 8, 1, 256, 2048, 1, 32},
-                                {2, 1, 1, 256, 3072, 2, 48},
-                                {2, 2, 1, 256, 3072, 1, 48},
-                                {2, 3, 1, 256, 3072, 1, 48},
-                                {2, 4, 1, 256, 3072, 1, 48},
-                                {2, 5, 1, 256, 3072, 1, 48},
-                                {2, 6, 1, 256, 3072, 1, 48},
-                                {2, 7, 1, 256, 3072, 1, 48},
-                                {2, 8, 1, 256, 3072, 1, 48},
-                                {2, 1, 1, 256, 4096, 2, 64},
-                                {2, 2, 1, 256, 4096, 1, 64},
-                                {2, 3, 1, 256, 4096, 1, 64},
-                                {2, 4, 1, 256, 4096, 1, 64},
-                                {2, 5, 1, 256, 4096, 1, 64},
-                                {2, 6, 1, 256, 4096, 1, 64},
-                                {2, 7, 1, 256, 4096, 1, 64},
-                                {2, 8, 1, 256, 4096, 1, 64},
-                                {2, 1, 1, 256, 5120, 1, 80},
-                                {2, 2, 1, 256, 5120, 1, 80},
-                                {2, 3, 1, 256, 5120, 1, 80},
-                                {2, 4, 1, 256, 5120, 1, 80},
-                                {2, 5, 1, 256, 5120, 1, 80},
-                                {2, 6, 1, 256, 5120, 1, 80},
-                                {2, 7, 1, 256, 5120, 1, 80},
-                                {2, 8, 1, 256, 5120, 1, 80},
-                                {2, 1, 1, 256, 8192, 2, 64},
-                                {2, 2, 1, 256, 8192, 2, 64},
-                                {2, 3, 1, 256, 8192, 1, 84},
-                                {2, 4, 1, 256, 8192, 2, 64},
-                                {2, 5, 1, 256, 8192, 1, 84},
-                                {2, 6, 1, 256, 8192, 1, 84},
-                                {2, 7, 1, 256, 8192, 1, 84},
-                                {2, 8, 1, 256, 8192, 1, 84},
-                                {2, 1, 1, 256, 12288, 2, 84},
-                                {2, 2, 1, 256, 12288, 2, 84},
-                                {2, 3, 1, 256, 12288, 1, 84},
-                                {2, 4, 1, 256, 12288, 2, 84},
-                                {2, 5, 1, 256, 12288, 1, 84},
-                                {2, 6, 1, 256, 12288, 1, 84},
-                                {2, 7, 1, 256, 12288, 2, 84},
-                                {2, 8, 1, 256, 12288, 1, 84},
-                                {2, 1, 1, 256, 14336, 2, 84},
-                                {2, 2, 1, 256, 14336, 2, 84},
-                                {2, 3, 1, 256, 14336, 1, 84},
-                                {2, 4, 1, 256, 14336, 2, 84},
-                                {2, 5, 1, 256, 14336, 2, 84},
-                                {2, 6, 1, 256, 14336, 2, 84},
-                                {2, 7, 1, 256, 14336, 2, 84},
-                                {2, 8, 1, 256, 14336, 1, 84},
-                                {2, 1, 1, 256, 16384, 2, 82},
-                                {2, 2, 1, 256, 16384, 2, 82},
-                                {2, 3, 1, 256, 16384, 1, 82},
-                                {2, 4, 1, 256, 16384, 2, 84},
-                                {2, 5, 1, 256, 16384, 2, 84},
-                                {2, 6, 1, 256, 16384, 2, 84},
-                                {2, 7, 1, 256, 16384, 2, 84},
-                                {2, 8, 1, 256, 16384, 1, 84},
-                                {2, 1, 1, 256, 24576, 2, 84},
-                                {2, 2, 1, 256, 24576, 2, 82},
-                                {2, 3, 1, 256, 24576, 2, 82},
-                                {2, 4, 1, 256, 24576, 2, 82},
-                                {2, 5, 1, 256, 24576, 2, 82},
-                                {2, 6, 1, 256, 24576, 2, 82},
-                                {2, 7, 1, 256, 24576, 2, 82},
-                                {2, 8, 1, 256, 24576, 2, 82},
-                                {2, 1, 1, 256, 51200, 2, 80},
-                                {2, 2, 1, 256, 51200, 2, 80},
-                                {2, 3, 1, 256, 51200, 2, 80},
-                                {2, 4, 1, 256, 51200, 2, 80},
-                                {2, 5, 1, 256, 51200, 2, 80},
-                                {2, 6, 1, 256, 51200, 2, 80},
-                                {2, 7, 1, 256, 51200, 2, 80},
-                                {2, 8, 1, 256, 51200, 2, 80},
-                                {2, 1, 1, 256, 128000, 2, 84},
-                                {2, 2, 1, 256, 128000, 2, 84},
-                                {2, 3, 1, 256, 128000, 2, 84},
-                                {2, 4, 1, 256, 128000, 2, 84},
-                                {2, 5, 1, 256, 128000, 2, 84},
-                                {2, 6, 1, 256, 128000, 2, 84},
-                                {2, 7, 1, 256, 128000, 2, 84},
-                                {2, 8, 1, 256, 128000, 2, 84},
-                                {2, 1, 1, 512, 128, 2, 2},
-                                {2, 2, 1, 512, 128, 2, 2},
-                                {2, 3, 1, 512, 128, 2, 4},
-                                {2, 4, 1, 512, 128, 2, 2},
-                                {2, 5, 1, 512, 128, 2, 4},
-                                {2, 6, 1, 512, 128, 2, 4},
-                                {2, 7, 1, 512, 128, 2, 4},
-                                {2, 8, 1, 512, 128, 2, 4},
-                                {2, 1, 1, 512, 256, 2, 4},
-                                {2, 2, 1, 512, 256, 2, 4},
-                                {2, 3, 1, 512, 256, 2, 8},
-                                {2, 4, 1, 512, 256, 2, 4},
-                                {2, 5, 1, 512, 256, 2, 8},
-                                {2, 6, 1, 512, 256, 2, 8},
-                                {2, 7, 1, 512, 256, 2, 8},
-                                {2, 8, 1, 512, 256, 2, 8},
-                                {2, 1, 1, 512, 512, 2, 8},
-                                {2, 2, 1, 512, 512, 2, 16},
-                                {2, 3, 1, 512, 512, 2, 16},
-                                {2, 4, 1, 512, 512, 2, 8},
-                                {2, 5, 1, 512, 512, 2, 16},
-                                {2, 6, 1, 512, 512, 1, 16},
-                                {2, 7, 1, 512, 512, 1, 16},
-                                {2, 8, 1, 512, 512, 1, 16},
-                                {2, 1, 1, 512, 1024, 2, 24},
-                                {2, 2, 1, 512, 1024, 2, 16},
-                                {2, 3, 1, 512, 1024, 1, 24},
-                                {2, 4, 1, 512, 1024, 1, 24},
-                                {2, 5, 1, 512, 1024, 1, 24},
-                                {2, 6, 1, 512, 1024, 1, 32},
-                                {2, 7, 1, 512, 1024, 1, 32},
-                                {2, 8, 1, 512, 1024, 1, 32},
-                                {2, 1, 1, 512, 2048, 2, 32},
-                                {2, 2, 1, 512, 2048, 1, 48},
-                                {2, 3, 1, 512, 2048, 1, 64},
-                                {2, 4, 1, 512, 2048, 1, 48},
-                                {2, 5, 1, 512, 2048, 1, 64},
-                                {2, 6, 1, 512, 2048, 1, 64},
-                                {2, 7, 1, 512, 2048, 1, 64},
-                                {2, 8, 1, 512, 2048, 1, 64},
-                                {2, 1, 1, 512, 3072, 2, 48},
-                                {2, 2, 1, 512, 3072, 1, 72},
-                                {2, 3, 1, 512, 3072, 1, 72},
-                                {2, 4, 1, 512, 3072, 1, 72},
-                                {2, 5, 1, 512, 3072, 1, 72},
-                                {2, 6, 1, 512, 3072, 1, 72},
-                                {2, 7, 1, 512, 3072, 1, 72},
-                                {2, 8, 1, 512, 3072, 1, 72},
-                                {2, 1, 1, 512, 4096, 2, 64},
-                                {2, 2, 1, 512, 4096, 2, 64},
-                                {2, 3, 1, 512, 4096, 1, 84},
-                                {2, 4, 1, 512, 4096, 2, 64},
-                                {2, 5, 1, 512, 4096, 1, 84},
-                                {2, 6, 1, 512, 4096, 1, 84},
-                                {2, 7, 1, 512, 4096, 1, 84},
-                                {2, 8, 1, 512, 4096, 1, 84},
-                                {2, 1, 1, 512, 5120, 2, 80},
-                                {2, 2, 1, 512, 5120, 2, 80},
-                                {2, 3, 1, 512, 5120, 1, 80},
-                                {2, 4, 1, 512, 5120, 2, 80},
-                                {2, 5, 1, 512, 5120, 1, 80},
-                                {2, 6, 1, 512, 5120, 1, 80},
-                                {2, 7, 1, 512, 5120, 2, 80},
-                                {2, 8, 1, 512, 5120, 1, 80},
-                                {2, 1, 1, 512, 8192, 2, 84},
-                                {2, 2, 1, 512, 8192, 2, 84},
-                                {2, 3, 1, 512, 8192, 1, 84},
-                                {2, 4, 1, 512, 8192, 2, 84},
-                                {2, 5, 1, 512, 8192, 2, 84},
-                                {2, 6, 1, 512, 8192, 2, 84},
-                                {2, 7, 1, 512, 8192, 2, 84},
-                                {2, 8, 1, 512, 8192, 2, 84},
-                                {2, 1, 1, 512, 12288, 2, 84},
-                                {2, 2, 1, 512, 12288, 2, 84},
-                                {2, 3, 1, 512, 12288, 2, 84},
-                                {2, 4, 1, 512, 12288, 2, 84},
-                                {2, 5, 1, 512, 12288, 2, 84},
-                                {2, 6, 1, 512, 12288, 2, 84},
-                                {2, 7, 1, 512, 12288, 2, 84},
-                                {2, 8, 1, 512, 12288, 2, 84},
-                                {2, 1, 1, 512, 14336, 2, 84},
-                                {2, 2, 1, 512, 14336, 2, 84},
-                                {2, 3, 1, 512, 14336, 2, 84},
-                                {2, 4, 1, 512, 14336, 2, 84},
-                                {2, 5, 1, 512, 14336, 2, 84},
-                                {2, 6, 1, 512, 14336, 2, 84},
-                                {2, 7, 1, 512, 14336, 2, 84},
-                                {2, 8, 1, 512, 14336, 2, 84},
-                                {2, 1, 1, 512, 16384, 2, 84},
-                                {2, 2, 1, 512, 16384, 2, 82},
-                                {2, 3, 1, 512, 16384, 2, 84},
-                                {2, 4, 1, 512, 16384, 2, 84},
-                                {2, 5, 1, 512, 16384, 2, 84},
-                                {2, 6, 1, 512, 16384, 2, 84},
-                                {2, 7, 1, 512, 16384, 2, 84},
-                                {2, 8, 1, 512, 16384, 2, 84},
-                                {2, 1, 1, 512, 24576, 2, 84},
-                                {2, 2, 1, 512, 24576, 2, 84},
-                                {2, 3, 1, 512, 24576, 2, 84},
-                                {2, 4, 1, 512, 24576, 2, 84},
-                                {2, 5, 1, 512, 24576, 2, 84},
-                                {2, 6, 1, 512, 24576, 2, 84},
-                                {2, 7, 1, 512, 24576, 2, 84},
-                                {2, 8, 1, 512, 24576, 2, 84},
-                                {2, 1, 1, 512, 51200, 2, 84},
-                                {2, 2, 1, 512, 51200, 2, 84},
-                                {2, 3, 1, 512, 51200, 2, 84},
-                                {2, 4, 1, 512, 51200, 2, 84},
-                                {2, 5, 1, 512, 51200, 2, 84},
-                                {2, 6, 1, 512, 51200, 2, 84},
-                                {2, 7, 1, 512, 51200, 2, 84},
-                                {2, 8, 1, 512, 51200, 2, 84},
-                                {2, 1, 1, 512, 128000, 2, 84},
-                                {2, 2, 1, 512, 128000, 2, 84},
-                                {2, 3, 1, 512, 128000, 2, 84},
-                                {2, 4, 1, 512, 128000, 2, 84},
-                                {2, 5, 1, 512, 128000, 2, 84},
-                                {2, 6, 1, 512, 128000, 2, 84},
-                                {2, 7, 1, 512, 128000, 2, 84},
-                                {2, 8, 1, 512, 128000, 2, 84},
-                                {2, 1, 1, 1024, 128, 2, 4},
-                                {2, 2, 1, 1024, 128, 2, 4},
-                                {2, 3, 1, 1024, 128, 2, 4},
-                                {2, 4, 1, 1024, 128, 2, 4},
-                                {2, 5, 1, 1024, 128, 2, 4},
-                                {2, 6, 1, 1024, 128, 2, 4},
-                                {2, 7, 1, 1024, 128, 2, 4},
-                                {2, 8, 1, 1024, 128, 2, 4},
-                                {2, 1, 1, 1024, 256, 2, 8},
-                                {2, 2, 1, 1024, 256, 2, 8},
-                                {2, 3, 1, 1024, 256, 2, 8},
-                                {2, 4, 1, 1024, 256, 2, 8},
-                                {2, 5, 1, 1024, 256, 2, 8},
-                                {2, 6, 1, 1024, 256, 2, 8},
-                                {2, 7, 1, 1024, 256, 2, 8},
-                                {2, 8, 1, 1024, 256, 2, 8},
-                                {2, 1, 1, 1024, 512, 2, 16},
-                                {2, 2, 1, 1024, 512, 2, 16},
-                                {2, 3, 1, 1024, 512, 2, 16},
-                                {2, 4, 1, 1024, 512, 2, 16},
-                                {2, 5, 1, 1024, 512, 2, 16},
-                                {2, 6, 1, 1024, 512, 2, 16},
-                                {2, 7, 1, 1024, 512, 2, 16},
-                                {2, 8, 1, 1024, 512, 2, 16},
-                                {2, 1, 1, 1024, 1024, 2, 32},
-                                {2, 2, 1, 1024, 1024, 2, 32},
-                                {2, 3, 1, 1024, 1024, 2, 32},
-                                {2, 4, 1, 1024, 1024, 2, 32},
-                                {2, 5, 1, 1024, 1024, 2, 32},
-                                {2, 6, 1, 1024, 1024, 2, 32},
-                                {2, 7, 1, 1024, 1024, 2, 32},
-                                {2, 8, 1, 1024, 1024, 2, 32},
-                                {2, 1, 1, 1024, 2048, 2, 64},
-                                {2, 2, 1, 1024, 2048, 2, 64},
-                                {2, 3, 1, 1024, 2048, 1, 64},
-                                {2, 4, 1, 1024, 2048, 2, 64},
-                                {2, 5, 1, 1024, 2048, 2, 64},
-                                {2, 6, 1, 1024, 2048, 2, 64},
-                                {2, 7, 1, 1024, 2048, 2, 64},
-                                {2, 8, 1, 1024, 2048, 1, 80},
-                                {2, 1, 1, 1024, 3072, 2, 72},
-                                {2, 2, 1, 1024, 3072, 2, 72},
-                                {2, 3, 1, 1024, 3072, 2, 72},
-                                {2, 4, 1, 1024, 3072, 2, 72},
-                                {2, 5, 1, 1024, 3072, 2, 72},
-                                {2, 6, 1, 1024, 3072, 2, 72},
-                                {2, 7, 1, 1024, 3072, 2, 72},
-                                {2, 8, 1, 1024, 3072, 2, 82},
-                                {2, 1, 1, 1024, 4096, 2, 84},
-                                {2, 2, 1, 1024, 4096, 2, 84},
-                                {2, 3, 1, 1024, 4096, 2, 84},
-                                {2, 4, 1, 1024, 4096, 2, 84},
-                                {2, 5, 1, 1024, 4096, 2, 84},
-                                {2, 6, 1, 1024, 4096, 2, 84},
-                                {2, 7, 1, 1024, 4096, 2, 84},
-                                {2, 8, 1, 1024, 4096, 2, 84},
-                                {2, 1, 1, 1024, 5120, 2, 80},
-                                {2, 2, 1, 1024, 5120, 2, 80},
-                                {2, 3, 1, 1024, 5120, 2, 80},
-                                {2, 4, 1, 1024, 5120, 2, 80},
-                                {2, 5, 1, 1024, 5120, 2, 80},
-                                {2, 6, 1, 1024, 5120, 2, 80},
-                                {2, 7, 1, 1024, 5120, 2, 80},
-                                {2, 8, 1, 1024, 5120, 2, 80},
-                                {2, 1, 1, 1024, 8192, 2, 84},
-                                {2, 2, 1, 1024, 8192, 2, 84},
-                                {2, 3, 1, 1024, 8192, 2, 84},
-                                {2, 4, 1, 1024, 8192, 2, 82},
-                                {2, 5, 1, 1024, 8192, 2, 84},
-                                {2, 6, 1, 1024, 8192, 2, 84},
-                                {2, 7, 1, 1024, 8192, 2, 84},
-                                {2, 8, 1, 1024, 8192, 2, 84},
-                                {2, 1, 1, 1024, 12288, 2, 84},
-                                {2, 2, 1, 1024, 12288, 2, 84},
-                                {2, 3, 1, 1024, 12288, 2, 84},
-                                {2, 4, 1, 1024, 12288, 2, 84},
-                                {2, 5, 1, 1024, 12288, 2, 84},
-                                {2, 6, 1, 1024, 12288, 2, 84},
-                                {2, 7, 1, 1024, 12288, 2, 84},
-                                {2, 8, 1, 1024, 12288, 2, 84},
-                                {2, 1, 1, 1024, 14336, 2, 84},
-                                {2, 2, 1, 1024, 14336, 2, 84},
-                                {2, 3, 1, 1024, 14336, 2, 84},
-                                {2, 4, 1, 1024, 14336, 2, 84},
-                                {2, 5, 1, 1024, 14336, 2, 84},
-                                {2, 6, 1, 1024, 14336, 2, 84},
-                                {2, 7, 1, 1024, 14336, 2, 84},
-                                {2, 8, 1, 1024, 14336, 2, 84},
-                                {2, 1, 1, 1024, 16384, 2, 84},
-                                {2, 2, 1, 1024, 16384, 2, 84},
-                                {2, 3, 1, 1024, 16384, 2, 84},
-                                {2, 4, 1, 1024, 16384, 2, 84},
-                                {2, 5, 1, 1024, 16384, 2, 84},
-                                {2, 6, 1, 1024, 16384, 2, 84},
-                                {2, 7, 1, 1024, 16384, 2, 84},
-                                {2, 8, 1, 1024, 16384, 2, 84},
-                                {2, 1, 1, 1024, 24576, 2, 84},
-                                {2, 2, 1, 1024, 24576, 2, 84},
-                                {2, 3, 1, 1024, 24576, 2, 84},
-                                {2, 4, 1, 1024, 24576, 2, 84},
-                                {2, 5, 1, 1024, 24576, 2, 84},
-                                {2, 6, 1, 1024, 24576, 2, 84},
-                                {2, 7, 1, 1024, 24576, 2, 84},
-                                {2, 8, 1, 1024, 24576, 2, 84},
-                                {2, 1, 1, 1024, 51200, 2, 84},
-                                {2, 2, 1, 1024, 51200, 2, 84},
-                                {2, 3, 1, 1024, 51200, 2, 84},
-                                {2, 4, 1, 1024, 51200, 2, 84},
-                                {2, 5, 1, 1024, 51200, 2, 84},
-                                {2, 6, 1, 1024, 51200, 2, 84},
-                                {2, 7, 1, 1024, 51200, 2, 84},
-                                {2, 8, 1, 1024, 51200, 2, 84},
-                                {2, 1, 1, 1024, 128000, 2, 84},
-                                {2, 2, 1, 1024, 128000, 2, 84},
-                                {2, 3, 1, 1024, 128000, 2, 84},
-                                {2, 4, 1, 1024, 128000, 2, 84},
-                                {2, 5, 1, 1024, 128000, 2, 84},
-                                {2, 6, 1, 1024, 128000, 2, 84},
-                                {2, 7, 1, 1024, 128000, 2, 84},
-                                {2, 8, 1, 1024, 128000, 2, 84},
-                                {2, 1, 1, 2048, 128, 2, 6},
-                                {2, 2, 1, 2048, 128, 2, 6},
-                                {2, 3, 1, 2048, 128, 2, 6},
-                                {2, 4, 1, 2048, 128, 2, 6},
-                                {2, 5, 1, 2048, 128, 2, 6},
-                                {2, 6, 1, 2048, 128, 2, 6},
-                                {2, 7, 1, 2048, 128, 2, 8},
-                                {2, 8, 1, 2048, 128, 2, 6},
-                                {2, 1, 1, 2048, 256, 2, 10},
-                                {2, 2, 1, 2048, 256, 2, 10},
-                                {2, 3, 1, 2048, 256, 2, 12},
-                                {2, 4, 1, 2048, 256, 2, 10},
-                                {2, 5, 1, 2048, 256, 2, 12},
-                                {2, 6, 1, 2048, 256, 2, 12},
-                                {2, 7, 1, 2048, 256, 2, 12},
-                                {2, 8, 1, 2048, 256, 2, 12},
-                                {2, 1, 1, 2048, 512, 2, 20},
-                                {2, 2, 1, 2048, 512, 2, 20},
-                                {2, 3, 1, 2048, 512, 2, 26},
-                                {2, 4, 1, 2048, 512, 2, 20},
-                                {2, 5, 1, 2048, 512, 2, 24},
-                                {2, 6, 1, 2048, 512, 2, 24},
-                                {2, 7, 1, 2048, 512, 2, 24},
-                                {2, 8, 1, 2048, 512, 2, 26},
-                                {2, 1, 1, 2048, 1024, 2, 40},
-                                {2, 2, 1, 2048, 1024, 2, 40},
-                                {2, 3, 1, 2048, 1024, 2, 52},
-                                {2, 4, 1, 2048, 1024, 2, 40},
-                                {2, 5, 1, 2048, 1024, 2, 40},
-                                {2, 6, 1, 2048, 1024, 2, 40},
-                                {2, 7, 1, 2048, 1024, 2, 48},
-                                {2, 8, 1, 2048, 1024, 2, 48},
-                                {2, 1, 1, 2048, 2048, 2, 80},
-                                {2, 2, 1, 2048, 2048, 2, 80},
-                                {2, 3, 1, 2048, 2048, 2, 80},
-                                {2, 4, 1, 2048, 2048, 2, 80},
-                                {2, 5, 1, 2048, 2048, 2, 80},
-                                {2, 6, 1, 2048, 2048, 2, 80},
-                                {2, 7, 1, 2048, 2048, 2, 84},
-                                {2, 8, 1, 2048, 2048, 2, 80},
-                                {2, 1, 1, 2048, 3072, 2, 78},
-                                {2, 2, 1, 2048, 3072, 2, 84},
-                                {2, 3, 1, 2048, 3072, 2, 84},
-                                {2, 4, 1, 2048, 3072, 2, 82},
-                                {2, 5, 1, 2048, 3072, 2, 84},
-                                {2, 6, 1, 2048, 3072, 2, 82},
-                                {2, 7, 1, 2048, 3072, 2, 82},
-                                {2, 8, 1, 2048, 3072, 2, 82},
-                                {2, 1, 1, 2048, 4096, 2, 84},
-                                {2, 2, 1, 2048, 4096, 2, 84},
-                                {2, 3, 1, 2048, 4096, 2, 84},
-                                {2, 4, 1, 2048, 4096, 2, 84},
-                                {2, 5, 1, 2048, 4096, 2, 84},
-                                {2, 6, 1, 2048, 4096, 2, 84},
-                                {2, 7, 1, 2048, 4096, 2, 84},
-                                {2, 8, 1, 2048, 4096, 2, 84},
-                                {2, 1, 1, 2048, 5120, 2, 80},
-                                {2, 2, 1, 2048, 5120, 2, 80},
-                                {2, 3, 1, 2048, 5120, 2, 84},
-                                {2, 4, 1, 2048, 5120, 2, 84},
-                                {2, 5, 1, 2048, 5120, 2, 84},
-                                {2, 6, 1, 2048, 5120, 2, 84},
-                                {2, 7, 1, 2048, 5120, 2, 84},
-                                {2, 8, 1, 2048, 5120, 2, 84},
-                                {2, 1, 1, 2048, 8192, 2, 84},
-                                {2, 2, 1, 2048, 8192, 2, 84},
-                                {2, 3, 1, 2048, 8192, 2, 84},
-                                {2, 4, 1, 2048, 8192, 2, 84},
-                                {2, 5, 1, 2048, 8192, 2, 84},
-                                {2, 6, 1, 2048, 8192, 2, 84},
-                                {2, 7, 1, 2048, 8192, 2, 84},
-                                {2, 8, 1, 2048, 8192, 2, 84},
-                                {2, 1, 1, 2048, 12288, 2, 84},
-                                {2, 2, 1, 2048, 12288, 2, 84},
-                                {2, 3, 1, 2048, 12288, 2, 84},
-                                {2, 4, 1, 2048, 12288, 2, 84},
-                                {2, 5, 1, 2048, 12288, 2, 84},
-                                {2, 6, 1, 2048, 12288, 2, 84},
-                                {2, 7, 1, 2048, 12288, 2, 84},
-                                {2, 8, 1, 2048, 12288, 2, 84},
-                                {2, 1, 1, 2048, 14336, 2, 84},
-                                {2, 2, 1, 2048, 14336, 2, 84},
-                                {2, 3, 1, 2048, 14336, 2, 84},
-                                {2, 4, 1, 2048, 14336, 2, 84},
-                                {2, 5, 1, 2048, 14336, 2, 84},
-                                {2, 6, 1, 2048, 14336, 2, 84},
-                                {2, 7, 1, 2048, 14336, 2, 84},
-                                {2, 8, 1, 2048, 14336, 2, 84},
-                                {2, 1, 1, 2048, 16384, 2, 84},
-                                {2, 2, 1, 2048, 16384, 2, 84},
-                                {2, 3, 1, 2048, 16384, 2, 84},
-                                {2, 4, 1, 2048, 16384, 2, 84},
-                                {2, 5, 1, 2048, 16384, 2, 84},
-                                {2, 6, 1, 2048, 16384, 2, 84},
-                                {2, 7, 1, 2048, 16384, 2, 84},
-                                {2, 8, 1, 2048, 16384, 2, 84},
-                                {2, 1, 1, 2048, 24576, 2, 84},
-                                {2, 2, 1, 2048, 24576, 2, 84},
-                                {2, 3, 1, 2048, 24576, 2, 84},
-                                {2, 4, 1, 2048, 24576, 2, 84},
-                                {2, 5, 1, 2048, 24576, 2, 84},
-                                {2, 6, 1, 2048, 24576, 2, 84},
-                                {2, 7, 1, 2048, 24576, 2, 84},
-                                {2, 8, 1, 2048, 24576, 2, 84},
-                                {2, 1, 1, 2048, 51200, 2, 84},
-                                {2, 2, 1, 2048, 51200, 2, 84},
-                                {2, 3, 1, 2048, 51200, 2, 84},
-                                {2, 4, 1, 2048, 51200, 2, 84},
-                                {2, 5, 1, 2048, 51200, 2, 84},
-                                {2, 6, 1, 2048, 51200, 2, 84},
-                                {2, 7, 1, 2048, 51200, 2, 84},
-                                {2, 8, 1, 2048, 51200, 2, 84},
-                                {2, 1, 1, 2048, 128000, 2, 84},
-                                {2, 2, 1, 2048, 128000, 2, 84},
-                                {2, 3, 1, 2048, 128000, 2, 84},
-                                {2, 4, 1, 2048, 128000, 2, 84},
-                                {2, 5, 1, 2048, 128000, 2, 84},
-                                {2, 6, 1, 2048, 128000, 2, 84},
-                                {2, 7, 1, 2048, 128000, 2, 84},
-                                {2, 8, 1, 2048, 128000, 2, 84},
-                                {2, 1, 1, 3072, 128, 2, 8},
-                                {2, 2, 1, 3072, 128, 2, 8},
-                                {2, 3, 1, 3072, 128, 2, 8},
-                                {2, 4, 1, 3072, 128, 2, 8},
-                                {2, 5, 1, 3072, 128, 2, 8},
-                                {2, 6, 1, 3072, 128, 2, 8},
-                                {2, 7, 1, 3072, 128, 2, 8},
-                                {2, 8, 1, 3072, 128, 2, 8},
-                                {2, 1, 1, 3072, 256, 2, 16},
-                                {2, 2, 1, 3072, 256, 2, 16},
-                                {2, 3, 1, 3072, 256, 2, 16},
-                                {2, 4, 1, 3072, 256, 2, 16},
-                                {2, 5, 1, 3072, 256, 2, 16},
-                                {2, 6, 1, 3072, 256, 2, 16},
-                                {2, 7, 1, 3072, 256, 2, 16},
-                                {2, 8, 1, 3072, 256, 2, 16},
-                                {2, 1, 1, 3072, 512, 2, 24},
-                                {2, 2, 1, 3072, 512, 2, 32},
-                                {2, 3, 1, 3072, 512, 2, 32},
-                                {2, 4, 1, 3072, 512, 2, 24},
-                                {2, 5, 1, 3072, 512, 2, 32},
-                                {2, 6, 1, 3072, 512, 2, 32},
-                                {2, 7, 1, 3072, 512, 2, 32},
-                                {2, 8, 1, 3072, 512, 2, 32},
-                                {2, 1, 1, 3072, 1024, 2, 56},
-                                {2, 2, 1, 3072, 1024, 2, 48},
-                                {2, 3, 1, 3072, 1024, 2, 64},
-                                {2, 4, 1, 3072, 1024, 2, 48},
-                                {2, 5, 1, 3072, 1024, 2, 64},
-                                {2, 6, 1, 3072, 1024, 2, 64},
-                                {2, 7, 1, 3072, 1024, 2, 64},
-                                {2, 8, 1, 3072, 1024, 2, 64},
-                                {2, 1, 1, 3072, 2048, 2, 82},
-                                {2, 2, 1, 3072, 2048, 2, 84},
-                                {2, 3, 1, 3072, 2048, 2, 82},
-                                {2, 4, 1, 3072, 2048, 2, 82},
-                                {2, 5, 1, 3072, 2048, 2, 82},
-                                {2, 6, 1, 3072, 2048, 2, 84},
-                                {2, 7, 1, 3072, 2048, 2, 82},
-                                {2, 8, 1, 3072, 2048, 2, 82},
-                                {2, 1, 1, 3072, 3072, 2, 84},
-                                {2, 2, 1, 3072, 3072, 2, 84},
-                                {2, 3, 1, 3072, 3072, 2, 84},
-                                {2, 4, 1, 3072, 3072, 2, 82},
-                                {2, 5, 1, 3072, 3072, 2, 84},
-                                {2, 6, 1, 3072, 3072, 2, 82},
-                                {2, 7, 1, 3072, 3072, 2, 84},
-                                {2, 8, 1, 3072, 3072, 2, 84},
-                                {2, 1, 1, 3072, 4096, 2, 84},
-                                {2, 2, 1, 3072, 4096, 2, 84},
-                                {2, 3, 1, 3072, 4096, 2, 84},
-                                {2, 4, 1, 3072, 4096, 2, 84},
-                                {2, 5, 1, 3072, 4096, 2, 84},
-                                {2, 6, 1, 3072, 4096, 2, 84},
-                                {2, 7, 1, 3072, 4096, 2, 84},
-                                {2, 8, 1, 3072, 4096, 2, 84},
-                                {2, 1, 1, 3072, 5120, 2, 84},
-                                {2, 2, 1, 3072, 5120, 2, 84},
-                                {2, 3, 1, 3072, 5120, 2, 84},
-                                {2, 4, 1, 3072, 5120, 2, 84},
-                                {2, 5, 1, 3072, 5120, 2, 84},
-                                {2, 6, 1, 3072, 5120, 2, 84},
-                                {2, 7, 1, 3072, 5120, 2, 84},
-                                {2, 8, 1, 3072, 5120, 2, 84},
-                                {2, 1, 1, 3072, 8192, 2, 84},
-                                {2, 2, 1, 3072, 8192, 2, 84},
-                                {2, 3, 1, 3072, 8192, 2, 84},
-                                {2, 4, 1, 3072, 8192, 2, 84},
-                                {2, 5, 1, 3072, 8192, 2, 84},
-                                {2, 6, 1, 3072, 8192, 2, 84},
-                                {2, 7, 1, 3072, 8192, 2, 84},
-                                {2, 8, 1, 3072, 8192, 2, 84},
-                                {2, 1, 1, 3072, 12288, 2, 84},
-                                {2, 2, 1, 3072, 12288, 2, 84},
-                                {2, 3, 1, 3072, 12288, 2, 84},
-                                {2, 4, 1, 3072, 12288, 2, 84},
-                                {2, 5, 1, 3072, 12288, 2, 84},
-                                {2, 6, 1, 3072, 12288, 2, 84},
-                                {2, 7, 1, 3072, 12288, 2, 84},
-                                {2, 8, 1, 3072, 12288, 2, 84},
-                                {2, 1, 1, 3072, 14336, 2, 84},
-                                {2, 2, 1, 3072, 14336, 2, 84},
-                                {2, 3, 1, 3072, 14336, 2, 84},
-                                {2, 4, 1, 3072, 14336, 2, 84},
-                                {2, 5, 1, 3072, 14336, 2, 84},
-                                {2, 6, 1, 3072, 14336, 2, 84},
-                                {2, 7, 1, 3072, 14336, 2, 84},
-                                {2, 8, 1, 3072, 14336, 2, 84},
-                                {2, 1, 1, 3072, 16384, 2, 84},
-                                {2, 2, 1, 3072, 16384, 2, 84},
-                                {2, 3, 1, 3072, 16384, 2, 84},
-                                {2, 4, 1, 3072, 16384, 2, 84},
-                                {2, 5, 1, 3072, 16384, 2, 84},
-                                {2, 6, 1, 3072, 16384, 2, 84},
-                                {2, 7, 1, 3072, 16384, 2, 84},
-                                {2, 8, 1, 3072, 16384, 2, 84},
-                                {2, 1, 1, 3072, 24576, 2, 84},
-                                {2, 2, 1, 3072, 24576, 2, 84},
-                                {2, 3, 1, 3072, 24576, 2, 84},
-                                {2, 4, 1, 3072, 24576, 2, 84},
-                                {2, 5, 1, 3072, 24576, 2, 84},
-                                {2, 6, 1, 3072, 24576, 2, 84},
-                                {2, 7, 1, 3072, 24576, 2, 84},
-                                {2, 8, 1, 3072, 24576, 2, 84},
-                                {2, 1, 1, 3072, 51200, 2, 84},
-                                {2, 2, 1, 3072, 51200, 2, 84},
-                                {2, 3, 1, 3072, 51200, 2, 84},
-                                {2, 4, 1, 3072, 51200, 2, 84},
-                                {2, 5, 1, 3072, 51200, 2, 84},
-                                {2, 6, 1, 3072, 51200, 2, 84},
-                                {2, 7, 1, 3072, 51200, 2, 84},
-                                {2, 8, 1, 3072, 51200, 2, 84},
-                                {2, 1, 1, 3072, 128000, 2, 84},
-                                {2, 2, 1, 3072, 128000, 2, 84},
-                                {2, 3, 1, 3072, 128000, 2, 84},
-                                {2, 4, 1, 3072, 128000, 2, 84},
-                                {2, 5, 1, 3072, 128000, 2, 84},
-                                {2, 6, 1, 3072, 128000, 2, 84},
-                                {2, 7, 1, 3072, 128000, 2, 84},
-                                {2, 8, 1, 3072, 128000, 2, 84},
-                                {2, 1, 1, 4096, 128, 2, 8},
-                                {2, 2, 1, 4096, 128, 2, 8},
-                                {2, 3, 1, 4096, 128, 2, 8},
-                                {2, 4, 1, 4096, 128, 2, 8},
-                                {2, 5, 1, 4096, 128, 2, 8},
-                                {2, 6, 1, 4096, 128, 2, 8},
-                                {2, 7, 1, 4096, 128, 2, 10},
-                                {2, 8, 1, 4096, 128, 2, 8},
-                                {2, 1, 1, 4096, 256, 2, 16},
-                                {2, 2, 1, 4096, 256, 2, 16},
-                                {2, 3, 1, 4096, 256, 2, 16},
-                                {2, 4, 1, 4096, 256, 2, 16},
-                                {2, 5, 1, 4096, 256, 2, 16},
-                                {2, 6, 1, 4096, 256, 2, 16},
-                                {2, 7, 1, 4096, 256, 2, 20},
-                                {2, 8, 1, 4096, 256, 2, 20},
-                                {2, 1, 1, 4096, 512, 2, 32},
-                                {2, 2, 1, 4096, 512, 2, 32},
-                                {2, 3, 1, 4096, 512, 2, 32},
-                                {2, 4, 1, 4096, 512, 2, 32},
-                                {2, 5, 1, 4096, 512, 2, 32},
-                                {2, 6, 1, 4096, 512, 2, 32},
-                                {2, 7, 1, 4096, 512, 2, 32},
-                                {2, 8, 1, 4096, 512, 2, 32},
-                                {2, 1, 1, 4096, 1024, 2, 64},
-                                {2, 2, 1, 4096, 1024, 2, 64},
-                                {2, 3, 1, 4096, 1024, 2, 64},
-                                {2, 4, 1, 4096, 1024, 2, 64},
-                                {2, 5, 1, 4096, 1024, 2, 64},
-                                {2, 6, 1, 4096, 1024, 2, 64},
-                                {2, 7, 1, 4096, 1024, 2, 70},
-                                {2, 8, 1, 4096, 1024, 2, 64},
-                                {2, 1, 1, 4096, 2048, 2, 82},
-                                {2, 2, 1, 4096, 2048, 2, 82},
-                                {2, 3, 1, 4096, 2048, 2, 82},
-                                {2, 4, 1, 4096, 2048, 2, 82},
-                                {2, 5, 1, 4096, 2048, 2, 82},
-                                {2, 6, 1, 4096, 2048, 2, 82},
-                                {2, 7, 1, 4096, 2048, 2, 82},
-                                {2, 8, 1, 4096, 2048, 2, 82},
-                                {2, 1, 1, 4096, 3072, 2, 84},
-                                {2, 2, 1, 4096, 3072, 2, 84},
-                                {2, 3, 1, 4096, 3072, 2, 84},
-                                {2, 4, 1, 4096, 3072, 2, 82},
-                                {2, 5, 1, 4096, 3072, 2, 84},
-                                {2, 6, 1, 4096, 3072, 2, 84},
-                                {2, 7, 1, 4096, 3072, 2, 84},
-                                {2, 8, 1, 4096, 3072, 2, 84},
-                                {2, 1, 1, 4096, 4096, 2, 84},
-                                {2, 2, 1, 4096, 4096, 2, 84},
-                                {2, 3, 1, 4096, 4096, 2, 84},
-                                {2, 4, 1, 4096, 4096, 2, 84},
-                                {2, 5, 1, 4096, 4096, 2, 84},
-                                {2, 6, 1, 4096, 4096, 2, 84},
-                                {2, 7, 1, 4096, 4096, 2, 84},
-                                {2, 8, 1, 4096, 4096, 2, 84},
-                                {2, 1, 1, 4096, 5120, 2, 84},
-                                {2, 2, 1, 4096, 5120, 2, 84},
-                                {2, 3, 1, 4096, 5120, 2, 84},
-                                {2, 4, 1, 4096, 5120, 2, 84},
-                                {2, 5, 1, 4096, 5120, 2, 84},
-                                {2, 6, 1, 4096, 5120, 2, 84},
-                                {2, 7, 1, 4096, 5120, 2, 84},
-                                {2, 8, 1, 4096, 5120, 2, 84},
-                                {2, 1, 1, 4096, 8192, 2, 84},
-                                {2, 2, 1, 4096, 8192, 2, 84},
-                                {2, 3, 1, 4096, 8192, 2, 84},
-                                {2, 4, 1, 4096, 8192, 2, 84},
-                                {2, 5, 1, 4096, 8192, 2, 84},
-                                {2, 6, 1, 4096, 8192, 2, 84},
-                                {2, 7, 1, 4096, 8192, 2, 84},
-                                {2, 8, 1, 4096, 8192, 2, 84},
-                                {2, 1, 1, 4096, 12288, 2, 84},
-                                {2, 2, 1, 4096, 12288, 2, 84},
-                                {2, 3, 1, 4096, 12288, 2, 84},
-                                {2, 4, 1, 4096, 12288, 2, 84},
-                                {2, 5, 1, 4096, 12288, 2, 84},
-                                {2, 6, 1, 4096, 12288, 2, 84},
-                                {2, 7, 1, 4096, 12288, 2, 84},
-                                {2, 8, 1, 4096, 12288, 2, 84},
-                                {2, 1, 1, 4096, 14336, 2, 84},
-                                {2, 2, 1, 4096, 14336, 2, 84},
-                                {2, 3, 1, 4096, 14336, 2, 84},
-                                {2, 4, 1, 4096, 14336, 2, 84},
-                                {2, 5, 1, 4096, 14336, 2, 84},
-                                {2, 6, 1, 4096, 14336, 2, 84},
-                                {2, 7, 1, 4096, 14336, 2, 84},
-                                {2, 8, 1, 4096, 14336, 2, 84},
-                                {2, 1, 1, 4096, 16384, 2, 84},
-                                {2, 2, 1, 4096, 16384, 2, 84},
-                                {2, 3, 1, 4096, 16384, 2, 84},
-                                {2, 4, 1, 4096, 16384, 2, 84},
-                                {2, 5, 1, 4096, 16384, 2, 84},
-                                {2, 6, 1, 4096, 16384, 2, 84},
-                                {2, 7, 1, 4096, 16384, 2, 84},
-                                {2, 8, 1, 4096, 16384, 2, 84},
-                                {2, 1, 1, 4096, 24576, 2, 84},
-                                {2, 2, 1, 4096, 24576, 2, 84},
-                                {2, 3, 1, 4096, 24576, 2, 84},
-                                {2, 4, 1, 4096, 24576, 2, 84},
-                                {2, 5, 1, 4096, 24576, 2, 84},
-                                {2, 6, 1, 4096, 24576, 2, 84},
-                                {2, 7, 1, 4096, 24576, 2, 84},
-                                {2, 8, 1, 4096, 24576, 2, 84},
-                                {2, 1, 1, 4096, 51200, 2, 84},
-                                {2, 2, 1, 4096, 51200, 2, 84},
-                                {2, 3, 1, 4096, 51200, 2, 84},
-                                {2, 4, 1, 4096, 51200, 2, 84},
-                                {2, 5, 1, 4096, 51200, 2, 84},
-                                {2, 6, 1, 4096, 51200, 2, 84},
-                                {2, 7, 1, 4096, 51200, 2, 84},
-                                {2, 8, 1, 4096, 51200, 2, 84},
-                                {2, 1, 1, 4096, 128000, 2, 84},
-                                {2, 2, 1, 4096, 128000, 2, 84},
-                                {2, 3, 1, 4096, 128000, 2, 84},
-                                {2, 4, 1, 4096, 128000, 2, 84},
-                                {2, 5, 1, 4096, 128000, 2, 84},
-                                {2, 6, 1, 4096, 128000, 2, 84},
-                                {2, 7, 1, 4096, 128000, 2, 84},
-                                {2, 8, 1, 4096, 128000, 2, 84},
-                                {2, 1, 1, 5120, 128, 2, 10},
-                                {2, 2, 1, 5120, 128, 2, 10},
-                                {2, 3, 1, 5120, 128, 2, 10},
-                                {2, 4, 1, 5120, 128, 2, 10},
-                                {2, 5, 1, 5120, 128, 2, 10},
-                                {2, 6, 1, 5120, 128, 2, 10},
-                                {2, 7, 1, 5120, 128, 2, 10},
-                                {2, 8, 1, 5120, 128, 2, 10},
-                                {2, 1, 1, 5120, 256, 2, 18},
-                                {2, 2, 1, 5120, 256, 2, 18},
-                                {2, 3, 1, 5120, 256, 2, 20},
-                                {2, 4, 1, 5120, 256, 2, 18},
-                                {2, 5, 1, 5120, 256, 2, 20},
-                                {2, 6, 1, 5120, 256, 2, 20},
-                                {2, 7, 1, 5120, 256, 2, 20},
-                                {2, 8, 1, 5120, 256, 2, 20},
-                                {2, 1, 1, 5120, 512, 2, 32},
-                                {2, 2, 1, 5120, 512, 2, 36},
-                                {2, 3, 1, 5120, 512, 2, 40},
-                                {2, 4, 1, 5120, 512, 2, 36},
-                                {2, 5, 1, 5120, 512, 2, 40},
-                                {2, 6, 1, 5120, 512, 2, 40},
-                                {2, 7, 1, 5120, 512, 2, 40},
-                                {2, 8, 1, 5120, 512, 2, 40},
-                                {2, 1, 1, 5120, 1024, 2, 64},
-                                {2, 2, 1, 5120, 1024, 2, 64},
-                                {2, 3, 1, 5120, 1024, 2, 80},
-                                {2, 4, 1, 5120, 1024, 2, 72},
-                                {2, 5, 1, 5120, 1024, 2, 78},
-                                {2, 6, 1, 5120, 1024, 2, 78},
-                                {2, 7, 1, 5120, 1024, 2, 78},
-                                {2, 8, 1, 5120, 1024, 2, 78},
-                                {2, 1, 1, 5120, 2048, 2, 84},
-                                {2, 2, 1, 5120, 2048, 2, 84},
-                                {2, 3, 1, 5120, 2048, 2, 84},
-                                {2, 4, 1, 5120, 2048, 2, 84},
-                                {2, 5, 1, 5120, 2048, 2, 84},
-                                {2, 6, 1, 5120, 2048, 2, 84},
-                                {2, 7, 1, 5120, 2048, 2, 84},
-                                {2, 8, 1, 5120, 2048, 2, 84},
-                                {2, 1, 1, 5120, 3072, 2, 84},
-                                {2, 2, 1, 5120, 3072, 2, 84},
-                                {2, 3, 1, 5120, 3072, 2, 84},
-                                {2, 4, 1, 5120, 3072, 2, 84},
-                                {2, 5, 1, 5120, 3072, 2, 84},
-                                {2, 6, 1, 5120, 3072, 2, 84},
-                                {2, 7, 1, 5120, 3072, 2, 84},
-                                {2, 8, 1, 5120, 3072, 2, 84},
-                                {2, 1, 1, 5120, 4096, 2, 84},
-                                {2, 2, 1, 5120, 4096, 2, 84},
-                                {2, 3, 1, 5120, 4096, 2, 84},
-                                {2, 4, 1, 5120, 4096, 2, 84},
-                                {2, 5, 1, 5120, 4096, 2, 84},
-                                {2, 6, 1, 5120, 4096, 2, 84},
-                                {2, 7, 1, 5120, 4096, 2, 84},
-                                {2, 8, 1, 5120, 4096, 2, 84},
-                                {2, 1, 1, 5120, 5120, 2, 84},
-                                {2, 2, 1, 5120, 5120, 2, 84},
-                                {2, 3, 1, 5120, 5120, 2, 84},
-                                {2, 4, 1, 5120, 5120, 2, 84},
-                                {2, 5, 1, 5120, 5120, 2, 84},
-                                {2, 6, 1, 5120, 5120, 2, 84},
-                                {2, 7, 1, 5120, 5120, 2, 84},
-                                {2, 8, 1, 5120, 5120, 2, 84},
-                                {2, 1, 1, 5120, 8192, 2, 84},
-                                {2, 2, 1, 5120, 8192, 2, 84},
-                                {2, 3, 1, 5120, 8192, 2, 84},
-                                {2, 4, 1, 5120, 8192, 2, 84},
-                                {2, 5, 1, 5120, 8192, 2, 84},
-                                {2, 6, 1, 5120, 8192, 2, 84},
-                                {2, 7, 1, 5120, 8192, 2, 84},
-                                {2, 8, 1, 5120, 8192, 2, 84},
-                                {2, 1, 1, 5120, 12288, 2, 84},
-                                {2, 2, 1, 5120, 12288, 2, 84},
-                                {2, 3, 1, 5120, 12288, 2, 84},
-                                {2, 4, 1, 5120, 12288, 2, 84},
-                                {2, 5, 1, 5120, 12288, 2, 84},
-                                {2, 6, 1, 5120, 12288, 2, 84},
-                                {2, 7, 1, 5120, 12288, 2, 84},
-                                {2, 8, 1, 5120, 12288, 2, 84},
-                                {2, 1, 1, 5120, 14336, 2, 84},
-                                {2, 2, 1, 5120, 14336, 2, 84},
-                                {2, 3, 1, 5120, 14336, 2, 84},
-                                {2, 4, 1, 5120, 14336, 2, 84},
-                                {2, 5, 1, 5120, 14336, 2, 84},
-                                {2, 6, 1, 5120, 14336, 2, 84},
-                                {2, 7, 1, 5120, 14336, 2, 84},
-                                {2, 8, 1, 5120, 14336, 2, 84},
-                                {2, 1, 1, 5120, 16384, 2, 84},
-                                {2, 2, 1, 5120, 16384, 2, 84},
-                                {2, 3, 1, 5120, 16384, 2, 84},
-                                {2, 4, 1, 5120, 16384, 2, 84},
-                                {2, 5, 1, 5120, 16384, 2, 84},
-                                {2, 6, 1, 5120, 16384, 2, 84},
-                                {2, 7, 1, 5120, 16384, 2, 84},
-                                {2, 8, 1, 5120, 16384, 2, 84},
-                                {2, 1, 1, 5120, 24576, 2, 84},
-                                {2, 2, 1, 5120, 24576, 2, 84},
-                                {2, 3, 1, 5120, 24576, 2, 84},
-                                {2, 4, 1, 5120, 24576, 2, 84},
-                                {2, 5, 1, 5120, 24576, 2, 84},
-                                {2, 6, 1, 5120, 24576, 2, 84},
-                                {2, 7, 1, 5120, 24576, 2, 84},
-                                {2, 8, 1, 5120, 24576, 2, 84},
-                                {2, 1, 1, 5120, 51200, 2, 84},
-                                {2, 2, 1, 5120, 51200, 2, 84},
-                                {2, 3, 1, 5120, 51200, 2, 84},
-                                {2, 4, 1, 5120, 51200, 2, 84},
-                                {2, 5, 1, 5120, 51200, 2, 84},
-                                {2, 6, 1, 5120, 51200, 2, 84},
-                                {2, 7, 1, 5120, 51200, 2, 84},
-                                {2, 8, 1, 5120, 51200, 2, 84},
-                                {2, 1, 1, 5120, 128000, 2, 84},
-                                {2, 2, 1, 5120, 128000, 2, 84},
-                                {2, 3, 1, 5120, 128000, 2, 84},
-                                {2, 4, 1, 5120, 128000, 2, 84},
-                                {2, 5, 1, 5120, 128000, 2, 84},
-                                {2, 6, 1, 5120, 128000, 2, 84},
-                                {2, 7, 1, 5120, 128000, 2, 84},
-                                {2, 8, 1, 5120, 128000, 2, 84},
-                                {2, 1, 1, 8192, 128, 2, 12},
-                                {2, 2, 1, 8192, 128, 2, 12},
-                                {2, 3, 1, 8192, 128, 2, 12},
-                                {2, 4, 1, 8192, 128, 2, 10},
-                                {2, 5, 1, 8192, 128, 2, 12},
-                                {2, 6, 1, 8192, 128, 2, 12},
-                                {2, 7, 1, 8192, 128, 2, 16},
-                                {2, 8, 1, 8192, 128, 2, 12},
-                                {2, 1, 1, 8192, 256, 2, 24},
-                                {2, 2, 1, 8192, 256, 2, 24},
-                                {2, 3, 1, 8192, 256, 2, 26},
-                                {2, 4, 1, 8192, 256, 2, 24},
-                                {2, 5, 1, 8192, 256, 2, 26},
-                                {2, 6, 1, 8192, 256, 2, 26},
-                                {2, 7, 1, 8192, 256, 2, 26},
-                                {2, 8, 1, 8192, 256, 2, 26},
-                                {2, 1, 1, 8192, 512, 2, 48},
-                                {2, 2, 1, 8192, 512, 2, 42},
-                                {2, 3, 1, 8192, 512, 2, 52},
-                                {2, 4, 1, 8192, 512, 2, 42},
-                                {2, 5, 1, 8192, 512, 2, 52},
-                                {2, 6, 1, 8192, 512, 2, 52},
-                                {2, 7, 1, 8192, 512, 2, 52},
-                                {2, 8, 1, 8192, 512, 2, 52},
-                                {2, 1, 1, 8192, 1024, 2, 82},
-                                {2, 2, 1, 8192, 1024, 2, 82},
-                                {2, 3, 1, 8192, 1024, 2, 82},
-                                {2, 4, 1, 8192, 1024, 2, 82},
-                                {2, 5, 1, 8192, 1024, 2, 82},
-                                {2, 6, 1, 8192, 1024, 2, 82},
-                                {2, 7, 1, 8192, 1024, 2, 82},
-                                {2, 8, 1, 8192, 1024, 2, 82},
-                                {2, 1, 1, 8192, 2048, 2, 84},
-                                {2, 2, 1, 8192, 2048, 2, 84},
-                                {2, 3, 1, 8192, 2048, 2, 84},
-                                {2, 4, 1, 8192, 2048, 2, 84},
-                                {2, 5, 1, 8192, 2048, 2, 84},
-                                {2, 6, 1, 8192, 2048, 2, 84},
-                                {2, 7, 1, 8192, 2048, 2, 84},
-                                {2, 8, 1, 8192, 2048, 2, 84},
-                                {2, 1, 1, 8192, 3072, 2, 84},
-                                {2, 2, 1, 8192, 3072, 2, 84},
-                                {2, 3, 1, 8192, 3072, 2, 84},
-                                {2, 4, 1, 8192, 3072, 2, 84},
-                                {2, 5, 1, 8192, 3072, 2, 84},
-                                {2, 6, 1, 8192, 3072, 2, 84},
-                                {2, 7, 1, 8192, 3072, 2, 84},
-                                {2, 8, 1, 8192, 3072, 2, 84},
-                                {2, 1, 1, 8192, 4096, 2, 84},
-                                {2, 2, 1, 8192, 4096, 2, 84},
-                                {2, 3, 1, 8192, 4096, 2, 84},
-                                {2, 4, 1, 8192, 4096, 2, 84},
-                                {2, 5, 1, 8192, 4096, 2, 84},
-                                {2, 6, 1, 8192, 4096, 2, 84},
-                                {2, 7, 1, 8192, 4096, 2, 84},
-                                {2, 8, 1, 8192, 4096, 2, 84},
-                                {2, 1, 1, 8192, 5120, 2, 84},
-                                {2, 2, 1, 8192, 5120, 2, 84},
-                                {2, 3, 1, 8192, 5120, 2, 84},
-                                {2, 4, 1, 8192, 5120, 2, 84},
-                                {2, 5, 1, 8192, 5120, 2, 84},
-                                {2, 6, 1, 8192, 5120, 2, 84},
-                                {2, 7, 1, 8192, 5120, 2, 84},
-                                {2, 8, 1, 8192, 5120, 2, 84},
-                                {2, 1, 1, 8192, 8192, 2, 84},
-                                {2, 2, 1, 8192, 8192, 2, 84},
-                                {2, 3, 1, 8192, 8192, 2, 84},
-                                {2, 4, 1, 8192, 8192, 2, 84},
-                                {2, 5, 1, 8192, 8192, 2, 84},
-                                {2, 6, 1, 8192, 8192, 2, 84},
-                                {2, 7, 1, 8192, 8192, 2, 84},
-                                {2, 8, 1, 8192, 8192, 2, 84},
-                                {2, 1, 1, 8192, 12288, 2, 84},
-                                {2, 2, 1, 8192, 12288, 2, 84},
-                                {2, 3, 1, 8192, 12288, 2, 84},
-                                {2, 4, 1, 8192, 12288, 2, 84},
-                                {2, 5, 1, 8192, 12288, 2, 84},
-                                {2, 6, 1, 8192, 12288, 2, 84},
-                                {2, 7, 1, 8192, 12288, 2, 84},
-                                {2, 8, 1, 8192, 12288, 2, 84},
-                                {2, 1, 1, 8192, 14336, 2, 84},
-                                {2, 2, 1, 8192, 14336, 2, 84},
-                                {2, 3, 1, 8192, 14336, 2, 84},
-                                {2, 4, 1, 8192, 14336, 2, 84},
-                                {2, 5, 1, 8192, 14336, 2, 84},
-                                {2, 6, 1, 8192, 14336, 2, 84},
-                                {2, 7, 1, 8192, 14336, 2, 84},
-                                {2, 8, 1, 8192, 14336, 2, 84},
-                                {2, 1, 1, 8192, 16384, 2, 84},
-                                {2, 2, 1, 8192, 16384, 2, 84},
-                                {2, 3, 1, 8192, 16384, 2, 84},
-                                {2, 4, 1, 8192, 16384, 2, 84},
-                                {2, 5, 1, 8192, 16384, 2, 84},
-                                {2, 6, 1, 8192, 16384, 2, 84},
-                                {2, 7, 1, 8192, 16384, 2, 84},
-                                {2, 8, 1, 8192, 16384, 2, 84},
-                                {2, 1, 1, 8192, 24576, 2, 84},
-                                {2, 2, 1, 8192, 24576, 2, 84},
-                                {2, 3, 1, 8192, 24576, 2, 84},
-                                {2, 4, 1, 8192, 24576, 2, 84},
-                                {2, 5, 1, 8192, 24576, 2, 84},
-                                {2, 6, 1, 8192, 24576, 2, 84},
-                                {2, 7, 1, 8192, 24576, 2, 84},
-                                {2, 8, 1, 8192, 24576, 2, 84},
-                                {2, 1, 1, 8192, 51200, 2, 84},
-                                {2, 2, 1, 8192, 51200, 2, 84},
-                                {2, 3, 1, 8192, 51200, 2, 84},
-                                {2, 4, 1, 8192, 51200, 2, 84},
-                                {2, 5, 1, 8192, 51200, 2, 84},
-                                {2, 6, 1, 8192, 51200, 2, 84},
-                                {2, 7, 1, 8192, 51200, 2, 84},
-                                {2, 8, 1, 8192, 51200, 2, 84},
-                                {2, 1, 1, 8192, 128000, 2, 84},
-                                {2, 2, 1, 8192, 128000, 2, 84},
-                                {2, 3, 1, 8192, 128000, 2, 84},
-                                {2, 4, 1, 8192, 128000, 2, 84},
-                                {2, 5, 1, 8192, 128000, 2, 84},
-                                {2, 6, 1, 8192, 128000, 2, 84},
-                                {2, 7, 1, 8192, 128000, 2, 84},
-                                {2, 8, 1, 8192, 128000, 2, 84},
-                                {2, 1, 1, 12288, 128, 2, 16},
-                                {2, 2, 1, 12288, 128, 2, 16},
-                                {2, 3, 1, 12288, 128, 2, 16},
-                                {2, 4, 1, 12288, 128, 2, 16},
-                                {2, 5, 1, 12288, 128, 2, 16},
-                                {2, 6, 1, 12288, 128, 2, 16},
-                                {2, 7, 1, 12288, 128, 2, 16},
-                                {2, 8, 1, 12288, 128, 2, 16},
-                                {2, 1, 1, 12288, 256, 2, 32},
-                                {2, 2, 1, 12288, 256, 2, 32},
-                                {2, 3, 1, 12288, 256, 2, 32},
-                                {2, 4, 1, 12288, 256, 2, 24},
-                                {2, 5, 1, 12288, 256, 2, 32},
-                                {2, 6, 1, 12288, 256, 2, 32},
-                                {2, 7, 1, 12288, 256, 2, 34},
-                                {2, 8, 1, 12288, 256, 2, 32},
-                                {2, 1, 1, 12288, 512, 2, 64},
-                                {2, 2, 1, 12288, 512, 2, 64},
-                                {2, 3, 1, 12288, 512, 2, 64},
-                                {2, 4, 1, 12288, 512, 2, 52},
-                                {2, 5, 1, 12288, 512, 2, 64},
-                                {2, 6, 1, 12288, 512, 2, 64},
-                                {2, 7, 1, 12288, 512, 2, 64},
-                                {2, 8, 1, 12288, 512, 2, 64},
-                                {2, 1, 1, 12288, 1024, 2, 84},
-                                {2, 2, 1, 12288, 1024, 2, 84},
-                                {2, 3, 1, 12288, 1024, 2, 84},
-                                {2, 4, 1, 12288, 1024, 2, 84},
-                                {2, 5, 1, 12288, 1024, 2, 84},
-                                {2, 6, 1, 12288, 1024, 2, 84},
-                                {2, 7, 1, 12288, 1024, 2, 84},
-                                {2, 8, 1, 12288, 1024, 2, 84},
-                                {2, 1, 1, 12288, 2048, 2, 84},
-                                {2, 2, 1, 12288, 2048, 2, 84},
-                                {2, 3, 1, 12288, 2048, 2, 84},
-                                {2, 4, 1, 12288, 2048, 2, 84},
-                                {2, 5, 1, 12288, 2048, 2, 84},
-                                {2, 6, 1, 12288, 2048, 2, 84},
-                                {2, 7, 1, 12288, 2048, 2, 84},
-                                {2, 8, 1, 12288, 2048, 2, 84},
-                                {2, 1, 1, 12288, 3072, 2, 84},
-                                {2, 2, 1, 12288, 3072, 2, 84},
-                                {2, 3, 1, 12288, 3072, 2, 84},
-                                {2, 4, 1, 12288, 3072, 2, 84},
-                                {2, 5, 1, 12288, 3072, 2, 84},
-                                {2, 6, 1, 12288, 3072, 2, 84},
-                                {2, 7, 1, 12288, 3072, 2, 84},
-                                {2, 8, 1, 12288, 3072, 2, 84},
-                                {2, 1, 1, 12288, 4096, 2, 84},
-                                {2, 2, 1, 12288, 4096, 2, 84},
-                                {2, 3, 1, 12288, 4096, 2, 84},
-                                {2, 4, 1, 12288, 4096, 2, 84},
-                                {2, 5, 1, 12288, 4096, 2, 84},
-                                {2, 6, 1, 12288, 4096, 2, 84},
-                                {2, 7, 1, 12288, 4096, 2, 84},
-                                {2, 8, 1, 12288, 4096, 2, 84},
-                                {2, 1, 1, 12288, 5120, 2, 84},
-                                {2, 2, 1, 12288, 5120, 2, 84},
-                                {2, 3, 1, 12288, 5120, 2, 84},
-                                {2, 4, 1, 12288, 5120, 2, 84},
-                                {2, 5, 1, 12288, 5120, 2, 84},
-                                {2, 6, 1, 12288, 5120, 2, 84},
-                                {2, 7, 1, 12288, 5120, 2, 84},
-                                {2, 8, 1, 12288, 5120, 2, 84},
-                                {2, 1, 1, 12288, 8192, 2, 84},
-                                {2, 2, 1, 12288, 8192, 2, 84},
-                                {2, 3, 1, 12288, 8192, 2, 84},
-                                {2, 4, 1, 12288, 8192, 2, 84},
-                                {2, 5, 1, 12288, 8192, 2, 84},
-                                {2, 6, 1, 12288, 8192, 2, 84},
-                                {2, 7, 1, 12288, 8192, 2, 84},
-                                {2, 8, 1, 12288, 8192, 2, 84},
-                                {2, 1, 1, 12288, 12288, 2, 84},
-                                {2, 2, 1, 12288, 12288, 2, 84},
-                                {2, 3, 1, 12288, 12288, 2, 84},
-                                {2, 4, 1, 12288, 12288, 2, 84},
-                                {2, 5, 1, 12288, 12288, 2, 84},
-                                {2, 6, 1, 12288, 12288, 2, 84},
-                                {2, 7, 1, 12288, 12288, 2, 84},
-                                {2, 8, 1, 12288, 12288, 2, 84},
-                                {2, 1, 1, 12288, 14336, 2, 84},
-                                {2, 2, 1, 12288, 14336, 2, 84},
-                                {2, 3, 1, 12288, 14336, 2, 84},
-                                {2, 4, 1, 12288, 14336, 2, 84},
-                                {2, 5, 1, 12288, 14336, 2, 84},
-                                {2, 6, 1, 12288, 14336, 2, 84},
-                                {2, 7, 1, 12288, 14336, 2, 84},
-                                {2, 8, 1, 12288, 14336, 2, 84},
-                                {2, 1, 1, 12288, 16384, 2, 84},
-                                {2, 2, 1, 12288, 16384, 2, 84},
-                                {2, 3, 1, 12288, 16384, 2, 84},
-                                {2, 4, 1, 12288, 16384, 2, 84},
-                                {2, 5, 1, 12288, 16384, 2, 84},
-                                {2, 6, 1, 12288, 16384, 2, 84},
-                                {2, 7, 1, 12288, 16384, 2, 84},
-                                {2, 8, 1, 12288, 16384, 2, 84},
-                                {2, 1, 1, 12288, 24576, 2, 84},
-                                {2, 2, 1, 12288, 24576, 2, 84},
-                                {2, 3, 1, 12288, 24576, 2, 84},
-                                {2, 4, 1, 12288, 24576, 2, 84},
-                                {2, 5, 1, 12288, 24576, 2, 84},
-                                {2, 6, 1, 12288, 24576, 2, 84},
-                                {2, 7, 1, 12288, 24576, 2, 84},
-                                {2, 8, 1, 12288, 24576, 2, 84},
-                                {2, 1, 1, 12288, 51200, 2, 84},
-                                {2, 2, 1, 12288, 51200, 2, 84},
-                                {2, 3, 1, 12288, 51200, 2, 84},
-                                {2, 4, 1, 12288, 51200, 2, 84},
-                                {2, 5, 1, 12288, 51200, 2, 84},
-                                {2, 6, 1, 12288, 51200, 2, 84},
-                                {2, 7, 1, 12288, 51200, 2, 84},
-                                {2, 8, 1, 12288, 51200, 2, 84},
-                                {2, 1, 1, 12288, 128000, 2, 84},
-                                {2, 2, 1, 12288, 128000, 2, 84},
-                                {2, 3, 1, 12288, 128000, 2, 84},
-                                {2, 4, 1, 12288, 128000, 2, 84},
-                                {2, 5, 1, 12288, 128000, 2, 84},
-                                {2, 6, 1, 12288, 128000, 2, 84},
-                                {2, 7, 1, 12288, 128000, 2, 84},
-                                {2, 8, 1, 12288, 128000, 2, 84},
-                                {2, 1, 1, 14336, 128, 2, 16},
-                                {2, 2, 1, 14336, 128, 2, 16},
-                                {2, 3, 1, 14336, 128, 2, 18},
-                                {2, 4, 1, 14336, 128, 2, 16},
-                                {2, 5, 1, 14336, 128, 2, 18},
-                                {2, 6, 1, 14336, 128, 2, 16},
-                                {2, 7, 1, 14336, 128, 2, 18},
-                                {2, 8, 1, 14336, 128, 2, 16},
-                                {2, 1, 1, 14336, 256, 2, 32},
-                                {2, 2, 1, 14336, 256, 2, 30},
-                                {2, 3, 1, 14336, 256, 2, 32},
-                                {2, 4, 1, 14336, 256, 2, 30},
-                                {2, 5, 1, 14336, 256, 2, 32},
-                                {2, 6, 1, 14336, 256, 2, 36},
-                                {2, 7, 1, 14336, 256, 2, 36},
-                                {2, 8, 1, 14336, 256, 2, 36},
-                                {2, 1, 1, 14336, 512, 2, 60},
-                                {2, 2, 1, 14336, 512, 2, 64},
-                                {2, 3, 1, 14336, 512, 2, 64},
-                                {2, 4, 1, 14336, 512, 2, 60},
-                                {2, 5, 1, 14336, 512, 2, 64},
-                                {2, 6, 1, 14336, 512, 2, 64},
-                                {2, 7, 1, 14336, 512, 2, 72},
-                                {2, 8, 1, 14336, 512, 2, 64},
-                                {2, 1, 1, 14336, 1024, 2, 84},
-                                {2, 2, 1, 14336, 1024, 2, 84},
-                                {2, 3, 1, 14336, 1024, 2, 84},
-                                {2, 4, 1, 14336, 1024, 2, 84},
-                                {2, 5, 1, 14336, 1024, 2, 84},
-                                {2, 6, 1, 14336, 1024, 2, 84},
-                                {2, 7, 1, 14336, 1024, 2, 84},
-                                {2, 8, 1, 14336, 1024, 2, 84},
-                                {2, 1, 1, 14336, 2048, 2, 84},
-                                {2, 2, 1, 14336, 2048, 2, 84},
-                                {2, 3, 1, 14336, 2048, 2, 84},
-                                {2, 4, 1, 14336, 2048, 2, 84},
-                                {2, 5, 1, 14336, 2048, 2, 84},
-                                {2, 6, 1, 14336, 2048, 2, 84},
-                                {2, 7, 1, 14336, 2048, 2, 84},
-                                {2, 8, 1, 14336, 2048, 2, 84},
-                                {2, 1, 1, 14336, 3072, 2, 84},
-                                {2, 2, 1, 14336, 3072, 2, 84},
-                                {2, 3, 1, 14336, 3072, 2, 84},
-                                {2, 4, 1, 14336, 3072, 2, 84},
-                                {2, 5, 1, 14336, 3072, 2, 84},
-                                {2, 6, 1, 14336, 3072, 2, 84},
-                                {2, 7, 1, 14336, 3072, 2, 84},
-                                {2, 8, 1, 14336, 3072, 2, 84},
-                                {2, 1, 1, 14336, 4096, 2, 84},
-                                {2, 2, 1, 14336, 4096, 2, 84},
-                                {2, 3, 1, 14336, 4096, 2, 84},
-                                {2, 4, 1, 14336, 4096, 2, 84},
-                                {2, 5, 1, 14336, 4096, 2, 84},
-                                {2, 6, 1, 14336, 4096, 2, 84},
-                                {2, 7, 1, 14336, 4096, 2, 84},
-                                {2, 8, 1, 14336, 4096, 2, 84},
-                                {2, 1, 1, 14336, 5120, 2, 84},
-                                {2, 2, 1, 14336, 5120, 2, 84},
-                                {2, 3, 1, 14336, 5120, 2, 84},
-                                {2, 4, 1, 14336, 5120, 2, 84},
-                                {2, 5, 1, 14336, 5120, 2, 84},
-                                {2, 6, 1, 14336, 5120, 2, 84},
-                                {2, 7, 1, 14336, 5120, 2, 84},
-                                {2, 8, 1, 14336, 5120, 2, 84},
-                                {2, 1, 1, 14336, 8192, 2, 84},
-                                {2, 2, 1, 14336, 8192, 2, 84},
-                                {2, 3, 1, 14336, 8192, 2, 84},
-                                {2, 4, 1, 14336, 8192, 2, 84},
-                                {2, 5, 1, 14336, 8192, 2, 84},
-                                {2, 6, 1, 14336, 8192, 2, 84},
-                                {2, 7, 1, 14336, 8192, 2, 84},
-                                {2, 8, 1, 14336, 8192, 2, 84},
-                                {2, 1, 1, 14336, 12288, 2, 84},
-                                {2, 2, 1, 14336, 12288, 2, 84},
-                                {2, 3, 1, 14336, 12288, 2, 84},
-                                {2, 4, 1, 14336, 12288, 2, 84},
-                                {2, 5, 1, 14336, 12288, 2, 84},
-                                {2, 6, 1, 14336, 12288, 2, 84},
-                                {2, 7, 1, 14336, 12288, 2, 84},
-                                {2, 8, 1, 14336, 12288, 2, 84},
-                                {2, 1, 1, 14336, 14336, 2, 84},
-                                {2, 2, 1, 14336, 14336, 2, 84},
-                                {2, 3, 1, 14336, 14336, 2, 84},
-                                {2, 4, 1, 14336, 14336, 2, 84},
-                                {2, 5, 1, 14336, 14336, 2, 84},
-                                {2, 6, 1, 14336, 14336, 2, 84},
-                                {2, 7, 1, 14336, 14336, 2, 84},
-                                {2, 8, 1, 14336, 14336, 2, 84},
-                                {2, 1, 1, 14336, 16384, 2, 84},
-                                {2, 2, 1, 14336, 16384, 2, 84},
-                                {2, 3, 1, 14336, 16384, 2, 84},
-                                {2, 4, 1, 14336, 16384, 2, 84},
-                                {2, 5, 1, 14336, 16384, 2, 84},
-                                {2, 6, 1, 14336, 16384, 2, 84},
-                                {2, 7, 1, 14336, 16384, 2, 84},
-                                {2, 8, 1, 14336, 16384, 2, 84},
-                                {2, 1, 1, 14336, 24576, 2, 84},
-                                {2, 2, 1, 14336, 24576, 2, 84},
-                                {2, 3, 1, 14336, 24576, 2, 84},
-                                {2, 4, 1, 14336, 24576, 2, 84},
-                                {2, 5, 1, 14336, 24576, 2, 84},
-                                {2, 6, 1, 14336, 24576, 2, 84},
-                                {2, 7, 1, 14336, 24576, 2, 84},
-                                {2, 8, 1, 14336, 24576, 2, 84},
-                                {2, 1, 1, 14336, 51200, 2, 84},
-                                {2, 2, 1, 14336, 51200, 2, 84},
-                                {2, 3, 1, 14336, 51200, 2, 84},
-                                {2, 4, 1, 14336, 51200, 2, 84},
-                                {2, 5, 1, 14336, 51200, 2, 84},
-                                {2, 6, 1, 14336, 51200, 2, 84},
-                                {2, 7, 1, 14336, 51200, 2, 84},
-                                {2, 8, 1, 14336, 51200, 2, 84},
-                                {2, 1, 1, 14336, 128000, 2, 84},
-                                {2, 2, 1, 14336, 128000, 2, 84},
-                                {2, 3, 1, 14336, 128000, 2, 84},
-                                {2, 4, 1, 14336, 128000, 2, 84},
-                                {2, 5, 1, 14336, 128000, 2, 84},
-                                {2, 6, 1, 14336, 128000, 2, 84},
-                                {2, 7, 1, 14336, 128000, 2, 84},
-                                {2, 8, 1, 14336, 128000, 2, 84},
-                                {2, 1, 1, 16384, 128, 2, 16},
-                                {2, 2, 1, 16384, 128, 2, 16},
-                                {2, 3, 1, 16384, 128, 2, 16},
-                                {2, 4, 1, 16384, 128, 2, 16},
-                                {2, 5, 1, 16384, 128, 2, 16},
-                                {2, 6, 1, 16384, 128, 2, 16},
-                                {2, 7, 1, 16384, 128, 2, 20},
-                                {2, 8, 1, 16384, 128, 2, 20},
-                                {2, 1, 1, 16384, 256, 2, 38},
-                                {2, 2, 1, 16384, 256, 2, 38},
-                                {2, 3, 1, 16384, 256, 2, 38},
-                                {2, 4, 1, 16384, 256, 2, 32},
-                                {2, 5, 1, 16384, 256, 2, 38},
-                                {2, 6, 1, 16384, 256, 2, 38},
-                                {2, 7, 1, 16384, 256, 2, 38},
-                                {2, 8, 1, 16384, 256, 2, 38},
-                                {2, 1, 1, 16384, 512, 2, 64},
-                                {2, 2, 1, 16384, 512, 2, 64},
-                                {2, 3, 1, 16384, 512, 2, 76},
-                                {2, 4, 1, 16384, 512, 2, 64},
-                                {2, 5, 1, 16384, 512, 2, 64},
-                                {2, 6, 1, 16384, 512, 2, 76},
-                                {2, 7, 1, 16384, 512, 2, 76},
-                                {2, 8, 1, 16384, 512, 2, 72},
-                                {2, 1, 1, 16384, 1024, 2, 84},
-                                {2, 2, 1, 16384, 1024, 2, 84},
-                                {2, 3, 1, 16384, 1024, 2, 84},
-                                {2, 4, 1, 16384, 1024, 2, 84},
-                                {2, 5, 1, 16384, 1024, 2, 84},
-                                {2, 6, 1, 16384, 1024, 2, 84},
-                                {2, 7, 1, 16384, 1024, 2, 84},
-                                {2, 8, 1, 16384, 1024, 2, 84},
-                                {2, 1, 1, 16384, 2048, 2, 84},
-                                {2, 2, 1, 16384, 2048, 2, 84},
-                                {2, 3, 1, 16384, 2048, 2, 84},
-                                {2, 4, 1, 16384, 2048, 2, 84},
-                                {2, 5, 1, 16384, 2048, 2, 84},
-                                {2, 6, 1, 16384, 2048, 2, 84},
-                                {2, 7, 1, 16384, 2048, 2, 84},
-                                {2, 8, 1, 16384, 2048, 2, 84},
-                                {2, 1, 1, 16384, 3072, 2, 84},
-                                {2, 2, 1, 16384, 3072, 2, 84},
-                                {2, 3, 1, 16384, 3072, 2, 84},
-                                {2, 4, 1, 16384, 3072, 2, 84},
-                                {2, 5, 1, 16384, 3072, 2, 84},
-                                {2, 6, 1, 16384, 3072, 2, 84},
-                                {2, 7, 1, 16384, 3072, 2, 84},
-                                {2, 8, 1, 16384, 3072, 2, 84},
-                                {2, 1, 1, 16384, 4096, 2, 84},
-                                {2, 2, 1, 16384, 4096, 2, 84},
-                                {2, 3, 1, 16384, 4096, 2, 84},
-                                {2, 4, 1, 16384, 4096, 2, 84},
-                                {2, 5, 1, 16384, 4096, 2, 84},
-                                {2, 6, 1, 16384, 4096, 2, 84},
-                                {2, 7, 1, 16384, 4096, 2, 84},
-                                {2, 8, 1, 16384, 4096, 2, 84},
-                                {2, 1, 1, 16384, 5120, 2, 84},
-                                {2, 2, 1, 16384, 5120, 2, 84},
-                                {2, 3, 1, 16384, 5120, 2, 84},
-                                {2, 4, 1, 16384, 5120, 2, 84},
-                                {2, 5, 1, 16384, 5120, 2, 84},
-                                {2, 6, 1, 16384, 5120, 2, 84},
-                                {2, 7, 1, 16384, 5120, 2, 84},
-                                {2, 8, 1, 16384, 5120, 2, 84},
-                                {2, 1, 1, 16384, 8192, 2, 84},
-                                {2, 2, 1, 16384, 8192, 2, 84},
-                                {2, 3, 1, 16384, 8192, 2, 84},
-                                {2, 4, 1, 16384, 8192, 2, 84},
-                                {2, 5, 1, 16384, 8192, 2, 84},
-                                {2, 6, 1, 16384, 8192, 2, 84},
-                                {2, 7, 1, 16384, 8192, 2, 84},
-                                {2, 8, 1, 16384, 8192, 2, 84},
-                                {2, 1, 1, 16384, 12288, 2, 84},
-                                {2, 2, 1, 16384, 12288, 2, 84},
-                                {2, 3, 1, 16384, 12288, 2, 84},
-                                {2, 4, 1, 16384, 12288, 2, 84},
-                                {2, 5, 1, 16384, 12288, 2, 84},
-                                {2, 6, 1, 16384, 12288, 2, 84},
-                                {2, 7, 1, 16384, 12288, 2, 84},
-                                {2, 8, 1, 16384, 12288, 2, 84},
-                                {2, 1, 1, 16384, 14336, 2, 84},
-                                {2, 2, 1, 16384, 14336, 2, 84},
-                                {2, 3, 1, 16384, 14336, 2, 84},
-                                {2, 4, 1, 16384, 14336, 2, 84},
-                                {2, 5, 1, 16384, 14336, 2, 84},
-                                {2, 6, 1, 16384, 14336, 2, 84},
-                                {2, 7, 1, 16384, 14336, 2, 84},
-                                {2, 8, 1, 16384, 14336, 2, 84},
-                                {2, 1, 1, 16384, 16384, 2, 84},
-                                {2, 2, 1, 16384, 16384, 2, 84},
-                                {2, 3, 1, 16384, 16384, 2, 84},
-                                {2, 4, 1, 16384, 16384, 2, 84},
-                                {2, 5, 1, 16384, 16384, 2, 84},
-                                {2, 6, 1, 16384, 16384, 2, 84},
-                                {2, 7, 1, 16384, 16384, 2, 84},
-                                {2, 8, 1, 16384, 16384, 2, 84},
-                                {2, 1, 1, 16384, 24576, 2, 84},
-                                {2, 2, 1, 16384, 24576, 2, 84},
-                                {2, 3, 1, 16384, 24576, 2, 84},
-                                {2, 4, 1, 16384, 24576, 2, 84},
-                                {2, 5, 1, 16384, 24576, 2, 84},
-                                {2, 6, 1, 16384, 24576, 2, 84},
-                                {2, 7, 1, 16384, 24576, 2, 84},
-                                {2, 8, 1, 16384, 24576, 2, 84},
-                                {2, 1, 1, 16384, 51200, 2, 84},
-                                {2, 2, 1, 16384, 51200, 2, 84},
-                                {2, 3, 1, 16384, 51200, 2, 84},
-                                {2, 4, 1, 16384, 51200, 2, 84},
-                                {2, 5, 1, 16384, 51200, 2, 84},
-                                {2, 6, 1, 16384, 51200, 2, 84},
-                                {2, 7, 1, 16384, 51200, 2, 84},
-                                {2, 8, 1, 16384, 51200, 2, 84},
-                                {2, 1, 1, 16384, 128000, 2, 84},
-                                {2, 2, 1, 16384, 128000, 2, 84},
-                                {2, 3, 1, 16384, 128000, 2, 84},
-                                {2, 4, 1, 16384, 128000, 2, 84},
-                                {2, 5, 1, 16384, 128000, 2, 84},
-                                {2, 6, 1, 16384, 128000, 2, 84},
-                                {2, 7, 1, 16384, 128000, 2, 84},
-                                {2, 8, 1, 16384, 128000, 2, 84},
-                                {2, 1, 1, 24576, 128, 2, 20},
-                                {2, 2, 1, 24576, 128, 2, 20},
-                                {2, 3, 1, 24576, 128, 2, 24},
-                                {2, 4, 1, 24576, 128, 2, 20},
-                                {2, 5, 1, 24576, 128, 2, 22},
-                                {2, 6, 1, 24576, 128, 2, 22},
-                                {2, 7, 1, 24576, 128, 2, 24},
-                                {2, 8, 1, 24576, 128, 2, 22},
-                                {2, 1, 1, 24576, 256, 2, 42},
-                                {2, 2, 1, 24576, 256, 2, 42},
-                                {2, 3, 1, 24576, 256, 2, 42},
-                                {2, 4, 1, 24576, 256, 2, 36},
-                                {2, 5, 1, 24576, 256, 2, 44},
-                                {2, 6, 1, 24576, 256, 2, 44},
-                                {2, 7, 1, 24576, 256, 2, 48},
-                                {2, 8, 1, 24576, 256, 2, 48},
-                                {2, 1, 1, 24576, 512, 2, 80},
-                                {2, 2, 1, 24576, 512, 2, 72},
-                                {2, 3, 1, 24576, 512, 2, 84},
-                                {2, 4, 1, 24576, 512, 2, 72},
-                                {2, 5, 1, 24576, 512, 2, 84},
-                                {2, 6, 1, 24576, 512, 2, 84},
-                                {2, 7, 1, 24576, 512, 2, 84},
-                                {2, 8, 1, 24576, 512, 2, 84},
-                                {2, 1, 1, 24576, 1024, 2, 84},
-                                {2, 2, 1, 24576, 1024, 2, 84},
-                                {2, 3, 1, 24576, 1024, 2, 84},
-                                {2, 4, 1, 24576, 1024, 2, 84},
-                                {2, 5, 1, 24576, 1024, 2, 84},
-                                {2, 6, 1, 24576, 1024, 2, 84},
-                                {2, 7, 1, 24576, 1024, 2, 84},
-                                {2, 8, 1, 24576, 1024, 2, 84},
-                                {2, 1, 1, 24576, 2048, 2, 84},
-                                {2, 2, 1, 24576, 2048, 2, 84},
-                                {2, 3, 1, 24576, 2048, 2, 84},
-                                {2, 4, 1, 24576, 2048, 2, 84},
-                                {2, 5, 1, 24576, 2048, 2, 84},
-                                {2, 6, 1, 24576, 2048, 2, 84},
-                                {2, 7, 1, 24576, 2048, 2, 84},
-                                {2, 8, 1, 24576, 2048, 2, 84},
-                                {2, 1, 1, 24576, 3072, 2, 84},
-                                {2, 2, 1, 24576, 3072, 2, 84},
-                                {2, 3, 1, 24576, 3072, 2, 84},
-                                {2, 4, 1, 24576, 3072, 2, 84},
-                                {2, 5, 1, 24576, 3072, 2, 84},
-                                {2, 6, 1, 24576, 3072, 2, 84},
-                                {2, 7, 1, 24576, 3072, 2, 84},
-                                {2, 8, 1, 24576, 3072, 2, 84},
-                                {2, 1, 1, 24576, 4096, 2, 84},
-                                {2, 2, 1, 24576, 4096, 2, 84},
-                                {2, 3, 1, 24576, 4096, 2, 84},
-                                {2, 4, 1, 24576, 4096, 2, 84},
-                                {2, 5, 1, 24576, 4096, 2, 84},
-                                {2, 6, 1, 24576, 4096, 2, 84},
-                                {2, 7, 1, 24576, 4096, 2, 84},
-                                {2, 8, 1, 24576, 4096, 2, 84},
-                                {2, 1, 1, 24576, 5120, 2, 84},
-                                {2, 2, 1, 24576, 5120, 2, 84},
-                                {2, 3, 1, 24576, 5120, 2, 84},
-                                {2, 4, 1, 24576, 5120, 2, 84},
-                                {2, 5, 1, 24576, 5120, 2, 84},
-                                {2, 6, 1, 24576, 5120, 2, 84},
-                                {2, 7, 1, 24576, 5120, 2, 84},
-                                {2, 8, 1, 24576, 5120, 2, 84},
-                                {2, 1, 1, 24576, 8192, 2, 84},
-                                {2, 2, 1, 24576, 8192, 2, 84},
-                                {2, 3, 1, 24576, 8192, 2, 84},
-                                {2, 4, 1, 24576, 8192, 2, 84},
-                                {2, 5, 1, 24576, 8192, 2, 84},
-                                {2, 6, 1, 24576, 8192, 2, 84},
-                                {2, 7, 1, 24576, 8192, 2, 84},
-                                {2, 8, 1, 24576, 8192, 2, 84},
-                                {2, 1, 1, 24576, 12288, 2, 84},
-                                {2, 2, 1, 24576, 12288, 2, 84},
-                                {2, 3, 1, 24576, 12288, 2, 84},
-                                {2, 4, 1, 24576, 12288, 2, 84},
-                                {2, 5, 1, 24576, 12288, 2, 84},
-                                {2, 6, 1, 24576, 12288, 2, 84},
-                                {2, 7, 1, 24576, 12288, 2, 84},
-                                {2, 8, 1, 24576, 12288, 2, 84},
-                                {2, 1, 1, 24576, 14336, 2, 84},
-                                {2, 2, 1, 24576, 14336, 2, 84},
-                                {2, 3, 1, 24576, 14336, 2, 84},
-                                {2, 4, 1, 24576, 14336, 2, 84},
-                                {2, 5, 1, 24576, 14336, 2, 84},
-                                {2, 6, 1, 24576, 14336, 2, 84},
-                                {2, 7, 1, 24576, 14336, 2, 84},
-                                {2, 8, 1, 24576, 14336, 2, 84},
-                                {2, 1, 1, 24576, 16384, 2, 84},
-                                {2, 2, 1, 24576, 16384, 2, 84},
-                                {2, 3, 1, 24576, 16384, 2, 84},
-                                {2, 4, 1, 24576, 16384, 2, 84},
-                                {2, 5, 1, 24576, 16384, 2, 84},
-                                {2, 6, 1, 24576, 16384, 2, 84},
-                                {2, 7, 1, 24576, 16384, 2, 84},
-                                {2, 8, 1, 24576, 16384, 2, 84},
-                                {2, 1, 1, 24576, 24576, 2, 84},
-                                {2, 2, 1, 24576, 24576, 2, 84},
-                                {2, 3, 1, 24576, 24576, 2, 84},
-                                {2, 4, 1, 24576, 24576, 2, 84},
-                                {2, 5, 1, 24576, 24576, 2, 84},
-                                {2, 6, 1, 24576, 24576, 2, 84},
-                                {2, 7, 1, 24576, 24576, 2, 84},
-                                {2, 8, 1, 24576, 24576, 2, 84},
-                                {2, 1, 1, 24576, 51200, 2, 84},
-                                {2, 2, 1, 24576, 51200, 2, 84},
-                                {2, 3, 1, 24576, 51200, 2, 84},
-                                {2, 4, 1, 24576, 51200, 2, 84},
-                                {2, 5, 1, 24576, 51200, 2, 84},
-                                {2, 6, 1, 24576, 51200, 2, 84},
-                                {2, 7, 1, 24576, 51200, 2, 84},
-                                {2, 8, 1, 24576, 51200, 2, 84},
-                                {2, 1, 1, 24576, 128000, 2, 84},
-                                {2, 2, 1, 24576, 128000, 2, 84},
-                                {2, 3, 1, 24576, 128000, 2, 84},
-                                {2, 4, 1, 24576, 128000, 2, 84},
-                                {2, 5, 1, 24576, 128000, 2, 84},
-                                {2, 6, 1, 24576, 128000, 2, 84},
-                                {2, 7, 1, 24576, 128000, 2, 84},
-                                {2, 8, 1, 24576, 128000, 2, 84},
-                                {0, 0, 0, 0, 0, 0, 0}};
-
-struct TSample samples_256[] = {{4, 1, 1, 128, 256, 1, 4},
-                                {4, 2, 1, 128, 256, 1, 4},
-                                {4, 3, 1, 128, 256, 1, 4},
-                                {4, 4, 1, 128, 256, 2, 2},
-                                {4, 5, 1, 128, 256, 1, 2},
-                                {4, 6, 1, 128, 256, 1, 4},
-                                {4, 7, 1, 128, 256, 1, 4},
-                                {4, 8, 1, 128, 256, 1, 4},
-                                {4, 1, 1, 128, 512, 1, 4},
-                                {4, 2, 1, 128, 512, 1, 8},
-                                {4, 3, 1, 128, 512, 2, 4},
-                                {4, 4, 1, 128, 512, 2, 4},
-                                {4, 5, 1, 128, 512, 2, 8},
-                                {4, 6, 1, 128, 512, 1, 8},
-                                {4, 7, 1, 128, 512, 1, 8},
-                                {4, 8, 1, 128, 512, 2, 4},
-                                {4, 1, 1, 128, 1024, 1, 16},
-                                {4, 2, 1, 128, 1024, 1, 16},
-                                {4, 3, 1, 128, 1024, 2, 8},
-                                {4, 4, 1, 128, 1024, 2, 8},
-                                {4, 5, 1, 128, 1024, 1, 16},
-                                {4, 6, 1, 128, 1024, 2, 8},
-                                {4, 7, 1, 128, 1024, 1, 8},
-                                {4, 8, 1, 128, 1024, 1, 16},
-                                {4, 1, 1, 128, 2048, 2, 16},
-                                {4, 2, 1, 128, 2048, 1, 16},
-                                {4, 3, 1, 128, 2048, 1, 16},
-                                {4, 4, 1, 128, 2048, 2, 16},
-                                {4, 5, 1, 128, 2048, 1, 32},
-                                {4, 6, 1, 128, 2048, 1, 32},
-                                {4, 7, 1, 128, 2048, 2, 128},
-                                {4, 8, 1, 128, 2048, 1, 32},
-                                {4, 1, 1, 128, 3072, 1, 32},
-                                {4, 2, 1, 128, 3072, 1, 48},
-                                {4, 3, 1, 128, 3072, 1, 24},
-                                {4, 4, 1, 128, 3072, 1, 24},
-                                {4, 5, 1, 128, 3072, 1, 48},
-                                {4, 6, 1, 128, 3072, 1, 48},
-                                {4, 7, 1, 128, 3072, 1, 50},
-                                {4, 8, 1, 128, 3072, 1, 48},
-                                {4, 1, 1, 128, 4096, 1, 64},
-                                {4, 2, 1, 128, 4096, 2, 32},
-                                {4, 3, 1, 128, 4096, 2, 32},
-                                {4, 4, 1, 128, 4096, 1, 64},
-                                {4, 5, 1, 128, 4096, 1, 64},
-                                {4, 6, 1, 128, 4096, 1, 64},
-                                {4, 7, 1, 128, 4096, 2, 92},
-                                {4, 8, 1, 128, 4096, 1, 64},
-                                {4, 1, 1, 128, 5120, 1, 80},
-                                {4, 2, 1, 128, 5120, 1, 40},
-                                {4, 3, 1, 128, 5120, 1, 40},
-                                {4, 4, 1, 128, 5120, 2, 40},
-                                {4, 5, 1, 128, 5120, 1, 80},
-                                {4, 6, 1, 128, 5120, 1, 60},
-                                {4, 7, 1, 128, 5120, 2, 48},
-                                {4, 8, 1, 128, 5120, 1, 80},
-                                {4, 1, 1, 128, 8192, 1, 64},
-                                {4, 2, 1, 128, 8192, 2, 64},
-                                {4, 3, 1, 128, 8192, 1, 64},
-                                {4, 4, 1, 128, 8192, 2, 64},
-                                {4, 5, 1, 128, 8192, 2, 152},
-                                {4, 6, 1, 128, 8192, 1, 64},
-                                {4, 7, 1, 128, 8192, 1, 116},
-                                {4, 8, 1, 128, 8192, 1, 64},
-                                {4, 1, 1, 128, 12288, 2, 96},
-                                {4, 2, 1, 128, 12288, 1, 96},
-                                {4, 3, 1, 128, 12288, 2, 162},
-                                {4, 4, 1, 128, 12288, 1, 96},
-                                {4, 5, 1, 128, 12288, 2, 146},
-                                {4, 6, 1, 128, 12288, 1, 152},
-                                {4, 7, 1, 128, 12288, 1, 164},
-                                {4, 8, 1, 128, 12288, 1, 96},
-                                {4, 1, 1, 128, 14336, 2, 112},
-                                {4, 2, 1, 128, 14336, 1, 112},
-                                {4, 3, 1, 128, 14336, 2, 112},
-                                {4, 4, 1, 128, 14336, 1, 112},
-                                {4, 5, 1, 128, 14336, 1, 134},
-                                {4, 6, 1, 128, 14336, 1, 144},
-                                {4, 7, 1, 128, 14336, 1, 166},
-                                {4, 8, 1, 128, 14336, 1, 112},
-                                {4, 1, 1, 128, 16384, 1, 128},
-                                {4, 2, 1, 128, 16384, 1, 128},
-                                {4, 3, 1, 128, 16384, 2, 128},
-                                {4, 4, 1, 128, 16384, 2, 128},
-                                {4, 5, 1, 128, 16384, 2, 108},
-                                {4, 6, 1, 128, 16384, 1, 118},
-                                {4, 7, 1, 128, 16384, 1, 158},
-                                {4, 8, 1, 128, 16384, 1, 128},
-                                {4, 1, 1, 128, 24576, 2, 146},
-                                {4, 2, 1, 128, 24576, 2, 96},
-                                {4, 3, 1, 128, 24576, 2, 144},
-                                {4, 4, 1, 128, 24576, 1, 164},
-                                {4, 5, 1, 128, 24576, 1, 170},
-                                {4, 6, 1, 128, 24576, 2, 152},
-                                {4, 7, 1, 128, 24576, 1, 158},
-                                {4, 8, 1, 128, 24576, 1, 156},
-                                {4, 1, 1, 128, 51200, 2, 156},
-                                {4, 2, 1, 128, 51200, 2, 152},
-                                {4, 3, 1, 128, 51200, 2, 160},
-                                {4, 4, 1, 128, 51200, 2, 152},
-                                {4, 5, 1, 128, 51200, 2, 152},
-                                {4, 6, 1, 128, 51200, 2, 152},
-                                {4, 7, 1, 128, 51200, 1, 160},
-                                {4, 8, 1, 128, 51200, 1, 160},
-                                {4, 1, 1, 128, 128000, 3, 170},
-                                {4, 2, 1, 128, 128000, 2, 160},
-                                {4, 3, 1, 128, 128000, 2, 170},
-                                {4, 4, 1, 128, 128000, 2, 166},
-                                {4, 5, 1, 128, 128000, 3, 168},
-                                {4, 6, 1, 128, 128000, 2, 166},
-                                {4, 7, 1, 128, 128000, 3, 168},
-                                {4, 8, 1, 128, 128000, 2, 144},
-                                {4, 1, 1, 256, 256, 2, 8},
-                                {4, 2, 1, 256, 256, 2, 2},
-                                {4, 3, 1, 256, 256, 2, 4},
-                                {4, 4, 1, 256, 256, 1, 8},
-                                {4, 5, 1, 256, 256, 1, 4},
-                                {4, 6, 1, 256, 256, 1, 8},
-                                {4, 7, 1, 256, 256, 1, 4},
-                                {4, 8, 1, 256, 256, 2, 4},
-                                {4, 1, 1, 256, 512, 2, 14},
-                                {4, 2, 1, 256, 512, 1, 6},
-                                {4, 3, 1, 256, 512, 2, 16},
-                                {4, 4, 1, 256, 512, 2, 4},
-                                {4, 5, 1, 256, 512, 1, 12},
-                                {4, 6, 1, 256, 512, 1, 8},
-                                {4, 7, 1, 256, 512, 2, 12},
-                                {4, 8, 1, 256, 512, 1, 16},
-                                {4, 1, 1, 256, 1024, 2, 10},
-                                {4, 2, 1, 256, 1024, 1, 18},
-                                {4, 3, 1, 256, 1024, 2, 8},
-                                {4, 4, 1, 256, 1024, 2, 16},
-                                {4, 5, 1, 256, 1024, 2, 12},
-                                {4, 6, 1, 256, 1024, 2, 18},
-                                {4, 7, 1, 256, 1024, 2, 16},
-                                {4, 8, 1, 256, 1024, 2, 8},
-                                {4, 1, 1, 256, 2048, 1, 20},
-                                {4, 2, 1, 256, 2048, 1, 26},
-                                {4, 3, 1, 256, 2048, 2, 24},
-                                {4, 4, 1, 256, 2048, 1, 32},
-                                {4, 5, 1, 256, 2048, 2, 42},
-                                {4, 6, 1, 256, 2048, 1, 42},
-                                {4, 7, 1, 256, 2048, 2, 32},
-                                {4, 8, 1, 256, 2048, 1, 30},
-                                {4, 1, 1, 256, 3072, 1, 76},
-                                {4, 2, 1, 256, 3072, 2, 32},
-                                {4, 3, 1, 256, 3072, 2, 42},
-                                {4, 4, 1, 256, 3072, 1, 66},
-                                {4, 5, 1, 256, 3072, 2, 48},
-                                {4, 6, 1, 256, 3072, 2, 42},
-                                {4, 7, 1, 256, 3072, 2, 54},
-                                {4, 8, 1, 256, 3072, 2, 48},
-                                {4, 1, 1, 256, 4096, 2, 80},
-                                {4, 2, 1, 256, 4096, 1, 82},
-                                {4, 3, 1, 256, 4096, 1, 96},
-                                {4, 4, 1, 256, 4096, 2, 64},
-                                {4, 5, 1, 256, 4096, 2, 64},
-                                {4, 6, 1, 256, 4096, 2, 70},
-                                {4, 7, 1, 256, 4096, 1, 64},
-                                {4, 8, 1, 256, 4096, 1, 64},
-                                {4, 1, 1, 256, 5120, 2, 98},
-                                {4, 2, 1, 256, 5120, 2, 92},
-                                {4, 3, 1, 256, 5120, 2, 62},
-                                {4, 4, 1, 256, 5120, 2, 112},
-                                {4, 5, 1, 256, 5120, 1, 114},
-                                {4, 6, 1, 256, 5120, 2, 84},
-                                {4, 7, 1, 256, 5120, 1, 80},
-                                {4, 8, 1, 256, 5120, 1, 130},
-                                {4, 1, 1, 256, 8192, 2, 112},
-                                {4, 2, 1, 256, 8192, 2, 96},
-                                {4, 3, 1, 256, 8192, 2, 152},
-                                {4, 4, 1, 256, 8192, 2, 160},
-                                {4, 5, 1, 256, 8192, 2, 152},
-                                {4, 6, 1, 256, 8192, 1, 144},
-                                {4, 7, 1, 256, 8192, 2, 128},
-                                {4, 8, 1, 256, 8192, 1, 126},
-                                {4, 1, 1, 256, 12288, 2, 152},
-                                {4, 2, 1, 256, 12288, 2, 160},
-                                {4, 3, 1, 256, 12288, 2, 138},
-                                {4, 4, 1, 256, 12288, 1, 146},
-                                {4, 5, 1, 256, 12288, 2, 156},
-                                {4, 6, 1, 256, 12288, 1, 158},
-                                {4, 7, 1, 256, 12288, 1, 170},
-                                {4, 8, 1, 256, 12288, 1, 144},
-                                {4, 1, 1, 256, 14336, 2, 156},
-                                {4, 2, 1, 256, 14336, 2, 132},
-                                {4, 3, 1, 256, 14336, 2, 160},
-                                {4, 4, 1, 256, 14336, 2, 158},
-                                {4, 5, 1, 256, 14336, 1, 168},
-                                {4, 6, 1, 256, 14336, 1, 168},
-                                {4, 7, 1, 256, 14336, 2, 112},
-                                {4, 8, 1, 256, 14336, 1, 156},
-                                {4, 1, 1, 256, 16384, 2, 154},
-                                {4, 2, 1, 256, 16384, 2, 158},
-                                {4, 3, 1, 256, 16384, 2, 150},
-                                {4, 4, 1, 256, 16384, 1, 170},
-                                {4, 5, 1, 256, 16384, 1, 164},
-                                {4, 6, 1, 256, 16384, 1, 166},
-                                {4, 7, 1, 256, 16384, 1, 170},
-                                {4, 8, 1, 256, 16384, 1, 128},
-                                {4, 1, 1, 256, 24576, 2, 168},
-                                {4, 2, 1, 256, 24576, 2, 168},
-                                {4, 3, 1, 256, 24576, 2, 168},
-                                {4, 4, 1, 256, 24576, 2, 168},
-                                {4, 5, 1, 256, 24576, 2, 144},
-                                {4, 6, 1, 256, 24576, 2, 136},
-                                {4, 7, 1, 256, 24576, 2, 168},
-                                {4, 8, 1, 256, 24576, 1, 164},
-                                {4, 1, 1, 256, 51200, 2, 156},
-                                {4, 2, 1, 256, 51200, 2, 152},
-                                {4, 3, 1, 256, 51200, 2, 156},
-                                {4, 4, 1, 256, 51200, 2, 152},
-                                {4, 5, 1, 256, 51200, 2, 160},
-                                {4, 6, 1, 256, 51200, 2, 160},
-                                {4, 7, 1, 256, 51200, 2, 168},
-                                {4, 8, 1, 256, 51200, 2, 168},
-                                {4, 1, 1, 256, 128000, 3, 168},
-                                {4, 2, 1, 256, 128000, 2, 168},
-                                {4, 3, 1, 256, 128000, 3, 170},
-                                {4, 4, 1, 256, 128000, 2, 170},
-                                {4, 5, 1, 256, 128000, 3, 168},
-                                {4, 6, 1, 256, 128000, 3, 164},
-                                {4, 7, 1, 256, 128000, 3, 162},
-                                {4, 8, 1, 256, 128000, 2, 168},
-                                {4, 1, 1, 512, 256, 2, 6},
-                                {4, 2, 1, 512, 256, 2, 6},
-                                {4, 3, 1, 512, 256, 2, 4},
-                                {4, 4, 1, 512, 256, 2, 6},
-                                {4, 5, 1, 512, 256, 2, 4},
-                                {4, 6, 1, 512, 256, 2, 4},
-                                {4, 7, 1, 512, 256, 2, 10},
-                                {4, 8, 1, 512, 256, 2, 4},
-                                {4, 1, 1, 512, 512, 2, 12},
-                                {4, 2, 1, 512, 512, 2, 12},
-                                {4, 3, 1, 512, 512, 2, 8},
-                                {4, 4, 1, 512, 512, 2, 12},
-                                {4, 5, 1, 512, 512, 2, 12},
-                                {4, 6, 1, 512, 512, 1, 16},
-                                {4, 7, 1, 512, 512, 2, 14},
-                                {4, 8, 1, 512, 512, 2, 8},
-                                {4, 1, 1, 512, 1024, 1, 24},
-                                {4, 2, 1, 512, 1024, 1, 24},
-                                {4, 3, 1, 512, 1024, 2, 24},
-                                {4, 4, 1, 512, 1024, 2, 24},
-                                {4, 5, 1, 512, 1024, 2, 24},
-                                {4, 6, 1, 512, 1024, 1, 32},
-                                {4, 7, 1, 512, 1024, 2, 42},
-                                {4, 8, 1, 512, 1024, 1, 24},
-                                {4, 1, 1, 512, 2048, 1, 48},
-                                {4, 2, 1, 512, 2048, 2, 32},
-                                {4, 3, 1, 512, 2048, 2, 32},
-                                {4, 4, 1, 512, 2048, 2, 32},
-                                {4, 5, 1, 512, 2048, 2, 32},
-                                {4, 6, 1, 512, 2048, 2, 48},
-                                {4, 7, 1, 512, 2048, 1, 46},
-                                {4, 8, 1, 512, 2048, 2, 48},
-                                {4, 1, 1, 512, 3072, 2, 48},
-                                {4, 2, 1, 512, 3072, 2, 48},
-                                {4, 3, 1, 512, 3072, 2, 48},
-                                {4, 4, 1, 512, 3072, 2, 48},
-                                {4, 5, 1, 512, 3072, 2, 48},
-                                {4, 6, 1, 512, 3072, 2, 48},
-                                {4, 7, 1, 512, 3072, 2, 96},
-                                {4, 8, 1, 512, 3072, 2, 72},
-                                {4, 1, 1, 512, 4096, 2, 64},
-                                {4, 2, 1, 512, 4096, 2, 64},
-                                {4, 3, 1, 512, 4096, 2, 64},
-                                {4, 4, 1, 512, 4096, 2, 64},
-                                {4, 5, 1, 512, 4096, 2, 64},
-                                {4, 6, 1, 512, 4096, 2, 64},
-                                {4, 7, 1, 512, 4096, 1, 126},
-                                {4, 8, 1, 512, 4096, 2, 64},
-                                {4, 1, 1, 512, 5120, 1, 120},
-                                {4, 2, 1, 512, 5120, 1, 120},
-                                {4, 3, 1, 512, 5120, 2, 80},
-                                {4, 4, 1, 512, 5120, 2, 80},
-                                {4, 5, 1, 512, 5120, 2, 80},
-                                {4, 6, 1, 512, 5120, 1, 120},
-                                {4, 7, 1, 512, 5120, 1, 124},
-                                {4, 8, 1, 512, 5120, 1, 120},
-                                {4, 1, 1, 512, 8192, 2, 128},
-                                {4, 2, 1, 512, 8192, 2, 128},
-                                {4, 3, 1, 512, 8192, 2, 128},
-                                {4, 4, 1, 512, 8192, 2, 128},
-                                {4, 5, 1, 512, 8192, 2, 152},
-                                {4, 6, 1, 512, 8192, 1, 128},
-                                {4, 7, 1, 512, 8192, 1, 156},
-                                {4, 8, 1, 512, 8192, 1, 144},
-                                {4, 1, 1, 512, 12288, 2, 170},
-                                {4, 2, 1, 512, 12288, 2, 160},
-                                {4, 3, 1, 512, 12288, 2, 132},
-                                {4, 4, 1, 512, 12288, 2, 152},
-                                {4, 5, 1, 512, 12288, 2, 152},
-                                {4, 6, 1, 512, 12288, 2, 128},
-                                {4, 7, 1, 512, 12288, 2, 156},
-                                {4, 8, 1, 512, 12288, 2, 152},
-                                {4, 1, 1, 512, 14336, 2, 112},
-                                {4, 2, 1, 512, 14336, 1, 152},
-                                {4, 3, 1, 512, 14336, 2, 120},
-                                {4, 4, 1, 512, 14336, 2, 112},
-                                {4, 5, 1, 512, 14336, 2, 156},
-                                {4, 6, 1, 512, 14336, 2, 156},
-                                {4, 7, 1, 512, 14336, 2, 168},
-                                {4, 8, 1, 512, 14336, 1, 170},
-                                {4, 1, 1, 512, 16384, 2, 166},
-                                {4, 2, 1, 512, 16384, 2, 160},
-                                {4, 3, 1, 512, 16384, 1, 156},
-                                {4, 4, 1, 512, 16384, 2, 136},
-                                {4, 5, 1, 512, 16384, 2, 160},
-                                {4, 6, 1, 512, 16384, 2, 156},
-                                {4, 7, 1, 512, 16384, 2, 162},
-                                {4, 8, 1, 512, 16384, 1, 164},
-                                {4, 1, 1, 512, 24576, 3, 166},
-                                {4, 2, 1, 512, 24576, 2, 168},
-                                {4, 3, 1, 512, 24576, 3, 144},
-                                {4, 4, 1, 512, 24576, 2, 168},
-                                {4, 5, 1, 512, 24576, 2, 168},
-                                {4, 6, 1, 512, 24576, 2, 168},
-                                {4, 7, 1, 512, 24576, 2, 168},
-                                {4, 8, 1, 512, 24576, 1, 168},
-                                {4, 1, 1, 512, 51200, 3, 170},
-                                {4, 2, 1, 512, 51200, 2, 164},
-                                {4, 3, 1, 512, 51200, 2, 160},
-                                {4, 4, 1, 512, 51200, 2, 170},
-                                {4, 5, 1, 512, 51200, 3, 168},
-                                {4, 6, 1, 512, 51200, 3, 160},
-                                {4, 7, 1, 512, 51200, 3, 170},
-                                {4, 8, 1, 512, 51200, 1, 168},
-                                {4, 1, 1, 512, 128000, 3, 170},
-                                {4, 2, 1, 512, 128000, 2, 170},
-                                {4, 3, 1, 512, 128000, 3, 170},
-                                {4, 4, 1, 512, 128000, 3, 170},
-                                {4, 5, 1, 512, 128000, 3, 166},
-                                {4, 6, 1, 512, 128000, 3, 164},
-                                {4, 7, 1, 512, 128000, 3, 170},
-                                {4, 8, 1, 512, 128000, 2, 156},
-                                {4, 1, 1, 1024, 256, 2, 8},
-                                {4, 2, 1, 1024, 256, 2, 4},
-                                {4, 3, 1, 1024, 256, 2, 8},
-                                {4, 4, 1, 1024, 256, 2, 6},
-                                {4, 5, 1, 1024, 256, 2, 8},
-                                {4, 6, 1, 1024, 256, 2, 10},
-                                {4, 7, 1, 1024, 256, 2, 8},
-                                {4, 8, 1, 1024, 256, 1, 10},
-                                {4, 1, 1, 1024, 512, 1, 16},
-                                {4, 2, 1, 1024, 512, 2, 16},
-                                {4, 3, 1, 1024, 512, 2, 14},
-                                {4, 4, 1, 1024, 512, 2, 12},
-                                {4, 5, 1, 1024, 512, 2, 16},
-                                {4, 6, 1, 1024, 512, 2, 16},
-                                {4, 7, 1, 1024, 512, 2, 16},
-                                {4, 8, 1, 1024, 512, 2, 12},
-                                {4, 1, 1, 1024, 1024, 2, 24},
-                                {4, 2, 1, 1024, 1024, 2, 28},
-                                {4, 3, 1, 1024, 1024, 2, 38},
-                                {4, 4, 1, 1024, 1024, 2, 24},
-                                {4, 5, 1, 1024, 1024, 2, 32},
-                                {4, 6, 1, 1024, 1024, 2, 30},
-                                {4, 7, 1, 1024, 1024, 2, 32},
-                                {4, 8, 1, 1024, 1024, 2, 32},
-                                {4, 1, 1, 1024, 2048, 2, 46},
-                                {4, 2, 1, 1024, 2048, 2, 64},
-                                {4, 3, 1, 1024, 2048, 2, 76},
-                                {4, 4, 1, 1024, 2048, 2, 74},
-                                {4, 5, 1, 1024, 2048, 2, 64},
-                                {4, 6, 1, 1024, 2048, 2, 64},
-                                {4, 7, 1, 1024, 2048, 1, 104},
-                                {4, 8, 1, 1024, 2048, 2, 64},
-                                {4, 1, 1, 1024, 3072, 2, 94},
-                                {4, 2, 1, 1024, 3072, 2, 78},
-                                {4, 3, 1, 1024, 3072, 2, 96},
-                                {4, 4, 1, 1024, 3072, 2, 70},
-                                {4, 5, 1, 1024, 3072, 2, 96},
-                                {4, 6, 1, 1024, 3072, 2, 96},
-                                {4, 7, 1, 1024, 3072, 1, 120},
-                                {4, 8, 1, 1024, 3072, 1, 88},
-                                {4, 1, 1, 1024, 4096, 2, 96},
-                                {4, 2, 1, 1024, 4096, 2, 118},
-                                {4, 3, 1, 1024, 4096, 2, 128},
-                                {4, 4, 1, 1024, 4096, 2, 96},
-                                {4, 5, 1, 1024, 4096, 1, 120},
-                                {4, 6, 1, 1024, 4096, 1, 124},
-                                {4, 7, 1, 1024, 4096, 1, 128},
-                                {4, 8, 1, 1024, 4096, 1, 162},
-                                {4, 1, 1, 1024, 5120, 2, 128},
-                                {4, 2, 1, 1024, 5120, 1, 160},
-                                {4, 3, 1, 1024, 5120, 2, 120},
-                                {4, 4, 1, 1024, 5120, 2, 144},
-                                {4, 5, 1, 1024, 5120, 2, 112},
-                                {4, 6, 1, 1024, 5120, 2, 122},
-                                {4, 7, 1, 1024, 5120, 2, 160},
-                                {4, 8, 1, 1024, 5120, 1, 160},
-                                {4, 1, 1, 1024, 8192, 2, 158},
-                                {4, 2, 1, 1024, 8192, 2, 168},
-                                {4, 3, 1, 1024, 8192, 2, 166},
-                                {4, 4, 1, 1024, 8192, 2, 154},
-                                {4, 5, 1, 1024, 8192, 2, 136},
-                                {4, 6, 1, 1024, 8192, 2, 168},
-                                {4, 7, 1, 1024, 8192, 2, 158},
-                                {4, 8, 1, 1024, 8192, 2, 156},
-                                {4, 1, 1, 1024, 12288, 2, 162},
-                                {4, 2, 1, 1024, 12288, 2, 156},
-                                {4, 3, 1, 1024, 12288, 2, 170},
-                                {4, 4, 1, 1024, 12288, 2, 168},
-                                {4, 5, 1, 1024, 12288, 2, 162},
-                                {4, 6, 1, 1024, 12288, 2, 170},
-                                {4, 7, 1, 1024, 12288, 2, 170},
-                                {4, 8, 1, 1024, 12288, 2, 136},
-                                {4, 1, 1, 1024, 14336, 2, 164},
-                                {4, 2, 1, 1024, 14336, 2, 156},
-                                {4, 3, 1, 1024, 14336, 2, 168},
-                                {4, 4, 1, 1024, 14336, 2, 168},
-                                {4, 5, 1, 1024, 14336, 2, 170},
-                                {4, 6, 1, 1024, 14336, 2, 152},
-                                {4, 7, 1, 1024, 14336, 3, 168},
-                                {4, 8, 1, 1024, 14336, 1, 168},
-                                {4, 1, 1, 1024, 16384, 2, 170},
-                                {4, 2, 1, 1024, 16384, 2, 156},
-                                {4, 3, 1, 1024, 16384, 2, 166},
-                                {4, 4, 1, 1024, 16384, 2, 168},
-                                {4, 5, 1, 1024, 16384, 2, 160},
-                                {4, 6, 1, 1024, 16384, 2, 170},
-                                {4, 7, 1, 1024, 16384, 2, 170},
-                                {4, 8, 1, 1024, 16384, 1, 168},
-                                {4, 1, 1, 1024, 24576, 3, 160},
-                                {4, 2, 1, 1024, 24576, 2, 168},
-                                {4, 3, 1, 1024, 24576, 2, 158},
-                                {4, 4, 1, 1024, 24576, 2, 160},
-                                {4, 5, 1, 1024, 24576, 3, 158},
-                                {4, 6, 1, 1024, 24576, 2, 170},
-                                {4, 7, 1, 1024, 24576, 2, 170},
-                                {4, 8, 1, 1024, 24576, 1, 168},
-                                {4, 1, 1, 1024, 51200, 3, 160},
-                                {4, 2, 1, 1024, 51200, 2, 170},
-                                {4, 3, 1, 1024, 51200, 3, 168},
-                                {4, 4, 1, 1024, 51200, 3, 170},
-                                {4, 5, 1, 1024, 51200, 3, 160},
-                                {4, 6, 1, 1024, 51200, 3, 160},
-                                {4, 7, 1, 1024, 51200, 3, 162},
-                                {4, 8, 1, 1024, 51200, 1, 166},
-                                {4, 1, 1, 1024, 128000, 3, 170},
-                                {4, 2, 1, 1024, 128000, 2, 170},
-                                {4, 3, 1, 1024, 128000, 3, 170},
-                                {4, 4, 1, 1024, 128000, 3, 170},
-                                {4, 5, 1, 1024, 128000, 3, 166},
-                                {4, 6, 1, 1024, 128000, 3, 164},
-                                {4, 7, 1, 1024, 128000, 3, 168},
-                                {4, 8, 1, 1024, 128000, 2, 156},
-                                {4, 1, 1, 2048, 256, 1, 10},
-                                {4, 2, 1, 2048, 256, 1, 16},
-                                {4, 3, 1, 2048, 256, 2, 8},
-                                {4, 4, 1, 2048, 256, 2, 10},
-                                {4, 5, 1, 2048, 256, 2, 10},
-                                {4, 6, 1, 2048, 256, 2, 10},
-                                {4, 7, 1, 2048, 256, 2, 8},
-                                {4, 8, 1, 2048, 256, 2, 10},
-                                {4, 1, 1, 2048, 512, 2, 16},
-                                {4, 2, 1, 2048, 512, 1, 24},
-                                {4, 3, 1, 2048, 512, 2, 26},
-                                {4, 4, 1, 2048, 512, 1, 26},
-                                {4, 5, 1, 2048, 512, 2, 24},
-                                {4, 6, 1, 2048, 512, 2, 24},
-                                {4, 7, 1, 2048, 512, 2, 24},
-                                {4, 8, 1, 2048, 512, 2, 24},
-                                {4, 1, 1, 2048, 1024, 2, 30},
-                                {4, 2, 1, 2048, 1024, 2, 36},
-                                {4, 3, 1, 2048, 1024, 2, 48},
-                                {4, 4, 1, 2048, 1024, 2, 54},
-                                {4, 5, 1, 2048, 1024, 2, 40},
-                                {4, 6, 1, 2048, 1024, 2, 48},
-                                {4, 7, 1, 2048, 1024, 2, 48},
-                                {4, 8, 1, 2048, 1024, 2, 48},
-                                {4, 1, 1, 2048, 2048, 2, 76},
-                                {4, 2, 1, 2048, 2048, 2, 96},
-                                {4, 3, 1, 2048, 2048, 2, 74},
-                                {4, 4, 1, 2048, 2048, 2, 62},
-                                {4, 5, 1, 2048, 2048, 2, 76},
-                                {4, 6, 1, 2048, 2048, 1, 80},
-                                {4, 7, 1, 2048, 2048, 2, 80},
-                                {4, 8, 1, 2048, 2048, 2, 72},
-                                {4, 1, 1, 2048, 3072, 2, 114},
-                                {4, 2, 1, 2048, 3072, 2, 140},
-                                {4, 3, 1, 2048, 3072, 2, 120},
-                                {4, 4, 1, 2048, 3072, 2, 112},
-                                {4, 5, 1, 2048, 3072, 1, 144},
-                                {4, 6, 1, 2048, 3072, 2, 136},
-                                {4, 7, 1, 2048, 3072, 2, 112},
-                                {4, 8, 1, 2048, 3072, 2, 104},
-                                {4, 1, 1, 2048, 4096, 2, 124},
-                                {4, 2, 1, 2048, 4096, 2, 158},
-                                {4, 3, 1, 2048, 4096, 2, 120},
-                                {4, 4, 1, 2048, 4096, 1, 160},
-                                {4, 5, 1, 2048, 4096, 2, 160},
-                                {4, 6, 1, 2048, 4096, 2, 148},
-                                {4, 7, 1, 2048, 4096, 2, 126},
-                                {4, 8, 1, 2048, 4096, 1, 160},
-                                {4, 1, 1, 2048, 5120, 2, 160},
-                                {4, 2, 1, 2048, 5120, 2, 160},
-                                {4, 3, 1, 2048, 5120, 2, 158},
-                                {4, 4, 1, 2048, 5120, 2, 152},
-                                {4, 5, 1, 2048, 5120, 2, 160},
-                                {4, 6, 1, 2048, 5120, 2, 160},
-                                {4, 7, 1, 2048, 5120, 2, 160},
-                                {4, 8, 1, 2048, 5120, 1, 160},
-                                {4, 1, 1, 2048, 8192, 2, 160},
-                                {4, 2, 1, 2048, 8192, 2, 170},
-                                {4, 3, 1, 2048, 8192, 2, 170},
-                                {4, 4, 1, 2048, 8192, 2, 170},
-                                {4, 5, 1, 2048, 8192, 2, 168},
-                                {4, 6, 1, 2048, 8192, 2, 170},
-                                {4, 7, 1, 2048, 8192, 2, 170},
-                                {4, 8, 1, 2048, 8192, 1, 160},
-                                {4, 1, 1, 2048, 12288, 2, 168},
-                                {4, 2, 1, 2048, 12288, 2, 170},
-                                {4, 3, 1, 2048, 12288, 2, 168},
-                                {4, 4, 1, 2048, 12288, 2, 164},
-                                {4, 5, 1, 2048, 12288, 2, 170},
-                                {4, 6, 1, 2048, 12288, 2, 164},
-                                {4, 7, 1, 2048, 12288, 3, 144},
-                                {4, 8, 1, 2048, 12288, 1, 162},
-                                {4, 1, 1, 2048, 14336, 3, 168},
-                                {4, 2, 1, 2048, 14336, 2, 170},
-                                {4, 3, 1, 2048, 14336, 2, 168},
-                                {4, 4, 1, 2048, 14336, 2, 168},
-                                {4, 5, 1, 2048, 14336, 3, 164},
-                                {4, 6, 1, 2048, 14336, 2, 168},
-                                {4, 7, 1, 2048, 14336, 2, 164},
-                                {4, 8, 1, 2048, 14336, 1, 168},
-                                {4, 1, 1, 2048, 16384, 2, 166},
-                                {4, 2, 1, 2048, 16384, 2, 170},
-                                {4, 3, 1, 2048, 16384, 2, 168},
-                                {4, 4, 1, 2048, 16384, 2, 168},
-                                {4, 5, 1, 2048, 16384, 3, 160},
-                                {4, 6, 1, 2048, 16384, 2, 170},
-                                {4, 7, 1, 2048, 16384, 3, 128},
-                                {4, 8, 1, 2048, 16384, 1, 168},
-                                {4, 1, 1, 2048, 24576, 3, 168},
-                                {4, 2, 1, 2048, 24576, 2, 170},
-                                {4, 3, 1, 2048, 24576, 3, 170},
-                                {4, 4, 1, 2048, 24576, 2, 168},
-                                {4, 5, 1, 2048, 24576, 3, 162},
-                                {4, 6, 1, 2048, 24576, 2, 160},
-                                {4, 7, 1, 2048, 24576, 3, 166},
-                                {4, 8, 1, 2048, 24576, 1, 168},
-                                {4, 1, 1, 2048, 51200, 3, 170},
-                                {4, 2, 1, 2048, 51200, 2, 170},
-                                {4, 3, 1, 2048, 51200, 3, 170},
-                                {4, 4, 1, 2048, 51200, 3, 170},
-                                {4, 5, 1, 2048, 51200, 3, 168},
-                                {4, 6, 1, 2048, 51200, 3, 160},
-                                {4, 7, 1, 2048, 51200, 3, 162},
-                                {4, 8, 1, 2048, 51200, 2, 150},
-                                {4, 1, 1, 2048, 128000, 3, 170},
-                                {4, 2, 1, 2048, 128000, 2, 170},
-                                {4, 3, 1, 2048, 128000, 3, 170},
-                                {4, 4, 1, 2048, 128000, 3, 170},
-                                {4, 5, 1, 2048, 128000, 3, 164},
-                                {4, 6, 1, 2048, 128000, 3, 170},
-                                {4, 7, 1, 2048, 128000, 3, 166},
-                                {4, 8, 1, 2048, 128000, 3, 156},
-                                {4, 1, 1, 3072, 256, 2, 12},
-                                {4, 2, 1, 3072, 256, 1, 12},
-                                {4, 3, 1, 3072, 256, 2, 16},
-                                {4, 4, 1, 3072, 256, 2, 12},
-                                {4, 5, 1, 3072, 256, 2, 14},
-                                {4, 6, 1, 3072, 256, 2, 12},
-                                {4, 7, 1, 3072, 256, 2, 18},
-                                {4, 8, 1, 3072, 256, 2, 12},
-                                {4, 1, 1, 3072, 512, 1, 24},
-                                {4, 2, 1, 3072, 512, 2, 24},
-                                {4, 3, 1, 3072, 512, 2, 24},
-                                {4, 4, 1, 3072, 512, 2, 24},
-                                {4, 5, 1, 3072, 512, 2, 28},
-                                {4, 6, 1, 3072, 512, 2, 24},
-                                {4, 7, 1, 3072, 512, 2, 38},
-                                {4, 8, 1, 3072, 512, 2, 24},
-                                {4, 1, 1, 3072, 1024, 2, 68},
-                                {4, 2, 1, 3072, 1024, 1, 56},
-                                {4, 3, 1, 3072, 1024, 1, 56},
-                                {4, 4, 1, 3072, 1024, 2, 66},
-                                {4, 5, 1, 3072, 1024, 2, 48},
-                                {4, 6, 1, 3072, 1024, 2, 56},
-                                {4, 7, 1, 3072, 1024, 2, 64},
-                                {4, 8, 1, 3072, 1024, 2, 56},
-                                {4, 1, 1, 3072, 2048, 2, 86},
-                                {4, 2, 1, 3072, 2048, 2, 96},
-                                {4, 3, 1, 3072, 2048, 2, 90},
-                                {4, 4, 1, 3072, 2048, 2, 128},
-                                {4, 5, 1, 3072, 2048, 2, 124},
-                                {4, 6, 1, 3072, 2048, 2, 98},
-                                {4, 7, 1, 3072, 2048, 2, 112},
-                                {4, 8, 1, 3072, 2048, 1, 126},
-                                {4, 1, 1, 3072, 3072, 1, 162},
-                                {4, 2, 1, 3072, 3072, 2, 96},
-                                {4, 3, 1, 3072, 3072, 2, 112},
-                                {4, 4, 1, 3072, 3072, 2, 136},
-                                {4, 5, 1, 3072, 3072, 1, 136},
-                                {4, 6, 1, 3072, 3072, 1, 156},
-                                {4, 7, 1, 3072, 3072, 1, 158},
-                                {4, 8, 1, 3072, 3072, 1, 156},
-                                {4, 1, 1, 3072, 4096, 2, 136},
-                                {4, 2, 1, 3072, 4096, 2, 160},
-                                {4, 3, 1, 3072, 4096, 2, 160},
-                                {4, 4, 1, 3072, 4096, 2, 152},
-                                {4, 5, 1, 3072, 4096, 2, 160},
-                                {4, 6, 1, 3072, 4096, 2, 160},
-                                {4, 7, 1, 3072, 4096, 2, 160},
-                                {4, 8, 1, 3072, 4096, 1, 160},
-                                {4, 1, 1, 3072, 5120, 2, 160},
-                                {4, 2, 1, 3072, 5120, 2, 152},
-                                {4, 3, 1, 3072, 5120, 2, 152},
-                                {4, 4, 1, 3072, 5120, 2, 160},
-                                {4, 5, 1, 3072, 5120, 2, 160},
-                                {4, 6, 1, 3072, 5120, 2, 160},
-                                {4, 7, 1, 3072, 5120, 2, 162},
-                                {4, 8, 1, 3072, 5120, 1, 160},
-                                {4, 1, 1, 3072, 8192, 2, 164},
-                                {4, 2, 1, 3072, 8192, 2, 158},
-                                {4, 3, 1, 3072, 8192, 2, 164},
-                                {4, 4, 1, 3072, 8192, 2, 164},
-                                {4, 5, 1, 3072, 8192, 2, 170},
-                                {4, 6, 1, 3072, 8192, 2, 160},
-                                {4, 7, 1, 3072, 8192, 2, 166},
-                                {4, 8, 1, 3072, 8192, 1, 160},
-                                {4, 1, 1, 3072, 12288, 2, 170},
-                                {4, 2, 1, 3072, 12288, 2, 168},
-                                {4, 3, 1, 3072, 12288, 2, 168},
-                                {4, 4, 1, 3072, 12288, 2, 168},
-                                {4, 5, 1, 3072, 12288, 2, 168},
-                                {4, 6, 1, 3072, 12288, 3, 144},
-                                {4, 7, 1, 3072, 12288, 3, 144},
-                                {4, 8, 1, 3072, 12288, 1, 168},
-                                {4, 1, 1, 3072, 14336, 3, 168},
-                                {4, 2, 1, 3072, 14336, 2, 170},
-                                {4, 3, 1, 3072, 14336, 2, 170},
-                                {4, 4, 1, 3072, 14336, 2, 168},
-                                {4, 5, 1, 3072, 14336, 3, 168},
-                                {4, 6, 1, 3072, 14336, 2, 168},
-                                {4, 7, 1, 3072, 14336, 3, 168},
-                                {4, 8, 1, 3072, 14336, 1, 168},
-                                {4, 1, 1, 3072, 16384, 3, 168},
-                                {4, 2, 1, 3072, 16384, 2, 164},
-                                {4, 3, 1, 3072, 16384, 3, 170},
-                                {4, 4, 1, 3072, 16384, 2, 170},
-                                {4, 5, 1, 3072, 16384, 3, 162},
-                                {4, 6, 1, 3072, 16384, 3, 128},
-                                {4, 7, 1, 3072, 16384, 3, 128},
-                                {4, 8, 1, 3072, 16384, 1, 164},
-                                {4, 1, 1, 3072, 24576, 3, 170},
-                                {4, 2, 1, 3072, 24576, 2, 168},
-                                {4, 3, 1, 3072, 24576, 3, 170},
-                                {4, 4, 1, 3072, 24576, 3, 168},
-                                {4, 5, 1, 3072, 24576, 3, 166},
-                                {4, 6, 1, 3072, 24576, 2, 170},
-                                {4, 7, 1, 3072, 24576, 3, 160},
-                                {4, 8, 1, 3072, 24576, 1, 168},
-                                {4, 1, 1, 3072, 51200, 3, 170},
-                                {4, 2, 1, 3072, 51200, 2, 170},
-                                {4, 3, 1, 3072, 51200, 3, 170},
-                                {4, 4, 1, 3072, 51200, 3, 170},
-                                {4, 5, 1, 3072, 51200, 3, 168},
-                                {4, 6, 1, 3072, 51200, 3, 160},
-                                {4, 7, 1, 3072, 51200, 3, 166},
-                                {4, 8, 1, 3072, 51200, 3, 150},
-                                {4, 1, 1, 3072, 128000, 3, 170},
-                                {4, 2, 1, 3072, 128000, 2, 170},
-                                {4, 3, 1, 3072, 128000, 3, 170},
-                                {4, 4, 1, 3072, 128000, 3, 170},
-                                {4, 5, 1, 3072, 128000, 3, 160},
-                                {4, 6, 1, 3072, 128000, 3, 166},
-                                {4, 7, 1, 3072, 128000, 3, 168},
-                                {4, 8, 1, 3072, 128000, 3, 170},
-                                {4, 1, 1, 4096, 256, 2, 16},
-                                {4, 2, 1, 4096, 256, 2, 14},
-                                {4, 3, 1, 4096, 256, 2, 14},
-                                {4, 4, 1, 4096, 256, 2, 16},
-                                {4, 5, 1, 4096, 256, 2, 18},
-                                {4, 6, 1, 4096, 256, 2, 24},
-                                {4, 7, 1, 4096, 256, 2, 16},
-                                {4, 8, 1, 4096, 256, 2, 16},
-                                {4, 1, 1, 4096, 512, 2, 32},
-                                {4, 2, 1, 4096, 512, 2, 32},
-                                {4, 3, 1, 4096, 512, 2, 32},
-                                {4, 4, 1, 4096, 512, 2, 32},
-                                {4, 5, 1, 4096, 512, 2, 26},
-                                {4, 6, 1, 4096, 512, 2, 38},
-                                {4, 7, 1, 4096, 512, 2, 32},
-                                {4, 8, 1, 4096, 512, 2, 32},
-                                {4, 1, 1, 4096, 1024, 2, 56},
-                                {4, 2, 1, 4096, 1024, 2, 64},
-                                {4, 3, 1, 4096, 1024, 2, 64},
-                                {4, 4, 1, 4096, 1024, 2, 64},
-                                {4, 5, 1, 4096, 1024, 2, 48},
-                                {4, 6, 1, 4096, 1024, 2, 64},
-                                {4, 7, 1, 4096, 1024, 2, 62},
-                                {4, 8, 1, 4096, 1024, 2, 48},
-                                {4, 1, 1, 4096, 2048, 2, 128},
-                                {4, 2, 1, 4096, 2048, 2, 108},
-                                {4, 3, 1, 4096, 2048, 2, 108},
-                                {4, 4, 1, 4096, 2048, 2, 120},
-                                {4, 5, 1, 4096, 2048, 2, 128},
-                                {4, 6, 1, 4096, 2048, 2, 108},
-                                {4, 7, 1, 4096, 2048, 2, 128},
-                                {4, 8, 1, 4096, 2048, 2, 104},
-                                {4, 1, 1, 4096, 3072, 2, 160},
-                                {4, 2, 1, 4096, 3072, 2, 140},
-                                {4, 3, 1, 4096, 3072, 2, 162},
-                                {4, 4, 1, 4096, 3072, 2, 136},
-                                {4, 5, 1, 4096, 3072, 2, 170},
-                                {4, 6, 1, 4096, 3072, 2, 156},
-                                {4, 7, 1, 4096, 3072, 2, 168},
-                                {4, 8, 1, 4096, 3072, 2, 120},
-                                {4, 1, 1, 4096, 4096, 2, 128},
-                                {4, 2, 1, 4096, 4096, 2, 152},
-                                {4, 3, 1, 4096, 4096, 2, 156},
-                                {4, 4, 1, 4096, 4096, 2, 160},
-                                {4, 5, 1, 4096, 4096, 2, 154},
-                                {4, 6, 1, 4096, 4096, 2, 160},
-                                {4, 7, 1, 4096, 4096, 2, 160},
-                                {4, 8, 1, 4096, 4096, 2, 126},
-                                {4, 1, 1, 4096, 5120, 2, 160},
-                                {4, 2, 1, 4096, 5120, 2, 160},
-                                {4, 3, 1, 4096, 5120, 2, 158},
-                                {4, 4, 1, 4096, 5120, 2, 162},
-                                {4, 5, 1, 4096, 5120, 2, 160},
-                                {4, 6, 1, 4096, 5120, 2, 158},
-                                {4, 7, 1, 4096, 5120, 2, 160},
-                                {4, 8, 1, 4096, 5120, 1, 160},
-                                {4, 1, 1, 4096, 8192, 2, 168},
-                                {4, 2, 1, 4096, 8192, 2, 170},
-                                {4, 3, 1, 4096, 8192, 2, 170},
-                                {4, 4, 1, 4096, 8192, 2, 164},
-                                {4, 5, 1, 4096, 8192, 2, 168},
-                                {4, 6, 1, 4096, 8192, 2, 170},
-                                {4, 7, 1, 4096, 8192, 3, 128},
-                                {4, 8, 1, 4096, 8192, 1, 160},
-                                {4, 1, 1, 4096, 12288, 3, 170},
-                                {4, 2, 1, 4096, 12288, 2, 170},
-                                {4, 3, 1, 4096, 12288, 3, 170},
-                                {4, 4, 1, 4096, 12288, 2, 168},
-                                {4, 5, 1, 4096, 12288, 3, 170},
-                                {4, 6, 1, 4096, 12288, 3, 144},
-                                {4, 7, 1, 4096, 12288, 3, 144},
-                                {4, 8, 1, 4096, 12288, 1, 162},
-                                {4, 1, 1, 4096, 14336, 3, 168},
-                                {4, 2, 1, 4096, 14336, 2, 170},
-                                {4, 3, 1, 4096, 14336, 3, 168},
-                                {4, 4, 1, 4096, 14336, 2, 168},
-                                {4, 5, 1, 4096, 14336, 3, 168},
-                                {4, 6, 1, 4096, 14336, 2, 168},
-                                {4, 7, 1, 4096, 14336, 3, 168},
-                                {4, 8, 1, 4096, 14336, 1, 168},
-                                {4, 1, 1, 4096, 16384, 3, 170},
-                                {4, 2, 1, 4096, 16384, 2, 166},
-                                {4, 3, 1, 4096, 16384, 3, 170},
-                                {4, 4, 1, 4096, 16384, 3, 170},
-                                {4, 5, 1, 4096, 16384, 3, 168},
-                                {4, 6, 1, 4096, 16384, 3, 128},
-                                {4, 7, 1, 4096, 16384, 3, 128},
-                                {4, 8, 1, 4096, 16384, 1, 168},
-                                {4, 1, 1, 4096, 24576, 3, 170},
-                                {4, 2, 1, 4096, 24576, 2, 170},
-                                {4, 3, 1, 4096, 24576, 3, 170},
-                                {4, 4, 1, 4096, 24576, 3, 170},
-                                {4, 5, 1, 4096, 24576, 3, 160},
-                                {4, 6, 1, 4096, 24576, 3, 144},
-                                {4, 7, 1, 4096, 24576, 3, 160},
-                                {4, 8, 1, 4096, 24576, 1, 168},
-                                {4, 1, 1, 4096, 51200, 3, 170},
-                                {4, 2, 1, 4096, 51200, 2, 170},
-                                {4, 3, 1, 4096, 51200, 3, 170},
-                                {4, 4, 1, 4096, 51200, 3, 170},
-                                {4, 5, 1, 4096, 51200, 3, 168},
-                                {4, 6, 1, 4096, 51200, 3, 160},
-                                {4, 7, 1, 4096, 51200, 3, 166},
-                                {4, 8, 1, 4096, 51200, 3, 150},
-                                {4, 1, 1, 4096, 128000, 3, 170},
-                                {4, 2, 1, 4096, 128000, 2, 170},
-                                {4, 3, 1, 4096, 128000, 3, 170},
-                                {4, 4, 1, 4096, 128000, 3, 170},
-                                {4, 5, 1, 4096, 128000, 3, 170},
-                                {4, 6, 1, 4096, 128000, 3, 166},
-                                {4, 7, 1, 4096, 128000, 3, 166},
-                                {4, 8, 1, 4096, 128000, 3, 156},
-                                {4, 1, 1, 5120, 256, 2, 16},
-                                {4, 2, 1, 5120, 256, 2, 16},
-                                {4, 3, 1, 5120, 256, 2, 22},
-                                {4, 4, 1, 5120, 256, 2, 18},
-                                {4, 5, 1, 5120, 256, 2, 16},
-                                {4, 6, 1, 5120, 256, 2, 16},
-                                {4, 7, 1, 5120, 256, 2, 20},
-                                {4, 8, 1, 5120, 256, 2, 16},
-                                {4, 1, 1, 5120, 512, 2, 30},
-                                {4, 2, 1, 5120, 512, 2, 34},
-                                {4, 3, 1, 5120, 512, 2, 40},
-                                {4, 4, 1, 5120, 512, 2, 34},
-                                {4, 5, 1, 5120, 512, 2, 32},
-                                {4, 6, 1, 5120, 512, 2, 32},
-                                {4, 7, 1, 5120, 512, 2, 40},
-                                {4, 8, 1, 5120, 512, 2, 36},
-                                {4, 1, 1, 5120, 1024, 2, 48},
-                                {4, 2, 1, 5120, 1024, 2, 88},
-                                {4, 3, 1, 5120, 1024, 2, 72},
-                                {4, 4, 1, 5120, 1024, 2, 72},
-                                {4, 5, 1, 5120, 1024, 2, 76},
-                                {4, 6, 1, 5120, 1024, 2, 56},
-                                {4, 7, 1, 5120, 1024, 2, 72},
-                                {4, 8, 1, 5120, 1024, 2, 56},
-                                {4, 1, 1, 5120, 2048, 2, 138},
-                                {4, 2, 1, 5120, 2048, 2, 112},
-                                {4, 3, 1, 5120, 2048, 2, 128},
-                                {4, 4, 1, 5120, 2048, 2, 104},
-                                {4, 5, 1, 5120, 2048, 2, 112},
-                                {4, 6, 1, 5120, 2048, 2, 120},
-                                {4, 7, 1, 5120, 2048, 2, 142},
-                                {4, 8, 1, 5120, 2048, 2, 112},
-                                {4, 1, 1, 5120, 3072, 2, 168},
-                                {4, 2, 1, 5120, 3072, 2, 168},
-                                {4, 3, 1, 5120, 3072, 2, 168},
-                                {4, 4, 1, 5120, 3072, 2, 168},
-                                {4, 5, 1, 5120, 3072, 2, 168},
-                                {4, 6, 1, 5120, 3072, 2, 168},
-                                {4, 7, 1, 5120, 3072, 2, 168},
-                                {4, 8, 1, 5120, 3072, 1, 168},
-                                {4, 1, 1, 5120, 4096, 2, 162},
-                                {4, 2, 1, 5120, 4096, 2, 160},
-                                {4, 3, 1, 5120, 4096, 2, 166},
-                                {4, 4, 1, 5120, 4096, 2, 168},
-                                {4, 5, 1, 5120, 4096, 2, 156},
-                                {4, 6, 1, 5120, 4096, 2, 160},
-                                {4, 7, 1, 5120, 4096, 2, 160},
-                                {4, 8, 1, 5120, 4096, 1, 160},
-                                {4, 1, 1, 5120, 5120, 2, 160},
-                                {4, 2, 1, 5120, 5120, 2, 160},
-                                {4, 3, 1, 5120, 5120, 2, 146},
-                                {4, 4, 1, 5120, 5120, 2, 152},
-                                {4, 5, 1, 5120, 5120, 2, 160},
-                                {4, 6, 1, 5120, 5120, 2, 160},
-                                {4, 7, 1, 5120, 5120, 2, 160},
-                                {4, 8, 1, 5120, 5120, 1, 160},
-                                {4, 1, 1, 5120, 8192, 2, 170},
-                                {4, 2, 1, 5120, 8192, 2, 168},
-                                {4, 3, 1, 5120, 8192, 2, 168},
-                                {4, 4, 1, 5120, 8192, 2, 164},
-                                {4, 5, 1, 5120, 8192, 3, 160},
-                                {4, 6, 1, 5120, 8192, 2, 160},
-                                {4, 7, 1, 5120, 8192, 3, 160},
-                                {4, 8, 1, 5120, 8192, 1, 160},
-                                {4, 1, 1, 5120, 12288, 3, 168},
-                                {4, 2, 1, 5120, 12288, 2, 170},
-                                {4, 3, 1, 5120, 12288, 3, 168},
-                                {4, 4, 1, 5120, 12288, 2, 168},
-                                {4, 5, 1, 5120, 12288, 3, 158},
-                                {4, 6, 1, 5120, 12288, 3, 144},
-                                {4, 7, 1, 5120, 12288, 3, 144},
-                                {4, 8, 1, 5120, 12288, 1, 168},
-                                {4, 1, 1, 5120, 14336, 3, 168},
-                                {4, 2, 1, 5120, 14336, 2, 168},
-                                {4, 3, 1, 5120, 14336, 3, 170},
-                                {4, 4, 1, 5120, 14336, 2, 168},
-                                {4, 5, 1, 5120, 14336, 3, 166},
-                                {4, 6, 1, 5120, 14336, 3, 168},
-                                {4, 7, 1, 5120, 14336, 3, 168},
-                                {4, 8, 1, 5120, 14336, 1, 168},
-                                {4, 1, 1, 5120, 16384, 3, 170},
-                                {4, 2, 1, 5120, 16384, 2, 170},
-                                {4, 3, 1, 5120, 16384, 3, 170},
-                                {4, 4, 1, 5120, 16384, 3, 170},
-                                {4, 5, 1, 5120, 16384, 3, 160},
-                                {4, 6, 1, 5120, 16384, 3, 128},
-                                {4, 7, 1, 5120, 16384, 3, 128},
-                                {4, 8, 1, 5120, 16384, 1, 168},
-                                {4, 1, 1, 5120, 24576, 3, 168},
-                                {4, 2, 1, 5120, 24576, 2, 170},
-                                {4, 3, 1, 5120, 24576, 3, 168},
-                                {4, 4, 1, 5120, 24576, 3, 168},
-                                {4, 5, 1, 5120, 24576, 3, 160},
-                                {4, 6, 1, 5120, 24576, 3, 160},
-                                {4, 7, 1, 5120, 24576, 3, 160},
-                                {4, 8, 1, 5120, 24576, 1, 168},
-                                {4, 1, 1, 5120, 51200, 3, 170},
-                                {4, 2, 1, 5120, 51200, 2, 170},
-                                {4, 3, 1, 5120, 51200, 3, 170},
-                                {4, 4, 1, 5120, 51200, 3, 170},
-                                {4, 5, 1, 5120, 51200, 3, 164},
-                                {4, 6, 1, 5120, 51200, 3, 160},
-                                {4, 7, 1, 5120, 51200, 3, 158},
-                                {4, 8, 1, 5120, 51200, 3, 150},
-                                {4, 1, 1, 5120, 128000, 3, 170},
-                                {4, 2, 1, 5120, 128000, 2, 170},
-                                {4, 3, 1, 5120, 128000, 3, 168},
-                                {4, 4, 1, 5120, 128000, 3, 170},
-                                {4, 5, 1, 5120, 128000, 3, 166},
-                                {4, 6, 1, 5120, 128000, 3, 166},
-                                {4, 7, 1, 5120, 128000, 3, 166},
-                                {4, 8, 1, 5120, 128000, 3, 166},
-                                {4, 1, 1, 8192, 256, 2, 22},
-                                {4, 2, 1, 8192, 256, 2, 22},
-                                {4, 3, 1, 8192, 256, 2, 20},
-                                {4, 4, 1, 8192, 256, 2, 16},
-                                {4, 5, 1, 8192, 256, 2, 24},
-                                {4, 6, 1, 8192, 256, 2, 22},
-                                {4, 7, 1, 8192, 256, 2, 20},
-                                {4, 8, 1, 8192, 256, 2, 20},
-                                {4, 1, 1, 8192, 512, 2, 32},
-                                {4, 2, 1, 8192, 512, 2, 36},
-                                {4, 3, 1, 8192, 512, 2, 40},
-                                {4, 4, 1, 8192, 512, 2, 38},
-                                {4, 5, 1, 8192, 512, 2, 40},
-                                {4, 6, 1, 8192, 512, 2, 44},
-                                {4, 7, 1, 8192, 512, 2, 48},
-                                {4, 8, 1, 8192, 512, 2, 32},
-                                {4, 1, 1, 8192, 1024, 2, 64},
-                                {4, 2, 1, 8192, 1024, 2, 72},
-                                {4, 3, 1, 8192, 1024, 2, 80},
-                                {4, 4, 1, 8192, 1024, 2, 64},
-                                {4, 5, 1, 8192, 1024, 2, 88},
-                                {4, 6, 1, 8192, 1024, 2, 72},
-                                {4, 7, 1, 8192, 1024, 2, 80},
-                                {4, 8, 1, 8192, 1024, 2, 80},
-                                {4, 1, 1, 8192, 2048, 2, 144},
-                                {4, 2, 1, 8192, 2048, 2, 152},
-                                {4, 3, 1, 8192, 2048, 2, 156},
-                                {4, 4, 1, 8192, 2048, 2, 112},
-                                {4, 5, 1, 8192, 2048, 2, 152},
-                                {4, 6, 1, 8192, 2048, 2, 160},
-                                {4, 7, 1, 8192, 2048, 2, 156},
-                                {4, 8, 1, 8192, 2048, 2, 128},
-                                {4, 1, 1, 8192, 3072, 2, 156},
-                                {4, 2, 1, 8192, 3072, 2, 168},
-                                {4, 3, 1, 8192, 3072, 2, 168},
-                                {4, 4, 1, 8192, 3072, 2, 168},
-                                {4, 5, 1, 8192, 3072, 2, 168},
-                                {4, 6, 1, 8192, 3072, 2, 168},
-                                {4, 7, 1, 8192, 3072, 2, 168},
-                                {4, 8, 1, 8192, 3072, 1, 164},
-                                {4, 1, 1, 8192, 4096, 2, 156},
-                                {4, 2, 1, 8192, 4096, 2, 170},
-                                {4, 3, 1, 8192, 4096, 2, 170},
-                                {4, 4, 1, 8192, 4096, 2, 160},
-                                {4, 5, 1, 8192, 4096, 2, 162},
-                                {4, 6, 1, 8192, 4096, 2, 160},
-                                {4, 7, 1, 8192, 4096, 2, 160},
-                                {4, 8, 1, 8192, 4096, 1, 160},
-                                {4, 1, 1, 8192, 5120, 2, 168},
-                                {4, 2, 1, 8192, 5120, 2, 166},
-                                {4, 3, 1, 8192, 5120, 2, 168},
-                                {4, 4, 1, 8192, 5120, 2, 160},
-                                {4, 5, 1, 8192, 5120, 2, 166},
-                                {4, 6, 1, 8192, 5120, 2, 160},
-                                {4, 7, 1, 8192, 5120, 2, 160},
-                                {4, 8, 1, 8192, 5120, 1, 160},
-                                {4, 1, 1, 8192, 8192, 3, 170},
-                                {4, 2, 1, 8192, 8192, 2, 170},
-                                {4, 3, 1, 8192, 8192, 2, 170},
-                                {4, 4, 1, 8192, 8192, 2, 170},
-                                {4, 5, 1, 8192, 8192, 3, 160},
-                                {4, 6, 1, 8192, 8192, 2, 170},
-                                {4, 7, 1, 8192, 8192, 3, 128},
-                                {4, 8, 1, 8192, 8192, 2, 128},
-                                {4, 1, 1, 8192, 12288, 3, 170},
-                                {4, 2, 1, 8192, 12288, 2, 170},
-                                {4, 3, 1, 8192, 12288, 3, 170},
-                                {4, 4, 1, 8192, 12288, 3, 170},
-                                {4, 5, 1, 8192, 12288, 3, 168},
-                                {4, 6, 1, 8192, 12288, 3, 144},
-                                {4, 7, 1, 8192, 12288, 3, 144},
-                                {4, 8, 1, 8192, 12288, 2, 144},
-                                {4, 1, 1, 8192, 14336, 3, 168},
-                                {4, 2, 1, 8192, 14336, 2, 170},
-                                {4, 3, 1, 8192, 14336, 3, 170},
-                                {4, 4, 1, 8192, 14336, 3, 168},
-                                {4, 5, 1, 8192, 14336, 3, 168},
-                                {4, 6, 1, 8192, 14336, 3, 168},
-                                {4, 7, 1, 8192, 14336, 3, 168},
-                                {4, 8, 1, 8192, 14336, 1, 168},
-                                {4, 1, 1, 8192, 16384, 3, 170},
-                                {4, 2, 1, 8192, 16384, 2, 170},
-                                {4, 3, 1, 8192, 16384, 3, 170},
-                                {4, 4, 1, 8192, 16384, 3, 170},
-                                {4, 5, 1, 8192, 16384, 3, 160},
-                                {4, 6, 1, 8192, 16384, 3, 128},
-                                {4, 7, 1, 8192, 16384, 3, 128},
-                                {4, 8, 1, 8192, 16384, 1, 168},
-                                {4, 1, 1, 8192, 24576, 3, 170},
-                                {4, 2, 1, 8192, 24576, 2, 170},
-                                {4, 3, 1, 8192, 24576, 3, 170},
-                                {4, 4, 1, 8192, 24576, 3, 168},
-                                {4, 5, 1, 8192, 24576, 3, 160},
-                                {4, 6, 1, 8192, 24576, 3, 160},
-                                {4, 7, 1, 8192, 24576, 3, 128},
-                                {4, 8, 1, 8192, 24576, 1, 168},
-                                {4, 1, 1, 8192, 51200, 3, 170},
-                                {4, 2, 1, 8192, 51200, 2, 170},
-                                {4, 3, 1, 8192, 51200, 3, 170},
-                                {4, 4, 1, 8192, 51200, 3, 170},
-                                {4, 5, 1, 8192, 51200, 3, 156},
-                                {4, 6, 1, 8192, 51200, 3, 160},
-                                {4, 7, 1, 8192, 51200, 3, 156},
-                                {4, 8, 1, 8192, 51200, 3, 150},
-                                {4, 1, 1, 8192, 128000, 3, 170},
-                                {4, 2, 1, 8192, 128000, 2, 170},
-                                {4, 3, 1, 8192, 128000, 3, 170},
-                                {4, 4, 1, 8192, 128000, 3, 170},
-                                {4, 5, 1, 8192, 128000, 3, 168},
-                                {4, 6, 1, 8192, 128000, 3, 168},
-                                {4, 7, 1, 8192, 128000, 3, 166},
-                                {4, 8, 1, 8192, 128000, 3, 156},
-                                {4, 1, 1, 12288, 256, 2, 24},
-                                {4, 2, 1, 12288, 256, 2, 24},
-                                {4, 3, 1, 12288, 256, 2, 24},
-                                {4, 4, 1, 12288, 256, 2, 24},
-                                {4, 5, 1, 12288, 256, 2, 26},
-                                {4, 6, 1, 12288, 256, 2, 24},
-                                {4, 7, 1, 12288, 256, 2, 26},
-                                {4, 8, 1, 12288, 256, 2, 24},
-                                {4, 1, 1, 12288, 512, 2, 48},
-                                {4, 2, 1, 12288, 512, 2, 48},
-                                {4, 3, 1, 12288, 512, 2, 44},
-                                {4, 4, 1, 12288, 512, 2, 48},
-                                {4, 5, 1, 12288, 512, 2, 42},
-                                {4, 6, 1, 12288, 512, 2, 48},
-                                {4, 7, 1, 12288, 512, 2, 56},
-                                {4, 8, 1, 12288, 512, 2, 48},
-                                {4, 1, 1, 12288, 1024, 2, 88},
-                                {4, 2, 1, 12288, 1024, 2, 94},
-                                {4, 3, 1, 12288, 1024, 2, 88},
-                                {4, 4, 1, 12288, 1024, 2, 100},
-                                {4, 5, 1, 12288, 1024, 2, 112},
-                                {4, 6, 1, 12288, 1024, 2, 110},
-                                {4, 7, 1, 12288, 1024, 2, 120},
-                                {4, 8, 1, 12288, 1024, 2, 98},
-                                {4, 1, 1, 12288, 2048, 2, 156},
-                                {4, 2, 1, 12288, 2048, 2, 152},
-                                {4, 3, 1, 12288, 2048, 2, 162},
-                                {4, 4, 1, 12288, 2048, 2, 160},
-                                {4, 5, 1, 12288, 2048, 2, 160},
-                                {4, 6, 1, 12288, 2048, 2, 168},
-                                {4, 7, 1, 12288, 2048, 2, 160},
-                                {4, 8, 1, 12288, 2048, 2, 128},
-                                {4, 1, 1, 12288, 3072, 2, 168},
-                                {4, 2, 1, 12288, 3072, 2, 168},
-                                {4, 3, 1, 12288, 3072, 2, 168},
-                                {4, 4, 1, 12288, 3072, 2, 168},
-                                {4, 5, 1, 12288, 3072, 2, 168},
-                                {4, 6, 1, 12288, 3072, 2, 168},
-                                {4, 7, 1, 12288, 3072, 2, 168},
-                                {4, 8, 1, 12288, 3072, 1, 168},
-                                {4, 1, 1, 12288, 4096, 2, 170},
-                                {4, 2, 1, 12288, 4096, 2, 168},
-                                {4, 3, 1, 12288, 4096, 2, 170},
-                                {4, 4, 1, 12288, 4096, 2, 160},
-                                {4, 5, 1, 12288, 4096, 2, 168},
-                                {4, 6, 1, 12288, 4096, 2, 160},
-                                {4, 7, 1, 12288, 4096, 2, 166},
-                                {4, 8, 1, 12288, 4096, 1, 160},
-                                {4, 1, 1, 12288, 5120, 3, 164},
-                                {4, 2, 1, 12288, 5120, 2, 164},
-                                {4, 3, 1, 12288, 5120, 2, 170},
-                                {4, 4, 1, 12288, 5120, 2, 160},
-                                {4, 5, 1, 12288, 5120, 3, 160},
-                                {4, 6, 1, 12288, 5120, 2, 160},
-                                {4, 7, 1, 12288, 5120, 2, 160},
-                                {4, 8, 1, 12288, 5120, 1, 160},
-                                {4, 1, 1, 12288, 8192, 3, 170},
-                                {4, 2, 1, 12288, 8192, 2, 170},
-                                {4, 3, 1, 12288, 8192, 3, 170},
-                                {4, 4, 1, 12288, 8192, 2, 170},
-                                {4, 5, 1, 12288, 8192, 3, 160},
-                                {4, 6, 1, 12288, 8192, 3, 128},
-                                {4, 7, 1, 12288, 8192, 3, 160},
-                                {4, 8, 1, 12288, 8192, 1, 160},
-                                {4, 1, 1, 12288, 12288, 3, 170},
-                                {4, 2, 1, 12288, 12288, 2, 170},
-                                {4, 3, 1, 12288, 12288, 3, 170},
-                                {4, 4, 1, 12288, 12288, 3, 168},
-                                {4, 5, 1, 12288, 12288, 3, 168},
-                                {4, 6, 1, 12288, 12288, 3, 144},
-                                {4, 7, 1, 12288, 12288, 3, 144},
-                                {4, 8, 1, 12288, 12288, 1, 162},
-                                {4, 1, 1, 12288, 14336, 3, 170},
-                                {4, 2, 1, 12288, 14336, 2, 170},
-                                {4, 3, 1, 12288, 14336, 3, 168},
-                                {4, 4, 1, 12288, 14336, 3, 168},
-                                {4, 5, 1, 12288, 14336, 3, 168},
-                                {4, 6, 1, 12288, 14336, 3, 168},
-                                {4, 7, 1, 12288, 14336, 3, 168},
-                                {4, 8, 1, 12288, 14336, 1, 168},
-                                {4, 1, 1, 12288, 16384, 3, 170},
-                                {4, 2, 1, 12288, 16384, 2, 170},
-                                {4, 3, 1, 12288, 16384, 3, 170},
-                                {4, 4, 1, 12288, 16384, 3, 168},
-                                {4, 5, 1, 12288, 16384, 3, 160},
-                                {4, 6, 1, 12288, 16384, 3, 128},
-                                {4, 7, 1, 12288, 16384, 3, 128},
-                                {4, 8, 1, 12288, 16384, 1, 168},
-                                {4, 1, 1, 12288, 24576, 3, 170},
-                                {4, 2, 1, 12288, 24576, 2, 170},
-                                {4, 3, 1, 12288, 24576, 3, 170},
-                                {4, 4, 1, 12288, 24576, 3, 168},
-                                {4, 5, 1, 12288, 24576, 3, 160},
-                                {4, 6, 1, 12288, 24576, 3, 160},
-                                {4, 7, 1, 12288, 24576, 3, 160},
-                                {4, 8, 1, 12288, 24576, 1, 168},
-                                {4, 1, 1, 12288, 51200, 3, 170},
-                                {4, 2, 1, 12288, 51200, 2, 170},
-                                {4, 3, 1, 12288, 51200, 3, 170},
-                                {4, 4, 1, 12288, 51200, 3, 170},
-                                {4, 5, 1, 12288, 51200, 3, 166},
-                                {4, 6, 1, 12288, 51200, 3, 160},
-                                {4, 7, 1, 12288, 51200, 3, 156},
-                                {4, 8, 1, 12288, 51200, 3, 150},
-                                {4, 1, 1, 12288, 128000, 3, 170},
-                                {4, 2, 1, 12288, 128000, 2, 170},
-                                {4, 3, 1, 12288, 128000, 3, 170},
-                                {4, 4, 1, 12288, 128000, 3, 170},
-                                {4, 5, 1, 12288, 128000, 3, 168},
-                                {4, 6, 1, 12288, 128000, 3, 166},
-                                {4, 7, 1, 12288, 128000, 3, 166},
-                                {4, 8, 1, 12288, 128000, 3, 156},
-                                {4, 1, 1, 14336, 256, 2, 32},
-                                {4, 2, 1, 14336, 256, 2, 28},
-                                {4, 3, 1, 14336, 256, 2, 26},
-                                {4, 4, 1, 14336, 256, 2, 28},
-                                {4, 5, 1, 14336, 256, 2, 26},
-                                {4, 6, 1, 14336, 256, 2, 30},
-                                {4, 7, 1, 14336, 256, 2, 32},
-                                {4, 8, 1, 14336, 256, 2, 26},
-                                {4, 1, 1, 14336, 512, 2, 48},
-                                {4, 2, 1, 14336, 512, 2, 56},
-                                {4, 3, 1, 14336, 512, 2, 48},
-                                {4, 4, 1, 14336, 512, 2, 48},
-                                {4, 5, 1, 14336, 512, 2, 56},
-                                {4, 6, 1, 14336, 512, 2, 56},
-                                {4, 7, 1, 14336, 512, 2, 64},
-                                {4, 8, 1, 14336, 512, 2, 56},
-                                {4, 1, 1, 14336, 1024, 2, 104},
-                                {4, 2, 1, 14336, 1024, 2, 104},
-                                {4, 3, 1, 14336, 1024, 2, 96},
-                                {4, 4, 1, 14336, 1024, 2, 104},
-                                {4, 5, 1, 14336, 1024, 2, 112},
-                                {4, 6, 1, 14336, 1024, 2, 106},
-                                {4, 7, 1, 14336, 1024, 2, 152},
-                                {4, 8, 1, 14336, 1024, 2, 112},
-                                {4, 1, 1, 14336, 2048, 2, 162},
-                                {4, 2, 1, 14336, 2048, 2, 164},
-                                {4, 3, 1, 14336, 2048, 2, 170},
-                                {4, 4, 1, 14336, 2048, 2, 160},
-                                {4, 5, 1, 14336, 2048, 2, 168},
-                                {4, 6, 1, 14336, 2048, 2, 160},
-                                {4, 7, 1, 14336, 2048, 2, 160},
-                                {4, 8, 1, 14336, 2048, 2, 128},
-                                {4, 1, 1, 14336, 3072, 2, 168},
-                                {4, 2, 1, 14336, 3072, 2, 168},
-                                {4, 3, 1, 14336, 3072, 2, 168},
-                                {4, 4, 1, 14336, 3072, 2, 168},
-                                {4, 5, 1, 14336, 3072, 2, 168},
-                                {4, 6, 1, 14336, 3072, 2, 168},
-                                {4, 7, 1, 14336, 3072, 2, 168},
-                                {4, 8, 1, 14336, 3072, 1, 168},
-                                {4, 1, 1, 14336, 4096, 2, 170},
-                                {4, 2, 1, 14336, 4096, 2, 170},
-                                {4, 3, 1, 14336, 4096, 2, 170},
-                                {4, 4, 1, 14336, 4096, 2, 168},
-                                {4, 5, 1, 14336, 4096, 2, 168},
-                                {4, 6, 1, 14336, 4096, 2, 160},
-                                {4, 7, 1, 14336, 4096, 2, 160},
-                                {4, 8, 1, 14336, 4096, 1, 160},
-                                {4, 1, 1, 14336, 5120, 3, 170},
-                                {4, 2, 1, 14336, 5120, 2, 170},
-                                {4, 3, 1, 14336, 5120, 2, 170},
-                                {4, 4, 1, 14336, 5120, 2, 160},
-                                {4, 5, 1, 14336, 5120, 3, 160},
-                                {4, 6, 1, 14336, 5120, 2, 160},
-                                {4, 7, 1, 14336, 5120, 2, 160},
-                                {4, 8, 1, 14336, 5120, 1, 160},
-                                {4, 1, 1, 14336, 8192, 3, 170},
-                                {4, 2, 1, 14336, 8192, 2, 170},
-                                {4, 3, 1, 14336, 8192, 3, 170},
-                                {4, 4, 1, 14336, 8192, 3, 170},
-                                {4, 5, 1, 14336, 8192, 3, 160},
-                                {4, 6, 1, 14336, 8192, 3, 128},
-                                {4, 7, 1, 14336, 8192, 3, 128},
-                                {4, 8, 1, 14336, 8192, 1, 160},
-                                {4, 1, 1, 14336, 12288, 3, 170},
-                                {4, 2, 1, 14336, 12288, 2, 170},
-                                {4, 3, 1, 14336, 12288, 3, 170},
-                                {4, 4, 1, 14336, 12288, 3, 170},
-                                {4, 5, 1, 14336, 12288, 3, 168},
-                                {4, 6, 1, 14336, 12288, 3, 144},
-                                {4, 7, 1, 14336, 12288, 3, 144},
-                                {4, 8, 1, 14336, 12288, 2, 144},
-                                {4, 1, 1, 14336, 14336, 3, 170},
-                                {4, 2, 1, 14336, 14336, 2, 170},
-                                {4, 3, 1, 14336, 14336, 3, 170},
-                                {4, 4, 1, 14336, 14336, 3, 168},
-                                {4, 5, 1, 14336, 14336, 3, 168},
-                                {4, 6, 1, 14336, 14336, 3, 168},
-                                {4, 7, 1, 14336, 14336, 3, 168},
-                                {4, 8, 1, 14336, 14336, 1, 168},
-                                {4, 1, 1, 14336, 16384, 3, 170},
-                                {4, 2, 1, 14336, 16384, 2, 170},
-                                {4, 3, 1, 14336, 16384, 3, 170},
-                                {4, 4, 1, 14336, 16384, 3, 170},
-                                {4, 5, 1, 14336, 16384, 3, 160},
-                                {4, 6, 1, 14336, 16384, 3, 128},
-                                {4, 7, 1, 14336, 16384, 3, 128},
-                                {4, 8, 1, 14336, 16384, 1, 168},
-                                {4, 1, 1, 14336, 24576, 3, 170},
-                                {4, 2, 1, 14336, 24576, 2, 170},
-                                {4, 3, 1, 14336, 24576, 3, 170},
-                                {4, 4, 1, 14336, 24576, 3, 168},
-                                {4, 5, 1, 14336, 24576, 3, 160},
-                                {4, 6, 1, 14336, 24576, 3, 160},
-                                {4, 7, 1, 14336, 24576, 3, 128},
-                                {4, 8, 1, 14336, 24576, 1, 168},
-                                {4, 1, 1, 14336, 51200, 3, 170},
-                                {4, 2, 1, 14336, 51200, 2, 170},
-                                {4, 3, 1, 14336, 51200, 3, 170},
-                                {4, 4, 1, 14336, 51200, 3, 170},
-                                {4, 5, 1, 14336, 51200, 3, 170},
-                                {4, 6, 1, 14336, 51200, 3, 160},
-                                {4, 7, 1, 14336, 51200, 3, 146},
-                                {4, 8, 1, 14336, 51200, 3, 150},
-                                {4, 1, 1, 14336, 128000, 3, 170},
-                                {4, 2, 1, 14336, 128000, 2, 170},
-                                {4, 3, 1, 14336, 128000, 3, 170},
-                                {4, 4, 1, 14336, 128000, 3, 170},
-                                {4, 5, 1, 14336, 128000, 3, 158},
-                                {4, 6, 1, 14336, 128000, 3, 166},
-                                {4, 7, 1, 14336, 128000, 3, 166},
-                                {4, 8, 1, 14336, 128000, 3, 166},
-                                {4, 1, 1, 16384, 256, 2, 26},
-                                {4, 2, 1, 16384, 256, 2, 28},
-                                {4, 3, 1, 16384, 256, 2, 28},
-                                {4, 4, 1, 16384, 256, 2, 26},
-                                {4, 5, 1, 16384, 256, 2, 24},
-                                {4, 6, 1, 16384, 256, 2, 30},
-                                {4, 7, 1, 16384, 256, 2, 32},
-                                {4, 8, 1, 16384, 256, 2, 30},
-                                {4, 1, 1, 16384, 512, 2, 56},
-                                {4, 2, 1, 16384, 512, 2, 56},
-                                {4, 3, 1, 16384, 512, 2, 48},
-                                {4, 4, 1, 16384, 512, 2, 52},
-                                {4, 5, 1, 16384, 512, 2, 62},
-                                {4, 6, 1, 16384, 512, 2, 56},
-                                {4, 7, 1, 16384, 512, 2, 64},
-                                {4, 8, 1, 16384, 512, 2, 72},
-                                {4, 1, 1, 16384, 1024, 2, 108},
-                                {4, 2, 1, 16384, 1024, 2, 104},
-                                {4, 3, 1, 16384, 1024, 2, 104},
-                                {4, 4, 1, 16384, 1024, 2, 100},
-                                {4, 5, 1, 16384, 1024, 2, 128},
-                                {4, 6, 1, 16384, 1024, 2, 128},
-                                {4, 7, 1, 16384, 1024, 2, 128},
-                                {4, 8, 1, 16384, 1024, 2, 100},
-                                {4, 1, 1, 16384, 2048, 2, 158},
-                                {4, 2, 1, 16384, 2048, 2, 164},
-                                {4, 3, 1, 16384, 2048, 2, 168},
-                                {4, 4, 1, 16384, 2048, 2, 144},
-                                {4, 5, 1, 16384, 2048, 2, 168},
-                                {4, 6, 1, 16384, 2048, 2, 152},
-                                {4, 7, 1, 16384, 2048, 2, 168},
-                                {4, 8, 1, 16384, 2048, 1, 160},
-                                {4, 1, 1, 16384, 3072, 2, 170},
-                                {4, 2, 1, 16384, 3072, 2, 170},
-                                {4, 3, 1, 16384, 3072, 2, 168},
-                                {4, 4, 1, 16384, 3072, 2, 170},
-                                {4, 5, 1, 16384, 3072, 2, 168},
-                                {4, 6, 1, 16384, 3072, 2, 168},
-                                {4, 7, 1, 16384, 3072, 2, 168},
-                                {4, 8, 1, 16384, 3072, 1, 168},
-                                {4, 1, 1, 16384, 4096, 2, 170},
-                                {4, 2, 1, 16384, 4096, 2, 168},
-                                {4, 3, 1, 16384, 4096, 2, 170},
-                                {4, 4, 1, 16384, 4096, 2, 170},
-                                {4, 5, 1, 16384, 4096, 2, 170},
-                                {4, 6, 1, 16384, 4096, 2, 160},
-                                {4, 7, 1, 16384, 4096, 2, 170},
-                                {4, 8, 1, 16384, 4096, 1, 160},
-                                {4, 1, 1, 16384, 5120, 3, 170},
-                                {4, 2, 1, 16384, 5120, 2, 170},
-                                {4, 3, 1, 16384, 5120, 2, 170},
-                                {4, 4, 1, 16384, 5120, 2, 170},
-                                {4, 5, 1, 16384, 5120, 3, 160},
-                                {4, 6, 1, 16384, 5120, 2, 160},
-                                {4, 7, 1, 16384, 5120, 3, 160},
-                                {4, 8, 1, 16384, 5120, 1, 160},
-                                {4, 1, 1, 16384, 8192, 3, 170},
-                                {4, 2, 1, 16384, 8192, 2, 170},
-                                {4, 3, 1, 16384, 8192, 3, 170},
-                                {4, 4, 1, 16384, 8192, 3, 170},
-                                {4, 5, 1, 16384, 8192, 3, 160},
-                                {4, 6, 1, 16384, 8192, 3, 128},
-                                {4, 7, 1, 16384, 8192, 3, 160},
-                                {4, 8, 1, 16384, 8192, 1, 160},
-                                {4, 1, 1, 16384, 12288, 3, 170},
-                                {4, 2, 1, 16384, 12288, 2, 170},
-                                {4, 3, 1, 16384, 12288, 3, 170},
-                                {4, 4, 1, 16384, 12288, 3, 168},
-                                {4, 5, 1, 16384, 12288, 3, 168},
-                                {4, 6, 1, 16384, 12288, 3, 144},
-                                {4, 7, 1, 16384, 12288, 3, 144},
-                                {4, 8, 1, 16384, 12288, 2, 150},
-                                {4, 1, 1, 16384, 14336, 3, 170},
-                                {4, 2, 1, 16384, 14336, 2, 170},
-                                {4, 3, 1, 16384, 14336, 3, 170},
-                                {4, 4, 1, 16384, 14336, 3, 168},
-                                {4, 5, 1, 16384, 14336, 3, 168},
-                                {4, 6, 1, 16384, 14336, 3, 168},
-                                {4, 7, 1, 16384, 14336, 3, 168},
-                                {4, 8, 1, 16384, 14336, 1, 168},
-                                {4, 1, 1, 16384, 16384, 3, 170},
-                                {4, 2, 1, 16384, 16384, 2, 170},
-                                {4, 3, 1, 16384, 16384, 3, 170},
-                                {4, 4, 1, 16384, 16384, 3, 170},
-                                {4, 5, 1, 16384, 16384, 3, 160},
-                                {4, 6, 1, 16384, 16384, 3, 128},
-                                {4, 7, 1, 16384, 16384, 3, 128},
-                                {4, 8, 1, 16384, 16384, 1, 168},
-                                {4, 1, 1, 16384, 24576, 3, 170},
-                                {4, 2, 1, 16384, 24576, 2, 170},
-                                {4, 3, 1, 16384, 24576, 3, 170},
-                                {4, 4, 1, 16384, 24576, 3, 170},
-                                {4, 5, 1, 16384, 24576, 3, 160},
-                                {4, 6, 1, 16384, 24576, 3, 160},
-                                {4, 7, 1, 16384, 24576, 3, 160},
-                                {4, 8, 1, 16384, 24576, 1, 168},
-                                {4, 1, 1, 16384, 51200, 3, 170},
-                                {4, 2, 1, 16384, 51200, 2, 170},
-                                {4, 3, 1, 16384, 51200, 3, 170},
-                                {4, 4, 1, 16384, 51200, 3, 170},
-                                {4, 5, 1, 16384, 51200, 3, 170},
-                                {4, 6, 1, 16384, 51200, 3, 160},
-                                {4, 7, 1, 16384, 51200, 3, 162},
-                                {4, 8, 1, 16384, 51200, 3, 150},
-                                {4, 1, 1, 16384, 128000, 3, 170},
-                                {4, 2, 1, 16384, 128000, 2, 170},
-                                {4, 3, 1, 16384, 128000, 3, 170},
-                                {4, 4, 1, 16384, 128000, 3, 170},
-                                {4, 5, 1, 16384, 128000, 3, 160},
-                                {4, 6, 1, 16384, 128000, 3, 166},
-                                {4, 7, 1, 16384, 128000, 3, 166},
-                                {4, 8, 1, 16384, 128000, 3, 136},
-                                {4, 1, 1, 24576, 256, 2, 32},
-                                {4, 2, 1, 24576, 256, 2, 32},
-                                {4, 3, 1, 24576, 256, 2, 32},
-                                {4, 4, 1, 24576, 256, 2, 24},
-                                {4, 5, 1, 24576, 256, 2, 34},
-                                {4, 6, 1, 24576, 256, 2, 44},
-                                {4, 7, 1, 24576, 256, 2, 44},
-                                {4, 8, 1, 24576, 256, 2, 36},
-                                {4, 1, 1, 24576, 512, 2, 64},
-                                {4, 2, 1, 24576, 512, 2, 70},
-                                {4, 3, 1, 24576, 512, 2, 70},
-                                {4, 4, 1, 24576, 512, 2, 56},
-                                {4, 5, 1, 24576, 512, 2, 74},
-                                {4, 6, 1, 24576, 512, 2, 72},
-                                {4, 7, 1, 24576, 512, 2, 88},
-                                {4, 8, 1, 24576, 512, 2, 72},
-                                {4, 1, 1, 24576, 1024, 2, 132},
-                                {4, 2, 1, 24576, 1024, 2, 144},
-                                {4, 3, 1, 24576, 1024, 2, 144},
-                                {4, 4, 1, 24576, 1024, 2, 120},
-                                {4, 5, 1, 24576, 1024, 2, 140},
-                                {4, 6, 1, 24576, 1024, 2, 144},
-                                {4, 7, 1, 24576, 1024, 2, 144},
-                                {4, 8, 1, 24576, 1024, 2, 120},
-                                {4, 1, 1, 24576, 2048, 2, 170},
-                                {4, 2, 1, 24576, 2048, 2, 170},
-                                {4, 3, 1, 24576, 2048, 2, 158},
-                                {4, 4, 1, 24576, 2048, 2, 162},
-                                {4, 5, 1, 24576, 2048, 2, 168},
-                                {4, 6, 1, 24576, 2048, 2, 160},
-                                {4, 7, 1, 24576, 2048, 2, 160},
-                                {4, 8, 1, 24576, 2048, 1, 160},
-                                {4, 1, 1, 24576, 3072, 2, 170},
-                                {4, 2, 1, 24576, 3072, 2, 170},
-                                {4, 3, 1, 24576, 3072, 2, 168},
-                                {4, 4, 1, 24576, 3072, 2, 168},
-                                {4, 5, 1, 24576, 3072, 2, 168},
-                                {4, 6, 1, 24576, 3072, 2, 168},
-                                {4, 7, 1, 24576, 3072, 2, 168},
-                                {4, 8, 1, 24576, 3072, 1, 168},
-                                {4, 1, 1, 24576, 4096, 2, 170},
-                                {4, 2, 1, 24576, 4096, 2, 170},
-                                {4, 3, 1, 24576, 4096, 3, 170},
-                                {4, 4, 1, 24576, 4096, 2, 170},
-                                {4, 5, 1, 24576, 4096, 3, 160},
-                                {4, 6, 1, 24576, 4096, 2, 160},
-                                {4, 7, 1, 24576, 4096, 3, 144},
-                                {4, 8, 1, 24576, 4096, 1, 160},
-                                {4, 1, 1, 24576, 5120, 3, 170},
-                                {4, 2, 1, 24576, 5120, 2, 170},
-                                {4, 3, 1, 24576, 5120, 3, 170},
-                                {4, 4, 1, 24576, 5120, 3, 170},
-                                {4, 5, 1, 24576, 5120, 3, 160},
-                                {4, 6, 1, 24576, 5120, 2, 160},
-                                {4, 7, 1, 24576, 5120, 3, 160},
-                                {4, 8, 1, 24576, 5120, 1, 160},
-                                {4, 1, 1, 24576, 8192, 3, 170},
-                                {4, 2, 1, 24576, 8192, 2, 170},
-                                {4, 3, 1, 24576, 8192, 3, 170},
-                                {4, 4, 1, 24576, 8192, 3, 170},
-                                {4, 5, 1, 24576, 8192, 3, 160},
-                                {4, 6, 1, 24576, 8192, 3, 128},
-                                {4, 7, 1, 24576, 8192, 3, 128},
-                                {4, 8, 1, 24576, 8192, 1, 160},
-                                {4, 1, 1, 24576, 12288, 3, 170},
-                                {4, 2, 1, 24576, 12288, 2, 170},
-                                {4, 3, 1, 24576, 12288, 3, 170},
-                                {4, 4, 1, 24576, 12288, 3, 168},
-                                {4, 5, 1, 24576, 12288, 3, 168},
-                                {4, 6, 1, 24576, 12288, 3, 144},
-                                {4, 7, 1, 24576, 12288, 3, 144},
-                                {4, 8, 1, 24576, 12288, 2, 156},
-                                {4, 1, 1, 24576, 14336, 3, 170},
-                                {4, 2, 1, 24576, 14336, 2, 170},
-                                {4, 3, 1, 24576, 14336, 3, 170},
-                                {4, 4, 1, 24576, 14336, 3, 168},
-                                {4, 5, 1, 24576, 14336, 3, 168},
-                                {4, 6, 1, 24576, 14336, 3, 168},
-                                {4, 7, 1, 24576, 14336, 3, 168},
-                                {4, 8, 1, 24576, 14336, 1, 168},
-                                {4, 1, 1, 24576, 16384, 3, 170},
-                                {4, 2, 1, 24576, 16384, 2, 170},
-                                {4, 3, 1, 24576, 16384, 3, 170},
-                                {4, 4, 1, 24576, 16384, 3, 170},
-                                {4, 5, 1, 24576, 16384, 3, 160},
-                                {4, 6, 1, 24576, 16384, 3, 128},
-                                {4, 7, 1, 24576, 16384, 3, 128},
-                                {4, 8, 1, 24576, 16384, 1, 168},
-                                {4, 1, 1, 24576, 24576, 3, 170},
-                                {4, 2, 1, 24576, 24576, 2, 170},
-                                {4, 3, 1, 24576, 24576, 3, 170},
-                                {4, 4, 1, 24576, 24576, 3, 170},
-                                {4, 5, 1, 24576, 24576, 3, 160},
-                                {4, 6, 1, 24576, 24576, 3, 160},
-                                {4, 7, 1, 24576, 24576, 3, 160},
-                                {4, 8, 1, 24576, 24576, 2, 168},
-                                {4, 1, 1, 24576, 51200, 3, 170},
-                                {4, 2, 1, 24576, 51200, 2, 170},
-                                {4, 3, 1, 24576, 51200, 3, 170},
-                                {4, 4, 1, 24576, 51200, 3, 170},
-                                {4, 5, 1, 24576, 51200, 3, 166},
-                                {4, 6, 1, 24576, 51200, 3, 160},
-                                {4, 7, 1, 24576, 51200, 3, 158},
-                                {4, 8, 1, 24576, 51200, 3, 156},
-                                {4, 1, 1, 24576, 128000, 3, 170},
-                                {4, 2, 1, 24576, 128000, 2, 170},
-                                {4, 3, 1, 24576, 128000, 3, 170},
-                                {4, 4, 1, 24576, 128000, 3, 170},
-                                {4, 5, 1, 24576, 128000, 3, 168},
-                                {4, 6, 1, 24576, 128000, 3, 166},
-                                {4, 7, 1, 24576, 128000, 3, 166},
-                                {4, 8, 1, 24576, 128000, 3, 166},
-                                {3, 1, 1, 128, 256, 1, 4},
-                                {3, 2, 1, 128, 256, 1, 4},
-                                {3, 3, 1, 128, 256, 1, 4},
-                                {3, 4, 1, 128, 256, 1, 4},
-                                {3, 5, 1, 128, 256, 1, 4},
-                                {3, 6, 1, 128, 256, 1, 4},
-                                {3, 7, 1, 128, 256, 1, 4},
-                                {3, 8, 1, 128, 256, 1, 4},
-                                {3, 1, 1, 128, 512, 1, 8},
-                                {3, 2, 1, 128, 512, 2, 4},
-                                {3, 3, 1, 128, 512, 1, 8},
-                                {3, 4, 1, 128, 512, 1, 8},
-                                {3, 5, 1, 128, 512, 1, 8},
-                                {3, 6, 1, 128, 512, 1, 8},
-                                {3, 7, 1, 128, 512, 1, 8},
-                                {3, 8, 1, 128, 512, 2, 8},
-                                {3, 1, 1, 128, 1024, 1, 16},
-                                {3, 2, 1, 128, 1024, 1, 16},
-                                {3, 3, 1, 128, 1024, 1, 16},
-                                {3, 4, 1, 128, 1024, 1, 16},
-                                {3, 5, 1, 128, 1024, 1, 16},
-                                {3, 6, 1, 128, 1024, 1, 16},
-                                {3, 7, 1, 128, 1024, 1, 16},
-                                {3, 8, 1, 128, 1024, 1, 16},
-                                {3, 1, 1, 128, 2048, 1, 32},
-                                {3, 2, 1, 128, 2048, 1, 32},
-                                {3, 3, 1, 128, 2048, 1, 32},
-                                {3, 4, 1, 128, 2048, 1, 32},
-                                {3, 5, 1, 128, 2048, 1, 32},
-                                {3, 6, 1, 128, 2048, 1, 32},
-                                {3, 7, 1, 128, 2048, 1, 32},
-                                {3, 8, 1, 128, 2048, 1, 32},
-                                {3, 1, 1, 128, 3072, 1, 48},
-                                {3, 2, 1, 128, 3072, 1, 48},
-                                {3, 3, 1, 128, 3072, 1, 48},
-                                {3, 4, 1, 128, 3072, 1, 48},
-                                {3, 5, 1, 128, 3072, 1, 48},
-                                {3, 6, 1, 128, 3072, 1, 48},
-                                {3, 7, 1, 128, 3072, 1, 48},
-                                {3, 8, 1, 128, 3072, 1, 48},
-                                {3, 1, 1, 128, 4096, 1, 64},
-                                {3, 2, 1, 128, 4096, 1, 64},
-                                {3, 3, 1, 128, 4096, 1, 64},
-                                {3, 4, 1, 128, 4096, 1, 64},
-                                {3, 5, 1, 128, 4096, 1, 64},
-                                {3, 6, 1, 128, 4096, 1, 64},
-                                {3, 7, 1, 128, 4096, 1, 64},
-                                {3, 8, 1, 128, 4096, 1, 64},
-                                {3, 1, 1, 128, 5120, 1, 40},
-                                {3, 2, 1, 128, 5120, 1, 80},
-                                {3, 3, 1, 128, 5120, 1, 80},
-                                {3, 4, 1, 128, 5120, 1, 80},
-                                {3, 5, 1, 128, 5120, 1, 80},
-                                {3, 6, 1, 128, 5120, 1, 80},
-                                {3, 7, 1, 128, 5120, 1, 80},
-                                {3, 8, 1, 128, 5120, 1, 80},
-                                {3, 1, 1, 128, 8192, 1, 128},
-                                {3, 2, 1, 128, 8192, 1, 128},
-                                {3, 3, 1, 128, 8192, 1, 128},
-                                {3, 4, 1, 128, 8192, 1, 128},
-                                {3, 5, 1, 128, 8192, 1, 128},
-                                {3, 6, 1, 128, 8192, 1, 128},
-                                {3, 7, 1, 128, 8192, 1, 128},
-                                {3, 8, 1, 128, 8192, 1, 128},
-                                {3, 1, 1, 128, 12288, 1, 96},
-                                {3, 2, 1, 128, 12288, 1, 96},
-                                {3, 3, 1, 128, 12288, 1, 96},
-                                {3, 4, 1, 128, 12288, 1, 96},
-                                {3, 5, 1, 128, 12288, 1, 96},
-                                {3, 6, 1, 128, 12288, 1, 96},
-                                {3, 7, 1, 128, 12288, 1, 96},
-                                {3, 8, 1, 128, 12288, 1, 96},
-                                {3, 1, 1, 128, 14336, 1, 112},
-                                {3, 2, 1, 128, 14336, 1, 112},
-                                {3, 3, 1, 128, 14336, 1, 112},
-                                {3, 4, 1, 128, 14336, 1, 112},
-                                {3, 5, 1, 128, 14336, 1, 112},
-                                {3, 6, 1, 128, 14336, 1, 112},
-                                {3, 7, 1, 128, 14336, 1, 112},
-                                {3, 8, 1, 128, 14336, 1, 112},
-                                {3, 1, 1, 128, 16384, 1, 128},
-                                {3, 2, 1, 128, 16384, 1, 128},
-                                {3, 3, 1, 128, 16384, 1, 128},
-                                {3, 4, 1, 128, 16384, 1, 128},
-                                {3, 5, 1, 128, 16384, 1, 128},
-                                {3, 6, 1, 128, 16384, 1, 128},
-                                {3, 7, 1, 128, 16384, 1, 128},
-                                {3, 8, 1, 128, 16384, 1, 128},
-                                {3, 1, 1, 128, 24576, 3, 96},
-                                {3, 2, 1, 128, 24576, 3, 96},
-                                {3, 3, 1, 128, 24576, 3, 96},
-                                {3, 4, 1, 128, 24576, 3, 96},
-                                {3, 5, 1, 128, 24576, 1, 128},
-                                {3, 6, 1, 128, 24576, 1, 128},
-                                {3, 7, 1, 128, 24576, 1, 128},
-                                {3, 8, 1, 128, 24576, 1, 116},
-                                {3, 1, 1, 128, 51200, 2, 128},
-                                {3, 2, 1, 128, 51200, 2, 128},
-                                {3, 3, 1, 128, 51200, 3, 112},
-                                {3, 4, 1, 128, 51200, 2, 128},
-                                {3, 5, 1, 128, 51200, 2, 126},
-                                {3, 6, 1, 128, 51200, 2, 126},
-                                {3, 7, 1, 128, 51200, 2, 124},
-                                {3, 8, 1, 128, 51200, 1, 128},
-                                {3, 1, 1, 128, 128000, 3, 128},
-                                {3, 2, 1, 128, 128000, 3, 128},
-                                {3, 3, 1, 128, 128000, 3, 128},
-                                {3, 4, 1, 128, 128000, 3, 118},
-                                {3, 5, 1, 128, 128000, 3, 126},
-                                {3, 6, 1, 128, 128000, 2, 126},
-                                {3, 7, 1, 128, 128000, 2, 122},
-                                {3, 8, 1, 128, 128000, 1, 128},
-                                {3, 1, 1, 256, 256, 2, 4},
-                                {3, 2, 1, 256, 256, 2, 4},
-                                {3, 3, 1, 256, 256, 2, 4},
-                                {3, 4, 1, 256, 256, 2, 4},
-                                {3, 5, 1, 256, 256, 2, 4},
-                                {3, 6, 1, 256, 256, 2, 4},
-                                {3, 7, 1, 256, 256, 2, 4},
-                                {3, 8, 1, 256, 256, 2, 4},
-                                {3, 1, 1, 256, 512, 2, 8},
-                                {3, 2, 1, 256, 512, 2, 8},
-                                {3, 3, 1, 256, 512, 2, 8},
-                                {3, 4, 1, 256, 512, 2, 8},
-                                {3, 5, 1, 256, 512, 2, 8},
-                                {3, 6, 1, 256, 512, 2, 8},
-                                {3, 7, 1, 256, 512, 2, 8},
-                                {3, 8, 1, 256, 512, 2, 8},
-                                {3, 1, 1, 256, 1024, 2, 16},
-                                {3, 2, 1, 256, 1024, 2, 16},
-                                {3, 3, 1, 256, 1024, 2, 16},
-                                {3, 4, 1, 256, 1024, 2, 16},
-                                {3, 5, 1, 256, 1024, 2, 16},
-                                {3, 6, 1, 256, 1024, 2, 16},
-                                {3, 7, 1, 256, 1024, 2, 16},
-                                {3, 8, 1, 256, 1024, 2, 16},
-                                {3, 1, 1, 256, 2048, 2, 32},
-                                {3, 2, 1, 256, 2048, 2, 32},
-                                {3, 3, 1, 256, 2048, 1, 32},
-                                {3, 4, 1, 256, 2048, 2, 32},
-                                {3, 5, 1, 256, 2048, 1, 32},
-                                {3, 6, 1, 256, 2048, 1, 32},
-                                {3, 7, 1, 256, 2048, 2, 32},
-                                {3, 8, 1, 256, 2048, 1, 32},
-                                {3, 1, 1, 256, 3072, 2, 48},
-                                {3, 2, 1, 256, 3072, 2, 48},
-                                {3, 3, 1, 256, 3072, 2, 48},
-                                {3, 4, 1, 256, 3072, 2, 48},
-                                {3, 5, 1, 256, 3072, 1, 48},
-                                {3, 6, 1, 256, 3072, 1, 48},
-                                {3, 7, 1, 256, 3072, 1, 48},
-                                {3, 8, 1, 256, 3072, 1, 48},
-                                {3, 1, 1, 256, 4096, 2, 64},
-                                {3, 2, 1, 256, 4096, 1, 64},
-                                {3, 3, 1, 256, 4096, 1, 64},
-                                {3, 4, 1, 256, 4096, 2, 64},
-                                {3, 5, 1, 256, 4096, 1, 64},
-                                {3, 6, 1, 256, 4096, 1, 64},
-                                {3, 7, 1, 256, 4096, 1, 64},
-                                {3, 8, 1, 256, 4096, 1, 64},
-                                {3, 1, 1, 256, 5120, 2, 80},
-                                {3, 2, 1, 256, 5120, 1, 80},
-                                {3, 3, 1, 256, 5120, 1, 80},
-                                {3, 4, 1, 256, 5120, 2, 80},
-                                {3, 5, 1, 256, 5120, 1, 80},
-                                {3, 6, 1, 256, 5120, 1, 80},
-                                {3, 7, 1, 256, 5120, 1, 80},
-                                {3, 8, 1, 256, 5120, 1, 80},
-                                {3, 1, 1, 256, 8192, 2, 128},
-                                {3, 2, 1, 256, 8192, 2, 128},
-                                {3, 3, 1, 256, 8192, 1, 128},
-                                {3, 4, 1, 256, 8192, 1, 128},
-                                {3, 5, 1, 256, 8192, 1, 128},
-                                {3, 6, 1, 256, 8192, 1, 128},
-                                {3, 7, 1, 256, 8192, 1, 128},
-                                {3, 8, 1, 256, 8192, 1, 128},
-                                {3, 1, 1, 256, 12288, 2, 96},
-                                {3, 2, 1, 256, 12288, 2, 128},
-                                {3, 3, 1, 256, 12288, 1, 128},
-                                {3, 4, 1, 256, 12288, 2, 96},
-                                {3, 5, 1, 256, 12288, 1, 128},
-                                {3, 6, 1, 256, 12288, 2, 116},
-                                {3, 7, 1, 256, 12288, 2, 116},
-                                {3, 8, 1, 256, 12288, 1, 116},
-                                {3, 1, 1, 256, 14336, 2, 112},
-                                {3, 2, 1, 256, 14336, 2, 112},
-                                {3, 3, 1, 256, 14336, 2, 112},
-                                {3, 4, 1, 256, 14336, 2, 112},
-                                {3, 5, 1, 256, 14336, 1, 112},
-                                {3, 6, 1, 256, 14336, 1, 112},
-                                {3, 7, 1, 256, 14336, 1, 112},
-                                {3, 8, 1, 256, 14336, 1, 112},
-                                {3, 1, 1, 256, 16384, 2, 128},
-                                {3, 2, 1, 256, 16384, 2, 128},
-                                {3, 3, 1, 256, 16384, 2, 128},
-                                {3, 4, 1, 256, 16384, 1, 128},
-                                {3, 5, 1, 256, 16384, 1, 128},
-                                {3, 6, 1, 256, 16384, 1, 128},
-                                {3, 7, 1, 256, 16384, 1, 128},
-                                {3, 8, 1, 256, 16384, 2, 116},
-                                {3, 1, 1, 256, 24576, 3, 96},
-                                {3, 2, 1, 256, 24576, 3, 96},
-                                {3, 3, 1, 256, 24576, 3, 96},
-                                {3, 4, 1, 256, 24576, 2, 128},
-                                {3, 5, 1, 256, 24576, 1, 128},
-                                {3, 6, 1, 256, 24576, 1, 128},
-                                {3, 7, 1, 256, 24576, 1, 128},
-                                {3, 8, 1, 256, 24576, 1, 128},
-                                {3, 1, 1, 256, 51200, 3, 126},
-                                {3, 2, 1, 256, 51200, 3, 120},
-                                {3, 3, 1, 256, 51200, 3, 120},
-                                {3, 4, 1, 256, 51200, 2, 128},
-                                {3, 5, 1, 256, 51200, 2, 128},
-                                {3, 6, 1, 256, 51200, 2, 128},
-                                {3, 7, 1, 256, 51200, 2, 120},
-                                {3, 8, 1, 256, 51200, 1, 120},
-                                {3, 1, 1, 256, 128000, 3, 128},
-                                {3, 2, 1, 256, 128000, 3, 128},
-                                {3, 3, 1, 256, 128000, 3, 128},
-                                {3, 4, 1, 256, 128000, 3, 122},
-                                {3, 5, 1, 256, 128000, 2, 128},
-                                {3, 6, 1, 256, 128000, 2, 120},
-                                {3, 7, 1, 256, 128000, 2, 122},
-                                {3, 8, 1, 256, 128000, 1, 126},
-                                {3, 1, 1, 512, 256, 2, 4},
-                                {3, 2, 1, 512, 256, 2, 4},
-                                {3, 3, 1, 512, 256, 2, 8},
-                                {3, 4, 1, 512, 256, 2, 4},
-                                {3, 5, 1, 512, 256, 2, 8},
-                                {3, 6, 1, 512, 256, 2, 8},
-                                {3, 7, 1, 512, 256, 2, 8},
-                                {3, 8, 1, 512, 256, 2, 8},
-                                {3, 1, 1, 512, 512, 2, 8},
-                                {3, 2, 1, 512, 512, 2, 8},
-                                {3, 3, 1, 512, 512, 2, 16},
-                                {3, 4, 1, 512, 512, 2, 8},
-                                {3, 5, 1, 512, 512, 2, 16},
-                                {3, 6, 1, 512, 512, 2, 16},
-                                {3, 7, 1, 512, 512, 2, 16},
-                                {3, 8, 1, 512, 512, 2, 16},
-                                {3, 1, 1, 512, 1024, 2, 16},
-                                {3, 2, 1, 512, 1024, 2, 16},
-                                {3, 3, 1, 512, 1024, 2, 32},
-                                {3, 4, 1, 512, 1024, 2, 16},
-                                {3, 5, 1, 512, 1024, 2, 32},
-                                {3, 6, 1, 512, 1024, 2, 32},
-                                {3, 7, 1, 512, 1024, 2, 32},
-                                {3, 8, 1, 512, 1024, 2, 32},
-                                {3, 1, 1, 512, 2048, 2, 32},
-                                {3, 2, 1, 512, 2048, 2, 32},
-                                {3, 3, 1, 512, 2048, 1, 64},
-                                {3, 4, 1, 512, 2048, 2, 32},
-                                {3, 5, 1, 512, 2048, 1, 64},
-                                {3, 6, 1, 512, 2048, 1, 64},
-                                {3, 7, 1, 512, 2048, 1, 64},
-                                {3, 8, 1, 512, 2048, 1, 64},
-                                {3, 1, 1, 512, 3072, 2, 48},
-                                {3, 2, 1, 512, 3072, 2, 48},
-                                {3, 3, 1, 512, 3072, 1, 72},
-                                {3, 4, 1, 512, 3072, 2, 48},
-                                {3, 5, 1, 512, 3072, 1, 96},
-                                {3, 6, 1, 512, 3072, 1, 72},
-                                {3, 7, 1, 512, 3072, 1, 96},
-                                {3, 8, 1, 512, 3072, 1, 96},
-                                {3, 1, 1, 512, 4096, 2, 64},
-                                {3, 2, 1, 512, 4096, 2, 64},
-                                {3, 3, 1, 512, 4096, 1, 96},
-                                {3, 4, 1, 512, 4096, 2, 64},
-                                {3, 5, 1, 512, 4096, 1, 128},
-                                {3, 6, 1, 512, 4096, 1, 128},
-                                {3, 7, 1, 512, 4096, 1, 128},
-                                {3, 8, 1, 512, 4096, 1, 94},
-                                {3, 1, 1, 512, 5120, 2, 80},
-                                {3, 2, 1, 512, 5120, 2, 80},
-                                {3, 3, 1, 512, 5120, 1, 120},
-                                {3, 4, 1, 512, 5120, 2, 80},
-                                {3, 5, 1, 512, 5120, 1, 120},
-                                {3, 6, 1, 512, 5120, 1, 120},
-                                {3, 7, 1, 512, 5120, 1, 120},
-                                {3, 8, 1, 512, 5120, 2, 112},
-                                {3, 1, 1, 512, 8192, 2, 128},
-                                {3, 2, 1, 512, 8192, 2, 128},
-                                {3, 3, 1, 512, 8192, 2, 128},
-                                {3, 4, 1, 512, 8192, 2, 116},
-                                {3, 5, 1, 512, 8192, 2, 116},
-                                {3, 6, 1, 512, 8192, 1, 128},
-                                {3, 7, 1, 512, 8192, 2, 116},
-                                {3, 8, 1, 512, 8192, 1, 116},
-                                {3, 1, 1, 512, 12288, 2, 128},
-                                {3, 2, 1, 512, 12288, 2, 128},
-                                {3, 3, 1, 512, 12288, 1, 128},
-                                {3, 4, 1, 512, 12288, 2, 116},
-                                {3, 5, 1, 512, 12288, 2, 116},
-                                {3, 6, 1, 512, 12288, 1, 128},
-                                {3, 7, 1, 512, 12288, 2, 96},
-                                {3, 8, 1, 512, 12288, 1, 96},
-                                {3, 1, 1, 512, 14336, 2, 112},
-                                {3, 2, 1, 512, 14336, 2, 112},
-                                {3, 3, 1, 512, 14336, 3, 112},
-                                {3, 4, 1, 512, 14336, 2, 112},
-                                {3, 5, 1, 512, 14336, 2, 112},
-                                {3, 6, 1, 512, 14336, 1, 112},
-                                {3, 7, 1, 512, 14336, 1, 112},
-                                {3, 8, 1, 512, 14336, 1, 112},
-                                {3, 1, 1, 512, 16384, 2, 128},
-                                {3, 2, 1, 512, 16384, 2, 128},
-                                {3, 3, 1, 512, 16384, 3, 128},
-                                {3, 4, 1, 512, 16384, 2, 128},
-                                {3, 5, 1, 512, 16384, 1, 128},
-                                {3, 6, 1, 512, 16384, 1, 128},
-                                {3, 7, 1, 512, 16384, 1, 128},
-                                {3, 8, 1, 512, 16384, 1, 128},
-                                {3, 1, 1, 512, 24576, 3, 128},
-                                {3, 2, 1, 512, 24576, 3, 128},
-                                {3, 3, 1, 512, 24576, 3, 128},
-                                {3, 4, 1, 512, 24576, 2, 128},
-                                {3, 5, 1, 512, 24576, 2, 128},
-                                {3, 6, 1, 512, 24576, 1, 128},
-                                {3, 7, 1, 512, 24576, 1, 128},
-                                {3, 8, 1, 512, 24576, 1, 128},
-                                {3, 1, 1, 512, 51200, 3, 128},
-                                {3, 2, 1, 512, 51200, 3, 128},
-                                {3, 3, 1, 512, 51200, 3, 128},
-                                {3, 4, 1, 512, 51200, 2, 128},
-                                {3, 5, 1, 512, 51200, 2, 128},
-                                {3, 6, 1, 512, 51200, 1, 128},
-                                {3, 7, 1, 512, 51200, 2, 120},
-                                {3, 8, 1, 512, 51200, 1, 120},
-                                {3, 1, 1, 512, 128000, 3, 128},
-                                {3, 2, 1, 512, 128000, 3, 128},
-                                {3, 3, 1, 512, 128000, 3, 128},
-                                {3, 4, 1, 512, 128000, 3, 120},
-                                {3, 5, 1, 512, 128000, 2, 124},
-                                {3, 6, 1, 512, 128000, 2, 116},
-                                {3, 7, 1, 512, 128000, 2, 122},
-                                {3, 8, 1, 512, 128000, 1, 126},
-                                {3, 1, 1, 1024, 256, 2, 8},
-                                {3, 2, 1, 1024, 256, 2, 8},
-                                {3, 3, 1, 1024, 256, 2, 8},
-                                {3, 4, 1, 1024, 256, 2, 8},
-                                {3, 5, 1, 1024, 256, 2, 8},
-                                {3, 6, 1, 1024, 256, 2, 8},
-                                {3, 7, 1, 1024, 256, 2, 8},
-                                {3, 8, 1, 1024, 256, 2, 8},
-                                {3, 1, 1, 1024, 512, 2, 16},
-                                {3, 2, 1, 1024, 512, 2, 16},
-                                {3, 3, 1, 1024, 512, 2, 16},
-                                {3, 4, 1, 1024, 512, 2, 16},
-                                {3, 5, 1, 1024, 512, 2, 16},
-                                {3, 6, 1, 1024, 512, 2, 16},
-                                {3, 7, 1, 1024, 512, 2, 16},
-                                {3, 8, 1, 1024, 512, 2, 16},
-                                {3, 1, 1, 1024, 1024, 2, 32},
-                                {3, 2, 1, 1024, 1024, 2, 32},
-                                {3, 3, 1, 1024, 1024, 2, 32},
-                                {3, 4, 1, 1024, 1024, 2, 32},
-                                {3, 5, 1, 1024, 1024, 2, 32},
-                                {3, 6, 1, 1024, 1024, 2, 32},
-                                {3, 7, 1, 1024, 1024, 2, 32},
-                                {3, 8, 1, 1024, 1024, 2, 32},
-                                {3, 1, 1, 1024, 2048, 2, 64},
-                                {3, 2, 1, 1024, 2048, 2, 64},
-                                {3, 3, 1, 1024, 2048, 2, 64},
-                                {3, 4, 1, 1024, 2048, 2, 64},
-                                {3, 5, 1, 1024, 2048, 2, 64},
-                                {3, 6, 1, 1024, 2048, 2, 64},
-                                {3, 7, 1, 1024, 2048, 2, 64},
-                                {3, 8, 1, 1024, 2048, 1, 78},
-                                {3, 1, 1, 1024, 3072, 2, 96},
-                                {3, 2, 1, 1024, 3072, 2, 96},
-                                {3, 3, 1, 1024, 3072, 2, 96},
-                                {3, 4, 1, 1024, 3072, 2, 96},
-                                {3, 5, 1, 1024, 3072, 2, 88},
-                                {3, 6, 1, 1024, 3072, 2, 88},
-                                {3, 7, 1, 1024, 3072, 2, 88},
-                                {3, 8, 1, 1024, 3072, 2, 88},
-                                {3, 1, 1, 1024, 4096, 2, 128},
-                                {3, 2, 1, 1024, 4096, 2, 128},
-                                {3, 3, 1, 1024, 4096, 2, 128},
-                                {3, 4, 1, 1024, 4096, 2, 120},
-                                {3, 5, 1, 1024, 4096, 2, 116},
-                                {3, 6, 1, 1024, 4096, 1, 124},
-                                {3, 7, 1, 1024, 4096, 2, 116},
-                                {3, 8, 1, 1024, 4096, 1, 116},
-                                {3, 1, 1, 1024, 5120, 2, 120},
-                                {3, 2, 1, 1024, 5120, 2, 120},
-                                {3, 3, 1, 1024, 5120, 2, 112},
-                                {3, 4, 1, 1024, 5120, 2, 112},
-                                {3, 5, 1, 1024, 5120, 2, 112},
-                                {3, 6, 1, 1024, 5120, 2, 112},
-                                {3, 7, 1, 1024, 5120, 2, 112},
-                                {3, 8, 1, 1024, 5120, 1, 104},
-                                {3, 1, 1, 1024, 8192, 2, 128},
-                                {3, 2, 1, 1024, 8192, 2, 128},
-                                {3, 3, 1, 1024, 8192, 2, 128},
-                                {3, 4, 1, 1024, 8192, 2, 116},
-                                {3, 5, 1, 1024, 8192, 2, 124},
-                                {3, 6, 1, 1024, 8192, 1, 128},
-                                {3, 7, 1, 1024, 8192, 1, 128},
-                                {3, 8, 1, 1024, 8192, 1, 124},
-                                {3, 1, 1, 1024, 12288, 3, 128},
-                                {3, 2, 1, 1024, 12288, 3, 128},
-                                {3, 3, 1, 1024, 12288, 3, 128},
-                                {3, 4, 1, 1024, 12288, 2, 128},
-                                {3, 5, 1, 1024, 12288, 2, 128},
-                                {3, 6, 1, 1024, 12288, 1, 128},
-                                {3, 7, 1, 1024, 12288, 2, 96},
-                                {3, 8, 1, 1024, 12288, 1, 96},
-                                {3, 1, 1, 1024, 14336, 3, 128},
-                                {3, 2, 1, 1024, 14336, 3, 128},
-                                {3, 3, 1, 1024, 14336, 3, 128},
-                                {3, 4, 1, 1024, 14336, 2, 128},
-                                {3, 5, 1, 1024, 14336, 2, 112},
-                                {3, 6, 1, 1024, 14336, 1, 128},
-                                {3, 7, 1, 1024, 14336, 1, 128},
-                                {3, 8, 1, 1024, 14336, 1, 110},
-                                {3, 1, 1, 1024, 16384, 3, 128},
-                                {3, 2, 1, 1024, 16384, 3, 128},
-                                {3, 3, 1, 1024, 16384, 3, 128},
-                                {3, 4, 1, 1024, 16384, 2, 128},
-                                {3, 5, 1, 1024, 16384, 2, 128},
-                                {3, 6, 1, 1024, 16384, 1, 128},
-                                {3, 7, 1, 1024, 16384, 1, 128},
-                                {3, 8, 1, 1024, 16384, 1, 126},
-                                {3, 1, 1, 1024, 24576, 3, 128},
-                                {3, 2, 1, 1024, 24576, 3, 128},
-                                {3, 3, 1, 1024, 24576, 3, 128},
-                                {3, 4, 1, 1024, 24576, 2, 128},
-                                {3, 5, 1, 1024, 24576, 2, 124},
-                                {3, 6, 1, 1024, 24576, 1, 128},
-                                {3, 7, 1, 1024, 24576, 1, 128},
-                                {3, 8, 1, 1024, 24576, 1, 128},
-                                {3, 1, 1, 1024, 51200, 3, 128},
-                                {3, 2, 1, 1024, 51200, 3, 128},
-                                {3, 3, 1, 1024, 51200, 3, 126},
-                                {3, 4, 1, 1024, 51200, 3, 120},
-                                {3, 5, 1, 1024, 51200, 3, 120},
-                                {3, 6, 1, 1024, 51200, 1, 128},
-                                {3, 7, 1, 1024, 51200, 2, 110},
-                                {3, 8, 1, 1024, 51200, 1, 120},
-                                {3, 1, 1, 1024, 128000, 3, 128},
-                                {3, 2, 1, 1024, 128000, 3, 128},
-                                {3, 3, 1, 1024, 128000, 3, 128},
-                                {3, 4, 1, 1024, 128000, 3, 120},
-                                {3, 5, 1, 1024, 128000, 3, 120},
-                                {3, 6, 1, 1024, 128000, 2, 116},
-                                {3, 7, 1, 1024, 128000, 2, 104},
-                                {3, 8, 1, 1024, 128000, 3, 88},
-                                {3, 1, 1, 2048, 256, 2, 10},
-                                {3, 2, 1, 2048, 256, 2, 10},
-                                {3, 3, 1, 2048, 256, 2, 12},
-                                {3, 4, 1, 2048, 256, 2, 10},
-                                {3, 5, 1, 2048, 256, 2, 12},
-                                {3, 6, 1, 2048, 256, 2, 12},
-                                {3, 7, 1, 2048, 256, 2, 12},
-                                {3, 8, 1, 2048, 256, 2, 12},
-                                {3, 1, 1, 2048, 512, 2, 20},
-                                {3, 2, 1, 2048, 512, 2, 20},
-                                {3, 3, 1, 2048, 512, 2, 24},
-                                {3, 4, 1, 2048, 512, 2, 20},
-                                {3, 5, 1, 2048, 512, 2, 24},
-                                {3, 6, 1, 2048, 512, 2, 24},
-                                {3, 7, 1, 2048, 512, 2, 24},
-                                {3, 8, 1, 2048, 512, 2, 24},
-                                {3, 1, 1, 2048, 1024, 2, 40},
-                                {3, 2, 1, 2048, 1024, 2, 40},
-                                {3, 3, 1, 2048, 1024, 2, 48},
-                                {3, 4, 1, 2048, 1024, 2, 40},
-                                {3, 5, 1, 2048, 1024, 2, 48},
-                                {3, 6, 1, 2048, 1024, 2, 40},
-                                {3, 7, 1, 2048, 1024, 2, 48},
-                                {3, 8, 1, 2048, 1024, 2, 40},
-                                {3, 1, 1, 2048, 2048, 2, 80},
-                                {3, 2, 1, 2048, 2048, 2, 80},
-                                {3, 3, 1, 2048, 2048, 2, 96},
-                                {3, 4, 1, 2048, 2048, 2, 80},
-                                {3, 5, 1, 2048, 2048, 2, 80},
-                                {3, 6, 1, 2048, 2048, 2, 88},
-                                {3, 7, 1, 2048, 2048, 2, 88},
-                                {3, 8, 1, 2048, 2048, 2, 88},
-                                {3, 1, 1, 2048, 3072, 2, 120},
-                                {3, 2, 1, 2048, 3072, 2, 120},
-                                {3, 3, 1, 2048, 3072, 2, 112},
-                                {3, 4, 1, 2048, 3072, 2, 112},
-                                {3, 5, 1, 2048, 3072, 2, 112},
-                                {3, 6, 1, 2048, 3072, 1, 112},
-                                {3, 7, 1, 2048, 3072, 2, 96},
-                                {3, 8, 1, 2048, 3072, 1, 94},
-                                {3, 1, 1, 2048, 4096, 2, 128},
-                                {3, 2, 1, 2048, 4096, 2, 128},
-                                {3, 3, 1, 2048, 4096, 2, 128},
-                                {3, 4, 1, 2048, 4096, 2, 116},
-                                {3, 5, 1, 2048, 4096, 2, 124},
-                                {3, 6, 1, 2048, 4096, 1, 126},
-                                {3, 7, 1, 2048, 4096, 1, 126},
-                                {3, 8, 1, 2048, 4096, 1, 98},
-                                {3, 1, 1, 2048, 5120, 2, 120},
-                                {3, 2, 1, 2048, 5120, 2, 128},
-                                {3, 3, 1, 2048, 5120, 2, 128},
-                                {3, 4, 1, 2048, 5120, 2, 116},
-                                {3, 5, 1, 2048, 5120, 2, 118},
-                                {3, 6, 1, 2048, 5120, 1, 126},
-                                {3, 7, 1, 2048, 5120, 1, 126},
-                                {3, 8, 1, 2048, 5120, 1, 112},
-                                {3, 1, 1, 2048, 8192, 2, 128},
-                                {3, 2, 1, 2048, 8192, 3, 128},
-                                {3, 3, 1, 2048, 8192, 3, 128},
-                                {3, 4, 1, 2048, 8192, 2, 126},
-                                {3, 5, 1, 2048, 8192, 2, 124},
-                                {3, 6, 1, 2048, 8192, 1, 126},
-                                {3, 7, 1, 2048, 8192, 1, 128},
-                                {3, 8, 1, 2048, 8192, 1, 116},
-                                {3, 1, 1, 2048, 12288, 3, 128},
-                                {3, 2, 1, 2048, 12288, 3, 128},
-                                {3, 3, 1, 2048, 12288, 3, 128},
-                                {3, 4, 1, 2048, 12288, 2, 124},
-                                {3, 5, 1, 2048, 12288, 2, 122},
-                                {3, 6, 1, 2048, 12288, 1, 128},
-                                {3, 7, 1, 2048, 12288, 1, 126},
-                                {3, 8, 1, 2048, 12288, 1, 96},
-                                {3, 1, 1, 2048, 14336, 3, 128},
-                                {3, 2, 1, 2048, 14336, 3, 128},
-                                {3, 3, 1, 2048, 14336, 3, 128},
-                                {3, 4, 1, 2048, 14336, 2, 112},
-                                {3, 5, 1, 2048, 14336, 2, 112},
-                                {3, 6, 1, 2048, 14336, 1, 126},
-                                {3, 7, 1, 2048, 14336, 1, 128},
-                                {3, 8, 1, 2048, 14336, 1, 110},
-                                {3, 1, 1, 2048, 16384, 3, 128},
-                                {3, 2, 1, 2048, 16384, 3, 128},
-                                {3, 3, 1, 2048, 16384, 3, 128},
-                                {3, 4, 1, 2048, 16384, 2, 126},
-                                {3, 5, 1, 2048, 16384, 2, 128},
-                                {3, 6, 1, 2048, 16384, 1, 128},
-                                {3, 7, 1, 2048, 16384, 1, 128},
-                                {3, 8, 1, 2048, 16384, 1, 124},
-                                {3, 1, 1, 2048, 24576, 3, 128},
-                                {3, 2, 1, 2048, 24576, 3, 128},
-                                {3, 3, 1, 2048, 24576, 3, 128},
-                                {3, 4, 1, 2048, 24576, 2, 128},
-                                {3, 5, 1, 2048, 24576, 2, 120},
-                                {3, 6, 1, 2048, 24576, 1, 128},
-                                {3, 7, 1, 2048, 24576, 1, 126},
-                                {3, 8, 1, 2048, 24576, 1, 96},
-                                {3, 1, 1, 2048, 51200, 3, 128},
-                                {3, 2, 1, 2048, 51200, 3, 128},
-                                {3, 3, 1, 2048, 51200, 3, 126},
-                                {3, 4, 1, 2048, 51200, 3, 112},
-                                {3, 5, 1, 2048, 51200, 3, 122},
-                                {3, 6, 1, 2048, 51200, 1, 128},
-                                {3, 7, 1, 2048, 51200, 2, 110},
-                                {3, 8, 1, 2048, 51200, 1, 124},
-                                {3, 1, 1, 2048, 128000, 3, 128},
-                                {3, 2, 1, 2048, 128000, 3, 128},
-                                {3, 3, 1, 2048, 128000, 3, 126},
-                                {3, 4, 1, 2048, 128000, 3, 126},
-                                {3, 5, 1, 2048, 128000, 3, 124},
-                                {3, 6, 1, 2048, 128000, 3, 116},
-                                {3, 7, 1, 2048, 128000, 1, 128},
-                                {3, 8, 1, 2048, 128000, 3, 100},
-                                {3, 1, 1, 3072, 256, 2, 12},
-                                {3, 2, 1, 3072, 256, 2, 12},
-                                {3, 3, 1, 3072, 256, 2, 16},
-                                {3, 4, 1, 3072, 256, 2, 12},
-                                {3, 5, 1, 3072, 256, 2, 16},
-                                {3, 6, 1, 3072, 256, 2, 16},
-                                {3, 7, 1, 3072, 256, 2, 16},
-                                {3, 8, 1, 3072, 256, 2, 16},
-                                {3, 1, 1, 3072, 512, 2, 24},
-                                {3, 2, 1, 3072, 512, 2, 24},
-                                {3, 3, 1, 3072, 512, 2, 32},
-                                {3, 4, 1, 3072, 512, 2, 24},
-                                {3, 5, 1, 3072, 512, 2, 32},
-                                {3, 6, 1, 3072, 512, 2, 32},
-                                {3, 7, 1, 3072, 512, 2, 32},
-                                {3, 8, 1, 3072, 512, 2, 32},
-                                {3, 1, 1, 3072, 1024, 2, 48},
-                                {3, 2, 1, 3072, 1024, 2, 48},
-                                {3, 3, 1, 3072, 1024, 2, 64},
-                                {3, 4, 1, 3072, 1024, 2, 48},
-                                {3, 5, 1, 3072, 1024, 2, 56},
-                                {3, 6, 1, 3072, 1024, 2, 48},
-                                {3, 7, 1, 3072, 1024, 2, 56},
-                                {3, 8, 1, 3072, 1024, 2, 56},
-                                {3, 1, 1, 3072, 2048, 2, 96},
-                                {3, 2, 1, 3072, 2048, 2, 96},
-                                {3, 3, 1, 3072, 2048, 2, 128},
-                                {3, 4, 1, 3072, 2048, 2, 88},
-                                {3, 5, 1, 3072, 2048, 2, 96},
-                                {3, 6, 1, 3072, 2048, 2, 96},
-                                {3, 7, 1, 3072, 2048, 2, 96},
-                                {3, 8, 1, 3072, 2048, 1, 88},
-                                {3, 1, 1, 3072, 3072, 2, 128},
-                                {3, 2, 1, 3072, 3072, 2, 116},
-                                {3, 3, 1, 3072, 3072, 2, 116},
-                                {3, 4, 1, 3072, 3072, 2, 116},
-                                {3, 5, 1, 3072, 3072, 2, 118},
-                                {3, 6, 1, 3072, 3072, 1, 118},
-                                {3, 7, 1, 3072, 3072, 2, 94},
-                                {3, 8, 1, 3072, 3072, 1, 96},
-                                {3, 1, 1, 3072, 4096, 2, 128},
-                                {3, 2, 1, 3072, 4096, 2, 128},
-                                {3, 3, 1, 3072, 4096, 2, 128},
-                                {3, 4, 1, 3072, 4096, 2, 128},
-                                {3, 5, 1, 3072, 4096, 2, 128},
-                                {3, 6, 1, 3072, 4096, 1, 124},
-                                {3, 7, 1, 3072, 4096, 1, 128},
-                                {3, 8, 1, 3072, 4096, 1, 98},
-                                {3, 1, 1, 3072, 5120, 2, 128},
-                                {3, 2, 1, 3072, 5120, 2, 128},
-                                {3, 3, 1, 3072, 5120, 3, 128},
-                                {3, 4, 1, 3072, 5120, 2, 124},
-                                {3, 5, 1, 3072, 5120, 2, 120},
-                                {3, 6, 1, 3072, 5120, 1, 126},
-                                {3, 7, 1, 3072, 5120, 1, 128},
-                                {3, 8, 1, 3072, 5120, 1, 98},
-                                {3, 1, 1, 3072, 8192, 3, 128},
-                                {3, 2, 1, 3072, 8192, 3, 128},
-                                {3, 3, 1, 3072, 8192, 3, 128},
-                                {3, 4, 1, 3072, 8192, 2, 122},
-                                {3, 5, 1, 3072, 8192, 2, 126},
-                                {3, 6, 1, 3072, 8192, 1, 128},
-                                {3, 7, 1, 3072, 8192, 1, 128},
-                                {3, 8, 1, 3072, 8192, 1, 116},
-                                {3, 1, 1, 3072, 12288, 3, 128},
-                                {3, 2, 1, 3072, 12288, 3, 128},
-                                {3, 3, 1, 3072, 12288, 3, 128},
-                                {3, 4, 1, 3072, 12288, 2, 128},
-                                {3, 5, 1, 3072, 12288, 2, 128},
-                                {3, 6, 1, 3072, 12288, 1, 128},
-                                {3, 7, 1, 3072, 12288, 1, 126},
-                                {3, 8, 1, 3072, 12288, 1, 96},
-                                {3, 1, 1, 3072, 14336, 3, 128},
-                                {3, 2, 1, 3072, 14336, 3, 128},
-                                {3, 3, 1, 3072, 14336, 3, 128},
-                                {3, 4, 1, 3072, 14336, 2, 112},
-                                {3, 5, 1, 3072, 14336, 2, 112},
-                                {3, 6, 1, 3072, 14336, 1, 128},
-                                {3, 7, 1, 3072, 14336, 1, 128},
-                                {3, 8, 1, 3072, 14336, 1, 110},
-                                {3, 1, 1, 3072, 16384, 3, 128},
-                                {3, 2, 1, 3072, 16384, 3, 128},
-                                {3, 3, 1, 3072, 16384, 3, 128},
-                                {3, 4, 1, 3072, 16384, 2, 128},
-                                {3, 5, 1, 3072, 16384, 2, 128},
-                                {3, 6, 1, 3072, 16384, 1, 128},
-                                {3, 7, 1, 3072, 16384, 1, 128},
-                                {3, 8, 1, 3072, 16384, 1, 126},
-                                {3, 1, 1, 3072, 24576, 3, 128},
-                                {3, 2, 1, 3072, 24576, 3, 128},
-                                {3, 3, 1, 3072, 24576, 3, 128},
-                                {3, 4, 1, 3072, 24576, 2, 126},
-                                {3, 5, 1, 3072, 24576, 3, 120},
-                                {3, 6, 1, 3072, 24576, 1, 128},
-                                {3, 7, 1, 3072, 24576, 1, 126},
-                                {3, 8, 1, 3072, 24576, 1, 96},
-                                {3, 1, 1, 3072, 51200, 3, 128},
-                                {3, 2, 1, 3072, 51200, 3, 128},
-                                {3, 3, 1, 3072, 51200, 3, 128},
-                                {3, 4, 1, 3072, 51200, 3, 102},
-                                {3, 5, 1, 3072, 51200, 3, 120},
-                                {3, 6, 1, 3072, 51200, 2, 128},
-                                {3, 7, 1, 3072, 51200, 2, 102},
-                                {3, 8, 1, 3072, 51200, 1, 124},
-                                {3, 1, 1, 3072, 128000, 3, 128},
-                                {3, 2, 1, 3072, 128000, 3, 128},
-                                {3, 3, 1, 3072, 128000, 3, 126},
-                                {3, 4, 1, 3072, 128000, 3, 124},
-                                {3, 5, 1, 3072, 128000, 3, 128},
-                                {3, 6, 1, 3072, 128000, 3, 116},
-                                {3, 7, 1, 3072, 128000, 2, 122},
-                                {3, 8, 1, 3072, 128000, 3, 86},
-                                {3, 1, 1, 4096, 256, 2, 16},
-                                {3, 2, 1, 4096, 256, 2, 16},
-                                {3, 3, 1, 4096, 256, 2, 16},
-                                {3, 4, 1, 4096, 256, 2, 16},
-                                {3, 5, 1, 4096, 256, 2, 16},
-                                {3, 6, 1, 4096, 256, 2, 16},
-                                {3, 7, 1, 4096, 256, 2, 16},
-                                {3, 8, 1, 4096, 256, 2, 16},
-                                {3, 1, 1, 4096, 512, 2, 32},
-                                {3, 2, 1, 4096, 512, 2, 32},
-                                {3, 3, 1, 4096, 512, 2, 32},
-                                {3, 4, 1, 4096, 512, 2, 32},
-                                {3, 5, 1, 4096, 512, 2, 32},
-                                {3, 6, 1, 4096, 512, 2, 32},
-                                {3, 7, 1, 4096, 512, 2, 32},
-                                {3, 8, 1, 4096, 512, 2, 32},
-                                {3, 1, 1, 4096, 1024, 2, 64},
-                                {3, 2, 1, 4096, 1024, 2, 64},
-                                {3, 3, 1, 4096, 1024, 2, 64},
-                                {3, 4, 1, 4096, 1024, 2, 56},
-                                {3, 5, 1, 4096, 1024, 2, 64},
-                                {3, 6, 1, 4096, 1024, 2, 62},
-                                {3, 7, 1, 4096, 1024, 2, 62},
-                                {3, 8, 1, 4096, 1024, 2, 62},
-                                {3, 1, 1, 4096, 2048, 2, 128},
-                                {3, 2, 1, 4096, 2048, 2, 128},
-                                {3, 3, 1, 4096, 2048, 2, 128},
-                                {3, 4, 1, 4096, 2048, 2, 116},
-                                {3, 5, 1, 4096, 2048, 2, 116},
-                                {3, 6, 1, 4096, 2048, 2, 92},
-                                {3, 7, 1, 4096, 2048, 2, 94},
-                                {3, 8, 1, 4096, 2048, 1, 96},
-                                {3, 1, 1, 4096, 3072, 2, 128},
-                                {3, 2, 1, 4096, 3072, 2, 128},
-                                {3, 3, 1, 4096, 3072, 2, 128},
-                                {3, 4, 1, 4096, 3072, 2, 110},
-                                {3, 5, 1, 4096, 3072, 2, 110},
-                                {3, 6, 1, 4096, 3072, 1, 128},
-                                {3, 7, 1, 4096, 3072, 2, 96},
-                                {3, 8, 1, 4096, 3072, 1, 96},
-                                {3, 1, 1, 4096, 4096, 2, 128},
-                                {3, 2, 1, 4096, 4096, 2, 128},
-                                {3, 3, 1, 4096, 4096, 2, 126},
-                                {3, 4, 1, 4096, 4096, 2, 128},
-                                {3, 5, 1, 4096, 4096, 2, 126},
-                                {3, 6, 1, 4096, 4096, 1, 124},
-                                {3, 7, 1, 4096, 4096, 1, 126},
-                                {3, 8, 1, 4096, 4096, 1, 102},
-                                {3, 1, 1, 4096, 5120, 2, 128},
-                                {3, 2, 1, 4096, 5120, 2, 128},
-                                {3, 3, 1, 4096, 5120, 3, 128},
-                                {3, 4, 1, 4096, 5120, 2, 118},
-                                {3, 5, 1, 4096, 5120, 2, 128},
-                                {3, 6, 1, 4096, 5120, 1, 122},
-                                {3, 7, 1, 4096, 5120, 1, 128},
-                                {3, 8, 1, 4096, 5120, 1, 96},
-                                {3, 1, 1, 4096, 8192, 3, 128},
-                                {3, 2, 1, 4096, 8192, 3, 128},
-                                {3, 3, 1, 4096, 8192, 3, 128},
-                                {3, 4, 1, 4096, 8192, 2, 128},
-                                {3, 5, 1, 4096, 8192, 2, 128},
-                                {3, 6, 1, 4096, 8192, 1, 128},
-                                {3, 7, 1, 4096, 8192, 1, 128},
-                                {3, 8, 1, 4096, 8192, 1, 126},
-                                {3, 1, 1, 4096, 12288, 3, 128},
-                                {3, 2, 1, 4096, 12288, 3, 128},
-                                {3, 3, 1, 4096, 12288, 3, 128},
-                                {3, 4, 1, 4096, 12288, 2, 128},
-                                {3, 5, 1, 4096, 12288, 2, 128},
-                                {3, 6, 1, 4096, 12288, 1, 128},
-                                {3, 7, 1, 4096, 12288, 1, 126},
-                                {3, 8, 1, 4096, 12288, 1, 96},
-                                {3, 1, 1, 4096, 14336, 3, 128},
-                                {3, 2, 1, 4096, 14336, 3, 128},
-                                {3, 3, 1, 4096, 14336, 3, 128},
-                                {3, 4, 1, 4096, 14336, 2, 122},
-                                {3, 5, 1, 4096, 14336, 2, 112},
-                                {3, 6, 1, 4096, 14336, 1, 128},
-                                {3, 7, 1, 4096, 14336, 1, 128},
-                                {3, 8, 1, 4096, 14336, 1, 110},
-                                {3, 1, 1, 4096, 16384, 3, 128},
-                                {3, 2, 1, 4096, 16384, 3, 128},
-                                {3, 3, 1, 4096, 16384, 3, 128},
-                                {3, 4, 1, 4096, 16384, 2, 126},
-                                {3, 5, 1, 4096, 16384, 2, 128},
-                                {3, 6, 1, 4096, 16384, 1, 128},
-                                {3, 7, 1, 4096, 16384, 1, 128},
-                                {3, 8, 1, 4096, 16384, 2, 128},
-                                {3, 1, 1, 4096, 24576, 3, 128},
-                                {3, 2, 1, 4096, 24576, 3, 128},
-                                {3, 3, 1, 4096, 24576, 3, 128},
-                                {3, 4, 1, 4096, 24576, 3, 96},
-                                {3, 5, 1, 4096, 24576, 3, 104},
-                                {3, 6, 1, 4096, 24576, 1, 128},
-                                {3, 7, 1, 4096, 24576, 1, 126},
-                                {3, 8, 1, 4096, 24576, 1, 96},
-                                {3, 1, 1, 4096, 51200, 3, 128},
-                                {3, 2, 1, 4096, 51200, 3, 128},
-                                {3, 3, 1, 4096, 51200, 3, 128},
-                                {3, 4, 1, 4096, 51200, 3, 120},
-                                {3, 5, 1, 4096, 51200, 3, 120},
-                                {3, 6, 1, 4096, 51200, 3, 102},
-                                {3, 7, 1, 4096, 51200, 2, 126},
-                                {3, 8, 1, 4096, 51200, 1, 124},
-                                {3, 1, 1, 4096, 128000, 3, 128},
-                                {3, 2, 1, 4096, 128000, 3, 128},
-                                {3, 3, 1, 4096, 128000, 3, 128},
-                                {3, 4, 1, 4096, 128000, 3, 124},
-                                {3, 5, 1, 4096, 128000, 3, 128},
-                                {3, 6, 1, 4096, 128000, 3, 126},
-                                {3, 7, 1, 4096, 128000, 3, 104},
-                                {3, 8, 1, 4096, 128000, 3, 86},
-                                {3, 1, 1, 5120, 256, 2, 18},
-                                {3, 2, 1, 5120, 256, 2, 18},
-                                {3, 3, 1, 5120, 256, 2, 20},
-                                {3, 4, 1, 5120, 256, 2, 18},
-                                {3, 5, 1, 5120, 256, 2, 20},
-                                {3, 6, 1, 5120, 256, 2, 20},
-                                {3, 7, 1, 5120, 256, 2, 20},
-                                {3, 8, 1, 5120, 256, 2, 20},
-                                {3, 1, 1, 5120, 512, 2, 32},
-                                {3, 2, 1, 5120, 512, 2, 36},
-                                {3, 3, 1, 5120, 512, 2, 40},
-                                {3, 4, 1, 5120, 512, 2, 32},
-                                {3, 5, 1, 5120, 512, 2, 40},
-                                {3, 6, 1, 5120, 512, 2, 32},
-                                {3, 7, 1, 5120, 512, 2, 32},
-                                {3, 8, 1, 5120, 512, 2, 32},
-                                {3, 1, 1, 5120, 1024, 2, 72},
-                                {3, 2, 1, 5120, 1024, 2, 72},
-                                {3, 3, 1, 5120, 1024, 2, 72},
-                                {3, 4, 1, 5120, 1024, 2, 64},
-                                {3, 5, 1, 5120, 1024, 2, 72},
-                                {3, 6, 1, 5120, 1024, 2, 72},
-                                {3, 7, 1, 5120, 1024, 2, 72},
-                                {3, 8, 1, 5120, 1024, 2, 72},
-                                {3, 1, 1, 5120, 2048, 2, 128},
-                                {3, 2, 1, 5120, 2048, 2, 128},
-                                {3, 3, 1, 5120, 2048, 2, 124},
-                                {3, 4, 1, 5120, 2048, 2, 112},
-                                {3, 5, 1, 5120, 2048, 2, 110},
-                                {3, 6, 1, 5120, 2048, 2, 90},
-                                {3, 7, 1, 5120, 2048, 2, 90},
-                                {3, 8, 1, 5120, 2048, 2, 80},
-                                {3, 1, 1, 5120, 3072, 2, 128},
-                                {3, 2, 1, 5120, 3072, 2, 128},
-                                {3, 3, 1, 5120, 3072, 2, 128},
-                                {3, 4, 1, 5120, 3072, 2, 116},
-                                {3, 5, 1, 5120, 3072, 2, 120},
-                                {3, 6, 1, 5120, 3072, 1, 128},
-                                {3, 7, 1, 5120, 3072, 2, 94},
-                                {3, 8, 1, 5120, 3072, 1, 96},
-                                {3, 1, 1, 5120, 4096, 2, 128},
-                                {3, 2, 1, 5120, 4096, 2, 128},
-                                {3, 3, 1, 5120, 4096, 3, 128},
-                                {3, 4, 1, 5120, 4096, 2, 128},
-                                {3, 5, 1, 5120, 4096, 2, 126},
-                                {3, 6, 1, 5120, 4096, 1, 126},
-                                {3, 7, 1, 5120, 4096, 1, 128},
-                                {3, 8, 1, 5120, 4096, 1, 94},
-                                {3, 1, 1, 5120, 5120, 3, 128},
-                                {3, 2, 1, 5120, 5120, 3, 128},
-                                {3, 3, 1, 5120, 5120, 3, 128},
-                                {3, 4, 1, 5120, 5120, 2, 118},
-                                {3, 5, 1, 5120, 5120, 2, 116},
-                                {3, 6, 1, 5120, 5120, 1, 122},
-                                {3, 7, 1, 5120, 5120, 1, 128},
-                                {3, 8, 1, 5120, 5120, 1, 102},
-                                {3, 1, 1, 5120, 8192, 3, 128},
-                                {3, 2, 1, 5120, 8192, 3, 128},
-                                {3, 3, 1, 5120, 8192, 3, 128},
-                                {3, 4, 1, 5120, 8192, 2, 128},
-                                {3, 5, 1, 5120, 8192, 2, 128},
-                                {3, 6, 1, 5120, 8192, 1, 128},
-                                {3, 7, 1, 5120, 8192, 1, 128},
-                                {3, 8, 1, 5120, 8192, 1, 126},
-                                {3, 1, 1, 5120, 12288, 3, 128},
-                                {3, 2, 1, 5120, 12288, 3, 128},
-                                {3, 3, 1, 5120, 12288, 3, 128},
-                                {3, 4, 1, 5120, 12288, 2, 128},
-                                {3, 5, 1, 5120, 12288, 2, 122},
-                                {3, 6, 1, 5120, 12288, 1, 128},
-                                {3, 7, 1, 5120, 12288, 1, 126},
-                                {3, 8, 1, 5120, 12288, 1, 96},
-                                {3, 1, 1, 5120, 14336, 3, 128},
-                                {3, 2, 1, 5120, 14336, 3, 128},
-                                {3, 3, 1, 5120, 14336, 3, 128},
-                                {3, 4, 1, 5120, 14336, 3, 112},
-                                {3, 5, 1, 5120, 14336, 2, 112},
-                                {3, 6, 1, 5120, 14336, 1, 128},
-                                {3, 7, 1, 5120, 14336, 1, 128},
-                                {3, 8, 1, 5120, 14336, 1, 110},
-                                {3, 1, 1, 5120, 16384, 3, 128},
-                                {3, 2, 1, 5120, 16384, 3, 128},
-                                {3, 3, 1, 5120, 16384, 3, 128},
-                                {3, 4, 1, 5120, 16384, 2, 128},
-                                {3, 5, 1, 5120, 16384, 2, 128},
-                                {3, 6, 1, 5120, 16384, 1, 128},
-                                {3, 7, 1, 5120, 16384, 1, 128},
-                                {3, 8, 1, 5120, 16384, 1, 126},
-                                {3, 1, 1, 5120, 24576, 3, 128},
-                                {3, 2, 1, 5120, 24576, 3, 128},
-                                {3, 3, 1, 5120, 24576, 3, 128},
-                                {3, 4, 1, 5120, 24576, 3, 96},
-                                {3, 5, 1, 5120, 24576, 3, 102},
-                                {3, 6, 1, 5120, 24576, 1, 128},
-                                {3, 7, 1, 5120, 24576, 1, 126},
-                                {3, 8, 1, 5120, 24576, 3, 96},
-                                {3, 1, 1, 5120, 51200, 3, 128},
-                                {3, 2, 1, 5120, 51200, 3, 128},
-                                {3, 3, 1, 5120, 51200, 3, 126},
-                                {3, 4, 1, 5120, 51200, 3, 116},
-                                {3, 5, 1, 5120, 51200, 3, 128},
-                                {3, 6, 1, 5120, 51200, 3, 108},
-                                {3, 7, 1, 5120, 51200, 2, 102},
-                                {3, 8, 1, 5120, 51200, 1, 124},
-                                {3, 1, 1, 5120, 128000, 3, 128},
-                                {3, 2, 1, 5120, 128000, 3, 128},
-                                {3, 3, 1, 5120, 128000, 3, 128},
-                                {3, 4, 1, 5120, 128000, 3, 126},
-                                {3, 5, 1, 5120, 128000, 3, 126},
-                                {3, 6, 1, 5120, 128000, 3, 116},
-                                {3, 7, 1, 5120, 128000, 3, 104},
-                                {3, 8, 1, 5120, 128000, 3, 96},
-                                {3, 1, 1, 8192, 256, 2, 20},
-                                {3, 2, 1, 8192, 256, 2, 20},
-                                {3, 3, 1, 8192, 256, 2, 24},
-                                {3, 4, 1, 8192, 256, 2, 20},
-                                {3, 5, 1, 8192, 256, 2, 26},
-                                {3, 6, 1, 8192, 256, 2, 26},
-                                {3, 7, 1, 8192, 256, 2, 26},
-                                {3, 8, 1, 8192, 256, 2, 26},
-                                {3, 1, 1, 8192, 512, 2, 48},
-                                {3, 2, 1, 8192, 512, 2, 40},
-                                {3, 3, 1, 8192, 512, 2, 54},
-                                {3, 4, 1, 8192, 512, 2, 32},
-                                {3, 5, 1, 8192, 512, 2, 40},
-                                {3, 6, 1, 8192, 512, 2, 40},
-                                {3, 7, 1, 8192, 512, 2, 54},
-                                {3, 8, 1, 8192, 512, 2, 54},
-                                {3, 1, 1, 8192, 1024, 2, 86},
-                                {3, 2, 1, 8192, 1024, 2, 72},
-                                {3, 3, 1, 8192, 1024, 2, 88},
-                                {3, 4, 1, 8192, 1024, 2, 72},
-                                {3, 5, 1, 8192, 1024, 2, 86},
-                                {3, 6, 1, 8192, 1024, 2, 86},
-                                {3, 7, 1, 8192, 1024, 2, 86},
-                                {3, 8, 1, 8192, 1024, 2, 76},
-                                {3, 1, 1, 8192, 2048, 2, 128},
-                                {3, 2, 1, 8192, 2048, 2, 128},
-                                {3, 3, 1, 8192, 2048, 2, 128},
-                                {3, 4, 1, 8192, 2048, 2, 112},
-                                {3, 5, 1, 8192, 2048, 2, 114},
-                                {3, 6, 1, 8192, 2048, 1, 126},
-                                {3, 7, 1, 8192, 2048, 2, 96},
-                                {3, 8, 1, 8192, 2048, 1, 96},
-                                {3, 1, 1, 8192, 3072, 2, 128},
-                                {3, 2, 1, 8192, 3072, 2, 128},
-                                {3, 3, 1, 8192, 3072, 3, 128},
-                                {3, 4, 1, 8192, 3072, 2, 118},
-                                {3, 5, 1, 8192, 3072, 2, 122},
-                                {3, 6, 1, 8192, 3072, 1, 126},
-                                {3, 7, 1, 8192, 3072, 2, 96},
-                                {3, 8, 1, 8192, 3072, 1, 96},
-                                {3, 1, 1, 8192, 4096, 3, 128},
-                                {3, 2, 1, 8192, 4096, 3, 128},
-                                {3, 3, 1, 8192, 4096, 3, 126},
-                                {3, 4, 1, 8192, 4096, 2, 128},
-                                {3, 5, 1, 8192, 4096, 2, 126},
-                                {3, 6, 1, 8192, 4096, 1, 128},
-                                {3, 7, 1, 8192, 4096, 1, 126},
-                                {3, 8, 1, 8192, 4096, 1, 98},
-                                {3, 1, 1, 8192, 5120, 3, 128},
-                                {3, 2, 1, 8192, 5120, 3, 128},
-                                {3, 3, 1, 8192, 5120, 3, 128},
-                                {3, 4, 1, 8192, 5120, 2, 118},
-                                {3, 5, 1, 8192, 5120, 2, 120},
-                                {3, 6, 1, 8192, 5120, 1, 126},
-                                {3, 7, 1, 8192, 5120, 1, 126},
-                                {3, 8, 1, 8192, 5120, 1, 96},
-                                {3, 1, 1, 8192, 8192, 3, 128},
-                                {3, 2, 1, 8192, 8192, 3, 128},
-                                {3, 3, 1, 8192, 8192, 3, 128},
-                                {3, 4, 1, 8192, 8192, 2, 128},
-                                {3, 5, 1, 8192, 8192, 2, 128},
-                                {3, 6, 1, 8192, 8192, 1, 128},
-                                {3, 7, 1, 8192, 8192, 1, 128},
-                                {3, 8, 1, 8192, 8192, 1, 126},
-                                {3, 1, 1, 8192, 12288, 3, 128},
-                                {3, 2, 1, 8192, 12288, 3, 128},
-                                {3, 3, 1, 8192, 12288, 3, 128},
-                                {3, 4, 1, 8192, 12288, 3, 96},
-                                {3, 5, 1, 8192, 12288, 3, 126},
-                                {3, 6, 1, 8192, 12288, 1, 128},
-                                {3, 7, 1, 8192, 12288, 1, 126},
-                                {3, 8, 1, 8192, 12288, 1, 96},
-                                {3, 1, 1, 8192, 14336, 3, 128},
-                                {3, 2, 1, 8192, 14336, 3, 128},
-                                {3, 3, 1, 8192, 14336, 3, 128},
-                                {3, 4, 1, 8192, 14336, 3, 112},
-                                {3, 5, 1, 8192, 14336, 2, 112},
-                                {3, 6, 1, 8192, 14336, 1, 128},
-                                {3, 7, 1, 8192, 14336, 1, 128},
-                                {3, 8, 1, 8192, 14336, 1, 114},
-                                {3, 1, 1, 8192, 16384, 3, 128},
-                                {3, 2, 1, 8192, 16384, 3, 128},
-                                {3, 3, 1, 8192, 16384, 3, 128},
-                                {3, 4, 1, 8192, 16384, 3, 126},
-                                {3, 5, 1, 8192, 16384, 3, 128},
-                                {3, 6, 1, 8192, 16384, 1, 128},
-                                {3, 7, 1, 8192, 16384, 1, 128},
-                                {3, 8, 1, 8192, 16384, 2, 128},
-                                {3, 1, 1, 8192, 24576, 3, 128},
-                                {3, 2, 1, 8192, 24576, 3, 128},
-                                {3, 3, 1, 8192, 24576, 3, 128},
-                                {3, 4, 1, 8192, 24576, 3, 96},
-                                {3, 5, 1, 8192, 24576, 3, 120},
-                                {3, 6, 1, 8192, 24576, 1, 128},
-                                {3, 7, 1, 8192, 24576, 2, 96},
-                                {3, 8, 1, 8192, 24576, 3, 96},
-                                {3, 1, 1, 8192, 51200, 3, 128},
-                                {3, 2, 1, 8192, 51200, 3, 128},
-                                {3, 3, 1, 8192, 51200, 3, 128},
-                                {3, 4, 1, 8192, 51200, 3, 120},
-                                {3, 5, 1, 8192, 51200, 3, 116},
-                                {3, 6, 1, 8192, 51200, 3, 128},
-                                {3, 7, 1, 8192, 51200, 2, 122},
-                                {3, 8, 1, 8192, 51200, 3, 86},
-                                {3, 1, 1, 8192, 128000, 3, 128},
-                                {3, 2, 1, 8192, 128000, 3, 128},
-                                {3, 3, 1, 8192, 128000, 3, 128},
-                                {3, 4, 1, 8192, 128000, 3, 126},
-                                {3, 5, 1, 8192, 128000, 3, 124},
-                                {3, 6, 1, 8192, 128000, 3, 116},
-                                {3, 7, 1, 8192, 128000, 3, 104},
-                                {3, 8, 1, 8192, 128000, 3, 88},
-                                {3, 1, 1, 12288, 256, 2, 26},
-                                {3, 2, 1, 12288, 256, 2, 26},
-                                {3, 3, 1, 12288, 256, 2, 32},
-                                {3, 4, 1, 12288, 256, 2, 24},
-                                {3, 5, 1, 12288, 256, 2, 24},
-                                {3, 6, 1, 12288, 256, 2, 32},
-                                {3, 7, 1, 12288, 256, 2, 32},
-                                {3, 8, 1, 12288, 256, 2, 32},
-                                {3, 1, 1, 12288, 512, 2, 48},
-                                {3, 2, 1, 12288, 512, 2, 52},
-                                {3, 3, 1, 12288, 512, 2, 62},
-                                {3, 4, 1, 12288, 512, 2, 52},
-                                {3, 5, 1, 12288, 512, 2, 56},
-                                {3, 6, 1, 12288, 512, 2, 56},
-                                {3, 7, 1, 12288, 512, 2, 64},
-                                {3, 8, 1, 12288, 512, 2, 62},
-                                {3, 1, 1, 12288, 1024, 2, 102},
-                                {3, 2, 1, 12288, 1024, 2, 104},
-                                {3, 3, 1, 12288, 1024, 2, 124},
-                                {3, 4, 1, 12288, 1024, 2, 96},
-                                {3, 5, 1, 12288, 1024, 2, 96},
-                                {3, 6, 1, 12288, 1024, 2, 96},
-                                {3, 7, 1, 12288, 1024, 2, 88},
-                                {3, 8, 1, 12288, 1024, 2, 76},
-                                {3, 1, 1, 12288, 2048, 2, 128},
-                                {3, 2, 1, 12288, 2048, 2, 128},
-                                {3, 3, 1, 12288, 2048, 2, 128},
-                                {3, 4, 1, 12288, 2048, 2, 112},
-                                {3, 5, 1, 12288, 2048, 2, 114},
-                                {3, 6, 1, 12288, 2048, 2, 94},
-                                {3, 7, 1, 12288, 2048, 2, 96},
-                                {3, 8, 1, 12288, 2048, 1, 96},
-                                {3, 1, 1, 12288, 3072, 3, 128},
-                                {3, 2, 1, 12288, 3072, 3, 128},
-                                {3, 3, 1, 12288, 3072, 3, 128},
-                                {3, 4, 1, 12288, 3072, 2, 118},
-                                {3, 5, 1, 12288, 3072, 2, 120},
-                                {3, 6, 1, 12288, 3072, 1, 128},
-                                {3, 7, 1, 12288, 3072, 2, 96},
-                                {3, 8, 1, 12288, 3072, 1, 96},
-                                {3, 1, 1, 12288, 4096, 3, 128},
-                                {3, 2, 1, 12288, 4096, 3, 128},
-                                {3, 3, 1, 12288, 4096, 3, 128},
-                                {3, 4, 1, 12288, 4096, 2, 128},
-                                {3, 5, 1, 12288, 4096, 2, 128},
-                                {3, 6, 1, 12288, 4096, 1, 128},
-                                {3, 7, 1, 12288, 4096, 1, 128},
-                                {3, 8, 1, 12288, 4096, 1, 98},
-                                {3, 1, 1, 12288, 5120, 3, 128},
-                                {3, 2, 1, 12288, 5120, 3, 128},
-                                {3, 3, 1, 12288, 5120, 3, 126},
-                                {3, 4, 1, 12288, 5120, 2, 120},
-                                {3, 5, 1, 12288, 5120, 2, 120},
-                                {3, 6, 1, 12288, 5120, 1, 120},
-                                {3, 7, 1, 12288, 5120, 1, 126},
-                                {3, 8, 1, 12288, 5120, 1, 120},
-                                {3, 1, 1, 12288, 8192, 3, 128},
-                                {3, 2, 1, 12288, 8192, 3, 128},
-                                {3, 3, 1, 12288, 8192, 3, 128},
-                                {3, 4, 1, 12288, 8192, 2, 128},
-                                {3, 5, 1, 12288, 8192, 2, 128},
-                                {3, 6, 1, 12288, 8192, 1, 128},
-                                {3, 7, 1, 12288, 8192, 1, 128},
-                                {3, 8, 1, 12288, 8192, 1, 116},
-                                {3, 1, 1, 12288, 12288, 3, 128},
-                                {3, 2, 1, 12288, 12288, 3, 128},
-                                {3, 3, 1, 12288, 12288, 3, 128},
-                                {3, 4, 1, 12288, 12288, 3, 96},
-                                {3, 5, 1, 12288, 12288, 3, 114},
-                                {3, 6, 1, 12288, 12288, 1, 128},
-                                {3, 7, 1, 12288, 12288, 1, 126},
-                                {3, 8, 1, 12288, 12288, 1, 96},
-                                {3, 1, 1, 12288, 14336, 3, 128},
-                                {3, 2, 1, 12288, 14336, 3, 128},
-                                {3, 3, 1, 12288, 14336, 3, 126},
-                                {3, 4, 1, 12288, 14336, 3, 112},
-                                {3, 5, 1, 12288, 14336, 3, 112},
-                                {3, 6, 1, 12288, 14336, 3, 112},
-                                {3, 7, 1, 12288, 14336, 1, 128},
-                                {3, 8, 1, 12288, 14336, 2, 112},
-                                {3, 1, 1, 12288, 16384, 3, 128},
-                                {3, 2, 1, 12288, 16384, 3, 128},
-                                {3, 3, 1, 12288, 16384, 3, 128},
-                                {3, 4, 1, 12288, 16384, 3, 128},
-                                {3, 5, 1, 12288, 16384, 3, 128},
-                                {3, 6, 1, 12288, 16384, 3, 128},
-                                {3, 7, 1, 12288, 16384, 1, 128},
-                                {3, 8, 1, 12288, 16384, 2, 128},
-                                {3, 1, 1, 12288, 24576, 3, 128},
-                                {3, 2, 1, 12288, 24576, 3, 128},
-                                {3, 3, 1, 12288, 24576, 3, 128},
-                                {3, 4, 1, 12288, 24576, 3, 96},
-                                {3, 5, 1, 12288, 24576, 3, 120},
-                                {3, 6, 1, 12288, 24576, 1, 128},
-                                {3, 7, 1, 12288, 24576, 2, 96},
-                                {3, 8, 1, 12288, 24576, 3, 96},
-                                {3, 1, 1, 12288, 51200, 3, 128},
-                                {3, 2, 1, 12288, 51200, 3, 128},
-                                {3, 3, 1, 12288, 51200, 3, 128},
-                                {3, 4, 1, 12288, 51200, 3, 112},
-                                {3, 5, 1, 12288, 51200, 3, 110},
-                                {3, 6, 1, 12288, 51200, 3, 108},
-                                {3, 7, 1, 12288, 51200, 3, 80},
-                                {3, 8, 1, 12288, 51200, 3, 76},
-                                {3, 1, 1, 12288, 128000, 3, 128},
-                                {3, 2, 1, 12288, 128000, 3, 128},
-                                {3, 3, 1, 12288, 128000, 3, 128},
-                                {3, 4, 1, 12288, 128000, 3, 126},
-                                {3, 5, 1, 12288, 128000, 3, 126},
-                                {3, 6, 1, 12288, 128000, 3, 116},
-                                {3, 7, 1, 12288, 128000, 3, 100},
-                                {3, 8, 1, 12288, 128000, 3, 94},
-                                {3, 1, 1, 14336, 256, 2, 30},
-                                {3, 2, 1, 14336, 256, 2, 30},
-                                {3, 3, 1, 14336, 256, 2, 32},
-                                {3, 4, 1, 14336, 256, 2, 30},
-                                {3, 5, 1, 14336, 256, 2, 32},
-                                {3, 6, 1, 14336, 256, 2, 32},
-                                {3, 7, 1, 14336, 256, 2, 32},
-                                {3, 8, 1, 14336, 256, 2, 32},
-                                {3, 1, 1, 14336, 512, 2, 60},
-                                {3, 2, 1, 14336, 512, 2, 56},
-                                {3, 3, 1, 14336, 512, 2, 64},
-                                {3, 4, 1, 14336, 512, 2, 56},
-                                {3, 5, 1, 14336, 512, 2, 56},
-                                {3, 6, 1, 14336, 512, 2, 58},
-                                {3, 7, 1, 14336, 512, 2, 62},
-                                {3, 8, 1, 14336, 512, 2, 62},
-                                {3, 1, 1, 14336, 1024, 2, 112},
-                                {3, 2, 1, 14336, 1024, 2, 112},
-                                {3, 3, 1, 14336, 1024, 2, 128},
-                                {3, 4, 1, 14336, 1024, 2, 96},
-                                {3, 5, 1, 14336, 1024, 2, 106},
-                                {3, 6, 1, 14336, 1024, 2, 92},
-                                {3, 7, 1, 14336, 1024, 2, 92},
-                                {3, 8, 1, 14336, 1024, 2, 72},
-                                {3, 1, 1, 14336, 2048, 2, 128},
-                                {3, 2, 1, 14336, 2048, 2, 128},
-                                {3, 3, 1, 14336, 2048, 2, 128},
-                                {3, 4, 1, 14336, 2048, 2, 112},
-                                {3, 5, 1, 14336, 2048, 2, 114},
-                                {3, 6, 1, 14336, 2048, 2, 96},
-                                {3, 7, 1, 14336, 2048, 2, 96},
-                                {3, 8, 1, 14336, 2048, 1, 96},
-                                {3, 1, 1, 14336, 3072, 3, 128},
-                                {3, 2, 1, 14336, 3072, 3, 128},
-                                {3, 3, 1, 14336, 3072, 3, 128},
-                                {3, 4, 1, 14336, 3072, 2, 120},
-                                {3, 5, 1, 14336, 3072, 2, 120},
-                                {3, 6, 1, 14336, 3072, 1, 126},
-                                {3, 7, 1, 14336, 3072, 2, 96},
-                                {3, 8, 1, 14336, 3072, 1, 96},
-                                {3, 1, 1, 14336, 4096, 3, 128},
-                                {3, 2, 1, 14336, 4096, 3, 128},
-                                {3, 3, 1, 14336, 4096, 3, 128},
-                                {3, 4, 1, 14336, 4096, 2, 128},
-                                {3, 5, 1, 14336, 4096, 2, 128},
-                                {3, 6, 1, 14336, 4096, 1, 128},
-                                {3, 7, 1, 14336, 4096, 1, 128},
-                                {3, 8, 1, 14336, 4096, 1, 96},
-                                {3, 1, 1, 14336, 5120, 3, 128},
-                                {3, 2, 1, 14336, 5120, 3, 128},
-                                {3, 3, 1, 14336, 5120, 3, 128},
-                                {3, 4, 1, 14336, 5120, 2, 120},
-                                {3, 5, 1, 14336, 5120, 2, 120},
-                                {3, 6, 1, 14336, 5120, 1, 126},
-                                {3, 7, 1, 14336, 5120, 1, 128},
-                                {3, 8, 1, 14336, 5120, 1, 96},
-                                {3, 1, 1, 14336, 8192, 3, 128},
-                                {3, 2, 1, 14336, 8192, 3, 128},
-                                {3, 3, 1, 14336, 8192, 3, 128},
-                                {3, 4, 1, 14336, 8192, 2, 128},
-                                {3, 5, 1, 14336, 8192, 2, 128},
-                                {3, 6, 1, 14336, 8192, 1, 128},
-                                {3, 7, 1, 14336, 8192, 1, 128},
-                                {3, 8, 1, 14336, 8192, 2, 128},
-                                {3, 1, 1, 14336, 12288, 3, 128},
-                                {3, 2, 1, 14336, 12288, 3, 128},
-                                {3, 3, 1, 14336, 12288, 3, 128},
-                                {3, 4, 1, 14336, 12288, 3, 96},
-                                {3, 5, 1, 14336, 12288, 3, 114},
-                                {3, 6, 1, 14336, 12288, 1, 128},
-                                {3, 7, 1, 14336, 12288, 1, 126},
-                                {3, 8, 1, 14336, 12288, 1, 96},
-                                {3, 1, 1, 14336, 14336, 3, 128},
-                                {3, 2, 1, 14336, 14336, 3, 128},
-                                {3, 3, 1, 14336, 14336, 3, 128},
-                                {3, 4, 1, 14336, 14336, 3, 112},
-                                {3, 5, 1, 14336, 14336, 3, 112},
-                                {3, 6, 1, 14336, 14336, 3, 112},
-                                {3, 7, 1, 14336, 14336, 1, 128},
-                                {3, 8, 1, 14336, 14336, 3, 112},
-                                {3, 1, 1, 14336, 16384, 3, 128},
-                                {3, 2, 1, 14336, 16384, 3, 128},
-                                {3, 3, 1, 14336, 16384, 3, 128},
-                                {3, 4, 1, 14336, 16384, 3, 128},
-                                {3, 5, 1, 14336, 16384, 3, 128},
-                                {3, 6, 1, 14336, 16384, 3, 128},
-                                {3, 7, 1, 14336, 16384, 1, 128},
-                                {3, 8, 1, 14336, 16384, 3, 96},
-                                {3, 1, 1, 14336, 24576, 3, 128},
-                                {3, 2, 1, 14336, 24576, 3, 128},
-                                {3, 3, 1, 14336, 24576, 3, 128},
-                                {3, 4, 1, 14336, 24576, 3, 96},
-                                {3, 5, 1, 14336, 24576, 3, 120},
-                                {3, 6, 1, 14336, 24576, 1, 128},
-                                {3, 7, 1, 14336, 24576, 2, 96},
-                                {3, 8, 1, 14336, 24576, 3, 96},
-                                {3, 1, 1, 14336, 51200, 3, 128},
-                                {3, 2, 1, 14336, 51200, 3, 128},
-                                {3, 3, 1, 14336, 51200, 3, 128},
-                                {3, 4, 1, 14336, 51200, 3, 100},
-                                {3, 5, 1, 14336, 51200, 3, 116},
-                                {3, 6, 1, 14336, 51200, 3, 128},
-                                {3, 7, 1, 14336, 51200, 3, 86},
-                                {3, 8, 1, 14336, 51200, 3, 82},
-                                {3, 1, 1, 14336, 128000, 3, 128},
-                                {3, 2, 1, 14336, 128000, 3, 128},
-                                {3, 3, 1, 14336, 128000, 3, 128},
-                                {3, 4, 1, 14336, 128000, 3, 116},
-                                {3, 5, 1, 14336, 128000, 3, 126},
-                                {3, 6, 1, 14336, 128000, 3, 126},
-                                {3, 7, 1, 14336, 128000, 3, 100},
-                                {3, 8, 1, 14336, 128000, 3, 94},
-                                {3, 1, 1, 16384, 256, 2, 32},
-                                {3, 2, 1, 16384, 256, 2, 32},
-                                {3, 3, 1, 16384, 256, 2, 38},
-                                {3, 4, 1, 16384, 256, 2, 32},
-                                {3, 5, 1, 16384, 256, 2, 32},
-                                {3, 6, 1, 16384, 256, 2, 32},
-                                {3, 7, 1, 16384, 256, 2, 38},
-                                {3, 8, 1, 16384, 256, 2, 32},
-                                {3, 1, 1, 16384, 512, 2, 62},
-                                {3, 2, 1, 16384, 512, 2, 62},
-                                {3, 3, 1, 16384, 512, 2, 64},
-                                {3, 4, 1, 16384, 512, 2, 56},
-                                {3, 5, 1, 16384, 512, 2, 64},
-                                {3, 6, 1, 16384, 512, 2, 64},
-                                {3, 7, 1, 16384, 512, 2, 64},
-                                {3, 8, 1, 16384, 512, 2, 66},
-                                {3, 1, 1, 16384, 1024, 2, 128},
-                                {3, 2, 1, 16384, 1024, 2, 104},
-                                {3, 3, 1, 16384, 1024, 2, 126},
-                                {3, 4, 1, 16384, 1024, 2, 96},
-                                {3, 5, 1, 16384, 1024, 2, 108},
-                                {3, 6, 1, 16384, 1024, 2, 96},
-                                {3, 7, 1, 16384, 1024, 2, 88},
-                                {3, 8, 1, 16384, 1024, 2, 80},
-                                {3, 1, 1, 16384, 2048, 2, 128},
-                                {3, 2, 1, 16384, 2048, 2, 128},
-                                {3, 3, 1, 16384, 2048, 3, 126},
-                                {3, 4, 1, 16384, 2048, 2, 128},
-                                {3, 5, 1, 16384, 2048, 2, 126},
-                                {3, 6, 1, 16384, 2048, 2, 96},
-                                {3, 7, 1, 16384, 2048, 1, 128},
-                                {3, 8, 1, 16384, 2048, 1, 96},
-                                {3, 1, 1, 16384, 3072, 3, 128},
-                                {3, 2, 1, 16384, 3072, 3, 128},
-                                {3, 3, 1, 16384, 3072, 3, 128},
-                                {3, 4, 1, 16384, 3072, 2, 128},
-                                {3, 5, 1, 16384, 3072, 2, 120},
-                                {3, 6, 1, 16384, 3072, 1, 128},
-                                {3, 7, 1, 16384, 3072, 2, 96},
-                                {3, 8, 1, 16384, 3072, 1, 96},
-                                {3, 1, 1, 16384, 4096, 3, 128},
-                                {3, 2, 1, 16384, 4096, 3, 128},
-                                {3, 3, 1, 16384, 4096, 3, 128},
-                                {3, 4, 1, 16384, 4096, 2, 128},
-                                {3, 5, 1, 16384, 4096, 2, 128},
-                                {3, 6, 1, 16384, 4096, 1, 124},
-                                {3, 7, 1, 16384, 4096, 1, 128},
-                                {3, 8, 1, 16384, 4096, 1, 96},
-                                {3, 1, 1, 16384, 5120, 3, 128},
-                                {3, 2, 1, 16384, 5120, 3, 128},
-                                {3, 3, 1, 16384, 5120, 3, 128},
-                                {3, 4, 1, 16384, 5120, 2, 120},
-                                {3, 5, 1, 16384, 5120, 2, 120},
-                                {3, 6, 1, 16384, 5120, 1, 120},
-                                {3, 7, 1, 16384, 5120, 1, 128},
-                                {3, 8, 1, 16384, 5120, 1, 96},
-                                {3, 1, 1, 16384, 8192, 3, 128},
-                                {3, 2, 1, 16384, 8192, 3, 128},
-                                {3, 3, 1, 16384, 8192, 3, 128},
-                                {3, 4, 1, 16384, 8192, 2, 128},
-                                {3, 5, 1, 16384, 8192, 2, 128},
-                                {3, 6, 1, 16384, 8192, 1, 128},
-                                {3, 7, 1, 16384, 8192, 1, 128},
-                                {3, 8, 1, 16384, 8192, 2, 128},
-                                {3, 1, 1, 16384, 12288, 3, 128},
-                                {3, 2, 1, 16384, 12288, 3, 128},
-                                {3, 3, 1, 16384, 12288, 3, 128},
-                                {3, 4, 1, 16384, 12288, 3, 96},
-                                {3, 5, 1, 16384, 12288, 3, 120},
-                                {3, 6, 1, 16384, 12288, 1, 128},
-                                {3, 7, 1, 16384, 12288, 2, 96},
-                                {3, 8, 1, 16384, 12288, 1, 96},
-                                {3, 1, 1, 16384, 14336, 3, 128},
-                                {3, 2, 1, 16384, 14336, 3, 128},
-                                {3, 3, 1, 16384, 14336, 3, 126},
-                                {3, 4, 1, 16384, 14336, 3, 112},
-                                {3, 5, 1, 16384, 14336, 3, 112},
-                                {3, 6, 1, 16384, 14336, 3, 112},
-                                {3, 7, 1, 16384, 14336, 1, 128},
-                                {3, 8, 1, 16384, 14336, 2, 112},
-                                {3, 1, 1, 16384, 16384, 3, 128},
-                                {3, 2, 1, 16384, 16384, 3, 128},
-                                {3, 3, 1, 16384, 16384, 3, 128},
-                                {3, 4, 1, 16384, 16384, 3, 128},
-                                {3, 5, 1, 16384, 16384, 3, 128},
-                                {3, 6, 1, 16384, 16384, 3, 128},
-                                {3, 7, 1, 16384, 16384, 1, 128},
-                                {3, 8, 1, 16384, 16384, 3, 96},
-                                {3, 1, 1, 16384, 24576, 3, 128},
-                                {3, 2, 1, 16384, 24576, 3, 128},
-                                {3, 3, 1, 16384, 24576, 3, 128},
-                                {3, 4, 1, 16384, 24576, 3, 96},
-                                {3, 5, 1, 16384, 24576, 3, 120},
-                                {3, 6, 1, 16384, 24576, 3, 96},
-                                {3, 7, 1, 16384, 24576, 3, 96},
-                                {3, 8, 1, 16384, 24576, 3, 96},
-                                {3, 1, 1, 16384, 51200, 3, 128},
-                                {3, 2, 1, 16384, 51200, 3, 128},
-                                {3, 3, 1, 16384, 51200, 3, 128},
-                                {3, 4, 1, 16384, 51200, 3, 120},
-                                {3, 5, 1, 16384, 51200, 3, 112},
-                                {3, 6, 1, 16384, 51200, 3, 128},
-                                {3, 7, 1, 16384, 51200, 3, 110},
-                                {3, 8, 1, 16384, 51200, 3, 80},
-                                {3, 1, 1, 16384, 128000, 3, 128},
-                                {3, 2, 1, 16384, 128000, 3, 128},
-                                {3, 3, 1, 16384, 128000, 3, 128},
-                                {3, 4, 1, 16384, 128000, 3, 126},
-                                {3, 5, 1, 16384, 128000, 3, 126},
-                                {3, 6, 1, 16384, 128000, 3, 126},
-                                {3, 7, 1, 16384, 128000, 3, 100},
-                                {3, 8, 1, 16384, 128000, 3, 118},
-                                {3, 1, 1, 24576, 256, 2, 36},
-                                {3, 2, 1, 24576, 256, 2, 36},
-                                {3, 3, 1, 24576, 256, 2, 44},
-                                {3, 4, 1, 24576, 256, 2, 36},
-                                {3, 5, 1, 24576, 256, 2, 42},
-                                {3, 6, 1, 24576, 256, 2, 40},
-                                {3, 7, 1, 24576, 256, 2, 44},
-                                {3, 8, 1, 24576, 256, 2, 44},
-                                {3, 1, 1, 24576, 512, 2, 72},
-                                {3, 2, 1, 24576, 512, 2, 72},
-                                {3, 3, 1, 24576, 512, 2, 84},
-                                {3, 4, 1, 24576, 512, 2, 72},
-                                {3, 5, 1, 24576, 512, 2, 84},
-                                {3, 6, 1, 24576, 512, 2, 80},
-                                {3, 7, 1, 24576, 512, 2, 84},
-                                {3, 8, 1, 24576, 512, 2, 72},
-                                {3, 1, 1, 24576, 1024, 2, 128},
-                                {3, 2, 1, 24576, 1024, 2, 126},
-                                {3, 3, 1, 24576, 1024, 2, 128},
-                                {3, 4, 1, 24576, 1024, 2, 112},
-                                {3, 5, 1, 24576, 1024, 2, 108},
-                                {3, 6, 1, 24576, 1024, 2, 96},
-                                {3, 7, 1, 24576, 1024, 2, 96},
-                                {3, 8, 1, 24576, 1024, 2, 80},
-                                {3, 1, 1, 24576, 2048, 2, 128},
-                                {3, 2, 1, 24576, 2048, 2, 128},
-                                {3, 3, 1, 24576, 2048, 3, 128},
-                                {3, 4, 1, 24576, 2048, 2, 128},
-                                {3, 5, 1, 24576, 2048, 2, 126},
-                                {3, 6, 1, 24576, 2048, 2, 96},
-                                {3, 7, 1, 24576, 2048, 2, 96},
-                                {3, 8, 1, 24576, 2048, 1, 96},
-                                {3, 1, 1, 24576, 3072, 3, 128},
-                                {3, 2, 1, 24576, 3072, 3, 128},
-                                {3, 3, 1, 24576, 3072, 3, 128},
-                                {3, 4, 1, 24576, 3072, 2, 128},
-                                {3, 5, 1, 24576, 3072, 2, 120},
-                                {3, 6, 1, 24576, 3072, 1, 128},
-                                {3, 7, 1, 24576, 3072, 2, 96},
-                                {3, 8, 1, 24576, 3072, 1, 96},
-                                {3, 1, 1, 24576, 4096, 3, 128},
-                                {3, 2, 1, 24576, 4096, 3, 128},
-                                {3, 3, 1, 24576, 4096, 3, 128},
-                                {3, 4, 1, 24576, 4096, 2, 128},
-                                {3, 5, 1, 24576, 4096, 2, 128},
-                                {3, 6, 1, 24576, 4096, 1, 128},
-                                {3, 7, 1, 24576, 4096, 1, 128},
-                                {3, 8, 1, 24576, 4096, 1, 96},
-                                {3, 1, 1, 24576, 5120, 3, 128},
-                                {3, 2, 1, 24576, 5120, 3, 128},
-                                {3, 3, 1, 24576, 5120, 3, 128},
-                                {3, 4, 1, 24576, 5120, 2, 120},
-                                {3, 5, 1, 24576, 5120, 2, 120},
-                                {3, 6, 1, 24576, 5120, 2, 120},
-                                {3, 7, 1, 24576, 5120, 2, 120},
-                                {3, 8, 1, 24576, 5120, 1, 96},
-                                {3, 1, 1, 24576, 8192, 3, 128},
-                                {3, 2, 1, 24576, 8192, 3, 128},
-                                {3, 3, 1, 24576, 8192, 3, 128},
-                                {3, 4, 1, 24576, 8192, 2, 128},
-                                {3, 5, 1, 24576, 8192, 2, 128},
-                                {3, 6, 1, 24576, 8192, 1, 128},
-                                {3, 7, 1, 24576, 8192, 1, 128},
-                                {3, 8, 1, 24576, 8192, 2, 128},
-                                {3, 1, 1, 24576, 12288, 3, 128},
-                                {3, 2, 1, 24576, 12288, 3, 128},
-                                {3, 3, 1, 24576, 12288, 3, 128},
-                                {3, 4, 1, 24576, 12288, 3, 96},
-                                {3, 5, 1, 24576, 12288, 3, 114},
-                                {3, 6, 1, 24576, 12288, 1, 128},
-                                {3, 7, 1, 24576, 12288, 2, 96},
-                                {3, 8, 1, 24576, 12288, 1, 96},
-                                {3, 1, 1, 24576, 14336, 3, 128},
-                                {3, 2, 1, 24576, 14336, 3, 128},
-                                {3, 3, 1, 24576, 14336, 3, 126},
-                                {3, 4, 1, 24576, 14336, 3, 112},
-                                {3, 5, 1, 24576, 14336, 3, 112},
-                                {3, 6, 1, 24576, 14336, 3, 112},
-                                {3, 7, 1, 24576, 14336, 1, 128},
-                                {3, 8, 1, 24576, 14336, 3, 112},
-                                {3, 1, 1, 24576, 16384, 3, 128},
-                                {3, 2, 1, 24576, 16384, 3, 128},
-                                {3, 3, 1, 24576, 16384, 3, 128},
-                                {3, 4, 1, 24576, 16384, 3, 128},
-                                {3, 5, 1, 24576, 16384, 3, 128},
-                                {3, 6, 1, 24576, 16384, 3, 128},
-                                {3, 7, 1, 24576, 16384, 1, 128},
-                                {3, 8, 1, 24576, 16384, 3, 96},
-                                {3, 1, 1, 24576, 24576, 3, 128},
-                                {3, 2, 1, 24576, 24576, 3, 128},
-                                {3, 3, 1, 24576, 24576, 3, 128},
-                                {3, 4, 1, 24576, 24576, 3, 96},
-                                {3, 5, 1, 24576, 24576, 3, 120},
-                                {3, 6, 1, 24576, 24576, 3, 96},
-                                {3, 7, 1, 24576, 24576, 3, 96},
-                                {3, 8, 1, 24576, 24576, 3, 96},
-                                {3, 1, 1, 24576, 51200, 3, 128},
-                                {3, 2, 1, 24576, 51200, 3, 128},
-                                {3, 3, 1, 24576, 51200, 3, 126},
-                                {3, 4, 1, 24576, 51200, 3, 120},
-                                {3, 5, 1, 24576, 51200, 3, 120},
-                                {3, 6, 1, 24576, 51200, 3, 108},
-                                {3, 7, 1, 24576, 51200, 3, 80},
-                                {3, 8, 1, 24576, 51200, 3, 118},
-                                {3, 1, 1, 24576, 128000, 3, 128},
-                                {3, 2, 1, 24576, 128000, 3, 128},
-                                {3, 3, 1, 24576, 128000, 3, 128},
-                                {3, 4, 1, 24576, 128000, 3, 124},
-                                {3, 5, 1, 24576, 128000, 3, 126},
-                                {3, 6, 1, 24576, 128000, 3, 128},
-                                {3, 7, 1, 24576, 128000, 3, 100},
-                                {3, 8, 1, 24576, 128000, 3, 126},
-                                {2, 1, 1, 128, 256, 1, 4},
-                                {2, 2, 1, 128, 256, 1, 4},
-                                {2, 3, 1, 128, 256, 1, 4},
-                                {2, 4, 1, 128, 256, 1, 4},
-                                {2, 5, 1, 128, 256, 1, 4},
-                                {2, 6, 1, 128, 256, 1, 4},
-                                {2, 7, 1, 128, 256, 1, 4},
-                                {2, 8, 1, 128, 256, 1, 4},
-                                {2, 1, 1, 128, 512, 1, 8},
-                                {2, 2, 1, 128, 512, 1, 8},
-                                {2, 3, 1, 128, 512, 1, 8},
-                                {2, 4, 1, 128, 512, 1, 8},
-                                {2, 5, 1, 128, 512, 1, 8},
-                                {2, 6, 1, 128, 512, 1, 8},
-                                {2, 7, 1, 128, 512, 1, 8},
-                                {2, 8, 1, 128, 512, 1, 8},
-                                {2, 1, 1, 128, 1024, 1, 16},
-                                {2, 2, 1, 128, 1024, 1, 16},
-                                {2, 3, 1, 128, 1024, 1, 16},
-                                {2, 4, 1, 128, 1024, 1, 16},
-                                {2, 5, 1, 128, 1024, 1, 16},
-                                {2, 6, 1, 128, 1024, 1, 16},
-                                {2, 7, 1, 128, 1024, 1, 16},
-                                {2, 8, 1, 128, 1024, 1, 16},
-                                {2, 1, 1, 128, 2048, 1, 32},
-                                {2, 2, 1, 128, 2048, 1, 32},
-                                {2, 3, 1, 128, 2048, 1, 32},
-                                {2, 4, 1, 128, 2048, 1, 32},
-                                {2, 5, 1, 128, 2048, 1, 32},
-                                {2, 6, 1, 128, 2048, 1, 32},
-                                {2, 7, 1, 128, 2048, 1, 32},
-                                {2, 8, 1, 128, 2048, 1, 32},
-                                {2, 1, 1, 128, 3072, 1, 48},
-                                {2, 2, 1, 128, 3072, 1, 48},
-                                {2, 3, 1, 128, 3072, 1, 48},
-                                {2, 4, 1, 128, 3072, 1, 48},
-                                {2, 5, 1, 128, 3072, 1, 48},
-                                {2, 6, 1, 128, 3072, 1, 48},
-                                {2, 7, 1, 128, 3072, 1, 48},
-                                {2, 8, 1, 128, 3072, 1, 48},
-                                {2, 1, 1, 128, 4096, 1, 64},
-                                {2, 2, 1, 128, 4096, 1, 64},
-                                {2, 3, 1, 128, 4096, 1, 64},
-                                {2, 4, 1, 128, 4096, 1, 64},
-                                {2, 5, 1, 128, 4096, 1, 64},
-                                {2, 6, 1, 128, 4096, 1, 64},
-                                {2, 7, 1, 128, 4096, 1, 64},
-                                {2, 8, 1, 128, 4096, 1, 64},
-                                {2, 1, 1, 128, 5120, 1, 80},
-                                {2, 2, 1, 128, 5120, 1, 80},
-                                {2, 3, 1, 128, 5120, 1, 80},
-                                {2, 4, 1, 128, 5120, 1, 80},
-                                {2, 5, 1, 128, 5120, 1, 80},
-                                {2, 6, 1, 128, 5120, 1, 80},
-                                {2, 7, 1, 128, 5120, 1, 64},
-                                {2, 8, 1, 128, 5120, 1, 80},
-                                {2, 1, 1, 128, 8192, 1, 64},
-                                {2, 2, 1, 128, 8192, 1, 64},
-                                {2, 3, 1, 128, 8192, 1, 64},
-                                {2, 4, 1, 128, 8192, 1, 64},
-                                {2, 5, 1, 128, 8192, 1, 64},
-                                {2, 6, 1, 128, 8192, 1, 64},
-                                {2, 7, 1, 128, 8192, 1, 64},
-                                {2, 8, 1, 128, 8192, 1, 64},
-                                {2, 1, 1, 128, 12288, 1, 84},
-                                {2, 2, 1, 128, 12288, 1, 84},
-                                {2, 3, 1, 128, 12288, 1, 84},
-                                {2, 4, 1, 128, 12288, 1, 84},
-                                {2, 5, 1, 128, 12288, 1, 84},
-                                {2, 6, 1, 128, 12288, 1, 84},
-                                {2, 7, 1, 128, 12288, 1, 84},
-                                {2, 8, 1, 128, 12288, 1, 80},
-                                {2, 1, 1, 128, 14336, 2, 84},
-                                {2, 2, 1, 128, 14336, 1, 84},
-                                {2, 3, 1, 128, 14336, 1, 84},
-                                {2, 4, 1, 128, 14336, 1, 84},
-                                {2, 5, 1, 128, 14336, 1, 84},
-                                {2, 6, 1, 128, 14336, 1, 84},
-                                {2, 7, 1, 128, 14336, 1, 84},
-                                {2, 8, 1, 128, 14336, 1, 84},
-                                {2, 1, 1, 128, 16384, 3, 64},
-                                {2, 2, 1, 128, 16384, 3, 64},
-                                {2, 3, 1, 128, 16384, 3, 64},
-                                {2, 4, 1, 128, 16384, 3, 64},
-                                {2, 5, 1, 128, 16384, 1, 82},
-                                {2, 6, 1, 128, 16384, 1, 84},
-                                {2, 7, 1, 128, 16384, 1, 84},
-                                {2, 8, 1, 128, 16384, 3, 64},
-                                {2, 1, 1, 128, 24576, 3, 84},
-                                {2, 2, 1, 128, 24576, 3, 82},
-                                {2, 3, 1, 128, 24576, 3, 84},
-                                {2, 4, 1, 128, 24576, 2, 84},
-                                {2, 5, 1, 128, 24576, 2, 84},
-                                {2, 6, 1, 128, 24576, 2, 84},
-                                {2, 7, 1, 128, 24576, 2, 84},
-                                {2, 8, 1, 128, 24576, 2, 84},
-                                {2, 1, 1, 128, 51200, 3, 80},
-                                {2, 2, 1, 128, 51200, 3, 80},
-                                {2, 3, 1, 128, 51200, 3, 80},
-                                {2, 4, 1, 128, 51200, 3, 80},
-                                {2, 5, 1, 128, 51200, 3, 80},
-                                {2, 6, 1, 128, 51200, 2, 80},
-                                {2, 7, 1, 128, 51200, 2, 80},
-                                {2, 8, 1, 128, 51200, 3, 80},
-                                {2, 1, 1, 128, 128000, 3, 84},
-                                {2, 2, 1, 128, 128000, 3, 84},
-                                {2, 3, 1, 128, 128000, 3, 84},
-                                {2, 4, 1, 128, 128000, 3, 84},
-                                {2, 5, 1, 128, 128000, 3, 84},
-                                {2, 6, 1, 128, 128000, 3, 84},
-                                {2, 7, 1, 128, 128000, 3, 84},
-                                {2, 8, 1, 128, 128000, 3, 84},
-                                {2, 1, 1, 256, 256, 2, 4},
-                                {2, 2, 1, 256, 256, 2, 4},
-                                {2, 3, 1, 256, 256, 2, 4},
-                                {2, 4, 1, 256, 256, 2, 4},
-                                {2, 5, 1, 256, 256, 2, 4},
-                                {2, 6, 1, 256, 256, 2, 4},
-                                {2, 7, 1, 256, 256, 2, 4},
-                                {2, 8, 1, 256, 256, 2, 4},
-                                {2, 1, 1, 256, 512, 2, 8},
-                                {2, 2, 1, 256, 512, 2, 8},
-                                {2, 3, 1, 256, 512, 2, 8},
-                                {2, 4, 1, 256, 512, 2, 8},
-                                {2, 5, 1, 256, 512, 2, 8},
-                                {2, 6, 1, 256, 512, 2, 8},
-                                {2, 7, 1, 256, 512, 2, 8},
-                                {2, 8, 1, 256, 512, 2, 8},
-                                {2, 1, 1, 256, 1024, 2, 16},
-                                {2, 2, 1, 256, 1024, 2, 16},
-                                {2, 3, 1, 256, 1024, 2, 16},
-                                {2, 4, 1, 256, 1024, 2, 16},
-                                {2, 5, 1, 256, 1024, 1, 16},
-                                {2, 6, 1, 256, 1024, 2, 16},
-                                {2, 7, 1, 256, 1024, 1, 16},
-                                {2, 8, 1, 256, 1024, 1, 16},
-                                {2, 1, 1, 256, 2048, 2, 32},
-                                {2, 2, 1, 256, 2048, 2, 32},
-                                {2, 3, 1, 256, 2048, 1, 32},
-                                {2, 4, 1, 256, 2048, 1, 32},
-                                {2, 5, 1, 256, 2048, 1, 32},
-                                {2, 6, 1, 256, 2048, 1, 32},
-                                {2, 7, 1, 256, 2048, 1, 32},
-                                {2, 8, 1, 256, 2048, 1, 32},
-                                {2, 1, 1, 256, 3072, 2, 48},
-                                {2, 2, 1, 256, 3072, 1, 48},
-                                {2, 3, 1, 256, 3072, 1, 48},
-                                {2, 4, 1, 256, 3072, 1, 48},
-                                {2, 5, 1, 256, 3072, 1, 48},
-                                {2, 6, 1, 256, 3072, 1, 48},
-                                {2, 7, 1, 256, 3072, 1, 48},
-                                {2, 8, 1, 256, 3072, 1, 48},
-                                {2, 1, 1, 256, 4096, 2, 64},
-                                {2, 2, 1, 256, 4096, 1, 64},
-                                {2, 3, 1, 256, 4096, 1, 64},
-                                {2, 4, 1, 256, 4096, 1, 64},
-                                {2, 5, 1, 256, 4096, 1, 64},
-                                {2, 6, 1, 256, 4096, 1, 64},
-                                {2, 7, 1, 256, 4096, 1, 64},
-                                {2, 8, 1, 256, 4096, 1, 64},
-                                {2, 1, 1, 256, 5120, 1, 80},
-                                {2, 2, 1, 256, 5120, 1, 80},
-                                {2, 3, 1, 256, 5120, 1, 80},
-                                {2, 4, 1, 256, 5120, 1, 80},
-                                {2, 5, 1, 256, 5120, 1, 80},
-                                {2, 6, 1, 256, 5120, 1, 80},
-                                {2, 7, 1, 256, 5120, 1, 80},
-                                {2, 8, 1, 256, 5120, 1, 80},
-                                {2, 1, 1, 256, 8192, 2, 64},
-                                {2, 2, 1, 256, 8192, 2, 64},
-                                {2, 3, 1, 256, 8192, 1, 84},
-                                {2, 4, 1, 256, 8192, 2, 64},
-                                {2, 5, 1, 256, 8192, 1, 84},
-                                {2, 6, 1, 256, 8192, 1, 84},
-                                {2, 7, 1, 256, 8192, 1, 84},
-                                {2, 8, 1, 256, 8192, 1, 84},
-                                {2, 1, 1, 256, 12288, 2, 84},
-                                {2, 2, 1, 256, 12288, 2, 84},
-                                {2, 3, 1, 256, 12288, 1, 84},
-                                {2, 4, 1, 256, 12288, 2, 84},
-                                {2, 5, 1, 256, 12288, 1, 84},
-                                {2, 6, 1, 256, 12288, 1, 84},
-                                {2, 7, 1, 256, 12288, 2, 84},
-                                {2, 8, 1, 256, 12288, 1, 84},
-                                {2, 1, 1, 256, 14336, 2, 84},
-                                {2, 2, 1, 256, 14336, 2, 84},
-                                {2, 3, 1, 256, 14336, 1, 84},
-                                {2, 4, 1, 256, 14336, 2, 84},
-                                {2, 5, 1, 256, 14336, 2, 84},
-                                {2, 6, 1, 256, 14336, 2, 84},
-                                {2, 7, 1, 256, 14336, 2, 84},
-                                {2, 8, 1, 256, 14336, 1, 84},
-                                {2, 1, 1, 256, 16384, 3, 64},
-                                {2, 2, 1, 256, 16384, 3, 64},
-                                {2, 3, 1, 256, 16384, 3, 64},
-                                {2, 4, 1, 256, 16384, 3, 64},
-                                {2, 5, 1, 256, 16384, 2, 84},
-                                {2, 6, 1, 256, 16384, 2, 84},
-                                {2, 7, 1, 256, 16384, 2, 84},
-                                {2, 8, 1, 256, 16384, 3, 64},
-                                {2, 1, 1, 256, 24576, 3, 84},
-                                {2, 2, 1, 256, 24576, 3, 84},
-                                {2, 3, 1, 256, 24576, 3, 84},
-                                {2, 4, 1, 256, 24576, 3, 84},
-                                {2, 5, 1, 256, 24576, 3, 84},
-                                {2, 6, 1, 256, 24576, 3, 84},
-                                {2, 7, 1, 256, 24576, 3, 84},
-                                {2, 8, 1, 256, 24576, 3, 84},
-                                {2, 1, 1, 256, 51200, 3, 80},
-                                {2, 2, 1, 256, 51200, 3, 80},
-                                {2, 3, 1, 256, 51200, 3, 80},
-                                {2, 4, 1, 256, 51200, 3, 80},
-                                {2, 5, 1, 256, 51200, 3, 80},
-                                {2, 6, 1, 256, 51200, 3, 80},
-                                {2, 7, 1, 256, 51200, 3, 80},
-                                {2, 8, 1, 256, 51200, 3, 80},
-                                {2, 1, 1, 256, 128000, 3, 84},
-                                {2, 2, 1, 256, 128000, 3, 84},
-                                {2, 3, 1, 256, 128000, 3, 84},
-                                {2, 4, 1, 256, 128000, 3, 84},
-                                {2, 5, 1, 256, 128000, 3, 84},
-                                {2, 6, 1, 256, 128000, 3, 84},
-                                {2, 7, 1, 256, 128000, 3, 84},
-                                {2, 8, 1, 256, 128000, 3, 80},
-                                {2, 1, 1, 512, 256, 2, 4},
-                                {2, 2, 1, 512, 256, 2, 4},
-                                {2, 3, 1, 512, 256, 2, 8},
-                                {2, 4, 1, 512, 256, 2, 4},
-                                {2, 5, 1, 512, 256, 2, 8},
-                                {2, 6, 1, 512, 256, 2, 8},
-                                {2, 7, 1, 512, 256, 2, 8},
-                                {2, 8, 1, 512, 256, 2, 8},
-                                {2, 1, 1, 512, 512, 2, 8},
-                                {2, 2, 1, 512, 512, 2, 16},
-                                {2, 3, 1, 512, 512, 2, 16},
-                                {2, 4, 1, 512, 512, 2, 8},
-                                {2, 5, 1, 512, 512, 2, 16},
-                                {2, 6, 1, 512, 512, 1, 16},
-                                {2, 7, 1, 512, 512, 1, 16},
-                                {2, 8, 1, 512, 512, 1, 16},
-                                {2, 1, 1, 512, 1024, 2, 24},
-                                {2, 2, 1, 512, 1024, 2, 16},
-                                {2, 3, 1, 512, 1024, 1, 24},
-                                {2, 4, 1, 512, 1024, 1, 24},
-                                {2, 5, 1, 512, 1024, 1, 24},
-                                {2, 6, 1, 512, 1024, 1, 32},
-                                {2, 7, 1, 512, 1024, 1, 32},
-                                {2, 8, 1, 512, 1024, 1, 32},
-                                {2, 1, 1, 512, 2048, 2, 32},
-                                {2, 2, 1, 512, 2048, 1, 48},
-                                {2, 3, 1, 512, 2048, 1, 64},
-                                {2, 4, 1, 512, 2048, 1, 48},
-                                {2, 5, 1, 512, 2048, 1, 64},
-                                {2, 6, 1, 512, 2048, 1, 64},
-                                {2, 7, 1, 512, 2048, 1, 64},
-                                {2, 8, 1, 512, 2048, 1, 64},
-                                {2, 1, 1, 512, 3072, 2, 48},
-                                {2, 2, 1, 512, 3072, 1, 72},
-                                {2, 3, 1, 512, 3072, 1, 72},
-                                {2, 4, 1, 512, 3072, 1, 72},
-                                {2, 5, 1, 512, 3072, 1, 72},
-                                {2, 6, 1, 512, 3072, 1, 72},
-                                {2, 7, 1, 512, 3072, 1, 72},
-                                {2, 8, 1, 512, 3072, 1, 72},
-                                {2, 1, 1, 512, 4096, 2, 64},
-                                {2, 2, 1, 512, 4096, 2, 64},
-                                {2, 3, 1, 512, 4096, 1, 84},
-                                {2, 4, 1, 512, 4096, 2, 64},
-                                {2, 5, 1, 512, 4096, 1, 84},
-                                {2, 6, 1, 512, 4096, 1, 84},
-                                {2, 7, 1, 512, 4096, 1, 84},
-                                {2, 8, 1, 512, 4096, 1, 84},
-                                {2, 1, 1, 512, 5120, 2, 80},
-                                {2, 2, 1, 512, 5120, 2, 80},
-                                {2, 3, 1, 512, 5120, 1, 80},
-                                {2, 4, 1, 512, 5120, 2, 80},
-                                {2, 5, 1, 512, 5120, 1, 80},
-                                {2, 6, 1, 512, 5120, 1, 80},
-                                {2, 7, 1, 512, 5120, 2, 80},
-                                {2, 8, 1, 512, 5120, 1, 80},
-                                {2, 1, 1, 512, 8192, 2, 84},
-                                {2, 2, 1, 512, 8192, 2, 84},
-                                {2, 3, 1, 512, 8192, 3, 64},
-                                {2, 4, 1, 512, 8192, 2, 84},
-                                {2, 5, 1, 512, 8192, 2, 84},
-                                {2, 6, 1, 512, 8192, 2, 84},
-                                {2, 7, 1, 512, 8192, 2, 84},
-                                {2, 8, 1, 512, 8192, 2, 84},
-                                {2, 1, 1, 512, 12288, 3, 84},
-                                {2, 2, 1, 512, 12288, 3, 84},
-                                {2, 3, 1, 512, 12288, 3, 84},
-                                {2, 4, 1, 512, 12288, 3, 84},
-                                {2, 5, 1, 512, 12288, 2, 84},
-                                {2, 6, 1, 512, 12288, 2, 84},
-                                {2, 7, 1, 512, 12288, 2, 84},
-                                {2, 8, 1, 512, 12288, 3, 78},
-                                {2, 1, 1, 512, 14336, 3, 84},
-                                {2, 2, 1, 512, 14336, 3, 82},
-                                {2, 3, 1, 512, 14336, 3, 84},
-                                {2, 4, 1, 512, 14336, 3, 84},
-                                {2, 5, 1, 512, 14336, 2, 84},
-                                {2, 6, 1, 512, 14336, 2, 84},
-                                {2, 7, 1, 512, 14336, 2, 84},
-                                {2, 8, 1, 512, 14336, 3, 82},
-                                {2, 1, 1, 512, 16384, 3, 84},
-                                {2, 2, 1, 512, 16384, 3, 82},
-                                {2, 3, 1, 512, 16384, 3, 84},
-                                {2, 4, 1, 512, 16384, 3, 84},
-                                {2, 5, 1, 512, 16384, 2, 84},
-                                {2, 6, 1, 512, 16384, 3, 84},
-                                {2, 7, 1, 512, 16384, 3, 84},
-                                {2, 8, 1, 512, 16384, 3, 64},
-                                {2, 1, 1, 512, 24576, 3, 84},
-                                {2, 2, 1, 512, 24576, 3, 84},
-                                {2, 3, 1, 512, 24576, 3, 84},
-                                {2, 4, 1, 512, 24576, 3, 84},
-                                {2, 5, 1, 512, 24576, 3, 84},
-                                {2, 6, 1, 512, 24576, 3, 84},
-                                {2, 7, 1, 512, 24576, 3, 84},
-                                {2, 8, 1, 512, 24576, 3, 80},
-                                {2, 1, 1, 512, 51200, 3, 80},
-                                {2, 2, 1, 512, 51200, 3, 80},
-                                {2, 3, 1, 512, 51200, 3, 80},
-                                {2, 4, 1, 512, 51200, 3, 80},
-                                {2, 5, 1, 512, 51200, 3, 84},
-                                {2, 6, 1, 512, 51200, 3, 84},
-                                {2, 7, 1, 512, 51200, 3, 80},
-                                {2, 8, 1, 512, 51200, 3, 80},
-                                {2, 1, 1, 512, 128000, 3, 84},
-                                {2, 2, 1, 512, 128000, 3, 84},
-                                {2, 3, 1, 512, 128000, 3, 84},
-                                {2, 4, 1, 512, 128000, 3, 84},
-                                {2, 5, 1, 512, 128000, 3, 84},
-                                {2, 6, 1, 512, 128000, 3, 84},
-                                {2, 7, 1, 512, 128000, 3, 84},
-                                {2, 8, 1, 512, 128000, 3, 80},
-                                {2, 1, 1, 1024, 256, 2, 8},
-                                {2, 2, 1, 1024, 256, 2, 8},
-                                {2, 3, 1, 1024, 256, 2, 8},
-                                {2, 4, 1, 1024, 256, 2, 8},
-                                {2, 5, 1, 1024, 256, 2, 8},
-                                {2, 6, 1, 1024, 256, 2, 8},
-                                {2, 7, 1, 1024, 256, 2, 8},
-                                {2, 8, 1, 1024, 256, 2, 8},
-                                {2, 1, 1, 1024, 512, 2, 16},
-                                {2, 2, 1, 1024, 512, 2, 16},
-                                {2, 3, 1, 1024, 512, 2, 16},
-                                {2, 4, 1, 1024, 512, 2, 16},
-                                {2, 5, 1, 1024, 512, 2, 16},
-                                {2, 6, 1, 1024, 512, 2, 16},
-                                {2, 7, 1, 1024, 512, 2, 16},
-                                {2, 8, 1, 1024, 512, 2, 16},
-                                {2, 1, 1, 1024, 1024, 2, 32},
-                                {2, 2, 1, 1024, 1024, 2, 32},
-                                {2, 3, 1, 1024, 1024, 2, 32},
-                                {2, 4, 1, 1024, 1024, 2, 32},
-                                {2, 5, 1, 1024, 1024, 2, 32},
-                                {2, 6, 1, 1024, 1024, 2, 32},
-                                {2, 7, 1, 1024, 1024, 2, 32},
-                                {2, 8, 1, 1024, 1024, 2, 32},
-                                {2, 1, 1, 1024, 2048, 2, 64},
-                                {2, 2, 1, 1024, 2048, 2, 64},
-                                {2, 3, 1, 1024, 2048, 1, 64},
-                                {2, 4, 1, 1024, 2048, 2, 64},
-                                {2, 5, 1, 1024, 2048, 2, 64},
-                                {2, 6, 1, 1024, 2048, 2, 64},
-                                {2, 7, 1, 1024, 2048, 2, 64},
-                                {2, 8, 1, 1024, 2048, 1, 80},
-                                {2, 1, 1, 1024, 3072, 2, 72},
-                                {2, 2, 1, 1024, 3072, 2, 72},
-                                {2, 3, 1, 1024, 3072, 2, 72},
-                                {2, 4, 1, 1024, 3072, 2, 72},
-                                {2, 5, 1, 1024, 3072, 2, 72},
-                                {2, 6, 1, 1024, 3072, 2, 72},
-                                {2, 7, 1, 1024, 3072, 2, 72},
-                                {2, 8, 1, 1024, 3072, 2, 82},
-                                {2, 1, 1, 1024, 4096, 2, 84},
-                                {2, 2, 1, 1024, 4096, 2, 84},
-                                {2, 3, 1, 1024, 4096, 2, 84},
-                                {2, 4, 1, 1024, 4096, 2, 84},
-                                {2, 5, 1, 1024, 4096, 2, 84},
-                                {2, 6, 1, 1024, 4096, 2, 84},
-                                {2, 7, 1, 1024, 4096, 2, 84},
-                                {2, 8, 1, 1024, 4096, 2, 84},
-                                {2, 1, 1, 1024, 5120, 2, 80},
-                                {2, 2, 1, 1024, 5120, 2, 80},
-                                {2, 3, 1, 1024, 5120, 2, 80},
-                                {2, 4, 1, 1024, 5120, 2, 80},
-                                {2, 5, 1, 1024, 5120, 2, 80},
-                                {2, 6, 1, 1024, 5120, 2, 80},
-                                {2, 7, 1, 1024, 5120, 2, 80},
-                                {2, 8, 1, 1024, 5120, 2, 80},
-                                {2, 1, 1, 1024, 8192, 3, 84},
-                                {2, 2, 1, 1024, 8192, 3, 84},
-                                {2, 3, 1, 1024, 8192, 3, 84},
-                                {2, 4, 1, 1024, 8192, 3, 84},
-                                {2, 5, 1, 1024, 8192, 2, 84},
-                                {2, 6, 1, 1024, 8192, 2, 84},
-                                {2, 7, 1, 1024, 8192, 2, 84},
-                                {2, 8, 1, 1024, 8192, 3, 64},
-                                {2, 1, 1, 1024, 12288, 3, 82},
-                                {2, 2, 1, 1024, 12288, 3, 84},
-                                {2, 3, 1, 1024, 12288, 3, 84},
-                                {2, 4, 1, 1024, 12288, 3, 84},
-                                {2, 5, 1, 1024, 12288, 2, 84},
-                                {2, 6, 1, 1024, 12288, 2, 84},
-                                {2, 7, 1, 1024, 12288, 3, 84},
-                                {2, 8, 1, 1024, 12288, 3, 80},
-                                {2, 1, 1, 1024, 14336, 3, 84},
-                                {2, 2, 1, 1024, 14336, 3, 84},
-                                {2, 3, 1, 1024, 14336, 3, 84},
-                                {2, 4, 1, 1024, 14336, 3, 84},
-                                {2, 5, 1, 1024, 14336, 3, 84},
-                                {2, 6, 1, 1024, 14336, 3, 84},
-                                {2, 7, 1, 1024, 14336, 3, 84},
-                                {2, 8, 1, 1024, 14336, 3, 78},
-                                {2, 1, 1, 1024, 16384, 3, 82},
-                                {2, 2, 1, 1024, 16384, 3, 82},
-                                {2, 3, 1, 1024, 16384, 3, 84},
-                                {2, 4, 1, 1024, 16384, 3, 84},
-                                {2, 5, 1, 1024, 16384, 3, 84},
-                                {2, 6, 1, 1024, 16384, 3, 84},
-                                {2, 7, 1, 1024, 16384, 3, 82},
-                                {2, 8, 1, 1024, 16384, 3, 64},
-                                {2, 1, 1, 1024, 24576, 3, 84},
-                                {2, 2, 1, 1024, 24576, 3, 84},
-                                {2, 3, 1, 1024, 24576, 3, 84},
-                                {2, 4, 1, 1024, 24576, 3, 84},
-                                {2, 5, 1, 1024, 24576, 3, 84},
-                                {2, 6, 1, 1024, 24576, 3, 84},
-                                {2, 7, 1, 1024, 24576, 3, 84},
-                                {2, 8, 1, 1024, 24576, 3, 84},
-                                {2, 1, 1, 1024, 51200, 3, 84},
-                                {2, 2, 1, 1024, 51200, 3, 84},
-                                {2, 3, 1, 1024, 51200, 3, 84},
-                                {2, 4, 1, 1024, 51200, 3, 84},
-                                {2, 5, 1, 1024, 51200, 3, 84},
-                                {2, 6, 1, 1024, 51200, 3, 84},
-                                {2, 7, 1, 1024, 51200, 3, 84},
-                                {2, 8, 1, 1024, 51200, 3, 80},
-                                {2, 1, 1, 1024, 128000, 3, 84},
-                                {2, 2, 1, 1024, 128000, 3, 84},
-                                {2, 3, 1, 1024, 128000, 3, 84},
-                                {2, 4, 1, 1024, 128000, 3, 84},
-                                {2, 5, 1, 1024, 128000, 3, 84},
-                                {2, 6, 1, 1024, 128000, 3, 84},
-                                {2, 7, 1, 1024, 128000, 3, 84},
-                                {2, 8, 1, 1024, 128000, 3, 70},
-                                {2, 1, 1, 2048, 256, 2, 10},
-                                {2, 2, 1, 2048, 256, 2, 10},
-                                {2, 3, 1, 2048, 256, 2, 12},
-                                {2, 4, 1, 2048, 256, 2, 10},
-                                {2, 5, 1, 2048, 256, 2, 12},
-                                {2, 6, 1, 2048, 256, 2, 12},
-                                {2, 7, 1, 2048, 256, 2, 12},
-                                {2, 8, 1, 2048, 256, 2, 12},
-                                {2, 1, 1, 2048, 512, 2, 20},
-                                {2, 2, 1, 2048, 512, 2, 20},
-                                {2, 3, 1, 2048, 512, 2, 26},
-                                {2, 4, 1, 2048, 512, 2, 20},
-                                {2, 5, 1, 2048, 512, 2, 24},
-                                {2, 6, 1, 2048, 512, 2, 24},
-                                {2, 7, 1, 2048, 512, 2, 24},
-                                {2, 8, 1, 2048, 512, 2, 26},
-                                {2, 1, 1, 2048, 1024, 2, 40},
-                                {2, 2, 1, 2048, 1024, 2, 40},
-                                {2, 3, 1, 2048, 1024, 2, 52},
-                                {2, 4, 1, 2048, 1024, 2, 40},
-                                {2, 5, 1, 2048, 1024, 2, 40},
-                                {2, 6, 1, 2048, 1024, 2, 40},
-                                {2, 7, 1, 2048, 1024, 2, 48},
-                                {2, 8, 1, 2048, 1024, 2, 48},
-                                {2, 1, 1, 2048, 2048, 2, 80},
-                                {2, 2, 1, 2048, 2048, 2, 80},
-                                {2, 3, 1, 2048, 2048, 2, 80},
-                                {2, 4, 1, 2048, 2048, 2, 80},
-                                {2, 5, 1, 2048, 2048, 2, 80},
-                                {2, 6, 1, 2048, 2048, 2, 80},
-                                {2, 7, 1, 2048, 2048, 2, 84},
-                                {2, 8, 1, 2048, 2048, 2, 80},
-                                {2, 1, 1, 2048, 3072, 2, 78},
-                                {2, 2, 1, 2048, 3072, 2, 84},
-                                {2, 3, 1, 2048, 3072, 2, 84},
-                                {2, 4, 1, 2048, 3072, 2, 82},
-                                {2, 5, 1, 2048, 3072, 2, 84},
-                                {2, 6, 1, 2048, 3072, 2, 82},
-                                {2, 7, 1, 2048, 3072, 2, 82},
-                                {2, 8, 1, 2048, 3072, 2, 82},
-                                {2, 1, 1, 2048, 4096, 2, 84},
-                                {2, 2, 1, 2048, 4096, 2, 84},
-                                {2, 3, 1, 2048, 4096, 3, 80},
-                                {2, 4, 1, 2048, 4096, 2, 84},
-                                {2, 5, 1, 2048, 4096, 2, 84},
-                                {2, 6, 1, 2048, 4096, 2, 84},
-                                {2, 7, 1, 2048, 4096, 2, 84},
-                                {2, 8, 1, 2048, 4096, 2, 84},
-                                {2, 1, 1, 2048, 5120, 3, 80},
-                                {2, 2, 1, 2048, 5120, 3, 80},
-                                {2, 3, 1, 2048, 5120, 3, 80},
-                                {2, 4, 1, 2048, 5120, 3, 80},
-                                {2, 5, 1, 2048, 5120, 2, 84},
-                                {2, 6, 1, 2048, 5120, 2, 84},
-                                {2, 7, 1, 2048, 5120, 2, 84},
-                                {2, 8, 1, 2048, 5120, 3, 76},
-                                {2, 1, 1, 2048, 8192, 3, 84},
-                                {2, 2, 1, 2048, 8192, 3, 84},
-                                {2, 3, 1, 2048, 8192, 3, 84},
-                                {2, 4, 1, 2048, 8192, 3, 84},
-                                {2, 5, 1, 2048, 8192, 3, 84},
-                                {2, 6, 1, 2048, 8192, 3, 84},
-                                {2, 7, 1, 2048, 8192, 3, 84},
-                                {2, 8, 1, 2048, 8192, 3, 64},
-                                {2, 1, 1, 2048, 12288, 3, 84},
-                                {2, 2, 1, 2048, 12288, 3, 84},
-                                {2, 3, 1, 2048, 12288, 3, 84},
-                                {2, 4, 1, 2048, 12288, 3, 84},
-                                {2, 5, 1, 2048, 12288, 3, 84},
-                                {2, 6, 1, 2048, 12288, 3, 84},
-                                {2, 7, 1, 2048, 12288, 3, 84},
-                                {2, 8, 1, 2048, 12288, 3, 78},
-                                {2, 1, 1, 2048, 14336, 3, 84},
-                                {2, 2, 1, 2048, 14336, 3, 84},
-                                {2, 3, 1, 2048, 14336, 3, 84},
-                                {2, 4, 1, 2048, 14336, 3, 84},
-                                {2, 5, 1, 2048, 14336, 3, 84},
-                                {2, 6, 1, 2048, 14336, 3, 84},
-                                {2, 7, 1, 2048, 14336, 3, 84},
-                                {2, 8, 1, 2048, 14336, 3, 78},
-                                {2, 1, 1, 2048, 16384, 3, 84},
-                                {2, 2, 1, 2048, 16384, 3, 84},
-                                {2, 3, 1, 2048, 16384, 3, 84},
-                                {2, 4, 1, 2048, 16384, 3, 84},
-                                {2, 5, 1, 2048, 16384, 3, 84},
-                                {2, 6, 1, 2048, 16384, 3, 84},
-                                {2, 7, 1, 2048, 16384, 3, 84},
-                                {2, 8, 1, 2048, 16384, 3, 64},
-                                {2, 1, 1, 2048, 24576, 3, 84},
-                                {2, 2, 1, 2048, 24576, 3, 84},
-                                {2, 3, 1, 2048, 24576, 3, 84},
-                                {2, 4, 1, 2048, 24576, 3, 84},
-                                {2, 5, 1, 2048, 24576, 3, 84},
-                                {2, 6, 1, 2048, 24576, 3, 84},
-                                {2, 7, 1, 2048, 24576, 3, 84},
-                                {2, 8, 1, 2048, 24576, 3, 78},
-                                {2, 1, 1, 2048, 51200, 3, 84},
-                                {2, 2, 1, 2048, 51200, 3, 84},
-                                {2, 3, 1, 2048, 51200, 3, 84},
-                                {2, 4, 1, 2048, 51200, 3, 84},
-                                {2, 5, 1, 2048, 51200, 3, 84},
-                                {2, 6, 1, 2048, 51200, 3, 84},
-                                {2, 7, 1, 2048, 51200, 3, 84},
-                                {2, 8, 1, 2048, 51200, 3, 80},
-                                {2, 1, 1, 2048, 128000, 3, 84},
-                                {2, 2, 1, 2048, 128000, 3, 84},
-                                {2, 3, 1, 2048, 128000, 3, 84},
-                                {2, 4, 1, 2048, 128000, 3, 84},
-                                {2, 5, 1, 2048, 128000, 3, 84},
-                                {2, 6, 1, 2048, 128000, 3, 84},
-                                {2, 7, 1, 2048, 128000, 3, 84},
-                                {2, 8, 1, 2048, 128000, 3, 70},
-                                {2, 1, 1, 3072, 256, 2, 16},
-                                {2, 2, 1, 3072, 256, 2, 16},
-                                {2, 3, 1, 3072, 256, 2, 16},
-                                {2, 4, 1, 3072, 256, 2, 16},
-                                {2, 5, 1, 3072, 256, 2, 16},
-                                {2, 6, 1, 3072, 256, 2, 16},
-                                {2, 7, 1, 3072, 256, 2, 16},
-                                {2, 8, 1, 3072, 256, 2, 16},
-                                {2, 1, 1, 3072, 512, 2, 24},
-                                {2, 2, 1, 3072, 512, 2, 32},
-                                {2, 3, 1, 3072, 512, 2, 32},
-                                {2, 4, 1, 3072, 512, 2, 24},
-                                {2, 5, 1, 3072, 512, 2, 32},
-                                {2, 6, 1, 3072, 512, 2, 32},
-                                {2, 7, 1, 3072, 512, 2, 32},
-                                {2, 8, 1, 3072, 512, 2, 32},
-                                {2, 1, 1, 3072, 1024, 2, 56},
-                                {2, 2, 1, 3072, 1024, 2, 48},
-                                {2, 3, 1, 3072, 1024, 2, 64},
-                                {2, 4, 1, 3072, 1024, 2, 48},
-                                {2, 5, 1, 3072, 1024, 2, 64},
-                                {2, 6, 1, 3072, 1024, 2, 64},
-                                {2, 7, 1, 3072, 1024, 2, 64},
-                                {2, 8, 1, 3072, 1024, 2, 64},
-                                {2, 1, 1, 3072, 2048, 2, 82},
-                                {2, 2, 1, 3072, 2048, 2, 84},
-                                {2, 3, 1, 3072, 2048, 2, 82},
-                                {2, 4, 1, 3072, 2048, 2, 82},
-                                {2, 5, 1, 3072, 2048, 2, 82},
-                                {2, 6, 1, 3072, 2048, 2, 84},
-                                {2, 7, 1, 3072, 2048, 2, 82},
-                                {2, 8, 1, 3072, 2048, 2, 82},
-                                {2, 1, 1, 3072, 3072, 2, 84},
-                                {2, 2, 1, 3072, 3072, 2, 84},
-                                {2, 3, 1, 3072, 3072, 3, 78},
-                                {2, 4, 1, 3072, 3072, 2, 82},
-                                {2, 5, 1, 3072, 3072, 2, 84},
-                                {2, 6, 1, 3072, 3072, 2, 82},
-                                {2, 7, 1, 3072, 3072, 2, 84},
-                                {2, 8, 1, 3072, 3072, 2, 84},
-                                {2, 1, 1, 3072, 4096, 2, 84},
-                                {2, 2, 1, 3072, 4096, 3, 82},
-                                {2, 3, 1, 3072, 4096, 3, 84},
-                                {2, 4, 1, 3072, 4096, 2, 84},
-                                {2, 5, 1, 3072, 4096, 2, 84},
-                                {2, 6, 1, 3072, 4096, 2, 84},
-                                {2, 7, 1, 3072, 4096, 2, 84},
-                                {2, 8, 1, 3072, 4096, 3, 64},
-                                {2, 1, 1, 3072, 5120, 3, 84},
-                                {2, 2, 1, 3072, 5120, 3, 84},
-                                {2, 3, 1, 3072, 5120, 3, 84},
-                                {2, 4, 1, 3072, 5120, 3, 84},
-                                {2, 5, 1, 3072, 5120, 2, 84},
-                                {2, 6, 1, 3072, 5120, 2, 84},
-                                {2, 7, 1, 3072, 5120, 3, 84},
-                                {2, 8, 1, 3072, 5120, 3, 76},
-                                {2, 1, 1, 3072, 8192, 3, 84},
-                                {2, 2, 1, 3072, 8192, 3, 84},
-                                {2, 3, 1, 3072, 8192, 3, 84},
-                                {2, 4, 1, 3072, 8192, 3, 84},
-                                {2, 5, 1, 3072, 8192, 3, 84},
-                                {2, 6, 1, 3072, 8192, 3, 84},
-                                {2, 7, 1, 3072, 8192, 3, 84},
-                                {2, 8, 1, 3072, 8192, 3, 64},
-                                {2, 1, 1, 3072, 12288, 3, 84},
-                                {2, 2, 1, 3072, 12288, 3, 84},
-                                {2, 3, 1, 3072, 12288, 3, 84},
-                                {2, 4, 1, 3072, 12288, 3, 84},
-                                {2, 5, 1, 3072, 12288, 3, 84},
-                                {2, 6, 1, 3072, 12288, 3, 84},
-                                {2, 7, 1, 3072, 12288, 3, 84},
-                                {2, 8, 1, 3072, 12288, 3, 68},
-                                {2, 1, 1, 3072, 14336, 3, 84},
-                                {2, 2, 1, 3072, 14336, 3, 84},
-                                {2, 3, 1, 3072, 14336, 3, 84},
-                                {2, 4, 1, 3072, 14336, 3, 84},
-                                {2, 5, 1, 3072, 14336, 3, 84},
-                                {2, 6, 1, 3072, 14336, 3, 84},
-                                {2, 7, 1, 3072, 14336, 3, 84},
-                                {2, 8, 1, 3072, 14336, 3, 82},
-                                {2, 1, 1, 3072, 16384, 3, 84},
-                                {2, 2, 1, 3072, 16384, 3, 84},
-                                {2, 3, 1, 3072, 16384, 3, 84},
-                                {2, 4, 1, 3072, 16384, 3, 84},
-                                {2, 5, 1, 3072, 16384, 3, 84},
-                                {2, 6, 1, 3072, 16384, 3, 84},
-                                {2, 7, 1, 3072, 16384, 3, 84},
-                                {2, 8, 1, 3072, 16384, 3, 64},
-                                {2, 1, 1, 3072, 24576, 3, 84},
-                                {2, 2, 1, 3072, 24576, 3, 84},
-                                {2, 3, 1, 3072, 24576, 3, 84},
-                                {2, 4, 1, 3072, 24576, 3, 84},
-                                {2, 5, 1, 3072, 24576, 3, 84},
-                                {2, 6, 1, 3072, 24576, 3, 84},
-                                {2, 7, 1, 3072, 24576, 3, 84},
-                                {2, 8, 1, 3072, 24576, 3, 66},
-                                {2, 1, 1, 3072, 51200, 3, 84},
-                                {2, 2, 1, 3072, 51200, 3, 84},
-                                {2, 3, 1, 3072, 51200, 3, 84},
-                                {2, 4, 1, 3072, 51200, 3, 84},
-                                {2, 5, 1, 3072, 51200, 3, 84},
-                                {2, 6, 1, 3072, 51200, 3, 84},
-                                {2, 7, 1, 3072, 51200, 3, 84},
-                                {2, 8, 1, 3072, 51200, 3, 80},
-                                {2, 1, 1, 3072, 128000, 3, 84},
-                                {2, 2, 1, 3072, 128000, 3, 84},
-                                {2, 3, 1, 3072, 128000, 3, 84},
-                                {2, 4, 1, 3072, 128000, 3, 84},
-                                {2, 5, 1, 3072, 128000, 3, 84},
-                                {2, 6, 1, 3072, 128000, 3, 84},
-                                {2, 7, 1, 3072, 128000, 3, 84},
-                                {2, 8, 1, 3072, 128000, 3, 80},
-                                {2, 1, 1, 4096, 256, 2, 16},
-                                {2, 2, 1, 4096, 256, 2, 16},
-                                {2, 3, 1, 4096, 256, 2, 16},
-                                {2, 4, 1, 4096, 256, 2, 16},
-                                {2, 5, 1, 4096, 256, 2, 16},
-                                {2, 6, 1, 4096, 256, 2, 16},
-                                {2, 7, 1, 4096, 256, 2, 20},
-                                {2, 8, 1, 4096, 256, 2, 20},
-                                {2, 1, 1, 4096, 512, 2, 32},
-                                {2, 2, 1, 4096, 512, 2, 32},
-                                {2, 3, 1, 4096, 512, 2, 32},
-                                {2, 4, 1, 4096, 512, 2, 32},
-                                {2, 5, 1, 4096, 512, 2, 32},
-                                {2, 6, 1, 4096, 512, 2, 32},
-                                {2, 7, 1, 4096, 512, 2, 32},
-                                {2, 8, 1, 4096, 512, 2, 32},
-                                {2, 1, 1, 4096, 1024, 2, 64},
-                                {2, 2, 1, 4096, 1024, 2, 64},
-                                {2, 3, 1, 4096, 1024, 2, 64},
-                                {2, 4, 1, 4096, 1024, 2, 64},
-                                {2, 5, 1, 4096, 1024, 2, 64},
-                                {2, 6, 1, 4096, 1024, 2, 64},
-                                {2, 7, 1, 4096, 1024, 2, 70},
-                                {2, 8, 1, 4096, 1024, 2, 64},
-                                {2, 1, 1, 4096, 2048, 2, 82},
-                                {2, 2, 1, 4096, 2048, 2, 82},
-                                {2, 3, 1, 4096, 2048, 2, 82},
-                                {2, 4, 1, 4096, 2048, 2, 82},
-                                {2, 5, 1, 4096, 2048, 2, 82},
-                                {2, 6, 1, 4096, 2048, 2, 82},
-                                {2, 7, 1, 4096, 2048, 2, 82},
-                                {2, 8, 1, 4096, 2048, 2, 82},
-                                {2, 1, 1, 4096, 3072, 2, 84},
-                                {2, 2, 1, 4096, 3072, 2, 84},
-                                {2, 3, 1, 4096, 3072, 3, 82},
-                                {2, 4, 1, 4096, 3072, 2, 82},
-                                {2, 5, 1, 4096, 3072, 2, 84},
-                                {2, 6, 1, 4096, 3072, 2, 84},
-                                {2, 7, 1, 4096, 3072, 2, 84},
-                                {2, 8, 1, 4096, 3072, 3, 68},
-                                {2, 1, 1, 4096, 4096, 3, 82},
-                                {2, 2, 1, 4096, 4096, 3, 82},
-                                {2, 3, 1, 4096, 4096, 3, 84},
-                                {2, 4, 1, 4096, 4096, 3, 82},
-                                {2, 5, 1, 4096, 4096, 2, 84},
-                                {2, 6, 1, 4096, 4096, 2, 84},
-                                {2, 7, 1, 4096, 4096, 3, 84},
-                                {2, 8, 1, 4096, 4096, 3, 64},
-                                {2, 1, 1, 4096, 5120, 3, 84},
-                                {2, 2, 1, 4096, 5120, 3, 84},
-                                {2, 3, 1, 4096, 5120, 3, 84},
-                                {2, 4, 1, 4096, 5120, 3, 84},
-                                {2, 5, 1, 4096, 5120, 2, 84},
-                                {2, 6, 1, 4096, 5120, 2, 84},
-                                {2, 7, 1, 4096, 5120, 3, 84},
-                                {2, 8, 1, 4096, 5120, 3, 72},
-                                {2, 1, 1, 4096, 8192, 3, 84},
-                                {2, 2, 1, 4096, 8192, 3, 84},
-                                {2, 3, 1, 4096, 8192, 3, 84},
-                                {2, 4, 1, 4096, 8192, 3, 84},
-                                {2, 5, 1, 4096, 8192, 3, 84},
-                                {2, 6, 1, 4096, 8192, 3, 84},
-                                {2, 7, 1, 4096, 8192, 3, 84},
-                                {2, 8, 1, 4096, 8192, 3, 64},
-                                {2, 1, 1, 4096, 12288, 3, 84},
-                                {2, 2, 1, 4096, 12288, 3, 84},
-                                {2, 3, 1, 4096, 12288, 3, 84},
-                                {2, 4, 1, 4096, 12288, 3, 84},
-                                {2, 5, 1, 4096, 12288, 3, 84},
-                                {2, 6, 1, 4096, 12288, 3, 84},
-                                {2, 7, 1, 4096, 12288, 3, 84},
-                                {2, 8, 1, 4096, 12288, 3, 74},
-                                {2, 1, 1, 4096, 14336, 3, 84},
-                                {2, 2, 1, 4096, 14336, 3, 84},
-                                {2, 3, 1, 4096, 14336, 3, 84},
-                                {2, 4, 1, 4096, 14336, 3, 84},
-                                {2, 5, 1, 4096, 14336, 3, 84},
-                                {2, 6, 1, 4096, 14336, 3, 84},
-                                {2, 7, 1, 4096, 14336, 3, 84},
-                                {2, 8, 1, 4096, 14336, 3, 84},
-                                {2, 1, 1, 4096, 16384, 3, 84},
-                                {2, 2, 1, 4096, 16384, 3, 84},
-                                {2, 3, 1, 4096, 16384, 3, 84},
-                                {2, 4, 1, 4096, 16384, 3, 84},
-                                {2, 5, 1, 4096, 16384, 3, 84},
-                                {2, 6, 1, 4096, 16384, 3, 84},
-                                {2, 7, 1, 4096, 16384, 3, 84},
-                                {2, 8, 1, 4096, 16384, 3, 64},
-                                {2, 1, 1, 4096, 24576, 3, 84},
-                                {2, 2, 1, 4096, 24576, 3, 84},
-                                {2, 3, 1, 4096, 24576, 3, 84},
-                                {2, 4, 1, 4096, 24576, 3, 84},
-                                {2, 5, 1, 4096, 24576, 3, 84},
-                                {2, 6, 1, 4096, 24576, 3, 84},
-                                {2, 7, 1, 4096, 24576, 3, 84},
-                                {2, 8, 1, 4096, 24576, 3, 66},
-                                {2, 1, 1, 4096, 51200, 3, 84},
-                                {2, 2, 1, 4096, 51200, 3, 84},
-                                {2, 3, 1, 4096, 51200, 3, 84},
-                                {2, 4, 1, 4096, 51200, 3, 84},
-                                {2, 5, 1, 4096, 51200, 3, 84},
-                                {2, 6, 1, 4096, 51200, 3, 84},
-                                {2, 7, 1, 4096, 51200, 3, 84},
-                                {2, 8, 1, 4096, 51200, 3, 80},
-                                {2, 1, 1, 4096, 128000, 3, 84},
-                                {2, 2, 1, 4096, 128000, 3, 84},
-                                {2, 3, 1, 4096, 128000, 3, 84},
-                                {2, 4, 1, 4096, 128000, 3, 84},
-                                {2, 5, 1, 4096, 128000, 3, 84},
-                                {2, 6, 1, 4096, 128000, 3, 84},
-                                {2, 7, 1, 4096, 128000, 3, 84},
-                                {2, 8, 1, 4096, 128000, 3, 80},
-                                {2, 1, 1, 5120, 256, 2, 18},
-                                {2, 2, 1, 5120, 256, 2, 18},
-                                {2, 3, 1, 5120, 256, 2, 20},
-                                {2, 4, 1, 5120, 256, 2, 18},
-                                {2, 5, 1, 5120, 256, 2, 20},
-                                {2, 6, 1, 5120, 256, 2, 20},
-                                {2, 7, 1, 5120, 256, 2, 20},
-                                {2, 8, 1, 5120, 256, 2, 20},
-                                {2, 1, 1, 5120, 512, 2, 32},
-                                {2, 2, 1, 5120, 512, 2, 36},
-                                {2, 3, 1, 5120, 512, 2, 40},
-                                {2, 4, 1, 5120, 512, 2, 36},
-                                {2, 5, 1, 5120, 512, 2, 40},
-                                {2, 6, 1, 5120, 512, 2, 40},
-                                {2, 7, 1, 5120, 512, 2, 40},
-                                {2, 8, 1, 5120, 512, 2, 40},
-                                {2, 1, 1, 5120, 1024, 2, 64},
-                                {2, 2, 1, 5120, 1024, 2, 64},
-                                {2, 3, 1, 5120, 1024, 2, 80},
-                                {2, 4, 1, 5120, 1024, 2, 72},
-                                {2, 5, 1, 5120, 1024, 2, 78},
-                                {2, 6, 1, 5120, 1024, 2, 78},
-                                {2, 7, 1, 5120, 1024, 2, 78},
-                                {2, 8, 1, 5120, 1024, 2, 78},
-                                {2, 1, 1, 5120, 2048, 2, 84},
-                                {2, 2, 1, 5120, 2048, 2, 84},
-                                {2, 3, 1, 5120, 2048, 2, 84},
-                                {2, 4, 1, 5120, 2048, 2, 84},
-                                {2, 5, 1, 5120, 2048, 2, 84},
-                                {2, 6, 1, 5120, 2048, 2, 84},
-                                {2, 7, 1, 5120, 2048, 2, 84},
-                                {2, 8, 1, 5120, 2048, 2, 84},
-                                {2, 1, 1, 5120, 3072, 3, 84},
-                                {2, 2, 1, 5120, 3072, 3, 84},
-                                {2, 3, 1, 5120, 3072, 3, 84},
-                                {2, 4, 1, 5120, 3072, 3, 84},
-                                {2, 5, 1, 5120, 3072, 2, 84},
-                                {2, 6, 1, 5120, 3072, 2, 84},
-                                {2, 7, 1, 5120, 3072, 2, 84},
-                                {2, 8, 1, 5120, 3072, 3, 68},
-                                {2, 1, 1, 5120, 4096, 3, 84},
-                                {2, 2, 1, 5120, 4096, 3, 84},
-                                {2, 3, 1, 5120, 4096, 3, 84},
-                                {2, 4, 1, 5120, 4096, 3, 84},
-                                {2, 5, 1, 5120, 4096, 2, 84},
-                                {2, 6, 1, 5120, 4096, 2, 84},
-                                {2, 7, 1, 5120, 4096, 3, 84},
-                                {2, 8, 1, 5120, 4096, 3, 64},
-                                {2, 1, 1, 5120, 5120, 3, 84},
-                                {2, 2, 1, 5120, 5120, 3, 84},
-                                {2, 3, 1, 5120, 5120, 3, 84},
-                                {2, 4, 1, 5120, 5120, 3, 84},
-                                {2, 5, 1, 5120, 5120, 3, 84},
-                                {2, 6, 1, 5120, 5120, 3, 84},
-                                {2, 7, 1, 5120, 5120, 3, 84},
-                                {2, 8, 1, 5120, 5120, 3, 68},
-                                {2, 1, 1, 5120, 8192, 3, 84},
-                                {2, 2, 1, 5120, 8192, 3, 84},
-                                {2, 3, 1, 5120, 8192, 3, 84},
-                                {2, 4, 1, 5120, 8192, 3, 84},
-                                {2, 5, 1, 5120, 8192, 3, 84},
-                                {2, 6, 1, 5120, 8192, 3, 84},
-                                {2, 7, 1, 5120, 8192, 3, 84},
-                                {2, 8, 1, 5120, 8192, 3, 64},
-                                {2, 1, 1, 5120, 12288, 3, 84},
-                                {2, 2, 1, 5120, 12288, 3, 84},
-                                {2, 3, 1, 5120, 12288, 3, 84},
-                                {2, 4, 1, 5120, 12288, 3, 84},
-                                {2, 5, 1, 5120, 12288, 3, 84},
-                                {2, 6, 1, 5120, 12288, 3, 84},
-                                {2, 7, 1, 5120, 12288, 3, 84},
-                                {2, 8, 1, 5120, 12288, 3, 72},
-                                {2, 1, 1, 5120, 14336, 3, 84},
-                                {2, 2, 1, 5120, 14336, 3, 84},
-                                {2, 3, 1, 5120, 14336, 3, 84},
-                                {2, 4, 1, 5120, 14336, 3, 84},
-                                {2, 5, 1, 5120, 14336, 3, 84},
-                                {2, 6, 1, 5120, 14336, 3, 84},
-                                {2, 7, 1, 5120, 14336, 3, 84},
-                                {2, 8, 1, 5120, 14336, 3, 84},
-                                {2, 1, 1, 5120, 16384, 3, 84},
-                                {2, 2, 1, 5120, 16384, 3, 84},
-                                {2, 3, 1, 5120, 16384, 3, 84},
-                                {2, 4, 1, 5120, 16384, 3, 84},
-                                {2, 5, 1, 5120, 16384, 3, 84},
-                                {2, 6, 1, 5120, 16384, 3, 84},
-                                {2, 7, 1, 5120, 16384, 3, 84},
-                                {2, 8, 1, 5120, 16384, 3, 64},
-                                {2, 1, 1, 5120, 24576, 3, 84},
-                                {2, 2, 1, 5120, 24576, 3, 84},
-                                {2, 3, 1, 5120, 24576, 3, 84},
-                                {2, 4, 1, 5120, 24576, 3, 84},
-                                {2, 5, 1, 5120, 24576, 3, 84},
-                                {2, 6, 1, 5120, 24576, 3, 84},
-                                {2, 7, 1, 5120, 24576, 3, 84},
-                                {2, 8, 1, 5120, 24576, 3, 66},
-                                {2, 1, 1, 5120, 51200, 3, 84},
-                                {2, 2, 1, 5120, 51200, 3, 84},
-                                {2, 3, 1, 5120, 51200, 3, 84},
-                                {2, 4, 1, 5120, 51200, 3, 84},
-                                {2, 5, 1, 5120, 51200, 3, 84},
-                                {2, 6, 1, 5120, 51200, 3, 84},
-                                {2, 7, 1, 5120, 51200, 3, 84},
-                                {2, 8, 1, 5120, 51200, 3, 80},
-                                {2, 1, 1, 5120, 128000, 3, 84},
-                                {2, 2, 1, 5120, 128000, 3, 84},
-                                {2, 3, 1, 5120, 128000, 3, 84},
-                                {2, 4, 1, 5120, 128000, 3, 84},
-                                {2, 5, 1, 5120, 128000, 3, 84},
-                                {2, 6, 1, 5120, 128000, 3, 84},
-                                {2, 7, 1, 5120, 128000, 3, 84},
-                                {2, 8, 1, 5120, 128000, 3, 80},
-                                {2, 1, 1, 8192, 256, 2, 24},
-                                {2, 2, 1, 8192, 256, 2, 24},
-                                {2, 3, 1, 8192, 256, 2, 26},
-                                {2, 4, 1, 8192, 256, 2, 24},
-                                {2, 5, 1, 8192, 256, 2, 26},
-                                {2, 6, 1, 8192, 256, 2, 26},
-                                {2, 7, 1, 8192, 256, 2, 26},
-                                {2, 8, 1, 8192, 256, 2, 26},
-                                {2, 1, 1, 8192, 512, 2, 48},
-                                {2, 2, 1, 8192, 512, 2, 42},
-                                {2, 3, 1, 8192, 512, 2, 52},
-                                {2, 4, 1, 8192, 512, 2, 42},
-                                {2, 5, 1, 8192, 512, 2, 52},
-                                {2, 6, 1, 8192, 512, 2, 52},
-                                {2, 7, 1, 8192, 512, 2, 52},
-                                {2, 8, 1, 8192, 512, 2, 52},
-                                {2, 1, 1, 8192, 1024, 2, 82},
-                                {2, 2, 1, 8192, 1024, 2, 82},
-                                {2, 3, 1, 8192, 1024, 2, 82},
-                                {2, 4, 1, 8192, 1024, 2, 82},
-                                {2, 5, 1, 8192, 1024, 2, 82},
-                                {2, 6, 1, 8192, 1024, 2, 82},
-                                {2, 7, 1, 8192, 1024, 2, 82},
-                                {2, 8, 1, 8192, 1024, 2, 82},
-                                {2, 1, 1, 8192, 2048, 2, 84},
-                                {2, 2, 1, 8192, 2048, 2, 84},
-                                {2, 3, 1, 8192, 2048, 3, 84},
-                                {2, 4, 1, 8192, 2048, 2, 84},
-                                {2, 5, 1, 8192, 2048, 2, 84},
-                                {2, 6, 1, 8192, 2048, 2, 84},
-                                {2, 7, 1, 8192, 2048, 2, 84},
-                                {2, 8, 1, 8192, 2048, 3, 64},
-                                {2, 1, 1, 8192, 3072, 3, 84},
-                                {2, 2, 1, 8192, 3072, 3, 84},
-                                {2, 3, 1, 8192, 3072, 3, 84},
-                                {2, 4, 1, 8192, 3072, 3, 84},
-                                {2, 5, 1, 8192, 3072, 2, 84},
-                                {2, 6, 1, 8192, 3072, 2, 84},
-                                {2, 7, 1, 8192, 3072, 3, 84},
-                                {2, 8, 1, 8192, 3072, 3, 68},
-                                {2, 1, 1, 8192, 4096, 3, 84},
-                                {2, 2, 1, 8192, 4096, 3, 84},
-                                {2, 3, 1, 8192, 4096, 3, 84},
-                                {2, 4, 1, 8192, 4096, 3, 84},
-                                {2, 5, 1, 8192, 4096, 3, 84},
-                                {2, 6, 1, 8192, 4096, 3, 84},
-                                {2, 7, 1, 8192, 4096, 3, 84},
-                                {2, 8, 1, 8192, 4096, 3, 64},
-                                {2, 1, 1, 8192, 5120, 3, 84},
-                                {2, 2, 1, 8192, 5120, 3, 84},
-                                {2, 3, 1, 8192, 5120, 3, 84},
-                                {2, 4, 1, 8192, 5120, 3, 84},
-                                {2, 5, 1, 8192, 5120, 3, 84},
-                                {2, 6, 1, 8192, 5120, 3, 84},
-                                {2, 7, 1, 8192, 5120, 3, 84},
-                                {2, 8, 1, 8192, 5120, 3, 68},
-                                {2, 1, 1, 8192, 8192, 3, 84},
-                                {2, 2, 1, 8192, 8192, 3, 84},
-                                {2, 3, 1, 8192, 8192, 3, 84},
-                                {2, 4, 1, 8192, 8192, 3, 84},
-                                {2, 5, 1, 8192, 8192, 3, 84},
-                                {2, 6, 1, 8192, 8192, 3, 84},
-                                {2, 7, 1, 8192, 8192, 3, 84},
-                                {2, 8, 1, 8192, 8192, 3, 64},
-                                {2, 1, 1, 8192, 12288, 3, 84},
-                                {2, 2, 1, 8192, 12288, 3, 84},
-                                {2, 3, 1, 8192, 12288, 3, 84},
-                                {2, 4, 1, 8192, 12288, 3, 84},
-                                {2, 5, 1, 8192, 12288, 3, 84},
-                                {2, 6, 1, 8192, 12288, 3, 84},
-                                {2, 7, 1, 8192, 12288, 3, 84},
-                                {2, 8, 1, 8192, 12288, 3, 72},
-                                {2, 1, 1, 8192, 14336, 3, 84},
-                                {2, 2, 1, 8192, 14336, 3, 84},
-                                {2, 3, 1, 8192, 14336, 3, 84},
-                                {2, 4, 1, 8192, 14336, 3, 84},
-                                {2, 5, 1, 8192, 14336, 3, 84},
-                                {2, 6, 1, 8192, 14336, 3, 84},
-                                {2, 7, 1, 8192, 14336, 3, 84},
-                                {2, 8, 1, 8192, 14336, 3, 84},
-                                {2, 1, 1, 8192, 16384, 3, 84},
-                                {2, 2, 1, 8192, 16384, 3, 84},
-                                {2, 3, 1, 8192, 16384, 3, 84},
-                                {2, 4, 1, 8192, 16384, 3, 84},
-                                {2, 5, 1, 8192, 16384, 3, 84},
-                                {2, 6, 1, 8192, 16384, 3, 84},
-                                {2, 7, 1, 8192, 16384, 3, 84},
-                                {2, 8, 1, 8192, 16384, 3, 64},
-                                {2, 1, 1, 8192, 24576, 3, 84},
-                                {2, 2, 1, 8192, 24576, 3, 84},
-                                {2, 3, 1, 8192, 24576, 3, 84},
-                                {2, 4, 1, 8192, 24576, 3, 84},
-                                {2, 5, 1, 8192, 24576, 3, 84},
-                                {2, 6, 1, 8192, 24576, 3, 84},
-                                {2, 7, 1, 8192, 24576, 3, 84},
-                                {2, 8, 1, 8192, 24576, 3, 78},
-                                {2, 1, 1, 8192, 51200, 3, 84},
-                                {2, 2, 1, 8192, 51200, 3, 84},
-                                {2, 3, 1, 8192, 51200, 3, 84},
-                                {2, 4, 1, 8192, 51200, 3, 84},
-                                {2, 5, 1, 8192, 51200, 3, 84},
-                                {2, 6, 1, 8192, 51200, 3, 84},
-                                {2, 7, 1, 8192, 51200, 3, 84},
-                                {2, 8, 1, 8192, 51200, 3, 80},
-                                {2, 1, 1, 8192, 128000, 3, 84},
-                                {2, 2, 1, 8192, 128000, 3, 84},
-                                {2, 3, 1, 8192, 128000, 3, 84},
-                                {2, 4, 1, 8192, 128000, 3, 84},
-                                {2, 5, 1, 8192, 128000, 3, 84},
-                                {2, 6, 1, 8192, 128000, 3, 84},
-                                {2, 7, 1, 8192, 128000, 3, 84},
-                                {2, 8, 1, 8192, 128000, 3, 80},
-                                {2, 1, 1, 12288, 256, 2, 32},
-                                {2, 2, 1, 12288, 256, 2, 32},
-                                {2, 3, 1, 12288, 256, 2, 32},
-                                {2, 4, 1, 12288, 256, 2, 24},
-                                {2, 5, 1, 12288, 256, 2, 32},
-                                {2, 6, 1, 12288, 256, 2, 32},
-                                {2, 7, 1, 12288, 256, 2, 34},
-                                {2, 8, 1, 12288, 256, 2, 32},
-                                {2, 1, 1, 12288, 512, 2, 64},
-                                {2, 2, 1, 12288, 512, 2, 64},
-                                {2, 3, 1, 12288, 512, 2, 64},
-                                {2, 4, 1, 12288, 512, 2, 52},
-                                {2, 5, 1, 12288, 512, 2, 64},
-                                {2, 6, 1, 12288, 512, 2, 64},
-                                {2, 7, 1, 12288, 512, 2, 64},
-                                {2, 8, 1, 12288, 512, 2, 64},
-                                {2, 1, 1, 12288, 1024, 2, 84},
-                                {2, 2, 1, 12288, 1024, 2, 84},
-                                {2, 3, 1, 12288, 1024, 2, 84},
-                                {2, 4, 1, 12288, 1024, 2, 84},
-                                {2, 5, 1, 12288, 1024, 2, 84},
-                                {2, 6, 1, 12288, 1024, 2, 84},
-                                {2, 7, 1, 12288, 1024, 2, 84},
-                                {2, 8, 1, 12288, 1024, 2, 84},
-                                {2, 1, 1, 12288, 2048, 3, 84},
-                                {2, 2, 1, 12288, 2048, 3, 84},
-                                {2, 3, 1, 12288, 2048, 3, 84},
-                                {2, 4, 1, 12288, 2048, 3, 84},
-                                {2, 5, 1, 12288, 2048, 2, 84},
-                                {2, 6, 1, 12288, 2048, 2, 84},
-                                {2, 7, 1, 12288, 2048, 3, 84},
-                                {2, 8, 1, 12288, 2048, 3, 64},
-                                {2, 1, 1, 12288, 3072, 3, 84},
-                                {2, 2, 1, 12288, 3072, 3, 84},
-                                {2, 3, 1, 12288, 3072, 3, 84},
-                                {2, 4, 1, 12288, 3072, 3, 84},
-                                {2, 5, 1, 12288, 3072, 3, 84},
-                                {2, 6, 1, 12288, 3072, 3, 84},
-                                {2, 7, 1, 12288, 3072, 3, 84},
-                                {2, 8, 1, 12288, 3072, 3, 72},
-                                {2, 1, 1, 12288, 4096, 3, 84},
-                                {2, 2, 1, 12288, 4096, 3, 84},
-                                {2, 3, 1, 12288, 4096, 3, 84},
-                                {2, 4, 1, 12288, 4096, 3, 84},
-                                {2, 5, 1, 12288, 4096, 3, 84},
-                                {2, 6, 1, 12288, 4096, 3, 84},
-                                {2, 7, 1, 12288, 4096, 3, 84},
-                                {2, 8, 1, 12288, 4096, 3, 64},
-                                {2, 1, 1, 12288, 5120, 3, 84},
-                                {2, 2, 1, 12288, 5120, 3, 84},
-                                {2, 3, 1, 12288, 5120, 3, 84},
-                                {2, 4, 1, 12288, 5120, 3, 84},
-                                {2, 5, 1, 12288, 5120, 3, 84},
-                                {2, 6, 1, 12288, 5120, 3, 84},
-                                {2, 7, 1, 12288, 5120, 3, 84},
-                                {2, 8, 1, 12288, 5120, 3, 80},
-                                {2, 1, 1, 12288, 8192, 3, 84},
-                                {2, 2, 1, 12288, 8192, 3, 84},
-                                {2, 3, 1, 12288, 8192, 3, 84},
-                                {2, 4, 1, 12288, 8192, 3, 84},
-                                {2, 5, 1, 12288, 8192, 3, 84},
-                                {2, 6, 1, 12288, 8192, 3, 84},
-                                {2, 7, 1, 12288, 8192, 3, 84},
-                                {2, 8, 1, 12288, 8192, 3, 64},
-                                {2, 1, 1, 12288, 12288, 3, 84},
-                                {2, 2, 1, 12288, 12288, 3, 84},
-                                {2, 3, 1, 12288, 12288, 3, 84},
-                                {2, 4, 1, 12288, 12288, 3, 84},
-                                {2, 5, 1, 12288, 12288, 3, 84},
-                                {2, 6, 1, 12288, 12288, 3, 84},
-                                {2, 7, 1, 12288, 12288, 3, 84},
-                                {2, 8, 1, 12288, 12288, 3, 72},
-                                {2, 1, 1, 12288, 14336, 3, 84},
-                                {2, 2, 1, 12288, 14336, 3, 84},
-                                {2, 3, 1, 12288, 14336, 3, 84},
-                                {2, 4, 1, 12288, 14336, 3, 84},
-                                {2, 5, 1, 12288, 14336, 3, 84},
-                                {2, 6, 1, 12288, 14336, 3, 84},
-                                {2, 7, 1, 12288, 14336, 3, 84},
-                                {2, 8, 1, 12288, 14336, 3, 84},
-                                {2, 1, 1, 12288, 16384, 3, 84},
-                                {2, 2, 1, 12288, 16384, 3, 84},
-                                {2, 3, 1, 12288, 16384, 3, 84},
-                                {2, 4, 1, 12288, 16384, 3, 84},
-                                {2, 5, 1, 12288, 16384, 3, 84},
-                                {2, 6, 1, 12288, 16384, 3, 84},
-                                {2, 7, 1, 12288, 16384, 3, 84},
-                                {2, 8, 1, 12288, 16384, 3, 64},
-                                {2, 1, 1, 12288, 24576, 3, 84},
-                                {2, 2, 1, 12288, 24576, 3, 84},
-                                {2, 3, 1, 12288, 24576, 3, 84},
-                                {2, 4, 1, 12288, 24576, 3, 84},
-                                {2, 5, 1, 12288, 24576, 3, 84},
-                                {2, 6, 1, 12288, 24576, 3, 84},
-                                {2, 7, 1, 12288, 24576, 3, 84},
-                                {2, 8, 1, 12288, 24576, 3, 84},
-                                {2, 1, 1, 12288, 51200, 3, 84},
-                                {2, 2, 1, 12288, 51200, 3, 84},
-                                {2, 3, 1, 12288, 51200, 3, 84},
-                                {2, 4, 1, 12288, 51200, 3, 84},
-                                {2, 5, 1, 12288, 51200, 3, 84},
-                                {2, 6, 1, 12288, 51200, 3, 84},
-                                {2, 7, 1, 12288, 51200, 3, 84},
-                                {2, 8, 1, 12288, 51200, 3, 80},
-                                {2, 1, 1, 12288, 128000, 3, 84},
-                                {2, 2, 1, 12288, 128000, 3, 84},
-                                {2, 3, 1, 12288, 128000, 3, 84},
-                                {2, 4, 1, 12288, 128000, 3, 84},
-                                {2, 5, 1, 12288, 128000, 3, 84},
-                                {2, 6, 1, 12288, 128000, 3, 84},
-                                {2, 7, 1, 12288, 128000, 3, 84},
-                                {2, 8, 1, 12288, 128000, 3, 82},
-                                {2, 1, 1, 14336, 256, 2, 32},
-                                {2, 2, 1, 14336, 256, 2, 30},
-                                {2, 3, 1, 14336, 256, 2, 32},
-                                {2, 4, 1, 14336, 256, 2, 30},
-                                {2, 5, 1, 14336, 256, 2, 32},
-                                {2, 6, 1, 14336, 256, 2, 36},
-                                {2, 7, 1, 14336, 256, 2, 36},
-                                {2, 8, 1, 14336, 256, 2, 36},
-                                {2, 1, 1, 14336, 512, 2, 60},
-                                {2, 2, 1, 14336, 512, 2, 64},
-                                {2, 3, 1, 14336, 512, 2, 64},
-                                {2, 4, 1, 14336, 512, 2, 60},
-                                {2, 5, 1, 14336, 512, 2, 64},
-                                {2, 6, 1, 14336, 512, 2, 64},
-                                {2, 7, 1, 14336, 512, 2, 72},
-                                {2, 8, 1, 14336, 512, 2, 64},
-                                {2, 1, 1, 14336, 1024, 2, 84},
-                                {2, 2, 1, 14336, 1024, 2, 84},
-                                {2, 3, 1, 14336, 1024, 2, 84},
-                                {2, 4, 1, 14336, 1024, 2, 84},
-                                {2, 5, 1, 14336, 1024, 2, 84},
-                                {2, 6, 1, 14336, 1024, 2, 84},
-                                {2, 7, 1, 14336, 1024, 2, 84},
-                                {2, 8, 1, 14336, 1024, 2, 84},
-                                {2, 1, 1, 14336, 2048, 3, 84},
-                                {2, 2, 1, 14336, 2048, 3, 84},
-                                {2, 3, 1, 14336, 2048, 3, 84},
-                                {2, 4, 1, 14336, 2048, 3, 84},
-                                {2, 5, 1, 14336, 2048, 2, 84},
-                                {2, 6, 1, 14336, 2048, 2, 84},
-                                {2, 7, 1, 14336, 2048, 3, 84},
-                                {2, 8, 1, 14336, 2048, 3, 64},
-                                {2, 1, 1, 14336, 3072, 3, 84},
-                                {2, 2, 1, 14336, 3072, 3, 84},
-                                {2, 3, 1, 14336, 3072, 3, 84},
-                                {2, 4, 1, 14336, 3072, 3, 84},
-                                {2, 5, 1, 14336, 3072, 3, 84},
-                                {2, 6, 1, 14336, 3072, 3, 84},
-                                {2, 7, 1, 14336, 3072, 3, 84},
-                                {2, 8, 1, 14336, 3072, 3, 72},
-                                {2, 1, 1, 14336, 4096, 3, 84},
-                                {2, 2, 1, 14336, 4096, 3, 84},
-                                {2, 3, 1, 14336, 4096, 3, 84},
-                                {2, 4, 1, 14336, 4096, 3, 84},
-                                {2, 5, 1, 14336, 4096, 3, 84},
-                                {2, 6, 1, 14336, 4096, 3, 84},
-                                {2, 7, 1, 14336, 4096, 3, 84},
-                                {2, 8, 1, 14336, 4096, 3, 64},
-                                {2, 1, 1, 14336, 5120, 3, 84},
-                                {2, 2, 1, 14336, 5120, 3, 84},
-                                {2, 3, 1, 14336, 5120, 3, 84},
-                                {2, 4, 1, 14336, 5120, 3, 84},
-                                {2, 5, 1, 14336, 5120, 3, 84},
-                                {2, 6, 1, 14336, 5120, 3, 84},
-                                {2, 7, 1, 14336, 5120, 3, 84},
-                                {2, 8, 1, 14336, 5120, 3, 68},
-                                {2, 1, 1, 14336, 8192, 3, 84},
-                                {2, 2, 1, 14336, 8192, 3, 84},
-                                {2, 3, 1, 14336, 8192, 3, 84},
-                                {2, 4, 1, 14336, 8192, 3, 84},
-                                {2, 5, 1, 14336, 8192, 3, 84},
-                                {2, 6, 1, 14336, 8192, 3, 84},
-                                {2, 7, 1, 14336, 8192, 3, 84},
-                                {2, 8, 1, 14336, 8192, 3, 64},
-                                {2, 1, 1, 14336, 12288, 3, 84},
-                                {2, 2, 1, 14336, 12288, 3, 84},
-                                {2, 3, 1, 14336, 12288, 3, 84},
-                                {2, 4, 1, 14336, 12288, 3, 84},
-                                {2, 5, 1, 14336, 12288, 3, 84},
-                                {2, 6, 1, 14336, 12288, 3, 84},
-                                {2, 7, 1, 14336, 12288, 3, 84},
-                                {2, 8, 1, 14336, 12288, 3, 72},
-                                {2, 1, 1, 14336, 14336, 3, 84},
-                                {2, 2, 1, 14336, 14336, 3, 84},
-                                {2, 3, 1, 14336, 14336, 3, 84},
-                                {2, 4, 1, 14336, 14336, 3, 84},
-                                {2, 5, 1, 14336, 14336, 3, 84},
-                                {2, 6, 1, 14336, 14336, 3, 84},
-                                {2, 7, 1, 14336, 14336, 3, 84},
-                                {2, 8, 1, 14336, 14336, 3, 84},
-                                {2, 1, 1, 14336, 16384, 3, 84},
-                                {2, 2, 1, 14336, 16384, 3, 84},
-                                {2, 3, 1, 14336, 16384, 3, 84},
-                                {2, 4, 1, 14336, 16384, 3, 84},
-                                {2, 5, 1, 14336, 16384, 3, 84},
-                                {2, 6, 1, 14336, 16384, 3, 84},
-                                {2, 7, 1, 14336, 16384, 3, 84},
-                                {2, 8, 1, 14336, 16384, 3, 64},
-                                {2, 1, 1, 14336, 24576, 3, 84},
-                                {2, 2, 1, 14336, 24576, 3, 84},
-                                {2, 3, 1, 14336, 24576, 3, 84},
-                                {2, 4, 1, 14336, 24576, 3, 84},
-                                {2, 5, 1, 14336, 24576, 3, 84},
-                                {2, 6, 1, 14336, 24576, 3, 84},
-                                {2, 7, 1, 14336, 24576, 3, 84},
-                                {2, 8, 1, 14336, 24576, 3, 66},
-                                {2, 1, 1, 14336, 51200, 3, 84},
-                                {2, 2, 1, 14336, 51200, 3, 84},
-                                {2, 3, 1, 14336, 51200, 3, 84},
-                                {2, 4, 1, 14336, 51200, 3, 84},
-                                {2, 5, 1, 14336, 51200, 3, 84},
-                                {2, 6, 1, 14336, 51200, 3, 84},
-                                {2, 7, 1, 14336, 51200, 3, 84},
-                                {2, 8, 1, 14336, 51200, 3, 80},
-                                {2, 1, 1, 14336, 128000, 3, 84},
-                                {2, 2, 1, 14336, 128000, 3, 84},
-                                {2, 3, 1, 14336, 128000, 3, 84},
-                                {2, 4, 1, 14336, 128000, 3, 84},
-                                {2, 5, 1, 14336, 128000, 3, 84},
-                                {2, 6, 1, 14336, 128000, 3, 84},
-                                {2, 7, 1, 14336, 128000, 3, 84},
-                                {2, 8, 1, 14336, 128000, 3, 84},
-                                {2, 1, 1, 16384, 256, 2, 38},
-                                {2, 2, 1, 16384, 256, 2, 38},
-                                {2, 3, 1, 16384, 256, 2, 38},
-                                {2, 4, 1, 16384, 256, 2, 32},
-                                {2, 5, 1, 16384, 256, 2, 38},
-                                {2, 6, 1, 16384, 256, 2, 38},
-                                {2, 7, 1, 16384, 256, 2, 38},
-                                {2, 8, 1, 16384, 256, 2, 38},
-                                {2, 1, 1, 16384, 512, 2, 64},
-                                {2, 2, 1, 16384, 512, 2, 64},
-                                {2, 3, 1, 16384, 512, 2, 76},
-                                {2, 4, 1, 16384, 512, 2, 64},
-                                {2, 5, 1, 16384, 512, 2, 64},
-                                {2, 6, 1, 16384, 512, 2, 76},
-                                {2, 7, 1, 16384, 512, 2, 76},
-                                {2, 8, 1, 16384, 512, 2, 72},
-                                {2, 1, 1, 16384, 1024, 2, 84},
-                                {2, 2, 1, 16384, 1024, 2, 84},
-                                {2, 3, 1, 16384, 1024, 2, 84},
-                                {2, 4, 1, 16384, 1024, 2, 84},
-                                {2, 5, 1, 16384, 1024, 2, 84},
-                                {2, 6, 1, 16384, 1024, 2, 84},
-                                {2, 7, 1, 16384, 1024, 2, 84},
-                                {2, 8, 1, 16384, 1024, 2, 84},
-                                {2, 1, 1, 16384, 2048, 3, 84},
-                                {2, 2, 1, 16384, 2048, 3, 84},
-                                {2, 3, 1, 16384, 2048, 3, 84},
-                                {2, 4, 1, 16384, 2048, 3, 84},
-                                {2, 5, 1, 16384, 2048, 2, 84},
-                                {2, 6, 1, 16384, 2048, 2, 84},
-                                {2, 7, 1, 16384, 2048, 3, 84},
-                                {2, 8, 1, 16384, 2048, 3, 64},
-                                {2, 1, 1, 16384, 3072, 3, 84},
-                                {2, 2, 1, 16384, 3072, 3, 84},
-                                {2, 3, 1, 16384, 3072, 3, 84},
-                                {2, 4, 1, 16384, 3072, 3, 84},
-                                {2, 5, 1, 16384, 3072, 3, 84},
-                                {2, 6, 1, 16384, 3072, 3, 84},
-                                {2, 7, 1, 16384, 3072, 3, 84},
-                                {2, 8, 1, 16384, 3072, 3, 68},
-                                {2, 1, 1, 16384, 4096, 3, 84},
-                                {2, 2, 1, 16384, 4096, 3, 84},
-                                {2, 3, 1, 16384, 4096, 3, 84},
-                                {2, 4, 1, 16384, 4096, 3, 84},
-                                {2, 5, 1, 16384, 4096, 3, 84},
-                                {2, 6, 1, 16384, 4096, 3, 84},
-                                {2, 7, 1, 16384, 4096, 3, 84},
-                                {2, 8, 1, 16384, 4096, 3, 66},
-                                {2, 1, 1, 16384, 5120, 3, 84},
-                                {2, 2, 1, 16384, 5120, 3, 84},
-                                {2, 3, 1, 16384, 5120, 3, 84},
-                                {2, 4, 1, 16384, 5120, 3, 84},
-                                {2, 5, 1, 16384, 5120, 3, 84},
-                                {2, 6, 1, 16384, 5120, 3, 84},
-                                {2, 7, 1, 16384, 5120, 3, 84},
-                                {2, 8, 1, 16384, 5120, 3, 68},
-                                {2, 1, 1, 16384, 8192, 3, 84},
-                                {2, 2, 1, 16384, 8192, 3, 84},
-                                {2, 3, 1, 16384, 8192, 3, 84},
-                                {2, 4, 1, 16384, 8192, 3, 84},
-                                {2, 5, 1, 16384, 8192, 3, 84},
-                                {2, 6, 1, 16384, 8192, 3, 84},
-                                {2, 7, 1, 16384, 8192, 3, 84},
-                                {2, 8, 1, 16384, 8192, 3, 64},
-                                {2, 1, 1, 16384, 12288, 3, 84},
-                                {2, 2, 1, 16384, 12288, 3, 84},
-                                {2, 3, 1, 16384, 12288, 3, 84},
-                                {2, 4, 1, 16384, 12288, 3, 84},
-                                {2, 5, 1, 16384, 12288, 3, 84},
-                                {2, 6, 1, 16384, 12288, 3, 84},
-                                {2, 7, 1, 16384, 12288, 3, 84},
-                                {2, 8, 1, 16384, 12288, 3, 72},
-                                {2, 1, 1, 16384, 14336, 3, 84},
-                                {2, 2, 1, 16384, 14336, 3, 84},
-                                {2, 3, 1, 16384, 14336, 3, 84},
-                                {2, 4, 1, 16384, 14336, 3, 84},
-                                {2, 5, 1, 16384, 14336, 3, 84},
-                                {2, 6, 1, 16384, 14336, 3, 84},
-                                {2, 7, 1, 16384, 14336, 3, 84},
-                                {2, 8, 1, 16384, 14336, 3, 72},
-                                {2, 1, 1, 16384, 16384, 3, 84},
-                                {2, 2, 1, 16384, 16384, 3, 84},
-                                {2, 3, 1, 16384, 16384, 3, 84},
-                                {2, 4, 1, 16384, 16384, 3, 84},
-                                {2, 5, 1, 16384, 16384, 3, 84},
-                                {2, 6, 1, 16384, 16384, 3, 84},
-                                {2, 7, 1, 16384, 16384, 3, 84},
-                                {2, 8, 1, 16384, 16384, 3, 64},
-                                {2, 1, 1, 16384, 24576, 3, 84},
-                                {2, 2, 1, 16384, 24576, 3, 84},
-                                {2, 3, 1, 16384, 24576, 3, 84},
-                                {2, 4, 1, 16384, 24576, 3, 84},
-                                {2, 5, 1, 16384, 24576, 3, 84},
-                                {2, 6, 1, 16384, 24576, 3, 84},
-                                {2, 7, 1, 16384, 24576, 3, 84},
-                                {2, 8, 1, 16384, 24576, 3, 78},
-                                {2, 1, 1, 16384, 51200, 3, 84},
-                                {2, 2, 1, 16384, 51200, 3, 84},
-                                {2, 3, 1, 16384, 51200, 3, 84},
-                                {2, 4, 1, 16384, 51200, 3, 84},
-                                {2, 5, 1, 16384, 51200, 3, 84},
-                                {2, 6, 1, 16384, 51200, 3, 84},
-                                {2, 7, 1, 16384, 51200, 3, 84},
-                                {2, 8, 1, 16384, 51200, 3, 80},
-                                {2, 1, 1, 16384, 128000, 3, 84},
-                                {2, 2, 1, 16384, 128000, 3, 84},
-                                {2, 3, 1, 16384, 128000, 3, 84},
-                                {2, 4, 1, 16384, 128000, 3, 84},
-                                {2, 5, 1, 16384, 128000, 3, 84},
-                                {2, 6, 1, 16384, 128000, 3, 84},
-                                {2, 7, 1, 16384, 128000, 3, 84},
-                                {2, 8, 1, 16384, 128000, 3, 84},
-                                {2, 1, 1, 24576, 256, 2, 42},
-                                {2, 2, 1, 24576, 256, 2, 42},
-                                {2, 3, 1, 24576, 256, 2, 42},
-                                {2, 4, 1, 24576, 256, 2, 36},
-                                {2, 5, 1, 24576, 256, 2, 44},
-                                {2, 6, 1, 24576, 256, 2, 44},
-                                {2, 7, 1, 24576, 256, 2, 48},
-                                {2, 8, 1, 24576, 256, 2, 48},
-                                {2, 1, 1, 24576, 512, 2, 80},
-                                {2, 2, 1, 24576, 512, 2, 72},
-                                {2, 3, 1, 24576, 512, 2, 84},
-                                {2, 4, 1, 24576, 512, 2, 72},
-                                {2, 5, 1, 24576, 512, 2, 84},
-                                {2, 6, 1, 24576, 512, 2, 84},
-                                {2, 7, 1, 24576, 512, 2, 84},
-                                {2, 8, 1, 24576, 512, 2, 84},
-                                {2, 1, 1, 24576, 1024, 2, 84},
-                                {2, 2, 1, 24576, 1024, 2, 84},
-                                {2, 3, 1, 24576, 1024, 3, 84},
-                                {2, 4, 1, 24576, 1024, 2, 84},
-                                {2, 5, 1, 24576, 1024, 2, 84},
-                                {2, 6, 1, 24576, 1024, 2, 84},
-                                {2, 7, 1, 24576, 1024, 2, 84},
-                                {2, 8, 1, 24576, 1024, 2, 84},
-                                {2, 1, 1, 24576, 2048, 3, 84},
-                                {2, 2, 1, 24576, 2048, 3, 84},
-                                {2, 3, 1, 24576, 2048, 3, 84},
-                                {2, 4, 1, 24576, 2048, 3, 84},
-                                {2, 5, 1, 24576, 2048, 3, 84},
-                                {2, 6, 1, 24576, 2048, 3, 84},
-                                {2, 7, 1, 24576, 2048, 3, 84},
-                                {2, 8, 1, 24576, 2048, 3, 64},
-                                {2, 1, 1, 24576, 3072, 3, 84},
-                                {2, 2, 1, 24576, 3072, 3, 84},
-                                {2, 3, 1, 24576, 3072, 3, 84},
-                                {2, 4, 1, 24576, 3072, 3, 84},
-                                {2, 5, 1, 24576, 3072, 3, 84},
-                                {2, 6, 1, 24576, 3072, 3, 84},
-                                {2, 7, 1, 24576, 3072, 3, 84},
-                                {2, 8, 1, 24576, 3072, 3, 72},
-                                {2, 1, 1, 24576, 4096, 3, 84},
-                                {2, 2, 1, 24576, 4096, 3, 84},
-                                {2, 3, 1, 24576, 4096, 3, 84},
-                                {2, 4, 1, 24576, 4096, 3, 84},
-                                {2, 5, 1, 24576, 4096, 3, 84},
-                                {2, 6, 1, 24576, 4096, 3, 84},
-                                {2, 7, 1, 24576, 4096, 3, 84},
-                                {2, 8, 1, 24576, 4096, 3, 64},
-                                {2, 1, 1, 24576, 5120, 3, 84},
-                                {2, 2, 1, 24576, 5120, 3, 84},
-                                {2, 3, 1, 24576, 5120, 3, 84},
-                                {2, 4, 1, 24576, 5120, 3, 84},
-                                {2, 5, 1, 24576, 5120, 3, 84},
-                                {2, 6, 1, 24576, 5120, 3, 84},
-                                {2, 7, 1, 24576, 5120, 3, 84},
-                                {2, 8, 1, 24576, 5120, 3, 80},
-                                {2, 1, 1, 24576, 8192, 3, 84},
-                                {2, 2, 1, 24576, 8192, 3, 84},
-                                {2, 3, 1, 24576, 8192, 3, 84},
-                                {2, 4, 1, 24576, 8192, 3, 84},
-                                {2, 5, 1, 24576, 8192, 3, 84},
-                                {2, 6, 1, 24576, 8192, 3, 84},
-                                {2, 7, 1, 24576, 8192, 3, 84},
-                                {2, 8, 1, 24576, 8192, 3, 64},
-                                {2, 1, 1, 24576, 12288, 3, 84},
-                                {2, 2, 1, 24576, 12288, 3, 84},
-                                {2, 3, 1, 24576, 12288, 3, 84},
-                                {2, 4, 1, 24576, 12288, 3, 84},
-                                {2, 5, 1, 24576, 12288, 3, 84},
-                                {2, 6, 1, 24576, 12288, 3, 84},
-                                {2, 7, 1, 24576, 12288, 3, 84},
-                                {2, 8, 1, 24576, 12288, 3, 72},
-                                {2, 1, 1, 24576, 14336, 3, 84},
-                                {2, 2, 1, 24576, 14336, 3, 84},
-                                {2, 3, 1, 24576, 14336, 3, 84},
-                                {2, 4, 1, 24576, 14336, 3, 84},
-                                {2, 5, 1, 24576, 14336, 3, 84},
-                                {2, 6, 1, 24576, 14336, 3, 84},
-                                {2, 7, 1, 24576, 14336, 3, 84},
-                                {2, 8, 1, 24576, 14336, 3, 84},
-                                {2, 1, 1, 24576, 16384, 3, 84},
-                                {2, 2, 1, 24576, 16384, 3, 84},
-                                {2, 3, 1, 24576, 16384, 3, 84},
-                                {2, 4, 1, 24576, 16384, 3, 84},
-                                {2, 5, 1, 24576, 16384, 3, 84},
-                                {2, 6, 1, 24576, 16384, 3, 84},
-                                {2, 7, 1, 24576, 16384, 3, 84},
-                                {2, 8, 1, 24576, 16384, 3, 64},
-                                {2, 1, 1, 24576, 24576, 3, 84},
-                                {2, 2, 1, 24576, 24576, 3, 84},
-                                {2, 3, 1, 24576, 24576, 3, 84},
-                                {2, 4, 1, 24576, 24576, 3, 84},
-                                {2, 5, 1, 24576, 24576, 3, 84},
-                                {2, 6, 1, 24576, 24576, 3, 84},
-                                {2, 7, 1, 24576, 24576, 3, 84},
-                                {2, 8, 1, 24576, 24576, 3, 66},
-                                {2, 1, 1, 24576, 51200, 3, 84},
-                                {2, 2, 1, 24576, 51200, 3, 84},
-                                {2, 3, 1, 24576, 51200, 3, 84},
-                                {2, 4, 1, 24576, 51200, 3, 84},
-                                {2, 5, 1, 24576, 51200, 3, 84},
-                                {2, 6, 1, 24576, 51200, 3, 84},
-                                {2, 7, 1, 24576, 51200, 3, 84},
-                                {2, 8, 1, 24576, 51200, 3, 80},
-                                {2, 1, 1, 24576, 128000, 3, 84},
-                                {2, 2, 1, 24576, 128000, 3, 84},
-                                {2, 3, 1, 24576, 128000, 3, 84},
-                                {2, 4, 1, 24576, 128000, 3, 84},
-                                {2, 5, 1, 24576, 128000, 3, 84},
-                                {2, 6, 1, 24576, 128000, 3, 84},
-                                {2, 7, 1, 24576, 128000, 3, 84},
-                                {2, 8, 1, 24576, 128000, 3, 84},
-                                {0, 0, 0, 0, 0, 0, 0}};
-
-struct TSample samples_512[] = {{4, 1, 1, 128, 512, 1, 4},
-                                {4, 2, 1, 128, 512, 1, 8},
-                                {4, 3, 1, 128, 512, 2, 4},
-                                {4, 4, 1, 128, 512, 2, 4},
-                                {4, 5, 1, 128, 512, 2, 8},
-                                {4, 6, 1, 128, 512, 1, 8},
-                                {4, 7, 1, 128, 512, 1, 8},
-                                {4, 8, 1, 128, 512, 2, 4},
-                                {4, 1, 1, 128, 1024, 1, 16},
-                                {4, 2, 1, 128, 1024, 1, 16},
-                                {4, 3, 1, 128, 1024, 2, 8},
-                                {4, 4, 1, 128, 1024, 2, 8},
-                                {4, 5, 1, 128, 1024, 1, 16},
-                                {4, 6, 1, 128, 1024, 2, 8},
-                                {4, 7, 1, 128, 1024, 1, 8},
-                                {4, 8, 1, 128, 1024, 1, 16},
-                                {4, 1, 1, 128, 2048, 2, 16},
-                                {4, 2, 1, 128, 2048, 1, 16},
-                                {4, 3, 1, 128, 2048, 1, 16},
-                                {4, 4, 1, 128, 2048, 2, 16},
-                                {4, 5, 1, 128, 2048, 1, 32},
-                                {4, 6, 1, 128, 2048, 1, 32},
-                                {4, 7, 1, 128, 2048, 2, 128},
-                                {4, 8, 1, 128, 2048, 1, 32},
-                                {4, 1, 1, 128, 3072, 1, 32},
-                                {4, 2, 1, 128, 3072, 1, 48},
-                                {4, 3, 1, 128, 3072, 1, 24},
-                                {4, 4, 1, 128, 3072, 1, 24},
-                                {4, 5, 1, 128, 3072, 1, 48},
-                                {4, 6, 1, 128, 3072, 1, 48},
-                                {4, 7, 1, 128, 3072, 1, 50},
-                                {4, 8, 1, 128, 3072, 1, 48},
-                                {4, 1, 1, 128, 4096, 1, 64},
-                                {4, 2, 1, 128, 4096, 2, 32},
-                                {4, 3, 1, 128, 4096, 2, 32},
-                                {4, 4, 1, 128, 4096, 1, 64},
-                                {4, 5, 1, 128, 4096, 1, 64},
-                                {4, 6, 1, 128, 4096, 1, 64},
-                                {4, 7, 1, 128, 4096, 2, 92},
-                                {4, 8, 1, 128, 4096, 1, 64},
-                                {4, 1, 1, 128, 5120, 1, 80},
-                                {4, 2, 1, 128, 5120, 1, 40},
-                                {4, 3, 1, 128, 5120, 1, 40},
-                                {4, 4, 1, 128, 5120, 2, 40},
-                                {4, 5, 1, 128, 5120, 1, 80},
-                                {4, 6, 1, 128, 5120, 1, 60},
-                                {4, 7, 1, 128, 5120, 2, 48},
-                                {4, 8, 1, 128, 5120, 1, 80},
-                                {4, 1, 1, 128, 8192, 1, 64},
-                                {4, 2, 1, 128, 8192, 2, 64},
-                                {4, 3, 1, 128, 8192, 1, 64},
-                                {4, 4, 1, 128, 8192, 2, 64},
-                                {4, 5, 1, 128, 8192, 2, 152},
-                                {4, 6, 1, 128, 8192, 1, 64},
-                                {4, 7, 1, 128, 8192, 1, 116},
-                                {4, 8, 1, 128, 8192, 1, 64},
-                                {4, 1, 1, 128, 12288, 2, 96},
-                                {4, 2, 1, 128, 12288, 1, 96},
-                                {4, 3, 1, 128, 12288, 2, 162},
-                                {4, 4, 1, 128, 12288, 1, 96},
-                                {4, 5, 1, 128, 12288, 2, 146},
-                                {4, 6, 1, 128, 12288, 1, 152},
-                                {4, 7, 1, 128, 12288, 1, 164},
-                                {4, 8, 1, 128, 12288, 1, 96},
-                                {4, 1, 1, 128, 14336, 2, 112},
-                                {4, 2, 1, 128, 14336, 1, 112},
-                                {4, 3, 1, 128, 14336, 2, 112},
-                                {4, 4, 1, 128, 14336, 1, 112},
-                                {4, 5, 1, 128, 14336, 1, 134},
-                                {4, 6, 1, 128, 14336, 1, 144},
-                                {4, 7, 1, 128, 14336, 1, 166},
-                                {4, 8, 1, 128, 14336, 1, 112},
-                                {4, 1, 1, 128, 16384, 1, 128},
-                                {4, 2, 1, 128, 16384, 1, 128},
-                                {4, 3, 1, 128, 16384, 2, 128},
-                                {4, 4, 1, 128, 16384, 2, 128},
-                                {4, 5, 1, 128, 16384, 2, 108},
-                                {4, 6, 1, 128, 16384, 1, 118},
-                                {4, 7, 1, 128, 16384, 1, 158},
-                                {4, 8, 1, 128, 16384, 1, 128},
-                                {4, 1, 1, 128, 24576, 2, 146},
-                                {4, 2, 1, 128, 24576, 2, 96},
-                                {4, 3, 1, 128, 24576, 2, 144},
-                                {4, 4, 1, 128, 24576, 1, 164},
-                                {4, 5, 1, 128, 24576, 1, 170},
-                                {4, 6, 1, 128, 24576, 2, 152},
-                                {4, 7, 1, 128, 24576, 1, 158},
-                                {4, 8, 1, 128, 24576, 1, 156},
-                                {4, 1, 1, 128, 51200, 2, 156},
-                                {4, 2, 1, 128, 51200, 4, 100},
-                                {4, 3, 1, 128, 51200, 4, 156},
-                                {4, 4, 1, 128, 51200, 2, 152},
-                                {4, 5, 1, 128, 51200, 4, 120},
-                                {4, 6, 1, 128, 51200, 4, 136},
-                                {4, 7, 1, 128, 51200, 4, 152},
-                                {4, 8, 1, 128, 51200, 1, 160},
-                                {4, 1, 1, 128, 128000, 4, 156},
-                                {4, 2, 1, 128, 128000, 4, 156},
-                                {4, 3, 1, 128, 128000, 4, 170},
-                                {4, 4, 1, 128, 128000, 4, 156},
-                                {4, 5, 1, 128, 128000, 4, 170},
-                                {4, 6, 1, 128, 128000, 4, 160},
-                                {4, 7, 1, 128, 128000, 4, 128},
-                                {4, 8, 1, 128, 128000, 4, 156},
-                                {4, 1, 1, 256, 512, 2, 14},
-                                {4, 2, 1, 256, 512, 1, 6},
-                                {4, 3, 1, 256, 512, 2, 16},
-                                {4, 4, 1, 256, 512, 2, 4},
-                                {4, 5, 1, 256, 512, 1, 12},
-                                {4, 6, 1, 256, 512, 1, 8},
-                                {4, 7, 1, 256, 512, 2, 12},
-                                {4, 8, 1, 256, 512, 1, 16},
-                                {4, 1, 1, 256, 1024, 2, 10},
-                                {4, 2, 1, 256, 1024, 1, 18},
-                                {4, 3, 1, 256, 1024, 2, 8},
-                                {4, 4, 1, 256, 1024, 2, 16},
-                                {4, 5, 1, 256, 1024, 2, 12},
-                                {4, 6, 1, 256, 1024, 2, 18},
-                                {4, 7, 1, 256, 1024, 2, 16},
-                                {4, 8, 1, 256, 1024, 2, 8},
-                                {4, 1, 1, 256, 2048, 1, 20},
-                                {4, 2, 1, 256, 2048, 1, 26},
-                                {4, 3, 1, 256, 2048, 2, 24},
-                                {4, 4, 1, 256, 2048, 1, 32},
-                                {4, 5, 1, 256, 2048, 2, 42},
-                                {4, 6, 1, 256, 2048, 1, 42},
-                                {4, 7, 1, 256, 2048, 2, 32},
-                                {4, 8, 1, 256, 2048, 1, 30},
-                                {4, 1, 1, 256, 3072, 1, 76},
-                                {4, 2, 1, 256, 3072, 2, 32},
-                                {4, 3, 1, 256, 3072, 2, 42},
-                                {4, 4, 1, 256, 3072, 1, 66},
-                                {4, 5, 1, 256, 3072, 2, 48},
-                                {4, 6, 1, 256, 3072, 2, 42},
-                                {4, 7, 1, 256, 3072, 2, 54},
-                                {4, 8, 1, 256, 3072, 2, 48},
-                                {4, 1, 1, 256, 4096, 2, 80},
-                                {4, 2, 1, 256, 4096, 1, 82},
-                                {4, 3, 1, 256, 4096, 1, 96},
-                                {4, 4, 1, 256, 4096, 2, 64},
-                                {4, 5, 1, 256, 4096, 2, 64},
-                                {4, 6, 1, 256, 4096, 2, 70},
-                                {4, 7, 1, 256, 4096, 1, 64},
-                                {4, 8, 1, 256, 4096, 1, 64},
-                                {4, 1, 1, 256, 5120, 2, 98},
-                                {4, 2, 1, 256, 5120, 2, 92},
-                                {4, 3, 1, 256, 5120, 2, 62},
-                                {4, 4, 1, 256, 5120, 2, 112},
-                                {4, 5, 1, 256, 5120, 1, 114},
-                                {4, 6, 1, 256, 5120, 2, 84},
-                                {4, 7, 1, 256, 5120, 1, 80},
-                                {4, 8, 1, 256, 5120, 1, 130},
-                                {4, 1, 1, 256, 8192, 2, 112},
-                                {4, 2, 1, 256, 8192, 2, 96},
-                                {4, 3, 1, 256, 8192, 2, 152},
-                                {4, 4, 1, 256, 8192, 2, 160},
-                                {4, 5, 1, 256, 8192, 2, 152},
-                                {4, 6, 1, 256, 8192, 1, 144},
-                                {4, 7, 1, 256, 8192, 2, 128},
-                                {4, 8, 1, 256, 8192, 1, 126},
-                                {4, 1, 1, 256, 12288, 2, 152},
-                                {4, 2, 1, 256, 12288, 2, 160},
-                                {4, 3, 1, 256, 12288, 2, 138},
-                                {4, 4, 1, 256, 12288, 1, 146},
-                                {4, 5, 1, 256, 12288, 2, 156},
-                                {4, 6, 1, 256, 12288, 1, 158},
-                                {4, 7, 1, 256, 12288, 1, 170},
-                                {4, 8, 1, 256, 12288, 1, 144},
-                                {4, 1, 1, 256, 14336, 2, 156},
-                                {4, 2, 1, 256, 14336, 2, 132},
-                                {4, 3, 1, 256, 14336, 2, 160},
-                                {4, 4, 1, 256, 14336, 2, 158},
-                                {4, 5, 1, 256, 14336, 1, 168},
-                                {4, 6, 1, 256, 14336, 1, 168},
-                                {4, 7, 1, 256, 14336, 2, 112},
-                                {4, 8, 1, 256, 14336, 1, 156},
-                                {4, 1, 1, 256, 16384, 2, 154},
-                                {4, 2, 1, 256, 16384, 2, 158},
-                                {4, 3, 1, 256, 16384, 2, 150},
-                                {4, 4, 1, 256, 16384, 1, 170},
-                                {4, 5, 1, 256, 16384, 1, 164},
-                                {4, 6, 1, 256, 16384, 1, 166},
-                                {4, 7, 1, 256, 16384, 1, 170},
-                                {4, 8, 1, 256, 16384, 1, 128},
-                                {4, 1, 1, 256, 24576, 2, 168},
-                                {4, 2, 1, 256, 24576, 2, 168},
-                                {4, 3, 1, 256, 24576, 2, 168},
-                                {4, 4, 1, 256, 24576, 2, 168},
-                                {4, 5, 1, 256, 24576, 2, 144},
-                                {4, 6, 1, 256, 24576, 2, 136},
-                                {4, 7, 1, 256, 24576, 2, 168},
-                                {4, 8, 1, 256, 24576, 1, 164},
-                                {4, 1, 1, 256, 51200, 4, 168},
-                                {4, 2, 1, 256, 51200, 4, 150},
-                                {4, 3, 1, 256, 51200, 2, 156},
-                                {4, 4, 1, 256, 51200, 4, 166},
-                                {4, 5, 1, 256, 51200, 4, 152},
-                                {4, 6, 1, 256, 51200, 2, 160},
-                                {4, 7, 1, 256, 51200, 4, 144},
-                                {4, 8, 1, 256, 51200, 2, 168},
-                                {4, 1, 1, 256, 128000, 4, 170},
-                                {4, 2, 1, 256, 128000, 4, 170},
-                                {4, 3, 1, 256, 128000, 4, 170},
-                                {4, 4, 1, 256, 128000, 4, 170},
-                                {4, 5, 1, 256, 128000, 4, 170},
-                                {4, 6, 1, 256, 128000, 4, 166},
-                                {4, 7, 1, 256, 128000, 4, 148},
-                                {4, 8, 1, 256, 128000, 2, 168},
-                                {4, 1, 1, 512, 512, 2, 12},
-                                {4, 2, 1, 512, 512, 2, 12},
-                                {4, 3, 1, 512, 512, 2, 8},
-                                {4, 4, 1, 512, 512, 2, 12},
-                                {4, 5, 1, 512, 512, 2, 12},
-                                {4, 6, 1, 512, 512, 1, 16},
-                                {4, 7, 1, 512, 512, 2, 14},
-                                {4, 8, 1, 512, 512, 2, 8},
-                                {4, 1, 1, 512, 1024, 1, 24},
-                                {4, 2, 1, 512, 1024, 1, 24},
-                                {4, 3, 1, 512, 1024, 2, 24},
-                                {4, 4, 1, 512, 1024, 2, 24},
-                                {4, 5, 1, 512, 1024, 2, 24},
-                                {4, 6, 1, 512, 1024, 1, 32},
-                                {4, 7, 1, 512, 1024, 2, 42},
-                                {4, 8, 1, 512, 1024, 1, 24},
-                                {4, 1, 1, 512, 2048, 1, 48},
-                                {4, 2, 1, 512, 2048, 2, 32},
-                                {4, 3, 1, 512, 2048, 2, 32},
-                                {4, 4, 1, 512, 2048, 2, 32},
-                                {4, 5, 1, 512, 2048, 2, 32},
-                                {4, 6, 1, 512, 2048, 2, 48},
-                                {4, 7, 1, 512, 2048, 1, 46},
-                                {4, 8, 1, 512, 2048, 2, 48},
-                                {4, 1, 1, 512, 3072, 2, 48},
-                                {4, 2, 1, 512, 3072, 2, 48},
-                                {4, 3, 1, 512, 3072, 2, 48},
-                                {4, 4, 1, 512, 3072, 2, 48},
-                                {4, 5, 1, 512, 3072, 2, 48},
-                                {4, 6, 1, 512, 3072, 2, 48},
-                                {4, 7, 1, 512, 3072, 2, 96},
-                                {4, 8, 1, 512, 3072, 2, 72},
-                                {4, 1, 1, 512, 4096, 2, 64},
-                                {4, 2, 1, 512, 4096, 2, 64},
-                                {4, 3, 1, 512, 4096, 2, 64},
-                                {4, 4, 1, 512, 4096, 2, 64},
-                                {4, 5, 1, 512, 4096, 2, 64},
-                                {4, 6, 1, 512, 4096, 2, 64},
-                                {4, 7, 1, 512, 4096, 1, 126},
-                                {4, 8, 1, 512, 4096, 2, 64},
-                                {4, 1, 1, 512, 5120, 1, 120},
-                                {4, 2, 1, 512, 5120, 1, 120},
-                                {4, 3, 1, 512, 5120, 2, 80},
-                                {4, 4, 1, 512, 5120, 2, 80},
-                                {4, 5, 1, 512, 5120, 2, 80},
-                                {4, 6, 1, 512, 5120, 1, 120},
-                                {4, 7, 1, 512, 5120, 1, 124},
-                                {4, 8, 1, 512, 5120, 1, 120},
-                                {4, 1, 1, 512, 8192, 2, 128},
-                                {4, 2, 1, 512, 8192, 2, 128},
-                                {4, 3, 1, 512, 8192, 2, 128},
-                                {4, 4, 1, 512, 8192, 2, 128},
-                                {4, 5, 1, 512, 8192, 2, 152},
-                                {4, 6, 1, 512, 8192, 1, 128},
-                                {4, 7, 1, 512, 8192, 1, 156},
-                                {4, 8, 1, 512, 8192, 1, 144},
-                                {4, 1, 1, 512, 12288, 2, 170},
-                                {4, 2, 1, 512, 12288, 2, 160},
-                                {4, 3, 1, 512, 12288, 2, 132},
-                                {4, 4, 1, 512, 12288, 2, 152},
-                                {4, 5, 1, 512, 12288, 2, 152},
-                                {4, 6, 1, 512, 12288, 2, 128},
-                                {4, 7, 1, 512, 12288, 2, 156},
-                                {4, 8, 1, 512, 12288, 2, 152},
-                                {4, 1, 1, 512, 14336, 2, 112},
-                                {4, 2, 1, 512, 14336, 1, 152},
-                                {4, 3, 1, 512, 14336, 2, 120},
-                                {4, 4, 1, 512, 14336, 2, 112},
-                                {4, 5, 1, 512, 14336, 2, 156},
-                                {4, 6, 1, 512, 14336, 2, 156},
-                                {4, 7, 1, 512, 14336, 2, 168},
-                                {4, 8, 1, 512, 14336, 1, 170},
-                                {4, 1, 1, 512, 16384, 2, 166},
-                                {4, 2, 1, 512, 16384, 2, 160},
-                                {4, 3, 1, 512, 16384, 1, 156},
-                                {4, 4, 1, 512, 16384, 2, 136},
-                                {4, 5, 1, 512, 16384, 2, 160},
-                                {4, 6, 1, 512, 16384, 2, 156},
-                                {4, 7, 1, 512, 16384, 2, 162},
-                                {4, 8, 1, 512, 16384, 1, 164},
-                                {4, 1, 1, 512, 24576, 3, 166},
-                                {4, 2, 1, 512, 24576, 2, 168},
-                                {4, 3, 1, 512, 24576, 3, 144},
-                                {4, 4, 1, 512, 24576, 2, 168},
-                                {4, 5, 1, 512, 24576, 2, 168},
-                                {4, 6, 1, 512, 24576, 2, 168},
-                                {4, 7, 1, 512, 24576, 2, 168},
-                                {4, 8, 1, 512, 24576, 1, 168},
-                                {4, 1, 1, 512, 51200, 4, 170},
-                                {4, 2, 1, 512, 51200, 4, 170},
-                                {4, 3, 1, 512, 51200, 4, 170},
-                                {4, 4, 1, 512, 51200, 4, 168},
-                                {4, 5, 1, 512, 51200, 4, 168},
-                                {4, 6, 1, 512, 51200, 4, 160},
-                                {4, 7, 1, 512, 51200, 4, 148},
-                                {4, 8, 1, 512, 51200, 1, 168},
-                                {4, 1, 1, 512, 128000, 4, 168},
-                                {4, 2, 1, 512, 128000, 4, 170},
-                                {4, 3, 1, 512, 128000, 4, 170},
-                                {4, 4, 1, 512, 128000, 4, 170},
-                                {4, 5, 1, 512, 128000, 4, 152},
-                                {4, 6, 1, 512, 128000, 4, 164},
-                                {4, 7, 1, 512, 128000, 4, 152},
-                                {4, 8, 1, 512, 128000, 4, 166},
-                                {4, 1, 1, 1024, 512, 1, 16},
-                                {4, 2, 1, 1024, 512, 2, 16},
-                                {4, 3, 1, 1024, 512, 2, 14},
-                                {4, 4, 1, 1024, 512, 2, 12},
-                                {4, 5, 1, 1024, 512, 2, 16},
-                                {4, 6, 1, 1024, 512, 2, 16},
-                                {4, 7, 1, 1024, 512, 2, 16},
-                                {4, 8, 1, 1024, 512, 2, 12},
-                                {4, 1, 1, 1024, 1024, 2, 24},
-                                {4, 2, 1, 1024, 1024, 2, 28},
-                                {4, 3, 1, 1024, 1024, 2, 38},
-                                {4, 4, 1, 1024, 1024, 2, 24},
-                                {4, 5, 1, 1024, 1024, 2, 32},
-                                {4, 6, 1, 1024, 1024, 2, 30},
-                                {4, 7, 1, 1024, 1024, 2, 32},
-                                {4, 8, 1, 1024, 1024, 2, 32},
-                                {4, 1, 1, 1024, 2048, 2, 46},
-                                {4, 2, 1, 1024, 2048, 2, 64},
-                                {4, 3, 1, 1024, 2048, 2, 76},
-                                {4, 4, 1, 1024, 2048, 2, 74},
-                                {4, 5, 1, 1024, 2048, 2, 64},
-                                {4, 6, 1, 1024, 2048, 2, 64},
-                                {4, 7, 1, 1024, 2048, 1, 104},
-                                {4, 8, 1, 1024, 2048, 2, 64},
-                                {4, 1, 1, 1024, 3072, 2, 94},
-                                {4, 2, 1, 1024, 3072, 2, 78},
-                                {4, 3, 1, 1024, 3072, 2, 96},
-                                {4, 4, 1, 1024, 3072, 2, 70},
-                                {4, 5, 1, 1024, 3072, 2, 96},
-                                {4, 6, 1, 1024, 3072, 2, 96},
-                                {4, 7, 1, 1024, 3072, 1, 120},
-                                {4, 8, 1, 1024, 3072, 1, 88},
-                                {4, 1, 1, 1024, 4096, 2, 96},
-                                {4, 2, 1, 1024, 4096, 2, 118},
-                                {4, 3, 1, 1024, 4096, 2, 128},
-                                {4, 4, 1, 1024, 4096, 2, 96},
-                                {4, 5, 1, 1024, 4096, 1, 120},
-                                {4, 6, 1, 1024, 4096, 1, 124},
-                                {4, 7, 1, 1024, 4096, 1, 128},
-                                {4, 8, 1, 1024, 4096, 1, 162},
-                                {4, 1, 1, 1024, 5120, 2, 128},
-                                {4, 2, 1, 1024, 5120, 1, 160},
-                                {4, 3, 1, 1024, 5120, 2, 120},
-                                {4, 4, 1, 1024, 5120, 2, 144},
-                                {4, 5, 1, 1024, 5120, 2, 112},
-                                {4, 6, 1, 1024, 5120, 2, 122},
-                                {4, 7, 1, 1024, 5120, 2, 160},
-                                {4, 8, 1, 1024, 5120, 1, 160},
-                                {4, 1, 1, 1024, 8192, 2, 158},
-                                {4, 2, 1, 1024, 8192, 2, 168},
-                                {4, 3, 1, 1024, 8192, 2, 166},
-                                {4, 4, 1, 1024, 8192, 2, 154},
-                                {4, 5, 1, 1024, 8192, 2, 136},
-                                {4, 6, 1, 1024, 8192, 2, 168},
-                                {4, 7, 1, 1024, 8192, 2, 158},
-                                {4, 8, 1, 1024, 8192, 2, 156},
-                                {4, 1, 1, 1024, 12288, 2, 162},
-                                {4, 2, 1, 1024, 12288, 2, 156},
-                                {4, 3, 1, 1024, 12288, 2, 170},
-                                {4, 4, 1, 1024, 12288, 2, 168},
-                                {4, 5, 1, 1024, 12288, 2, 162},
-                                {4, 6, 1, 1024, 12288, 2, 170},
-                                {4, 7, 1, 1024, 12288, 2, 170},
-                                {4, 8, 1, 1024, 12288, 2, 136},
-                                {4, 1, 1, 1024, 14336, 2, 164},
-                                {4, 2, 1, 1024, 14336, 2, 156},
-                                {4, 3, 1, 1024, 14336, 2, 168},
-                                {4, 4, 1, 1024, 14336, 2, 168},
-                                {4, 5, 1, 1024, 14336, 2, 170},
-                                {4, 6, 1, 1024, 14336, 2, 152},
-                                {4, 7, 1, 1024, 14336, 3, 168},
-                                {4, 8, 1, 1024, 14336, 1, 168},
-                                {4, 1, 1, 1024, 16384, 2, 170},
-                                {4, 2, 1, 1024, 16384, 2, 156},
-                                {4, 3, 1, 1024, 16384, 2, 166},
-                                {4, 4, 1, 1024, 16384, 2, 168},
-                                {4, 5, 1, 1024, 16384, 2, 160},
-                                {4, 6, 1, 1024, 16384, 2, 170},
-                                {4, 7, 1, 1024, 16384, 2, 170},
-                                {4, 8, 1, 1024, 16384, 1, 168},
-                                {4, 1, 1, 1024, 24576, 3, 160},
-                                {4, 2, 1, 1024, 24576, 2, 168},
-                                {4, 3, 1, 1024, 24576, 2, 158},
-                                {4, 4, 1, 1024, 24576, 2, 160},
-                                {4, 5, 1, 1024, 24576, 3, 158},
-                                {4, 6, 1, 1024, 24576, 2, 170},
-                                {4, 7, 1, 1024, 24576, 2, 170},
-                                {4, 8, 1, 1024, 24576, 1, 168},
-                                {4, 1, 1, 1024, 51200, 4, 170},
-                                {4, 2, 1, 1024, 51200, 4, 168},
-                                {4, 3, 1, 1024, 51200, 4, 170},
-                                {4, 4, 1, 1024, 51200, 4, 150},
-                                {4, 5, 1, 1024, 51200, 4, 168},
-                                {4, 6, 1, 1024, 51200, 4, 160},
-                                {4, 7, 1, 1024, 51200, 4, 144},
-                                {4, 8, 1, 1024, 51200, 1, 166},
-                                {4, 1, 1, 1024, 128000, 4, 170},
-                                {4, 2, 1, 1024, 128000, 4, 170},
-                                {4, 3, 1, 1024, 128000, 4, 170},
-                                {4, 4, 1, 1024, 128000, 4, 168},
-                                {4, 5, 1, 1024, 128000, 4, 152},
-                                {4, 6, 1, 1024, 128000, 4, 164},
-                                {4, 7, 1, 1024, 128000, 4, 170},
-                                {4, 8, 1, 1024, 128000, 4, 140},
-                                {4, 1, 1, 2048, 512, 2, 16},
-                                {4, 2, 1, 2048, 512, 1, 24},
-                                {4, 3, 1, 2048, 512, 2, 26},
-                                {4, 4, 1, 2048, 512, 1, 26},
-                                {4, 5, 1, 2048, 512, 2, 24},
-                                {4, 6, 1, 2048, 512, 2, 24},
-                                {4, 7, 1, 2048, 512, 2, 24},
-                                {4, 8, 1, 2048, 512, 2, 24},
-                                {4, 1, 1, 2048, 1024, 2, 30},
-                                {4, 2, 1, 2048, 1024, 2, 36},
-                                {4, 3, 1, 2048, 1024, 2, 48},
-                                {4, 4, 1, 2048, 1024, 2, 54},
-                                {4, 5, 1, 2048, 1024, 2, 40},
-                                {4, 6, 1, 2048, 1024, 2, 48},
-                                {4, 7, 1, 2048, 1024, 2, 48},
-                                {4, 8, 1, 2048, 1024, 2, 48},
-                                {4, 1, 1, 2048, 2048, 2, 76},
-                                {4, 2, 1, 2048, 2048, 2, 96},
-                                {4, 3, 1, 2048, 2048, 2, 74},
-                                {4, 4, 1, 2048, 2048, 2, 62},
-                                {4, 5, 1, 2048, 2048, 2, 76},
-                                {4, 6, 1, 2048, 2048, 1, 80},
-                                {4, 7, 1, 2048, 2048, 2, 80},
-                                {4, 8, 1, 2048, 2048, 2, 72},
-                                {4, 1, 1, 2048, 3072, 2, 114},
-                                {4, 2, 1, 2048, 3072, 2, 140},
-                                {4, 3, 1, 2048, 3072, 2, 120},
-                                {4, 4, 1, 2048, 3072, 2, 112},
-                                {4, 5, 1, 2048, 3072, 1, 144},
-                                {4, 6, 1, 2048, 3072, 2, 136},
-                                {4, 7, 1, 2048, 3072, 2, 112},
-                                {4, 8, 1, 2048, 3072, 2, 104},
-                                {4, 1, 1, 2048, 4096, 2, 124},
-                                {4, 2, 1, 2048, 4096, 2, 158},
-                                {4, 3, 1, 2048, 4096, 2, 120},
-                                {4, 4, 1, 2048, 4096, 1, 160},
-                                {4, 5, 1, 2048, 4096, 2, 160},
-                                {4, 6, 1, 2048, 4096, 2, 148},
-                                {4, 7, 1, 2048, 4096, 2, 126},
-                                {4, 8, 1, 2048, 4096, 1, 160},
-                                {4, 1, 1, 2048, 5120, 2, 160},
-                                {4, 2, 1, 2048, 5120, 2, 160},
-                                {4, 3, 1, 2048, 5120, 2, 158},
-                                {4, 4, 1, 2048, 5120, 2, 152},
-                                {4, 5, 1, 2048, 5120, 2, 160},
-                                {4, 6, 1, 2048, 5120, 2, 160},
-                                {4, 7, 1, 2048, 5120, 2, 160},
-                                {4, 8, 1, 2048, 5120, 1, 160},
-                                {4, 1, 1, 2048, 8192, 2, 160},
-                                {4, 2, 1, 2048, 8192, 2, 170},
-                                {4, 3, 1, 2048, 8192, 2, 170},
-                                {4, 4, 1, 2048, 8192, 2, 170},
-                                {4, 5, 1, 2048, 8192, 2, 168},
-                                {4, 6, 1, 2048, 8192, 2, 170},
-                                {4, 7, 1, 2048, 8192, 2, 170},
-                                {4, 8, 1, 2048, 8192, 1, 160},
-                                {4, 1, 1, 2048, 12288, 2, 168},
-                                {4, 2, 1, 2048, 12288, 2, 170},
-                                {4, 3, 1, 2048, 12288, 2, 168},
-                                {4, 4, 1, 2048, 12288, 2, 164},
-                                {4, 5, 1, 2048, 12288, 2, 170},
-                                {4, 6, 1, 2048, 12288, 2, 164},
-                                {4, 7, 1, 2048, 12288, 3, 144},
-                                {4, 8, 1, 2048, 12288, 1, 162},
-                                {4, 1, 1, 2048, 14336, 3, 168},
-                                {4, 2, 1, 2048, 14336, 2, 170},
-                                {4, 3, 1, 2048, 14336, 2, 168},
-                                {4, 4, 1, 2048, 14336, 2, 168},
-                                {4, 5, 1, 2048, 14336, 3, 164},
-                                {4, 6, 1, 2048, 14336, 2, 168},
-                                {4, 7, 1, 2048, 14336, 2, 164},
-                                {4, 8, 1, 2048, 14336, 1, 168},
-                                {4, 1, 1, 2048, 16384, 2, 166},
-                                {4, 2, 1, 2048, 16384, 2, 170},
-                                {4, 3, 1, 2048, 16384, 2, 168},
-                                {4, 4, 1, 2048, 16384, 2, 168},
-                                {4, 5, 1, 2048, 16384, 3, 160},
-                                {4, 6, 1, 2048, 16384, 2, 170},
-                                {4, 7, 1, 2048, 16384, 3, 128},
-                                {4, 8, 1, 2048, 16384, 1, 168},
-                                {4, 1, 1, 2048, 24576, 3, 168},
-                                {4, 2, 1, 2048, 24576, 4, 170},
-                                {4, 3, 1, 2048, 24576, 3, 170},
-                                {4, 4, 1, 2048, 24576, 4, 144},
-                                {4, 5, 1, 2048, 24576, 4, 144},
-                                {4, 6, 1, 2048, 24576, 4, 144},
-                                {4, 7, 1, 2048, 24576, 4, 144},
-                                {4, 8, 1, 2048, 24576, 1, 168},
-                                {4, 1, 1, 2048, 51200, 4, 170},
-                                {4, 2, 1, 2048, 51200, 4, 170},
-                                {4, 3, 1, 2048, 51200, 4, 170},
-                                {4, 4, 1, 2048, 51200, 4, 166},
-                                {4, 5, 1, 2048, 51200, 4, 168},
-                                {4, 6, 1, 2048, 51200, 4, 160},
-                                {4, 7, 1, 2048, 51200, 4, 168},
-                                {4, 8, 1, 2048, 51200, 2, 150},
-                                {4, 1, 1, 2048, 128000, 4, 170},
-                                {4, 2, 1, 2048, 128000, 4, 170},
-                                {4, 3, 1, 2048, 128000, 4, 168},
-                                {4, 4, 1, 2048, 128000, 4, 162},
-                                {4, 5, 1, 2048, 128000, 4, 166},
-                                {4, 6, 1, 2048, 128000, 4, 164},
-                                {4, 7, 1, 2048, 128000, 4, 168},
-                                {4, 8, 1, 2048, 128000, 4, 156},
-                                {4, 1, 1, 3072, 512, 1, 24},
-                                {4, 2, 1, 3072, 512, 2, 24},
-                                {4, 3, 1, 3072, 512, 2, 24},
-                                {4, 4, 1, 3072, 512, 2, 24},
-                                {4, 5, 1, 3072, 512, 2, 28},
-                                {4, 6, 1, 3072, 512, 2, 24},
-                                {4, 7, 1, 3072, 512, 2, 38},
-                                {4, 8, 1, 3072, 512, 2, 24},
-                                {4, 1, 1, 3072, 1024, 2, 68},
-                                {4, 2, 1, 3072, 1024, 1, 56},
-                                {4, 3, 1, 3072, 1024, 1, 56},
-                                {4, 4, 1, 3072, 1024, 2, 66},
-                                {4, 5, 1, 3072, 1024, 2, 48},
-                                {4, 6, 1, 3072, 1024, 2, 56},
-                                {4, 7, 1, 3072, 1024, 2, 64},
-                                {4, 8, 1, 3072, 1024, 2, 56},
-                                {4, 1, 1, 3072, 2048, 2, 86},
-                                {4, 2, 1, 3072, 2048, 2, 96},
-                                {4, 3, 1, 3072, 2048, 2, 90},
-                                {4, 4, 1, 3072, 2048, 2, 128},
-                                {4, 5, 1, 3072, 2048, 2, 124},
-                                {4, 6, 1, 3072, 2048, 2, 98},
-                                {4, 7, 1, 3072, 2048, 2, 112},
-                                {4, 8, 1, 3072, 2048, 1, 126},
-                                {4, 1, 1, 3072, 3072, 1, 162},
-                                {4, 2, 1, 3072, 3072, 2, 96},
-                                {4, 3, 1, 3072, 3072, 2, 112},
-                                {4, 4, 1, 3072, 3072, 2, 136},
-                                {4, 5, 1, 3072, 3072, 1, 136},
-                                {4, 6, 1, 3072, 3072, 1, 156},
-                                {4, 7, 1, 3072, 3072, 1, 158},
-                                {4, 8, 1, 3072, 3072, 1, 156},
-                                {4, 1, 1, 3072, 4096, 2, 136},
-                                {4, 2, 1, 3072, 4096, 2, 160},
-                                {4, 3, 1, 3072, 4096, 2, 160},
-                                {4, 4, 1, 3072, 4096, 2, 152},
-                                {4, 5, 1, 3072, 4096, 2, 160},
-                                {4, 6, 1, 3072, 4096, 2, 160},
-                                {4, 7, 1, 3072, 4096, 2, 160},
-                                {4, 8, 1, 3072, 4096, 1, 160},
-                                {4, 1, 1, 3072, 5120, 2, 160},
-                                {4, 2, 1, 3072, 5120, 2, 152},
-                                {4, 3, 1, 3072, 5120, 2, 152},
-                                {4, 4, 1, 3072, 5120, 2, 160},
-                                {4, 5, 1, 3072, 5120, 2, 160},
-                                {4, 6, 1, 3072, 5120, 2, 160},
-                                {4, 7, 1, 3072, 5120, 2, 162},
-                                {4, 8, 1, 3072, 5120, 1, 160},
-                                {4, 1, 1, 3072, 8192, 2, 164},
-                                {4, 2, 1, 3072, 8192, 2, 158},
-                                {4, 3, 1, 3072, 8192, 2, 164},
-                                {4, 4, 1, 3072, 8192, 2, 164},
-                                {4, 5, 1, 3072, 8192, 2, 170},
-                                {4, 6, 1, 3072, 8192, 2, 160},
-                                {4, 7, 1, 3072, 8192, 2, 166},
-                                {4, 8, 1, 3072, 8192, 1, 160},
-                                {4, 1, 1, 3072, 12288, 2, 170},
-                                {4, 2, 1, 3072, 12288, 2, 168},
-                                {4, 3, 1, 3072, 12288, 2, 168},
-                                {4, 4, 1, 3072, 12288, 2, 168},
-                                {4, 5, 1, 3072, 12288, 2, 168},
-                                {4, 6, 1, 3072, 12288, 3, 144},
-                                {4, 7, 1, 3072, 12288, 3, 144},
-                                {4, 8, 1, 3072, 12288, 1, 168},
-                                {4, 1, 1, 3072, 14336, 3, 168},
-                                {4, 2, 1, 3072, 14336, 2, 170},
-                                {4, 3, 1, 3072, 14336, 2, 170},
-                                {4, 4, 1, 3072, 14336, 2, 168},
-                                {4, 5, 1, 3072, 14336, 3, 168},
-                                {4, 6, 1, 3072, 14336, 2, 168},
-                                {4, 7, 1, 3072, 14336, 3, 168},
-                                {4, 8, 1, 3072, 14336, 1, 168},
-                                {4, 1, 1, 3072, 16384, 3, 168},
-                                {4, 2, 1, 3072, 16384, 2, 164},
-                                {4, 3, 1, 3072, 16384, 3, 170},
-                                {4, 4, 1, 3072, 16384, 2, 170},
-                                {4, 5, 1, 3072, 16384, 3, 162},
-                                {4, 6, 1, 3072, 16384, 3, 128},
-                                {4, 7, 1, 3072, 16384, 3, 128},
-                                {4, 8, 1, 3072, 16384, 1, 164},
-                                {4, 1, 1, 3072, 24576, 3, 170},
-                                {4, 2, 1, 3072, 24576, 4, 168},
-                                {4, 3, 1, 3072, 24576, 3, 170},
-                                {4, 4, 1, 3072, 24576, 4, 168},
-                                {4, 5, 1, 3072, 24576, 4, 144},
-                                {4, 6, 1, 3072, 24576, 4, 144},
-                                {4, 7, 1, 3072, 24576, 4, 144},
-                                {4, 8, 1, 3072, 24576, 1, 168},
-                                {4, 1, 1, 3072, 51200, 4, 170},
-                                {4, 2, 1, 3072, 51200, 4, 170},
-                                {4, 3, 1, 3072, 51200, 4, 170},
-                                {4, 4, 1, 3072, 51200, 4, 166},
-                                {4, 5, 1, 3072, 51200, 4, 168},
-                                {4, 6, 1, 3072, 51200, 4, 160},
-                                {4, 7, 1, 3072, 51200, 4, 168},
-                                {4, 8, 1, 3072, 51200, 4, 150},
-                                {4, 1, 1, 3072, 128000, 4, 170},
-                                {4, 2, 1, 3072, 128000, 4, 170},
-                                {4, 3, 1, 3072, 128000, 4, 170},
-                                {4, 4, 1, 3072, 128000, 4, 168},
-                                {4, 5, 1, 3072, 128000, 4, 160},
-                                {4, 6, 1, 3072, 128000, 4, 164},
-                                {4, 7, 1, 3072, 128000, 4, 162},
-                                {4, 8, 1, 3072, 128000, 3, 170},
-                                {4, 1, 1, 4096, 512, 2, 32},
-                                {4, 2, 1, 4096, 512, 2, 32},
-                                {4, 3, 1, 4096, 512, 2, 32},
-                                {4, 4, 1, 4096, 512, 2, 32},
-                                {4, 5, 1, 4096, 512, 2, 26},
-                                {4, 6, 1, 4096, 512, 2, 38},
-                                {4, 7, 1, 4096, 512, 2, 32},
-                                {4, 8, 1, 4096, 512, 2, 32},
-                                {4, 1, 1, 4096, 1024, 2, 56},
-                                {4, 2, 1, 4096, 1024, 2, 64},
-                                {4, 3, 1, 4096, 1024, 2, 64},
-                                {4, 4, 1, 4096, 1024, 2, 64},
-                                {4, 5, 1, 4096, 1024, 2, 48},
-                                {4, 6, 1, 4096, 1024, 2, 64},
-                                {4, 7, 1, 4096, 1024, 2, 62},
-                                {4, 8, 1, 4096, 1024, 2, 48},
-                                {4, 1, 1, 4096, 2048, 2, 128},
-                                {4, 2, 1, 4096, 2048, 2, 108},
-                                {4, 3, 1, 4096, 2048, 2, 108},
-                                {4, 4, 1, 4096, 2048, 2, 120},
-                                {4, 5, 1, 4096, 2048, 2, 128},
-                                {4, 6, 1, 4096, 2048, 2, 108},
-                                {4, 7, 1, 4096, 2048, 2, 128},
-                                {4, 8, 1, 4096, 2048, 2, 104},
-                                {4, 1, 1, 4096, 3072, 2, 160},
-                                {4, 2, 1, 4096, 3072, 2, 140},
-                                {4, 3, 1, 4096, 3072, 2, 162},
-                                {4, 4, 1, 4096, 3072, 2, 136},
-                                {4, 5, 1, 4096, 3072, 2, 170},
-                                {4, 6, 1, 4096, 3072, 2, 156},
-                                {4, 7, 1, 4096, 3072, 2, 168},
-                                {4, 8, 1, 4096, 3072, 2, 120},
-                                {4, 1, 1, 4096, 4096, 2, 128},
-                                {4, 2, 1, 4096, 4096, 2, 152},
-                                {4, 3, 1, 4096, 4096, 2, 156},
-                                {4, 4, 1, 4096, 4096, 2, 160},
-                                {4, 5, 1, 4096, 4096, 2, 154},
-                                {4, 6, 1, 4096, 4096, 2, 160},
-                                {4, 7, 1, 4096, 4096, 2, 160},
-                                {4, 8, 1, 4096, 4096, 2, 126},
-                                {4, 1, 1, 4096, 5120, 2, 160},
-                                {4, 2, 1, 4096, 5120, 2, 160},
-                                {4, 3, 1, 4096, 5120, 2, 158},
-                                {4, 4, 1, 4096, 5120, 2, 162},
-                                {4, 5, 1, 4096, 5120, 2, 160},
-                                {4, 6, 1, 4096, 5120, 2, 158},
-                                {4, 7, 1, 4096, 5120, 2, 160},
-                                {4, 8, 1, 4096, 5120, 1, 160},
-                                {4, 1, 1, 4096, 8192, 2, 168},
-                                {4, 2, 1, 4096, 8192, 2, 170},
-                                {4, 3, 1, 4096, 8192, 2, 170},
-                                {4, 4, 1, 4096, 8192, 2, 164},
-                                {4, 5, 1, 4096, 8192, 2, 168},
-                                {4, 6, 1, 4096, 8192, 2, 170},
-                                {4, 7, 1, 4096, 8192, 3, 128},
-                                {4, 8, 1, 4096, 8192, 1, 160},
-                                {4, 1, 1, 4096, 12288, 3, 170},
-                                {4, 2, 1, 4096, 12288, 2, 170},
-                                {4, 3, 1, 4096, 12288, 3, 170},
-                                {4, 4, 1, 4096, 12288, 2, 168},
-                                {4, 5, 1, 4096, 12288, 3, 170},
-                                {4, 6, 1, 4096, 12288, 3, 144},
-                                {4, 7, 1, 4096, 12288, 3, 144},
-                                {4, 8, 1, 4096, 12288, 1, 162},
-                                {4, 1, 1, 4096, 14336, 3, 168},
-                                {4, 2, 1, 4096, 14336, 2, 170},
-                                {4, 3, 1, 4096, 14336, 3, 168},
-                                {4, 4, 1, 4096, 14336, 2, 168},
-                                {4, 5, 1, 4096, 14336, 3, 168},
-                                {4, 6, 1, 4096, 14336, 2, 168},
-                                {4, 7, 1, 4096, 14336, 3, 168},
-                                {4, 8, 1, 4096, 14336, 1, 168},
-                                {4, 1, 1, 4096, 16384, 3, 170},
-                                {4, 2, 1, 4096, 16384, 2, 166},
-                                {4, 3, 1, 4096, 16384, 3, 170},
-                                {4, 4, 1, 4096, 16384, 4, 160},
-                                {4, 5, 1, 4096, 16384, 3, 168},
-                                {4, 6, 1, 4096, 16384, 3, 128},
-                                {4, 7, 1, 4096, 16384, 3, 128},
-                                {4, 8, 1, 4096, 16384, 1, 168},
-                                {4, 1, 1, 4096, 24576, 3, 170},
-                                {4, 2, 1, 4096, 24576, 4, 170},
-                                {4, 3, 1, 4096, 24576, 3, 170},
-                                {4, 4, 1, 4096, 24576, 4, 168},
-                                {4, 5, 1, 4096, 24576, 4, 144},
-                                {4, 6, 1, 4096, 24576, 4, 144},
-                                {4, 7, 1, 4096, 24576, 4, 144},
-                                {4, 8, 1, 4096, 24576, 1, 168},
-                                {4, 1, 1, 4096, 51200, 4, 170},
-                                {4, 2, 1, 4096, 51200, 4, 170},
-                                {4, 3, 1, 4096, 51200, 4, 170},
-                                {4, 4, 1, 4096, 51200, 4, 166},
-                                {4, 5, 1, 4096, 51200, 4, 168},
-                                {4, 6, 1, 4096, 51200, 4, 120},
-                                {4, 7, 1, 4096, 51200, 4, 166},
-                                {4, 8, 1, 4096, 51200, 4, 156},
-                                {4, 1, 1, 4096, 128000, 3, 170},
-                                {4, 2, 1, 4096, 128000, 4, 170},
-                                {4, 3, 1, 4096, 128000, 4, 170},
-                                {4, 4, 1, 4096, 128000, 4, 162},
-                                {4, 5, 1, 4096, 128000, 4, 160},
-                                {4, 6, 1, 4096, 128000, 3, 166},
-                                {4, 7, 1, 4096, 128000, 4, 166},
-                                {4, 8, 1, 4096, 128000, 4, 156},
-                                {4, 1, 1, 5120, 512, 2, 30},
-                                {4, 2, 1, 5120, 512, 2, 34},
-                                {4, 3, 1, 5120, 512, 2, 40},
-                                {4, 4, 1, 5120, 512, 2, 34},
-                                {4, 5, 1, 5120, 512, 2, 32},
-                                {4, 6, 1, 5120, 512, 2, 32},
-                                {4, 7, 1, 5120, 512, 2, 40},
-                                {4, 8, 1, 5120, 512, 2, 36},
-                                {4, 1, 1, 5120, 1024, 2, 48},
-                                {4, 2, 1, 5120, 1024, 2, 88},
-                                {4, 3, 1, 5120, 1024, 2, 72},
-                                {4, 4, 1, 5120, 1024, 2, 72},
-                                {4, 5, 1, 5120, 1024, 2, 76},
-                                {4, 6, 1, 5120, 1024, 2, 56},
-                                {4, 7, 1, 5120, 1024, 2, 72},
-                                {4, 8, 1, 5120, 1024, 2, 56},
-                                {4, 1, 1, 5120, 2048, 2, 138},
-                                {4, 2, 1, 5120, 2048, 2, 112},
-                                {4, 3, 1, 5120, 2048, 2, 128},
-                                {4, 4, 1, 5120, 2048, 2, 104},
-                                {4, 5, 1, 5120, 2048, 2, 112},
-                                {4, 6, 1, 5120, 2048, 2, 120},
-                                {4, 7, 1, 5120, 2048, 2, 142},
-                                {4, 8, 1, 5120, 2048, 2, 112},
-                                {4, 1, 1, 5120, 3072, 2, 168},
-                                {4, 2, 1, 5120, 3072, 2, 168},
-                                {4, 3, 1, 5120, 3072, 2, 168},
-                                {4, 4, 1, 5120, 3072, 2, 168},
-                                {4, 5, 1, 5120, 3072, 2, 168},
-                                {4, 6, 1, 5120, 3072, 2, 168},
-                                {4, 7, 1, 5120, 3072, 2, 168},
-                                {4, 8, 1, 5120, 3072, 1, 168},
-                                {4, 1, 1, 5120, 4096, 2, 162},
-                                {4, 2, 1, 5120, 4096, 2, 160},
-                                {4, 3, 1, 5120, 4096, 2, 166},
-                                {4, 4, 1, 5120, 4096, 2, 168},
-                                {4, 5, 1, 5120, 4096, 2, 156},
-                                {4, 6, 1, 5120, 4096, 2, 160},
-                                {4, 7, 1, 5120, 4096, 2, 160},
-                                {4, 8, 1, 5120, 4096, 1, 160},
-                                {4, 1, 1, 5120, 5120, 2, 160},
-                                {4, 2, 1, 5120, 5120, 2, 160},
-                                {4, 3, 1, 5120, 5120, 2, 146},
-                                {4, 4, 1, 5120, 5120, 2, 152},
-                                {4, 5, 1, 5120, 5120, 2, 160},
-                                {4, 6, 1, 5120, 5120, 2, 160},
-                                {4, 7, 1, 5120, 5120, 2, 160},
-                                {4, 8, 1, 5120, 5120, 1, 160},
-                                {4, 1, 1, 5120, 8192, 2, 170},
-                                {4, 2, 1, 5120, 8192, 2, 168},
-                                {4, 3, 1, 5120, 8192, 2, 168},
-                                {4, 4, 1, 5120, 8192, 2, 164},
-                                {4, 5, 1, 5120, 8192, 3, 160},
-                                {4, 6, 1, 5120, 8192, 2, 160},
-                                {4, 7, 1, 5120, 8192, 3, 160},
-                                {4, 8, 1, 5120, 8192, 1, 160},
-                                {4, 1, 1, 5120, 12288, 3, 168},
-                                {4, 2, 1, 5120, 12288, 2, 170},
-                                {4, 3, 1, 5120, 12288, 3, 168},
-                                {4, 4, 1, 5120, 12288, 2, 168},
-                                {4, 5, 1, 5120, 12288, 3, 158},
-                                {4, 6, 1, 5120, 12288, 3, 144},
-                                {4, 7, 1, 5120, 12288, 3, 144},
-                                {4, 8, 1, 5120, 12288, 1, 168},
-                                {4, 1, 1, 5120, 14336, 3, 168},
-                                {4, 2, 1, 5120, 14336, 4, 170},
-                                {4, 3, 1, 5120, 14336, 3, 170},
-                                {4, 4, 1, 5120, 14336, 4, 168},
-                                {4, 5, 1, 5120, 14336, 3, 166},
-                                {4, 6, 1, 5120, 14336, 3, 168},
-                                {4, 7, 1, 5120, 14336, 3, 168},
-                                {4, 8, 1, 5120, 14336, 1, 168},
-                                {4, 1, 1, 5120, 16384, 3, 170},
-                                {4, 2, 1, 5120, 16384, 4, 168},
-                                {4, 3, 1, 5120, 16384, 3, 170},
-                                {4, 4, 1, 5120, 16384, 4, 160},
-                                {4, 5, 1, 5120, 16384, 4, 160},
-                                {4, 6, 1, 5120, 16384, 3, 128},
-                                {4, 7, 1, 5120, 16384, 4, 128},
-                                {4, 8, 1, 5120, 16384, 1, 168},
-                                {4, 1, 1, 5120, 24576, 3, 168},
-                                {4, 2, 1, 5120, 24576, 4, 170},
-                                {4, 3, 1, 5120, 24576, 3, 168},
-                                {4, 4, 1, 5120, 24576, 4, 162},
-                                {4, 5, 1, 5120, 24576, 4, 144},
-                                {4, 6, 1, 5120, 24576, 4, 144},
-                                {4, 7, 1, 5120, 24576, 4, 144},
-                                {4, 8, 1, 5120, 24576, 1, 168},
-                                {4, 1, 1, 5120, 51200, 4, 170},
-                                {4, 2, 1, 5120, 51200, 4, 170},
-                                {4, 3, 1, 5120, 51200, 4, 170},
-                                {4, 4, 1, 5120, 51200, 4, 162},
-                                {4, 5, 1, 5120, 51200, 4, 168},
-                                {4, 6, 1, 5120, 51200, 4, 160},
-                                {4, 7, 1, 5120, 51200, 4, 166},
-                                {4, 8, 1, 5120, 51200, 4, 168},
-                                {4, 1, 1, 5120, 128000, 4, 170},
-                                {4, 2, 1, 5120, 128000, 4, 170},
-                                {4, 3, 1, 5120, 128000, 3, 168},
-                                {4, 4, 1, 5120, 128000, 4, 162},
-                                {4, 5, 1, 5120, 128000, 4, 154},
-                                {4, 6, 1, 5120, 128000, 4, 150},
-                                {4, 7, 1, 5120, 128000, 3, 166},
-                                {4, 8, 1, 5120, 128000, 4, 156},
-                                {4, 1, 1, 8192, 512, 2, 32},
-                                {4, 2, 1, 8192, 512, 2, 36},
-                                {4, 3, 1, 8192, 512, 2, 40},
-                                {4, 4, 1, 8192, 512, 2, 38},
-                                {4, 5, 1, 8192, 512, 2, 40},
-                                {4, 6, 1, 8192, 512, 2, 44},
-                                {4, 7, 1, 8192, 512, 2, 48},
-                                {4, 8, 1, 8192, 512, 2, 32},
-                                {4, 1, 1, 8192, 1024, 2, 64},
-                                {4, 2, 1, 8192, 1024, 2, 72},
-                                {4, 3, 1, 8192, 1024, 2, 80},
-                                {4, 4, 1, 8192, 1024, 2, 64},
-                                {4, 5, 1, 8192, 1024, 2, 88},
-                                {4, 6, 1, 8192, 1024, 2, 72},
-                                {4, 7, 1, 8192, 1024, 2, 80},
-                                {4, 8, 1, 8192, 1024, 2, 80},
-                                {4, 1, 1, 8192, 2048, 2, 144},
-                                {4, 2, 1, 8192, 2048, 2, 152},
-                                {4, 3, 1, 8192, 2048, 2, 156},
-                                {4, 4, 1, 8192, 2048, 2, 112},
-                                {4, 5, 1, 8192, 2048, 2, 152},
-                                {4, 6, 1, 8192, 2048, 2, 160},
-                                {4, 7, 1, 8192, 2048, 2, 156},
-                                {4, 8, 1, 8192, 2048, 2, 128},
-                                {4, 1, 1, 8192, 3072, 2, 156},
-                                {4, 2, 1, 8192, 3072, 2, 168},
-                                {4, 3, 1, 8192, 3072, 2, 168},
-                                {4, 4, 1, 8192, 3072, 2, 168},
-                                {4, 5, 1, 8192, 3072, 2, 168},
-                                {4, 6, 1, 8192, 3072, 2, 168},
-                                {4, 7, 1, 8192, 3072, 2, 168},
-                                {4, 8, 1, 8192, 3072, 1, 164},
-                                {4, 1, 1, 8192, 4096, 2, 156},
-                                {4, 2, 1, 8192, 4096, 2, 170},
-                                {4, 3, 1, 8192, 4096, 2, 170},
-                                {4, 4, 1, 8192, 4096, 2, 160},
-                                {4, 5, 1, 8192, 4096, 2, 162},
-                                {4, 6, 1, 8192, 4096, 2, 160},
-                                {4, 7, 1, 8192, 4096, 2, 160},
-                                {4, 8, 1, 8192, 4096, 1, 160},
-                                {4, 1, 1, 8192, 5120, 2, 168},
-                                {4, 2, 1, 8192, 5120, 2, 166},
-                                {4, 3, 1, 8192, 5120, 2, 168},
-                                {4, 4, 1, 8192, 5120, 2, 160},
-                                {4, 5, 1, 8192, 5120, 2, 166},
-                                {4, 6, 1, 8192, 5120, 2, 160},
-                                {4, 7, 1, 8192, 5120, 2, 160},
-                                {4, 8, 1, 8192, 5120, 1, 160},
-                                {4, 1, 1, 8192, 8192, 3, 170},
-                                {4, 2, 1, 8192, 8192, 2, 170},
-                                {4, 3, 1, 8192, 8192, 2, 170},
-                                {4, 4, 1, 8192, 8192, 2, 170},
-                                {4, 5, 1, 8192, 8192, 3, 160},
-                                {4, 6, 1, 8192, 8192, 2, 170},
-                                {4, 7, 1, 8192, 8192, 3, 128},
-                                {4, 8, 1, 8192, 8192, 2, 128},
-                                {4, 1, 1, 8192, 12288, 3, 170},
-                                {4, 2, 1, 8192, 12288, 2, 170},
-                                {4, 3, 1, 8192, 12288, 3, 170},
-                                {4, 4, 1, 8192, 12288, 4, 168},
-                                {4, 5, 1, 8192, 12288, 3, 168},
-                                {4, 6, 1, 8192, 12288, 3, 144},
-                                {4, 7, 1, 8192, 12288, 3, 144},
-                                {4, 8, 1, 8192, 12288, 2, 144},
-                                {4, 1, 1, 8192, 14336, 3, 168},
-                                {4, 2, 1, 8192, 14336, 4, 168},
-                                {4, 3, 1, 8192, 14336, 3, 170},
-                                {4, 4, 1, 8192, 14336, 4, 168},
-                                {4, 5, 1, 8192, 14336, 3, 168},
-                                {4, 6, 1, 8192, 14336, 3, 168},
-                                {4, 7, 1, 8192, 14336, 3, 168},
-                                {4, 8, 1, 8192, 14336, 1, 168},
-                                {4, 1, 1, 8192, 16384, 3, 170},
-                                {4, 2, 1, 8192, 16384, 4, 170},
-                                {4, 3, 1, 8192, 16384, 3, 170},
-                                {4, 4, 1, 8192, 16384, 4, 160},
-                                {4, 5, 1, 8192, 16384, 4, 160},
-                                {4, 6, 1, 8192, 16384, 4, 128},
-                                {4, 7, 1, 8192, 16384, 4, 128},
-                                {4, 8, 1, 8192, 16384, 1, 168},
-                                {4, 1, 1, 8192, 24576, 3, 170},
-                                {4, 2, 1, 8192, 24576, 4, 170},
-                                {4, 3, 1, 8192, 24576, 3, 170},
-                                {4, 4, 1, 8192, 24576, 4, 162},
-                                {4, 5, 1, 8192, 24576, 4, 144},
-                                {4, 6, 1, 8192, 24576, 4, 144},
-                                {4, 7, 1, 8192, 24576, 4, 144},
-                                {4, 8, 1, 8192, 24576, 1, 168},
-                                {4, 1, 1, 8192, 51200, 4, 170},
-                                {4, 2, 1, 8192, 51200, 4, 170},
-                                {4, 3, 1, 8192, 51200, 4, 170},
-                                {4, 4, 1, 8192, 51200, 4, 168},
-                                {4, 5, 1, 8192, 51200, 4, 160},
-                                {4, 6, 1, 8192, 51200, 4, 160},
-                                {4, 7, 1, 8192, 51200, 4, 156},
-                                {4, 8, 1, 8192, 51200, 4, 150},
-                                {4, 1, 1, 8192, 128000, 3, 170},
-                                {4, 2, 1, 8192, 128000, 4, 170},
-                                {4, 3, 1, 8192, 128000, 3, 170},
-                                {4, 4, 1, 8192, 128000, 4, 170},
-                                {4, 5, 1, 8192, 128000, 4, 164},
-                                {4, 6, 1, 8192, 128000, 4, 164},
-                                {4, 7, 1, 8192, 128000, 4, 170},
-                                {4, 8, 1, 8192, 128000, 4, 164},
-                                {4, 1, 1, 12288, 512, 2, 48},
-                                {4, 2, 1, 12288, 512, 2, 48},
-                                {4, 3, 1, 12288, 512, 2, 44},
-                                {4, 4, 1, 12288, 512, 2, 48},
-                                {4, 5, 1, 12288, 512, 2, 42},
-                                {4, 6, 1, 12288, 512, 2, 48},
-                                {4, 7, 1, 12288, 512, 2, 56},
-                                {4, 8, 1, 12288, 512, 2, 48},
-                                {4, 1, 1, 12288, 1024, 2, 88},
-                                {4, 2, 1, 12288, 1024, 2, 94},
-                                {4, 3, 1, 12288, 1024, 2, 88},
-                                {4, 4, 1, 12288, 1024, 2, 100},
-                                {4, 5, 1, 12288, 1024, 2, 112},
-                                {4, 6, 1, 12288, 1024, 2, 110},
-                                {4, 7, 1, 12288, 1024, 2, 120},
-                                {4, 8, 1, 12288, 1024, 2, 98},
-                                {4, 1, 1, 12288, 2048, 2, 156},
-                                {4, 2, 1, 12288, 2048, 2, 152},
-                                {4, 3, 1, 12288, 2048, 2, 162},
-                                {4, 4, 1, 12288, 2048, 2, 160},
-                                {4, 5, 1, 12288, 2048, 2, 160},
-                                {4, 6, 1, 12288, 2048, 2, 168},
-                                {4, 7, 1, 12288, 2048, 2, 160},
-                                {4, 8, 1, 12288, 2048, 2, 128},
-                                {4, 1, 1, 12288, 3072, 2, 168},
-                                {4, 2, 1, 12288, 3072, 2, 168},
-                                {4, 3, 1, 12288, 3072, 2, 168},
-                                {4, 4, 1, 12288, 3072, 2, 168},
-                                {4, 5, 1, 12288, 3072, 2, 168},
-                                {4, 6, 1, 12288, 3072, 2, 168},
-                                {4, 7, 1, 12288, 3072, 2, 168},
-                                {4, 8, 1, 12288, 3072, 1, 168},
-                                {4, 1, 1, 12288, 4096, 2, 170},
-                                {4, 2, 1, 12288, 4096, 2, 168},
-                                {4, 3, 1, 12288, 4096, 2, 170},
-                                {4, 4, 1, 12288, 4096, 2, 160},
-                                {4, 5, 1, 12288, 4096, 2, 168},
-                                {4, 6, 1, 12288, 4096, 2, 160},
-                                {4, 7, 1, 12288, 4096, 2, 166},
-                                {4, 8, 1, 12288, 4096, 1, 160},
-                                {4, 1, 1, 12288, 5120, 3, 164},
-                                {4, 2, 1, 12288, 5120, 2, 164},
-                                {4, 3, 1, 12288, 5120, 2, 170},
-                                {4, 4, 1, 12288, 5120, 2, 160},
-                                {4, 5, 1, 12288, 5120, 3, 160},
-                                {4, 6, 1, 12288, 5120, 2, 160},
-                                {4, 7, 1, 12288, 5120, 2, 160},
-                                {4, 8, 1, 12288, 5120, 1, 160},
-                                {4, 1, 1, 12288, 8192, 3, 170},
-                                {4, 2, 1, 12288, 8192, 2, 170},
-                                {4, 3, 1, 12288, 8192, 3, 170},
-                                {4, 4, 1, 12288, 8192, 2, 170},
-                                {4, 5, 1, 12288, 8192, 3, 160},
-                                {4, 6, 1, 12288, 8192, 3, 128},
-                                {4, 7, 1, 12288, 8192, 3, 160},
-                                {4, 8, 1, 12288, 8192, 1, 160},
-                                {4, 1, 1, 12288, 12288, 3, 170},
-                                {4, 2, 1, 12288, 12288, 4, 170},
-                                {4, 3, 1, 12288, 12288, 3, 170},
-                                {4, 4, 1, 12288, 12288, 4, 168},
-                                {4, 5, 1, 12288, 12288, 3, 168},
-                                {4, 6, 1, 12288, 12288, 3, 144},
-                                {4, 7, 1, 12288, 12288, 3, 144},
-                                {4, 8, 1, 12288, 12288, 1, 162},
-                                {4, 1, 1, 12288, 14336, 3, 170},
-                                {4, 2, 1, 12288, 14336, 4, 170},
-                                {4, 3, 1, 12288, 14336, 3, 168},
-                                {4, 4, 1, 12288, 14336, 4, 168},
-                                {4, 5, 1, 12288, 14336, 3, 168},
-                                {4, 6, 1, 12288, 14336, 3, 168},
-                                {4, 7, 1, 12288, 14336, 4, 168},
-                                {4, 8, 1, 12288, 14336, 1, 168},
-                                {4, 1, 1, 12288, 16384, 3, 170},
-                                {4, 2, 1, 12288, 16384, 4, 170},
-                                {4, 3, 1, 12288, 16384, 3, 170},
-                                {4, 4, 1, 12288, 16384, 4, 160},
-                                {4, 5, 1, 12288, 16384, 4, 160},
-                                {4, 6, 1, 12288, 16384, 4, 128},
-                                {4, 7, 1, 12288, 16384, 4, 128},
-                                {4, 8, 1, 12288, 16384, 1, 168},
-                                {4, 1, 1, 12288, 24576, 3, 170},
-                                {4, 2, 1, 12288, 24576, 4, 170},
-                                {4, 3, 1, 12288, 24576, 3, 170},
-                                {4, 4, 1, 12288, 24576, 4, 162},
-                                {4, 5, 1, 12288, 24576, 4, 144},
-                                {4, 6, 1, 12288, 24576, 4, 144},
-                                {4, 7, 1, 12288, 24576, 4, 144},
-                                {4, 8, 1, 12288, 24576, 1, 168},
-                                {4, 1, 1, 12288, 51200, 3, 170},
-                                {4, 2, 1, 12288, 51200, 4, 170},
-                                {4, 3, 1, 12288, 51200, 3, 170},
-                                {4, 4, 1, 12288, 51200, 4, 164},
-                                {4, 5, 1, 12288, 51200, 4, 168},
-                                {4, 6, 1, 12288, 51200, 4, 160},
-                                {4, 7, 1, 12288, 51200, 4, 156},
-                                {4, 8, 1, 12288, 51200, 4, 150},
-                                {4, 1, 1, 12288, 128000, 3, 170},
-                                {4, 2, 1, 12288, 128000, 4, 170},
-                                {4, 3, 1, 12288, 128000, 3, 170},
-                                {4, 4, 1, 12288, 128000, 4, 160},
-                                {4, 5, 1, 12288, 128000, 4, 170},
-                                {4, 6, 1, 12288, 128000, 4, 158},
-                                {4, 7, 1, 12288, 128000, 4, 166},
-                                {4, 8, 1, 12288, 128000, 4, 156},
-                                {4, 1, 1, 14336, 512, 2, 48},
-                                {4, 2, 1, 14336, 512, 2, 56},
-                                {4, 3, 1, 14336, 512, 2, 48},
-                                {4, 4, 1, 14336, 512, 2, 48},
-                                {4, 5, 1, 14336, 512, 2, 56},
-                                {4, 6, 1, 14336, 512, 2, 56},
-                                {4, 7, 1, 14336, 512, 2, 64},
-                                {4, 8, 1, 14336, 512, 2, 56},
-                                {4, 1, 1, 14336, 1024, 2, 104},
-                                {4, 2, 1, 14336, 1024, 2, 104},
-                                {4, 3, 1, 14336, 1024, 2, 96},
-                                {4, 4, 1, 14336, 1024, 2, 104},
-                                {4, 5, 1, 14336, 1024, 2, 112},
-                                {4, 6, 1, 14336, 1024, 2, 106},
-                                {4, 7, 1, 14336, 1024, 2, 152},
-                                {4, 8, 1, 14336, 1024, 2, 112},
-                                {4, 1, 1, 14336, 2048, 2, 162},
-                                {4, 2, 1, 14336, 2048, 2, 164},
-                                {4, 3, 1, 14336, 2048, 2, 170},
-                                {4, 4, 1, 14336, 2048, 2, 160},
-                                {4, 5, 1, 14336, 2048, 2, 168},
-                                {4, 6, 1, 14336, 2048, 2, 160},
-                                {4, 7, 1, 14336, 2048, 2, 160},
-                                {4, 8, 1, 14336, 2048, 2, 128},
-                                {4, 1, 1, 14336, 3072, 2, 168},
-                                {4, 2, 1, 14336, 3072, 2, 168},
-                                {4, 3, 1, 14336, 3072, 2, 168},
-                                {4, 4, 1, 14336, 3072, 2, 168},
-                                {4, 5, 1, 14336, 3072, 2, 168},
-                                {4, 6, 1, 14336, 3072, 2, 168},
-                                {4, 7, 1, 14336, 3072, 2, 168},
-                                {4, 8, 1, 14336, 3072, 1, 168},
-                                {4, 1, 1, 14336, 4096, 2, 170},
-                                {4, 2, 1, 14336, 4096, 2, 170},
-                                {4, 3, 1, 14336, 4096, 2, 170},
-                                {4, 4, 1, 14336, 4096, 2, 168},
-                                {4, 5, 1, 14336, 4096, 2, 168},
-                                {4, 6, 1, 14336, 4096, 2, 160},
-                                {4, 7, 1, 14336, 4096, 2, 160},
-                                {4, 8, 1, 14336, 4096, 1, 160},
-                                {4, 1, 1, 14336, 5120, 3, 170},
-                                {4, 2, 1, 14336, 5120, 2, 170},
-                                {4, 3, 1, 14336, 5120, 2, 170},
-                                {4, 4, 1, 14336, 5120, 2, 160},
-                                {4, 5, 1, 14336, 5120, 3, 160},
-                                {4, 6, 1, 14336, 5120, 2, 160},
-                                {4, 7, 1, 14336, 5120, 2, 160},
-                                {4, 8, 1, 14336, 5120, 1, 160},
-                                {4, 1, 1, 14336, 8192, 3, 170},
-                                {4, 2, 1, 14336, 8192, 2, 170},
-                                {4, 3, 1, 14336, 8192, 3, 170},
-                                {4, 4, 1, 14336, 8192, 3, 170},
-                                {4, 5, 1, 14336, 8192, 3, 160},
-                                {4, 6, 1, 14336, 8192, 3, 128},
-                                {4, 7, 1, 14336, 8192, 3, 128},
-                                {4, 8, 1, 14336, 8192, 1, 160},
-                                {4, 1, 1, 14336, 12288, 3, 170},
-                                {4, 2, 1, 14336, 12288, 4, 170},
-                                {4, 3, 1, 14336, 12288, 3, 170},
-                                {4, 4, 1, 14336, 12288, 4, 168},
-                                {4, 5, 1, 14336, 12288, 4, 168},
-                                {4, 6, 1, 14336, 12288, 3, 144},
-                                {4, 7, 1, 14336, 12288, 4, 120},
-                                {4, 8, 1, 14336, 12288, 2, 144},
-                                {4, 1, 1, 14336, 14336, 3, 170},
-                                {4, 2, 1, 14336, 14336, 4, 170},
-                                {4, 3, 1, 14336, 14336, 3, 170},
-                                {4, 4, 1, 14336, 14336, 4, 168},
-                                {4, 5, 1, 14336, 14336, 3, 168},
-                                {4, 6, 1, 14336, 14336, 3, 168},
-                                {4, 7, 1, 14336, 14336, 4, 168},
-                                {4, 8, 1, 14336, 14336, 1, 168},
-                                {4, 1, 1, 14336, 16384, 3, 170},
-                                {4, 2, 1, 14336, 16384, 4, 170},
-                                {4, 3, 1, 14336, 16384, 3, 170},
-                                {4, 4, 1, 14336, 16384, 4, 160},
-                                {4, 5, 1, 14336, 16384, 4, 160},
-                                {4, 6, 1, 14336, 16384, 4, 128},
-                                {4, 7, 1, 14336, 16384, 4, 128},
-                                {4, 8, 1, 14336, 16384, 1, 168},
-                                {4, 1, 1, 14336, 24576, 3, 170},
-                                {4, 2, 1, 14336, 24576, 4, 170},
-                                {4, 3, 1, 14336, 24576, 3, 170},
-                                {4, 4, 1, 14336, 24576, 4, 168},
-                                {4, 5, 1, 14336, 24576, 4, 144},
-                                {4, 6, 1, 14336, 24576, 4, 144},
-                                {4, 7, 1, 14336, 24576, 4, 144},
-                                {4, 8, 1, 14336, 24576, 1, 168},
-                                {4, 1, 1, 14336, 51200, 3, 170},
-                                {4, 2, 1, 14336, 51200, 4, 170},
-                                {4, 3, 1, 14336, 51200, 3, 170},
-                                {4, 4, 1, 14336, 51200, 4, 162},
-                                {4, 5, 1, 14336, 51200, 4, 160},
-                                {4, 6, 1, 14336, 51200, 4, 160},
-                                {4, 7, 1, 14336, 51200, 4, 158},
-                                {4, 8, 1, 14336, 51200, 4, 150},
-                                {4, 1, 1, 14336, 128000, 3, 170},
-                                {4, 2, 1, 14336, 128000, 4, 170},
-                                {4, 3, 1, 14336, 128000, 3, 170},
-                                {4, 4, 1, 14336, 128000, 4, 168},
-                                {4, 5, 1, 14336, 128000, 4, 160},
-                                {4, 6, 1, 14336, 128000, 4, 164},
-                                {4, 7, 1, 14336, 128000, 3, 166},
-                                {4, 8, 1, 14336, 128000, 4, 156},
-                                {4, 1, 1, 16384, 512, 2, 56},
-                                {4, 2, 1, 16384, 512, 2, 56},
-                                {4, 3, 1, 16384, 512, 2, 48},
-                                {4, 4, 1, 16384, 512, 2, 52},
-                                {4, 5, 1, 16384, 512, 2, 62},
-                                {4, 6, 1, 16384, 512, 2, 56},
-                                {4, 7, 1, 16384, 512, 2, 64},
-                                {4, 8, 1, 16384, 512, 2, 72},
-                                {4, 1, 1, 16384, 1024, 2, 108},
-                                {4, 2, 1, 16384, 1024, 2, 104},
-                                {4, 3, 1, 16384, 1024, 2, 104},
-                                {4, 4, 1, 16384, 1024, 2, 100},
-                                {4, 5, 1, 16384, 1024, 2, 128},
-                                {4, 6, 1, 16384, 1024, 2, 128},
-                                {4, 7, 1, 16384, 1024, 2, 128},
-                                {4, 8, 1, 16384, 1024, 2, 100},
-                                {4, 1, 1, 16384, 2048, 2, 158},
-                                {4, 2, 1, 16384, 2048, 2, 164},
-                                {4, 3, 1, 16384, 2048, 2, 168},
-                                {4, 4, 1, 16384, 2048, 2, 144},
-                                {4, 5, 1, 16384, 2048, 2, 168},
-                                {4, 6, 1, 16384, 2048, 2, 152},
-                                {4, 7, 1, 16384, 2048, 2, 168},
-                                {4, 8, 1, 16384, 2048, 1, 160},
-                                {4, 1, 1, 16384, 3072, 2, 170},
-                                {4, 2, 1, 16384, 3072, 2, 170},
-                                {4, 3, 1, 16384, 3072, 2, 168},
-                                {4, 4, 1, 16384, 3072, 2, 170},
-                                {4, 5, 1, 16384, 3072, 2, 168},
-                                {4, 6, 1, 16384, 3072, 2, 168},
-                                {4, 7, 1, 16384, 3072, 2, 168},
-                                {4, 8, 1, 16384, 3072, 1, 168},
-                                {4, 1, 1, 16384, 4096, 2, 170},
-                                {4, 2, 1, 16384, 4096, 2, 168},
-                                {4, 3, 1, 16384, 4096, 2, 170},
-                                {4, 4, 1, 16384, 4096, 2, 170},
-                                {4, 5, 1, 16384, 4096, 2, 170},
-                                {4, 6, 1, 16384, 4096, 2, 160},
-                                {4, 7, 1, 16384, 4096, 2, 170},
-                                {4, 8, 1, 16384, 4096, 1, 160},
-                                {4, 1, 1, 16384, 5120, 3, 170},
-                                {4, 2, 1, 16384, 5120, 2, 170},
-                                {4, 3, 1, 16384, 5120, 2, 170},
-                                {4, 4, 1, 16384, 5120, 2, 170},
-                                {4, 5, 1, 16384, 5120, 3, 160},
-                                {4, 6, 1, 16384, 5120, 2, 160},
-                                {4, 7, 1, 16384, 5120, 3, 160},
-                                {4, 8, 1, 16384, 5120, 1, 160},
-                                {4, 1, 1, 16384, 8192, 3, 170},
-                                {4, 2, 1, 16384, 8192, 2, 170},
-                                {4, 3, 1, 16384, 8192, 3, 170},
-                                {4, 4, 1, 16384, 8192, 3, 170},
-                                {4, 5, 1, 16384, 8192, 3, 160},
-                                {4, 6, 1, 16384, 8192, 3, 128},
-                                {4, 7, 1, 16384, 8192, 3, 160},
-                                {4, 8, 1, 16384, 8192, 1, 160},
-                                {4, 1, 1, 16384, 12288, 3, 170},
-                                {4, 2, 1, 16384, 12288, 4, 170},
-                                {4, 3, 1, 16384, 12288, 3, 170},
-                                {4, 4, 1, 16384, 12288, 4, 168},
-                                {4, 5, 1, 16384, 12288, 4, 168},
-                                {4, 6, 1, 16384, 12288, 3, 144},
-                                {4, 7, 1, 16384, 12288, 4, 120},
-                                {4, 8, 1, 16384, 12288, 2, 150},
-                                {4, 1, 1, 16384, 14336, 3, 170},
-                                {4, 2, 1, 16384, 14336, 4, 170},
-                                {4, 3, 1, 16384, 14336, 3, 170},
-                                {4, 4, 1, 16384, 14336, 4, 168},
-                                {4, 5, 1, 16384, 14336, 3, 168},
-                                {4, 6, 1, 16384, 14336, 3, 168},
-                                {4, 7, 1, 16384, 14336, 4, 168},
-                                {4, 8, 1, 16384, 14336, 1, 168},
-                                {4, 1, 1, 16384, 16384, 3, 170},
-                                {4, 2, 1, 16384, 16384, 4, 170},
-                                {4, 3, 1, 16384, 16384, 3, 170},
-                                {4, 4, 1, 16384, 16384, 4, 160},
-                                {4, 5, 1, 16384, 16384, 4, 160},
-                                {4, 6, 1, 16384, 16384, 4, 128},
-                                {4, 7, 1, 16384, 16384, 4, 128},
-                                {4, 8, 1, 16384, 16384, 1, 168},
-                                {4, 1, 1, 16384, 24576, 3, 170},
-                                {4, 2, 1, 16384, 24576, 4, 170},
-                                {4, 3, 1, 16384, 24576, 3, 170},
-                                {4, 4, 1, 16384, 24576, 4, 168},
-                                {4, 5, 1, 16384, 24576, 4, 144},
-                                {4, 6, 1, 16384, 24576, 4, 144},
-                                {4, 7, 1, 16384, 24576, 4, 144},
-                                {4, 8, 1, 16384, 24576, 1, 168},
-                                {4, 1, 1, 16384, 51200, 3, 170},
-                                {4, 2, 1, 16384, 51200, 4, 170},
-                                {4, 3, 1, 16384, 51200, 3, 170},
-                                {4, 4, 1, 16384, 51200, 4, 166},
-                                {4, 5, 1, 16384, 51200, 4, 150},
-                                {4, 6, 1, 16384, 51200, 4, 160},
-                                {4, 7, 1, 16384, 51200, 4, 158},
-                                {4, 8, 1, 16384, 51200, 4, 150},
-                                {4, 1, 1, 16384, 128000, 3, 170},
-                                {4, 2, 1, 16384, 128000, 4, 170},
-                                {4, 3, 1, 16384, 128000, 3, 170},
-                                {4, 4, 1, 16384, 128000, 4, 170},
-                                {4, 5, 1, 16384, 128000, 4, 160},
-                                {4, 6, 1, 16384, 128000, 4, 164},
-                                {4, 7, 1, 16384, 128000, 4, 160},
-                                {4, 8, 1, 16384, 128000, 4, 156},
-                                {4, 1, 1, 24576, 512, 2, 64},
-                                {4, 2, 1, 24576, 512, 2, 70},
-                                {4, 3, 1, 24576, 512, 2, 70},
-                                {4, 4, 1, 24576, 512, 2, 56},
-                                {4, 5, 1, 24576, 512, 2, 74},
-                                {4, 6, 1, 24576, 512, 2, 72},
-                                {4, 7, 1, 24576, 512, 2, 88},
-                                {4, 8, 1, 24576, 512, 2, 72},
-                                {4, 1, 1, 24576, 1024, 2, 132},
-                                {4, 2, 1, 24576, 1024, 2, 144},
-                                {4, 3, 1, 24576, 1024, 2, 144},
-                                {4, 4, 1, 24576, 1024, 2, 120},
-                                {4, 5, 1, 24576, 1024, 2, 140},
-                                {4, 6, 1, 24576, 1024, 2, 144},
-                                {4, 7, 1, 24576, 1024, 2, 144},
-                                {4, 8, 1, 24576, 1024, 2, 120},
-                                {4, 1, 1, 24576, 2048, 2, 170},
-                                {4, 2, 1, 24576, 2048, 2, 170},
-                                {4, 3, 1, 24576, 2048, 2, 158},
-                                {4, 4, 1, 24576, 2048, 2, 162},
-                                {4, 5, 1, 24576, 2048, 2, 168},
-                                {4, 6, 1, 24576, 2048, 2, 160},
-                                {4, 7, 1, 24576, 2048, 2, 160},
-                                {4, 8, 1, 24576, 2048, 1, 160},
-                                {4, 1, 1, 24576, 3072, 2, 170},
-                                {4, 2, 1, 24576, 3072, 2, 170},
-                                {4, 3, 1, 24576, 3072, 2, 168},
-                                {4, 4, 1, 24576, 3072, 2, 168},
-                                {4, 5, 1, 24576, 3072, 2, 168},
-                                {4, 6, 1, 24576, 3072, 2, 168},
-                                {4, 7, 1, 24576, 3072, 2, 168},
-                                {4, 8, 1, 24576, 3072, 1, 168},
-                                {4, 1, 1, 24576, 4096, 2, 170},
-                                {4, 2, 1, 24576, 4096, 2, 170},
-                                {4, 3, 1, 24576, 4096, 3, 170},
-                                {4, 4, 1, 24576, 4096, 2, 170},
-                                {4, 5, 1, 24576, 4096, 3, 160},
-                                {4, 6, 1, 24576, 4096, 2, 160},
-                                {4, 7, 1, 24576, 4096, 3, 144},
-                                {4, 8, 1, 24576, 4096, 1, 160},
-                                {4, 1, 1, 24576, 5120, 3, 170},
-                                {4, 2, 1, 24576, 5120, 2, 170},
-                                {4, 3, 1, 24576, 5120, 3, 170},
-                                {4, 4, 1, 24576, 5120, 3, 170},
-                                {4, 5, 1, 24576, 5120, 3, 160},
-                                {4, 6, 1, 24576, 5120, 2, 160},
-                                {4, 7, 1, 24576, 5120, 3, 160},
-                                {4, 8, 1, 24576, 5120, 1, 160},
-                                {4, 1, 1, 24576, 8192, 3, 170},
-                                {4, 2, 1, 24576, 8192, 4, 170},
-                                {4, 3, 1, 24576, 8192, 3, 170},
-                                {4, 4, 1, 24576, 8192, 4, 160},
-                                {4, 5, 1, 24576, 8192, 3, 160},
-                                {4, 6, 1, 24576, 8192, 3, 128},
-                                {4, 7, 1, 24576, 8192, 3, 128},
-                                {4, 8, 1, 24576, 8192, 1, 160},
-                                {4, 1, 1, 24576, 12288, 3, 170},
-                                {4, 2, 1, 24576, 12288, 4, 170},
-                                {4, 3, 1, 24576, 12288, 3, 170},
-                                {4, 4, 1, 24576, 12288, 4, 168},
-                                {4, 5, 1, 24576, 12288, 4, 168},
-                                {4, 6, 1, 24576, 12288, 3, 144},
-                                {4, 7, 1, 24576, 12288, 4, 120},
-                                {4, 8, 1, 24576, 12288, 2, 156},
-                                {4, 1, 1, 24576, 14336, 3, 170},
-                                {4, 2, 1, 24576, 14336, 4, 170},
-                                {4, 3, 1, 24576, 14336, 3, 170},
-                                {4, 4, 1, 24576, 14336, 4, 168},
-                                {4, 5, 1, 24576, 14336, 3, 168},
-                                {4, 6, 1, 24576, 14336, 4, 168},
-                                {4, 7, 1, 24576, 14336, 4, 168},
-                                {4, 8, 1, 24576, 14336, 1, 168},
-                                {4, 1, 1, 24576, 16384, 3, 170},
-                                {4, 2, 1, 24576, 16384, 4, 170},
-                                {4, 3, 1, 24576, 16384, 3, 170},
-                                {4, 4, 1, 24576, 16384, 4, 166},
-                                {4, 5, 1, 24576, 16384, 4, 160},
-                                {4, 6, 1, 24576, 16384, 4, 128},
-                                {4, 7, 1, 24576, 16384, 4, 128},
-                                {4, 8, 1, 24576, 16384, 1, 168},
-                                {4, 1, 1, 24576, 24576, 3, 170},
-                                {4, 2, 1, 24576, 24576, 4, 170},
-                                {4, 3, 1, 24576, 24576, 3, 170},
-                                {4, 4, 1, 24576, 24576, 4, 168},
-                                {4, 5, 1, 24576, 24576, 4, 144},
-                                {4, 6, 1, 24576, 24576, 4, 144},
-                                {4, 7, 1, 24576, 24576, 4, 144},
-                                {4, 8, 1, 24576, 24576, 2, 168},
-                                {4, 1, 1, 24576, 51200, 3, 170},
-                                {4, 2, 1, 24576, 51200, 4, 170},
-                                {4, 3, 1, 24576, 51200, 3, 170},
-                                {4, 4, 1, 24576, 51200, 4, 166},
-                                {4, 5, 1, 24576, 51200, 4, 164},
-                                {4, 6, 1, 24576, 51200, 4, 160},
-                                {4, 7, 1, 24576, 51200, 4, 160},
-                                {4, 8, 1, 24576, 51200, 4, 150},
-                                {4, 1, 1, 24576, 128000, 3, 170},
-                                {4, 2, 1, 24576, 128000, 4, 170},
-                                {4, 3, 1, 24576, 128000, 3, 170},
-                                {4, 4, 1, 24576, 128000, 4, 170},
-                                {4, 5, 1, 24576, 128000, 4, 164},
-                                {4, 6, 1, 24576, 128000, 4, 170},
-                                {4, 7, 1, 24576, 128000, 4, 170},
-                                {4, 8, 1, 24576, 128000, 4, 156},
-                                {3, 1, 1, 128, 512, 1, 8},
-                                {3, 2, 1, 128, 512, 2, 4},
-                                {3, 3, 1, 128, 512, 1, 8},
-                                {3, 4, 1, 128, 512, 1, 8},
-                                {3, 5, 1, 128, 512, 1, 8},
-                                {3, 6, 1, 128, 512, 1, 8},
-                                {3, 7, 1, 128, 512, 1, 8},
-                                {3, 8, 1, 128, 512, 2, 8},
-                                {3, 1, 1, 128, 1024, 1, 16},
-                                {3, 2, 1, 128, 1024, 1, 16},
-                                {3, 3, 1, 128, 1024, 1, 16},
-                                {3, 4, 1, 128, 1024, 1, 16},
-                                {3, 5, 1, 128, 1024, 1, 16},
-                                {3, 6, 1, 128, 1024, 1, 16},
-                                {3, 7, 1, 128, 1024, 1, 16},
-                                {3, 8, 1, 128, 1024, 1, 16},
-                                {3, 1, 1, 128, 2048, 1, 32},
-                                {3, 2, 1, 128, 2048, 1, 32},
-                                {3, 3, 1, 128, 2048, 1, 32},
-                                {3, 4, 1, 128, 2048, 1, 32},
-                                {3, 5, 1, 128, 2048, 1, 32},
-                                {3, 6, 1, 128, 2048, 1, 32},
-                                {3, 7, 1, 128, 2048, 1, 32},
-                                {3, 8, 1, 128, 2048, 1, 32},
-                                {3, 1, 1, 128, 3072, 1, 48},
-                                {3, 2, 1, 128, 3072, 1, 48},
-                                {3, 3, 1, 128, 3072, 1, 48},
-                                {3, 4, 1, 128, 3072, 1, 48},
-                                {3, 5, 1, 128, 3072, 1, 48},
-                                {3, 6, 1, 128, 3072, 1, 48},
-                                {3, 7, 1, 128, 3072, 1, 48},
-                                {3, 8, 1, 128, 3072, 1, 48},
-                                {3, 1, 1, 128, 4096, 1, 64},
-                                {3, 2, 1, 128, 4096, 1, 64},
-                                {3, 3, 1, 128, 4096, 1, 64},
-                                {3, 4, 1, 128, 4096, 1, 64},
-                                {3, 5, 1, 128, 4096, 1, 64},
-                                {3, 6, 1, 128, 4096, 1, 64},
-                                {3, 7, 1, 128, 4096, 1, 64},
-                                {3, 8, 1, 128, 4096, 1, 64},
-                                {3, 1, 1, 128, 5120, 1, 40},
-                                {3, 2, 1, 128, 5120, 1, 80},
-                                {3, 3, 1, 128, 5120, 1, 80},
-                                {3, 4, 1, 128, 5120, 1, 80},
-                                {3, 5, 1, 128, 5120, 1, 80},
-                                {3, 6, 1, 128, 5120, 1, 80},
-                                {3, 7, 1, 128, 5120, 1, 80},
-                                {3, 8, 1, 128, 5120, 1, 80},
-                                {3, 1, 1, 128, 8192, 1, 128},
-                                {3, 2, 1, 128, 8192, 1, 128},
-                                {3, 3, 1, 128, 8192, 1, 128},
-                                {3, 4, 1, 128, 8192, 1, 128},
-                                {3, 5, 1, 128, 8192, 1, 128},
-                                {3, 6, 1, 128, 8192, 1, 128},
-                                {3, 7, 1, 128, 8192, 1, 128},
-                                {3, 8, 1, 128, 8192, 1, 128},
-                                {3, 1, 1, 128, 12288, 1, 96},
-                                {3, 2, 1, 128, 12288, 1, 96},
-                                {3, 3, 1, 128, 12288, 1, 96},
-                                {3, 4, 1, 128, 12288, 1, 96},
-                                {3, 5, 1, 128, 12288, 1, 96},
-                                {3, 6, 1, 128, 12288, 1, 96},
-                                {3, 7, 1, 128, 12288, 1, 96},
-                                {3, 8, 1, 128, 12288, 1, 96},
-                                {3, 1, 1, 128, 14336, 1, 112},
-                                {3, 2, 1, 128, 14336, 1, 112},
-                                {3, 3, 1, 128, 14336, 1, 112},
-                                {3, 4, 1, 128, 14336, 1, 112},
-                                {3, 5, 1, 128, 14336, 1, 112},
-                                {3, 6, 1, 128, 14336, 1, 112},
-                                {3, 7, 1, 128, 14336, 1, 112},
-                                {3, 8, 1, 128, 14336, 1, 112},
-                                {3, 1, 1, 128, 16384, 1, 128},
-                                {3, 2, 1, 128, 16384, 1, 128},
-                                {3, 3, 1, 128, 16384, 1, 128},
-                                {3, 4, 1, 128, 16384, 1, 128},
-                                {3, 5, 1, 128, 16384, 1, 128},
-                                {3, 6, 1, 128, 16384, 1, 128},
-                                {3, 7, 1, 128, 16384, 1, 128},
-                                {3, 8, 1, 128, 16384, 1, 128},
-                                {3, 1, 1, 128, 24576, 3, 96},
-                                {3, 2, 1, 128, 24576, 3, 96},
-                                {3, 3, 1, 128, 24576, 3, 96},
-                                {3, 4, 1, 128, 24576, 3, 96},
-                                {3, 5, 1, 128, 24576, 1, 128},
-                                {3, 6, 1, 128, 24576, 1, 128},
-                                {3, 7, 1, 128, 24576, 4, 88},
-                                {3, 8, 1, 128, 24576, 4, 88},
-                                {3, 1, 1, 128, 51200, 4, 128},
-                                {3, 2, 1, 128, 51200, 4, 116},
-                                {3, 3, 1, 128, 51200, 4, 116},
-                                {3, 4, 1, 128, 51200, 4, 116},
-                                {3, 5, 1, 128, 51200, 4, 112},
-                                {3, 6, 1, 128, 51200, 4, 100},
-                                {3, 7, 1, 128, 51200, 4, 80},
-                                {3, 8, 1, 128, 51200, 4, 80},
-                                {3, 1, 1, 128, 128000, 4, 128},
-                                {3, 2, 1, 128, 128000, 4, 128},
-                                {3, 3, 1, 128, 128000, 4, 128},
-                                {3, 4, 1, 128, 128000, 4, 128},
-                                {3, 5, 1, 128, 128000, 4, 126},
-                                {3, 6, 1, 128, 128000, 4, 126},
-                                {3, 7, 1, 128, 128000, 4, 128},
-                                {3, 8, 1, 128, 128000, 4, 128},
-                                {3, 1, 1, 256, 512, 2, 8},
-                                {3, 2, 1, 256, 512, 2, 8},
-                                {3, 3, 1, 256, 512, 2, 8},
-                                {3, 4, 1, 256, 512, 2, 8},
-                                {3, 5, 1, 256, 512, 2, 8},
-                                {3, 6, 1, 256, 512, 2, 8},
-                                {3, 7, 1, 256, 512, 2, 8},
-                                {3, 8, 1, 256, 512, 2, 8},
-                                {3, 1, 1, 256, 1024, 2, 16},
-                                {3, 2, 1, 256, 1024, 2, 16},
-                                {3, 3, 1, 256, 1024, 2, 16},
-                                {3, 4, 1, 256, 1024, 2, 16},
-                                {3, 5, 1, 256, 1024, 2, 16},
-                                {3, 6, 1, 256, 1024, 2, 16},
-                                {3, 7, 1, 256, 1024, 2, 16},
-                                {3, 8, 1, 256, 1024, 2, 16},
-                                {3, 1, 1, 256, 2048, 2, 32},
-                                {3, 2, 1, 256, 2048, 2, 32},
-                                {3, 3, 1, 256, 2048, 1, 32},
-                                {3, 4, 1, 256, 2048, 2, 32},
-                                {3, 5, 1, 256, 2048, 1, 32},
-                                {3, 6, 1, 256, 2048, 1, 32},
-                                {3, 7, 1, 256, 2048, 2, 32},
-                                {3, 8, 1, 256, 2048, 1, 32},
-                                {3, 1, 1, 256, 3072, 2, 48},
-                                {3, 2, 1, 256, 3072, 2, 48},
-                                {3, 3, 1, 256, 3072, 2, 48},
-                                {3, 4, 1, 256, 3072, 2, 48},
-                                {3, 5, 1, 256, 3072, 1, 48},
-                                {3, 6, 1, 256, 3072, 1, 48},
-                                {3, 7, 1, 256, 3072, 1, 48},
-                                {3, 8, 1, 256, 3072, 1, 48},
-                                {3, 1, 1, 256, 4096, 2, 64},
-                                {3, 2, 1, 256, 4096, 1, 64},
-                                {3, 3, 1, 256, 4096, 1, 64},
-                                {3, 4, 1, 256, 4096, 2, 64},
-                                {3, 5, 1, 256, 4096, 1, 64},
-                                {3, 6, 1, 256, 4096, 1, 64},
-                                {3, 7, 1, 256, 4096, 1, 64},
-                                {3, 8, 1, 256, 4096, 1, 64},
-                                {3, 1, 1, 256, 5120, 2, 80},
-                                {3, 2, 1, 256, 5120, 1, 80},
-                                {3, 3, 1, 256, 5120, 1, 80},
-                                {3, 4, 1, 256, 5120, 2, 80},
-                                {3, 5, 1, 256, 5120, 1, 80},
-                                {3, 6, 1, 256, 5120, 1, 80},
-                                {3, 7, 1, 256, 5120, 1, 80},
-                                {3, 8, 1, 256, 5120, 1, 80},
-                                {3, 1, 1, 256, 8192, 2, 128},
-                                {3, 2, 1, 256, 8192, 2, 128},
-                                {3, 3, 1, 256, 8192, 1, 128},
-                                {3, 4, 1, 256, 8192, 1, 128},
-                                {3, 5, 1, 256, 8192, 1, 128},
-                                {3, 6, 1, 256, 8192, 1, 128},
-                                {3, 7, 1, 256, 8192, 1, 128},
-                                {3, 8, 1, 256, 8192, 1, 128},
-                                {3, 1, 1, 256, 12288, 2, 96},
-                                {3, 2, 1, 256, 12288, 2, 128},
-                                {3, 3, 1, 256, 12288, 1, 128},
-                                {3, 4, 1, 256, 12288, 2, 96},
-                                {3, 5, 1, 256, 12288, 1, 128},
-                                {3, 6, 1, 256, 12288, 2, 116},
-                                {3, 7, 1, 256, 12288, 2, 116},
-                                {3, 8, 1, 256, 12288, 1, 116},
-                                {3, 1, 1, 256, 14336, 2, 112},
-                                {3, 2, 1, 256, 14336, 2, 112},
-                                {3, 3, 1, 256, 14336, 2, 112},
-                                {3, 4, 1, 256, 14336, 2, 112},
-                                {3, 5, 1, 256, 14336, 1, 112},
-                                {3, 6, 1, 256, 14336, 1, 112},
-                                {3, 7, 1, 256, 14336, 1, 112},
-                                {3, 8, 1, 256, 14336, 1, 112},
-                                {3, 1, 1, 256, 16384, 2, 128},
-                                {3, 2, 1, 256, 16384, 2, 128},
-                                {3, 3, 1, 256, 16384, 2, 128},
-                                {3, 4, 1, 256, 16384, 1, 128},
-                                {3, 5, 1, 256, 16384, 1, 128},
-                                {3, 6, 1, 256, 16384, 1, 128},
-                                {3, 7, 1, 256, 16384, 1, 128},
-                                {3, 8, 1, 256, 16384, 2, 116},
-                                {3, 1, 1, 256, 24576, 3, 96},
-                                {3, 2, 1, 256, 24576, 3, 96},
-                                {3, 3, 1, 256, 24576, 3, 96},
-                                {3, 4, 1, 256, 24576, 2, 128},
-                                {3, 5, 1, 256, 24576, 4, 88},
-                                {3, 6, 1, 256, 24576, 1, 128},
-                                {3, 7, 1, 256, 24576, 1, 128},
-                                {3, 8, 1, 256, 24576, 1, 128},
-                                {3, 1, 1, 256, 51200, 4, 128},
-                                {3, 2, 1, 256, 51200, 4, 128},
-                                {3, 3, 1, 256, 51200, 4, 128},
-                                {3, 4, 1, 256, 51200, 4, 112},
-                                {3, 5, 1, 256, 51200, 4, 100},
-                                {3, 6, 1, 256, 51200, 4, 80},
-                                {3, 7, 1, 256, 51200, 4, 80},
-                                {3, 8, 1, 256, 51200, 1, 120},
-                                {3, 1, 1, 256, 128000, 4, 128},
-                                {3, 2, 1, 256, 128000, 4, 128},
-                                {3, 3, 1, 256, 128000, 4, 128},
-                                {3, 4, 1, 256, 128000, 4, 128},
-                                {3, 5, 1, 256, 128000, 4, 126},
-                                {3, 6, 1, 256, 128000, 4, 126},
-                                {3, 7, 1, 256, 128000, 4, 80},
-                                {3, 8, 1, 256, 128000, 1, 126},
-                                {3, 1, 1, 512, 512, 2, 8},
-                                {3, 2, 1, 512, 512, 2, 8},
-                                {3, 3, 1, 512, 512, 2, 16},
-                                {3, 4, 1, 512, 512, 2, 8},
-                                {3, 5, 1, 512, 512, 2, 16},
-                                {3, 6, 1, 512, 512, 2, 16},
-                                {3, 7, 1, 512, 512, 2, 16},
-                                {3, 8, 1, 512, 512, 2, 16},
-                                {3, 1, 1, 512, 1024, 2, 16},
-                                {3, 2, 1, 512, 1024, 2, 16},
-                                {3, 3, 1, 512, 1024, 2, 32},
-                                {3, 4, 1, 512, 1024, 2, 16},
-                                {3, 5, 1, 512, 1024, 2, 32},
-                                {3, 6, 1, 512, 1024, 2, 32},
-                                {3, 7, 1, 512, 1024, 2, 32},
-                                {3, 8, 1, 512, 1024, 2, 32},
-                                {3, 1, 1, 512, 2048, 2, 32},
-                                {3, 2, 1, 512, 2048, 2, 32},
-                                {3, 3, 1, 512, 2048, 1, 64},
-                                {3, 4, 1, 512, 2048, 2, 32},
-                                {3, 5, 1, 512, 2048, 1, 64},
-                                {3, 6, 1, 512, 2048, 1, 64},
-                                {3, 7, 1, 512, 2048, 1, 64},
-                                {3, 8, 1, 512, 2048, 1, 64},
-                                {3, 1, 1, 512, 3072, 2, 48},
-                                {3, 2, 1, 512, 3072, 2, 48},
-                                {3, 3, 1, 512, 3072, 1, 72},
-                                {3, 4, 1, 512, 3072, 2, 48},
-                                {3, 5, 1, 512, 3072, 1, 96},
-                                {3, 6, 1, 512, 3072, 1, 72},
-                                {3, 7, 1, 512, 3072, 1, 96},
-                                {3, 8, 1, 512, 3072, 1, 96},
-                                {3, 1, 1, 512, 4096, 2, 64},
-                                {3, 2, 1, 512, 4096, 2, 64},
-                                {3, 3, 1, 512, 4096, 1, 96},
-                                {3, 4, 1, 512, 4096, 2, 64},
-                                {3, 5, 1, 512, 4096, 1, 128},
-                                {3, 6, 1, 512, 4096, 1, 128},
-                                {3, 7, 1, 512, 4096, 1, 128},
-                                {3, 8, 1, 512, 4096, 1, 94},
-                                {3, 1, 1, 512, 5120, 2, 80},
-                                {3, 2, 1, 512, 5120, 2, 80},
-                                {3, 3, 1, 512, 5120, 1, 120},
-                                {3, 4, 1, 512, 5120, 2, 80},
-                                {3, 5, 1, 512, 5120, 1, 120},
-                                {3, 6, 1, 512, 5120, 1, 120},
-                                {3, 7, 1, 512, 5120, 1, 120},
-                                {3, 8, 1, 512, 5120, 2, 112},
-                                {3, 1, 1, 512, 8192, 2, 128},
-                                {3, 2, 1, 512, 8192, 2, 128},
-                                {3, 3, 1, 512, 8192, 2, 128},
-                                {3, 4, 1, 512, 8192, 2, 116},
-                                {3, 5, 1, 512, 8192, 2, 116},
-                                {3, 6, 1, 512, 8192, 1, 128},
-                                {3, 7, 1, 512, 8192, 2, 116},
-                                {3, 8, 1, 512, 8192, 1, 116},
-                                {3, 1, 1, 512, 12288, 2, 128},
-                                {3, 2, 1, 512, 12288, 2, 128},
-                                {3, 3, 1, 512, 12288, 1, 128},
-                                {3, 4, 1, 512, 12288, 2, 116},
-                                {3, 5, 1, 512, 12288, 2, 116},
-                                {3, 6, 1, 512, 12288, 1, 128},
-                                {3, 7, 1, 512, 12288, 2, 96},
-                                {3, 8, 1, 512, 12288, 1, 96},
-                                {3, 1, 1, 512, 14336, 2, 112},
-                                {3, 2, 1, 512, 14336, 2, 112},
-                                {3, 3, 1, 512, 14336, 3, 112},
-                                {3, 4, 1, 512, 14336, 2, 112},
-                                {3, 5, 1, 512, 14336, 2, 112},
-                                {3, 6, 1, 512, 14336, 1, 112},
-                                {3, 7, 1, 512, 14336, 1, 112},
-                                {3, 8, 1, 512, 14336, 1, 112},
-                                {3, 1, 1, 512, 16384, 2, 128},
-                                {3, 2, 1, 512, 16384, 2, 128},
-                                {3, 3, 1, 512, 16384, 3, 128},
-                                {3, 4, 1, 512, 16384, 2, 128},
-                                {3, 5, 1, 512, 16384, 1, 128},
-                                {3, 6, 1, 512, 16384, 1, 128},
-                                {3, 7, 1, 512, 16384, 1, 128},
-                                {3, 8, 1, 512, 16384, 1, 128},
-                                {3, 1, 1, 512, 24576, 3, 128},
-                                {3, 2, 1, 512, 24576, 3, 128},
-                                {3, 3, 1, 512, 24576, 3, 128},
-                                {3, 4, 1, 512, 24576, 2, 128},
-                                {3, 5, 1, 512, 24576, 2, 128},
-                                {3, 6, 1, 512, 24576, 1, 128},
-                                {3, 7, 1, 512, 24576, 1, 128},
-                                {3, 8, 1, 512, 24576, 1, 128},
-                                {3, 1, 1, 512, 51200, 4, 128},
-                                {3, 2, 1, 512, 51200, 4, 128},
-                                {3, 3, 1, 512, 51200, 4, 128},
-                                {3, 4, 1, 512, 51200, 4, 100},
-                                {3, 5, 1, 512, 51200, 4, 104},
-                                {3, 6, 1, 512, 51200, 4, 80},
-                                {3, 7, 1, 512, 51200, 4, 100},
-                                {3, 8, 1, 512, 51200, 1, 120},
-                                {3, 1, 1, 512, 128000, 4, 128},
-                                {3, 2, 1, 512, 128000, 3, 128},
-                                {3, 3, 1, 512, 128000, 4, 128},
-                                {3, 4, 1, 512, 128000, 4, 128},
-                                {3, 5, 1, 512, 128000, 4, 128},
-                                {3, 6, 1, 512, 128000, 4, 128},
-                                {3, 7, 1, 512, 128000, 4, 80},
-                                {3, 8, 1, 512, 128000, 1, 126},
-                                {3, 1, 1, 1024, 512, 2, 16},
-                                {3, 2, 1, 1024, 512, 2, 16},
-                                {3, 3, 1, 1024, 512, 2, 16},
-                                {3, 4, 1, 1024, 512, 2, 16},
-                                {3, 5, 1, 1024, 512, 2, 16},
-                                {3, 6, 1, 1024, 512, 2, 16},
-                                {3, 7, 1, 1024, 512, 2, 16},
-                                {3, 8, 1, 1024, 512, 2, 16},
-                                {3, 1, 1, 1024, 1024, 2, 32},
-                                {3, 2, 1, 1024, 1024, 2, 32},
-                                {3, 3, 1, 1024, 1024, 2, 32},
-                                {3, 4, 1, 1024, 1024, 2, 32},
-                                {3, 5, 1, 1024, 1024, 2, 32},
-                                {3, 6, 1, 1024, 1024, 2, 32},
-                                {3, 7, 1, 1024, 1024, 2, 32},
-                                {3, 8, 1, 1024, 1024, 2, 32},
-                                {3, 1, 1, 1024, 2048, 2, 64},
-                                {3, 2, 1, 1024, 2048, 2, 64},
-                                {3, 3, 1, 1024, 2048, 2, 64},
-                                {3, 4, 1, 1024, 2048, 2, 64},
-                                {3, 5, 1, 1024, 2048, 2, 64},
-                                {3, 6, 1, 1024, 2048, 2, 64},
-                                {3, 7, 1, 1024, 2048, 2, 64},
-                                {3, 8, 1, 1024, 2048, 1, 78},
-                                {3, 1, 1, 1024, 3072, 2, 96},
-                                {3, 2, 1, 1024, 3072, 2, 96},
-                                {3, 3, 1, 1024, 3072, 2, 96},
-                                {3, 4, 1, 1024, 3072, 2, 96},
-                                {3, 5, 1, 1024, 3072, 2, 88},
-                                {3, 6, 1, 1024, 3072, 2, 88},
-                                {3, 7, 1, 1024, 3072, 2, 88},
-                                {3, 8, 1, 1024, 3072, 2, 88},
-                                {3, 1, 1, 1024, 4096, 2, 128},
-                                {3, 2, 1, 1024, 4096, 2, 128},
-                                {3, 3, 1, 1024, 4096, 2, 128},
-                                {3, 4, 1, 1024, 4096, 2, 120},
-                                {3, 5, 1, 1024, 4096, 2, 116},
-                                {3, 6, 1, 1024, 4096, 1, 124},
-                                {3, 7, 1, 1024, 4096, 2, 116},
-                                {3, 8, 1, 1024, 4096, 1, 116},
-                                {3, 1, 1, 1024, 5120, 2, 120},
-                                {3, 2, 1, 1024, 5120, 2, 120},
-                                {3, 3, 1, 1024, 5120, 2, 112},
-                                {3, 4, 1, 1024, 5120, 2, 112},
-                                {3, 5, 1, 1024, 5120, 2, 112},
-                                {3, 6, 1, 1024, 5120, 2, 112},
-                                {3, 7, 1, 1024, 5120, 2, 112},
-                                {3, 8, 1, 1024, 5120, 1, 104},
-                                {3, 1, 1, 1024, 8192, 2, 128},
-                                {3, 2, 1, 1024, 8192, 2, 128},
-                                {3, 3, 1, 1024, 8192, 2, 128},
-                                {3, 4, 1, 1024, 8192, 2, 116},
-                                {3, 5, 1, 1024, 8192, 2, 124},
-                                {3, 6, 1, 1024, 8192, 1, 128},
-                                {3, 7, 1, 1024, 8192, 1, 128},
-                                {3, 8, 1, 1024, 8192, 1, 124},
-                                {3, 1, 1, 1024, 12288, 3, 128},
-                                {3, 2, 1, 1024, 12288, 3, 128},
-                                {3, 3, 1, 1024, 12288, 3, 128},
-                                {3, 4, 1, 1024, 12288, 2, 128},
-                                {3, 5, 1, 1024, 12288, 2, 128},
-                                {3, 6, 1, 1024, 12288, 1, 128},
-                                {3, 7, 1, 1024, 12288, 2, 96},
-                                {3, 8, 1, 1024, 12288, 1, 96},
-                                {3, 1, 1, 1024, 14336, 3, 128},
-                                {3, 2, 1, 1024, 14336, 3, 128},
-                                {3, 3, 1, 1024, 14336, 3, 128},
-                                {3, 4, 1, 1024, 14336, 2, 128},
-                                {3, 5, 1, 1024, 14336, 2, 112},
-                                {3, 6, 1, 1024, 14336, 1, 128},
-                                {3, 7, 1, 1024, 14336, 1, 128},
-                                {3, 8, 1, 1024, 14336, 1, 110},
-                                {3, 1, 1, 1024, 16384, 3, 128},
-                                {3, 2, 1, 1024, 16384, 3, 128},
-                                {3, 3, 1, 1024, 16384, 3, 128},
-                                {3, 4, 1, 1024, 16384, 2, 128},
-                                {3, 5, 1, 1024, 16384, 2, 128},
-                                {3, 6, 1, 1024, 16384, 1, 128},
-                                {3, 7, 1, 1024, 16384, 1, 128},
-                                {3, 8, 1, 1024, 16384, 1, 126},
-                                {3, 1, 1, 1024, 24576, 3, 128},
-                                {3, 2, 1, 1024, 24576, 3, 128},
-                                {3, 3, 1, 1024, 24576, 3, 128},
-                                {3, 4, 1, 1024, 24576, 2, 128},
-                                {3, 5, 1, 1024, 24576, 4, 88},
-                                {3, 6, 1, 1024, 24576, 1, 128},
-                                {3, 7, 1, 1024, 24576, 4, 64},
-                                {3, 8, 1, 1024, 24576, 1, 128},
-                                {3, 1, 1, 1024, 51200, 3, 128},
-                                {3, 2, 1, 1024, 51200, 3, 128},
-                                {3, 3, 1, 1024, 51200, 4, 128},
-                                {3, 4, 1, 1024, 51200, 4, 100},
-                                {3, 5, 1, 1024, 51200, 4, 100},
-                                {3, 6, 1, 1024, 51200, 4, 100},
-                                {3, 7, 1, 1024, 51200, 4, 100},
-                                {3, 8, 1, 1024, 51200, 4, 100},
-                                {3, 1, 1, 1024, 128000, 3, 128},
-                                {3, 2, 1, 1024, 128000, 3, 128},
-                                {3, 3, 1, 1024, 128000, 3, 128},
-                                {3, 4, 1, 1024, 128000, 4, 128},
-                                {3, 5, 1, 1024, 128000, 4, 126},
-                                {3, 6, 1, 1024, 128000, 4, 126},
-                                {3, 7, 1, 1024, 128000, 4, 100},
-                                {3, 8, 1, 1024, 128000, 4, 88},
-                                {3, 1, 1, 2048, 512, 2, 20},
-                                {3, 2, 1, 2048, 512, 2, 20},
-                                {3, 3, 1, 2048, 512, 2, 24},
-                                {3, 4, 1, 2048, 512, 2, 20},
-                                {3, 5, 1, 2048, 512, 2, 24},
-                                {3, 6, 1, 2048, 512, 2, 24},
-                                {3, 7, 1, 2048, 512, 2, 24},
-                                {3, 8, 1, 2048, 512, 2, 24},
-                                {3, 1, 1, 2048, 1024, 2, 40},
-                                {3, 2, 1, 2048, 1024, 2, 40},
-                                {3, 3, 1, 2048, 1024, 2, 48},
-                                {3, 4, 1, 2048, 1024, 2, 40},
-                                {3, 5, 1, 2048, 1024, 2, 48},
-                                {3, 6, 1, 2048, 1024, 2, 40},
-                                {3, 7, 1, 2048, 1024, 2, 48},
-                                {3, 8, 1, 2048, 1024, 2, 40},
-                                {3, 1, 1, 2048, 2048, 2, 80},
-                                {3, 2, 1, 2048, 2048, 2, 80},
-                                {3, 3, 1, 2048, 2048, 2, 96},
-                                {3, 4, 1, 2048, 2048, 2, 80},
-                                {3, 5, 1, 2048, 2048, 2, 80},
-                                {3, 6, 1, 2048, 2048, 2, 88},
-                                {3, 7, 1, 2048, 2048, 2, 88},
-                                {3, 8, 1, 2048, 2048, 2, 88},
-                                {3, 1, 1, 2048, 3072, 2, 120},
-                                {3, 2, 1, 2048, 3072, 2, 120},
-                                {3, 3, 1, 2048, 3072, 2, 112},
-                                {3, 4, 1, 2048, 3072, 2, 112},
-                                {3, 5, 1, 2048, 3072, 2, 112},
-                                {3, 6, 1, 2048, 3072, 1, 112},
-                                {3, 7, 1, 2048, 3072, 2, 96},
-                                {3, 8, 1, 2048, 3072, 1, 94},
-                                {3, 1, 1, 2048, 4096, 2, 128},
-                                {3, 2, 1, 2048, 4096, 2, 128},
-                                {3, 3, 1, 2048, 4096, 2, 128},
-                                {3, 4, 1, 2048, 4096, 2, 116},
-                                {3, 5, 1, 2048, 4096, 2, 124},
-                                {3, 6, 1, 2048, 4096, 1, 126},
-                                {3, 7, 1, 2048, 4096, 1, 126},
-                                {3, 8, 1, 2048, 4096, 1, 98},
-                                {3, 1, 1, 2048, 5120, 2, 120},
-                                {3, 2, 1, 2048, 5120, 2, 128},
-                                {3, 3, 1, 2048, 5120, 2, 128},
-                                {3, 4, 1, 2048, 5120, 2, 116},
-                                {3, 5, 1, 2048, 5120, 2, 118},
-                                {3, 6, 1, 2048, 5120, 1, 126},
-                                {3, 7, 1, 2048, 5120, 1, 126},
-                                {3, 8, 1, 2048, 5120, 1, 112},
-                                {3, 1, 1, 2048, 8192, 2, 128},
-                                {3, 2, 1, 2048, 8192, 3, 128},
-                                {3, 3, 1, 2048, 8192, 3, 128},
-                                {3, 4, 1, 2048, 8192, 2, 126},
-                                {3, 5, 1, 2048, 8192, 2, 124},
-                                {3, 6, 1, 2048, 8192, 1, 126},
-                                {3, 7, 1, 2048, 8192, 1, 128},
-                                {3, 8, 1, 2048, 8192, 1, 116},
-                                {3, 1, 1, 2048, 12288, 3, 128},
-                                {3, 2, 1, 2048, 12288, 3, 128},
-                                {3, 3, 1, 2048, 12288, 3, 128},
-                                {3, 4, 1, 2048, 12288, 2, 124},
-                                {3, 5, 1, 2048, 12288, 2, 122},
-                                {3, 6, 1, 2048, 12288, 1, 128},
-                                {3, 7, 1, 2048, 12288, 1, 126},
-                                {3, 8, 1, 2048, 12288, 1, 96},
-                                {3, 1, 1, 2048, 14336, 3, 128},
-                                {3, 2, 1, 2048, 14336, 3, 128},
-                                {3, 3, 1, 2048, 14336, 3, 128},
-                                {3, 4, 1, 2048, 14336, 2, 112},
-                                {3, 5, 1, 2048, 14336, 2, 112},
-                                {3, 6, 1, 2048, 14336, 1, 126},
-                                {3, 7, 1, 2048, 14336, 1, 128},
-                                {3, 8, 1, 2048, 14336, 1, 110},
-                                {3, 1, 1, 2048, 16384, 3, 128},
-                                {3, 2, 1, 2048, 16384, 3, 128},
-                                {3, 3, 1, 2048, 16384, 3, 128},
-                                {3, 4, 1, 2048, 16384, 2, 126},
-                                {3, 5, 1, 2048, 16384, 2, 128},
-                                {3, 6, 1, 2048, 16384, 1, 128},
-                                {3, 7, 1, 2048, 16384, 1, 128},
-                                {3, 8, 1, 2048, 16384, 1, 124},
-                                {3, 1, 1, 2048, 24576, 3, 128},
-                                {3, 2, 1, 2048, 24576, 3, 128},
-                                {3, 3, 1, 2048, 24576, 3, 128},
-                                {3, 4, 1, 2048, 24576, 4, 96},
-                                {3, 5, 1, 2048, 24576, 4, 98},
-                                {3, 6, 1, 2048, 24576, 1, 128},
-                                {3, 7, 1, 2048, 24576, 4, 98},
-                                {3, 8, 1, 2048, 24576, 1, 96},
-                                {3, 1, 1, 2048, 51200, 3, 128},
-                                {3, 2, 1, 2048, 51200, 3, 128},
-                                {3, 3, 1, 2048, 51200, 3, 126},
-                                {3, 4, 1, 2048, 51200, 4, 126},
-                                {3, 5, 1, 2048, 51200, 4, 100},
-                                {3, 6, 1, 2048, 51200, 4, 104},
-                                {3, 7, 1, 2048, 51200, 4, 100},
-                                {3, 8, 1, 2048, 51200, 4, 100},
-                                {3, 1, 1, 2048, 128000, 3, 128},
-                                {3, 2, 1, 2048, 128000, 3, 128},
-                                {3, 3, 1, 2048, 128000, 3, 126},
-                                {3, 4, 1, 2048, 128000, 4, 126},
-                                {3, 5, 1, 2048, 128000, 4, 128},
-                                {3, 6, 1, 2048, 128000, 4, 126},
-                                {3, 7, 1, 2048, 128000, 4, 100},
-                                {3, 8, 1, 2048, 128000, 4, 128},
-                                {3, 1, 1, 3072, 512, 2, 24},
-                                {3, 2, 1, 3072, 512, 2, 24},
-                                {3, 3, 1, 3072, 512, 2, 32},
-                                {3, 4, 1, 3072, 512, 2, 24},
-                                {3, 5, 1, 3072, 512, 2, 32},
-                                {3, 6, 1, 3072, 512, 2, 32},
-                                {3, 7, 1, 3072, 512, 2, 32},
-                                {3, 8, 1, 3072, 512, 2, 32},
-                                {3, 1, 1, 3072, 1024, 2, 48},
-                                {3, 2, 1, 3072, 1024, 2, 48},
-                                {3, 3, 1, 3072, 1024, 2, 64},
-                                {3, 4, 1, 3072, 1024, 2, 48},
-                                {3, 5, 1, 3072, 1024, 2, 56},
-                                {3, 6, 1, 3072, 1024, 2, 48},
-                                {3, 7, 1, 3072, 1024, 2, 56},
-                                {3, 8, 1, 3072, 1024, 2, 56},
-                                {3, 1, 1, 3072, 2048, 2, 96},
-                                {3, 2, 1, 3072, 2048, 2, 96},
-                                {3, 3, 1, 3072, 2048, 2, 128},
-                                {3, 4, 1, 3072, 2048, 2, 88},
-                                {3, 5, 1, 3072, 2048, 2, 96},
-                                {3, 6, 1, 3072, 2048, 2, 96},
-                                {3, 7, 1, 3072, 2048, 2, 96},
-                                {3, 8, 1, 3072, 2048, 1, 88},
-                                {3, 1, 1, 3072, 3072, 2, 128},
-                                {3, 2, 1, 3072, 3072, 2, 116},
-                                {3, 3, 1, 3072, 3072, 2, 116},
-                                {3, 4, 1, 3072, 3072, 2, 116},
-                                {3, 5, 1, 3072, 3072, 2, 118},
-                                {3, 6, 1, 3072, 3072, 1, 118},
-                                {3, 7, 1, 3072, 3072, 2, 94},
-                                {3, 8, 1, 3072, 3072, 1, 96},
-                                {3, 1, 1, 3072, 4096, 2, 128},
-                                {3, 2, 1, 3072, 4096, 2, 128},
-                                {3, 3, 1, 3072, 4096, 2, 128},
-                                {3, 4, 1, 3072, 4096, 2, 128},
-                                {3, 5, 1, 3072, 4096, 2, 128},
-                                {3, 6, 1, 3072, 4096, 1, 124},
-                                {3, 7, 1, 3072, 4096, 1, 128},
-                                {3, 8, 1, 3072, 4096, 1, 98},
-                                {3, 1, 1, 3072, 5120, 2, 128},
-                                {3, 2, 1, 3072, 5120, 2, 128},
-                                {3, 3, 1, 3072, 5120, 3, 128},
-                                {3, 4, 1, 3072, 5120, 2, 124},
-                                {3, 5, 1, 3072, 5120, 2, 120},
-                                {3, 6, 1, 3072, 5120, 1, 126},
-                                {3, 7, 1, 3072, 5120, 1, 128},
-                                {3, 8, 1, 3072, 5120, 1, 98},
-                                {3, 1, 1, 3072, 8192, 3, 128},
-                                {3, 2, 1, 3072, 8192, 3, 128},
-                                {3, 3, 1, 3072, 8192, 3, 128},
-                                {3, 4, 1, 3072, 8192, 2, 122},
-                                {3, 5, 1, 3072, 8192, 2, 126},
-                                {3, 6, 1, 3072, 8192, 1, 128},
-                                {3, 7, 1, 3072, 8192, 1, 128},
-                                {3, 8, 1, 3072, 8192, 1, 116},
-                                {3, 1, 1, 3072, 12288, 3, 128},
-                                {3, 2, 1, 3072, 12288, 3, 128},
-                                {3, 3, 1, 3072, 12288, 3, 128},
-                                {3, 4, 1, 3072, 12288, 2, 128},
-                                {3, 5, 1, 3072, 12288, 2, 128},
-                                {3, 6, 1, 3072, 12288, 1, 128},
-                                {3, 7, 1, 3072, 12288, 1, 126},
-                                {3, 8, 1, 3072, 12288, 1, 96},
-                                {3, 1, 1, 3072, 14336, 3, 128},
-                                {3, 2, 1, 3072, 14336, 3, 128},
-                                {3, 3, 1, 3072, 14336, 3, 128},
-                                {3, 4, 1, 3072, 14336, 2, 112},
-                                {3, 5, 1, 3072, 14336, 2, 112},
-                                {3, 6, 1, 3072, 14336, 1, 128},
-                                {3, 7, 1, 3072, 14336, 1, 128},
-                                {3, 8, 1, 3072, 14336, 1, 110},
-                                {3, 1, 1, 3072, 16384, 3, 128},
-                                {3, 2, 1, 3072, 16384, 3, 128},
-                                {3, 3, 1, 3072, 16384, 3, 128},
-                                {3, 4, 1, 3072, 16384, 2, 128},
-                                {3, 5, 1, 3072, 16384, 2, 128},
-                                {3, 6, 1, 3072, 16384, 1, 128},
-                                {3, 7, 1, 3072, 16384, 1, 128},
-                                {3, 8, 1, 3072, 16384, 1, 126},
-                                {3, 1, 1, 3072, 24576, 3, 128},
-                                {3, 2, 1, 3072, 24576, 3, 128},
-                                {3, 3, 1, 3072, 24576, 3, 128},
-                                {3, 4, 1, 3072, 24576, 4, 96},
-                                {3, 5, 1, 3072, 24576, 4, 96},
-                                {3, 6, 1, 3072, 24576, 1, 128},
-                                {3, 7, 1, 3072, 24576, 4, 94},
-                                {3, 8, 1, 3072, 24576, 1, 96},
-                                {3, 1, 1, 3072, 51200, 3, 128},
-                                {3, 2, 1, 3072, 51200, 3, 128},
-                                {3, 3, 1, 3072, 51200, 3, 128},
-                                {3, 4, 1, 3072, 51200, 4, 98},
-                                {3, 5, 1, 3072, 51200, 4, 104},
-                                {3, 6, 1, 3072, 51200, 4, 100},
-                                {3, 7, 1, 3072, 51200, 4, 100},
-                                {3, 8, 1, 3072, 51200, 4, 78},
-                                {3, 1, 1, 3072, 128000, 3, 128},
-                                {3, 2, 1, 3072, 128000, 3, 128},
-                                {3, 3, 1, 3072, 128000, 3, 126},
-                                {3, 4, 1, 3072, 128000, 4, 126},
-                                {3, 5, 1, 3072, 128000, 4, 126},
-                                {3, 6, 1, 3072, 128000, 4, 126},
-                                {3, 7, 1, 3072, 128000, 4, 100},
-                                {3, 8, 1, 3072, 128000, 4, 92},
-                                {3, 1, 1, 4096, 512, 2, 32},
-                                {3, 2, 1, 4096, 512, 2, 32},
-                                {3, 3, 1, 4096, 512, 2, 32},
-                                {3, 4, 1, 4096, 512, 2, 32},
-                                {3, 5, 1, 4096, 512, 2, 32},
-                                {3, 6, 1, 4096, 512, 2, 32},
-                                {3, 7, 1, 4096, 512, 2, 32},
-                                {3, 8, 1, 4096, 512, 2, 32},
-                                {3, 1, 1, 4096, 1024, 2, 64},
-                                {3, 2, 1, 4096, 1024, 2, 64},
-                                {3, 3, 1, 4096, 1024, 2, 64},
-                                {3, 4, 1, 4096, 1024, 2, 56},
-                                {3, 5, 1, 4096, 1024, 2, 64},
-                                {3, 6, 1, 4096, 1024, 2, 62},
-                                {3, 7, 1, 4096, 1024, 2, 62},
-                                {3, 8, 1, 4096, 1024, 2, 62},
-                                {3, 1, 1, 4096, 2048, 2, 128},
-                                {3, 2, 1, 4096, 2048, 2, 128},
-                                {3, 3, 1, 4096, 2048, 2, 128},
-                                {3, 4, 1, 4096, 2048, 2, 116},
-                                {3, 5, 1, 4096, 2048, 2, 116},
-                                {3, 6, 1, 4096, 2048, 2, 92},
-                                {3, 7, 1, 4096, 2048, 2, 94},
-                                {3, 8, 1, 4096, 2048, 1, 96},
-                                {3, 1, 1, 4096, 3072, 2, 128},
-                                {3, 2, 1, 4096, 3072, 2, 128},
-                                {3, 3, 1, 4096, 3072, 2, 128},
-                                {3, 4, 1, 4096, 3072, 2, 110},
-                                {3, 5, 1, 4096, 3072, 2, 110},
-                                {3, 6, 1, 4096, 3072, 1, 128},
-                                {3, 7, 1, 4096, 3072, 2, 96},
-                                {3, 8, 1, 4096, 3072, 1, 96},
-                                {3, 1, 1, 4096, 4096, 2, 128},
-                                {3, 2, 1, 4096, 4096, 2, 128},
-                                {3, 3, 1, 4096, 4096, 2, 126},
-                                {3, 4, 1, 4096, 4096, 2, 128},
-                                {3, 5, 1, 4096, 4096, 2, 126},
-                                {3, 6, 1, 4096, 4096, 1, 124},
-                                {3, 7, 1, 4096, 4096, 1, 126},
-                                {3, 8, 1, 4096, 4096, 1, 102},
-                                {3, 1, 1, 4096, 5120, 2, 128},
-                                {3, 2, 1, 4096, 5120, 2, 128},
-                                {3, 3, 1, 4096, 5120, 3, 128},
-                                {3, 4, 1, 4096, 5120, 2, 118},
-                                {3, 5, 1, 4096, 5120, 2, 128},
-                                {3, 6, 1, 4096, 5120, 1, 122},
-                                {3, 7, 1, 4096, 5120, 1, 128},
-                                {3, 8, 1, 4096, 5120, 1, 96},
-                                {3, 1, 1, 4096, 8192, 3, 128},
-                                {3, 2, 1, 4096, 8192, 3, 128},
-                                {3, 3, 1, 4096, 8192, 3, 128},
-                                {3, 4, 1, 4096, 8192, 2, 128},
-                                {3, 5, 1, 4096, 8192, 2, 128},
-                                {3, 6, 1, 4096, 8192, 1, 128},
-                                {3, 7, 1, 4096, 8192, 1, 128},
-                                {3, 8, 1, 4096, 8192, 1, 126},
-                                {3, 1, 1, 4096, 12288, 3, 128},
-                                {3, 2, 1, 4096, 12288, 3, 128},
-                                {3, 3, 1, 4096, 12288, 3, 128},
-                                {3, 4, 1, 4096, 12288, 2, 128},
-                                {3, 5, 1, 4096, 12288, 2, 128},
-                                {3, 6, 1, 4096, 12288, 1, 128},
-                                {3, 7, 1, 4096, 12288, 1, 126},
-                                {3, 8, 1, 4096, 12288, 1, 96},
-                                {3, 1, 1, 4096, 14336, 3, 128},
-                                {3, 2, 1, 4096, 14336, 3, 128},
-                                {3, 3, 1, 4096, 14336, 3, 128},
-                                {3, 4, 1, 4096, 14336, 2, 122},
-                                {3, 5, 1, 4096, 14336, 2, 112},
-                                {3, 6, 1, 4096, 14336, 1, 128},
-                                {3, 7, 1, 4096, 14336, 1, 128},
-                                {3, 8, 1, 4096, 14336, 1, 110},
-                                {3, 1, 1, 4096, 16384, 3, 128},
-                                {3, 2, 1, 4096, 16384, 3, 128},
-                                {3, 3, 1, 4096, 16384, 3, 128},
-                                {3, 4, 1, 4096, 16384, 2, 126},
-                                {3, 5, 1, 4096, 16384, 2, 128},
-                                {3, 6, 1, 4096, 16384, 1, 128},
-                                {3, 7, 1, 4096, 16384, 1, 128},
-                                {3, 8, 1, 4096, 16384, 2, 128},
-                                {3, 1, 1, 4096, 24576, 3, 128},
-                                {3, 2, 1, 4096, 24576, 3, 128},
-                                {3, 3, 1, 4096, 24576, 3, 128},
-                                {3, 4, 1, 4096, 24576, 4, 96},
-                                {3, 5, 1, 4096, 24576, 4, 96},
-                                {3, 6, 1, 4096, 24576, 1, 128},
-                                {3, 7, 1, 4096, 24576, 4, 94},
-                                {3, 8, 1, 4096, 24576, 1, 96},
-                                {3, 1, 1, 4096, 51200, 3, 128},
-                                {3, 2, 1, 4096, 51200, 3, 128},
-                                {3, 3, 1, 4096, 51200, 3, 128},
-                                {3, 4, 1, 4096, 51200, 4, 98},
-                                {3, 5, 1, 4096, 51200, 4, 102},
-                                {3, 6, 1, 4096, 51200, 4, 100},
-                                {3, 7, 1, 4096, 51200, 4, 100},
-                                {3, 8, 1, 4096, 51200, 4, 96},
-                                {3, 1, 1, 4096, 128000, 3, 128},
-                                {3, 2, 1, 4096, 128000, 3, 128},
-                                {3, 3, 1, 4096, 128000, 3, 128},
-                                {3, 4, 1, 4096, 128000, 4, 126},
-                                {3, 5, 1, 4096, 128000, 4, 126},
-                                {3, 6, 1, 4096, 128000, 4, 110},
-                                {3, 7, 1, 4096, 128000, 4, 100},
-                                {3, 8, 1, 4096, 128000, 4, 86},
-                                {3, 1, 1, 5120, 512, 2, 32},
-                                {3, 2, 1, 5120, 512, 2, 36},
-                                {3, 3, 1, 5120, 512, 2, 40},
-                                {3, 4, 1, 5120, 512, 2, 32},
-                                {3, 5, 1, 5120, 512, 2, 40},
-                                {3, 6, 1, 5120, 512, 2, 32},
-                                {3, 7, 1, 5120, 512, 2, 32},
-                                {3, 8, 1, 5120, 512, 2, 32},
-                                {3, 1, 1, 5120, 1024, 2, 72},
-                                {3, 2, 1, 5120, 1024, 2, 72},
-                                {3, 3, 1, 5120, 1024, 2, 72},
-                                {3, 4, 1, 5120, 1024, 2, 64},
-                                {3, 5, 1, 5120, 1024, 2, 72},
-                                {3, 6, 1, 5120, 1024, 2, 72},
-                                {3, 7, 1, 5120, 1024, 2, 72},
-                                {3, 8, 1, 5120, 1024, 2, 72},
-                                {3, 1, 1, 5120, 2048, 2, 128},
-                                {3, 2, 1, 5120, 2048, 2, 128},
-                                {3, 3, 1, 5120, 2048, 2, 124},
-                                {3, 4, 1, 5120, 2048, 2, 112},
-                                {3, 5, 1, 5120, 2048, 2, 110},
-                                {3, 6, 1, 5120, 2048, 2, 90},
-                                {3, 7, 1, 5120, 2048, 2, 90},
-                                {3, 8, 1, 5120, 2048, 2, 80},
-                                {3, 1, 1, 5120, 3072, 2, 128},
-                                {3, 2, 1, 5120, 3072, 2, 128},
-                                {3, 3, 1, 5120, 3072, 2, 128},
-                                {3, 4, 1, 5120, 3072, 2, 116},
-                                {3, 5, 1, 5120, 3072, 2, 120},
-                                {3, 6, 1, 5120, 3072, 1, 128},
-                                {3, 7, 1, 5120, 3072, 2, 94},
-                                {3, 8, 1, 5120, 3072, 1, 96},
-                                {3, 1, 1, 5120, 4096, 2, 128},
-                                {3, 2, 1, 5120, 4096, 2, 128},
-                                {3, 3, 1, 5120, 4096, 3, 128},
-                                {3, 4, 1, 5120, 4096, 2, 128},
-                                {3, 5, 1, 5120, 4096, 2, 126},
-                                {3, 6, 1, 5120, 4096, 1, 126},
-                                {3, 7, 1, 5120, 4096, 1, 128},
-                                {3, 8, 1, 5120, 4096, 1, 94},
-                                {3, 1, 1, 5120, 5120, 3, 128},
-                                {3, 2, 1, 5120, 5120, 3, 128},
-                                {3, 3, 1, 5120, 5120, 3, 128},
-                                {3, 4, 1, 5120, 5120, 2, 118},
-                                {3, 5, 1, 5120, 5120, 2, 116},
-                                {3, 6, 1, 5120, 5120, 1, 122},
-                                {3, 7, 1, 5120, 5120, 1, 128},
-                                {3, 8, 1, 5120, 5120, 1, 102},
-                                {3, 1, 1, 5120, 8192, 3, 128},
-                                {3, 2, 1, 5120, 8192, 3, 128},
-                                {3, 3, 1, 5120, 8192, 3, 128},
-                                {3, 4, 1, 5120, 8192, 2, 128},
-                                {3, 5, 1, 5120, 8192, 2, 128},
-                                {3, 6, 1, 5120, 8192, 1, 128},
-                                {3, 7, 1, 5120, 8192, 1, 128},
-                                {3, 8, 1, 5120, 8192, 1, 126},
-                                {3, 1, 1, 5120, 12288, 3, 128},
-                                {3, 2, 1, 5120, 12288, 3, 128},
-                                {3, 3, 1, 5120, 12288, 3, 128},
-                                {3, 4, 1, 5120, 12288, 2, 128},
-                                {3, 5, 1, 5120, 12288, 2, 122},
-                                {3, 6, 1, 5120, 12288, 1, 128},
-                                {3, 7, 1, 5120, 12288, 1, 126},
-                                {3, 8, 1, 5120, 12288, 1, 96},
-                                {3, 1, 1, 5120, 14336, 3, 128},
-                                {3, 2, 1, 5120, 14336, 3, 128},
-                                {3, 3, 1, 5120, 14336, 3, 128},
-                                {3, 4, 1, 5120, 14336, 3, 112},
-                                {3, 5, 1, 5120, 14336, 2, 112},
-                                {3, 6, 1, 5120, 14336, 1, 128},
-                                {3, 7, 1, 5120, 14336, 1, 128},
-                                {3, 8, 1, 5120, 14336, 1, 110},
-                                {3, 1, 1, 5120, 16384, 3, 128},
-                                {3, 2, 1, 5120, 16384, 3, 128},
-                                {3, 3, 1, 5120, 16384, 3, 128},
-                                {3, 4, 1, 5120, 16384, 2, 128},
-                                {3, 5, 1, 5120, 16384, 2, 128},
-                                {3, 6, 1, 5120, 16384, 1, 128},
-                                {3, 7, 1, 5120, 16384, 1, 128},
-                                {3, 8, 1, 5120, 16384, 1, 126},
-                                {3, 1, 1, 5120, 24576, 3, 128},
-                                {3, 2, 1, 5120, 24576, 3, 128},
-                                {3, 3, 1, 5120, 24576, 3, 128},
-                                {3, 4, 1, 5120, 24576, 4, 96},
-                                {3, 5, 1, 5120, 24576, 4, 96},
-                                {3, 6, 1, 5120, 24576, 1, 128},
-                                {3, 7, 1, 5120, 24576, 4, 96},
-                                {3, 8, 1, 5120, 24576, 3, 96},
-                                {3, 1, 1, 5120, 51200, 3, 128},
-                                {3, 2, 1, 5120, 51200, 3, 128},
-                                {3, 3, 1, 5120, 51200, 3, 126},
-                                {3, 4, 1, 5120, 51200, 4, 112},
-                                {3, 5, 1, 5120, 51200, 4, 100},
-                                {3, 6, 1, 5120, 51200, 4, 100},
-                                {3, 7, 1, 5120, 51200, 4, 100},
-                                {3, 8, 1, 5120, 51200, 4, 100},
-                                {3, 1, 1, 5120, 128000, 3, 128},
-                                {3, 2, 1, 5120, 128000, 3, 128},
-                                {3, 3, 1, 5120, 128000, 3, 128},
-                                {3, 4, 1, 5120, 128000, 4, 126},
-                                {3, 5, 1, 5120, 128000, 4, 126},
-                                {3, 6, 1, 5120, 128000, 4, 128},
-                                {3, 7, 1, 5120, 128000, 4, 100},
-                                {3, 8, 1, 5120, 128000, 4, 80},
-                                {3, 1, 1, 8192, 512, 2, 48},
-                                {3, 2, 1, 8192, 512, 2, 40},
-                                {3, 3, 1, 8192, 512, 2, 54},
-                                {3, 4, 1, 8192, 512, 2, 32},
-                                {3, 5, 1, 8192, 512, 2, 40},
-                                {3, 6, 1, 8192, 512, 2, 40},
-                                {3, 7, 1, 8192, 512, 2, 54},
-                                {3, 8, 1, 8192, 512, 2, 54},
-                                {3, 1, 1, 8192, 1024, 2, 86},
-                                {3, 2, 1, 8192, 1024, 2, 72},
-                                {3, 3, 1, 8192, 1024, 2, 88},
-                                {3, 4, 1, 8192, 1024, 2, 72},
-                                {3, 5, 1, 8192, 1024, 2, 86},
-                                {3, 6, 1, 8192, 1024, 2, 86},
-                                {3, 7, 1, 8192, 1024, 2, 86},
-                                {3, 8, 1, 8192, 1024, 2, 76},
-                                {3, 1, 1, 8192, 2048, 2, 128},
-                                {3, 2, 1, 8192, 2048, 2, 128},
-                                {3, 3, 1, 8192, 2048, 2, 128},
-                                {3, 4, 1, 8192, 2048, 2, 112},
-                                {3, 5, 1, 8192, 2048, 2, 114},
-                                {3, 6, 1, 8192, 2048, 1, 126},
-                                {3, 7, 1, 8192, 2048, 2, 96},
-                                {3, 8, 1, 8192, 2048, 1, 96},
-                                {3, 1, 1, 8192, 3072, 2, 128},
-                                {3, 2, 1, 8192, 3072, 2, 128},
-                                {3, 3, 1, 8192, 3072, 3, 128},
-                                {3, 4, 1, 8192, 3072, 2, 118},
-                                {3, 5, 1, 8192, 3072, 2, 122},
-                                {3, 6, 1, 8192, 3072, 1, 126},
-                                {3, 7, 1, 8192, 3072, 2, 96},
-                                {3, 8, 1, 8192, 3072, 1, 96},
-                                {3, 1, 1, 8192, 4096, 3, 128},
-                                {3, 2, 1, 8192, 4096, 3, 128},
-                                {3, 3, 1, 8192, 4096, 3, 126},
-                                {3, 4, 1, 8192, 4096, 2, 128},
-                                {3, 5, 1, 8192, 4096, 2, 126},
-                                {3, 6, 1, 8192, 4096, 1, 128},
-                                {3, 7, 1, 8192, 4096, 1, 126},
-                                {3, 8, 1, 8192, 4096, 1, 98},
-                                {3, 1, 1, 8192, 5120, 3, 128},
-                                {3, 2, 1, 8192, 5120, 3, 128},
-                                {3, 3, 1, 8192, 5120, 3, 128},
-                                {3, 4, 1, 8192, 5120, 2, 118},
-                                {3, 5, 1, 8192, 5120, 2, 120},
-                                {3, 6, 1, 8192, 5120, 1, 126},
-                                {3, 7, 1, 8192, 5120, 1, 126},
-                                {3, 8, 1, 8192, 5120, 1, 96},
-                                {3, 1, 1, 8192, 8192, 3, 128},
-                                {3, 2, 1, 8192, 8192, 3, 128},
-                                {3, 3, 1, 8192, 8192, 3, 128},
-                                {3, 4, 1, 8192, 8192, 2, 128},
-                                {3, 5, 1, 8192, 8192, 2, 128},
-                                {3, 6, 1, 8192, 8192, 1, 128},
-                                {3, 7, 1, 8192, 8192, 1, 128},
-                                {3, 8, 1, 8192, 8192, 1, 126},
-                                {3, 1, 1, 8192, 12288, 3, 128},
-                                {3, 2, 1, 8192, 12288, 3, 128},
-                                {3, 3, 1, 8192, 12288, 3, 128},
-                                {3, 4, 1, 8192, 12288, 3, 96},
-                                {3, 5, 1, 8192, 12288, 4, 96},
-                                {3, 6, 1, 8192, 12288, 1, 128},
-                                {3, 7, 1, 8192, 12288, 1, 126},
-                                {3, 8, 1, 8192, 12288, 1, 96},
-                                {3, 1, 1, 8192, 14336, 3, 128},
-                                {3, 2, 1, 8192, 14336, 3, 128},
-                                {3, 3, 1, 8192, 14336, 3, 128},
-                                {3, 4, 1, 8192, 14336, 3, 112},
-                                {3, 5, 1, 8192, 14336, 2, 112},
-                                {3, 6, 1, 8192, 14336, 1, 128},
-                                {3, 7, 1, 8192, 14336, 1, 128},
-                                {3, 8, 1, 8192, 14336, 1, 114},
-                                {3, 1, 1, 8192, 16384, 3, 128},
-                                {3, 2, 1, 8192, 16384, 3, 128},
-                                {3, 3, 1, 8192, 16384, 3, 128},
-                                {3, 4, 1, 8192, 16384, 3, 126},
-                                {3, 5, 1, 8192, 16384, 3, 128},
-                                {3, 6, 1, 8192, 16384, 1, 128},
-                                {3, 7, 1, 8192, 16384, 1, 128},
-                                {3, 8, 1, 8192, 16384, 2, 128},
-                                {3, 1, 1, 8192, 24576, 3, 128},
-                                {3, 2, 1, 8192, 24576, 3, 128},
-                                {3, 3, 1, 8192, 24576, 3, 128},
-                                {3, 4, 1, 8192, 24576, 4, 96},
-                                {3, 5, 1, 8192, 24576, 4, 96},
-                                {3, 6, 1, 8192, 24576, 1, 128},
-                                {3, 7, 1, 8192, 24576, 4, 96},
-                                {3, 8, 1, 8192, 24576, 4, 96},
-                                {3, 1, 1, 8192, 51200, 3, 128},
-                                {3, 2, 1, 8192, 51200, 3, 128},
-                                {3, 3, 1, 8192, 51200, 3, 128},
-                                {3, 4, 1, 8192, 51200, 4, 98},
-                                {3, 5, 1, 8192, 51200, 4, 100},
-                                {3, 6, 1, 8192, 51200, 4, 114},
-                                {3, 7, 1, 8192, 51200, 4, 80},
-                                {3, 8, 1, 8192, 51200, 4, 100},
-                                {3, 1, 1, 8192, 128000, 3, 128},
-                                {3, 2, 1, 8192, 128000, 3, 128},
-                                {3, 3, 1, 8192, 128000, 3, 128},
-                                {3, 4, 1, 8192, 128000, 4, 126},
-                                {3, 5, 1, 8192, 128000, 4, 124},
-                                {3, 6, 1, 8192, 128000, 4, 100},
-                                {3, 7, 1, 8192, 128000, 4, 100},
-                                {3, 8, 1, 8192, 128000, 4, 86},
-                                {3, 1, 1, 12288, 512, 2, 48},
-                                {3, 2, 1, 12288, 512, 2, 52},
-                                {3, 3, 1, 12288, 512, 2, 62},
-                                {3, 4, 1, 12288, 512, 2, 52},
-                                {3, 5, 1, 12288, 512, 2, 56},
-                                {3, 6, 1, 12288, 512, 2, 56},
-                                {3, 7, 1, 12288, 512, 2, 64},
-                                {3, 8, 1, 12288, 512, 2, 62},
-                                {3, 1, 1, 12288, 1024, 2, 102},
-                                {3, 2, 1, 12288, 1024, 2, 104},
-                                {3, 3, 1, 12288, 1024, 2, 124},
-                                {3, 4, 1, 12288, 1024, 2, 96},
-                                {3, 5, 1, 12288, 1024, 2, 96},
-                                {3, 6, 1, 12288, 1024, 2, 96},
-                                {3, 7, 1, 12288, 1024, 2, 88},
-                                {3, 8, 1, 12288, 1024, 2, 76},
-                                {3, 1, 1, 12288, 2048, 2, 128},
-                                {3, 2, 1, 12288, 2048, 2, 128},
-                                {3, 3, 1, 12288, 2048, 2, 128},
-                                {3, 4, 1, 12288, 2048, 2, 112},
-                                {3, 5, 1, 12288, 2048, 2, 114},
-                                {3, 6, 1, 12288, 2048, 2, 94},
-                                {3, 7, 1, 12288, 2048, 2, 96},
-                                {3, 8, 1, 12288, 2048, 1, 96},
-                                {3, 1, 1, 12288, 3072, 3, 128},
-                                {3, 2, 1, 12288, 3072, 3, 128},
-                                {3, 3, 1, 12288, 3072, 3, 128},
-                                {3, 4, 1, 12288, 3072, 2, 118},
-                                {3, 5, 1, 12288, 3072, 2, 120},
-                                {3, 6, 1, 12288, 3072, 1, 128},
-                                {3, 7, 1, 12288, 3072, 2, 96},
-                                {3, 8, 1, 12288, 3072, 1, 96},
-                                {3, 1, 1, 12288, 4096, 3, 128},
-                                {3, 2, 1, 12288, 4096, 3, 128},
-                                {3, 3, 1, 12288, 4096, 3, 128},
-                                {3, 4, 1, 12288, 4096, 2, 128},
-                                {3, 5, 1, 12288, 4096, 2, 128},
-                                {3, 6, 1, 12288, 4096, 1, 128},
-                                {3, 7, 1, 12288, 4096, 1, 128},
-                                {3, 8, 1, 12288, 4096, 1, 98},
-                                {3, 1, 1, 12288, 5120, 3, 128},
-                                {3, 2, 1, 12288, 5120, 3, 128},
-                                {3, 3, 1, 12288, 5120, 3, 126},
-                                {3, 4, 1, 12288, 5120, 2, 120},
-                                {3, 5, 1, 12288, 5120, 2, 120},
-                                {3, 6, 1, 12288, 5120, 1, 120},
-                                {3, 7, 1, 12288, 5120, 1, 126},
-                                {3, 8, 1, 12288, 5120, 1, 120},
-                                {3, 1, 1, 12288, 8192, 3, 128},
-                                {3, 2, 1, 12288, 8192, 3, 128},
-                                {3, 3, 1, 12288, 8192, 3, 128},
-                                {3, 4, 1, 12288, 8192, 2, 128},
-                                {3, 5, 1, 12288, 8192, 2, 128},
-                                {3, 6, 1, 12288, 8192, 1, 128},
-                                {3, 7, 1, 12288, 8192, 1, 128},
-                                {3, 8, 1, 12288, 8192, 1, 116},
-                                {3, 1, 1, 12288, 12288, 3, 128},
-                                {3, 2, 1, 12288, 12288, 3, 128},
-                                {3, 3, 1, 12288, 12288, 3, 128},
-                                {3, 4, 1, 12288, 12288, 3, 96},
-                                {3, 5, 1, 12288, 12288, 4, 96},
-                                {3, 6, 1, 12288, 12288, 1, 128},
-                                {3, 7, 1, 12288, 12288, 1, 126},
-                                {3, 8, 1, 12288, 12288, 1, 96},
-                                {3, 1, 1, 12288, 14336, 3, 128},
-                                {3, 2, 1, 12288, 14336, 3, 128},
-                                {3, 3, 1, 12288, 14336, 3, 126},
-                                {3, 4, 1, 12288, 14336, 3, 112},
-                                {3, 5, 1, 12288, 14336, 3, 112},
-                                {3, 6, 1, 12288, 14336, 4, 112},
-                                {3, 7, 1, 12288, 14336, 4, 112},
-                                {3, 8, 1, 12288, 14336, 2, 112},
-                                {3, 1, 1, 12288, 16384, 3, 128},
-                                {3, 2, 1, 12288, 16384, 3, 128},
-                                {3, 3, 1, 12288, 16384, 3, 128},
-                                {3, 4, 1, 12288, 16384, 3, 128},
-                                {3, 5, 1, 12288, 16384, 3, 128},
-                                {3, 6, 1, 12288, 16384, 3, 128},
-                                {3, 7, 1, 12288, 16384, 1, 128},
-                                {3, 8, 1, 12288, 16384, 2, 128},
-                                {3, 1, 1, 12288, 24576, 3, 128},
-                                {3, 2, 1, 12288, 24576, 3, 128},
-                                {3, 3, 1, 12288, 24576, 3, 128},
-                                {3, 4, 1, 12288, 24576, 4, 96},
-                                {3, 5, 1, 12288, 24576, 4, 96},
-                                {3, 6, 1, 12288, 24576, 4, 96},
-                                {3, 7, 1, 12288, 24576, 4, 96},
-                                {3, 8, 1, 12288, 24576, 3, 96},
-                                {3, 1, 1, 12288, 51200, 3, 128},
-                                {3, 2, 1, 12288, 51200, 3, 128},
-                                {3, 3, 1, 12288, 51200, 3, 128},
-                                {3, 4, 1, 12288, 51200, 4, 112},
-                                {3, 5, 1, 12288, 51200, 4, 114},
-                                {3, 6, 1, 12288, 51200, 4, 128},
-                                {3, 7, 1, 12288, 51200, 4, 100},
-                                {3, 8, 1, 12288, 51200, 4, 100},
-                                {3, 1, 1, 12288, 128000, 3, 128},
-                                {3, 2, 1, 12288, 128000, 3, 128},
-                                {3, 3, 1, 12288, 128000, 3, 128},
-                                {3, 4, 1, 12288, 128000, 4, 124},
-                                {3, 5, 1, 12288, 128000, 4, 126},
-                                {3, 6, 1, 12288, 128000, 4, 124},
-                                {3, 7, 1, 12288, 128000, 4, 100},
-                                {3, 8, 1, 12288, 128000, 4, 118},
-                                {3, 1, 1, 14336, 512, 2, 60},
-                                {3, 2, 1, 14336, 512, 2, 56},
-                                {3, 3, 1, 14336, 512, 2, 64},
-                                {3, 4, 1, 14336, 512, 2, 56},
-                                {3, 5, 1, 14336, 512, 2, 56},
-                                {3, 6, 1, 14336, 512, 2, 58},
-                                {3, 7, 1, 14336, 512, 2, 62},
-                                {3, 8, 1, 14336, 512, 2, 62},
-                                {3, 1, 1, 14336, 1024, 2, 112},
-                                {3, 2, 1, 14336, 1024, 2, 112},
-                                {3, 3, 1, 14336, 1024, 2, 128},
-                                {3, 4, 1, 14336, 1024, 2, 96},
-                                {3, 5, 1, 14336, 1024, 2, 106},
-                                {3, 6, 1, 14336, 1024, 2, 92},
-                                {3, 7, 1, 14336, 1024, 2, 92},
-                                {3, 8, 1, 14336, 1024, 2, 72},
-                                {3, 1, 1, 14336, 2048, 2, 128},
-                                {3, 2, 1, 14336, 2048, 2, 128},
-                                {3, 3, 1, 14336, 2048, 2, 128},
-                                {3, 4, 1, 14336, 2048, 2, 112},
-                                {3, 5, 1, 14336, 2048, 2, 114},
-                                {3, 6, 1, 14336, 2048, 2, 96},
-                                {3, 7, 1, 14336, 2048, 2, 96},
-                                {3, 8, 1, 14336, 2048, 1, 96},
-                                {3, 1, 1, 14336, 3072, 3, 128},
-                                {3, 2, 1, 14336, 3072, 3, 128},
-                                {3, 3, 1, 14336, 3072, 3, 128},
-                                {3, 4, 1, 14336, 3072, 2, 120},
-                                {3, 5, 1, 14336, 3072, 2, 120},
-                                {3, 6, 1, 14336, 3072, 1, 126},
-                                {3, 7, 1, 14336, 3072, 2, 96},
-                                {3, 8, 1, 14336, 3072, 1, 96},
-                                {3, 1, 1, 14336, 4096, 3, 128},
-                                {3, 2, 1, 14336, 4096, 3, 128},
-                                {3, 3, 1, 14336, 4096, 3, 128},
-                                {3, 4, 1, 14336, 4096, 2, 128},
-                                {3, 5, 1, 14336, 4096, 2, 128},
-                                {3, 6, 1, 14336, 4096, 1, 128},
-                                {3, 7, 1, 14336, 4096, 1, 128},
-                                {3, 8, 1, 14336, 4096, 1, 96},
-                                {3, 1, 1, 14336, 5120, 3, 128},
-                                {3, 2, 1, 14336, 5120, 3, 128},
-                                {3, 3, 1, 14336, 5120, 3, 128},
-                                {3, 4, 1, 14336, 5120, 2, 120},
-                                {3, 5, 1, 14336, 5120, 2, 120},
-                                {3, 6, 1, 14336, 5120, 1, 126},
-                                {3, 7, 1, 14336, 5120, 1, 128},
-                                {3, 8, 1, 14336, 5120, 1, 96},
-                                {3, 1, 1, 14336, 8192, 3, 128},
-                                {3, 2, 1, 14336, 8192, 3, 128},
-                                {3, 3, 1, 14336, 8192, 3, 128},
-                                {3, 4, 1, 14336, 8192, 2, 128},
-                                {3, 5, 1, 14336, 8192, 2, 128},
-                                {3, 6, 1, 14336, 8192, 1, 128},
-                                {3, 7, 1, 14336, 8192, 1, 128},
-                                {3, 8, 1, 14336, 8192, 2, 128},
-                                {3, 1, 1, 14336, 12288, 3, 128},
-                                {3, 2, 1, 14336, 12288, 3, 128},
-                                {3, 3, 1, 14336, 12288, 3, 128},
-                                {3, 4, 1, 14336, 12288, 3, 96},
-                                {3, 5, 1, 14336, 12288, 4, 96},
-                                {3, 6, 1, 14336, 12288, 1, 128},
-                                {3, 7, 1, 14336, 12288, 4, 96},
-                                {3, 8, 1, 14336, 12288, 1, 96},
-                                {3, 1, 1, 14336, 14336, 3, 128},
-                                {3, 2, 1, 14336, 14336, 3, 128},
-                                {3, 3, 1, 14336, 14336, 3, 128},
-                                {3, 4, 1, 14336, 14336, 3, 112},
-                                {3, 5, 1, 14336, 14336, 3, 112},
-                                {3, 6, 1, 14336, 14336, 4, 112},
-                                {3, 7, 1, 14336, 14336, 4, 112},
-                                {3, 8, 1, 14336, 14336, 3, 112},
-                                {3, 1, 1, 14336, 16384, 3, 128},
-                                {3, 2, 1, 14336, 16384, 3, 128},
-                                {3, 3, 1, 14336, 16384, 3, 128},
-                                {3, 4, 1, 14336, 16384, 3, 128},
-                                {3, 5, 1, 14336, 16384, 3, 128},
-                                {3, 6, 1, 14336, 16384, 3, 128},
-                                {3, 7, 1, 14336, 16384, 1, 128},
-                                {3, 8, 1, 14336, 16384, 3, 96},
-                                {3, 1, 1, 14336, 24576, 3, 128},
-                                {3, 2, 1, 14336, 24576, 3, 128},
-                                {3, 3, 1, 14336, 24576, 3, 128},
-                                {3, 4, 1, 14336, 24576, 4, 96},
-                                {3, 5, 1, 14336, 24576, 4, 96},
-                                {3, 6, 1, 14336, 24576, 4, 96},
-                                {3, 7, 1, 14336, 24576, 4, 96},
-                                {3, 8, 1, 14336, 24576, 3, 96},
-                                {3, 1, 1, 14336, 51200, 3, 128},
-                                {3, 2, 1, 14336, 51200, 3, 128},
-                                {3, 3, 1, 14336, 51200, 3, 128},
-                                {3, 4, 1, 14336, 51200, 4, 112},
-                                {3, 5, 1, 14336, 51200, 4, 114},
-                                {3, 6, 1, 14336, 51200, 4, 128},
-                                {3, 7, 1, 14336, 51200, 4, 100},
-                                {3, 8, 1, 14336, 51200, 4, 100},
-                                {3, 1, 1, 14336, 128000, 3, 128},
-                                {3, 2, 1, 14336, 128000, 3, 128},
-                                {3, 3, 1, 14336, 128000, 3, 128},
-                                {3, 4, 1, 14336, 128000, 4, 124},
-                                {3, 5, 1, 14336, 128000, 4, 126},
-                                {3, 6, 1, 14336, 128000, 4, 100},
-                                {3, 7, 1, 14336, 128000, 4, 100},
-                                {3, 8, 1, 14336, 128000, 4, 94},
-                                {3, 1, 1, 16384, 512, 2, 62},
-                                {3, 2, 1, 16384, 512, 2, 62},
-                                {3, 3, 1, 16384, 512, 2, 64},
-                                {3, 4, 1, 16384, 512, 2, 56},
-                                {3, 5, 1, 16384, 512, 2, 64},
-                                {3, 6, 1, 16384, 512, 2, 64},
-                                {3, 7, 1, 16384, 512, 2, 64},
-                                {3, 8, 1, 16384, 512, 2, 66},
-                                {3, 1, 1, 16384, 1024, 2, 128},
-                                {3, 2, 1, 16384, 1024, 2, 104},
-                                {3, 3, 1, 16384, 1024, 2, 126},
-                                {3, 4, 1, 16384, 1024, 2, 96},
-                                {3, 5, 1, 16384, 1024, 2, 108},
-                                {3, 6, 1, 16384, 1024, 2, 96},
-                                {3, 7, 1, 16384, 1024, 2, 88},
-                                {3, 8, 1, 16384, 1024, 2, 80},
-                                {3, 1, 1, 16384, 2048, 2, 128},
-                                {3, 2, 1, 16384, 2048, 2, 128},
-                                {3, 3, 1, 16384, 2048, 3, 126},
-                                {3, 4, 1, 16384, 2048, 2, 128},
-                                {3, 5, 1, 16384, 2048, 2, 126},
-                                {3, 6, 1, 16384, 2048, 2, 96},
-                                {3, 7, 1, 16384, 2048, 1, 128},
-                                {3, 8, 1, 16384, 2048, 1, 96},
-                                {3, 1, 1, 16384, 3072, 3, 128},
-                                {3, 2, 1, 16384, 3072, 3, 128},
-                                {3, 3, 1, 16384, 3072, 3, 128},
-                                {3, 4, 1, 16384, 3072, 2, 128},
-                                {3, 5, 1, 16384, 3072, 2, 120},
-                                {3, 6, 1, 16384, 3072, 1, 128},
-                                {3, 7, 1, 16384, 3072, 2, 96},
-                                {3, 8, 1, 16384, 3072, 1, 96},
-                                {3, 1, 1, 16384, 4096, 3, 128},
-                                {3, 2, 1, 16384, 4096, 3, 128},
-                                {3, 3, 1, 16384, 4096, 3, 128},
-                                {3, 4, 1, 16384, 4096, 2, 128},
-                                {3, 5, 1, 16384, 4096, 2, 128},
-                                {3, 6, 1, 16384, 4096, 1, 124},
-                                {3, 7, 1, 16384, 4096, 1, 128},
-                                {3, 8, 1, 16384, 4096, 1, 96},
-                                {3, 1, 1, 16384, 5120, 3, 128},
-                                {3, 2, 1, 16384, 5120, 3, 128},
-                                {3, 3, 1, 16384, 5120, 3, 128},
-                                {3, 4, 1, 16384, 5120, 2, 120},
-                                {3, 5, 1, 16384, 5120, 2, 120},
-                                {3, 6, 1, 16384, 5120, 1, 120},
-                                {3, 7, 1, 16384, 5120, 1, 128},
-                                {3, 8, 1, 16384, 5120, 1, 96},
-                                {3, 1, 1, 16384, 8192, 3, 128},
-                                {3, 2, 1, 16384, 8192, 3, 128},
-                                {3, 3, 1, 16384, 8192, 3, 128},
-                                {3, 4, 1, 16384, 8192, 2, 128},
-                                {3, 5, 1, 16384, 8192, 2, 128},
-                                {3, 6, 1, 16384, 8192, 1, 128},
-                                {3, 7, 1, 16384, 8192, 1, 128},
-                                {3, 8, 1, 16384, 8192, 2, 128},
-                                {3, 1, 1, 16384, 12288, 3, 128},
-                                {3, 2, 1, 16384, 12288, 3, 128},
-                                {3, 3, 1, 16384, 12288, 3, 128},
-                                {3, 4, 1, 16384, 12288, 3, 96},
-                                {3, 5, 1, 16384, 12288, 4, 96},
-                                {3, 6, 1, 16384, 12288, 1, 128},
-                                {3, 7, 1, 16384, 12288, 4, 96},
-                                {3, 8, 1, 16384, 12288, 1, 96},
-                                {3, 1, 1, 16384, 14336, 3, 128},
-                                {3, 2, 1, 16384, 14336, 3, 128},
-                                {3, 3, 1, 16384, 14336, 3, 126},
-                                {3, 4, 1, 16384, 14336, 3, 112},
-                                {3, 5, 1, 16384, 14336, 3, 112},
-                                {3, 6, 1, 16384, 14336, 3, 112},
-                                {3, 7, 1, 16384, 14336, 4, 112},
-                                {3, 8, 1, 16384, 14336, 2, 112},
-                                {3, 1, 1, 16384, 16384, 3, 128},
-                                {3, 2, 1, 16384, 16384, 3, 128},
-                                {3, 3, 1, 16384, 16384, 3, 128},
-                                {3, 4, 1, 16384, 16384, 3, 128},
-                                {3, 5, 1, 16384, 16384, 3, 128},
-                                {3, 6, 1, 16384, 16384, 3, 128},
-                                {3, 7, 1, 16384, 16384, 1, 128},
-                                {3, 8, 1, 16384, 16384, 3, 96},
-                                {3, 1, 1, 16384, 24576, 3, 128},
-                                {3, 2, 1, 16384, 24576, 3, 128},
-                                {3, 3, 1, 16384, 24576, 3, 128},
-                                {3, 4, 1, 16384, 24576, 4, 96},
-                                {3, 5, 1, 16384, 24576, 4, 96},
-                                {3, 6, 1, 16384, 24576, 4, 96},
-                                {3, 7, 1, 16384, 24576, 4, 96},
-                                {3, 8, 1, 16384, 24576, 3, 96},
-                                {3, 1, 1, 16384, 51200, 3, 128},
-                                {3, 2, 1, 16384, 51200, 3, 128},
-                                {3, 3, 1, 16384, 51200, 3, 128},
-                                {3, 4, 1, 16384, 51200, 4, 100},
-                                {3, 5, 1, 16384, 51200, 4, 120},
-                                {3, 6, 1, 16384, 51200, 4, 120},
-                                {3, 7, 1, 16384, 51200, 4, 100},
-                                {3, 8, 1, 16384, 51200, 4, 100},
-                                {3, 1, 1, 16384, 128000, 3, 128},
-                                {3, 2, 1, 16384, 128000, 3, 128},
-                                {3, 3, 1, 16384, 128000, 3, 128},
-                                {3, 4, 1, 16384, 128000, 4, 126},
-                                {3, 5, 1, 16384, 128000, 4, 126},
-                                {3, 6, 1, 16384, 128000, 4, 116},
-                                {3, 7, 1, 16384, 128000, 4, 100},
-                                {3, 8, 1, 16384, 128000, 4, 86},
-                                {3, 1, 1, 24576, 512, 2, 72},
-                                {3, 2, 1, 24576, 512, 2, 72},
-                                {3, 3, 1, 24576, 512, 2, 84},
-                                {3, 4, 1, 24576, 512, 2, 72},
-                                {3, 5, 1, 24576, 512, 2, 84},
-                                {3, 6, 1, 24576, 512, 2, 80},
-                                {3, 7, 1, 24576, 512, 2, 84},
-                                {3, 8, 1, 24576, 512, 2, 72},
-                                {3, 1, 1, 24576, 1024, 2, 128},
-                                {3, 2, 1, 24576, 1024, 2, 126},
-                                {3, 3, 1, 24576, 1024, 2, 128},
-                                {3, 4, 1, 24576, 1024, 2, 112},
-                                {3, 5, 1, 24576, 1024, 2, 108},
-                                {3, 6, 1, 24576, 1024, 2, 96},
-                                {3, 7, 1, 24576, 1024, 2, 96},
-                                {3, 8, 1, 24576, 1024, 2, 80},
-                                {3, 1, 1, 24576, 2048, 2, 128},
-                                {3, 2, 1, 24576, 2048, 2, 128},
-                                {3, 3, 1, 24576, 2048, 3, 128},
-                                {3, 4, 1, 24576, 2048, 2, 128},
-                                {3, 5, 1, 24576, 2048, 2, 126},
-                                {3, 6, 1, 24576, 2048, 2, 96},
-                                {3, 7, 1, 24576, 2048, 2, 96},
-                                {3, 8, 1, 24576, 2048, 1, 96},
-                                {3, 1, 1, 24576, 3072, 3, 128},
-                                {3, 2, 1, 24576, 3072, 3, 128},
-                                {3, 3, 1, 24576, 3072, 3, 128},
-                                {3, 4, 1, 24576, 3072, 2, 128},
-                                {3, 5, 1, 24576, 3072, 2, 120},
-                                {3, 6, 1, 24576, 3072, 1, 128},
-                                {3, 7, 1, 24576, 3072, 2, 96},
-                                {3, 8, 1, 24576, 3072, 1, 96},
-                                {3, 1, 1, 24576, 4096, 3, 128},
-                                {3, 2, 1, 24576, 4096, 3, 128},
-                                {3, 3, 1, 24576, 4096, 3, 128},
-                                {3, 4, 1, 24576, 4096, 2, 128},
-                                {3, 5, 1, 24576, 4096, 2, 128},
-                                {3, 6, 1, 24576, 4096, 1, 128},
-                                {3, 7, 1, 24576, 4096, 1, 128},
-                                {3, 8, 1, 24576, 4096, 1, 96},
-                                {3, 1, 1, 24576, 5120, 3, 128},
-                                {3, 2, 1, 24576, 5120, 3, 128},
-                                {3, 3, 1, 24576, 5120, 3, 128},
-                                {3, 4, 1, 24576, 5120, 2, 120},
-                                {3, 5, 1, 24576, 5120, 2, 120},
-                                {3, 6, 1, 24576, 5120, 2, 120},
-                                {3, 7, 1, 24576, 5120, 2, 120},
-                                {3, 8, 1, 24576, 5120, 1, 96},
-                                {3, 1, 1, 24576, 8192, 3, 128},
-                                {3, 2, 1, 24576, 8192, 3, 128},
-                                {3, 3, 1, 24576, 8192, 3, 128},
-                                {3, 4, 1, 24576, 8192, 2, 128},
-                                {3, 5, 1, 24576, 8192, 2, 128},
-                                {3, 6, 1, 24576, 8192, 1, 128},
-                                {3, 7, 1, 24576, 8192, 1, 128},
-                                {3, 8, 1, 24576, 8192, 2, 128},
-                                {3, 1, 1, 24576, 12288, 3, 128},
-                                {3, 2, 1, 24576, 12288, 3, 128},
-                                {3, 3, 1, 24576, 12288, 3, 128},
-                                {3, 4, 1, 24576, 12288, 3, 96},
-                                {3, 5, 1, 24576, 12288, 4, 120},
-                                {3, 6, 1, 24576, 12288, 4, 72},
-                                {3, 7, 1, 24576, 12288, 4, 96},
-                                {3, 8, 1, 24576, 12288, 1, 96},
-                                {3, 1, 1, 24576, 14336, 3, 128},
-                                {3, 2, 1, 24576, 14336, 3, 128},
-                                {3, 3, 1, 24576, 14336, 3, 126},
-                                {3, 4, 1, 24576, 14336, 3, 112},
-                                {3, 5, 1, 24576, 14336, 4, 112},
-                                {3, 6, 1, 24576, 14336, 4, 112},
-                                {3, 7, 1, 24576, 14336, 4, 112},
-                                {3, 8, 1, 24576, 14336, 3, 112},
-                                {3, 1, 1, 24576, 16384, 3, 128},
-                                {3, 2, 1, 24576, 16384, 3, 128},
-                                {3, 3, 1, 24576, 16384, 3, 128},
-                                {3, 4, 1, 24576, 16384, 4, 96},
-                                {3, 5, 1, 24576, 16384, 3, 128},
-                                {3, 6, 1, 24576, 16384, 4, 128},
-                                {3, 7, 1, 24576, 16384, 1, 128},
-                                {3, 8, 1, 24576, 16384, 3, 96},
-                                {3, 1, 1, 24576, 24576, 3, 128},
-                                {3, 2, 1, 24576, 24576, 3, 128},
-                                {3, 3, 1, 24576, 24576, 3, 128},
-                                {3, 4, 1, 24576, 24576, 4, 96},
-                                {3, 5, 1, 24576, 24576, 4, 96},
-                                {3, 6, 1, 24576, 24576, 4, 96},
-                                {3, 7, 1, 24576, 24576, 4, 96},
-                                {3, 8, 1, 24576, 24576, 3, 96},
-                                {3, 1, 1, 24576, 51200, 3, 128},
-                                {3, 2, 1, 24576, 51200, 3, 128},
-                                {3, 3, 1, 24576, 51200, 3, 126},
-                                {3, 4, 1, 24576, 51200, 3, 120},
-                                {3, 5, 1, 24576, 51200, 4, 126},
-                                {3, 6, 1, 24576, 51200, 4, 128},
-                                {3, 7, 1, 24576, 51200, 4, 100},
-                                {3, 8, 1, 24576, 51200, 4, 100},
-                                {3, 1, 1, 24576, 128000, 3, 128},
-                                {3, 2, 1, 24576, 128000, 3, 128},
-                                {3, 3, 1, 24576, 128000, 3, 128},
-                                {3, 4, 1, 24576, 128000, 3, 124},
-                                {3, 5, 1, 24576, 128000, 4, 126},
-                                {3, 6, 1, 24576, 128000, 4, 126},
-                                {3, 7, 1, 24576, 128000, 4, 100},
-                                {3, 8, 1, 24576, 128000, 4, 126},
-                                {2, 1, 1, 128, 512, 1, 8},
-                                {2, 2, 1, 128, 512, 1, 8},
-                                {2, 3, 1, 128, 512, 1, 8},
-                                {2, 4, 1, 128, 512, 1, 8},
-                                {2, 5, 1, 128, 512, 1, 8},
-                                {2, 6, 1, 128, 512, 1, 8},
-                                {2, 7, 1, 128, 512, 1, 8},
-                                {2, 8, 1, 128, 512, 1, 8},
-                                {2, 1, 1, 128, 1024, 1, 16},
-                                {2, 2, 1, 128, 1024, 1, 16},
-                                {2, 3, 1, 128, 1024, 1, 16},
-                                {2, 4, 1, 128, 1024, 1, 16},
-                                {2, 5, 1, 128, 1024, 1, 16},
-                                {2, 6, 1, 128, 1024, 1, 16},
-                                {2, 7, 1, 128, 1024, 1, 16},
-                                {2, 8, 1, 128, 1024, 1, 16},
-                                {2, 1, 1, 128, 2048, 1, 32},
-                                {2, 2, 1, 128, 2048, 1, 32},
-                                {2, 3, 1, 128, 2048, 1, 32},
-                                {2, 4, 1, 128, 2048, 1, 32},
-                                {2, 5, 1, 128, 2048, 1, 32},
-                                {2, 6, 1, 128, 2048, 1, 32},
-                                {2, 7, 1, 128, 2048, 1, 32},
-                                {2, 8, 1, 128, 2048, 1, 32},
-                                {2, 1, 1, 128, 3072, 1, 48},
-                                {2, 2, 1, 128, 3072, 1, 48},
-                                {2, 3, 1, 128, 3072, 1, 48},
-                                {2, 4, 1, 128, 3072, 1, 48},
-                                {2, 5, 1, 128, 3072, 1, 48},
-                                {2, 6, 1, 128, 3072, 1, 48},
-                                {2, 7, 1, 128, 3072, 1, 48},
-                                {2, 8, 1, 128, 3072, 1, 48},
-                                {2, 1, 1, 128, 4096, 1, 64},
-                                {2, 2, 1, 128, 4096, 1, 64},
-                                {2, 3, 1, 128, 4096, 1, 64},
-                                {2, 4, 1, 128, 4096, 1, 64},
-                                {2, 5, 1, 128, 4096, 1, 64},
-                                {2, 6, 1, 128, 4096, 1, 64},
-                                {2, 7, 1, 128, 4096, 1, 64},
-                                {2, 8, 1, 128, 4096, 1, 64},
-                                {2, 1, 1, 128, 5120, 1, 80},
-                                {2, 2, 1, 128, 5120, 1, 80},
-                                {2, 3, 1, 128, 5120, 1, 80},
-                                {2, 4, 1, 128, 5120, 1, 80},
-                                {2, 5, 1, 128, 5120, 1, 80},
-                                {2, 6, 1, 128, 5120, 1, 80},
-                                {2, 7, 1, 128, 5120, 1, 64},
-                                {2, 8, 1, 128, 5120, 1, 80},
-                                {2, 1, 1, 128, 8192, 1, 64},
-                                {2, 2, 1, 128, 8192, 1, 64},
-                                {2, 3, 1, 128, 8192, 1, 64},
-                                {2, 4, 1, 128, 8192, 1, 64},
-                                {2, 5, 1, 128, 8192, 1, 64},
-                                {2, 6, 1, 128, 8192, 1, 64},
-                                {2, 7, 1, 128, 8192, 1, 64},
-                                {2, 8, 1, 128, 8192, 1, 64},
-                                {2, 1, 1, 128, 12288, 1, 84},
-                                {2, 2, 1, 128, 12288, 1, 84},
-                                {2, 3, 1, 128, 12288, 1, 84},
-                                {2, 4, 1, 128, 12288, 1, 84},
-                                {2, 5, 1, 128, 12288, 1, 84},
-                                {2, 6, 1, 128, 12288, 1, 84},
-                                {2, 7, 1, 128, 12288, 1, 84},
-                                {2, 8, 1, 128, 12288, 1, 80},
-                                {2, 1, 1, 128, 14336, 2, 84},
-                                {2, 2, 1, 128, 14336, 1, 84},
-                                {2, 3, 1, 128, 14336, 1, 84},
-                                {2, 4, 1, 128, 14336, 1, 84},
-                                {2, 5, 1, 128, 14336, 1, 84},
-                                {2, 6, 1, 128, 14336, 1, 84},
-                                {2, 7, 1, 128, 14336, 1, 84},
-                                {2, 8, 1, 128, 14336, 1, 84},
-                                {2, 1, 1, 128, 16384, 3, 64},
-                                {2, 2, 1, 128, 16384, 3, 64},
-                                {2, 3, 1, 128, 16384, 4, 64},
-                                {2, 4, 1, 128, 16384, 3, 64},
-                                {2, 5, 1, 128, 16384, 4, 64},
-                                {2, 6, 1, 128, 16384, 4, 64},
-                                {2, 7, 1, 128, 16384, 4, 64},
-                                {2, 8, 1, 128, 16384, 4, 64},
-                                {2, 1, 1, 128, 24576, 4, 84},
-                                {2, 2, 1, 128, 24576, 4, 84},
-                                {2, 3, 1, 128, 24576, 4, 84},
-                                {2, 4, 1, 128, 24576, 4, 84},
-                                {2, 5, 1, 128, 24576, 4, 84},
-                                {2, 6, 1, 128, 24576, 4, 84},
-                                {2, 7, 1, 128, 24576, 4, 64},
-                                {2, 8, 1, 128, 24576, 4, 84},
-                                {2, 1, 1, 128, 51200, 4, 80},
-                                {2, 2, 1, 128, 51200, 4, 80},
-                                {2, 3, 1, 128, 51200, 4, 80},
-                                {2, 4, 1, 128, 51200, 4, 80},
-                                {2, 5, 1, 128, 51200, 4, 80},
-                                {2, 6, 1, 128, 51200, 4, 80},
-                                {2, 7, 1, 128, 51200, 4, 80},
-                                {2, 8, 1, 128, 51200, 4, 80},
-                                {2, 1, 1, 128, 128000, 4, 84},
-                                {2, 2, 1, 128, 128000, 4, 84},
-                                {2, 3, 1, 128, 128000, 4, 84},
-                                {2, 4, 1, 128, 128000, 4, 84},
-                                {2, 5, 1, 128, 128000, 4, 84},
-                                {2, 6, 1, 128, 128000, 4, 84},
-                                {2, 7, 1, 128, 128000, 4, 84},
-                                {2, 8, 1, 128, 128000, 4, 80},
-                                {2, 1, 1, 256, 512, 2, 8},
-                                {2, 2, 1, 256, 512, 2, 8},
-                                {2, 3, 1, 256, 512, 2, 8},
-                                {2, 4, 1, 256, 512, 2, 8},
-                                {2, 5, 1, 256, 512, 2, 8},
-                                {2, 6, 1, 256, 512, 2, 8},
-                                {2, 7, 1, 256, 512, 2, 8},
-                                {2, 8, 1, 256, 512, 2, 8},
-                                {2, 1, 1, 256, 1024, 2, 16},
-                                {2, 2, 1, 256, 1024, 2, 16},
-                                {2, 3, 1, 256, 1024, 2, 16},
-                                {2, 4, 1, 256, 1024, 2, 16},
-                                {2, 5, 1, 256, 1024, 1, 16},
-                                {2, 6, 1, 256, 1024, 2, 16},
-                                {2, 7, 1, 256, 1024, 1, 16},
-                                {2, 8, 1, 256, 1024, 1, 16},
-                                {2, 1, 1, 256, 2048, 2, 32},
-                                {2, 2, 1, 256, 2048, 2, 32},
-                                {2, 3, 1, 256, 2048, 1, 32},
-                                {2, 4, 1, 256, 2048, 1, 32},
-                                {2, 5, 1, 256, 2048, 1, 32},
-                                {2, 6, 1, 256, 2048, 1, 32},
-                                {2, 7, 1, 256, 2048, 1, 32},
-                                {2, 8, 1, 256, 2048, 1, 32},
-                                {2, 1, 1, 256, 3072, 2, 48},
-                                {2, 2, 1, 256, 3072, 1, 48},
-                                {2, 3, 1, 256, 3072, 1, 48},
-                                {2, 4, 1, 256, 3072, 1, 48},
-                                {2, 5, 1, 256, 3072, 1, 48},
-                                {2, 6, 1, 256, 3072, 1, 48},
-                                {2, 7, 1, 256, 3072, 1, 48},
-                                {2, 8, 1, 256, 3072, 1, 48},
-                                {2, 1, 1, 256, 4096, 2, 64},
-                                {2, 2, 1, 256, 4096, 1, 64},
-                                {2, 3, 1, 256, 4096, 1, 64},
-                                {2, 4, 1, 256, 4096, 1, 64},
-                                {2, 5, 1, 256, 4096, 1, 64},
-                                {2, 6, 1, 256, 4096, 1, 64},
-                                {2, 7, 1, 256, 4096, 1, 64},
-                                {2, 8, 1, 256, 4096, 1, 64},
-                                {2, 1, 1, 256, 5120, 1, 80},
-                                {2, 2, 1, 256, 5120, 1, 80},
-                                {2, 3, 1, 256, 5120, 1, 80},
-                                {2, 4, 1, 256, 5120, 1, 80},
-                                {2, 5, 1, 256, 5120, 1, 80},
-                                {2, 6, 1, 256, 5120, 1, 80},
-                                {2, 7, 1, 256, 5120, 1, 80},
-                                {2, 8, 1, 256, 5120, 1, 80},
-                                {2, 1, 1, 256, 8192, 2, 64},
-                                {2, 2, 1, 256, 8192, 2, 64},
-                                {2, 3, 1, 256, 8192, 1, 84},
-                                {2, 4, 1, 256, 8192, 2, 64},
-                                {2, 5, 1, 256, 8192, 1, 84},
-                                {2, 6, 1, 256, 8192, 1, 84},
-                                {2, 7, 1, 256, 8192, 1, 84},
-                                {2, 8, 1, 256, 8192, 1, 84},
-                                {2, 1, 1, 256, 12288, 2, 84},
-                                {2, 2, 1, 256, 12288, 2, 84},
-                                {2, 3, 1, 256, 12288, 1, 84},
-                                {2, 4, 1, 256, 12288, 2, 84},
-                                {2, 5, 1, 256, 12288, 1, 84},
-                                {2, 6, 1, 256, 12288, 1, 84},
-                                {2, 7, 1, 256, 12288, 2, 84},
-                                {2, 8, 1, 256, 12288, 1, 84},
-                                {2, 1, 1, 256, 14336, 2, 84},
-                                {2, 2, 1, 256, 14336, 2, 84},
-                                {2, 3, 1, 256, 14336, 1, 84},
-                                {2, 4, 1, 256, 14336, 2, 84},
-                                {2, 5, 1, 256, 14336, 2, 84},
-                                {2, 6, 1, 256, 14336, 2, 84},
-                                {2, 7, 1, 256, 14336, 4, 56},
-                                {2, 8, 1, 256, 14336, 1, 84},
-                                {2, 1, 1, 256, 16384, 3, 64},
-                                {2, 2, 1, 256, 16384, 3, 64},
-                                {2, 3, 1, 256, 16384, 3, 64},
-                                {2, 4, 1, 256, 16384, 3, 64},
-                                {2, 5, 1, 256, 16384, 4, 64},
-                                {2, 6, 1, 256, 16384, 4, 64},
-                                {2, 7, 1, 256, 16384, 4, 64},
-                                {2, 8, 1, 256, 16384, 4, 64},
-                                {2, 1, 1, 256, 24576, 4, 84},
-                                {2, 2, 1, 256, 24576, 4, 84},
-                                {2, 3, 1, 256, 24576, 4, 84},
-                                {2, 4, 1, 256, 24576, 4, 80},
-                                {2, 5, 1, 256, 24576, 4, 84},
-                                {2, 6, 1, 256, 24576, 4, 84},
-                                {2, 7, 1, 256, 24576, 4, 84},
-                                {2, 8, 1, 256, 24576, 4, 84},
-                                {2, 1, 1, 256, 51200, 4, 84},
-                                {2, 2, 1, 256, 51200, 4, 84},
-                                {2, 3, 1, 256, 51200, 4, 84},
-                                {2, 4, 1, 256, 51200, 4, 84},
-                                {2, 5, 1, 256, 51200, 4, 84},
-                                {2, 6, 1, 256, 51200, 4, 84},
-                                {2, 7, 1, 256, 51200, 4, 84},
-                                {2, 8, 1, 256, 51200, 4, 80},
-                                {2, 1, 1, 256, 128000, 4, 84},
-                                {2, 2, 1, 256, 128000, 4, 84},
-                                {2, 3, 1, 256, 128000, 4, 84},
-                                {2, 4, 1, 256, 128000, 4, 84},
-                                {2, 5, 1, 256, 128000, 4, 84},
-                                {2, 6, 1, 256, 128000, 4, 84},
-                                {2, 7, 1, 256, 128000, 4, 84},
-                                {2, 8, 1, 256, 128000, 4, 80},
-                                {2, 1, 1, 512, 512, 2, 8},
-                                {2, 2, 1, 512, 512, 2, 16},
-                                {2, 3, 1, 512, 512, 2, 16},
-                                {2, 4, 1, 512, 512, 2, 8},
-                                {2, 5, 1, 512, 512, 2, 16},
-                                {2, 6, 1, 512, 512, 1, 16},
-                                {2, 7, 1, 512, 512, 1, 16},
-                                {2, 8, 1, 512, 512, 1, 16},
-                                {2, 1, 1, 512, 1024, 2, 24},
-                                {2, 2, 1, 512, 1024, 2, 16},
-                                {2, 3, 1, 512, 1024, 1, 24},
-                                {2, 4, 1, 512, 1024, 1, 24},
-                                {2, 5, 1, 512, 1024, 1, 24},
-                                {2, 6, 1, 512, 1024, 1, 32},
-                                {2, 7, 1, 512, 1024, 1, 32},
-                                {2, 8, 1, 512, 1024, 1, 32},
-                                {2, 1, 1, 512, 2048, 2, 32},
-                                {2, 2, 1, 512, 2048, 1, 48},
-                                {2, 3, 1, 512, 2048, 1, 64},
-                                {2, 4, 1, 512, 2048, 1, 48},
-                                {2, 5, 1, 512, 2048, 1, 64},
-                                {2, 6, 1, 512, 2048, 1, 64},
-                                {2, 7, 1, 512, 2048, 1, 64},
-                                {2, 8, 1, 512, 2048, 1, 64},
-                                {2, 1, 1, 512, 3072, 2, 48},
-                                {2, 2, 1, 512, 3072, 1, 72},
-                                {2, 3, 1, 512, 3072, 1, 72},
-                                {2, 4, 1, 512, 3072, 1, 72},
-                                {2, 5, 1, 512, 3072, 1, 72},
-                                {2, 6, 1, 512, 3072, 1, 72},
-                                {2, 7, 1, 512, 3072, 1, 72},
-                                {2, 8, 1, 512, 3072, 1, 72},
-                                {2, 1, 1, 512, 4096, 2, 64},
-                                {2, 2, 1, 512, 4096, 2, 64},
-                                {2, 3, 1, 512, 4096, 1, 84},
-                                {2, 4, 1, 512, 4096, 2, 64},
-                                {2, 5, 1, 512, 4096, 1, 84},
-                                {2, 6, 1, 512, 4096, 1, 84},
-                                {2, 7, 1, 512, 4096, 1, 84},
-                                {2, 8, 1, 512, 4096, 1, 84},
-                                {2, 1, 1, 512, 5120, 2, 80},
-                                {2, 2, 1, 512, 5120, 2, 80},
-                                {2, 3, 1, 512, 5120, 1, 80},
-                                {2, 4, 1, 512, 5120, 2, 80},
-                                {2, 5, 1, 512, 5120, 1, 80},
-                                {2, 6, 1, 512, 5120, 1, 80},
-                                {2, 7, 1, 512, 5120, 2, 80},
-                                {2, 8, 1, 512, 5120, 1, 80},
-                                {2, 1, 1, 512, 8192, 2, 84},
-                                {2, 2, 1, 512, 8192, 2, 84},
-                                {2, 3, 1, 512, 8192, 3, 64},
-                                {2, 4, 1, 512, 8192, 2, 84},
-                                {2, 5, 1, 512, 8192, 2, 84},
-                                {2, 6, 1, 512, 8192, 2, 84},
-                                {2, 7, 1, 512, 8192, 2, 84},
-                                {2, 8, 1, 512, 8192, 2, 84},
-                                {2, 1, 1, 512, 12288, 3, 84},
-                                {2, 2, 1, 512, 12288, 3, 84},
-                                {2, 3, 1, 512, 12288, 3, 84},
-                                {2, 4, 1, 512, 12288, 3, 84},
-                                {2, 5, 1, 512, 12288, 2, 84},
-                                {2, 6, 1, 512, 12288, 2, 84},
-                                {2, 7, 1, 512, 12288, 4, 72},
-                                {2, 8, 1, 512, 12288, 3, 78},
-                                {2, 1, 1, 512, 14336, 3, 84},
-                                {2, 2, 1, 512, 14336, 3, 82},
-                                {2, 3, 1, 512, 14336, 3, 84},
-                                {2, 4, 1, 512, 14336, 3, 84},
-                                {2, 5, 1, 512, 14336, 4, 84},
-                                {2, 6, 1, 512, 14336, 4, 84},
-                                {2, 7, 1, 512, 14336, 4, 82},
-                                {2, 8, 1, 512, 14336, 4, 74},
-                                {2, 1, 1, 512, 16384, 3, 84},
-                                {2, 2, 1, 512, 16384, 3, 82},
-                                {2, 3, 1, 512, 16384, 4, 84},
-                                {2, 4, 1, 512, 16384, 3, 84},
-                                {2, 5, 1, 512, 16384, 4, 84},
-                                {2, 6, 1, 512, 16384, 4, 84},
-                                {2, 7, 1, 512, 16384, 4, 84},
-                                {2, 8, 1, 512, 16384, 3, 64},
-                                {2, 1, 1, 512, 24576, 4, 84},
-                                {2, 2, 1, 512, 24576, 3, 84},
-                                {2, 3, 1, 512, 24576, 4, 84},
-                                {2, 4, 1, 512, 24576, 3, 84},
-                                {2, 5, 1, 512, 24576, 4, 84},
-                                {2, 6, 1, 512, 24576, 4, 84},
-                                {2, 7, 1, 512, 24576, 4, 84},
-                                {2, 8, 1, 512, 24576, 4, 80},
-                                {2, 1, 1, 512, 51200, 4, 84},
-                                {2, 2, 1, 512, 51200, 3, 80},
-                                {2, 3, 1, 512, 51200, 4, 84},
-                                {2, 4, 1, 512, 51200, 4, 84},
-                                {2, 5, 1, 512, 51200, 4, 84},
-                                {2, 6, 1, 512, 51200, 4, 84},
-                                {2, 7, 1, 512, 51200, 4, 82},
-                                {2, 8, 1, 512, 51200, 4, 80},
-                                {2, 1, 1, 512, 128000, 3, 84},
-                                {2, 2, 1, 512, 128000, 3, 84},
-                                {2, 3, 1, 512, 128000, 4, 84},
-                                {2, 4, 1, 512, 128000, 3, 84},
-                                {2, 5, 1, 512, 128000, 4, 84},
-                                {2, 6, 1, 512, 128000, 4, 84},
-                                {2, 7, 1, 512, 128000, 4, 80},
-                                {2, 8, 1, 512, 128000, 4, 80},
-                                {2, 1, 1, 1024, 512, 2, 16},
-                                {2, 2, 1, 1024, 512, 2, 16},
-                                {2, 3, 1, 1024, 512, 2, 16},
-                                {2, 4, 1, 1024, 512, 2, 16},
-                                {2, 5, 1, 1024, 512, 2, 16},
-                                {2, 6, 1, 1024, 512, 2, 16},
-                                {2, 7, 1, 1024, 512, 2, 16},
-                                {2, 8, 1, 1024, 512, 2, 16},
-                                {2, 1, 1, 1024, 1024, 2, 32},
-                                {2, 2, 1, 1024, 1024, 2, 32},
-                                {2, 3, 1, 1024, 1024, 2, 32},
-                                {2, 4, 1, 1024, 1024, 2, 32},
-                                {2, 5, 1, 1024, 1024, 2, 32},
-                                {2, 6, 1, 1024, 1024, 2, 32},
-                                {2, 7, 1, 1024, 1024, 2, 32},
-                                {2, 8, 1, 1024, 1024, 2, 32},
-                                {2, 1, 1, 1024, 2048, 2, 64},
-                                {2, 2, 1, 1024, 2048, 2, 64},
-                                {2, 3, 1, 1024, 2048, 1, 64},
-                                {2, 4, 1, 1024, 2048, 2, 64},
-                                {2, 5, 1, 1024, 2048, 2, 64},
-                                {2, 6, 1, 1024, 2048, 2, 64},
-                                {2, 7, 1, 1024, 2048, 2, 64},
-                                {2, 8, 1, 1024, 2048, 1, 80},
-                                {2, 1, 1, 1024, 3072, 2, 72},
-                                {2, 2, 1, 1024, 3072, 2, 72},
-                                {2, 3, 1, 1024, 3072, 2, 72},
-                                {2, 4, 1, 1024, 3072, 2, 72},
-                                {2, 5, 1, 1024, 3072, 2, 72},
-                                {2, 6, 1, 1024, 3072, 2, 72},
-                                {2, 7, 1, 1024, 3072, 2, 72},
-                                {2, 8, 1, 1024, 3072, 2, 82},
-                                {2, 1, 1, 1024, 4096, 2, 84},
-                                {2, 2, 1, 1024, 4096, 2, 84},
-                                {2, 3, 1, 1024, 4096, 2, 84},
-                                {2, 4, 1, 1024, 4096, 2, 84},
-                                {2, 5, 1, 1024, 4096, 2, 84},
-                                {2, 6, 1, 1024, 4096, 2, 84},
-                                {2, 7, 1, 1024, 4096, 2, 84},
-                                {2, 8, 1, 1024, 4096, 2, 84},
-                                {2, 1, 1, 1024, 5120, 2, 80},
-                                {2, 2, 1, 1024, 5120, 2, 80},
-                                {2, 3, 1, 1024, 5120, 2, 80},
-                                {2, 4, 1, 1024, 5120, 2, 80},
-                                {2, 5, 1, 1024, 5120, 2, 80},
-                                {2, 6, 1, 1024, 5120, 2, 80},
-                                {2, 7, 1, 1024, 5120, 2, 80},
-                                {2, 8, 1, 1024, 5120, 2, 80},
-                                {2, 1, 1, 1024, 8192, 3, 84},
-                                {2, 2, 1, 1024, 8192, 3, 84},
-                                {2, 3, 1, 1024, 8192, 3, 84},
-                                {2, 4, 1, 1024, 8192, 3, 84},
-                                {2, 5, 1, 1024, 8192, 2, 84},
-                                {2, 6, 1, 1024, 8192, 2, 84},
-                                {2, 7, 1, 1024, 8192, 4, 80},
-                                {2, 8, 1, 1024, 8192, 3, 64},
-                                {2, 1, 1, 1024, 12288, 3, 82},
-                                {2, 2, 1, 1024, 12288, 3, 84},
-                                {2, 3, 1, 1024, 12288, 3, 84},
-                                {2, 4, 1, 1024, 12288, 3, 84},
-                                {2, 5, 1, 1024, 12288, 4, 84},
-                                {2, 6, 1, 1024, 12288, 4, 84},
-                                {2, 7, 1, 1024, 12288, 4, 82},
-                                {2, 8, 1, 1024, 12288, 3, 80},
-                                {2, 1, 1, 1024, 14336, 3, 84},
-                                {2, 2, 1, 1024, 14336, 3, 84},
-                                {2, 3, 1, 1024, 14336, 3, 84},
-                                {2, 4, 1, 1024, 14336, 3, 84},
-                                {2, 5, 1, 1024, 14336, 4, 84},
-                                {2, 6, 1, 1024, 14336, 4, 84},
-                                {2, 7, 1, 1024, 14336, 4, 82},
-                                {2, 8, 1, 1024, 14336, 3, 78},
-                                {2, 1, 1, 1024, 16384, 3, 82},
-                                {2, 2, 1, 1024, 16384, 3, 82},
-                                {2, 3, 1, 1024, 16384, 3, 84},
-                                {2, 4, 1, 1024, 16384, 3, 84},
-                                {2, 5, 1, 1024, 16384, 4, 84},
-                                {2, 6, 1, 1024, 16384, 4, 84},
-                                {2, 7, 1, 1024, 16384, 4, 84},
-                                {2, 8, 1, 1024, 16384, 3, 64},
-                                {2, 1, 1, 1024, 24576, 3, 84},
-                                {2, 2, 1, 1024, 24576, 3, 84},
-                                {2, 3, 1, 1024, 24576, 4, 84},
-                                {2, 4, 1, 1024, 24576, 3, 84},
-                                {2, 5, 1, 1024, 24576, 4, 84},
-                                {2, 6, 1, 1024, 24576, 4, 84},
-                                {2, 7, 1, 1024, 24576, 4, 84},
-                                {2, 8, 1, 1024, 24576, 4, 70},
-                                {2, 1, 1, 1024, 51200, 3, 84},
-                                {2, 2, 1, 1024, 51200, 3, 84},
-                                {2, 3, 1, 1024, 51200, 3, 84},
-                                {2, 4, 1, 1024, 51200, 3, 84},
-                                {2, 5, 1, 1024, 51200, 4, 84},
-                                {2, 6, 1, 1024, 51200, 4, 84},
-                                {2, 7, 1, 1024, 51200, 4, 80},
-                                {2, 8, 1, 1024, 51200, 4, 80},
-                                {2, 1, 1, 1024, 128000, 3, 84},
-                                {2, 2, 1, 1024, 128000, 3, 84},
-                                {2, 3, 1, 1024, 128000, 3, 84},
-                                {2, 4, 1, 1024, 128000, 3, 84},
-                                {2, 5, 1, 1024, 128000, 4, 84},
-                                {2, 6, 1, 1024, 128000, 4, 84},
-                                {2, 7, 1, 1024, 128000, 4, 84},
-                                {2, 8, 1, 1024, 128000, 4, 80},
-                                {2, 1, 1, 2048, 512, 2, 20},
-                                {2, 2, 1, 2048, 512, 2, 20},
-                                {2, 3, 1, 2048, 512, 2, 26},
-                                {2, 4, 1, 2048, 512, 2, 20},
-                                {2, 5, 1, 2048, 512, 2, 24},
-                                {2, 6, 1, 2048, 512, 2, 24},
-                                {2, 7, 1, 2048, 512, 2, 24},
-                                {2, 8, 1, 2048, 512, 2, 26},
-                                {2, 1, 1, 2048, 1024, 2, 40},
-                                {2, 2, 1, 2048, 1024, 2, 40},
-                                {2, 3, 1, 2048, 1024, 2, 52},
-                                {2, 4, 1, 2048, 1024, 2, 40},
-                                {2, 5, 1, 2048, 1024, 2, 40},
-                                {2, 6, 1, 2048, 1024, 2, 40},
-                                {2, 7, 1, 2048, 1024, 2, 48},
-                                {2, 8, 1, 2048, 1024, 2, 48},
-                                {2, 1, 1, 2048, 2048, 2, 80},
-                                {2, 2, 1, 2048, 2048, 2, 80},
-                                {2, 3, 1, 2048, 2048, 2, 80},
-                                {2, 4, 1, 2048, 2048, 2, 80},
-                                {2, 5, 1, 2048, 2048, 2, 80},
-                                {2, 6, 1, 2048, 2048, 2, 80},
-                                {2, 7, 1, 2048, 2048, 2, 84},
-                                {2, 8, 1, 2048, 2048, 2, 80},
-                                {2, 1, 1, 2048, 3072, 2, 78},
-                                {2, 2, 1, 2048, 3072, 2, 84},
-                                {2, 3, 1, 2048, 3072, 2, 84},
-                                {2, 4, 1, 2048, 3072, 2, 82},
-                                {2, 5, 1, 2048, 3072, 2, 84},
-                                {2, 6, 1, 2048, 3072, 2, 82},
-                                {2, 7, 1, 2048, 3072, 2, 82},
-                                {2, 8, 1, 2048, 3072, 2, 82},
-                                {2, 1, 1, 2048, 4096, 2, 84},
-                                {2, 2, 1, 2048, 4096, 2, 84},
-                                {2, 3, 1, 2048, 4096, 3, 80},
-                                {2, 4, 1, 2048, 4096, 2, 84},
-                                {2, 5, 1, 2048, 4096, 2, 84},
-                                {2, 6, 1, 2048, 4096, 2, 84},
-                                {2, 7, 1, 2048, 4096, 2, 84},
-                                {2, 8, 1, 2048, 4096, 2, 84},
-                                {2, 1, 1, 2048, 5120, 3, 80},
-                                {2, 2, 1, 2048, 5120, 3, 80},
-                                {2, 3, 1, 2048, 5120, 3, 80},
-                                {2, 4, 1, 2048, 5120, 3, 80},
-                                {2, 5, 1, 2048, 5120, 2, 84},
-                                {2, 6, 1, 2048, 5120, 2, 84},
-                                {2, 7, 1, 2048, 5120, 2, 84},
-                                {2, 8, 1, 2048, 5120, 3, 76},
-                                {2, 1, 1, 2048, 8192, 3, 84},
-                                {2, 2, 1, 2048, 8192, 3, 84},
-                                {2, 3, 1, 2048, 8192, 3, 84},
-                                {2, 4, 1, 2048, 8192, 3, 84},
-                                {2, 5, 1, 2048, 8192, 4, 82},
-                                {2, 6, 1, 2048, 8192, 4, 82},
-                                {2, 7, 1, 2048, 8192, 4, 82},
-                                {2, 8, 1, 2048, 8192, 3, 64},
-                                {2, 1, 1, 2048, 12288, 3, 84},
-                                {2, 2, 1, 2048, 12288, 3, 84},
-                                {2, 3, 1, 2048, 12288, 3, 84},
-                                {2, 4, 1, 2048, 12288, 3, 84},
-                                {2, 5, 1, 2048, 12288, 4, 84},
-                                {2, 6, 1, 2048, 12288, 4, 84},
-                                {2, 7, 1, 2048, 12288, 4, 82},
-                                {2, 8, 1, 2048, 12288, 3, 78},
-                                {2, 1, 1, 2048, 14336, 3, 84},
-                                {2, 2, 1, 2048, 14336, 3, 84},
-                                {2, 3, 1, 2048, 14336, 3, 84},
-                                {2, 4, 1, 2048, 14336, 3, 84},
-                                {2, 5, 1, 2048, 14336, 4, 84},
-                                {2, 6, 1, 2048, 14336, 4, 84},
-                                {2, 7, 1, 2048, 14336, 4, 84},
-                                {2, 8, 1, 2048, 14336, 4, 72},
-                                {2, 1, 1, 2048, 16384, 3, 84},
-                                {2, 2, 1, 2048, 16384, 3, 84},
-                                {2, 3, 1, 2048, 16384, 3, 84},
-                                {2, 4, 1, 2048, 16384, 3, 84},
-                                {2, 5, 1, 2048, 16384, 4, 84},
-                                {2, 6, 1, 2048, 16384, 4, 84},
-                                {2, 7, 1, 2048, 16384, 4, 84},
-                                {2, 8, 1, 2048, 16384, 4, 72},
-                                {2, 1, 1, 2048, 24576, 3, 84},
-                                {2, 2, 1, 2048, 24576, 3, 84},
-                                {2, 3, 1, 2048, 24576, 3, 84},
-                                {2, 4, 1, 2048, 24576, 3, 84},
-                                {2, 5, 1, 2048, 24576, 4, 84},
-                                {2, 6, 1, 2048, 24576, 4, 84},
-                                {2, 7, 1, 2048, 24576, 4, 84},
-                                {2, 8, 1, 2048, 24576, 4, 84},
-                                {2, 1, 1, 2048, 51200, 3, 84},
-                                {2, 2, 1, 2048, 51200, 3, 84},
-                                {2, 3, 1, 2048, 51200, 3, 84},
-                                {2, 4, 1, 2048, 51200, 3, 84},
-                                {2, 5, 1, 2048, 51200, 4, 84},
-                                {2, 6, 1, 2048, 51200, 4, 84},
-                                {2, 7, 1, 2048, 51200, 4, 80},
-                                {2, 8, 1, 2048, 51200, 4, 76},
-                                {2, 1, 1, 2048, 128000, 3, 84},
-                                {2, 2, 1, 2048, 128000, 3, 84},
-                                {2, 3, 1, 2048, 128000, 3, 84},
-                                {2, 4, 1, 2048, 128000, 3, 84},
-                                {2, 5, 1, 2048, 128000, 4, 84},
-                                {2, 6, 1, 2048, 128000, 4, 84},
-                                {2, 7, 1, 2048, 128000, 4, 84},
-                                {2, 8, 1, 2048, 128000, 4, 70},
-                                {2, 1, 1, 3072, 512, 2, 24},
-                                {2, 2, 1, 3072, 512, 2, 32},
-                                {2, 3, 1, 3072, 512, 2, 32},
-                                {2, 4, 1, 3072, 512, 2, 24},
-                                {2, 5, 1, 3072, 512, 2, 32},
-                                {2, 6, 1, 3072, 512, 2, 32},
-                                {2, 7, 1, 3072, 512, 2, 32},
-                                {2, 8, 1, 3072, 512, 2, 32},
-                                {2, 1, 1, 3072, 1024, 2, 56},
-                                {2, 2, 1, 3072, 1024, 2, 48},
-                                {2, 3, 1, 3072, 1024, 2, 64},
-                                {2, 4, 1, 3072, 1024, 2, 48},
-                                {2, 5, 1, 3072, 1024, 2, 64},
-                                {2, 6, 1, 3072, 1024, 2, 64},
-                                {2, 7, 1, 3072, 1024, 2, 64},
-                                {2, 8, 1, 3072, 1024, 2, 64},
-                                {2, 1, 1, 3072, 2048, 2, 82},
-                                {2, 2, 1, 3072, 2048, 2, 84},
-                                {2, 3, 1, 3072, 2048, 2, 82},
-                                {2, 4, 1, 3072, 2048, 2, 82},
-                                {2, 5, 1, 3072, 2048, 2, 82},
-                                {2, 6, 1, 3072, 2048, 2, 84},
-                                {2, 7, 1, 3072, 2048, 2, 82},
-                                {2, 8, 1, 3072, 2048, 2, 82},
-                                {2, 1, 1, 3072, 3072, 2, 84},
-                                {2, 2, 1, 3072, 3072, 2, 84},
-                                {2, 3, 1, 3072, 3072, 3, 78},
-                                {2, 4, 1, 3072, 3072, 2, 82},
-                                {2, 5, 1, 3072, 3072, 2, 84},
-                                {2, 6, 1, 3072, 3072, 2, 82},
-                                {2, 7, 1, 3072, 3072, 2, 84},
-                                {2, 8, 1, 3072, 3072, 2, 84},
-                                {2, 1, 1, 3072, 4096, 2, 84},
-                                {2, 2, 1, 3072, 4096, 3, 82},
-                                {2, 3, 1, 3072, 4096, 3, 84},
-                                {2, 4, 1, 3072, 4096, 2, 84},
-                                {2, 5, 1, 3072, 4096, 2, 84},
-                                {2, 6, 1, 3072, 4096, 2, 84},
-                                {2, 7, 1, 3072, 4096, 2, 84},
-                                {2, 8, 1, 3072, 4096, 3, 64},
-                                {2, 1, 1, 3072, 5120, 3, 84},
-                                {2, 2, 1, 3072, 5120, 3, 84},
-                                {2, 3, 1, 3072, 5120, 3, 84},
-                                {2, 4, 1, 3072, 5120, 3, 84},
-                                {2, 5, 1, 3072, 5120, 2, 84},
-                                {2, 6, 1, 3072, 5120, 2, 84},
-                                {2, 7, 1, 3072, 5120, 4, 80},
-                                {2, 8, 1, 3072, 5120, 3, 76},
-                                {2, 1, 1, 3072, 8192, 3, 84},
-                                {2, 2, 1, 3072, 8192, 3, 84},
-                                {2, 3, 1, 3072, 8192, 3, 84},
-                                {2, 4, 1, 3072, 8192, 3, 84},
-                                {2, 5, 1, 3072, 8192, 4, 84},
-                                {2, 6, 1, 3072, 8192, 4, 84},
-                                {2, 7, 1, 3072, 8192, 4, 82},
-                                {2, 8, 1, 3072, 8192, 3, 64},
-                                {2, 1, 1, 3072, 12288, 3, 84},
-                                {2, 2, 1, 3072, 12288, 3, 84},
-                                {2, 3, 1, 3072, 12288, 3, 84},
-                                {2, 4, 1, 3072, 12288, 3, 84},
-                                {2, 5, 1, 3072, 12288, 4, 84},
-                                {2, 6, 1, 3072, 12288, 4, 84},
-                                {2, 7, 1, 3072, 12288, 4, 82},
-                                {2, 8, 1, 3072, 12288, 4, 72},
-                                {2, 1, 1, 3072, 14336, 3, 84},
-                                {2, 2, 1, 3072, 14336, 3, 84},
-                                {2, 3, 1, 3072, 14336, 3, 84},
-                                {2, 4, 1, 3072, 14336, 3, 84},
-                                {2, 5, 1, 3072, 14336, 4, 84},
-                                {2, 6, 1, 3072, 14336, 4, 84},
-                                {2, 7, 1, 3072, 14336, 4, 84},
-                                {2, 8, 1, 3072, 14336, 4, 74},
-                                {2, 1, 1, 3072, 16384, 3, 84},
-                                {2, 2, 1, 3072, 16384, 3, 84},
-                                {2, 3, 1, 3072, 16384, 3, 84},
-                                {2, 4, 1, 3072, 16384, 3, 84},
-                                {2, 5, 1, 3072, 16384, 4, 84},
-                                {2, 6, 1, 3072, 16384, 4, 84},
-                                {2, 7, 1, 3072, 16384, 4, 84},
-                                {2, 8, 1, 3072, 16384, 4, 70},
-                                {2, 1, 1, 3072, 24576, 3, 84},
-                                {2, 2, 1, 3072, 24576, 3, 84},
-                                {2, 3, 1, 3072, 24576, 3, 84},
-                                {2, 4, 1, 3072, 24576, 3, 84},
-                                {2, 5, 1, 3072, 24576, 4, 84},
-                                {2, 6, 1, 3072, 24576, 4, 84},
-                                {2, 7, 1, 3072, 24576, 4, 84},
-                                {2, 8, 1, 3072, 24576, 4, 84},
-                                {2, 1, 1, 3072, 51200, 3, 84},
-                                {2, 2, 1, 3072, 51200, 3, 84},
-                                {2, 3, 1, 3072, 51200, 3, 84},
-                                {2, 4, 1, 3072, 51200, 3, 84},
-                                {2, 5, 1, 3072, 51200, 4, 84},
-                                {2, 6, 1, 3072, 51200, 4, 84},
-                                {2, 7, 1, 3072, 51200, 4, 80},
-                                {2, 8, 1, 3072, 51200, 4, 70},
-                                {2, 1, 1, 3072, 128000, 3, 84},
-                                {2, 2, 1, 3072, 128000, 3, 84},
-                                {2, 3, 1, 3072, 128000, 3, 84},
-                                {2, 4, 1, 3072, 128000, 3, 84},
-                                {2, 5, 1, 3072, 128000, 4, 84},
-                                {2, 6, 1, 3072, 128000, 4, 84},
-                                {2, 7, 1, 3072, 128000, 4, 80},
-                                {2, 8, 1, 3072, 128000, 4, 70},
-                                {2, 1, 1, 4096, 512, 2, 32},
-                                {2, 2, 1, 4096, 512, 2, 32},
-                                {2, 3, 1, 4096, 512, 2, 32},
-                                {2, 4, 1, 4096, 512, 2, 32},
-                                {2, 5, 1, 4096, 512, 2, 32},
-                                {2, 6, 1, 4096, 512, 2, 32},
-                                {2, 7, 1, 4096, 512, 2, 32},
-                                {2, 8, 1, 4096, 512, 2, 32},
-                                {2, 1, 1, 4096, 1024, 2, 64},
-                                {2, 2, 1, 4096, 1024, 2, 64},
-                                {2, 3, 1, 4096, 1024, 2, 64},
-                                {2, 4, 1, 4096, 1024, 2, 64},
-                                {2, 5, 1, 4096, 1024, 2, 64},
-                                {2, 6, 1, 4096, 1024, 2, 64},
-                                {2, 7, 1, 4096, 1024, 2, 70},
-                                {2, 8, 1, 4096, 1024, 2, 64},
-                                {2, 1, 1, 4096, 2048, 2, 82},
-                                {2, 2, 1, 4096, 2048, 2, 82},
-                                {2, 3, 1, 4096, 2048, 2, 82},
-                                {2, 4, 1, 4096, 2048, 2, 82},
-                                {2, 5, 1, 4096, 2048, 2, 82},
-                                {2, 6, 1, 4096, 2048, 2, 82},
-                                {2, 7, 1, 4096, 2048, 2, 82},
-                                {2, 8, 1, 4096, 2048, 2, 82},
-                                {2, 1, 1, 4096, 3072, 2, 84},
-                                {2, 2, 1, 4096, 3072, 2, 84},
-                                {2, 3, 1, 4096, 3072, 3, 82},
-                                {2, 4, 1, 4096, 3072, 2, 82},
-                                {2, 5, 1, 4096, 3072, 2, 84},
-                                {2, 6, 1, 4096, 3072, 2, 84},
-                                {2, 7, 1, 4096, 3072, 2, 84},
-                                {2, 8, 1, 4096, 3072, 3, 68},
-                                {2, 1, 1, 4096, 4096, 3, 82},
-                                {2, 2, 1, 4096, 4096, 3, 82},
-                                {2, 3, 1, 4096, 4096, 3, 84},
-                                {2, 4, 1, 4096, 4096, 3, 82},
-                                {2, 5, 1, 4096, 4096, 2, 84},
-                                {2, 6, 1, 4096, 4096, 2, 84},
-                                {2, 7, 1, 4096, 4096, 3, 84},
-                                {2, 8, 1, 4096, 4096, 3, 64},
-                                {2, 1, 1, 4096, 5120, 3, 84},
-                                {2, 2, 1, 4096, 5120, 3, 84},
-                                {2, 3, 1, 4096, 5120, 3, 84},
-                                {2, 4, 1, 4096, 5120, 3, 84},
-                                {2, 5, 1, 4096, 5120, 4, 84},
-                                {2, 6, 1, 4096, 5120, 4, 84},
-                                {2, 7, 1, 4096, 5120, 4, 80},
-                                {2, 8, 1, 4096, 5120, 3, 72},
-                                {2, 1, 1, 4096, 8192, 3, 84},
-                                {2, 2, 1, 4096, 8192, 3, 84},
-                                {2, 3, 1, 4096, 8192, 3, 84},
-                                {2, 4, 1, 4096, 8192, 3, 84},
-                                {2, 5, 1, 4096, 8192, 4, 84},
-                                {2, 6, 1, 4096, 8192, 4, 84},
-                                {2, 7, 1, 4096, 8192, 4, 82},
-                                {2, 8, 1, 4096, 8192, 3, 64},
-                                {2, 1, 1, 4096, 12288, 3, 84},
-                                {2, 2, 1, 4096, 12288, 3, 84},
-                                {2, 3, 1, 4096, 12288, 3, 84},
-                                {2, 4, 1, 4096, 12288, 3, 84},
-                                {2, 5, 1, 4096, 12288, 4, 84},
-                                {2, 6, 1, 4096, 12288, 4, 84},
-                                {2, 7, 1, 4096, 12288, 4, 80},
-                                {2, 8, 1, 4096, 12288, 4, 72},
-                                {2, 1, 1, 4096, 14336, 3, 84},
-                                {2, 2, 1, 4096, 14336, 3, 84},
-                                {2, 3, 1, 4096, 14336, 3, 84},
-                                {2, 4, 1, 4096, 14336, 3, 84},
-                                {2, 5, 1, 4096, 14336, 4, 84},
-                                {2, 6, 1, 4096, 14336, 4, 84},
-                                {2, 7, 1, 4096, 14336, 4, 84},
-                                {2, 8, 1, 4096, 14336, 4, 78},
-                                {2, 1, 1, 4096, 16384, 3, 84},
-                                {2, 2, 1, 4096, 16384, 3, 84},
-                                {2, 3, 1, 4096, 16384, 3, 84},
-                                {2, 4, 1, 4096, 16384, 3, 84},
-                                {2, 5, 1, 4096, 16384, 4, 84},
-                                {2, 6, 1, 4096, 16384, 4, 84},
-                                {2, 7, 1, 4096, 16384, 4, 84},
-                                {2, 8, 1, 4096, 16384, 4, 70},
-                                {2, 1, 1, 4096, 24576, 3, 84},
-                                {2, 2, 1, 4096, 24576, 3, 84},
-                                {2, 3, 1, 4096, 24576, 3, 84},
-                                {2, 4, 1, 4096, 24576, 3, 84},
-                                {2, 5, 1, 4096, 24576, 4, 84},
-                                {2, 6, 1, 4096, 24576, 4, 84},
-                                {2, 7, 1, 4096, 24576, 4, 84},
-                                {2, 8, 1, 4096, 24576, 4, 74},
-                                {2, 1, 1, 4096, 51200, 3, 84},
-                                {2, 2, 1, 4096, 51200, 3, 84},
-                                {2, 3, 1, 4096, 51200, 3, 84},
-                                {2, 4, 1, 4096, 51200, 3, 84},
-                                {2, 5, 1, 4096, 51200, 4, 84},
-                                {2, 6, 1, 4096, 51200, 4, 84},
-                                {2, 7, 1, 4096, 51200, 4, 80},
-                                {2, 8, 1, 4096, 51200, 4, 70},
-                                {2, 1, 1, 4096, 128000, 3, 84},
-                                {2, 2, 1, 4096, 128000, 3, 84},
-                                {2, 3, 1, 4096, 128000, 3, 84},
-                                {2, 4, 1, 4096, 128000, 3, 84},
-                                {2, 5, 1, 4096, 128000, 4, 84},
-                                {2, 6, 1, 4096, 128000, 4, 84},
-                                {2, 7, 1, 4096, 128000, 4, 84},
-                                {2, 8, 1, 4096, 128000, 4, 70},
-                                {2, 1, 1, 5120, 512, 2, 32},
-                                {2, 2, 1, 5120, 512, 2, 36},
-                                {2, 3, 1, 5120, 512, 2, 40},
-                                {2, 4, 1, 5120, 512, 2, 36},
-                                {2, 5, 1, 5120, 512, 2, 40},
-                                {2, 6, 1, 5120, 512, 2, 40},
-                                {2, 7, 1, 5120, 512, 2, 40},
-                                {2, 8, 1, 5120, 512, 2, 40},
-                                {2, 1, 1, 5120, 1024, 2, 64},
-                                {2, 2, 1, 5120, 1024, 2, 64},
-                                {2, 3, 1, 5120, 1024, 2, 80},
-                                {2, 4, 1, 5120, 1024, 2, 72},
-                                {2, 5, 1, 5120, 1024, 2, 78},
-                                {2, 6, 1, 5120, 1024, 2, 78},
-                                {2, 7, 1, 5120, 1024, 2, 78},
-                                {2, 8, 1, 5120, 1024, 2, 78},
-                                {2, 1, 1, 5120, 2048, 2, 84},
-                                {2, 2, 1, 5120, 2048, 2, 84},
-                                {2, 3, 1, 5120, 2048, 2, 84},
-                                {2, 4, 1, 5120, 2048, 2, 84},
-                                {2, 5, 1, 5120, 2048, 2, 84},
-                                {2, 6, 1, 5120, 2048, 2, 84},
-                                {2, 7, 1, 5120, 2048, 2, 84},
-                                {2, 8, 1, 5120, 2048, 2, 84},
-                                {2, 1, 1, 5120, 3072, 3, 84},
-                                {2, 2, 1, 5120, 3072, 3, 84},
-                                {2, 3, 1, 5120, 3072, 3, 84},
-                                {2, 4, 1, 5120, 3072, 3, 84},
-                                {2, 5, 1, 5120, 3072, 2, 84},
-                                {2, 6, 1, 5120, 3072, 2, 84},
-                                {2, 7, 1, 5120, 3072, 2, 84},
-                                {2, 8, 1, 5120, 3072, 3, 68},
-                                {2, 1, 1, 5120, 4096, 3, 84},
-                                {2, 2, 1, 5120, 4096, 3, 84},
-                                {2, 3, 1, 5120, 4096, 3, 84},
-                                {2, 4, 1, 5120, 4096, 3, 84},
-                                {2, 5, 1, 5120, 4096, 2, 84},
-                                {2, 6, 1, 5120, 4096, 2, 84},
-                                {2, 7, 1, 5120, 4096, 4, 80},
-                                {2, 8, 1, 5120, 4096, 3, 64},
-                                {2, 1, 1, 5120, 5120, 3, 84},
-                                {2, 2, 1, 5120, 5120, 3, 84},
-                                {2, 3, 1, 5120, 5120, 3, 84},
-                                {2, 4, 1, 5120, 5120, 3, 84},
-                                {2, 5, 1, 5120, 5120, 4, 84},
-                                {2, 6, 1, 5120, 5120, 4, 84},
-                                {2, 7, 1, 5120, 5120, 4, 80},
-                                {2, 8, 1, 5120, 5120, 3, 68},
-                                {2, 1, 1, 5120, 8192, 3, 84},
-                                {2, 2, 1, 5120, 8192, 3, 84},
-                                {2, 3, 1, 5120, 8192, 3, 84},
-                                {2, 4, 1, 5120, 8192, 3, 84},
-                                {2, 5, 1, 5120, 8192, 4, 84},
-                                {2, 6, 1, 5120, 8192, 4, 84},
-                                {2, 7, 1, 5120, 8192, 4, 80},
-                                {2, 8, 1, 5120, 8192, 3, 64},
-                                {2, 1, 1, 5120, 12288, 3, 84},
-                                {2, 2, 1, 5120, 12288, 3, 84},
-                                {2, 3, 1, 5120, 12288, 3, 84},
-                                {2, 4, 1, 5120, 12288, 3, 84},
-                                {2, 5, 1, 5120, 12288, 4, 84},
-                                {2, 6, 1, 5120, 12288, 4, 84},
-                                {2, 7, 1, 5120, 12288, 4, 80},
-                                {2, 8, 1, 5120, 12288, 4, 72},
-                                {2, 1, 1, 5120, 14336, 3, 84},
-                                {2, 2, 1, 5120, 14336, 3, 84},
-                                {2, 3, 1, 5120, 14336, 3, 84},
-                                {2, 4, 1, 5120, 14336, 3, 84},
-                                {2, 5, 1, 5120, 14336, 4, 84},
-                                {2, 6, 1, 5120, 14336, 4, 84},
-                                {2, 7, 1, 5120, 14336, 4, 84},
-                                {2, 8, 1, 5120, 14336, 4, 84},
-                                {2, 1, 1, 5120, 16384, 3, 84},
-                                {2, 2, 1, 5120, 16384, 3, 84},
-                                {2, 3, 1, 5120, 16384, 3, 84},
-                                {2, 4, 1, 5120, 16384, 3, 84},
-                                {2, 5, 1, 5120, 16384, 4, 84},
-                                {2, 6, 1, 5120, 16384, 4, 84},
-                                {2, 7, 1, 5120, 16384, 4, 80},
-                                {2, 8, 1, 5120, 16384, 4, 70},
-                                {2, 1, 1, 5120, 24576, 3, 84},
-                                {2, 2, 1, 5120, 24576, 3, 84},
-                                {2, 3, 1, 5120, 24576, 3, 84},
-                                {2, 4, 1, 5120, 24576, 3, 84},
-                                {2, 5, 1, 5120, 24576, 4, 84},
-                                {2, 6, 1, 5120, 24576, 4, 84},
-                                {2, 7, 1, 5120, 24576, 4, 80},
-                                {2, 8, 1, 5120, 24576, 4, 84},
-                                {2, 1, 1, 5120, 51200, 3, 84},
-                                {2, 2, 1, 5120, 51200, 3, 84},
-                                {2, 3, 1, 5120, 51200, 3, 84},
-                                {2, 4, 1, 5120, 51200, 3, 84},
-                                {2, 5, 1, 5120, 51200, 4, 84},
-                                {2, 6, 1, 5120, 51200, 4, 84},
-                                {2, 7, 1, 5120, 51200, 4, 80},
-                                {2, 8, 1, 5120, 51200, 4, 80},
-                                {2, 1, 1, 5120, 128000, 3, 84},
-                                {2, 2, 1, 5120, 128000, 3, 84},
-                                {2, 3, 1, 5120, 128000, 3, 84},
-                                {2, 4, 1, 5120, 128000, 3, 84},
-                                {2, 5, 1, 5120, 128000, 4, 84},
-                                {2, 6, 1, 5120, 128000, 4, 84},
-                                {2, 7, 1, 5120, 128000, 4, 80},
-                                {2, 8, 1, 5120, 128000, 4, 80},
-                                {2, 1, 1, 8192, 512, 2, 48},
-                                {2, 2, 1, 8192, 512, 2, 42},
-                                {2, 3, 1, 8192, 512, 2, 52},
-                                {2, 4, 1, 8192, 512, 2, 42},
-                                {2, 5, 1, 8192, 512, 2, 52},
-                                {2, 6, 1, 8192, 512, 2, 52},
-                                {2, 7, 1, 8192, 512, 2, 52},
-                                {2, 8, 1, 8192, 512, 2, 52},
-                                {2, 1, 1, 8192, 1024, 2, 82},
-                                {2, 2, 1, 8192, 1024, 2, 82},
-                                {2, 3, 1, 8192, 1024, 2, 82},
-                                {2, 4, 1, 8192, 1024, 2, 82},
-                                {2, 5, 1, 8192, 1024, 2, 82},
-                                {2, 6, 1, 8192, 1024, 2, 82},
-                                {2, 7, 1, 8192, 1024, 2, 82},
-                                {2, 8, 1, 8192, 1024, 2, 82},
-                                {2, 1, 1, 8192, 2048, 2, 84},
-                                {2, 2, 1, 8192, 2048, 2, 84},
-                                {2, 3, 1, 8192, 2048, 3, 84},
-                                {2, 4, 1, 8192, 2048, 2, 84},
-                                {2, 5, 1, 8192, 2048, 2, 84},
-                                {2, 6, 1, 8192, 2048, 2, 84},
-                                {2, 7, 1, 8192, 2048, 2, 84},
-                                {2, 8, 1, 8192, 2048, 3, 64},
-                                {2, 1, 1, 8192, 3072, 3, 84},
-                                {2, 2, 1, 8192, 3072, 3, 84},
-                                {2, 3, 1, 8192, 3072, 3, 84},
-                                {2, 4, 1, 8192, 3072, 3, 84},
-                                {2, 5, 1, 8192, 3072, 2, 84},
-                                {2, 6, 1, 8192, 3072, 2, 84},
-                                {2, 7, 1, 8192, 3072, 3, 84},
-                                {2, 8, 1, 8192, 3072, 3, 68},
-                                {2, 1, 1, 8192, 4096, 3, 84},
-                                {2, 2, 1, 8192, 4096, 3, 84},
-                                {2, 3, 1, 8192, 4096, 3, 84},
-                                {2, 4, 1, 8192, 4096, 3, 84},
-                                {2, 5, 1, 8192, 4096, 4, 84},
-                                {2, 6, 1, 8192, 4096, 4, 84},
-                                {2, 7, 1, 8192, 4096, 4, 82},
-                                {2, 8, 1, 8192, 4096, 3, 64},
-                                {2, 1, 1, 8192, 5120, 3, 84},
-                                {2, 2, 1, 8192, 5120, 3, 84},
-                                {2, 3, 1, 8192, 5120, 3, 84},
-                                {2, 4, 1, 8192, 5120, 3, 84},
-                                {2, 5, 1, 8192, 5120, 4, 84},
-                                {2, 6, 1, 8192, 5120, 4, 84},
-                                {2, 7, 1, 8192, 5120, 4, 80},
-                                {2, 8, 1, 8192, 5120, 3, 68},
-                                {2, 1, 1, 8192, 8192, 3, 84},
-                                {2, 2, 1, 8192, 8192, 3, 84},
-                                {2, 3, 1, 8192, 8192, 3, 84},
-                                {2, 4, 1, 8192, 8192, 3, 84},
-                                {2, 5, 1, 8192, 8192, 4, 84},
-                                {2, 6, 1, 8192, 8192, 4, 84},
-                                {2, 7, 1, 8192, 8192, 4, 82},
-                                {2, 8, 1, 8192, 8192, 3, 64},
-                                {2, 1, 1, 8192, 12288, 3, 84},
-                                {2, 2, 1, 8192, 12288, 3, 84},
-                                {2, 3, 1, 8192, 12288, 3, 84},
-                                {2, 4, 1, 8192, 12288, 3, 84},
-                                {2, 5, 1, 8192, 12288, 4, 84},
-                                {2, 6, 1, 8192, 12288, 4, 84},
-                                {2, 7, 1, 8192, 12288, 4, 80},
-                                {2, 8, 1, 8192, 12288, 4, 72},
-                                {2, 1, 1, 8192, 14336, 3, 84},
-                                {2, 2, 1, 8192, 14336, 3, 84},
-                                {2, 3, 1, 8192, 14336, 3, 84},
-                                {2, 4, 1, 8192, 14336, 3, 84},
-                                {2, 5, 1, 8192, 14336, 4, 84},
-                                {2, 6, 1, 8192, 14336, 4, 84},
-                                {2, 7, 1, 8192, 14336, 4, 84},
-                                {2, 8, 1, 8192, 14336, 4, 84},
-                                {2, 1, 1, 8192, 16384, 3, 84},
-                                {2, 2, 1, 8192, 16384, 3, 84},
-                                {2, 3, 1, 8192, 16384, 3, 84},
-                                {2, 4, 1, 8192, 16384, 3, 84},
-                                {2, 5, 1, 8192, 16384, 4, 84},
-                                {2, 6, 1, 8192, 16384, 4, 84},
-                                {2, 7, 1, 8192, 16384, 4, 84},
-                                {2, 8, 1, 8192, 16384, 4, 68},
-                                {2, 1, 1, 8192, 24576, 3, 84},
-                                {2, 2, 1, 8192, 24576, 3, 84},
-                                {2, 3, 1, 8192, 24576, 3, 84},
-                                {2, 4, 1, 8192, 24576, 3, 84},
-                                {2, 5, 1, 8192, 24576, 4, 84},
-                                {2, 6, 1, 8192, 24576, 4, 84},
-                                {2, 7, 1, 8192, 24576, 4, 80},
-                                {2, 8, 1, 8192, 24576, 4, 78},
-                                {2, 1, 1, 8192, 51200, 3, 84},
-                                {2, 2, 1, 8192, 51200, 3, 84},
-                                {2, 3, 1, 8192, 51200, 3, 84},
-                                {2, 4, 1, 8192, 51200, 3, 84},
-                                {2, 5, 1, 8192, 51200, 4, 84},
-                                {2, 6, 1, 8192, 51200, 4, 84},
-                                {2, 7, 1, 8192, 51200, 4, 80},
-                                {2, 8, 1, 8192, 51200, 4, 80},
-                                {2, 1, 1, 8192, 128000, 3, 84},
-                                {2, 2, 1, 8192, 128000, 3, 84},
-                                {2, 3, 1, 8192, 128000, 3, 84},
-                                {2, 4, 1, 8192, 128000, 3, 84},
-                                {2, 5, 1, 8192, 128000, 4, 84},
-                                {2, 6, 1, 8192, 128000, 4, 84},
-                                {2, 7, 1, 8192, 128000, 4, 80},
-                                {2, 8, 1, 8192, 128000, 4, 70},
-                                {2, 1, 1, 12288, 512, 2, 64},
-                                {2, 2, 1, 12288, 512, 2, 64},
-                                {2, 3, 1, 12288, 512, 2, 64},
-                                {2, 4, 1, 12288, 512, 2, 52},
-                                {2, 5, 1, 12288, 512, 2, 64},
-                                {2, 6, 1, 12288, 512, 2, 64},
-                                {2, 7, 1, 12288, 512, 2, 64},
-                                {2, 8, 1, 12288, 512, 2, 64},
-                                {2, 1, 1, 12288, 1024, 2, 84},
-                                {2, 2, 1, 12288, 1024, 2, 84},
-                                {2, 3, 1, 12288, 1024, 2, 84},
-                                {2, 4, 1, 12288, 1024, 2, 84},
-                                {2, 5, 1, 12288, 1024, 2, 84},
-                                {2, 6, 1, 12288, 1024, 2, 84},
-                                {2, 7, 1, 12288, 1024, 2, 84},
-                                {2, 8, 1, 12288, 1024, 2, 84},
-                                {2, 1, 1, 12288, 2048, 3, 84},
-                                {2, 2, 1, 12288, 2048, 3, 84},
-                                {2, 3, 1, 12288, 2048, 3, 84},
-                                {2, 4, 1, 12288, 2048, 3, 84},
-                                {2, 5, 1, 12288, 2048, 2, 84},
-                                {2, 6, 1, 12288, 2048, 2, 84},
-                                {2, 7, 1, 12288, 2048, 3, 84},
-                                {2, 8, 1, 12288, 2048, 3, 64},
-                                {2, 1, 1, 12288, 3072, 3, 84},
-                                {2, 2, 1, 12288, 3072, 3, 84},
-                                {2, 3, 1, 12288, 3072, 3, 84},
-                                {2, 4, 1, 12288, 3072, 3, 84},
-                                {2, 5, 1, 12288, 3072, 4, 84},
-                                {2, 6, 1, 12288, 3072, 4, 84},
-                                {2, 7, 1, 12288, 3072, 3, 84},
-                                {2, 8, 1, 12288, 3072, 3, 72},
-                                {2, 1, 1, 12288, 4096, 3, 84},
-                                {2, 2, 1, 12288, 4096, 3, 84},
-                                {2, 3, 1, 12288, 4096, 3, 84},
-                                {2, 4, 1, 12288, 4096, 3, 84},
-                                {2, 5, 1, 12288, 4096, 4, 84},
-                                {2, 6, 1, 12288, 4096, 4, 84},
-                                {2, 7, 1, 12288, 4096, 4, 80},
-                                {2, 8, 1, 12288, 4096, 3, 64},
-                                {2, 1, 1, 12288, 5120, 3, 84},
-                                {2, 2, 1, 12288, 5120, 3, 84},
-                                {2, 3, 1, 12288, 5120, 3, 84},
-                                {2, 4, 1, 12288, 5120, 3, 84},
-                                {2, 5, 1, 12288, 5120, 4, 84},
-                                {2, 6, 1, 12288, 5120, 4, 84},
-                                {2, 7, 1, 12288, 5120, 4, 80},
-                                {2, 8, 1, 12288, 5120, 3, 80},
-                                {2, 1, 1, 12288, 8192, 3, 84},
-                                {2, 2, 1, 12288, 8192, 3, 84},
-                                {2, 3, 1, 12288, 8192, 3, 84},
-                                {2, 4, 1, 12288, 8192, 3, 84},
-                                {2, 5, 1, 12288, 8192, 4, 84},
-                                {2, 6, 1, 12288, 8192, 4, 84},
-                                {2, 7, 1, 12288, 8192, 4, 80},
-                                {2, 8, 1, 12288, 8192, 3, 64},
-                                {2, 1, 1, 12288, 12288, 3, 84},
-                                {2, 2, 1, 12288, 12288, 3, 84},
-                                {2, 3, 1, 12288, 12288, 3, 84},
-                                {2, 4, 1, 12288, 12288, 3, 84},
-                                {2, 5, 1, 12288, 12288, 4, 84},
-                                {2, 6, 1, 12288, 12288, 4, 84},
-                                {2, 7, 1, 12288, 12288, 4, 80},
-                                {2, 8, 1, 12288, 12288, 4, 72},
-                                {2, 1, 1, 12288, 14336, 3, 84},
-                                {2, 2, 1, 12288, 14336, 3, 84},
-                                {2, 3, 1, 12288, 14336, 3, 84},
-                                {2, 4, 1, 12288, 14336, 3, 84},
-                                {2, 5, 1, 12288, 14336, 4, 84},
-                                {2, 6, 1, 12288, 14336, 4, 84},
-                                {2, 7, 1, 12288, 14336, 4, 84},
-                                {2, 8, 1, 12288, 14336, 3, 84},
-                                {2, 1, 1, 12288, 16384, 3, 84},
-                                {2, 2, 1, 12288, 16384, 3, 84},
-                                {2, 3, 1, 12288, 16384, 3, 84},
-                                {2, 4, 1, 12288, 16384, 3, 84},
-                                {2, 5, 1, 12288, 16384, 4, 84},
-                                {2, 6, 1, 12288, 16384, 4, 84},
-                                {2, 7, 1, 12288, 16384, 4, 80},
-                                {2, 8, 1, 12288, 16384, 3, 64},
-                                {2, 1, 1, 12288, 24576, 3, 84},
-                                {2, 2, 1, 12288, 24576, 3, 84},
-                                {2, 3, 1, 12288, 24576, 3, 84},
-                                {2, 4, 1, 12288, 24576, 3, 84},
-                                {2, 5, 1, 12288, 24576, 4, 84},
-                                {2, 6, 1, 12288, 24576, 4, 84},
-                                {2, 7, 1, 12288, 24576, 4, 80},
-                                {2, 8, 1, 12288, 24576, 4, 78},
-                                {2, 1, 1, 12288, 51200, 3, 84},
-                                {2, 2, 1, 12288, 51200, 3, 84},
-                                {2, 3, 1, 12288, 51200, 3, 84},
-                                {2, 4, 1, 12288, 51200, 3, 84},
-                                {2, 5, 1, 12288, 51200, 4, 84},
-                                {2, 6, 1, 12288, 51200, 4, 84},
-                                {2, 7, 1, 12288, 51200, 4, 80},
-                                {2, 8, 1, 12288, 51200, 4, 68},
-                                {2, 1, 1, 12288, 128000, 3, 84},
-                                {2, 2, 1, 12288, 128000, 3, 84},
-                                {2, 3, 1, 12288, 128000, 3, 84},
-                                {2, 4, 1, 12288, 128000, 3, 84},
-                                {2, 5, 1, 12288, 128000, 4, 84},
-                                {2, 6, 1, 12288, 128000, 4, 84},
-                                {2, 7, 1, 12288, 128000, 4, 80},
-                                {2, 8, 1, 12288, 128000, 4, 70},
-                                {2, 1, 1, 14336, 512, 2, 60},
-                                {2, 2, 1, 14336, 512, 2, 64},
-                                {2, 3, 1, 14336, 512, 2, 64},
-                                {2, 4, 1, 14336, 512, 2, 60},
-                                {2, 5, 1, 14336, 512, 2, 64},
-                                {2, 6, 1, 14336, 512, 2, 64},
-                                {2, 7, 1, 14336, 512, 2, 72},
-                                {2, 8, 1, 14336, 512, 2, 64},
-                                {2, 1, 1, 14336, 1024, 2, 84},
-                                {2, 2, 1, 14336, 1024, 2, 84},
-                                {2, 3, 1, 14336, 1024, 2, 84},
-                                {2, 4, 1, 14336, 1024, 2, 84},
-                                {2, 5, 1, 14336, 1024, 2, 84},
-                                {2, 6, 1, 14336, 1024, 2, 84},
-                                {2, 7, 1, 14336, 1024, 2, 84},
-                                {2, 8, 1, 14336, 1024, 2, 84},
-                                {2, 1, 1, 14336, 2048, 3, 84},
-                                {2, 2, 1, 14336, 2048, 3, 84},
-                                {2, 3, 1, 14336, 2048, 3, 84},
-                                {2, 4, 1, 14336, 2048, 3, 84},
-                                {2, 5, 1, 14336, 2048, 2, 84},
-                                {2, 6, 1, 14336, 2048, 2, 84},
-                                {2, 7, 1, 14336, 2048, 3, 84},
-                                {2, 8, 1, 14336, 2048, 3, 64},
-                                {2, 1, 1, 14336, 3072, 3, 84},
-                                {2, 2, 1, 14336, 3072, 3, 84},
-                                {2, 3, 1, 14336, 3072, 3, 84},
-                                {2, 4, 1, 14336, 3072, 3, 84},
-                                {2, 5, 1, 14336, 3072, 4, 84},
-                                {2, 6, 1, 14336, 3072, 4, 84},
-                                {2, 7, 1, 14336, 3072, 4, 84},
-                                {2, 8, 1, 14336, 3072, 3, 72},
-                                {2, 1, 1, 14336, 4096, 3, 84},
-                                {2, 2, 1, 14336, 4096, 3, 84},
-                                {2, 3, 1, 14336, 4096, 3, 84},
-                                {2, 4, 1, 14336, 4096, 3, 84},
-                                {2, 5, 1, 14336, 4096, 4, 84},
-                                {2, 6, 1, 14336, 4096, 4, 84},
-                                {2, 7, 1, 14336, 4096, 4, 80},
-                                {2, 8, 1, 14336, 4096, 3, 64},
-                                {2, 1, 1, 14336, 5120, 3, 84},
-                                {2, 2, 1, 14336, 5120, 3, 84},
-                                {2, 3, 1, 14336, 5120, 3, 84},
-                                {2, 4, 1, 14336, 5120, 3, 84},
-                                {2, 5, 1, 14336, 5120, 4, 84},
-                                {2, 6, 1, 14336, 5120, 4, 84},
-                                {2, 7, 1, 14336, 5120, 4, 80},
-                                {2, 8, 1, 14336, 5120, 3, 68},
-                                {2, 1, 1, 14336, 8192, 3, 84},
-                                {2, 2, 1, 14336, 8192, 3, 84},
-                                {2, 3, 1, 14336, 8192, 3, 84},
-                                {2, 4, 1, 14336, 8192, 3, 84},
-                                {2, 5, 1, 14336, 8192, 4, 84},
-                                {2, 6, 1, 14336, 8192, 4, 84},
-                                {2, 7, 1, 14336, 8192, 4, 80},
-                                {2, 8, 1, 14336, 8192, 3, 64},
-                                {2, 1, 1, 14336, 12288, 3, 84},
-                                {2, 2, 1, 14336, 12288, 3, 84},
-                                {2, 3, 1, 14336, 12288, 3, 84},
-                                {2, 4, 1, 14336, 12288, 3, 84},
-                                {2, 5, 1, 14336, 12288, 4, 84},
-                                {2, 6, 1, 14336, 12288, 4, 84},
-                                {2, 7, 1, 14336, 12288, 4, 80},
-                                {2, 8, 1, 14336, 12288, 3, 72},
-                                {2, 1, 1, 14336, 14336, 3, 84},
-                                {2, 2, 1, 14336, 14336, 3, 84},
-                                {2, 3, 1, 14336, 14336, 3, 84},
-                                {2, 4, 1, 14336, 14336, 3, 84},
-                                {2, 5, 1, 14336, 14336, 4, 84},
-                                {2, 6, 1, 14336, 14336, 4, 84},
-                                {2, 7, 1, 14336, 14336, 4, 84},
-                                {2, 8, 1, 14336, 14336, 3, 84},
-                                {2, 1, 1, 14336, 16384, 3, 84},
-                                {2, 2, 1, 14336, 16384, 3, 84},
-                                {2, 3, 1, 14336, 16384, 3, 84},
-                                {2, 4, 1, 14336, 16384, 3, 84},
-                                {2, 5, 1, 14336, 16384, 4, 84},
-                                {2, 6, 1, 14336, 16384, 4, 84},
-                                {2, 7, 1, 14336, 16384, 4, 80},
-                                {2, 8, 1, 14336, 16384, 4, 68},
-                                {2, 1, 1, 14336, 24576, 3, 84},
-                                {2, 2, 1, 14336, 24576, 3, 84},
-                                {2, 3, 1, 14336, 24576, 3, 84},
-                                {2, 4, 1, 14336, 24576, 3, 84},
-                                {2, 5, 1, 14336, 24576, 4, 84},
-                                {2, 6, 1, 14336, 24576, 4, 84},
-                                {2, 7, 1, 14336, 24576, 4, 80},
-                                {2, 8, 1, 14336, 24576, 4, 78},
-                                {2, 1, 1, 14336, 51200, 3, 84},
-                                {2, 2, 1, 14336, 51200, 3, 84},
-                                {2, 3, 1, 14336, 51200, 3, 84},
-                                {2, 4, 1, 14336, 51200, 3, 84},
-                                {2, 5, 1, 14336, 51200, 4, 84},
-                                {2, 6, 1, 14336, 51200, 4, 84},
-                                {2, 7, 1, 14336, 51200, 4, 80},
-                                {2, 8, 1, 14336, 51200, 4, 80},
-                                {2, 1, 1, 14336, 128000, 3, 84},
-                                {2, 2, 1, 14336, 128000, 3, 84},
-                                {2, 3, 1, 14336, 128000, 3, 84},
-                                {2, 4, 1, 14336, 128000, 3, 84},
-                                {2, 5, 1, 14336, 128000, 4, 84},
-                                {2, 6, 1, 14336, 128000, 4, 84},
-                                {2, 7, 1, 14336, 128000, 4, 80},
-                                {2, 8, 1, 14336, 128000, 4, 70},
-                                {2, 1, 1, 16384, 512, 2, 64},
-                                {2, 2, 1, 16384, 512, 2, 64},
-                                {2, 3, 1, 16384, 512, 2, 76},
-                                {2, 4, 1, 16384, 512, 2, 64},
-                                {2, 5, 1, 16384, 512, 2, 64},
-                                {2, 6, 1, 16384, 512, 2, 76},
-                                {2, 7, 1, 16384, 512, 2, 76},
-                                {2, 8, 1, 16384, 512, 2, 72},
-                                {2, 1, 1, 16384, 1024, 2, 84},
-                                {2, 2, 1, 16384, 1024, 2, 84},
-                                {2, 3, 1, 16384, 1024, 2, 84},
-                                {2, 4, 1, 16384, 1024, 2, 84},
-                                {2, 5, 1, 16384, 1024, 2, 84},
-                                {2, 6, 1, 16384, 1024, 2, 84},
-                                {2, 7, 1, 16384, 1024, 2, 84},
-                                {2, 8, 1, 16384, 1024, 2, 84},
-                                {2, 1, 1, 16384, 2048, 3, 84},
-                                {2, 2, 1, 16384, 2048, 3, 84},
-                                {2, 3, 1, 16384, 2048, 3, 84},
-                                {2, 4, 1, 16384, 2048, 3, 84},
-                                {2, 5, 1, 16384, 2048, 2, 84},
-                                {2, 6, 1, 16384, 2048, 2, 84},
-                                {2, 7, 1, 16384, 2048, 3, 84},
-                                {2, 8, 1, 16384, 2048, 3, 64},
-                                {2, 1, 1, 16384, 3072, 3, 84},
-                                {2, 2, 1, 16384, 3072, 3, 84},
-                                {2, 3, 1, 16384, 3072, 3, 84},
-                                {2, 4, 1, 16384, 3072, 3, 84},
-                                {2, 5, 1, 16384, 3072, 4, 84},
-                                {2, 6, 1, 16384, 3072, 4, 84},
-                                {2, 7, 1, 16384, 3072, 4, 80},
-                                {2, 8, 1, 16384, 3072, 3, 68},
-                                {2, 1, 1, 16384, 4096, 3, 84},
-                                {2, 2, 1, 16384, 4096, 3, 84},
-                                {2, 3, 1, 16384, 4096, 3, 84},
-                                {2, 4, 1, 16384, 4096, 3, 84},
-                                {2, 5, 1, 16384, 4096, 4, 84},
-                                {2, 6, 1, 16384, 4096, 4, 84},
-                                {2, 7, 1, 16384, 4096, 4, 80},
-                                {2, 8, 1, 16384, 4096, 3, 66},
-                                {2, 1, 1, 16384, 5120, 3, 84},
-                                {2, 2, 1, 16384, 5120, 3, 84},
-                                {2, 3, 1, 16384, 5120, 3, 84},
-                                {2, 4, 1, 16384, 5120, 3, 84},
-                                {2, 5, 1, 16384, 5120, 4, 84},
-                                {2, 6, 1, 16384, 5120, 4, 84},
-                                {2, 7, 1, 16384, 5120, 4, 80},
-                                {2, 8, 1, 16384, 5120, 3, 68},
-                                {2, 1, 1, 16384, 8192, 3, 84},
-                                {2, 2, 1, 16384, 8192, 3, 84},
-                                {2, 3, 1, 16384, 8192, 3, 84},
-                                {2, 4, 1, 16384, 8192, 3, 84},
-                                {2, 5, 1, 16384, 8192, 4, 84},
-                                {2, 6, 1, 16384, 8192, 4, 84},
-                                {2, 7, 1, 16384, 8192, 4, 80},
-                                {2, 8, 1, 16384, 8192, 3, 64},
-                                {2, 1, 1, 16384, 12288, 3, 84},
-                                {2, 2, 1, 16384, 12288, 3, 84},
-                                {2, 3, 1, 16384, 12288, 3, 84},
-                                {2, 4, 1, 16384, 12288, 3, 84},
-                                {2, 5, 1, 16384, 12288, 4, 84},
-                                {2, 6, 1, 16384, 12288, 4, 84},
-                                {2, 7, 1, 16384, 12288, 4, 80},
-                                {2, 8, 1, 16384, 12288, 3, 72},
-                                {2, 1, 1, 16384, 14336, 3, 84},
-                                {2, 2, 1, 16384, 14336, 3, 84},
-                                {2, 3, 1, 16384, 14336, 3, 84},
-                                {2, 4, 1, 16384, 14336, 3, 84},
-                                {2, 5, 1, 16384, 14336, 4, 84},
-                                {2, 6, 1, 16384, 14336, 4, 84},
-                                {2, 7, 1, 16384, 14336, 4, 84},
-                                {2, 8, 1, 16384, 14336, 4, 84},
-                                {2, 1, 1, 16384, 16384, 3, 84},
-                                {2, 2, 1, 16384, 16384, 3, 84},
-                                {2, 3, 1, 16384, 16384, 3, 84},
-                                {2, 4, 1, 16384, 16384, 3, 84},
-                                {2, 5, 1, 16384, 16384, 4, 84},
-                                {2, 6, 1, 16384, 16384, 4, 84},
-                                {2, 7, 1, 16384, 16384, 4, 80},
-                                {2, 8, 1, 16384, 16384, 4, 68},
-                                {2, 1, 1, 16384, 24576, 3, 84},
-                                {2, 2, 1, 16384, 24576, 3, 84},
-                                {2, 3, 1, 16384, 24576, 3, 84},
-                                {2, 4, 1, 16384, 24576, 3, 84},
-                                {2, 5, 1, 16384, 24576, 4, 84},
-                                {2, 6, 1, 16384, 24576, 4, 84},
-                                {2, 7, 1, 16384, 24576, 4, 80},
-                                {2, 8, 1, 16384, 24576, 4, 84},
-                                {2, 1, 1, 16384, 51200, 3, 84},
-                                {2, 2, 1, 16384, 51200, 3, 84},
-                                {2, 3, 1, 16384, 51200, 3, 84},
-                                {2, 4, 1, 16384, 51200, 3, 84},
-                                {2, 5, 1, 16384, 51200, 4, 84},
-                                {2, 6, 1, 16384, 51200, 4, 84},
-                                {2, 7, 1, 16384, 51200, 4, 80},
-                                {2, 8, 1, 16384, 51200, 4, 80},
-                                {2, 1, 1, 16384, 128000, 3, 84},
-                                {2, 2, 1, 16384, 128000, 3, 84},
-                                {2, 3, 1, 16384, 128000, 3, 84},
-                                {2, 4, 1, 16384, 128000, 3, 84},
-                                {2, 5, 1, 16384, 128000, 4, 84},
-                                {2, 6, 1, 16384, 128000, 4, 84},
-                                {2, 7, 1, 16384, 128000, 4, 80},
-                                {2, 8, 1, 16384, 128000, 4, 80},
-                                {2, 1, 1, 24576, 512, 2, 80},
-                                {2, 2, 1, 24576, 512, 2, 72},
-                                {2, 3, 1, 24576, 512, 2, 84},
-                                {2, 4, 1, 24576, 512, 2, 72},
-                                {2, 5, 1, 24576, 512, 2, 84},
-                                {2, 6, 1, 24576, 512, 2, 84},
-                                {2, 7, 1, 24576, 512, 2, 84},
-                                {2, 8, 1, 24576, 512, 2, 84},
-                                {2, 1, 1, 24576, 1024, 2, 84},
-                                {2, 2, 1, 24576, 1024, 2, 84},
-                                {2, 3, 1, 24576, 1024, 3, 84},
-                                {2, 4, 1, 24576, 1024, 2, 84},
-                                {2, 5, 1, 24576, 1024, 2, 84},
-                                {2, 6, 1, 24576, 1024, 2, 84},
-                                {2, 7, 1, 24576, 1024, 2, 84},
-                                {2, 8, 1, 24576, 1024, 2, 84},
-                                {2, 1, 1, 24576, 2048, 3, 84},
-                                {2, 2, 1, 24576, 2048, 3, 84},
-                                {2, 3, 1, 24576, 2048, 3, 84},
-                                {2, 4, 1, 24576, 2048, 3, 84},
-                                {2, 5, 1, 24576, 2048, 4, 84},
-                                {2, 6, 1, 24576, 2048, 4, 84},
-                                {2, 7, 1, 24576, 2048, 3, 84},
-                                {2, 8, 1, 24576, 2048, 3, 64},
-                                {2, 1, 1, 24576, 3072, 3, 84},
-                                {2, 2, 1, 24576, 3072, 3, 84},
-                                {2, 3, 1, 24576, 3072, 3, 84},
-                                {2, 4, 1, 24576, 3072, 3, 84},
-                                {2, 5, 1, 24576, 3072, 4, 84},
-                                {2, 6, 1, 24576, 3072, 4, 84},
-                                {2, 7, 1, 24576, 3072, 4, 84},
-                                {2, 8, 1, 24576, 3072, 3, 72},
-                                {2, 1, 1, 24576, 4096, 3, 84},
-                                {2, 2, 1, 24576, 4096, 3, 84},
-                                {2, 3, 1, 24576, 4096, 3, 84},
-                                {2, 4, 1, 24576, 4096, 3, 84},
-                                {2, 5, 1, 24576, 4096, 4, 84},
-                                {2, 6, 1, 24576, 4096, 4, 84},
-                                {2, 7, 1, 24576, 4096, 4, 80},
-                                {2, 8, 1, 24576, 4096, 3, 64},
-                                {2, 1, 1, 24576, 5120, 3, 84},
-                                {2, 2, 1, 24576, 5120, 3, 84},
-                                {2, 3, 1, 24576, 5120, 3, 84},
-                                {2, 4, 1, 24576, 5120, 3, 84},
-                                {2, 5, 1, 24576, 5120, 4, 84},
-                                {2, 6, 1, 24576, 5120, 4, 84},
-                                {2, 7, 1, 24576, 5120, 4, 80},
-                                {2, 8, 1, 24576, 5120, 3, 80},
-                                {2, 1, 1, 24576, 8192, 3, 84},
-                                {2, 2, 1, 24576, 8192, 3, 84},
-                                {2, 3, 1, 24576, 8192, 3, 84},
-                                {2, 4, 1, 24576, 8192, 3, 84},
-                                {2, 5, 1, 24576, 8192, 4, 84},
-                                {2, 6, 1, 24576, 8192, 4, 84},
-                                {2, 7, 1, 24576, 8192, 4, 80},
-                                {2, 8, 1, 24576, 8192, 3, 64},
-                                {2, 1, 1, 24576, 12288, 3, 84},
-                                {2, 2, 1, 24576, 12288, 3, 84},
-                                {2, 3, 1, 24576, 12288, 3, 84},
-                                {2, 4, 1, 24576, 12288, 3, 84},
-                                {2, 5, 1, 24576, 12288, 4, 84},
-                                {2, 6, 1, 24576, 12288, 4, 84},
-                                {2, 7, 1, 24576, 12288, 4, 80},
-                                {2, 8, 1, 24576, 12288, 4, 72},
-                                {2, 1, 1, 24576, 14336, 3, 84},
-                                {2, 2, 1, 24576, 14336, 3, 84},
-                                {2, 3, 1, 24576, 14336, 3, 84},
-                                {2, 4, 1, 24576, 14336, 3, 84},
-                                {2, 5, 1, 24576, 14336, 4, 84},
-                                {2, 6, 1, 24576, 14336, 4, 84},
-                                {2, 7, 1, 24576, 14336, 4, 84},
-                                {2, 8, 1, 24576, 14336, 3, 84},
-                                {2, 1, 1, 24576, 16384, 3, 84},
-                                {2, 2, 1, 24576, 16384, 3, 84},
-                                {2, 3, 1, 24576, 16384, 3, 84},
-                                {2, 4, 1, 24576, 16384, 3, 84},
-                                {2, 5, 1, 24576, 16384, 4, 84},
-                                {2, 6, 1, 24576, 16384, 4, 84},
-                                {2, 7, 1, 24576, 16384, 4, 80},
-                                {2, 8, 1, 24576, 16384, 4, 68},
-                                {2, 1, 1, 24576, 24576, 3, 84},
-                                {2, 2, 1, 24576, 24576, 3, 84},
-                                {2, 3, 1, 24576, 24576, 3, 84},
-                                {2, 4, 1, 24576, 24576, 3, 84},
-                                {2, 5, 1, 24576, 24576, 4, 84},
-                                {2, 6, 1, 24576, 24576, 4, 84},
-                                {2, 7, 1, 24576, 24576, 4, 80},
-                                {2, 8, 1, 24576, 24576, 4, 84},
-                                {2, 1, 1, 24576, 51200, 3, 84},
-                                {2, 2, 1, 24576, 51200, 3, 84},
-                                {2, 3, 1, 24576, 51200, 3, 84},
-                                {2, 4, 1, 24576, 51200, 3, 84},
-                                {2, 5, 1, 24576, 51200, 4, 84},
-                                {2, 6, 1, 24576, 51200, 4, 84},
-                                {2, 7, 1, 24576, 51200, 4, 80},
-                                {2, 8, 1, 24576, 51200, 4, 80},
-                                {2, 1, 1, 24576, 128000, 3, 84},
-                                {2, 2, 1, 24576, 128000, 3, 84},
-                                {2, 3, 1, 24576, 128000, 3, 84},
-                                {2, 4, 1, 24576, 128000, 3, 84},
-                                {2, 5, 1, 24576, 128000, 4, 84},
-                                {2, 6, 1, 24576, 128000, 4, 84},
-                                {2, 7, 1, 24576, 128000, 4, 80},
-                                {2, 8, 1, 24576, 128000, 4, 70},
-                                {0, 0, 0, 0, 0, 0, 0}};
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_moe.cu b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_moe.cu
index 28103a3dfe..d56befa19d 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_moe.cu
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_moe.cu
@@ -5,7 +5,7 @@
 namespace cg = cooperative_groups;
 #include "../util.h"
 #include "../util.cuh"
-#include "exl3_moe_kernel.cuh"
+#include "comp_units/exl3_moe_instances.cuh"
 #include "exl3_devctx.cuh"
 #include <set>
 
@@ -16,18 +16,27 @@ int exl3_moe_max_concurrency(int device) {
 
 std::set<void*> moe_kernel_attr_set[MAX_DEVICES] = {};
 
-typedef void (*fp_exl3_moe_kernel)(EXL3_MOE_KERNEL_ARGS);
-
 fp_exl3_moe_kernel exl3_moe_kernel_instances[] = {
-    exl3_moe_kernel<0, 128>, exl3_moe_kernel<0, 256>,  // Switch Kg, Ku and Kd
-                                                       // at runtime
-    exl3_moe_kernel<1, 128>, exl3_moe_kernel<1, 256>,  // Compile-time Kg = Ku =
-                                                       // Kd
-    exl3_moe_kernel<2, 128>, exl3_moe_kernel<2, 256>,  // ...
-    exl3_moe_kernel<3, 128>, exl3_moe_kernel<3, 256>, exl3_moe_kernel<4, 128>,
-    exl3_moe_kernel<4, 256>, exl3_moe_kernel<5, 128>, exl3_moe_kernel<5, 256>,
-    exl3_moe_kernel<6, 128>, exl3_moe_kernel<6, 256>, exl3_moe_kernel<7, 128>,
-    exl3_moe_kernel<7, 256>, exl3_moe_kernel<8, 128>, exl3_moe_kernel<8, 256>};
+    // [K][cb - 1][N_off]: K = 0 switches Kg/Ku/Kd at runtime, K > 0 =
+    // compile-time Kg = Ku = Kd
+    exl3_moe_kernel_k0_n128_cb1(), exl3_moe_kernel_k0_n256_cb1(),
+    exl3_moe_kernel_k0_n128_cb2(), exl3_moe_kernel_k0_n256_cb2(),
+    exl3_moe_kernel_k1_n128_cb1(), exl3_moe_kernel_k1_n256_cb1(),
+    exl3_moe_kernel_k1_n128_cb2(), exl3_moe_kernel_k1_n256_cb2(),
+    exl3_moe_kernel_k2_n128_cb1(), exl3_moe_kernel_k2_n256_cb1(),
+    exl3_moe_kernel_k2_n128_cb2(), exl3_moe_kernel_k2_n256_cb2(),
+    exl3_moe_kernel_k3_n128_cb1(), exl3_moe_kernel_k3_n256_cb1(),
+    exl3_moe_kernel_k3_n128_cb2(), exl3_moe_kernel_k3_n256_cb2(),
+    exl3_moe_kernel_k4_n128_cb1(), exl3_moe_kernel_k4_n256_cb1(),
+    exl3_moe_kernel_k4_n128_cb2(), exl3_moe_kernel_k4_n256_cb2(),
+    exl3_moe_kernel_k5_n128_cb1(), exl3_moe_kernel_k5_n256_cb1(),
+    exl3_moe_kernel_k5_n128_cb2(), exl3_moe_kernel_k5_n256_cb2(),
+    exl3_moe_kernel_k6_n128_cb1(), exl3_moe_kernel_k6_n256_cb1(),
+    exl3_moe_kernel_k6_n128_cb2(), exl3_moe_kernel_k6_n256_cb2(),
+    exl3_moe_kernel_k7_n128_cb1(), exl3_moe_kernel_k7_n256_cb1(),
+    exl3_moe_kernel_k7_n128_cb2(), exl3_moe_kernel_k7_n256_cb2(),
+    exl3_moe_kernel_k8_n128_cb1(), exl3_moe_kernel_k8_n256_cb1(),
+    exl3_moe_kernel_k8_n128_cb2(), exl3_moe_kernel_k8_n256_cb2()};
 
 /*
 Fused mixture-of-experts MLP operation for EXL3 weights
@@ -65,7 +74,7 @@ hidden_dim), fp16
 intermediate_dim), fp16
 
     act_function:
-        int, see exl3_moe.h
+        int, see exl3_moe.cuh
 
     K_gate
     K_up
@@ -91,6 +100,12 @@ intermediate_dim), fp16
     down_mcg
     down_mul1:
         bool, codebook flags
+
+    num_active:
+        number of experts with 0 < token count <= max_tokens_per_expert, i.e.
+the number of experts this kernel will process. Used to size the launch: fewer,
+wider expert groups when few experts are active. Pass -1 if unknown (defaults to
+MOE_SMS_PER_EXPERT-wide groups at max concurrency)
 */
 
 void exl3_moe(const at::Tensor& hidden_state, const at::Tensor& output_state,
@@ -115,12 +130,15 @@ void exl3_moe(const at::Tensor& hidden_state, const at::Tensor& output_state,
               const bool gate_mcg, const bool gate_mul1, const bool up_mcg,
               const bool up_mul1, const bool down_mcg, const bool down_mul1,
 
-              const float act_limit) {
+              const float act_limit, const int num_active) {
   const torch::stable::accelerator::DeviceGuard device_guard(
       hidden_state.get_device_index());
   cudaStream_t stream =
       get_current_cuda_stream(hidden_state.get_device_index());
 
+  // Nothing for the fused kernel to do
+  if (num_active == 0) return;
+
   // Validate args
   TORCH_CHECK_DTYPE(hidden_state, kHalf);
   TORCH_CHECK_DIM(hidden_state, 2);
@@ -159,12 +177,12 @@ void exl3_moe(const at::Tensor& hidden_state, const at::Tensor& output_state,
   // (gate)"); TORCH_CHECK(!(up_mcg && up_mul1), "Specified both mcg and mul1
   // (up)"); TORCH_CHECK(!(down_mcg && down_mul1), "Specified both mcg and mul1
   // (down)");
-  TORCH_CHECK(gate_mcg && !gate_mul1,
-              "MoE kernel: Only mcg codebook is currently supported");
-  TORCH_CHECK(up_mcg && !up_mul1,
-              "MoE kernel: Only mcg codebook is currently supported");
-  TORCH_CHECK(down_mcg && !down_mul1,
-              "MoE kernel: Only mcg codebook is currently supported");
+  TORCH_CHECK(gate_mcg == up_mcg && up_mcg == down_mcg &&
+                  gate_mul1 == up_mul1 && up_mul1 == down_mul1,
+              "MoE kernel: gate/up/down must share the same codebook");
+  TORCH_CHECK(gate_mcg != gate_mul1,
+              "MoE kernel: Only mcg and mul1 codebooks are supported");
+  const int cb_idx = gate_mul1 ? 1 : 0;
 
   // TORCH_CHECK(act_function == MOE_ACT_SILU, "MoE kernel: Only SiLU is
   // currently supported");
@@ -191,15 +209,25 @@ void exl3_moe(const at::Tensor& hidden_state, const at::Tensor& output_state,
   int cc = DevCtx::instance().get_cc(device);
   int* locks = DevCtx::instance().get_locks(device);
 
-  // Launch
+  // Launch. All blocks of the grid must be co-resident for the group barriers,
+  // so groups * width <= num_sms. With a known number of active experts, launch
+  // only as many groups as there are experts and widen them to use the freed
+  // SMs, up to MOE_MAX_SMS_PER_EXPERT
   int block_dim = EXL3_GEMM_BASE_THREADS * MOE_TILESIZE_K / 16;
   TORCH_CHECK(concurrency * MOE_SMS_PER_EXPERT <= num_sms,
               "Concurrency too high for device num_sms");
-  dim3 grid_dim(MOE_SMS_PER_EXPERT, 1, concurrency);
+  int num_groups = MIN((int)concurrency, MOE_MAX_GROUPS);
+  int group_size = MOE_SMS_PER_EXPERT;
+  if (num_active > 0) {
+    num_groups = MIN(num_groups, num_active);
+    group_size = MIN(num_sms / num_groups, MOE_MAX_SMS_PER_EXPERT);
+  }
+  dim3 grid_dim(group_size, 1, num_groups);
 
   int N_off = 0;
   if (hidden_dim % 256 == 0 && intermediate_dim % 256 == 0) N_off = 1;
-  fp_exl3_moe_kernel kernel = exl3_moe_kernel_instances[2 * K + N_off];
+  fp_exl3_moe_kernel kernel =
+      exl3_moe_kernel_instances[4 * K + 2 * cb_idx + N_off];
 
   if (moe_kernel_attr_set[device].find((void*)kernel) ==
       moe_kernel_attr_set[device].end()) {
@@ -253,7 +281,7 @@ void exl3_moe(const at::Tensor& hidden_state, const at::Tensor& output_state,
                         (void*)&num_experts,
                         (void*)&num_experts_per_tok,
                         (void*)&max_tokens_per_expert,
-                        (void*)&concurrency,
+                        (void*)&num_groups,
                         (void*)&act_limit,
                         (void*)&act_function,
                         (void*)&K_gate,
@@ -261,8 +289,8 @@ void exl3_moe(const at::Tensor& hidden_state, const at::Tensor& output_state,
                         (void*)&K_down,
                         (void*)&locks};
 
-  cudaLaunchCooperativeKernel((void*)kernel, grid_dim, block_dim, kernelArgs,
-                              SMEM_MAX, stream);
+  cudaLaunchKernel((void*)kernel, grid_dim, block_dim, kernelArgs, SMEM_MAX,
+                   stream);
 
   cuda_check(cudaPeekAtLastError());
 }
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_moe.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_moe.cuh
index 8146c2272e..edc97b1554 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_moe.cuh
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_moe.cuh
@@ -27,4 +27,4 @@ void exl3_moe(const at::Tensor& hidden_state, const at::Tensor& output_state,
               const bool gate_mcg, const bool gate_mul1, const bool up_mcg,
               const bool up_mul1, const bool down_mcg, const bool down_mul1,
 
-              const float act_limit);
+              const float act_limit, const int num_active);
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_moe_common.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_moe_common.cuh
new file mode 100644
index 0000000000..dfc76b167b
--- /dev/null
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_moe_common.cuh
@@ -0,0 +1,50 @@
+#pragma once
+
+#include <cuda_fp16.h>
+#include <stdint.h>
+
+#define MOE_ACT_SILU 0
+#define MOE_ACT_GELU 1
+#define MOE_ACT_RELU2_NOGATE \
+  2  // non-gated relu2 (NemotronH): gate GEMM and staging skipped
+
+#define MOE_SMS_PER_EXPERT \
+  8  // default/minimum group width, also sets max concurrency (buffer count)
+#define MOE_MAX_SMS_PER_EXPERT \
+  32  // widest expert group when few experts are active
+#define MOE_TILESIZE_K 32
+#define MOE_TILESIZE_M 16
+#define MOE_SH_STAGES 3
+#define MOE_FRAG_STAGES 3
+
+#ifndef EXL3_GEMM_BASE_THREADS
+  #define EXL3_GEMM_BASE_THREADS 256
+#endif
+
+#ifndef SMEM_MAX
+  #define SMEM_MAX (90 * 1024)  // max shared memory on compute capability 8.6
+#endif
+
+#define EXL3_MOE_KERNEL_ARGS                                                   \
+  const half *__restrict__ hidden_state, half *__restrict__ temp_state_g,      \
+      half *__restrict__ temp_state_u, half *__restrict__ temp_intermediate_g, \
+      half *__restrict__ temp_intermediate_u,                                  \
+      float *__restrict__ output_state,                                        \
+                                                                               \
+      const uint16_t **__restrict__ gate_trellis,                              \
+      const half **__restrict__ gate_suh, const half **__restrict__ gate_svh,  \
+      const uint16_t **__restrict__ up_trellis,                                \
+      const half **__restrict__ up_suh, const half **__restrict__ up_svh,      \
+      const uint16_t **__restrict__ down_trellis,                              \
+      const half **__restrict__ down_suh, const half **__restrict__ down_svh,  \
+                                                                               \
+      const int64_t *__restrict__ expert_count,                                \
+      const int64_t *__restrict__ token_sorted,                                \
+      const half *__restrict__ weight_sorted,                                  \
+                                                                               \
+      const int hidden_dim, const int intermediate_dim, const int num_experts, \
+      const int num_experts_per_tok, const int max_tokens_per_expert,          \
+      const int concurrency, const float act_limit, const int act_function,    \
+      const int K_gate, const int K_up, const int K_down,                      \
+                                                                               \
+      int *__restrict__ locks
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_moe_kernel.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_moe_kernel.cuh
index ff2c192ac7..e9e05dddfe 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/exl3_moe_kernel.cuh
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/exl3_moe_kernel.cuh
@@ -1,51 +1,29 @@
 #pragma once
 
+#include <cuda_bf16.h>
+#include <cublas_v2.h>
+#include <stdio.h>
+#include <stdlib.h>
+
+#include "exl3_moe_common.cuh"
+#include "../util.h"
+#include "../util.cuh"
 #include "exl3_kernel_map.cuh"
 #include "hadamard_inner.cuh"
 #include "exl3_gemm_inner.cuh"
 #include "exl3_devctx.cuh"
 #include "../ptx.cuh"
 
-#define MOE_ACT_SILU 0
-#define MOE_ACT_GELU 1
-
-#define MOE_SMS_PER_EXPERT 12
-#define MOE_TILESIZE_K 32
-#define MOE_TILESIZE_M 16
-#define MOE_SH_STAGES 4
-#define MOE_FRAG_STAGES 3
-
-#define EXL3_MOE_KERNEL_ARGS                                                   \
-  const half *__restrict__ hidden_state, half *__restrict__ temp_state_g,      \
-      half *__restrict__ temp_state_u, half *__restrict__ temp_intermediate_g, \
-      half *__restrict__ temp_intermediate_u,                                  \
-      float *__restrict__ output_state,                                        \
-                                                                               \
-      const uint16_t **__restrict__ gate_trellis,                              \
-      const half **__restrict__ gate_suh, const half **__restrict__ gate_svh,  \
-      const uint16_t **__restrict__ up_trellis,                                \
-      const half **__restrict__ up_suh, const half **__restrict__ up_svh,      \
-      const uint16_t **__restrict__ down_trellis,                              \
-      const half **__restrict__ down_suh, const half **__restrict__ down_svh,  \
-                                                                               \
-      const int64_t *__restrict__ expert_count,                                \
-      const int64_t *__restrict__ token_sorted,                                \
-      const half *__restrict__ weight_sorted,                                  \
-                                                                               \
-      const int hidden_dim, const int intermediate_dim, const int num_experts, \
-      const int num_experts_per_tok, const int max_tokens_per_expert,          \
-      const int concurrency, const float act_limit, const int act_function,    \
-      const int K_gate, const int K_up, const int K_down,                      \
-                                                                               \
-      int *__restrict__ locks
-
-template <int t_bits, int MOE_TILESIZE_N>
+template <int t_bits, int MOE_TILESIZE_N, int cb>
 __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* MOE_TILESIZE_K /
                              16) void exl3_moe_kernel(EXL3_MOE_KERNEL_ARGS) {
   const int group_idx = blockIdx.z;
   const int block_idx = blockIdx.x;
-  const int block_threads = blockDim.x;
-  const int group_threads = MOE_SMS_PER_EXPERT * block_threads;
+  const int group_size = gridDim.x;  // SMs per expert, set at launch
+  const int num_groups = gridDim.z;
+  const int block_threads =
+      EXL3_GEMM_BASE_THREADS * MOE_TILESIZE_K / 16;  // blockDim.x
+  const int group_threads = group_size * block_threads;
   const int warp_id = threadIdx.x / 32;
   const int warps_per_group = group_threads / 32;
   const int warps_per_block = block_threads / 32;
@@ -60,9 +38,20 @@ __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* MOE_TILESIZE_K /
   // Barriers for group sync
   int* barrier_counters_sense = locks + BARRIER_LOCKS_OFFSET;
 
+  // Expert scheduler state, self-resetting: [0] next ticket, [1] retired
+  // groups, [2 + g] ticket for group g
+  int* sched = locks + MOE_SCHED_OFFSET;
+
   // Individual GEMM barriers per group
   locks += group_idx * MAX(hidden_dim, intermediate_dim) / 128;
 
+  // Dynamic expert assignment: active experts are numbered in scan order, and
+  // each group processes the active expert matching its current ticket. Initial
+  // tickets are the group indices; after finishing an expert, a group draws the
+  // next unclaimed ticket, so load balances greedily without assuming uniform
+  // cost per expert
+  int ticket = group_idx;
+
   // Loop over experts
   int start = 0;
   int end = 0;
@@ -79,8 +68,8 @@ __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* MOE_TILESIZE_K /
     if (token_count == 0) continue;
     if (token_count > max_tokens_per_expert) continue;
 
-    // Skip if expert is assigned to different group
-    if (expert_idx_assign++ % concurrency != group_idx) continue;
+    // Skip if expert is claimed by a different group
+    if (expert_idx_assign++ != ticket) continue;
 
     // EXL3 weights for g, u, d
     const uint16_t* exp_gate_trellis = gate_trellis[expert_idx];
@@ -93,7 +82,9 @@ __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* MOE_TILESIZE_K /
     const half* exp_down_suh = down_suh[expert_idx];
     const half* exp_down_svh = down_svh[expert_idx];
 
-    // Gather + input hadamard for g, u
+    // Gather + input hadamard for g, u. Non-gated mode skips the g staging (and
+    // the g GEMM below); the activation synthesizes the gate lane from u
+    const bool gated = act_function != MOE_ACT_RELU2_NOGATE;
     auto had_gather_gu_in = [&]() {
       const int warps_per_token = hidden_dim / 128;
       const int total_warps = token_count * warps_per_token;
@@ -104,14 +95,15 @@ __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* MOE_TILESIZE_K /
         int token_off = warp_idx % warps_per_token;
         const half* in_ptr =
             hidden_state + token_idx * hidden_dim + token_off * 128;
-        had_hf_r_128_inner(in_ptr, temp_state_g + 128 * warp_idx,
-                           exp_gate_suh + 128 * token_off, nullptr,
-                           0.088388347648f);
-        had_hf_r_128_inner(in_ptr, temp_state_u + 128 * warp_idx,
-                           exp_up_suh + 128 * token_off, nullptr,
-                           0.088388347648f);
+        if (gated)
+          had_hf_r_128_inner<true, false>(in_ptr, temp_state_g + 128 * warp_idx,
+                                          exp_gate_suh + 128 * token_off,
+                                          0.088388347648f);
+        had_hf_r_128_inner<true, false>(in_ptr, temp_state_u + 128 * warp_idx,
+                                        exp_up_suh + 128 * token_off,
+                                        0.088388347648f);
       }
-      group_barrier(group_idx, MOE_SMS_PER_EXPERT, barrier_counters_sense);
+      group_barrier(group_idx, group_size, barrier_counters_sense);
     };
 
     had_gather_gu_in();
@@ -121,37 +113,38 @@ __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* MOE_TILESIZE_K /
                        const uint16_t* trellis, const int K) {
       int size_m = token_count;
       while (size_m > 0) {
-#define ARGS \
-  in_addr, trellis, out_addr, size_m, hidden_dim, intermediate_dim, locks
+#define ARGS                                                                 \
+  in_addr, trellis, out_addr, MIN(size_m, 16), hidden_dim, intermediate_dim, \
+      locks, nullptr
 #define SHAPE_ARGS \
   MOE_TILESIZE_M, MOE_TILESIZE_K, MOE_TILESIZE_N, MOE_SH_STAGES, MOE_FRAG_STAGES
         if constexpr (t_bits)
-          exl3_gemm_kernel_inner<t_bits, false, 1, SHAPE_ARGS>(ARGS);
+          exl3_gemm_kernel_inner<t_bits, false, cb, SHAPE_ARGS, false>(ARGS);
         else
           switch (K) {
             case 1:
-              exl3_gemm_kernel_inner<1, false, 1, SHAPE_ARGS>(ARGS);
+              exl3_gemm_kernel_inner<1, false, cb, SHAPE_ARGS, false>(ARGS);
               break;
             case 2:
-              exl3_gemm_kernel_inner<2, false, 1, SHAPE_ARGS>(ARGS);
+              exl3_gemm_kernel_inner<2, false, cb, SHAPE_ARGS, false>(ARGS);
               break;
             case 3:
-              exl3_gemm_kernel_inner<3, false, 1, SHAPE_ARGS>(ARGS);
+              exl3_gemm_kernel_inner<3, false, cb, SHAPE_ARGS, false>(ARGS);
               break;
             case 4:
-              exl3_gemm_kernel_inner<4, false, 1, SHAPE_ARGS>(ARGS);
+              exl3_gemm_kernel_inner<4, false, cb, SHAPE_ARGS, false>(ARGS);
               break;
             case 5:
-              exl3_gemm_kernel_inner<5, false, 1, SHAPE_ARGS>(ARGS);
+              exl3_gemm_kernel_inner<5, false, cb, SHAPE_ARGS, false>(ARGS);
               break;
             case 6:
-              exl3_gemm_kernel_inner<6, false, 1, SHAPE_ARGS>(ARGS);
+              exl3_gemm_kernel_inner<6, false, cb, SHAPE_ARGS, false>(ARGS);
               break;
             case 7:
-              exl3_gemm_kernel_inner<7, false, 1, SHAPE_ARGS>(ARGS);
+              exl3_gemm_kernel_inner<7, false, cb, SHAPE_ARGS, false>(ARGS);
               break;
             case 8:
-              exl3_gemm_kernel_inner<8, false, 1, SHAPE_ARGS>(ARGS);
+              exl3_gemm_kernel_inner<8, false, cb, SHAPE_ARGS, false>(ARGS);
               break;
           };
 #undef ARGS
@@ -160,12 +153,13 @@ __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* MOE_TILESIZE_K /
         in_addr += 16 * hidden_dim;
         out_addr += 16 * intermediate_dim;
         size_m -= 16;
-        group_barrier(group_idx, MOE_SMS_PER_EXPERT, barrier_counters_sense);
       }
     };
 
-    gemm_up(temp_state_g, temp_intermediate_g, exp_gate_trellis, K_gate);
+    if (gated)
+      gemm_up(temp_state_g, temp_intermediate_g, exp_gate_trellis, K_gate);
     gemm_up(temp_state_u, temp_intermediate_u, exp_up_trellis, K_up);
+    group_barrier(group_idx, group_size, barrier_counters_sense);
 
     // Output hadamard for g, u + activation+gate + input hadamard for d
     auto had_guad = [&]() {
@@ -182,7 +176,7 @@ __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* MOE_TILESIZE_K /
                                 exp_down_suh + 128 * token_off, 0.088388347648f,
                                 act_limit, act_function);
       }
-      group_barrier(group_idx, MOE_SMS_PER_EXPERT, barrier_counters_sense);
+      group_barrier(group_idx, group_size, barrier_counters_sense);
     };
 
     had_guad();
@@ -192,37 +186,38 @@ __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* MOE_TILESIZE_K /
                          const uint16_t* trellis, const int K) {
       int size_m = token_count;
       while (size_m > 0) {
-#define ARGS \
-  in_addr, trellis, out_addr, size_m, intermediate_dim, hidden_dim, locks
+#define ARGS                                                                 \
+  in_addr, trellis, out_addr, MIN(size_m, 16), intermediate_dim, hidden_dim, \
+      locks, nullptr
 #define SHAPE_ARGS \
   MOE_TILESIZE_M, MOE_TILESIZE_K, MOE_TILESIZE_N, MOE_SH_STAGES, MOE_FRAG_STAGES
         if constexpr (t_bits)
-          exl3_gemm_kernel_inner<t_bits, false, 1, SHAPE_ARGS>(ARGS);
+          exl3_gemm_kernel_inner<t_bits, false, cb, SHAPE_ARGS, false>(ARGS);
         else
           switch (K) {
             case 1:
-              exl3_gemm_kernel_inner<1, false, 1, SHAPE_ARGS>(ARGS);
+              exl3_gemm_kernel_inner<1, false, cb, SHAPE_ARGS, false>(ARGS);
               break;
             case 2:
-              exl3_gemm_kernel_inner<2, false, 1, SHAPE_ARGS>(ARGS);
+              exl3_gemm_kernel_inner<2, false, cb, SHAPE_ARGS, false>(ARGS);
               break;
             case 3:
-              exl3_gemm_kernel_inner<3, false, 1, SHAPE_ARGS>(ARGS);
+              exl3_gemm_kernel_inner<3, false, cb, SHAPE_ARGS, false>(ARGS);
               break;
             case 4:
-              exl3_gemm_kernel_inner<4, false, 1, SHAPE_ARGS>(ARGS);
+              exl3_gemm_kernel_inner<4, false, cb, SHAPE_ARGS, false>(ARGS);
               break;
             case 5:
-              exl3_gemm_kernel_inner<5, false, 1, SHAPE_ARGS>(ARGS);
+              exl3_gemm_kernel_inner<5, false, cb, SHAPE_ARGS, false>(ARGS);
               break;
             case 6:
-              exl3_gemm_kernel_inner<6, false, 1, SHAPE_ARGS>(ARGS);
+              exl3_gemm_kernel_inner<6, false, cb, SHAPE_ARGS, false>(ARGS);
               break;
             case 7:
-              exl3_gemm_kernel_inner<7, false, 1, SHAPE_ARGS>(ARGS);
+              exl3_gemm_kernel_inner<7, false, cb, SHAPE_ARGS, false>(ARGS);
               break;
             case 8:
-              exl3_gemm_kernel_inner<8, false, 1, SHAPE_ARGS>(ARGS);
+              exl3_gemm_kernel_inner<8, false, cb, SHAPE_ARGS, false>(ARGS);
               break;
           };
 #undef ARGS
@@ -231,11 +226,11 @@ __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* MOE_TILESIZE_K /
         in_addr += 16 * intermediate_dim;
         out_addr += 16 * hidden_dim;
         size_m -= 16;
-        group_barrier(group_idx, MOE_SMS_PER_EXPERT, barrier_counters_sense);
       }
     };
 
     gemm_down(temp_intermediate_g, temp_state_g, exp_down_trellis, K_down);
+    group_barrier(group_idx, group_size, barrier_counters_sense);
 
     // Output hadamard for d + scatter add
     auto had_d_out = [&]() {
@@ -254,9 +249,31 @@ __global__ __launch_bounds__(EXL3_GEMM_BASE_THREADS* MOE_TILESIZE_K /
                              exp_down_svh + 128 * token_off,
                              0.088388347648f * __half2float(weight));
       }
-      group_barrier(group_idx, MOE_SMS_PER_EXPERT, barrier_counters_sense);
     };
 
     had_d_out();
+
+    // Draw the next ticket and publish it to the group through the
+    // end-of-expert barrier, which also protects the temp buffers for reuse.
+    // Grabbed tickets continue from num_groups since 0..num_groups-1 are
+    // implicit
+    if (block_idx == 0 && threadIdx.x == 0)
+      sched[2 + group_idx] = num_groups + atomicAdd(&sched[0], 1);
+    group_barrier(group_idx, group_size, barrier_counters_sense);
+    ticket = sched[2 + group_idx];
+  }
+
+  // Retire group; last group out resets the scheduler for the next launch. The
+  // acq_rel increment orders each group's earlier ticket grabs before the last
+  // group's reset (plain atomics are relaxed, so without this a straggler's
+  // in-flight grab could land after the reset and leak into the next launch)
+  if (block_idx == 0 && threadIdx.x == 0) {
+    cuda::atomic_ref<int, cuda::thread_scope_device> next_ticket(sched[0]);
+    cuda::atomic_ref<int, cuda::thread_scope_device> retired_groups(sched[1]);
+    int retired = retired_groups.fetch_add(1, cuda::memory_order_acq_rel);
+    if (retired == num_groups - 1) {
+      next_ticket.store(0, cuda::memory_order_relaxed);
+      retired_groups.store(0, cuda::memory_order_relaxed);
+    }
   }
 }
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/hadamard.cu b/csrc/quantization/exl3/exllamav3_ext/quant/hadamard.cu
index 0cd6bf047c..b88ffb4664 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/hadamard.cu
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/hadamard.cu
@@ -4,52 +4,58 @@
 #include "../util.cuh"
 #include "hadamard_inner.cuh"
 
+template <bool pre_scale, bool post_scale>
 __global__ __launch_bounds__(32) void had_hf_r_128_kernel(
     const half* __restrict__ input_ptr, half* __restrict__ output_ptr,
-    const half* __restrict__ pre_scale, const half* __restrict__ post_scale,
-    const float r_scale) {
-  input_ptr += gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
-  output_ptr += gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
-  had_hf_r_128_inner(input_ptr, output_ptr, pre_scale, post_scale, r_scale);
+    const half* __restrict__ scale, const float r_scale) {
+  input_ptr += (size_t)gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
+  output_ptr += (size_t)gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
+  had_hf_r_128_inner<pre_scale, post_scale>(input_ptr, output_ptr, scale,
+                                            r_scale);
 }
 
+template <bool pre_scale, bool post_scale>
 __global__ __launch_bounds__(32) void had_ff_r_128_kernel(
     const float* __restrict__ input_ptr, float* __restrict__ output_ptr,
-    const half* __restrict__ pre_scale, const half* __restrict__ post_scale,
-    const float r_scale) {
-  input_ptr += gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
-  output_ptr += gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
-  had_ff_r_128_inner(input_ptr, output_ptr, pre_scale, post_scale, r_scale);
+    const half* __restrict__ scale, const float r_scale) {
+  input_ptr += (size_t)gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
+  output_ptr += (size_t)gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
+  had_ff_r_128_inner<pre_scale, post_scale>(input_ptr, output_ptr, scale,
+                                            r_scale);
 }
 
+template <bool pre_scale, bool post_scale>
 __global__ __launch_bounds__(32) void had_hf_r_128_dual_kernel(
     const half* __restrict__ input1_ptr, half* __restrict__ output1_ptr,
-    const half* __restrict__ pre1_scale, const half* __restrict__ post1_scale,
-    const half* __restrict__ input2_ptr, half* __restrict__ output2_ptr,
-    const half* __restrict__ pre2_scale, const half* __restrict__ post2_scale,
+    const half* __restrict__ scale_1, const half* __restrict__ input2_ptr,
+    half* __restrict__ output2_ptr, const half* __restrict__ scale_2,
     const float r_scale) {
-  input1_ptr += gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
-  output1_ptr += gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
-  had_hf_r_128_inner(input1_ptr, output1_ptr, pre1_scale, post1_scale, r_scale);
-
-  input2_ptr += gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
-  output2_ptr += gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
-  had_hf_r_128_inner(input2_ptr, output2_ptr, pre2_scale, post2_scale, r_scale);
+  input1_ptr += (size_t)gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
+  output1_ptr += (size_t)gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
+  had_hf_r_128_inner<pre_scale, post_scale>(input1_ptr, output1_ptr, scale_1,
+                                            r_scale);
+
+  input2_ptr += (size_t)gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
+  output2_ptr += (size_t)gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
+  had_hf_r_128_inner<pre_scale, post_scale>(input2_ptr, output2_ptr, scale_2,
+                                            r_scale);
 }
 
+template <bool pre_scale, bool post_scale>
 __global__ __launch_bounds__(32) void had_ff_r_128_dual_kernel(
     const float* __restrict__ input1_ptr, float* __restrict__ output1_ptr,
-    const half* __restrict__ pre1_scale, const half* __restrict__ post1_scale,
-    const float* __restrict__ input2_ptr, float* __restrict__ output2_ptr,
-    const half* __restrict__ pre2_scale, const half* __restrict__ post2_scale,
+    const half* __restrict__ scale_1, const float* __restrict__ input2_ptr,
+    float* __restrict__ output2_ptr, const half* __restrict__ scale_2,
     const float r_scale) {
-  input1_ptr += gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
-  output1_ptr += gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
-  had_ff_r_128_inner(input1_ptr, output1_ptr, pre1_scale, post1_scale, r_scale);
-
-  input2_ptr += gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
-  output2_ptr += gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
-  had_ff_r_128_inner(input2_ptr, output2_ptr, pre2_scale, post2_scale, r_scale);
+  input1_ptr += (size_t)gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
+  output1_ptr += (size_t)gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
+  had_ff_r_128_inner<pre_scale, post_scale>(input1_ptr, output1_ptr, scale_1,
+                                            r_scale);
+
+  input2_ptr += (size_t)gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
+  output2_ptr += (size_t)gridDim.y * 128 * blockIdx.x + blockIdx.y * 128;
+  had_ff_r_128_inner<pre_scale, post_scale>(input2_ptr, output2_ptr, scale_2,
+                                            r_scale);
 }
 
 /*
@@ -78,19 +84,35 @@ void had_r_128(const at::Tensor& input, const at::Tensor& output,
 
   if (input.scalar_type() == at::kHalf) {
     TORCH_CHECK_DTYPE(output, kHalf);
-    had_hf_r_128_kernel<<<gridDim, blockDim, 0, stream>>>(
-        (const half*)input.data_ptr(), (half*)output.data_ptr(),
-        (const half*)OPTPTR(pre_scale), (const half*)OPTPTR(post_scale),
-        r_scale);
+    if (pre_scale.has_value())
+      had_hf_r_128_kernel<true, false><<<gridDim, blockDim, 0, stream>>>(
+          (const half*)input.data_ptr(), (half*)output.data_ptr(),
+          (const half*)OPTPTR(pre_scale), r_scale);
+    else if (post_scale.has_value())
+      had_hf_r_128_kernel<false, true><<<gridDim, blockDim, 0, stream>>>(
+          (const half*)input.data_ptr(), (half*)output.data_ptr(),
+          (const half*)OPTPTR(post_scale), r_scale);
+    else
+      had_hf_r_128_kernel<false, false><<<gridDim, blockDim, 0, stream>>>(
+          (const half*)input.data_ptr(), (half*)output.data_ptr(),
+          (const half*)nullptr, r_scale);
     cuda_check(cudaPeekAtLastError());
   }
 
   else if (input.scalar_type() == at::kFloat) {
     TORCH_CHECK_DTYPE(output, kFloat);
-    had_ff_r_128_kernel<<<gridDim, blockDim, 0, stream>>>(
-        (const float*)input.data_ptr(), (float*)output.data_ptr(),
-        (const half*)OPTPTR(pre_scale), (const half*)OPTPTR(post_scale),
-        r_scale);
+    if (pre_scale.has_value())
+      had_ff_r_128_kernel<true, false><<<gridDim, blockDim, 0, stream>>>(
+          (const float*)input.data_ptr(), (float*)output.data_ptr(),
+          (const half*)OPTPTR(pre_scale), r_scale);
+    else if (post_scale.has_value())
+      had_ff_r_128_kernel<false, true><<<gridDim, blockDim, 0, stream>>>(
+          (const float*)input.data_ptr(), (float*)output.data_ptr(),
+          (const half*)OPTPTR(post_scale), r_scale);
+    else
+      had_ff_r_128_kernel<false, false><<<gridDim, blockDim, 0, stream>>>(
+          (const float*)input.data_ptr(), (float*)output.data_ptr(),
+          (const half*)nullptr, r_scale);
     cuda_check(cudaPeekAtLastError());
   }
 
@@ -117,6 +139,10 @@ void had_r_128_dual(const at::Tensor& input1, const at::Tensor& output1,
   int rows = input1.size(0);
   int cols = input1.size(1);
 
+  TORCH_CHECK(pre_scale1.has_value() == pre_scale2.has_value() &&
+                  post_scale1.has_value() == post_scale2.has_value(),
+              "Cannot mix scaling modes in dual had")
+
   int blocks = cols / 128;
   float r_scale = scale * 0.088388347648f;  // scale / sqrt(128)
 
@@ -125,23 +151,42 @@ void had_r_128_dual(const at::Tensor& input1, const at::Tensor& output1,
 
   if (input1.scalar_type() == at::kHalf) {
     TORCH_CHECK_DTYPE(output1, kHalf);
-    had_hf_r_128_dual_kernel<<<gridDim, blockDim, 0, stream>>>(
-        (const half*)input1.data_ptr(), (half*)output1.data_ptr(),
-        (const half*)OPTPTR(pre_scale1), (const half*)OPTPTR(post_scale1),
-        (const half*)input2.data_ptr(), (half*)output2.data_ptr(),
-        (const half*)OPTPTR(pre_scale2), (const half*)OPTPTR(post_scale2),
-        r_scale);
+    if (pre_scale1.has_value())
+      had_hf_r_128_dual_kernel<true, false><<<gridDim, blockDim, 0, stream>>>(
+          (const half*)input1.data_ptr(), (half*)output1.data_ptr(),
+          (const half*)OPTPTR(pre_scale1), (const half*)input2.data_ptr(),
+          (half*)output2.data_ptr(), (const half*)OPTPTR(pre_scale2), r_scale);
+    else if (post_scale1.has_value())
+      had_hf_r_128_dual_kernel<false, true><<<gridDim, blockDim, 0, stream>>>(
+          (const half*)input1.data_ptr(), (half*)output1.data_ptr(),
+          (const half*)OPTPTR(post_scale1), (const half*)input2.data_ptr(),
+          (half*)output2.data_ptr(), (const half*)OPTPTR(post_scale2), r_scale);
+    else
+      had_hf_r_128_dual_kernel<false, false><<<gridDim, blockDim, 0, stream>>>(
+          (const half*)input1.data_ptr(), (half*)output1.data_ptr(),
+          (const half*)nullptr, (const half*)input2.data_ptr(),
+          (half*)output2.data_ptr(), (const half*)nullptr, r_scale);
     cuda_check(cudaPeekAtLastError());
   }
 
   else if (input1.scalar_type() == at::kFloat) {
     TORCH_CHECK_DTYPE(output1, kFloat);
-    had_ff_r_128_dual_kernel<<<gridDim, blockDim, 0, stream>>>(
-        (const float*)input1.data_ptr(), (float*)output1.data_ptr(),
-        (const half*)OPTPTR(pre_scale1), (const half*)OPTPTR(post_scale1),
-        (const float*)input2.data_ptr(), (float*)output2.data_ptr(),
-        (const half*)OPTPTR(pre_scale2), (const half*)OPTPTR(post_scale2),
-        r_scale);
+    if (pre_scale1.has_value())
+      had_ff_r_128_dual_kernel<true, false><<<gridDim, blockDim, 0, stream>>>(
+          (const float*)input1.data_ptr(), (float*)output1.data_ptr(),
+          (const half*)OPTPTR(pre_scale1), (const float*)input2.data_ptr(),
+          (float*)output2.data_ptr(), (const half*)OPTPTR(pre_scale2), r_scale);
+    else if (post_scale1.has_value())
+      had_ff_r_128_dual_kernel<false, true><<<gridDim, blockDim, 0, stream>>>(
+          (const float*)input1.data_ptr(), (float*)output1.data_ptr(),
+          (const half*)OPTPTR(post_scale1), (const float*)input2.data_ptr(),
+          (float*)output2.data_ptr(), (const half*)OPTPTR(post_scale2),
+          r_scale);
+    else
+      had_ff_r_128_dual_kernel<false, false><<<gridDim, blockDim, 0, stream>>>(
+          (const float*)input1.data_ptr(), (float*)output1.data_ptr(),
+          (const half*)nullptr, (const float*)input2.data_ptr(),
+          (float*)output2.data_ptr(), (const half*)nullptr, r_scale);
     cuda_check(cudaPeekAtLastError());
   }
 
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/hadamard_inner.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/hadamard_inner.cuh
index e4d8c7ddcf..6339051222 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/hadamard_inner.cuh
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/hadamard_inner.cuh
@@ -3,6 +3,10 @@
 
 #define ACT_SILU 0
 #define ACT_GELU 1
+// Non-gated relu2 (NemotronH): the g input is unused (its GEMM is skipped by
+// the caller); the gate lane is set to relu(u) so the gate multiply below
+// yields relu(u) * u = relu^2(u) exactly
+#define ACT_RELU2_NOGATE 2
 
 // Hadamard transform 128-element vector across one warp, with optional pre and
 // post scales
@@ -82,10 +86,10 @@ __device__ inline half2 shuffle_had_h2x32(half2 v, int lane_id) {
 
 // Half vector, half scales
 
+template <bool pre_scale, bool post_scale>
 inline __device__ void had_hf_r_128_inner(const half* __restrict__ input_ptr,
                                           half* __restrict__ output_ptr,
-                                          const half* __restrict__ pre_scale,
-                                          const half* __restrict__ post_scale,
+                                          const half* __restrict__ scale,
                                           const float r_scale) {
   int t = threadIdx.x & 31;
 
@@ -93,9 +97,9 @@ inline __device__ void had_hf_r_128_inner(const half* __restrict__ input_ptr,
   half4 v = ((half4*)input_ptr)[t];
 
   // Pre scale
-  if (pre_scale) {
+  if constexpr (pre_scale) {
     int i = blockIdx.y * 32 + t;
-    half4 scales = ((half4*)pre_scale)[i];
+    half4 scales = ((half4*)scale)[i];
     v.x = __hmul2(v.x, scales.x);
     v.y = __hmul2(v.y, scales.y);
   }
@@ -120,9 +124,9 @@ inline __device__ void had_hf_r_128_inner(const half* __restrict__ input_ptr,
   v.y = __floats2half2_rn(h2 * r_scale, h3 * r_scale);
 
   // Post scale
-  if (post_scale) {
+  if constexpr (post_scale) {
     int i = blockIdx.y * 32 + t;
-    half4 scales = ((half4*)post_scale)[i];
+    half4 scales = ((half4*)scale)[i];
     v.x = __hmul2(v.x, scales.x);
     v.y = __hmul2(v.y, scales.y);
   }
@@ -133,10 +137,10 @@ inline __device__ void had_hf_r_128_inner(const half* __restrict__ input_ptr,
 
 // Float vector, half scales
 
+template <bool pre_scale, bool post_scale>
 inline __device__ void had_ff_r_128_inner(const float* __restrict__ input_ptr,
                                           float* __restrict__ output_ptr,
-                                          const half* __restrict__ pre_scale,
-                                          const half* __restrict__ post_scale,
+                                          const half* __restrict__ scale,
                                           const float r_scale) {
   int t = threadIdx.x & 31;
 
@@ -144,9 +148,9 @@ inline __device__ void had_ff_r_128_inner(const float* __restrict__ input_ptr,
   float4 v = ((float4*)input_ptr)[t];
 
   // Pre scale
-  if (pre_scale) {
+  if constexpr (pre_scale) {
     int i = blockIdx.y * 32 + t;
-    half4 scales = ((half4*)pre_scale)[i];
+    half4 scales = ((half4*)scale)[i];
     v.x *= __low2float(scales.x);
     v.y *= __high2float(scales.x);
     v.z *= __low2float(scales.y);
@@ -176,9 +180,9 @@ inline __device__ void had_ff_r_128_inner(const float* __restrict__ input_ptr,
   v.w *= r_scale;
 
   // Post scale
-  if (post_scale) {
+  if constexpr (post_scale) {
     int i = blockIdx.y * 32 + t;
-    half4 scales = ((half4*)post_scale)[i];
+    half4 scales = ((half4*)scale)[i];
     v.x *= __low2float(scales.x);
     v.y *= __high2float(scales.x);
     v.z *= __low2float(scales.y);
@@ -189,6 +193,66 @@ inline __device__ void had_ff_r_128_inner(const float* __restrict__ input_ptr,
   ((float4*)output_ptr)[t] = v;
 }
 
+// Float vector, half scales, half output
+
+template <bool pre_scale, bool post_scale>
+inline __device__ void had_fh_r_128_inner(const float* __restrict__ input_ptr,
+                                          half* __restrict__ output_ptr,
+                                          const half* __restrict__ scale,
+                                          const float r_scale) {
+  int t = threadIdx.x & 31;
+
+  // Load
+  float4 v = ((float4*)input_ptr)[t];
+
+  // Pre scale
+  if constexpr (pre_scale) {
+    int i = blockIdx.y * 32 + t;
+    half4 scales = ((half4*)scale)[i];
+    v.x *= __low2float(scales.x);
+    v.y *= __high2float(scales.x);
+    v.z *= __low2float(scales.y);
+    v.w *= __high2float(scales.y);
+  }
+
+  // 4 element had
+  float v0 = v.x;
+  float v1 = v.y;
+  float v2 = v.z;
+  float v3 = v.w;
+  float s0 = v0 + v1;
+  float d0 = v0 - v1;
+  float s1 = v2 + v3;
+  float d1 = v2 - v3;
+  v.x = s0 + s1;
+  v.y = d0 + d1;
+  v.z = s0 - s1;
+  v.w = d0 - d1;
+
+  // 32 element had, warp shuffle
+  shuffle_had_f2x32(v.x, v.y, t);
+  shuffle_had_f2x32(v.z, v.w, t);
+  v.x *= r_scale;
+  v.y *= r_scale;
+  v.z *= r_scale;
+  v.w *= r_scale;
+
+  half4 o;
+  o.x = __floats2half2_rn(v.x, v.y);
+  o.y = __floats2half2_rn(v.z, v.w);
+
+  // Post scale
+  if constexpr (post_scale) {
+    int i = blockIdx.y * 32 + t;
+    half4 scales = ((half4*)scale)[i];
+    o.x = __hmul2(o.x, scales.x);
+    o.y = __hmul2(o.y, scales.y);
+  }
+
+  // Store
+  ((half4*)output_ptr)[t] = o;
+}
+
 // Fused op: o <- in_had(silu(out_had(g)) * out_had(u))
 
 inline __device__ void had_hf_r_128_guad_inner(
@@ -241,23 +305,28 @@ inline __device__ void had_hf_r_128_guad_inner(
     return __float22half2_rn(xf);
   };
 
-  // Load
-  half4 vg = ((half4*)input_ptr_g)[t];
+  // Load. In non-gated mode the g buffer holds no data (its GEMM is skipped);
+  // the gate lane is synthesized from u in the activation switch below
+  half4 vg = {};
   half4 vu = ((half4*)input_ptr_u)[t];
 
   // Hadamard
-  vg = had(vg);
   vu = had(vu);
 
   // Post scale  TODO: should maybe do this in float32
   int i = blockIdx.y * 32 + t;
-  half4 scales_g = ((half4*)post_scale_g)[i];
   half4 scales_u = ((half4*)post_scale_u)[i];
-  vg.x = __hmul2(vg.x, scales_g.x);
-  vg.y = __hmul2(vg.y, scales_g.y);
   vu.x = __hmul2(vu.x, scales_u.x);
   vu.y = __hmul2(vu.y, scales_u.y);
 
+  if (act_function != ACT_RELU2_NOGATE) {
+    vg = ((half4*)input_ptr_g)[t];
+    vg = had(vg);
+    half4 scales_g = ((half4*)post_scale_g)[i];
+    vg.x = __hmul2(vg.x, scales_g.x);
+    vg.y = __hmul2(vg.y, scales_g.y);
+  }
+
   // Activation
   switch (act_function) {
     case ACT_SILU:
@@ -270,6 +339,11 @@ inline __device__ void had_hf_r_128_guad_inner(
       vg.y = _gelu(vg.y);
       break;
 
+    case ACT_RELU2_NOGATE:
+      vg.x = __hmax2(vu.x, __float2half2_rn(0.0f));
+      vg.y = __hmax2(vu.y, __float2half2_rn(0.0f));
+      break;
+
     default:
       break;
   }
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/reconstruct.cu b/csrc/quantization/exl3/exllamav3_ext/quant/reconstruct.cu
index 1d45ffaa75..0483b21f83 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/reconstruct.cu
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/reconstruct.cu
@@ -5,11 +5,10 @@
 #include "../ptx.cuh"
 #include "exl3_dq.cuh"
 
-// TODO: Benchmark, profile, unit test
-
 template <int K, int cb>
 __global__ __launch_bounds__(256) void reconstruct_kernel(
-    half* __restrict__ g_unpacked, const uint16_t* __restrict__ g_packed) {
+    half* __restrict__ g_unpacked, const uint16_t* __restrict__ g_packed,
+    int packed_blocks_n, int packed_n_offset) {
   constexpr int packed_size = 256 * K / 16;  // in uint16s
 
   int t = threadIdx.x;
@@ -18,13 +17,12 @@ __global__ __launch_bounds__(256) void reconstruct_kernel(
   int k = blockIdx.y;
   int n = blockIdx.x * 8;
   int tiles_n = gridDim.x;
-  int blocks_n = tiles_n * 8;
+  int out_blocks_n = tiles_n * 8;
 
   // Load packed 16*128 tile
   __shared__ uint32_t s_packed[8][packed_size / 2];
-  g_packed += (k * blocks_n + n) * packed_size;
-  for (int s = t; s < packed_size * 8 / 8; s += 256)
-    ((int4*)s_packed)[t] = ((int4*)g_packed)[t];
+  g_packed += (k * packed_blocks_n + packed_n_offset + n) * packed_size;
+  if (t < packed_size) ((int4*)s_packed)[t] = ((int4*)g_packed)[t];
   __syncthreads();
 
   // Dequant
@@ -39,7 +37,6 @@ __global__ __launch_bounds__(256) void reconstruct_kernel(
   half2 n1 = __shfl_down_sync(0xFFFFFFFF, frag[0][1], 4, 32);
   half2 n2 = __shfl_down_sync(0xFFFFFFFF, frag[1][0], 4, 32);
   half2 n3 = __shfl_down_sync(0xFFFFFFFF, frag[1][1], 4, 32);
-  __syncwarp();
 
   if (!(lane_id & 4)) {
     half2 m0 = __halves2half2(__low2half(frag[0][0]), __low2half(n0));
@@ -72,7 +69,7 @@ __global__ __launch_bounds__(256) void reconstruct_kernel(
   int c = t % 16;
   int4* tile_int4 = (reinterpret_cast<int4*>(tile));
   int4* out_int4 =
-      ((int4*)g_unpacked) + (k * 16 + r) * 2 * blocks_n + n * 2 + c;
+      ((int4*)g_unpacked) + (k * 16 + r) * 2 * out_blocks_n + n * 2 + c;
   *out_int4 = tile_int4[t];
 }
 
@@ -87,19 +84,30 @@ constexpr auto reconstruct_kernel_instances =
 /*
 Reconstruct encoded+packed tensor
 */
-void reconstruct(at::Tensor unpacked, at::Tensor packed, int K, bool mcg,
-                 bool mul1) {
+void reconstruct_slice(at::Tensor unpacked, at::Tensor packed, int K, bool mcg,
+                       bool mul1, int64_t n_offset) {
   const torch::stable::accelerator::DeviceGuard device_guard(
       unpacked.get_device_index());
   cudaStream_t stream = get_current_cuda_stream(unpacked.get_device_index());
 
   TORCH_CHECK_SHAPES(unpacked, 0, packed, 0, 16);
-  TORCH_CHECK_SHAPES(unpacked, 1, packed, 1, 16);
   TORCH_CHECK_SIZE(packed, 2, 256 * K / 16);
   TORCH_CHECK_DTYPE(unpacked, kHalf);
 
   int rows = packed.size(0);
-  int cols = packed.size(1);
+  int packed_cols = packed.size(1);
+
+  if (unpacked.numel() == 0) return;
+
+  TORCH_CHECK(unpacked.size(1) % 128 == 0,
+              "unpacked N dimension must be divisible by 128");
+  TORCH_CHECK(n_offset % 128 == 0, "n_offset must be divisible by 128");
+  TORCH_CHECK(n_offset >= 0, "n_offset must be non-negative");
+  TORCH_CHECK(n_offset + unpacked.size(1) <= packed.size(1) * 16,
+              "reconstruct slice exceeds packed tensor bounds");
+
+  int cols = unpacked.size(1) / 16;
+  int packed_n_offset = n_offset / 16;
 
   dim3 blockDim(256);
   dim3 gridDim(cols / 8, rows);
@@ -111,6 +119,13 @@ void reconstruct(at::Tensor unpacked, at::Tensor packed, int K, bool mcg,
     cbi += 16;
 
   reconstruct_kernel_instances[cbi]<<<gridDim, blockDim, 0, stream>>>(
-      (half*)unpacked.data_ptr(), (const uint16_t*)packed.data_ptr());
+      (half*)unpacked.data_ptr(), (const uint16_t*)packed.data_ptr(),
+      packed_cols, packed_n_offset);
   cuda_check(cudaPeekAtLastError());
 }
+
+void reconstruct(at::Tensor unpacked, at::Tensor packed, int K, bool mcg,
+                 bool mul1) {
+  TORCH_CHECK_SHAPES(unpacked, 1, packed, 1, 16);
+  reconstruct_slice(unpacked, packed, K, mcg, mul1, 0);
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/reconstruct.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/reconstruct.cuh
index e3896ba0d0..7134ae49e9 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/reconstruct.cuh
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/reconstruct.cuh
@@ -4,3 +4,6 @@
 
 void reconstruct(at::Tensor unpacked, at::Tensor packed, int K, bool mcg,
                  bool mul1);
+
+void reconstruct_slice(at::Tensor unpacked, at::Tensor packed, int K, bool mcg,
+                       bool mul1, int64_t n_offset);
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/util.cu b/csrc/quantization/exl3/exllamav3_ext/quant/util.cu
index c5407254d8..7a8722ddd3 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/util.cu
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/util.cu
@@ -87,3 +87,52 @@ void count_inf_nan(at::Tensor x, at::Tensor y) {
   else
     TORCH_CHECK(false, "Unsupported dtype");
 }
+
+__global__ void make_gate_up_indices_kernel(int64_t* out,
+                                            const int64_t* indices,
+                                            int64_t count, int64_t offset) {
+  const int64_t index = blockIdx.x * blockDim.x + threadIdx.x;
+  if (index >= count) return;
+  out[index] = indices[index];
+  out[index + count] = indices[index] + offset;
+}
+
+void exl3_make_gate_up_indices(at::Tensor out, at::Tensor indices,
+                               int64_t offset) {
+  const torch::stable::accelerator::DeviceGuard device_guard(
+      indices.get_device_index());
+  cudaStream_t stream = get_current_cuda_stream(indices.get_device_index());
+  TORCH_CHECK_DTYPE(out, kLong);
+  TORCH_CHECK_DTYPE(indices, kLong);
+  TORCH_CHECK(out.numel() == indices.numel() * 2,
+              "out must have twice as many elements as indices");
+  const int64_t count = indices.numel();
+  make_gate_up_indices_kernel<<<CEIL_DIVIDE(count, 256), 256, 0, stream>>>(
+      static_cast<int64_t*>(out.data_ptr()),
+      static_cast<const int64_t*>(indices.data_ptr()), count, offset);
+}
+
+__global__ void silu_mul_kernel(half* out, const half* gate, const half* up,
+                                int64_t count) {
+  const int64_t index = blockIdx.x * blockDim.x + threadIdx.x;
+  if (index >= count) return;
+  const float gate_f = __half2float(gate[index]);
+  out[index] = __float2half_rn((gate_f / (1.0f + __expf(-gate_f))) *
+                               __half2float(up[index]));
+}
+
+void exl3_silu_mul(at::Tensor out, at::Tensor gate, at::Tensor up) {
+  const torch::stable::accelerator::DeviceGuard device_guard(
+      gate.get_device_index());
+  cudaStream_t stream = get_current_cuda_stream(gate.get_device_index());
+  TORCH_CHECK_DTYPE(out, kHalf);
+  TORCH_CHECK_DTYPE(gate, kHalf);
+  TORCH_CHECK_DTYPE(up, kHalf);
+  TORCH_CHECK_NUMEL(out, gate);
+  TORCH_CHECK_NUMEL(out, up);
+  const int64_t count = out.numel();
+  silu_mul_kernel<<<CEIL_DIVIDE(count, 256), 256, 0, stream>>>(
+      static_cast<half*>(out.data_ptr()),
+      static_cast<const half*>(gate.data_ptr()),
+      static_cast<const half*>(up.data_ptr()), count);
+}
diff --git a/csrc/quantization/exl3/exllamav3_ext/quant/util.cuh b/csrc/quantization/exl3/exllamav3_ext/quant/util.cuh
index c63cf6c62d..314306391e 100644
--- a/csrc/quantization/exl3/exllamav3_ext/quant/util.cuh
+++ b/csrc/quantization/exl3/exllamav3_ext/quant/util.cuh
@@ -4,3 +4,8 @@
 #include <tuple>
 
 void count_inf_nan(at::Tensor x, at::Tensor y);
+
+void exl3_make_gate_up_indices(at::Tensor out, at::Tensor indices,
+                               int64_t offset);
+
+void exl3_silu_mul(at::Tensor out, at::Tensor gate, at::Tensor up);
diff --git a/csrc/quantization/exl3/exllamav3_ext/util.cuh b/csrc/quantization/exl3/exllamav3_ext/util.cuh
index 974e488c8b..d6343ae5cd 100644
--- a/csrc/quantization/exl3/exllamav3_ext/util.cuh
+++ b/csrc/quantization/exl3/exllamav3_ext/util.cuh
@@ -1,5 +1,10 @@
 #pragma once
 
+#include <cstdio>
+#include <cuda_fp16.h>
+#include <cuda_bf16.h>
+#include <cublas_v2.h>
+
 typedef struct __align__(8) half4 {
   half2 x;
   half2 y;
diff --git a/csrc/quantization/exl3/exllamav3_ext/util.h b/csrc/quantization/exl3/exllamav3_ext/util.h
index 7bdde145ab..fa150c1ae4 100644
--- a/csrc/quantization/exl3/exllamav3_ext/util.h
+++ b/csrc/quantization/exl3/exllamav3_ext/util.h
@@ -8,9 +8,8 @@
 #include <chrono>
 #include <optional>
 
-// Keep the imported exllamav3 kernel sources close to upstream while binding
-// their tensor-facing surface to PyTorch's stable ABI. These are source-level
-// aliases only; no ATen or c10 symbols are linked into the extension.
+// Bind the vendored tensor-facing API to PyTorch's stable ABI. These aliases
+// are source-level compatibility only; the extension does not link ATen/c10.
 namespace at {
 using Tensor = torch::stable::Tensor;
 inline constexpr auto kFloat = torch::headeronly::ScalarType::Float;