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Copy pathAssignment4_2.py
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92 lines (80 loc) · 3.12 KB
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import numpy as np
class RangeTree:
def __init__(self, data):
self.data = data
self.size = len(data)
self.min_tree = np.full(4 * self.size, float('inf'))
self.max_tree = np.full(4 * self.size, float('-inf'))
self._construct(0, 0, self.size - 1)
def _construct(self, idx, left, right):
if left == right:
self.min_tree[idx] = self.max_tree[idx] = self.data[left]
return
mid = (left + right) // 2
self._construct(2 * idx + 1, left, mid)
self._construct(2 * idx + 2, mid + 1, right)
self.min_tree[idx] = min(self.min_tree[2 * idx + 1], self.min_tree[2 * idx + 2])
self.max_tree[idx] = max(self.max_tree[2 * idx + 1], self.max_tree[2 * idx + 2])
def _get_min(self, idx, l, r, ql, qr):
if qr < l or ql > r:
return float('inf')
if ql <= l and r <= qr:
return self.min_tree[idx]
mid = (l + r) // 2
return min(
self._get_min(2 * idx + 1, l, mid, ql, qr),
self._get_min(2 * idx + 2, mid + 1, r, ql, qr)
)
def _get_max(self, idx, l, r, ql, qr):
if qr < l or ql > r:
return float('-inf')
if ql <= l and r <= qr:
return self.max_tree[idx]
mid = (l + r) // 2
return max(
self._get_max(2 * idx + 1, l, mid, ql, qr),
self._get_max(2 * idx + 2, mid + 1, r, ql, qr)
)
def min_range(self, ql, qr):
if ql < 0 or qr >= self.size or ql > qr:
return "Invalid range"
return self._get_min(0, 0, self.size - 1, ql, qr)
def max_range(self, ql, qr):
if ql < 0 or qr >= self.size or ql > qr:
return "Invalid range"
return self._get_max(0, 0, self.size - 1, ql, qr)
def add_value(self, val):
self.data.append(val)
self.size += 1
self.min_tree = np.full(4 * self.size, float('inf'))
self.max_tree = np.full(4 * self.size, float('-inf'))
self._construct(0, 0, self.size - 1)
def launch():
try:
n, q = map(int, input("Enter number of prices and queries: ").split())
items = list(map(int, input(f"Enter {n} prices: ").split()))
if len(items) != n:
print("Mismatch in price count.")
return
tree = RangeTree(items)
print("\nCommands:\n A x → Add x\n S l r → Min\n R l r → Max\n")
for _ in range(q):
cmd = input(">> ").split()
if not cmd:
continue
action = cmd[0]
if action == "A" and len(cmd) == 2:
tree.add_value(int(cmd[1]))
print(f"Added: {cmd[1]}")
elif action == "S" and len(cmd) == 3:
l, r = int(cmd[1]), int(cmd[2])
print(f"Min({l}-{r}) =", tree.min_range(l, r))
elif action == "R" and len(cmd) == 3:
l, r = int(cmd[1]), int(cmd[2])
print(f"Max({l}-{r}) =", tree.max_range(l, r))
else:
print("Invalid command.")
except Exception as e:
print(f"Error: {e}")
if __name__ == "__main__":
launch()