spheremap.h

/*
 * Copyright (C) 2001-2010  Terence M. Welsh
 *
 * This file is part of Helios.
 *
 * Helios is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published
 * by the Free Software Foundation; either version 2 of the License,
 * or (at your option) any later version.
 *
 * Helios is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 */


#ifndef TEXTURE_H
#define TEXTURE_H



#define TEXSIZE 256

#pragma clang diagnostic push
#pragma clang diagnostic ignored "-Wmissing-braces"

unsigned char spheremap[TEXSIZE][TEXSIZE][3] = {
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,6,4,3,11,8,6,14,10,7,22,14,9,
22,14,10,6,12,8,1,12,8,4,16,10,8,21,14,11,24,16,13,26,18,17,28,20,21,31,22,25,35,24,24,37,26,16,38,26,10,41,28,8,38,27,9,40,28,9,44,33,
9,45,36,10,45,37,12,45,35,12,46,37,13,48,39,13,48,39,12,46,38,12,46,38,12,45,36,11,44,36,12,42,34,11,39,32,9,36,29,8,31,24,8,30,23,7,24,19,
6,20,16,4,17,13,4,16,12,3,12,10,2,8,6,1,3,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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97,44,35,78,42,32,72,43,32,83,50,37,92,55,41,97,58,43,104,60,45,113,63,48,115,65,50,105,64,49,92,60,47,68,57,43,45,52,38,34,49,37,36,49,37,34,49,39,
34,48,40,27,48,39,10,45,37,10,46,38,10,47,40,10,47,41,9,47,42,10,49,43,10,48,43,11,49,44,13,50,45,14,50,45,14,50,45,13,48,44,12,47,41,11,45,39,
11,44,37,11,42,36,11,39,33,10,38,31,9,36,29,7,28,23,5,21,18,4,15,13,3,11,10,2,8,7,1,4,4,0,2,2,0,1,1,0,0,0,0,0,0,0,0,0,
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0,0,0,2,0,0,9,2,2,20,4,4,28,6,6,38,8,8,61,13,13,73,17,17,89,22,22,104,31,29,109,37,31,118,44,36,128,52,42,137,61,48,143,65,53,148,67,54,
152,71,59,153,70,61,157,72,64,162,72,67,166,72,72,166,73,74,169,74,78,170,75,86,168,74,88,159,71,86,152,69,85,142,66,84,125,61,80,121,61,82,122,61,85,120,61,85,
119,62,84,107,60,82,84,57,79,70,54,74,64,53,73,59,53,72,52,53,68,46,52,65,37,51,60,25,50,55,16,50,51,12,50,50,13,51,51,14,51,51,15,52,53,14,52,52,
14,52,51,15,52,51,15,52,50,14,51,48,14,50,47,14,49,46,13,46,42,11,42,37,11,39,34,8,34,29,7,28,24,6,23,19,4,16,14,2,9,9,1,5,5,1,3,3,
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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51,11,11,70,16,16,97,23,23,109,25,26,115,28,28,132,34,33,152,42,40,160,51,46,166,58,51,163,63,52,160,66,59,167,70,69,175,75,79,178,77,88,179,76,93,178,76,100,
182,76,107,185,77,110,187,77,117,188,77,118,190,77,122,185,74,122,177,72,123,176,72,125,177,70,126,178,71,129,175,73,126,175,73,127,175,74,130,172,73,127,166,72,129,165,76,131,
162,77,129,167,79,138,149,76,125,136,73,117,135,74,120,138,75,124,135,75,123,131,75,122,124,73,118,93,66,97,59,60,75,29,55,58,19,54,53,17,54,54,15,54,54,14,54,54,
15,54,54,16,55,55,16,55,56,16,55,56,16,55,56,16,55,56,16,55,55,16,55,54,15,53,52,14,50,49,13,48,46,12,44,41,10,39,35,8,33,29,7,27,25,5,21,19,
4,15,13,1,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,1,1,23,5,5,46,10,10,73,17,17,108,25,25,136,34,34,
157,39,39,174,45,45,186,49,49,187,53,51,186,60,54,187,65,55,192,70,59,185,72,59,181,74,61,182,76,74,190,79,101,198,81,120,203,81,129,201,80,131,194,75,127,188,71,123,
188,69,122,193,69,121,194,73,120,194,75,121,187,72,111,179,73,106,171,72,111,163,73,101,164,74,102,163,76,104,158,78,99,155,77,98,156,77,99,152,76,101,137,72,95,131,72,91,
130,73,90,147,78,110,138,76,100,120,72,84,117,72,85,118,73,87,120,74,91,126,74,97,129,75,100,120,73,97,101,69,84,77,64,69,56,59,57,55,60,58,47,58,56,35,56,54,
27,55,54,18,55,54,16,54,54,16,54,54,16,55,55,17,55,56,17,56,56,17,56,56,17,56,56,17,56,57,17,56,56,17,55,56,16,54,54,15,52,52,14,49,47,12,44,42,
10,37,33,7,26,22,4,17,14,3,11,8,1,3,3,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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206,59,57,206,62,58,204,66,59,200,73,62,195,78,66,187,77,68,185,77,69,184,76,74,185,74,77,190,71,88,195,70,102,197,69,107,197,68,105,190,66,96,180,64,87,176,65,83,
175,67,83,175,71,85,166,72,79,160,72,80,157,72,78,151,72,78,148,73,86,143,74,83,144,73,83,138,71,83,121,68,78,102,62,70,102,59,71,99,57,70,98,56,69,103,58,75,
98,59,72,102,61,74,101,60,74,99,59,72,89,58,64,76,57,56,74,56,52,76,57,52,77,57,53,71,56,52,51,53,49,48,53,48,51,53,47,56,56,51,61,56,51,63,56,51,
47,54,49,26,52,48,15,51,48,14,51,49,15,51,49,15,53,51,16,53,52,17,54,54,17,55,55,17,56,56,17,56,56,17,57,56,17,57,57,17,57,57,17,57,57,17,56,56,
16,55,55,15,52,51,13,47,45,10,40,37,7,28,26,4,14,14,1,4,4,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,8,2,2,31,6,6,69,16,16,110,27,27,150,38,38,184,49,49,205,57,57,216,61,61,220,63,64,218,64,63,213,66,62,207,68,61,
200,69,60,197,73,62,196,76,65,195,78,78,190,75,86,186,70,82,186,64,76,187,61,77,185,58,74,184,57,70,186,60,71,182,65,72,177,70,71,173,73,67,173,76,72,171,78,75,
167,78,70,157,76,67,143,71,70,141,68,83,142,66,92,143,67,95,144,66,99,148,68,100,148,67,100,139,65,99,125,63,99,114,59,99,112,57,97,114,56,96,124,59,104,121,60,108,
110,59,110,107,58,107,103,54,104,104,53,103,97,52,98,90,50,94,90,51,92,91,52,89,88,52,85,79,50,79,48,44,67,34,41,58,31,39,52,24,39,47,26,38,42,25,38,37,
21,38,34,15,39,33,8,38,33,10,40,36,10,42,38,11,42,38,11,42,39,12,44,42,13,47,44,14,50,47,15,52,51,16,54,53,17,55,54,17,56,56,17,56,56,17,56,57,
17,57,57,17,57,57,17,57,57,17,56,56,16,54,53,13,47,47,10,35,35,5,20,20,2,8,8,0,2,2,0,0,0,1,2,2,1,2,2,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,3,0,0,29,5,5,66,15,15,111,27,27,160,41,41,195,52,52,209,58,58,217,62,62,219,63,63,218,62,62,215,62,62,209,62,60,202,65,59,197,70,60,190,69,58,
186,66,58,181,63,56,180,58,54,180,55,60,177,52,59,179,52,61,177,57,66,171,60,62,168,66,64,165,68,62,169,73,62,167,74,62,163,73,60,160,73,58,159,72,58,156,72,59,
155,71,59,150,69,59,145,67,68,155,67,95,159,67,109,160,68,111,165,71,114,166,71,112,164,71,110,164,73,112,162,74,110,157,72,109,160,73,112,160,72,112,161,73,114,145,69,111,
135,65,111,129,62,108,128,60,108,130,61,109,114,57,104,99,54,104,87,52,104,86,51,105,85,50,106,87,47,104,84,44,102,79,40,97,77,35,94,69,33,87,67,33,84,60,33,77,
50,35,69,42,36,62,26,33,44,13,32,30,9,33,30,7,33,28,6,31,27,6,33,29,8,34,30,8,36,31,10,39,35,11,43,39,12,47,44,14,49,48,15,52,50,16,54,53,
17,55,54,17,56,56,17,56,56,17,57,57,17,57,57,17,57,57,17,57,57,16,53,54,13,46,46,9,34,34,5,19,19,2,10,10,1,7,7,1,6,6,1,4,4,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
29,7,7,96,24,24,157,41,41,193,53,53,216,61,61,222,65,65,222,65,65,219,63,63,216,62,62,212,62,62,205,62,60,197,61,58,187,60,55,182,61,54,184,59,54,179,54,51,
168,48,46,165,46,43,164,48,44,159,51,44,157,56,45,158,61,49,155,66,53,155,70,55,156,72,56,152,70,54,152,68,54,150,66,53,146,65,54,147,66,56,152,67,59,149,66,59,
151,66,60,153,67,62,152,67,67,159,70,80,158,70,81,156,71,79,157,74,78,156,74,75,152,72,71,151,73,70,152,74,69,144,71,69,153,72,83,165,74,96,164,74,96,155,70,94,
148,65,92,145,61,89,145,60,89,147,60,90,136,57,88,130,56,90,114,52,90,110,52,90,104,47,86,100,43,85,93,36,82,85,32,80,70,27,78,68,27,81,69,26,83,70,27,83,
76,31,92,72,29,82,54,27,59,31,24,31,35,26,34,34,25,34,21,23,26,17,23,25,10,25,23,7,28,24,5,26,20,5,28,23,6,33,27,9,35,31,9,38,34,10,39,36,
11,41,40,13,45,45,15,51,51,16,54,54,17,56,56,17,56,56,17,57,57,17,57,57,17,57,57,17,57,57,15,53,53,12,44,44,9,33,33,5,22,22,2,11,12,2,6,6,
1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,43,10,10,111,28,28,
178,49,49,217,62,62,227,67,67,225,67,67,224,67,67,222,65,65,217,63,63,210,61,60,200,61,58,192,61,57,185,59,54,180,55,51,177,52,49,176,50,47,170,49,46,161,50,44,
153,52,43,154,58,46,150,62,47,144,63,48,139,63,47,132,62,46,145,64,49,143,61,48,141,56,47,140,54,46,135,54,46,131,56,50,130,60,53,141,66,58,148,68,60,147,69,62,
147,70,63,146,70,64,145,70,64,142,69,64,147,72,69,150,74,75,152,75,79,151,74,81,152,74,85,154,74,88,157,75,92,153,73,104,155,72,111,163,71,120,158,69,116,156,67,115,
154,62,112,147,58,105,143,55,99,143,53,97,139,49,92,144,50,98,151,53,108,150,53,107,147,50,100,141,48,95,141,48,95,130,46,91,104,40,82,93,35,78,88,34,78,80,32,76,
71,29,71,61,25,61,42,18,37,27,14,21,24,7,13,26,6,14,20,6,12,29,10,19,33,11,25,34,15,28,23,15,19,18,19,18,14,24,19,8,27,18,7,29,21,7,28,22,
6,24,19,6,26,23,8,33,31,11,42,40,13,46,46,14,49,49,15,53,53,17,55,55,17,56,56,17,57,57,17,57,57,17,57,57,17,56,56,15,51,52,11,40,40,7,27,27,
5,17,17,2,10,10,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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229,68,68,226,67,67,223,66,66,219,64,64,212,61,61,205,58,58,197,54,54,187,50,50,177,52,49,167,49,46,160,45,42,160,44,41,157,47,41,149,53,42,130,53,39,115,55,39,
114,56,39,117,55,39,111,53,39,99,49,37,91,43,33,89,40,30,112,42,34,124,42,37,116,44,36,117,52,43,115,56,48,121,63,61,125,67,68,135,70,76,142,72,82,144,72,88,
152,74,101,155,73,107,156,73,110,162,75,115,168,78,121,171,78,123,175,79,131,177,78,134,175,75,131,173,72,127,176,72,133,179,72,149,180,70,157,182,69,162,178,67,154,177,66,153,
178,65,154,181,67,151,175,64,141,174,60,141,173,56,137,174,56,139,176,56,139,174,56,136,174,56,137,164,53,125,157,54,117,151,55,114,143,52,111,137,51,106,130,49,101,122,48,96,
118,42,91,113,37,87,106,36,82,92,29,68,75,21,53,61,16,43,45,11,30,34,7,21,22,5,13,20,3,11,24,5,13,28,8,17,32,10,21,12,10,11,2,12,7,5,16,10,
5,20,12,6,22,14,6,25,17,7,27,20,7,30,24,7,30,27,8,32,32,11,40,40,14,49,49,16,54,54,17,56,56,17,56,56,17,57,57,17,57,57,17,57,57,16,54,54,
13,47,47,10,39,39,6,25,25,2,9,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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222,66,66,217,63,63,206,58,58,193,52,52,178,47,47,169,43,44,159,40,40,147,38,37,133,36,33,115,34,28,106,36,26,108,40,27,97,43,28,76,45,29,45,38,22,32,31,17,
46,27,17,69,28,20,76,31,23,77,33,25,79,36,28,96,45,36,110,50,46,115,55,52,112,59,57,115,64,68,118,66,75,135,71,96,139,71,102,135,69,101,135,69,103,133,66,103,
138,68,108,137,68,110,136,68,109,142,70,109,144,68,104,140,65,100,137,62,101,133,57,95,133,52,91,136,48,86,138,47,91,145,48,104,147,47,112,150,50,114,147,48,111,145,47,111,
153,50,113,159,52,115,151,50,108,148,48,102,148,47,103,139,44,98,132,42,89,139,44,99,147,46,107,149,47,108,149,46,108,154,43,110,161,46,118,165,49,126,158,47,117,149,46,107,
142,40,98,132,35,94,120,33,91,124,36,94,125,37,94,120,37,92,114,34,87,105,29,79,93,28,68,72,22,53,46,13,33,18,5,12,3,1,2,0,0,0,0,0,0,0,0,0,
1,3,2,2,7,4,3,13,8,5,17,10,5,21,13,6,24,15,5,20,13,5,20,16,6,26,24,9,34,34,12,44,44,14,50,51,17,54,55,17,56,56,17,57,57,17,57,57,
17,57,57,17,56,57,15,51,51,11,40,40,6,22,22,1,6,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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198,54,54,181,48,48,165,42,42,154,38,38,144,37,36,130,39,32,112,36,28,89,31,22,65,29,16,43,26,12,29,22,8,27,23,10,17,22,10,10,19,9,14,12,7,30,13,8,
59,20,14,81,35,24,101,49,42,113,57,56,126,64,71,119,65,70,112,63,70,113,63,78,111,63,80,113,63,85,116,63,88,122,64,93,120,62,93,116,60,88,116,59,85,112,57,81,
112,57,77,113,57,71,115,56,73,115,54,66,117,52,67,115,48,64,115,46,61,116,43,60,125,42,62,141,44,64,144,45,68,146,46,70,146,50,73,147,53,75,147,53,73,145,52,71,
147,53,71,146,53,70,144,51,73,144,47,81,136,42,77,114,36,64,101,33,53,99,32,51,100,33,55,98,32,52,92,30,50,93,27,52,101,29,59,111,31,68,118,32,74,127,34,82,
133,35,86,129,33,89,122,30,93,120,29,96,112,28,86,107,27,82,112,29,86,117,30,89,114,32,86,105,32,81,90,28,70,58,20,45,30,15,23,18,10,15,8,5,6,0,2,1,
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17,56,56,17,56,57,17,57,57,17,57,57,16,53,53,12,42,42,6,23,23,1,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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147,36,37,120,29,29,105,27,25,108,32,26,97,35,24,72,34,19,49,29,13,28,23,8,12,18,5,5,13,3,2,7,1,0,4,1,21,8,5,49,19,11,76,31,22,92,41,34,
96,49,40,92,54,42,93,58,53,84,56,53,84,56,60,83,56,64,80,55,63,101,58,79,115,62,85,113,61,76,106,58,65,99,54,52,102,53,55,109,55,64,110,51,62,109,50,62,
108,48,60,117,48,60,133,51,71,133,51,71,128,49,69,127,46,68,128,46,75,123,44,70,123,46,70,130,49,71,136,50,76,133,50,73,134,50,73,142,52,75,149,53,76,151,53,75,
152,53,79,151,52,74,153,51,81,158,47,93,163,45,113,160,43,116,149,40,104,142,38,93,140,38,92,135,37,82,121,33,73,108,30,68,107,31,72,100,30,65,89,27,54,77,24,46,
84,26,52,88,27,64,92,29,68,93,27,68,95,28,72,98,27,76,103,27,80,102,26,80,91,22,68,75,17,49,57,13,30,50,13,28,53,15,36,48,16,33,49,18,36,33,13,24,
24,12,18,13,8,9,1,5,2,0,2,1,0,0,0,0,0,0,0,0,0,1,3,2,2,9,5,4,17,11,6,24,17,7,28,21,7,30,24,7,31,28,9,36,35,12,45,45,
15,52,52,17,55,55,17,56,56,17,56,57,17,57,57,17,57,58,16,55,55,12,42,43,6,21,21,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,30,7,7,121,32,32,203,57,57,232,68,68,231,69,69,227,68,68,225,68,68,220,64,64,204,57,56,179,48,46,159,40,46,139,34,45,133,33,54,
94,26,34,48,17,12,34,14,7,41,18,10,26,18,7,14,19,5,6,14,3,3,9,2,2,4,1,2,2,1,6,6,2,14,12,4,40,24,10,57,35,18,70,44,33,66,46,36,
49,43,32,32,40,22,24,38,16,26,39,17,38,41,27,55,47,39,55,47,34,74,49,35,85,50,33,82,44,28,77,41,28,74,40,31,79,40,43,97,44,65,91,42,61,85,41,61,
84,42,62,86,45,60,90,48,58,86,49,55,78,48,53,71,44,46,69,40,47,68,40,45,66,39,41,71,41,40,94,46,46,99,44,46,100,39,41,110,35,42,124,35,46,135,37,49,
135,37,49,133,36,47,134,35,51,142,36,73,149,38,95,148,37,95,140,35,88,137,34,86,138,34,89,139,34,92,141,35,99,147,37,114,153,39,129,153,39,128,141,35,121,121,30,109,
110,27,104,111,29,107,108,29,105,101,27,94,94,28,83,81,24,69,65,22,61,67,23,62,65,22,53,59,19,28,52,13,9,52,11,7,49,10,11,46,10,14,49,11,24,42,11,27,
53,14,38,54,16,38,39,16,29,14,11,12,4,8,5,1,5,3,0,2,1,0,0,0,0,0,0,0,0,0,1,3,2,3,10,7,5,19,14,6,25,19,7,28,22,7,30,27,
9,36,35,11,44,43,14,49,49,16,54,54,17,56,56,17,56,57,17,57,57,17,57,58,16,55,55,11,41,41,5,17,17,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,25,5,5,106,27,27,193,54,54,232,69,69,231,69,69,227,68,68,225,68,68,220,64,64,205,58,57,172,45,44,134,32,38,113,26,40,114,28,49,102,28,48,59,20,28,
25,12,11,0,4,0,0,1,0,2,3,1,1,6,1,2,6,1,2,2,1,5,4,1,11,11,3,16,19,5,17,23,8,16,25,11,16,26,13,17,30,16,19,34,17,16,34,13,
18,35,12,22,36,10,25,37,10,28,39,10,29,38,10,25,36,9,23,34,9,29,33,10,45,33,24,64,35,45,62,36,47,58,37,47,54,39,45,49,42,42,43,42,39,34,40,32,
30,40,29,23,36,24,24,34,22,35,33,27,41,33,30,40,27,29,59,28,34,75,30,33,77,29,33,85,30,36,101,34,41,101,32,39,102,28,39,115,29,42,132,31,49,141,34,56,
141,35,56,143,36,57,141,37,53,143,38,58,144,38,60,146,38,64,143,38,61,141,37,60,138,37,60,138,35,60,137,35,65,140,36,81,143,36,96,145,37,104,146,36,112,142,35,120,
140,35,127,142,35,134,141,35,138,138,35,137,134,33,134,123,31,127,98,28,116,77,26,104,60,22,86,45,18,62,37,12,36,37,8,19,44,10,11,51,11,9,31,6,2,10,1,1,
12,2,6,29,6,19,42,9,28,29,8,21,7,6,5,1,7,3,2,7,5,2,7,4,1,4,3,0,0,0,0,0,0,0,0,0,0,0,0,1,5,4,3,11,8,4,16,12,
6,22,17,6,28,24,8,34,31,10,41,40,14,48,48,16,53,53,17,56,56,17,57,57,17,57,57,17,58,58,16,55,55,10,37,37,3,12,12,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,2,2,
94,23,23,186,52,52,229,67,67,232,69,69,227,68,68,226,68,68,221,66,65,204,57,57,169,44,43,133,32,40,101,23,39,80,20,41,66,19,37,40,15,19,19,10,8,1,3,0,
0,0,0,0,0,0,0,0,0,0,1,0,3,2,1,7,7,1,13,14,4,18,23,7,18,25,10,14,25,12,10,25,13,9,24,12,12,27,12,18,33,12,23,36,11,28,39,10,
30,40,10,29,38,10,25,34,8,21,29,7,17,27,8,15,30,11,15,32,15,16,35,17,21,37,22,35,42,31,32,44,29,28,44,25,22,41,21,19,39,17,15,34,13,11,26,9,
7,18,6,4,14,4,9,10,5,16,10,9,19,11,10,22,12,12,26,12,12,43,16,14,47,17,15,47,19,18,59,22,37,67,23,55,66,17,54,74,20,55,95,26,70,110,30,90,
117,30,98,119,30,99,121,36,100,122,37,97,125,38,95,138,41,95,143,43,91,146,43,91,149,46,90,146,43,79,145,43,72,145,44,68,144,42,63,143,41,63,144,41,65,139,38,63,
135,36,66,134,36,75,136,35,89,137,35,102,140,35,116,141,34,125,140,34,136,141,38,152,137,39,157,122,37,149,101,33,133,75,26,107,54,19,79,39,13,49,24,7,23,3,1,5,
0,0,0,0,0,0,2,0,0,4,1,2,0,0,0,0,0,0,1,1,1,1,4,3,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,4,3,3,11,8,5,19,15,6,26,21,8,32,29,10,38,38,13,46,46,15,53,53,17,55,55,17,56,56,17,57,57,17,58,58,15,52,52,9,32,32,2,8,8,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,63,15,15,165,45,45,
225,65,65,231,69,69,227,68,68,225,67,67,221,66,65,204,57,56,170,45,45,128,31,37,102,24,42,83,20,45,61,19,35,31,13,17,9,7,4,2,3,0,0,0,0,0,0,0,
0,0,0,0,0,0,3,3,0,10,10,3,17,19,6,18,24,9,17,26,11,12,21,10,8,18,9,9,22,11,16,29,12,23,35,11,28,39,10,31,40,10,32,41,10,30,40,11,
24,35,9,18,29,7,13,25,7,14,27,11,17,34,17,23,42,25,26,45,25,27,46,23,27,45,21,23,41,16,20,36,12,18,31,10,14,25,6,12,21,5,9,16,3,6,11,2,
3,7,2,5,9,3,4,10,4,4,12,4,3,15,5,3,17,6,2,17,7,2,18,8,3,18,8,3,19,9,14,23,28,26,24,46,25,20,44,26,19,43,34,23,54,58,28,84,
64,24,90,69,21,95,72,23,96,75,25,101,80,25,102,93,26,102,114,30,111,124,34,122,135,37,130,144,40,129,148,41,129,147,42,125,148,42,118,148,43,111,144,42,99,142,42,88,
137,41,73,135,41,63,132,40,53,123,36,47,113,33,48,118,34,57,119,33,74,120,32,96,123,33,120,135,35,139,137,38,153,131,40,159,122,40,157,108,36,144,87,29,121,59,21,90,
34,13,56,15,6,26,1,1,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,2,1,2,9,6,5,18,14,6,27,24,8,34,31,10,39,38,13,46,46,16,52,52,17,55,55,17,56,56,17,57,57,17,58,58,14,49,49,7,25,25,
1,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,38,8,8,134,35,35,213,60,60,232,69,69,
227,68,68,225,68,68,221,65,65,204,58,57,167,43,42,128,31,37,101,23,42,76,18,40,55,16,32,28,14,15,10,9,2,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,
5,5,1,12,13,4,17,19,9,19,25,11,15,25,11,7,18,9,5,13,7,8,14,5,16,22,7,24,32,9,29,38,10,32,42,11,30,41,12,27,39,14,24,38,17,23,36,18,
20,35,16,21,37,18,24,42,25,28,46,28,31,48,30,30,46,27,27,43,20,24,37,12,19,30,8,14,22,5,9,15,3,8,13,3,7,14,4,7,15,6,7,18,8,7,20,9,
9,23,11,10,26,13,11,27,14,10,25,13,7,22,11,6,18,10,12,17,13,12,15,13,11,13,11,13,12,12,14,12,12,14,10,12,13,9,11,13,8,12,15,9,16,20,10,22,
22,8,27,30,9,41,38,12,54,42,13,59,41,13,61,42,13,61,47,14,64,63,19,82,83,23,98,104,26,104,125,30,115,129,33,121,132,33,125,136,34,128,142,36,133,147,38,140,
153,40,145,155,41,144,151,41,131,139,38,115,123,35,94,117,33,74,105,31,53,91,27,36,85,28,37,85,26,50,83,26,71,78,27,98,92,33,125,114,38,146,125,40,158,122,39,155,
104,35,138,78,26,109,54,20,83,31,12,51,12,5,24,2,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,13,11,6,26,22,9,33,30,10,37,35,11,42,41,14,48,48,15,52,52,17,55,55,17,56,56,18,57,57,17,57,57,
12,43,44,5,18,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,4,4,95,24,24,193,54,54,232,68,68,229,68,68,226,68,68,
224,67,66,211,60,59,175,46,46,131,32,36,99,22,37,92,22,52,74,19,46,32,13,16,9,8,2,2,4,1,2,2,7,1,1,3,0,0,1,0,0,0,5,4,1,11,12,4,
18,19,10,17,21,15,11,14,16,6,11,10,4,10,5,6,9,3,15,16,4,23,26,6,27,34,8,27,38,10,26,39,14,24,37,16,23,37,20,24,39,24,28,43,29,32,46,31,
30,47,30,30,47,29,30,46,26,27,42,21,25,36,15,18,27,8,14,22,6,11,18,4,9,17,5,9,18,7,12,22,10,15,26,12,17,29,14,17,31,15,14,29,14,12,28,13,
13,28,12,13,26,11,12,24,9,9,19,7,4,10,4,10,6,8,26,6,16,30,7,19,34,8,22,33,7,21,30,6,18,26,5,16,30,6,18,30,6,17,28,6,16,31,6,18,
21,4,10,33,7,23,36,8,30,38,8,32,43,10,37,53,12,40,58,14,41,59,14,44,69,16,49,91,21,60,94,22,64,97,23,67,99,24,74,104,25,85,110,27,97,116,29,108,
122,31,118,132,33,130,141,36,141,146,37,146,152,40,154,157,42,157,149,39,145,129,34,114,117,30,88,102,27,64,67,20,37,26,12,18,13,13,25,28,18,51,55,26,84,79,28,108,
87,29,117,91,30,122,97,32,130,92,30,125,75,26,107,50,18,77,26,9,42,9,4,17,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,5,5,4,15,14,6,25,23,8,31,30,9,36,36,12,43,43,14,48,48,16,52,53,17,56,56,17,56,57,
16,57,58,16,55,55,10,36,36,3,11,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,1,4,70,17,17,168,45,44,224,65,65,230,69,69,227,68,68,226,68,67,216,62,62,
178,48,48,125,31,35,99,23,35,97,22,51,86,22,54,58,19,34,22,10,11,3,4,1,1,2,4,2,2,9,1,2,8,2,2,1,5,5,1,11,11,4,16,16,9,13,14,15,
9,10,14,4,5,10,4,4,5,8,8,3,16,16,3,22,25,6,24,32,8,24,35,11,23,37,17,23,39,23,24,39,26,28,41,28,31,43,29,33,46,29,33,46,29,29,44,25,
26,40,19,25,36,14,24,32,9,22,28,6,20,26,7,16,23,8,15,24,11,16,27,13,18,31,15,19,32,15,19,31,14,18,30,12,15,26,10,13,24,9,11,20,6,9,16,5,
8,14,3,7,11,3,5,8,2,3,5,1,1,2,0,3,1,2,5,0,2,4,1,2,4,1,2,5,1,2,3,1,2,1,0,1,2,1,1,2,1,1,2,1,1,3,1,1,
1,0,1,4,1,2,4,1,0,4,1,2,21,6,21,44,11,39,62,15,37,67,15,34,72,16,37,76,18,38,75,17,37,79,19,40,81,19,44,88,21,52,98,24,71,104,25,85,
105,26,87,102,25,86,99,24,87,105,25,95,119,30,117,141,37,144,151,41,156,153,41,157,155,40,155,150,39,148,130,33,127,98,24,90,54,13,43,25,7,16,9,7,8,5,5,13,
10,5,23,27,10,45,52,18,76,76,25,106,93,31,125,97,32,130,88,29,120,66,22,94,33,12,52,13,5,24,2,1,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,5,3,13,13,6,25,25,9,34,34,10,38,38,11,43,43,14,49,49,16,53,54,
16,55,55,16,56,56,17,56,57,13,49,49,7,27,27,2,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,2,5,62,14,32,144,37,53,210,59,59,231,69,69,227,68,68,225,67,67,219,64,63,188,51,50,128,32,32,
72,16,27,68,15,42,82,20,50,66,20,41,34,14,18,7,7,2,0,2,3,2,2,8,2,2,7,2,2,6,6,6,5,11,11,6,15,15,9,12,14,14,9,9,14,5,4,12,
4,3,5,10,10,3,16,17,3,21,26,5,24,33,8,23,35,12,21,36,19,22,37,26,26,42,34,31,46,38,34,47,35,33,45,29,30,43,23,25,38,17,23,33,12,23,29,8,
23,29,7,25,28,7,24,29,8,26,33,14,29,37,20,27,37,21,23,34,18,18,30,12,17,28,10,15,26,8,15,25,9,15,26,10,12,23,10,7,15,7,4,7,3,2,2,1,
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,2,1,4,14,4,15,23,5,18,27,6,20,31,6,25,35,8,26,43,10,29,48,11,32,54,12,37,66,15,45,73,17,55,83,20,66,
92,22,76,88,21,74,82,19,68,83,19,67,87,20,74,99,24,92,108,26,107,117,29,116,128,33,130,138,36,141,147,39,147,145,37,143,134,33,126,120,29,107,96,22,82,61,13,48,
27,6,18,2,0,1,0,0,2,10,5,21,32,11,51,58,20,85,81,26,111,88,28,118,69,23,97,52,18,77,38,14,58,19,7,33,5,3,12,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,12,13,7,26,26,7,33,33,9,35,35,11,41,41,13,48,48,
14,50,50,16,53,53,16,54,55,15,55,55,15,55,55,11,41,41,4,18,18,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,9,2,0,34,7,13,111,26,51,193,53,76,227,67,75,228,68,69,225,68,68,223,66,66,206,58,56,149,38,36,83,19,26,58,12,32,
69,16,47,68,19,44,42,15,22,9,7,3,0,2,1,1,2,5,2,2,9,2,2,7,2,2,7,11,12,17,16,17,20,14,15,18,9,10,15,6,4,13,8,3,14,15,11,12,
17,18,6,20,25,5,21,30,8,21,33,13,20,35,21,23,38,29,27,41,34,33,45,37,35,47,37,33,46,33,28,41,24,24,34,14,22,28,7,21,24,7,25,27,9,28,33,15,
29,35,18,29,35,18,29,35,20,30,37,24,31,38,26,26,34,22,19,29,13,14,25,9,15,26,10,15,27,12,14,26,13,11,21,9,7,13,5,2,4,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,1,0,3,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,5,1,5,9,2,8,14,3,12,21,4,17,32,7,27,
56,14,57,77,19,81,79,20,82,81,19,79,79,19,72,79,18,69,79,18,68,83,19,71,90,21,82,102,25,100,111,27,112,118,29,117,124,31,121,132,34,130,138,35,136,138,35,130,
119,30,112,76,20,79,32,10,45,5,3,13,0,0,0,1,1,7,16,6,29,30,11,46,34,12,54,46,16,70,58,19,84,56,19,83,36,13,57,8,3,16,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,6,4,15,15,6,23,23,7,28,28,9,35,35,11,43,43,
12,46,46,13,47,48,14,50,50,15,53,53,15,55,55,15,54,55,14,50,50,8,31,32,3,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,2,0,0,27,6,7,87,20,34,159,41,64,215,61,76,229,68,71,225,68,67,224,67,67,218,63,63,189,51,50,130,32,38,91,21,51,79,18,58,71,18,49,
49,16,29,16,9,6,1,3,0,0,2,4,2,2,9,2,2,7,2,2,6,3,4,13,7,8,23,13,16,27,10,13,23,6,6,16,6,2,14,9,4,15,14,12,14,22,25,12,
22,31,10,20,35,17,21,38,28,24,39,31,29,42,35,34,45,37,35,46,35,31,44,28,25,37,19,22,31,11,21,25,7,23,26,7,26,29,13,29,33,19,31,37,25,32,39,29,
33,39,28,31,37,25,30,36,25,29,37,25,29,36,24,24,33,19,16,28,15,13,25,14,12,24,15,11,23,16,9,19,14,5,10,6,2,3,1,0,1,0,0,2,1,1,4,3,
1,5,3,2,8,4,2,9,6,3,10,7,3,11,7,1,6,4,0,1,1,0,2,1,1,2,2,1,4,3,1,4,3,1,3,3,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,
26,8,37,51,15,66,60,18,77,68,19,81,73,20,88,78,23,97,79,25,100,80,23,91,88,23,90,100,25,99,105,25,106,102,24,101,103,25,102,99,24,100,105,27,108,118,30,119,
130,33,132,131,35,137,113,31,124,77,22,92,40,13,58,16,6,29,1,1,5,0,0,0,0,0,0,8,3,15,22,8,37,43,15,65,53,17,76,33,11,51,9,4,19,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,2,8,8,4,17,17,6,24,24,8,33,33,
10,41,41,11,45,45,12,46,46,13,48,48,15,52,52,15,54,54,15,55,55,14,51,52,11,41,41,5,21,21,1,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,4,1,0,49,10,14,127,31,53,192,52,77,224,66,75,227,68,67,225,68,66,221,65,65,202,56,54,166,43,43,124,30,44,99,24,64,100,25,78,71,20,49,26,10,12,
7,11,6,0,7,8,5,6,13,8,3,11,2,1,6,2,3,10,5,6,19,8,10,27,8,13,30,9,15,28,10,11,22,10,6,16,12,9,13,16,19,10,18,28,11,20,35,18,
21,39,30,24,42,38,30,45,42,34,47,41,33,46,34,30,42,25,24,35,16,21,27,8,22,25,6,25,27,10,29,32,17,31,36,23,32,39,28,33,39,30,33,39,30,36,41,30,
36,41,27,33,39,24,27,35,20,22,33,18,18,30,17,14,25,17,10,23,18,7,20,18,6,18,17,5,16,17,4,14,14,3,11,10,2,11,8,4,15,12,5,18,15,4,16,12,
4,17,11,5,18,12,5,19,14,5,19,14,4,16,11,3,13,8,3,12,8,3,14,9,3,15,10,5,16,11,4,16,10,2,10,6,1,5,3,1,3,2,1,3,2,1,3,3,
1,3,2,1,5,3,1,4,3,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,8,3,13,12,4,21,8,3,14,4,2,8,0,1,3,
3,1,8,14,5,24,22,8,35,31,10,46,41,15,66,57,23,98,65,28,114,71,29,116,83,31,123,100,33,131,110,33,133,110,31,125,109,29,116,104,25,105,97,24,96,94,22,93,
98,24,97,106,27,110,114,29,118,109,28,113,90,26,107,73,23,97,52,18,77,28,10,45,9,3,17,0,0,0,0,0,0,5,2,9,19,7,33,34,12,52,36,12,55,23,8,38,
10,4,18,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,10,10,5,19,19,
7,27,27,9,36,36,11,42,42,11,45,45,13,47,47,14,50,51,15,53,53,16,54,54,15,53,53,12,44,44,7,28,28,3,11,12,0,2,2,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
23,5,5,79,18,34,152,38,65,207,58,79,226,67,71,225,68,68,224,67,75,217,64,69,183,50,53,136,34,41,114,28,56,106,26,73,88,24,65,42,15,27,13,12,5,2,12,9,
5,16,21,19,16,27,35,12,30,19,6,18,4,5,15,7,9,25,8,12,30,9,14,30,11,18,29,14,19,28,14,17,23,13,17,11,16,26,10,20,35,18,22,40,30,25,43,38,
29,45,42,31,46,41,30,45,35,27,40,25,26,35,15,24,29,12,25,26,12,26,30,18,32,36,26,34,38,31,35,40,31,36,41,31,36,42,31,37,43,30,37,43,30,34,41,29,
27,35,20,20,31,18,16,29,19,14,27,20,11,25,20,8,23,20,7,24,21,8,24,21,9,23,19,11,25,20,9,24,20,7,25,22,7,26,24,7,29,26,8,29,27,7,26,23,
7,26,22,6,26,22,6,26,23,6,24,20,5,21,15,5,20,13,5,20,13,5,20,13,5,19,13,5,18,13,4,18,12,3,13,9,2,9,5,2,7,4,2,8,5,2,7,5,
2,7,4,2,7,5,1,6,4,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,2,11,28,9,39,46,15,63,44,14,61,39,13,56,33,11,49,
25,9,38,16,6,27,9,4,19,5,3,13,6,4,19,15,9,43,25,14,62,36,19,80,51,24,100,63,28,114,75,31,124,87,33,131,101,35,136,110,35,136,112,32,128,105,28,114,
92,23,98,81,22,91,84,22,93,82,22,93,73,23,98,69,25,106,74,26,109,75,25,104,61,21,87,37,13,57,14,6,25,1,0,2,0,0,0,4,2,9,18,7,30,33,11,50,
39,13,57,26,9,40,8,3,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,5,
3,13,13,6,26,26,9,35,35,11,41,41,11,44,44,12,46,45,13,47,47,14,50,50,15,53,53,15,52,52,13,46,47,8,33,33,5,18,18,2,7,7,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,29,6,6,
118,29,56,190,51,94,216,62,77,226,67,68,225,68,68,224,67,83,213,62,89,178,51,81,134,38,68,115,31,78,101,25,78,65,18,47,31,16,17,3,10,5,3,15,15,17,20,30,
36,23,41,42,19,39,22,9,25,8,8,23,8,11,30,10,15,33,11,17,31,14,19,29,17,20,29,15,18,20,12,20,10,14,26,15,21,37,31,28,43,41,29,44,43,29,45,41,
27,41,34,23,35,22,23,29,13,28,30,13,32,33,21,34,36,30,34,38,35,34,39,38,37,41,39,40,43,38,42,45,35,42,45,32,39,44,30,35,42,30,29,39,28,22,35,26,
16,31,25,12,31,27,12,31,28,10,30,26,10,29,24,13,31,25,17,34,27,19,35,28,19,34,28,19,33,28,14,32,29,9,32,29,8,31,29,8,31,28,8,31,28,8,29,26,
7,27,24,6,26,22,6,24,21,5,21,16,4,15,10,3,13,9,3,11,8,3,10,7,2,9,6,2,8,6,2,9,7,2,5,4,1,2,2,1,1,1,1,1,1,1,1,1,
1,1,1,0,0,0,0,0,0,0,1,1,4,2,6,10,4,15,6,3,11,5,2,8,3,1,6,3,1,5,3,1,5,18,6,27,34,11,48,38,13,54,44,14,59,47,15,64,
47,15,64,50,16,68,47,15,64,40,13,57,39,13,56,39,13,59,24,10,45,15,8,37,12,8,37,16,11,48,26,15,66,46,23,93,73,30,122,95,37,140,101,37,143,100,36,137,
91,31,125,79,28,114,76,26,107,74,23,97,67,21,91,57,22,92,55,22,95,61,24,101,71,26,109,76,26,108,65,21,89,28,10,44,3,2,8,0,0,0,0,0,0,3,2,8,
17,7,29,33,11,49,25,8,39,8,3,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,2,2,3,14,14,7,29,29,9,35,35,11,40,40,12,44,44,12,45,45,15,46,47,12,47,47,14,51,50,14,51,51,13,46,46,10,35,35,5,21,21,2,7,7,1,2,2,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,53,12,19,135,33,67,
201,56,103,221,64,77,224,67,65,225,67,73,222,66,85,204,58,92,173,50,97,153,46,103,133,38,97,90,23,70,44,13,30,12,10,6,4,14,9,10,18,24,27,23,36,36,21,37,
29,14,29,8,7,20,7,10,27,11,13,34,11,17,35,13,20,33,16,20,30,19,20,27,19,20,21,15,25,17,17,33,26,24,39,39,30,43,45,32,44,44,29,41,38,24,34,27,
22,28,14,26,28,13,33,33,21,36,38,32,36,39,38,36,40,41,37,40,40,40,42,39,43,45,38,44,46,35,42,45,33,39,43,30,34,41,29,29,39,30,21,36,30,13,33,30,
11,33,31,14,35,32,17,36,32,19,36,30,19,37,30,21,36,30,20,37,31,17,35,31,14,34,31,12,33,30,10,32,29,8,31,27,7,27,24,6,24,20,5,21,17,4,18,14,
4,16,12,3,13,10,3,10,8,2,8,7,2,8,8,2,9,10,2,9,9,2,8,9,3,9,10,3,10,11,3,10,11,2,6,7,1,2,2,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,9,3,13,20,6,30,17,6,27,17,6,27,19,7,29,20,7,31,14,6,24,15,5,24,15,5,26,15,6,26,15,6,27,18,7,32,
23,8,36,28,9,42,35,11,50,44,14,60,58,19,79,74,23,97,75,24,99,68,22,91,57,21,87,38,17,71,22,12,51,18,10,46,39,17,71,63,25,101,79,31,120,90,35,134,
94,37,141,91,37,140,88,37,140,84,34,131,79,29,118,75,25,104,67,22,93,59,21,89,53,22,93,55,24,97,66,24,101,56,19,83,39,13,56,18,6,30,4,2,8,0,0,0,
0,0,0,4,2,8,9,3,15,6,2,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,2,2,3,13,14,6,26,26,8,34,34,9,39,38,12,43,43,27,46,53,30,47,55,17,47,48,12,50,50,14,50,50,13,47,47,9,34,34,4,16,16,2,8,8,
1,4,4,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,3,0,69,16,27,161,41,86,211,59,102,
223,66,77,224,66,66,223,66,76,217,63,87,192,55,92,163,48,98,154,47,109,138,39,99,84,21,62,25,7,22,3,7,5,0,14,12,18,20,30,38,23,41,34,17,33,10,8,17,
5,8,21,12,12,32,18,18,40,18,21,38,17,21,33,18,20,29,19,20,23,19,24,22,20,31,29,25,38,40,30,41,45,31,42,45,28,37,41,25,31,33,26,30,26,30,33,25,
34,37,29,34,37,34,34,38,38,36,40,41,37,40,39,40,42,39,43,44,38,43,45,36,41,44,32,38,43,29,35,42,30,30,40,30,25,38,31,19,37,33,18,36,33,20,38,34,
24,39,34,27,40,35,28,40,34,24,38,33,19,36,32,17,36,32,13,33,31,9,32,30,8,31,27,7,28,23,6,24,19,5,21,17,4,19,15,4,18,14,4,16,13,5,17,14,
5,20,17,5,20,19,4,17,18,4,16,18,4,17,18,3,14,16,2,9,9,2,8,8,2,7,7,2,7,6,2,6,5,2,3,3,0,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,1,3,3,1,5,5,2,8,7,2,13,10,3,16,11,4,18,16,6,25,17,6,27,20,7,31,
20,7,31,16,6,27,12,5,23,15,6,26,20,7,35,28,11,45,43,14,62,56,18,78,71,25,100,80,29,113,78,28,113,65,25,101,50,21,85,38,17,73,38,17,72,60,23,95,
85,31,122,97,36,138,100,40,148,98,42,153,92,40,148,87,37,139,82,32,125,78,27,109,67,22,92,42,15,68,33,14,64,44,19,81,56,21,89,54,19,80,39,13,58,18,7,28,
2,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,
1,4,4,1,5,5,0,1,1,2,7,7,5,19,19,7,30,30,9,36,36,17,41,44,40,48,62,39,49,61,19,48,50,12,49,47,13,49,49,12,45,45,9,35,35,5,21,21,
2,9,9,1,6,6,1,4,4,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,4,2,85,20,35,174,45,91,213,60,94,222,65,72,
224,66,66,222,66,84,209,60,93,176,51,90,148,46,96,145,43,103,121,33,87,62,15,47,15,5,18,3,9,13,8,17,22,26,23,37,44,24,46,23,13,28,6,6,18,8,9,28,
16,16,38,20,21,40,21,23,39,18,19,33,15,12,24,15,15,21,18,27,25,23,37,36,30,41,45,34,41,46,32,36,43,25,27,35,23,24,28,29,29,28,35,38,34,36,41,39,
33,40,42,33,39,41,36,41,41,42,44,40,43,44,38,44,45,38,42,45,37,39,44,34,36,42,32,28,39,31,21,36,31,19,37,33,23,38,34,29,40,35,35,42,36,35,41,35,
31,40,34,27,39,34,23,37,33,18,36,32,15,34,30,13,32,28,8,27,24,6,24,21,5,23,19,5,22,19,6,23,21,7,26,25,9,28,27,11,29,28,10,29,26,7,26,23,
6,25,22,6,23,20,4,15,14,3,12,11,2,11,9,2,10,8,1,8,5,2,8,5,2,9,6,2,9,6,2,5,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,1,6,
7,2,12,16,6,26,24,9,39,25,9,39,21,8,34,12,5,23,12,5,23,15,5,27,30,12,48,61,20,84,77,26,104,82,28,112,81,29,114,78,28,113,66,25,102,64,25,101,
69,25,104,76,27,110,85,31,121,95,36,136,101,40,147,99,42,152,95,42,152,89,38,143,80,32,126,63,23,95,44,14,64,33,12,53,33,14,63,44,18,79,54,21,90,37,14,62,
9,3,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,
2,6,6,4,13,14,3,10,10,0,2,2,1,4,4,5,19,19,7,29,29,8,35,35,13,39,42,35,47,59,41,51,63,24,49,52,11,45,44,12,47,47,12,46,46,10,39,39,
6,24,24,3,12,12,2,8,8,2,5,5,1,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,4,10,16,3,9,35,8,12,118,28,61,185,49,96,217,62,91,223,65,68,223,66,70,
220,66,94,206,59,103,169,49,99,141,44,92,129,38,85,97,26,68,42,10,35,8,5,14,3,11,16,16,20,29,43,26,46,43,22,43,20,12,29,10,8,26,12,13,35,19,19,43,
22,22,41,20,22,36,17,16,30,14,8,22,12,11,20,17,27,31,26,39,42,33,42,46,35,38,44,27,27,37,23,22,30,28,29,31,34,38,35,36,41,39,34,42,42,33,40,42,
36,41,42,41,43,41,43,45,38,43,45,37,41,45,37,40,44,37,37,43,37,33,41,35,26,38,33,21,36,32,24,38,33,33,41,36,37,42,35,38,42,35,36,41,34,30,38,33,
24,37,32,21,37,31,18,34,29,13,29,25,7,24,21,5,23,20,6,24,22,7,26,24,9,29,28,12,31,30,15,32,31,18,32,29,20,31,28,20,30,23,14,24,18,6,17,12,
4,14,9,3,13,8,3,11,7,2,12,8,2,11,7,2,11,7,2,10,6,2,10,6,2,9,6,2,9,6,2,7,5,1,4,2,1,3,3,1,3,3,1,4,4,1,4,4,
1,3,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,1,7,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,3,2,6,14,5,23,19,7,30,20,7,32,24,9,38,30,11,47,26,10,42,27,10,43,43,14,61,57,19,78,62,20,84,69,25,99,77,28,113,84,31,122,84,31,123,
83,31,120,78,29,115,74,27,110,73,27,109,80,29,116,91,33,128,100,39,143,100,41,152,97,43,155,90,39,146,71,30,119,57,21,88,45,14,64,34,12,54,30,14,59,16,12,52,
9,8,34,2,2,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,4,4,4,13,12,5,20,19,4,14,14,3,9,9,4,16,16,6,22,23,7,29,30,7,33,34,11,38,40,27,46,54,50,54,69,33,49,57,11,44,44,12,45,45,12,45,45,
10,39,39,7,26,25,3,14,13,2,9,9,2,7,7,1,5,5,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,21,5,13,28,6,16,60,13,26,146,37,87,201,55,116,221,64,92,223,65,65,222,66,74,217,64,97,
200,58,109,165,49,100,142,46,93,133,40,83,90,25,57,28,8,27,5,6,13,6,14,18,25,23,36,44,26,47,31,18,36,13,9,27,11,10,30,16,16,39,21,22,43,22,23,39,
19,20,33,16,12,28,15,7,24,14,14,25,17,29,34,29,40,44,35,40,45,33,32,43,25,21,35,23,22,30,31,36,35,37,44,42,34,42,43,33,40,43,35,41,42,39,42,40,
43,44,38,42,44,36,41,44,36,39,44,37,37,43,37,32,41,35,27,38,34,25,38,33,29,39,33,35,41,33,39,42,34,39,42,35,35,41,35,31,39,35,26,38,34,21,36,32,
20,33,26,18,32,23,17,30,23,13,28,24,9,27,25,11,30,29,14,32,31,17,32,30,20,31,28,21,31,25,22,29,23,21,28,19,18,24,13,16,22,11,9,18,11,4,13,10,
4,14,11,4,15,12,4,16,14,4,16,15,3,14,12,3,11,9,3,11,9,3,12,10,3,12,10,3,11,9,3,11,9,2,9,8,2,9,8,2,9,8,2,10,8,2,10,8,
2,9,7,2,7,5,1,5,3,1,5,3,1,6,3,1,6,4,1,4,2,0,1,0,8,3,12,18,6,28,19,6,29,15,5,25,13,5,21,10,4,17,6,3,11,4,1,7,
1,1,3,0,0,1,0,0,0,0,0,1,2,1,4,6,3,11,25,9,38,37,13,56,36,13,57,40,14,61,40,15,63,45,15,66,54,20,83,61,25,101,68,29,113,76,31,120,
81,32,122,87,32,124,84,31,122,81,30,118,74,28,111,68,25,102,76,28,112,90,35,133,102,42,151,101,44,157,82,40,148,62,34,132,55,27,109,54,20,85,45,14,63,31,10,47,
15,9,41,7,8,35,4,5,23,1,1,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,4,3,4,14,11,5,21,18,4,18,18,4,18,18,4,19,19,5,23,23,7,27,27,7,32,31,8,37,37,28,46,54,45,52,66,31,50,57,12,44,44,11,44,44,
11,43,43,9,36,36,7,24,24,4,14,14,2,9,9,2,7,7,2,8,8,1,5,5,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,5,15,36,8,21,64,14,27,151,38,92,201,55,114,217,63,82,222,65,63,219,64,72,214,63,105,197,57,118,
165,50,104,139,44,91,133,41,82,90,25,54,32,10,26,6,8,16,11,17,24,35,25,43,45,25,46,23,14,31,13,9,29,14,14,37,19,19,43,21,22,42,21,22,37,18,17,31,
16,9,26,17,10,26,19,20,33,21,31,39,27,36,44,34,36,45,29,25,38,24,19,34,25,28,34,28,37,38,28,40,42,30,39,42,34,40,42,39,43,41,42,43,39,41,43,35,
39,42,34,38,42,36,36,42,36,31,40,35,26,38,34,25,38,32,29,39,33,35,40,31,38,41,30,38,41,32,37,41,36,32,40,36,25,38,34,21,36,32,21,35,29,22,33,26,
18,30,23,16,30,26,17,32,30,16,32,31,18,32,30,20,32,28,21,31,25,21,28,21,20,27,18,17,25,17,15,23,16,11,22,15,8,19,13,6,17,15,5,18,17,5,19,18,
6,20,20,6,21,21,6,23,22,6,23,22,6,22,19,5,21,17,6,22,17,6,23,17,6,22,16,5,19,13,4,17,12,3,13,9,2,12,8,3,12,8,3,13,8,3,11,7,
2,10,6,2,10,6,2,9,6,2,10,6,2,10,6,2,9,6,2,6,4,1,2,1,1,1,2,2,1,5,6,2,11,8,3,13,10,4,17,13,5,22,15,6,25,18,6,28,
18,6,28,14,5,22,10,3,17,7,3,12,3,1,5,0,0,0,1,1,2,7,3,12,16,6,25,25,8,38,31,11,49,38,13,59,38,15,62,39,17,70,37,19,78,56,23,96,
77,29,115,90,34,129,88,34,129,86,33,125,76,29,114,57,24,97,53,23,92,64,26,105,89,33,129,100,39,143,92,40,146,83,40,147,70,38,142,58,32,128,56,26,106,54,19,81,
45,15,63,27,11,47,11,8,36,7,7,32,4,4,18,1,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,0,2,8,7,4,16,14,5,20,19,4,22,21,4,19,20,5,22,22,6,28,28,7,32,32,7,36,35,20,43,48,43,52,65,38,51,61,16,47,46,
12,47,44,10,42,42,9,33,33,7,26,26,4,16,17,2,9,9,2,7,7,2,7,7,2,7,7,2,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,3,1,1,25,5,16,33,7,17,74,17,35,160,41,98,202,56,116,214,62,77,219,64,63,218,64,77,211,62,104,196,58,128,174,54,119,
147,47,94,130,39,81,80,22,51,24,7,22,7,10,18,24,21,37,47,29,54,44,24,48,18,12,28,11,9,30,16,16,41,21,22,45,22,23,42,20,21,35,18,15,31,16,8,26,
19,13,30,21,26,37,23,33,42,27,33,44,28,26,43,26,20,37,24,23,34,26,33,37,27,38,40,23,36,40,25,35,38,34,38,37,41,42,38,42,43,36,39,41,33,36,39,30,
34,40,31,31,40,33,26,38,33,25,37,31,29,37,28,36,40,28,38,40,28,37,40,29,35,40,31,30,39,34,25,38,34,22,36,31,22,34,27,25,34,26,26,34,27,22,32,27,
16,30,28,17,30,28,19,32,28,22,31,26,22,30,23,19,27,21,16,25,19,12,22,16,9,20,16,6,18,16,5,18,17,5,19,18,5,21,20,6,22,21,6,24,23,7,25,22,
7,26,21,7,26,21,7,25,20,7,26,20,6,25,19,6,24,18,6,24,18,6,24,19,6,23,18,6,22,17,4,19,15,4,15,10,3,14,9,3,14,9,3,12,8,2,7,5,
1,3,1,1,2,1,1,1,1,1,2,1,1,2,1,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,3,1,5,
6,2,10,9,3,14,13,5,22,18,6,27,19,6,29,14,5,23,8,3,15,4,1,7,0,0,1,0,0,0,3,1,6,11,4,17,24,8,36,34,12,52,36,14,58,38,15,62,
53,20,81,71,25,100,83,30,116,90,34,127,84,32,124,66,28,110,57,25,100,60,24,100,81,28,114,92,31,123,96,34,130,106,38,141,110,41,150,90,40,148,68,36,135,53,27,111,
51,20,86,51,16,72,31,10,44,9,5,22,4,5,23,7,7,31,3,3,15,0,0,1,0,0,0,0,0,0,4,1,3,17,4,13,20,4,15,1,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,4,3,5,18,14,6,26,21,5,21,20,4,21,21,6,27,27,7,31,31,8,32,32,6,35,34,16,41,43,41,50,63,45,54,66,
19,50,50,12,48,45,11,43,42,10,35,35,6,27,27,5,17,17,3,9,10,2,7,7,2,7,7,2,5,5,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,26,6,15,42,9,23,73,17,32,157,40,93,203,55,108,214,62,77,218,64,68,217,65,87,213,63,114,200,59,135,177,57,125,151,48,93,
122,35,73,75,20,51,19,7,21,7,12,20,31,24,41,55,30,58,41,22,46,17,10,30,12,11,32,22,19,45,22,23,45,22,23,39,20,19,34,18,13,32,17,10,30,28,19,37,
28,29,42,25,34,43,28,31,44,26,22,40,24,19,35,24,29,35,26,37,38,24,37,41,23,35,39,27,35,36,34,37,32,39,40,33,39,41,33,37,40,31,34,38,28,31,37,27,
28,37,29,28,38,31,30,38,28,35,37,21,36,37,18,37,39,23,37,40,30,32,40,32,28,38,31,25,36,29,25,35,27,26,34,26,24,33,26,22,33,28,20,32,28,20,30,28,
21,30,25,21,29,23,19,29,21,16,26,19,11,22,16,7,19,15,5,16,15,4,16,16,4,20,19,5,22,21,6,23,22,6,24,20,5,23,19,6,23,18,7,24,19,7,24,18,
6,24,19,6,24,19,6,24,19,6,23,19,6,23,19,6,23,19,6,22,19,6,23,19,6,23,18,6,22,18,6,21,16,6,20,15,5,19,13,4,18,12,4,16,12,3,14,9,
3,11,7,3,11,8,3,11,7,3,10,8,3,10,7,3,10,7,2,9,6,2,7,5,2,6,4,2,5,3,2,4,3,2,4,3,1,3,2,1,3,1,1,3,1,0,2,0,
0,0,0,0,0,0,0,0,0,1,1,3,3,1,7,7,3,13,12,5,20,15,5,24,18,6,27,12,5,21,8,3,13,1,1,4,0,0,0,15,5,24,38,12,54,45,16,67,
41,16,67,39,15,65,47,18,73,62,23,91,79,28,112,86,32,122,87,33,125,85,33,125,79,32,119,78,31,114,85,30,115,97,33,126,109,37,137,116,40,146,108,40,148,83,35,134,
59,28,113,47,22,94,25,12,55,3,2,11,0,0,0,3,3,16,6,6,26,2,2,5,0,0,0,0,0,0,2,1,1,24,6,19,51,11,39,34,8,25,7,1,4,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,7,4,5,19,14,5,24,19,6,24,22,7,26,26,8,32,33,8,33,33,8,32,32,7,34,33,11,40,41,35,49,59,
36,52,61,19,52,49,13,50,46,11,44,43,9,35,36,8,27,28,5,20,20,3,12,12,2,5,5,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,2,1,1,26,6,17,64,14,39,104,25,55,171,45,110,201,55,107,212,60,71,216,64,69,215,66,95,212,64,122,202,62,137,185,59,132,157,50,102,124,36,77,
84,22,60,33,11,32,15,16,27,39,28,48,54,31,57,36,19,42,13,9,28,17,11,34,41,23,56,39,28,55,23,22,38,19,17,33,17,12,32,22,12,33,39,22,43,51,30,54,
41,31,51,27,26,42,25,19,37,24,23,34,25,32,36,23,34,38,21,33,39,24,33,38,31,35,35,37,39,32,37,39,31,36,39,30,34,38,28,31,37,26,27,35,26,27,36,28,
31,38,27,36,39,22,38,39,18,37,38,20,36,39,26,34,39,31,32,39,31,31,38,29,31,37,28,32,37,29,29,35,27,22,31,25,19,30,26,20,30,26,20,28,22,19,25,19,
15,21,16,12,20,14,8,19,16,5,17,15,4,16,16,4,18,17,5,19,17,6,21,19,6,23,19,6,22,18,5,20,16,5,20,15,5,20,16,5,22,17,6,23,19,6,23,20,
6,23,20,6,22,18,6,22,18,6,22,17,6,22,17,6,22,18,7,23,18,6,24,18,6,25,19,7,24,19,6,24,19,6,23,18,6,22,17,5,21,17,5,21,17,5,21,17,
5,21,16,6,21,17,6,21,17,5,19,16,4,16,13,3,14,9,3,11,7,2,6,4,1,4,2,1,4,3,2,5,3,2,6,4,2,6,4,2,6,4,2,7,5,2,7,4,
1,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,4,2,8,11,4,18,15,5,24,17,6,27,13,5,22,20,6,30,38,12,51,48,15,64,
47,15,65,43,15,63,43,15,66,42,16,68,49,21,84,61,26,101,76,30,114,90,34,125,94,36,130,89,36,128,81,33,120,78,32,115,87,33,119,97,35,127,110,39,141,116,40,147,
104,39,143,76,32,126,48,24,99,27,14,61,3,4,18,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,5,2,7,26,7,28,52,13,43,48,11,36,17,4,13,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,7,4,3,14,8,4,17,12,5,24,18,6,26,23,7,29,28,8,33,33,9,34,34,8,32,32,8,35,35,12,41,43,
26,46,52,41,52,63,23,52,51,12,49,44,11,42,41,9,36,36,8,29,30,5,17,17,2,6,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,32,8,21,66,15,38,112,27,62,178,47,114,200,55,114,209,59,74,215,64,72,214,66,97,209,64,125,199,62,141,181,59,129,151,48,95,123,35,78,77,20,54,
49,16,45,50,24,52,53,32,58,51,29,54,27,16,37,11,9,28,24,14,40,48,24,58,48,31,59,28,24,43,21,17,36,18,11,33,24,15,36,50,26,52,51,29,53,37,25,46,
26,17,38,24,18,34,24,27,35,24,34,37,21,31,37,19,28,35,24,30,34,31,34,33,36,38,32,36,39,31,34,38,30,31,36,26,27,32,23,25,31,24,29,35,25,33,37,22,
35,37,18,37,39,18,38,39,25,37,40,31,33,40,33,32,38,29,32,37,27,32,36,27,30,34,27,27,33,27,23,30,24,20,28,22,19,26,19,17,23,15,16,21,13,12,18,13,
5,13,12,4,14,14,3,17,17,5,19,18,6,22,19,5,21,17,6,21,16,5,20,15,5,20,15,5,21,17,5,22,19,6,23,19,6,23,20,6,23,21,7,24,21,7,25,22,
7,24,20,7,24,19,7,24,20,7,25,21,7,26,21,7,25,21,7,25,20,6,24,19,6,23,18,5,20,16,4,19,15,4,18,14,4,17,14,4,17,13,4,16,12,4,16,12,
4,16,12,4,16,13,3,16,12,3,13,11,2,10,8,2,8,6,2,7,4,1,4,3,1,3,2,1,2,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,1,
1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,3,1,1,4,0,1,3,2,1,5,9,4,16,17,6,27,27,10,43,40,13,57,
43,14,59,48,15,66,48,16,70,47,17,71,48,18,77,47,21,86,49,24,94,55,25,101,73,29,112,88,33,125,93,35,131,88,36,129,80,33,120,68,29,105,82,29,104,107,34,125,
116,40,144,114,41,148,107,39,143,93,33,129,53,22,90,16,9,41,0,2,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,8,15,6,21,42,11,38,48,11,38,
28,6,21,3,1,2,0,0,0,0,0,0,0,0,0,1,1,1,1,8,5,4,18,11,4,20,13,4,22,16,5,26,22,7,29,28,8,31,31,8,33,33,8,33,34,8,36,36,
10,41,40,35,47,58,50,52,68,27,51,51,12,46,40,10,41,39,9,36,36,7,27,27,3,11,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,27,6,16,63,14,40,101,24,56,186,49,125,204,56,122,209,60,83,212,62,69,213,65,99,210,65,127,202,63,143,180,59,127,140,45,87,115,33,73,72,19,52,45,16,39,
68,30,63,73,37,72,56,29,59,25,15,36,12,10,31,31,17,46,56,29,65,45,30,57,26,22,41,23,16,38,21,12,37,31,20,42,52,28,55,45,28,51,29,21,41,23,14,35,
24,20,33,25,32,36,23,35,38,19,29,36,21,27,34,25,28,32,31,33,30,35,37,31,35,38,31,32,36,26,26,31,22,24,29,22,35,40,24,50,53,23,40,41,17,35,37,17,
37,39,24,37,40,30,35,40,31,35,38,28,34,37,26,32,35,25,28,32,24,24,28,22,22,27,21,20,26,20,18,25,18,16,22,15,16,21,14,17,22,16,15,22,18,10,19,19,
5,17,17,4,18,16,5,20,16,6,21,16,5,19,14,4,17,14,5,18,16,6,22,18,6,23,20,6,23,20,6,24,21,6,23,20,6,23,20,7,24,21,7,25,22,7,27,23,
7,27,23,7,25,21,6,24,20,6,22,18,6,20,16,5,19,14,4,17,13,4,16,11,4,15,11,4,15,10,4,15,10,4,16,11,4,16,11,4,15,11,4,15,10,4,15,10,
4,15,10,4,15,10,3,14,9,3,13,8,3,13,8,3,13,9,3,13,9,3,12,8,2,7,5,1,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,2,1,4,10,4,16,11,4,19,9,3,14,19,5,20,30,7,30,33,9,38,25,8,34,12,4,19,3,2,7,0,0,1,3,1,6,15,6,24,
18,7,30,21,10,41,36,16,68,48,21,85,51,20,85,50,19,79,49,19,79,45,21,84,45,23,90,54,25,99,72,29,112,93,34,126,97,36,132,82,33,123,71,28,102,81,26,93,
96,29,104,110,35,126,120,41,147,124,43,152,111,39,143,72,27,108,27,13,59,5,5,23,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,6,3,13,28,9,30,
49,12,42,38,9,28,9,2,7,0,0,0,0,0,0,0,0,0,2,4,5,3,15,11,8,24,16,17,25,18,10,22,17,5,25,20,7,28,26,8,30,31,9,33,34,9,34,34,
8,35,35,10,40,39,29,46,54,44,51,64,24,50,49,12,46,39,10,42,39,9,36,36,8,27,28,3,10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
22,5,14,58,13,34,110,26,61,189,50,135,209,58,140,203,56,77,208,60,67,213,66,103,210,65,132,206,65,143,188,62,126,140,44,82,98,28,60,69,19,54,53,18,49,77,33,72,
96,42,87,53,28,55,19,13,33,13,11,33,36,20,51,56,31,67,41,29,54,25,21,40,22,15,37,23,12,37,43,23,50,49,28,52,40,27,48,25,18,38,23,14,34,24,25,34,
25,35,37,21,33,38,19,28,35,21,27,34,26,27,30,30,30,25,32,33,26,31,35,27,27,29,18,22,24,13,31,34,19,49,51,24,58,58,21,50,51,17,40,42,20,37,40,27,
37,40,31,35,38,28,33,36,22,31,33,17,27,29,16,22,25,18,20,24,19,19,24,17,16,22,16,15,19,12,14,17,9,16,19,11,20,24,19,17,23,21,8,18,18,4,13,13,
3,10,9,3,13,9,4,14,10,4,16,13,4,16,15,4,17,15,5,19,17,6,22,19,6,23,20,6,23,20,6,23,19,6,23,20,7,24,21,6,23,20,5,20,16,4,17,13,
4,14,10,4,13,10,4,15,10,3,16,11,4,16,11,4,17,12,5,19,13,5,19,14,5,20,15,5,21,15,5,21,15,5,21,16,5,21,15,5,19,14,4,18,13,5,18,13,
4,18,13,4,17,12,4,14,9,3,12,9,3,12,8,3,12,8,3,12,8,3,10,7,1,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,2,1,4,12,4,20,24,8,37,30,10,44,46,14,56,58,16,63,62,16,66,57,14,61,48,12,53,40,11,47,34,9,38,32,7,32,32,7,29,
17,4,14,6,3,15,10,10,42,25,17,70,40,23,91,61,26,101,72,24,97,63,20,84,51,19,79,41,19,79,35,19,79,67,27,102,96,33,123,103,36,132,95,35,131,85,33,120,
76,27,96,87,26,86,111,32,112,126,41,141,121,43,149,106,38,139,78,28,114,44,18,78,15,9,39,5,2,12,21,5,18,16,3,12,1,0,0,2,1,1,14,3,11,17,5,18,
27,8,29,49,13,44,49,12,38,17,4,11,0,0,0,0,0,0,13,4,10,17,15,21,24,21,24,49,31,25,54,33,27,23,28,22,5,29,22,6,29,26,9,33,33,8,35,35,
11,35,36,10,35,36,9,39,38,24,44,51,39,50,61,26,51,51,11,47,40,10,42,39,9,37,37,8,28,28,3,11,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,23,5,13,
59,14,41,106,26,62,183,49,129,206,57,141,202,56,90,201,57,65,207,62,99,212,67,142,208,66,153,189,62,123,147,48,81,102,30,64,68,19,57,55,19,53,87,36,80,92,41,81,
54,28,55,19,13,34,15,11,35,37,21,52,50,31,63,29,27,46,20,19,38,21,14,37,25,12,38,50,21,52,50,27,53,34,24,43,23,16,36,23,16,34,25,28,35,23,34,36,
17,30,35,15,24,32,19,23,32,25,24,27,27,25,22,27,27,20,28,30,19,30,30,12,24,23,6,39,39,10,61,62,20,56,57,18,41,42,18,36,38,22,35,39,25,34,38,25,
34,36,22,32,34,18,30,30,14,23,25,9,16,20,10,11,18,14,14,20,16,15,19,12,15,16,7,15,16,6,17,18,10,16,19,14,15,20,15,17,23,14,21,25,9,9,10,3,
1,2,1,2,7,4,3,11,9,4,15,14,4,16,15,5,19,17,6,21,18,6,22,18,6,22,18,5,20,17,4,17,15,4,15,13,4,13,11,3,10,8,2,8,5,2,9,6,
4,14,9,5,18,14,6,21,16,6,21,15,5,21,15,5,21,15,5,20,14,5,19,14,4,18,13,4,17,12,4,16,12,4,16,11,4,16,11,4,15,9,3,14,10,3,14,9,
3,14,9,3,14,10,3,13,9,3,10,6,2,7,5,2,7,4,2,7,4,1,5,3,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,2,1,4,9,2,13,18,5,25,28,9,37,44,15,54,57,19,68,65,20,74,65,19,73,66,19,73,72,19,77,79,20,79,78,20,76,
65,16,64,45,11,47,31,11,47,31,14,61,32,17,71,37,21,82,60,25,100,76,27,106,76,25,99,65,21,86,56,20,85,49,21,85,59,24,93,81,29,111,100,34,127,104,37,133,
92,35,128,80,29,107,96,29,97,118,35,110,124,38,129,119,40,142,113,39,142,92,33,127,60,24,96,32,14,60,38,11,49,47,11,44,27,5,21,14,3,10,42,9,32,60,14,46,
46,11,37,28,8,29,42,11,40,50,12,41,22,5,17,1,0,0,15,6,13,47,22,40,53,24,46,61,29,36,80,38,37,65,39,34,26,32,25,6,30,22,7,33,31,7,36,35,
28,40,49,38,39,53,16,35,37,7,38,36,28,44,53,47,51,65,28,51,53,11,47,39,10,42,39,9,37,36,8,28,29,3,11,11,0,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17,4,11,56,13,36,
101,24,59,175,47,121,208,58,151,199,55,99,192,54,59,202,60,95,210,65,141,212,68,161,193,64,130,149,48,84,103,30,67,64,18,54,58,20,57,80,35,74,106,45,86,80,33,60,
28,13,33,17,11,36,46,23,59,48,30,61,24,25,43,18,18,35,19,12,36,30,13,41,50,16,49,47,18,47,27,16,38,24,14,36,23,18,32,24,31,34,21,31,34,12,24,28,
7,19,26,9,14,23,16,14,21,19,17,20,20,21,18,32,32,14,52,52,13,59,58,13,58,58,14,57,56,14,46,46,16,36,39,21,34,38,24,33,38,23,33,36,19,33,33,16,
30,31,14,26,28,12,22,25,10,16,21,11,11,18,15,8,14,10,14,17,9,20,19,8,19,20,10,15,17,9,14,16,7,20,21,7,31,32,8,34,34,8,26,25,6,5,7,3,
1,5,5,3,10,9,4,14,13,4,17,15,5,19,17,6,22,18,5,20,16,4,16,13,3,11,10,2,8,7,2,7,5,2,9,6,3,11,8,3,14,10,4,17,12,5,19,14,
6,21,16,6,21,16,5,20,15,4,17,12,4,15,10,4,15,10,4,14,10,4,14,10,4,15,11,4,15,12,4,16,12,4,17,12,4,17,13,4,18,13,5,18,13,5,18,14,
5,18,14,5,19,14,5,19,14,5,18,13,4,15,11,3,14,10,3,13,10,3,11,8,2,8,6,1,6,4,1,5,3,1,4,3,1,4,3,0,2,2,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,6,1,5,26,6,23,36,8,33,33,8,31,27,9,31,26,11,37,33,14,45,45,18,57,58,20,70,70,23,83,76,25,89,83,26,91,
90,27,96,87,25,93,75,21,82,64,18,75,55,18,74,46,18,74,39,21,81,44,25,94,68,28,107,87,30,113,89,28,109,82,26,102,68,25,95,53,24,87,63,25,94,98,33,120,
113,36,131,97,34,125,83,31,115,94,32,107,112,34,105,129,39,123,135,42,140,126,41,143,100,35,131,72,27,106,47,17,67,44,12,46,51,13,49,41,10,36,51,12,43,77,20,65,
84,21,70,58,14,47,29,7,26,34,10,35,56,14,45,40,9,27,1,1,3,20,11,24,52,25,49,62,28,54,73,32,49,85,40,45,70,40,36,31,33,26,7,31,22,7,34,29,
18,38,41,47,44,61,49,41,59,18,36,40,8,35,34,29,40,49,48,50,66,24,50,50,10,45,36,9,39,35,9,36,37,8,29,29,3,11,11,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,3,8,51,12,31,93,22,53,
158,41,104,204,57,151,196,54,103,190,53,63,200,59,97,208,64,134,212,68,162,193,64,132,151,48,85,125,36,84,84,23,68,60,21,57,84,35,77,106,44,85,92,36,60,53,18,40,
27,12,38,44,22,57,46,30,60,23,24,43,17,17,35,22,13,36,34,13,43,49,15,48,38,12,38,23,10,34,22,10,34,17,16,32,15,27,31,13,27,28,10,19,23,5,13,18,
4,8,16,8,6,14,10,10,17,17,18,16,39,39,14,67,66,16,89,89,22,84,84,21,57,57,17,39,39,18,34,37,23,33,38,24,33,37,20,33,34,17,32,32,15,30,30,13,
24,26,10,17,22,10,15,19,10,24,27,10,36,39,13,27,27,9,22,22,11,20,21,11,19,20,9,26,27,7,33,32,7,32,32,7,21,21,6,10,12,6,3,8,7,2,9,9,
3,12,11,4,16,15,5,19,17,5,18,16,4,16,14,3,11,10,2,7,6,1,6,4,2,7,4,2,10,6,3,14,10,5,18,13,5,19,13,4,17,12,5,16,11,3,15,11,
4,15,11,4,15,11,3,15,11,3,15,11,4,16,12,4,17,14,5,19,15,6,20,17,6,21,18,6,21,18,6,21,18,6,21,17,6,20,16,6,20,16,6,20,16,6,20,16,
6,20,16,6,20,16,6,20,16,5,20,15,5,19,14,5,18,13,4,17,12,4,17,12,4,15,10,3,13,9,3,12,8,2,12,7,2,11,7,2,9,6,1,4,3,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,3,1,3,24,6,23,42,11,43,49,13,49,49,12,50,44,13,51,36,12,49,27,10,39,25,10,37,34,14,46,50,19,63,67,24,80,
88,31,99,94,32,105,92,30,102,90,28,99,87,26,96,85,25,94,73,24,93,56,24,94,49,26,99,66,29,107,93,33,117,107,34,121,103,32,117,84,26,102,60,23,86,69,24,91,
97,31,110,115,35,123,102,33,123,87,32,120,84,30,109,110,34,106,135,42,120,141,45,133,125,38,134,103,34,128,80,27,104,52,17,61,41,13,42,48,13,48,59,15,55,80,22,73,
104,28,90,108,29,87,82,20,61,33,9,29,42,11,37,77,20,55,44,10,31,1,2,7,16,11,24,52,24,51,64,32,58,72,38,51,85,40,45,73,40,39,32,33,27,6,31,22,
6,34,29,22,39,47,60,47,72,52,44,62,19,37,37,8,34,32,25,40,47,45,48,64,24,47,47,9,42,32,9,38,33,9,36,37,7,27,27,2,10,10,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,2,5,48,10,30,86,20,49,155,40,102,
202,56,154,193,53,109,184,51,63,196,57,90,210,64,139,212,67,160,195,65,133,151,50,86,129,38,82,116,32,79,79,25,60,83,35,76,100,42,79,91,36,59,60,19,40,31,12,39,
46,20,56,47,26,59,20,22,40,18,16,34,22,12,36,36,14,43,50,15,48,33,10,36,22,9,33,21,9,34,15,18,31,9,24,28,5,20,22,4,15,17,3,11,16,4,6,13,
18,16,16,21,21,19,28,29,17,52,51,14,79,79,19,92,92,24,85,85,22,61,62,19,44,52,23,38,46,26,33,37,23,32,35,18,33,33,17,31,31,14,28,29,10,24,26,11,
18,21,11,23,25,9,40,40,11,56,56,16,53,53,17,29,30,13,19,20,9,27,28,7,34,34,8,29,29,6,16,17,5,6,9,5,2,7,7,1,8,10,3,12,11,4,14,13,
4,14,13,4,15,13,3,12,11,2,7,6,0,3,2,0,3,2,2,8,5,3,13,8,3,13,9,3,13,9,3,11,8,3,11,7,3,11,7,2,11,7,2,11,9,3,12,9,
3,15,12,5,17,14,7,20,16,9,23,17,8,21,16,5,18,15,5,19,16,5,19,15,5,19,15,5,19,15,5,19,14,5,18,14,4,17,12,4,17,12,5,17,13,4,16,12,
4,17,12,5,18,13,5,18,13,4,17,12,4,16,11,4,16,11,4,16,11,4,16,11,4,16,11,5,16,11,8,17,19,8,17,18,6,14,14,4,13,11,3,10,7,1,5,2,
0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,4,2,6,14,7,18,23,10,28,35,12,40,46,16,58,55,19,72,56,19,74,49,16,65,35,12,47,25,9,35,31,11,42,
54,20,64,76,27,86,88,31,99,93,33,104,98,34,107,104,34,110,102,33,110,92,29,105,76,28,104,60,28,103,59,29,105,81,33,113,102,36,121,112,36,123,104,32,117,81,27,102,
71,25,92,89,29,101,110,34,118,113,34,124,94,31,115,81,27,100,107,33,107,137,44,120,141,46,124,131,40,129,123,37,132,103,31,118,66,19,77,42,14,45,51,15,51,76,21,74,
101,28,92,125,36,99,133,37,98,104,26,76,70,17,58,54,15,45,82,21,58,57,14,40,14,4,15,25,10,28,47,24,48,65,35,61,74,40,55,83,40,45,74,39,38,40,37,31,
10,34,25,5,34,30,25,40,49,58,48,70,50,48,59,20,41,37,9,36,32,28,39,48,42,47,61,22,46,44,9,42,31,9,38,33,9,32,32,6,21,22,2,7,7,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,1,2,43,9,28,75,17,41,138,35,84,195,53,147,
199,56,132,177,48,73,186,53,83,204,62,131,213,68,163,196,65,139,152,49,88,133,39,82,129,35,82,105,32,66,88,37,73,90,41,74,91,36,60,56,18,40,27,11,36,46,20,56,
43,19,55,15,11,32,17,13,32,24,12,38,39,14,44,42,12,40,29,9,33,23,8,34,21,10,34,14,19,30,8,25,28,5,19,20,4,14,16,2,10,16,3,5,8,24,24,12,
56,57,25,67,67,24,69,68,17,91,91,22,91,91,23,69,68,18,46,50,13,49,64,24,51,70,30,39,49,23,29,30,15,30,31,15,30,30,12,27,30,8,28,36,9,31,37,12,
41,42,12,56,56,15,55,55,18,40,40,17,29,30,12,34,35,9,43,44,10,30,30,7,14,14,3,7,8,3,2,8,8,1,9,10,2,11,11,3,12,11,4,13,12,3,12,11,
2,7,7,1,4,3,0,2,2,0,3,2,1,5,3,1,8,5,2,10,7,3,11,7,5,11,5,4,7,3,1,3,2,1,4,3,3,8,6,7,14,10,11,20,13,15,24,15,
19,26,15,21,28,16,22,29,15,23,28,15,15,21,11,5,14,9,3,13,10,3,13,9,4,14,11,4,16,11,4,16,12,4,15,11,4,15,11,4,14,11,3,14,11,3,13,9,
3,12,9,3,13,10,3,13,10,3,13,10,3,13,9,3,13,10,3,13,10,4,13,10,4,13,9,4,13,9,8,15,18,12,17,25,12,17,26,13,17,25,12,16,23,9,12,17,
5,9,12,3,8,7,1,6,4,1,5,2,1,3,2,8,4,9,15,6,16,8,5,12,6,5,12,12,7,19,30,14,44,50,21,71,62,25,84,63,24,84,55,20,74,42,15,57,
30,11,43,30,12,42,48,18,58,70,26,82,87,32,97,97,36,106,104,38,111,106,36,112,103,34,111,93,32,108,76,29,105,59,30,104,61,32,106,92,36,117,117,40,128,118,38,130,
99,33,117,78,27,100,78,28,96,100,32,109,114,34,116,101,29,106,88,26,99,109,32,112,136,43,124,143,46,124,142,45,130,136,42,139,118,34,129,87,25,97,64,18,65,66,20,66,
85,25,85,114,33,98,136,40,106,142,40,108,130,35,101,83,21,69,57,15,48,75,20,56,72,18,56,55,13,44,35,11,34,48,22,49,62,34,60,71,38,53,93,41,52,101,46,49,
62,43,40,10,35,26,4,34,29,25,39,48,66,52,75,54,50,61,22,41,38,10,36,32,30,39,50,46,46,63,19,46,42,10,41,32,9,35,31,7,25,25,3,13,13,0,2,2,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,32,7,18,69,15,36,130,32,78,187,51,135,194,53,133,
175,47,94,179,50,99,193,57,124,208,66,162,202,67,152,158,52,97,132,40,85,142,39,90,127,36,81,106,39,82,82,38,66,77,33,50,58,19,42,34,13,41,39,18,53,34,17,49,
14,7,30,16,9,30,25,13,38,44,15,48,43,12,38,21,7,25,17,7,30,18,9,31,12,17,28,23,39,28,25,38,23,6,14,16,2,8,15,7,8,7,30,30,7,59,62,19,
80,84,24,85,86,21,97,97,25,85,84,22,54,55,14,45,54,14,50,68,19,47,64,20,41,48,18,31,31,15,28,28,13,28,28,10,28,35,8,35,46,11,47,56,13,58,60,16,
58,58,18,45,45,18,30,30,12,33,33,10,49,49,12,59,59,14,47,47,12,19,19,4,18,18,4,26,28,10,9,17,12,2,11,11,2,10,10,2,8,9,0,4,5,0,2,2,
0,1,1,0,3,3,1,6,4,1,8,6,4,10,5,9,12,5,16,17,5,23,23,7,30,28,10,23,24,10,14,17,10,17,20,11,20,23,12,21,25,13,21,26,12,19,24,11,
16,21,10,12,17,8,9,15,8,7,14,9,4,11,8,2,9,8,2,8,7,1,7,6,2,7,6,2,8,6,2,8,6,2,6,4,1,5,4,1,5,4,1,5,3,1,5,3,
1,4,3,1,4,3,1,4,3,1,4,3,1,4,3,1,4,3,2,5,4,1,4,3,1,4,3,1,5,3,2,6,5,3,10,8,5,13,12,6,14,15,8,15,18,12,14,23,
20,15,30,22,14,31,16,14,26,10,11,18,9,11,15,21,12,22,33,13,32,32,9,29,25,6,22,16,4,15,11,6,17,21,15,38,40,23,60,50,25,71,59,27,81,63,26,86,
61,23,82,48,18,66,34,13,49,31,15,53,46,20,69,70,27,84,92,34,100,103,38,109,106,38,111,107,37,113,108,36,115,97,32,112,72,29,106,59,30,105,74,34,112,104,39,123,
122,41,132,117,39,129,95,31,112,76,26,96,86,29,99,110,33,110,112,33,111,103,30,105,106,31,108,129,40,121,142,47,125,144,48,130,141,45,139,133,40,140,117,33,120,98,28,92,
78,24,76,82,25,83,113,33,100,136,40,107,145,43,113,137,39,110,94,24,78,60,15,51,84,22,66,110,29,88,79,19,65,35,10,34,46,20,45,76,37,64,89,45,62,113,49,60,
115,50,55,60,46,43,16,39,34,18,36,38,29,40,51,64,51,74,55,51,62,18,41,36,10,35,33,32,40,50,43,46,62,16,44,39,8,41,31,7,31,27,4,16,16,1,4,4,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,25,6,14,64,15,40,99,23,56,176,47,126,193,53,139,173,46,101,
169,47,106,191,56,136,206,64,161,201,65,155,167,55,106,139,42,87,144,40,94,147,41,98,126,38,93,96,36,70,80,32,52,69,23,46,57,18,54,54,21,59,35,17,49,12,6,29,
23,23,30,39,40,41,51,30,50,38,11,33,17,5,22,14,6,25,12,7,23,10,14,21,26,36,22,37,45,20,16,20,13,1,2,10,10,11,6,39,38,8,66,67,16,88,96,24,
101,113,29,100,105,27,73,73,18,43,46,11,45,58,16,49,70,18,43,55,14,42,44,13,52,51,18,42,42,15,29,33,9,32,41,10,42,52,12,55,59,14,63,62,18,52,52,18,
35,35,15,33,34,11,50,50,12,65,66,17,63,66,17,50,51,13,39,39,10,40,40,10,45,47,14,28,33,14,6,13,10,1,7,8,0,3,4,1,3,2,7,9,3,12,15,6,
9,15,7,7,13,7,9,14,5,18,19,6,27,26,8,36,33,11,42,40,15,42,42,16,40,38,16,30,30,13,19,20,9,14,15,6,10,13,6,6,12,7,4,10,5,2,7,5,
1,5,3,0,3,2,0,3,2,0,2,3,0,2,2,0,1,1,0,1,1,0,1,1,1,2,2,1,4,2,2,5,3,2,6,4,2,7,4,3,9,6,3,11,7,3,11,8,
3,12,8,3,12,8,3,12,9,3,12,8,3,12,8,3,12,8,3,12,8,3,9,6,2,8,5,2,7,5,2,7,4,2,7,4,2,7,4,1,8,4,3,8,8,11,10,17,
26,14,33,36,16,40,36,16,40,32,16,38,27,16,35,25,16,35,26,15,35,28,12,34,31,9,33,33,8,32,31,8,28,28,12,29,35,18,41,39,22,50,39,23,57,49,26,71,
62,30,85,69,30,92,67,26,88,54,21,77,40,17,67,34,17,62,52,21,72,81,31,92,99,36,105,105,39,111,108,41,116,113,41,120,111,38,118,93,33,113,67,31,108,59,31,106,
88,37,117,120,43,130,127,42,135,110,36,124,77,26,96,72,25,88,98,31,105,108,33,107,100,29,97,97,28,98,118,36,116,140,45,126,145,49,129,144,47,137,143,45,141,134,40,126,
113,32,101,83,25,78,78,24,79,107,32,97,131,39,105,145,44,115,141,41,115,120,32,101,93,24,78,110,31,92,121,34,102,75,19,65,41,11,34,78,29,56,108,49,76,108,53,72,
117,51,62,114,51,58,72,50,57,53,46,60,27,39,44,22,39,46,73,54,77,67,53,64,19,41,36,12,35,32,29,35,45,30,39,49,19,45,40,12,40,31,5,26,22,2,10,10,
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,21,5,12,65,15,43,76,17,46,146,38,108,191,52,140,168,45,105,161,44,107,
183,53,130,203,62,156,204,67,161,170,57,111,136,41,85,141,40,90,147,41,95,136,37,100,100,28,69,78,26,48,64,20,44,65,20,59,70,25,70,39,18,50,13,6,28,20,21,26,
46,58,42,68,62,54,44,21,33,12,4,17,13,6,25,10,7,20,6,14,16,29,36,16,34,36,12,10,11,9,0,0,6,19,19,6,55,60,13,79,86,20,94,105,26,110,125,33,
104,118,32,70,74,19,42,48,11,52,71,19,55,78,20,41,49,13,45,46,16,62,62,22,62,63,19,46,53,13,40,51,12,52,58,14,62,62,17,67,66,21,64,64,23,54,54,17,
49,50,13,62,63,16,79,83,21,77,84,22,58,65,17,49,50,13,52,52,15,56,59,20,48,51,21,25,28,13,4,7,6,2,3,2,12,14,3,27,30,9,41,45,14,46,50,15,
40,43,13,34,33,10,36,33,9,41,36,10,42,38,11,37,36,14,28,29,12,18,19,8,9,10,4,3,5,2,0,4,2,0,3,2,0,3,3,0,3,2,0,2,2,0,0,0,
0,0,0,1,2,1,3,4,2,4,6,3,7,10,4,10,12,5,12,14,6,14,16,7,15,19,8,16,22,11,17,23,12,17,23,12,18,24,11,13,20,11,4,14,10,4,14,11,
4,15,11,4,15,11,4,15,10,4,15,11,4,16,12,4,16,12,4,16,12,4,16,11,4,15,11,4,15,10,4,14,9,3,13,9,3,13,9,3,12,8,8,12,16,15,13,29,
24,15,41,31,16,44,33,15,43,36,14,44,38,15,44,37,16,42,33,16,40,30,17,39,26,15,37,25,14,35,28,13,35,32,12,35,36,13,37,40,16,41,39,18,42,42,21,51,
53,28,71,62,33,83,67,34,89,70,32,92,67,28,90,58,23,80,46,19,71,42,21,73,61,27,88,85,33,99,100,37,106,107,41,113,114,43,120,117,42,123,108,39,121,83,33,113,
61,30,106,70,34,110,105,42,123,128,45,135,117,38,127,79,25,95,64,21,81,86,28,98,105,33,107,102,30,99,96,28,97,117,35,116,141,45,130,145,48,128,146,49,128,147,47,134,
142,44,132,126,37,113,98,29,90,80,24,80,103,30,96,138,41,109,149,46,116,151,45,127,137,38,119,104,28,92,111,32,95,120,34,103,84,22,72,65,17,46,103,37,68,118,53,82,
113,55,72,117,52,63,116,52,63,88,53,72,55,48,64,20,37,39,38,41,54,94,58,86,65,53,64,14,37,31,11,27,25,40,33,48,51,46,56,34,48,42,14,39,29,5,24,20,
2,9,9,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,2,5,48,11,30,75,17,46,133,33,97,181,49,137,173,47,114,156,42,106,169,48,122,
196,59,147,204,66,159,178,60,122,143,44,90,141,40,91,147,41,94,138,38,97,103,29,73,75,20,45,62,17,42,63,19,56,68,23,68,36,16,48,13,7,29,20,21,27,45,58,40,
63,59,48,42,24,30,9,2,12,9,4,20,9,6,18,6,13,14,28,36,15,37,42,12,17,26,12,5,7,8,26,27,7,68,78,18,96,114,28,108,124,32,113,129,35,99,112,30,
61,68,17,42,52,13,57,81,22,63,89,24,53,65,18,54,54,19,64,64,22,57,59,17,50,59,15,59,67,17,72,74,19,70,69,20,69,69,24,74,75,25,77,78,22,77,78,19,
79,82,22,81,87,24,80,85,23,70,72,19,58,58,15,55,55,14,58,60,20,52,55,19,38,39,13,23,23,6,19,19,4,31,31,7,46,47,13,57,59,17,62,62,18,60,58,16,
59,56,14,57,52,14,41,37,9,25,23,6,13,12,3,5,6,3,1,2,1,0,0,0,0,0,0,0,2,1,3,5,2,7,8,3,14,12,4,15,14,3,9,8,2,11,9,2,
14,13,3,16,16,6,18,20,8,17,20,8,17,20,8,16,20,9,15,18,8,13,15,7,12,14,6,10,14,6,10,13,6,10,13,6,9,12,6,5,9,5,1,7,4,2,7,4,
2,7,5,2,7,4,2,7,4,2,8,5,4,11,9,4,11,10,4,12,10,3,12,9,3,11,8,2,12,7,3,12,7,3,12,8,3,13,8,3,13,9,7,14,15,13,17,27,
20,20,39,22,21,43,25,20,45,30,18,50,37,18,56,39,16,56,40,15,51,39,14,46,38,15,44,34,16,41,29,16,39,27,16,38,28,15,37,29,14,36,33,13,37,40,15,42,
47,21,54,54,29,66,58,32,75,61,34,82,65,35,88,71,34,92,76,31,93,66,26,86,49,24,84,45,25,84,61,26,87,83,31,93,99,38,105,108,43,115,114,43,121,116,42,123,
100,37,118,71,31,109,60,31,106,88,38,116,117,43,128,120,41,129,96,30,108,68,21,83,77,25,91,101,32,106,106,32,102,100,29,98,116,35,113,136,43,125,145,48,121,147,48,118,
151,49,132,148,47,137,137,41,125,108,31,98,80,25,80,105,32,96,140,42,109,151,47,119,154,48,132,139,41,124,107,30,94,109,32,94,122,35,105,92,28,80,78,25,58,109,39,72,
129,55,87,118,56,74,117,52,63,114,53,66,84,54,75,58,49,65,19,36,37,52,48,61,105,70,89,56,55,57,9,33,26,24,28,31,77,42,60,88,53,62,44,47,40,8,35,25,
5,21,19,2,6,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,2,42,9,27,54,12,31,122,30,88,182,49,143,168,44,127,149,40,111,158,45,116,183,54,129,
197,62,147,178,60,124,153,49,98,148,44,100,147,42,94,138,38,98,104,29,72,82,23,48,68,19,44,58,19,52,62,21,63,41,20,50,14,11,27,20,20,25,45,58,40,68,63,54,
38,23,28,2,0,8,11,8,20,12,11,16,9,10,7,28,30,10,42,49,14,33,54,19,28,55,17,41,51,12,74,85,20,102,123,31,116,137,36,118,136,37,92,104,28,54,60,14,
58,68,18,74,98,27,63,87,23,54,65,18,60,61,22,64,64,20,52,58,15,57,65,16,81,85,22,91,91,25,83,85,27,78,82,28,82,83,26,88,88,24,89,90,24,86,91,25,
81,87,24,74,77,21,66,67,17,63,62,15,58,56,14,51,50,13,41,41,12,32,33,8,38,38,9,52,53,13,62,62,16,63,62,16,65,63,17,66,64,17,59,56,15,53,48,13,
49,45,12,37,34,9,13,13,3,2,2,1,7,6,1,16,15,4,23,21,5,24,23,6,23,22,6,24,23,6,29,26,7,35,32,8,39,35,9,34,31,9,22,20,5,14,12,3,
10,9,2,7,8,3,5,7,3,3,4,2,2,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,2,7,6,2,7,6,2,8,7,3,9,7,2,9,7,
2,8,7,2,8,6,2,9,6,2,9,6,7,12,15,10,14,21,10,14,21,9,14,20,8,14,19,8,13,17,7,13,16,5,12,13,5,12,11,4,12,10,3,11,8,4,12,10,
5,13,14,8,15,20,12,17,27,19,20,37,27,23,50,33,23,56,35,22,58,38,19,58,42,18,59,45,17,59,44,16,53,41,15,48,44,17,48,36,17,45,29,16,37,26,14,31,
31,14,35,39,19,45,46,23,54,53,28,64,57,32,74,61,34,81,67,35,88,75,35,94,77,33,96,65,29,92,45,24,83,41,23,79,64,28,87,85,33,97,96,37,106,109,41,116,
116,42,121,111,40,121,87,34,114,59,30,105,71,33,109,109,41,124,127,45,133,115,37,121,85,25,94,80,23,88,96,30,98,106,33,98,100,30,94,104,31,98,131,41,117,147,48,121,
150,49,119,150,49,129,146,47,133,139,42,127,113,32,102,81,24,80,103,32,94,138,42,108,149,46,118,155,48,133,140,42,125,107,29,94,111,32,95,120,37,106,87,30,78,76,25,56,
117,40,77,138,57,89,123,57,76,121,54,68,112,53,68,87,55,78,52,47,61,31,46,39,97,77,74,116,85,90,44,50,51,9,33,26,55,34,45,106,49,71,88,53,60,35,44,36,
6,34,24,8,20,16,11,12,6,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,36,8,22,57,13,35,84,20,54,174,46,138,174,46,135,148,39,127,152,43,125,176,52,125,194,60,144,
175,55,123,151,47,100,160,47,116,159,46,103,145,40,104,113,31,80,92,25,50,74,20,43,59,18,51,64,21,63,36,16,45,24,35,29,36,52,31,47,60,40,65,60,52,42,25,31,
2,0,5,10,10,18,28,41,22,29,44,13,39,44,9,39,43,10,35,60,20,41,73,23,61,82,20,84,98,23,105,125,31,115,136,36,116,133,36,83,92,24,53,58,15,77,88,23,
96,114,31,77,93,25,56,62,16,59,58,17,62,65,20,52,61,16,67,75,19,96,98,26,103,102,29,98,101,33,92,100,33,91,96,28,97,98,27,97,100,28,87,92,26,77,81,22,
69,70,19,68,68,18,73,72,19,70,70,18,58,57,15,44,44,11,42,42,10,60,60,15,73,74,19,77,77,20,74,73,19,67,65,18,59,56,15,47,44,11,34,30,8,24,21,6,
16,15,4,13,13,3,19,19,4,29,28,7,41,38,10,48,45,12,49,46,13,42,40,10,37,33,9,38,35,9,37,35,9,33,32,8,30,30,7,27,27,7,20,20,5,7,7,1,
2,3,0,4,4,1,1,1,0,0,0,0,1,0,0,1,1,0,3,3,1,3,4,2,1,3,2,3,5,8,8,9,17,9,12,19,9,11,18,9,10,18,9,10,18,8,11,18,
8,11,18,8,11,18,8,10,18,7,10,17,9,12,19,10,14,22,12,15,25,12,15,25,10,15,23,10,14,23,10,14,22,9,14,22,13,15,26,16,16,31,16,16,30,12,13,23,
7,10,15,4,9,11,2,10,8,5,12,13,14,18,29,22,22,42,25,23,48,29,24,52,35,25,58,41,25,64,46,24,67,47,21,64,49,19,61,49,16,56,45,16,49,34,14,36,
24,11,24,23,9,24,29,12,33,39,18,48,47,23,56,53,27,64,58,32,76,62,36,85,69,38,92,77,38,99,71,34,96,42,24,84,26,21,79,51,26,88,79,31,96,90,34,104,
102,39,113,114,43,120,115,41,121,98,38,117,67,30,107,73,32,109,105,40,122,125,45,131,125,41,128,104,30,106,82,22,83,91,27,82,106,33,94,99,31,92,101,30,95,129,40,119,
149,49,127,150,49,119,149,48,126,148,48,135,141,43,129,116,33,105,80,24,80,99,30,94,136,41,108,150,46,118,155,48,133,143,42,128,110,30,96,114,32,94,120,36,105,89,31,81,
83,30,62,135,47,85,152,62,94,131,62,79,120,56,67,114,55,71,97,59,82,55,50,61,41,50,41,109,83,80,112,80,87,39,46,47,15,34,29,76,39,60,112,52,76,75,49,52,
23,41,31,17,38,22,47,42,15,23,18,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,21,5,12,55,13,34,73,16,46,144,36,109,183,50,146,157,41,131,149,41,129,170,50,123,194,59,141,178,54,126,
145,43,93,156,46,111,164,47,112,159,45,114,129,35,91,110,30,58,109,30,52,80,23,55,64,20,62,38,15,45,24,31,30,46,70,35,60,84,44,67,65,51,47,27,35,4,0,6,
5,7,10,28,45,16,45,76,20,59,80,17,44,53,13,32,56,19,48,79,23,70,89,21,89,104,25,105,126,32,116,137,36,116,130,35,79,87,22,56,63,16,84,97,26,101,119,33,
89,101,26,69,71,18,64,62,16,65,74,19,67,86,23,83,93,24,101,101,27,103,103,30,100,105,31,98,104,32,100,104,30,100,103,29,95,100,29,84,90,26,72,75,21,69,69,18,
73,72,19,76,75,20,71,71,19,62,62,16,63,63,16,73,73,19,83,83,22,84,84,23,76,75,20,67,65,17,59,57,15,50,51,13,37,38,10,20,18,4,12,11,3,17,16,4,
32,30,7,48,46,12,56,54,15,53,50,14,46,43,12,39,37,9,32,30,8,27,26,7,26,26,6,26,26,6,26,26,6,26,26,6,25,26,6,26,27,6,26,27,6,24,24,6,
25,25,6,23,22,6,15,14,4,14,13,3,17,15,4,19,17,4,21,20,6,15,15,5,3,5,2,2,3,5,4,6,10,4,6,10,4,6,10,4,7,10,4,8,10,5,10,12,
5,11,13,6,11,14,6,12,14,6,12,15,8,13,17,13,15,26,20,18,36,22,19,39,21,19,38,21,19,38,20,18,35,17,17,32,17,16,32,18,17,34,18,17,36,19,17,37,
19,15,36,19,13,34,16,12,29,11,12,22,10,13,23,13,16,28,16,18,32,22,20,39,26,22,44,28,23,50,32,26,56,38,27,62,43,27,66,47,25,66,48,22,63,49,17,56,
45,13,46,34,9,33,25,7,25,24,9,32,32,13,44,39,17,51,48,23,61,56,30,75,60,35,82,64,38,91,66,39,96,59,35,95,46,27,89,36,24,86,50,26,91,72,30,96,
85,33,100,96,37,108,106,40,115,112,41,119,98,38,117,78,32,111,75,32,111,94,36,114,119,42,124,128,43,130,111,33,113,84,23,82,87,25,78,104,33,93,103,32,94,100,31,94,
126,40,117,148,48,128,150,49,120,149,48,122,148,48,129,142,43,129,117,33,107,86,26,84,102,32,95,136,41,107,150,46,118,159,51,136,151,45,129,120,33,99,117,33,98,133,44,118,
89,39,83,98,36,69,153,52,93,159,67,99,129,64,80,122,58,68,122,60,79,97,61,84,52,49,57,58,58,47,124,88,90,101,72,81,25,41,37,21,30,29,72,37,52,91,48,56,
63,48,45,20,39,26,47,49,22,55,41,15,12,10,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,2,6,52,11,33,65,14,40,115,28,82,171,45,133,160,43,133,144,39,129,164,48,126,191,58,138,190,58,140,156,47,103,
151,44,103,162,47,107,163,46,115,152,42,121,123,34,84,114,31,53,86,24,51,76,23,67,57,19,57,35,30,37,44,67,32,59,84,39,67,68,51,51,30,39,6,1,6,4,7,8,
25,43,14,44,77,17,63,86,20,50,63,15,35,60,20,60,87,26,93,108,27,105,117,30,110,130,34,116,137,36,116,130,35,86,92,23,67,77,19,94,114,31,104,122,34,86,95,25,
69,70,17,65,66,17,67,80,20,79,100,27,99,112,31,105,108,30,101,104,30,98,104,30,95,101,28,101,104,29,103,106,30,94,98,29,78,80,23,70,70,19,76,75,20,83,83,22,
76,75,20,65,65,17,64,65,16,75,75,20,85,85,23,88,88,24,84,83,23,70,69,18,58,56,15,48,49,12,36,40,9,23,26,6,16,17,3,23,21,5,40,38,10,55,53,15,
61,59,16,58,56,15,50,48,12,42,40,10,35,34,9,27,27,6,25,25,6,25,25,6,26,26,6,27,28,6,29,29,7,33,32,8,36,35,9,38,37,10,39,37,10,40,37,10,
36,34,9,29,26,7,22,20,5,20,19,5,19,18,5,17,16,5,15,16,5,9,10,4,3,4,2,1,4,3,1,5,4,1,6,4,1,6,4,1,6,4,2,7,5,2,8,5,
2,8,5,2,8,5,2,10,6,2,10,6,3,11,8,6,13,14,13,16,25,17,17,32,19,18,35,24,20,41,28,22,46,28,22,46,28,22,46,24,21,42,20,20,37,18,19,34,
20,19,35,28,20,41,33,19,44,31,18,43,27,17,40,21,16,36,17,16,33,24,17,34,31,18,40,30,19,41,27,19,43,26,21,45,29,24,51,36,27,59,41,28,64,45,27,66,
48,24,65,49,19,59,45,15,48,36,10,35,25,7,28,24,9,34,33,13,47,43,20,60,53,26,72,60,33,81,61,37,88,57,39,93,57,39,98,53,33,94,41,26,86,41,25,86,
61,28,93,80,30,97,89,34,102,98,38,110,106,40,116,101,39,117,86,34,113,72,29,106,82,30,103,111,39,114,127,44,126,115,36,117,87,24,86,84,23,76,101,31,90,103,33,95,
98,31,94,122,38,114,146,47,128,150,48,118,148,49,116,149,48,128,142,44,130,127,37,116,102,29,95,107,33,99,136,41,107,155,49,120,168,56,138,156,50,130,117,32,96,123,37,106,
125,45,114,90,41,84,113,43,77,159,59,100,155,67,97,129,63,80,122,60,70,121,63,80,94,61,83,71,55,58,88,70,60,125,90,91,80,65,70,14,34,26,28,27,28,78,40,50,
88,48,54,48,41,39,22,35,25,59,52,26,47,36,12,4,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,6,1,3,42,9,26,61,13,37,97,23,65,159,41,120,160,43,131,143,40,133,146,42,116,179,53,124,195,60,147,173,52,126,157,47,111,
162,47,108,162,46,108,161,45,135,140,39,115,123,34,71,85,23,45,64,20,57,71,21,64,72,38,65,74,68,54,63,84,41,61,69,44,49,30,36,5,0,3,17,29,8,34,56,17,
44,76,17,63,87,20,49,62,15,34,59,19,60,88,26,106,119,30,125,135,36,121,138,37,115,136,36,110,124,33,84,90,22,77,89,23,103,126,35,106,130,36,87,98,26,67,67,16,
65,68,17,68,85,22,84,104,28,106,115,32,108,111,32,101,105,31,95,103,29,95,100,27,101,103,29,105,107,32,97,100,30,78,80,22,72,71,20,82,81,22,89,88,24,79,78,21,
66,65,17,72,72,19,84,84,23,86,86,24,82,82,22,78,77,22,68,67,18,52,53,14,39,41,10,25,27,7,17,19,4,28,27,6,46,45,12,61,58,16,65,63,17,56,53,15,
45,44,11,43,41,11,44,44,11,46,46,12,43,43,11,36,36,9,31,30,7,36,36,9,42,41,11,46,45,12,47,45,13,49,45,13,49,45,13,43,39,12,33,30,9,24,22,6,
17,17,4,10,11,3,7,9,3,4,7,3,3,5,2,1,4,2,0,2,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,3,0,0,4,1,1,5,2,2,7,5,4,9,9,5,10,13,6,11,16,10,14,22,15,16,30,19,18,35,22,19,38,24,20,41,26,21,43,26,21,43,
26,21,43,29,21,43,31,21,43,33,20,42,34,20,43,34,20,44,31,19,43,30,18,43,29,18,39,30,15,37,31,15,38,31,16,40,29,17,41,26,20,43,28,22,48,33,25,56,
41,28,64,45,28,66,47,26,65,47,20,57,39,13,41,22,6,22,17,5,20,26,9,35,46,17,58,58,23,71,58,27,75,59,33,83,59,38,92,57,40,97,56,38,96,45,28,84,
38,24,83,51,26,90,74,30,96,85,31,98,90,35,104,100,38,111,104,38,116,88,36,113,65,28,100,67,25,92,102,34,106,121,42,121,115,37,118,91,25,91,82,22,75,98,30,87,
98,31,89,92,29,88,118,37,111,144,47,129,145,47,117,148,48,116,149,48,128,144,45,133,132,39,121,103,30,97,108,33,98,138,41,109,158,53,125,169,60,139,153,49,127,115,32,96,
122,38,107,123,46,114,84,42,79,118,50,81,162,63,102,151,66,95,126,64,76,133,67,75,128,65,87,108,63,86,91,62,60,116,90,71,133,98,93,60,52,54,11,31,22,41,30,34,
86,43,52,85,47,51,34,35,33,30,41,26,60,51,24,35,26,8,14,4,3,5,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,28,6,17,58,13,36,79,18,50,142,35,105,155,41,131,146,40,135,143,40,129,158,47,115,190,58,140,176,53,133,163,49,122,164,49,116,
161,46,108,163,45,135,147,41,127,130,36,89,91,25,48,66,20,54,79,23,71,80,34,70,93,78,69,76,94,49,54,74,38,40,31,29,10,1,6,16,26,4,48,81,19,58,95,22,
66,90,21,51,64,14,34,58,14,61,89,25,106,119,30,127,136,35,127,143,38,115,136,36,109,126,33,83,92,23,77,91,23,105,130,36,107,130,36,86,97,25,66,66,16,65,70,18,
70,88,24,90,108,30,108,115,32,106,108,31,100,104,30,95,101,29,96,100,28,104,107,31,104,107,32,91,94,28,78,79,23,77,77,21,87,87,24,85,85,23,72,72,19,70,70,18,
80,81,22,87,87,24,82,83,22,74,74,20,66,66,17,58,58,15,46,49,13,29,31,8,21,21,5,32,31,8,54,52,14,67,66,19,66,65,18,57,55,15,47,46,12,43,42,11,
44,44,11,47,47,12,46,46,12,45,46,11,44,44,11,47,46,12,51,49,14,56,54,16,55,53,15,51,47,14,45,41,12,39,36,10,32,29,8,22,20,6,11,11,3,9,8,2,
11,10,3,13,12,4,10,10,4,2,3,1,1,1,1,3,3,2,5,4,3,7,6,5,9,7,6,8,6,7,6,4,7,6,3,7,6,4,7,6,4,8,7,5,9,7,4,9,
5,3,9,3,1,7,3,1,6,2,1,4,2,1,3,1,1,3,1,3,3,0,5,3,0,6,4,1,7,6,5,9,13,9,12,21,11,13,24,12,14,25,14,15,28,17,17,32,
20,18,36,23,19,40,26,21,43,28,21,45,30,21,44,31,21,43,32,20,42,32,19,42,31,18,40,29,17,38,27,16,37,28,14,36,30,14,37,31,15,39,29,16,40,28,18,42,
35,22,51,40,26,58,39,27,61,38,26,60,33,21,52,24,12,36,22,7,23,17,4,17,25,7,27,38,13,47,41,15,56,47,20,64,57,28,78,60,36,89,57,40,95,51,38,94,
44,30,84,36,23,79,43,24,86,64,28,93,72,28,91,76,28,93,92,34,105,105,39,114,91,36,111,61,28,99,59,24,89,92,30,98,117,40,117,119,40,122,94,27,93,78,21,69,
87,25,73,88,26,74,88,27,83,116,36,109,140,44,127,142,45,115,146,48,115,148,48,127,136,43,126,123,36,113,103,29,96,107,32,99,139,43,111,159,54,125,170,61,140,152,48,128,
112,32,94,113,38,98,111,45,101,88,44,79,127,54,86,164,65,103,150,73,94,141,82,79,145,74,81,124,64,91,115,67,86,116,82,63,144,108,85,127,88,93,40,43,43,10,28,20,
58,36,40,115,65,57,91,59,50,30,40,30,40,47,27,68,51,24,54,23,14,34,7,11,4,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,18,4,11,52,12,34,64,14,40,124,30,88,157,40,129,131,36,130,145,42,142,162,48,127,186,56,141,182,55,140,159,48,125,166,50,130,165,47,111,
168,48,140,161,45,150,138,38,107,105,29,58,71,20,49,70,18,58,77,29,68,98,81,74,94,120,57,69,108,43,29,42,23,4,1,4,13,21,3,49,78,18,64,102,25,73,99,24,
56,71,16,40,63,14,69,101,25,110,127,32,128,136,36,126,142,38,118,137,36,111,129,35,92,108,28,85,102,27,105,129,35,105,127,35,85,96,24,67,69,17,62,69,18,68,89,23,
92,109,30,109,114,32,103,105,30,98,104,30,95,101,28,99,102,28,107,108,32,106,109,34,89,91,26,76,75,21,82,82,23,89,89,25,79,80,21,68,68,17,75,75,20,86,87,25,
86,86,24,77,77,21,67,67,18,61,63,16,51,53,14,31,34,8,21,22,5,31,30,7,53,51,13,67,65,18,68,67,19,58,57,16,47,47,12,44,44,11,46,46,11,48,49,13,
50,50,13,47,47,12,46,46,12,50,48,13,54,53,15,56,53,16,54,51,15,48,45,13,39,36,10,28,26,7,22,20,5,19,17,4,18,17,4,20,17,5,22,19,5,26,23,6,
30,26,8,31,28,8,28,25,7,26,23,9,29,26,17,33,30,22,35,30,23,35,31,24,35,29,24,31,27,23,26,21,22,20,16,20,19,17,22,20,18,25,24,19,30,25,20,32,
20,15,30,16,11,29,16,12,28,15,11,27,14,10,26,12,9,24,10,9,19,5,8,10,3,7,7,3,7,5,5,8,10,9,10,18,10,11,21,10,11,21,11,11,21,10,11,22,
10,12,22,11,13,24,14,14,28,17,16,33,22,18,39,25,20,42,28,20,44,29,20,44,30,19,42,29,17,37,29,17,37,29,16,38,28,15,37,27,14,36,30,14,37,31,15,38,
32,16,42,35,19,46,34,21,48,31,21,47,28,21,48,27,21,51,25,17,45,23,11,33,20,7,24,19,7,24,21,8,30,35,12,49,48,17,65,55,24,73,58,31,83,53,37,91,
45,36,91,45,30,89,40,24,82,38,23,83,53,26,90,64,25,89,70,25,88,88,32,101,101,37,111,85,33,107,53,26,93,51,19,78,81,25,82,110,37,110,116,39,119,91,27,90,
70,19,61,76,20,60,83,24,70,89,27,83,115,36,108,139,44,126,140,45,113,146,47,112,144,47,123,134,42,124,123,36,112,101,29,95,110,34,100,142,43,111,161,54,126,170,60,142,
144,46,121,101,33,83,122,45,97,118,49,102,93,47,80,138,59,91,168,75,106,160,92,98,152,90,82,139,70,84,136,68,100,137,76,91,136,93,72,147,108,90,104,75,80,26,35,32,
25,34,24,96,61,51,135,85,63,99,75,51,32,44,28,51,51,26,80,48,28,65,19,23,23,3,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,37,8,23,55,12,34,81,18,52,145,36,112,138,37,130,138,40,143,155,45,132,175,53,130,186,56,142,161,47,124,163,48,132,165,47,114,167,47,130,
169,49,160,157,54,142,121,36,80,75,20,47,66,18,55,78,24,67,93,70,74,100,122,57,82,126,43,47,75,29,3,5,4,9,14,2,46,72,17,63,101,24,76,104,25,71,93,22,
47,76,18,72,105,26,119,140,37,134,148,40,129,145,39,114,134,35,110,128,34,93,109,29,91,109,28,107,131,36,103,124,33,82,93,23,72,78,20,68,81,21,66,88,23,85,102,27,
98,103,28,101,103,29,97,103,30,96,101,29,101,104,29,107,110,33,104,106,33,87,88,26,77,76,22,87,86,25,87,87,24,73,73,19,69,68,18,82,82,23,91,91,28,86,87,26,
72,72,19,62,62,16,60,62,16,48,49,13,26,27,7,28,26,7,50,47,13,66,65,17,64,63,17,49,49,13,39,39,10,40,40,10,46,47,11,47,48,12,47,48,12,50,50,13,
51,51,14,52,50,14,52,50,14,50,47,14,45,42,12,39,36,10,29,27,7,22,20,5,19,17,4,20,18,5,23,21,6,27,24,7,31,28,8,35,31,10,39,35,11,40,38,11,
42,40,12,42,39,12,41,38,12,39,36,14,39,36,20,38,35,21,35,32,19,32,30,18,30,28,16,24,23,14,15,16,11,7,12,12,7,14,17,8,16,20,12,17,24,14,18,26,
13,18,28,13,18,28,14,18,29,14,19,29,15,18,31,17,19,33,17,18,31,14,16,27,12,15,24,11,14,22,10,12,19,9,12,18,8,11,18,9,11,18,9,11,18,10,11,20,
10,11,21,11,11,22,10,11,21,10,11,21,11,12,22,13,13,25,18,15,32,21,17,38,22,18,39,20,16,34,20,14,29,24,13,31,28,14,35,29,15,38,28,15,38,26,14,35,
28,14,34,31,15,38,32,16,42,31,17,41,30,16,40,28,18,43,26,20,46,21,18,42,20,14,39,24,12,42,23,9,33,19,7,27,29,11,42,45,16,61,52,20,69,54,26,78,
45,31,85,43,35,92,46,35,94,43,27,86,37,23,82,47,25,88,63,25,89,69,25,87,80,29,95,88,32,103,78,30,101,48,21,81,41,14,58,66,18,66,98,31,99,108,36,113,
84,25,83,63,17,55,75,20,59,83,24,68,86,26,80,113,35,107,136,43,123,134,41,102,141,44,102,145,46,123,132,41,122,121,35,110,100,29,93,113,34,99,144,44,113,163,55,131,
170,60,141,139,45,117,117,40,88,143,53,105,117,52,102,95,52,80,149,65,96,172,82,109,161,95,95,150,86,80,146,71,90,152,74,107,147,81,89,139,98,74,145,107,95,102,63,72,
42,32,24,52,40,33,121,76,61,143,95,67,78,68,46,26,38,22,68,52,32,85,44,37,65,21,23,13,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,5,1,3,33,7,21,48,10,27,117,28,82,144,38,127,135,38,139,151,45,140,155,46,118,176,53,131,166,48,126,157,45,125,167,48,120,166,46,117,169,45,156,
157,61,149,138,77,111,87,35,60,47,13,43,62,17,53,90,58,77,104,116,68,88,129,46,54,87,30,20,15,13,26,12,15,46,63,18,60,99,23,71,101,24,77,99,24,61,93,22,
76,110,27,117,140,37,137,151,41,131,147,40,117,137,37,108,126,33,89,106,27,90,109,29,107,131,36,103,123,33,83,93,23,71,77,19,68,82,21,68,92,24,84,101,26,92,98,26,
94,98,28,96,102,29,96,102,29,104,109,32,109,113,35,97,99,31,78,79,23,79,78,22,89,89,25,84,84,23,66,66,17,67,66,18,83,82,24,88,88,27,82,83,25,71,72,19,
62,64,16,55,57,15,34,36,10,22,21,5,40,38,10,62,60,16,66,64,17,51,51,13,33,33,8,28,29,6,32,33,8,40,40,10,44,44,11,43,43,11,48,46,13,53,50,14,
52,49,14,47,44,13,38,35,10,29,27,7,21,20,5,19,18,4,20,18,5,24,21,6,29,25,8,34,30,9,37,34,10,40,37,11,41,38,11,42,40,12,42,39,12,38,36,11,
35,33,10,32,29,8,29,26,7,26,24,7,24,23,9,18,18,7,12,14,6,11,12,8,10,11,10,9,8,10,6,5,9,4,3,9,4,5,11,5,7,13,5,8,14,6,9,15,
7,12,19,8,15,22,8,16,22,8,17,22,9,17,23,13,19,28,16,20,31,17,20,32,17,20,32,16,20,32,16,19,31,15,19,30,14,17,29,13,16,26,11,14,22,10,13,19,
7,12,15,6,11,15,8,12,17,10,12,21,11,12,22,10,11,21,10,11,21,11,12,21,11,12,23,11,11,24,12,11,24,13,11,25,15,10,22,20,11,24,27,14,33,29,14,36,
22,10,27,19,8,22,26,11,30,31,14,39,32,16,42,31,16,41,28,16,38,22,14,33,16,14,33,18,16,43,24,15,49,25,13,41,19,8,28,23,9,33,39,14,54,49,17,66,
43,20,70,43,28,82,44,35,93,45,35,96,42,30,87,36,22,80,43,24,86,60,25,87,65,24,84,71,26,90,83,30,99,81,28,98,50,20,76,38,13,54,56,15,57,85,27,88,
101,32,107,83,24,83,63,16,54,59,16,46,58,16,46,76,22,69,117,36,109,131,40,115,129,39,92,142,45,104,144,45,124,132,41,123,120,34,110,97,28,92,114,35,99,148,45,113,
166,56,134,167,58,140,143,45,115,136,48,96,144,59,110,103,52,95,104,56,82,157,69,102,170,85,107,156,94,87,150,83,82,145,70,96,152,74,107,148,88,83,149,109,81,159,99,100,
104,52,59,42,30,23,69,48,41,139,88,68,130,90,63,50,48,33,31,33,19,84,56,34,101,56,38,47,15,18,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,19,4,12,43,9,26,88,21,57,145,36,119,135,38,136,147,43,145,148,44,117,162,48,118,166,49,125,154,44,123,164,47,124,165,46,111,170,46,150,162,53,155,
147,82,128,99,59,69,53,19,46,47,11,42,82,42,73,119,111,96,107,135,73,66,102,42,20,26,12,41,9,27,75,66,47,66,102,31,70,103,25,79,102,24,61,92,22,72,108,26,
114,138,36,134,150,40,124,143,39,108,132,34,107,126,33,88,106,27,88,108,28,107,131,36,103,124,33,83,93,23,70,77,19,65,80,20,68,91,24,86,102,26,91,96,26,94,97,28,
96,103,29,91,98,26,99,106,31,109,114,35,91,93,28,67,66,18,78,78,22,91,90,26,80,80,22,64,62,17,69,68,19,80,80,23,81,83,24,70,72,20,62,63,17,59,61,15,
45,47,12,21,22,6,19,19,4,44,43,11,61,60,16,52,52,14,36,36,9,28,28,6,32,32,8,36,36,8,38,38,9,39,39,10,42,40,10,46,43,12,49,46,14,45,41,12,
35,31,9,24,23,6,19,18,4,20,18,5,23,19,6,26,22,6,32,28,8,37,34,10,41,39,12,42,40,11,41,39,11,39,38,11,37,35,11,34,33,10,31,29,8,25,24,6,
22,21,5,21,21,5,20,19,5,18,18,5,16,16,4,10,9,3,6,4,2,10,5,8,13,7,15,13,5,16,13,5,16,14,7,16,15,8,16,15,8,16,13,7,16,12,7,16,
14,8,17,14,9,18,13,9,18,13,11,21,13,12,23,14,13,26,15,15,27,15,16,28,15,17,29,14,18,28,14,18,28,14,19,29,15,20,31,16,21,31,15,18,28,13,14,24,
8,12,17,3,10,9,2,10,7,4,10,9,6,11,12,8,12,17,10,12,21,11,13,23,11,12,21,9,10,18,8,7,16,7,6,15,3,4,8,2,3,3,8,5,9,18,9,20,
23,8,24,21,7,23,19,6,19,20,8,22,27,12,32,32,15,40,32,16,42,26,12,33,19,8,22,14,9,25,16,14,38,22,18,51,25,15,49,22,9,34,19,8,26,33,12,46,
47,19,66,46,25,75,43,27,82,38,31,88,35,32,91,38,26,86,36,21,78,38,21,76,56,23,82,64,24,83,62,25,84,77,28,95,82,30,99,53,21,78,37,13,56,51,14,53,
80,24,82,98,31,105,81,24,80,47,13,41,27,8,17,44,12,35,93,26,84,122,38,113,129,40,113,125,37,87,138,43,100,140,44,122,131,41,122,115,33,107,86,25,82,108,32,87,
150,46,116,166,57,134,164,56,138,140,47,112,140,56,99,143,61,111,95,53,88,115,58,84,165,73,105,167,90,103,156,94,86,149,81,84,148,69,102,152,76,101,141,93,76,163,116,97,
159,88,102,89,43,49,38,31,22,96,59,50,145,88,66,108,76,53,27,29,19,49,34,21,103,65,43,94,45,36,29,10,11,2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,9,2,4,27,6,14,61,13,36,141,34,108,139,37,131,138,41,146,139,41,126,146,43,108,168,49,125,157,45,124,157,44,122,162,46,107,169,47,137,166,48,160,156,78,140,
121,73,95,68,25,59,39,8,37,69,26,54,130,98,107,135,140,107,88,117,64,26,38,15,32,6,19,79,62,54,81,120,69,76,122,57,79,105,30,62,91,22,66,101,24,107,133,35,
135,150,41,121,141,38,87,118,30,86,113,28,83,102,26,87,106,27,106,130,35,102,124,33,89,101,26,75,86,21,58,73,17,57,80,20,84,99,26,92,97,26,94,99,28,94,102,28,
90,97,26,96,103,29,103,108,33,82,85,26,52,51,14,71,69,19,90,90,25,84,83,23,69,66,18,75,72,21,80,80,24,75,77,22,63,65,18,49,53,13,42,47,11,30,31,8,
17,17,4,29,29,7,50,50,13,52,52,13,38,38,9,29,29,7,31,31,8,36,36,9,38,38,9,37,37,9,38,37,9,44,42,12,48,44,12,42,38,11,30,28,8,18,17,5,
16,15,4,21,19,5,26,21,6,28,23,7,31,27,8,34,31,9,38,36,11,39,38,11,39,37,11,37,34,10,33,31,9,29,28,8,27,26,7,25,25,6,24,24,6,24,24,6,
25,25,6,27,24,7,26,23,7,24,21,6,25,21,7,26,21,7,26,21,7,27,22,10,25,20,14,22,18,13,21,16,12,21,17,12,21,17,13,18,14,14,12,9,13,10,7,11,
11,7,11,11,7,12,11,8,12,11,8,17,11,9,21,12,11,22,13,11,23,14,11,24,13,12,24,12,12,22,9,12,19,9,12,20,10,14,21,11,15,23,12,17,26,14,17,27,
16,16,27,14,14,22,10,11,17,6,9,10,3,9,7,3,9,6,4,10,9,6,12,13,9,13,19,11,13,22,11,11,22,9,8,19,5,4,10,0,1,2,0,0,0,1,1,1,
8,3,8,17,6,18,23,7,23,18,6,19,11,4,13,20,7,22,28,12,33,27,12,32,22,8,24,20,5,19,16,6,21,12,10,27,10,11,35,18,12,46,20,10,37,9,6,21,
25,11,38,46,22,67,49,26,76,34,24,75,24,24,80,25,24,87,35,24,86,35,20,75,35,19,70,50,22,79,49,20,75,46,19,74,73,27,93,80,29,97,45,19,74,37,14,57,
50,13,53,65,19,71,86,27,90,76,23,72,32,9,27,10,3,8,58,16,52,104,30,95,125,38,115,121,37,103,112,32,75,131,40,98,137,43,121,131,40,121,101,29,94,64,17,55,
112,31,85,154,48,118,166,58,134,157,55,132,134,50,102,146,61,102,136,61,112,89,52,84,130,62,89,172,80,109,170,103,101,162,107,87,148,77,87,148,67,103,149,80,96,145,102,81,
170,114,107,150,75,92,78,40,38,59,44,29,125,74,56,148,93,64,77,56,40,19,18,11,79,50,32,123,69,50,94,46,33,54,35,13,9,9,2,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
3,1,1,30,6,18,54,12,33,112,26,79,143,36,123,136,40,142,132,40,137,120,36,102,155,45,123,166,48,139,155,45,130,154,45,105,160,45,117,165,44,155,164,68,153,155,89,132,
103,48,95,54,13,60,58,18,48,121,86,93,146,141,110,107,131,76,45,60,31,31,8,22,74,54,48,94,132,75,87,147,91,95,137,83,72,102,33,65,99,22,101,129,33,133,149,40,
125,144,38,90,120,30,81,111,28,73,96,23,73,91,22,100,123,33,104,125,33,89,102,26,80,91,23,60,75,19,52,73,17,79,93,24,89,95,25,93,97,27,94,101,28,88,96,26,
92,98,28,101,105,32,77,80,24,46,45,12,63,62,17,81,81,22,79,79,21,74,72,20,79,77,23,80,81,24,68,70,20,53,55,15,44,49,12,34,40,10,17,18,5,12,12,3,
37,37,9,55,55,14,44,44,11,30,30,7,30,30,7,36,36,9,37,37,9,35,35,8,35,34,9,34,33,8,38,35,10,41,38,10,34,32,9,17,16,4,3,3,1,5,5,2,
18,15,5,26,21,6,30,26,8,31,29,8,34,32,9,32,31,8,29,27,8,28,27,7,27,26,7,26,25,6,25,24,6,25,24,6,26,25,6,28,26,7,29,27,8,31,29,8,
32,30,9,32,31,10,33,30,11,31,29,12,31,29,13,31,29,14,30,28,16,29,26,17,25,24,18,22,21,17,20,20,17,22,22,18,24,23,22,21,20,24,17,17,23,14,14,19,
15,14,20,15,16,22,14,16,22,14,15,22,14,16,22,13,15,21,12,14,21,12,12,20,11,11,19,11,10,19,9,10,18,8,9,17,9,9,17,8,10,17,9,11,18,11,12,19,
17,14,25,22,17,29,21,15,28,18,12,24,14,10,20,9,10,15,5,9,9,1,8,6,2,9,6,5,11,10,7,12,15,10,12,21,10,10,20,3,5,8,0,1,1,0,0,0,
0,0,0,2,0,1,9,3,8,13,4,13,3,1,5,3,2,9,12,5,19,21,7,24,25,8,26,23,8,23,20,6,20,15,4,15,5,2,6,4,5,19,10,10,41,10,11,44,
6,6,27,17,7,29,42,18,59,47,24,74,29,21,70,19,20,74,23,23,85,34,24,87,34,20,75,27,17,67,42,20,72,41,18,66,43,17,67,68,23,83,66,24,84,38,18,68,
36,14,57,42,11,46,57,16,55,86,26,83,76,23,71,27,8,26,15,5,18,65,18,61,107,31,98,123,37,114,106,31,88,99,28,63,130,39,98,136,42,120,128,39,119,88,25,82,
68,17,56,120,34,91,150,47,111,159,54,123,148,53,121,131,51,95,148,63,106,123,58,105,98,55,82,154,70,99,176,91,111,175,118,99,165,105,85,148,68,93,150,69,106,148,87,85,
155,112,88,180,110,113,147,69,80,83,54,35,88,68,38,158,103,65,137,91,62,42,34,27,34,24,16,122,68,50,140,72,55,98,55,34,36,27,8,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
12,3,7,34,8,19,83,19,54,147,36,116,136,38,134,137,41,145,116,34,111,136,39,109,167,49,144,171,48,154,161,59,131,152,55,103,153,40,137,155,53,147,165,88,143,138,78,125,
89,46,100,56,18,55,103,64,74,155,150,115,130,153,91,66,86,44,44,20,36,86,60,72,99,130,83,93,156,90,97,144,90,77,111,49,61,96,22,92,122,30,129,147,39,128,145,39,
97,125,32,86,119,30,86,115,29,75,95,23,89,109,27,99,121,32,90,103,26,79,91,23,60,75,18,51,73,17,79,94,23,89,94,25,89,94,25,91,99,27,88,96,26,88,95,27,
91,97,28,75,81,24,51,54,15,65,64,18,79,79,21,71,71,18,66,63,18,71,70,20,74,75,23,63,65,19,50,52,14,42,48,11,28,32,8,13,13,4,18,18,4,35,35,9,
42,42,10,29,29,7,21,21,5,31,31,8,40,39,10,35,35,9,25,24,6,27,25,7,33,31,8,31,29,8,22,21,5,13,12,3,4,4,1,0,0,0,0,0,0,3,3,1,
21,19,5,33,31,9,35,33,9,29,28,7,25,24,6,23,23,6,23,22,6,24,24,6,26,26,7,29,27,7,29,28,8,30,28,8,31,30,9,32,31,10,33,31,13,32,30,14,
32,30,16,31,29,16,30,28,16,28,26,15,27,25,14,24,23,14,20,21,16,15,17,15,12,14,13,9,12,12,8,11,11,10,13,11,12,14,15,14,14,19,14,13,19,13,13,19,
14,14,20,14,16,21,15,17,23,16,18,23,16,19,24,18,20,25,19,21,25,18,19,24,16,17,23,16,17,23,15,16,22,13,14,21,11,12,20,9,11,19,9,10,17,9,10,17,
11,10,19,14,11,21,16,11,22,19,11,24,21,11,25,20,11,26,16,11,22,8,8,13,3,7,5,1,7,3,1,8,4,4,9,8,5,11,11,3,9,7,1,5,3,1,3,2,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,4,3,3,12,8,4,18,17,6,21,20,6,21,11,5,17,13,6,23,17,6,20,9,2,6,3,3,13,10,10,42,
13,13,53,7,8,33,12,6,24,36,15,53,49,24,72,33,22,70,19,19,72,22,23,85,28,24,88,18,18,71,21,14,57,38,16,60,40,16,59,41,15,61,54,17,67,48,18,67,
27,13,52,36,12,50,41,11,45,55,15,53,77,24,74,63,19,59,22,7,23,18,6,22,71,20,65,109,32,100,115,34,106,93,27,73,102,29,64,131,39,102,131,40,120,124,37,116,
78,22,72,74,19,59,122,35,85,141,43,96,155,55,117,141,53,112,135,54,96,149,64,111,120,65,101,126,73,88,160,75,100,176,100,105,180,122,94,152,90,81,136,62,95,149,73,100,
144,93,80,169,116,103,186,101,115,141,77,70,80,67,31,127,89,53,165,108,69,106,71,52,21,22,15,68,41,32,141,73,62,128,61,52,76,46,25,24,21,5,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
7,2,4,28,6,15,111,26,81,138,36,125,138,42,147,125,37,127,121,35,100,159,47,133,171,49,156,166,53,148,157,72,116,153,55,126,146,41,137,162,78,145,157,89,141,120,81,133,
71,58,92,83,45,61,149,133,110,152,170,110,94,128,59,54,36,45,85,51,78,116,138,111,98,159,101,97,150,96,88,126,70,62,99,28,79,113,27,114,138,36,127,145,39,101,128,33,
87,120,30,95,126,33,85,112,28,90,110,28,96,119,30,81,97,24,74,86,21,62,77,18,50,72,17,77,93,23,85,90,23,71,79,20,77,86,23,85,93,24,87,94,26,87,93,27,
69,77,22,54,60,16,70,70,19,80,80,21,73,73,19,64,62,17,63,62,19,65,68,20,56,58,16,44,45,11,36,40,9,23,25,6,13,12,3,25,25,6,41,41,10,32,32,8,
10,10,2,2,2,1,19,18,5,33,33,9,28,28,7,11,11,3,16,14,4,29,27,7,23,23,6,9,9,3,0,1,0,0,0,0,0,0,0,2,2,0,11,11,3,24,23,6,
31,30,8,28,26,7,19,18,4,17,17,4,23,23,6,26,25,6,28,27,7,30,28,8,32,31,9,32,31,9,32,30,9,30,28,8,30,28,9,30,28,14,28,26,15,25,24,13,
21,20,11,17,17,9,13,13,7,9,10,5,6,7,3,3,4,2,1,4,2,0,2,2,0,2,1,0,2,1,0,1,0,0,1,0,0,2,2,1,3,5,1,4,5,1,4,6,
2,4,6,2,5,6,3,5,7,4,6,8,4,6,9,5,8,11,8,9,13,9,10,15,11,11,16,13,13,18,15,16,21,16,17,22,14,15,23,10,14,21,7,12,17,5,11,13,
6,10,14,8,10,16,9,10,18,11,10,19,13,10,19,14,11,19,17,10,20,16,9,18,13,7,13,8,6,9,3,5,4,1,5,3,1,6,3,2,8,5,2,8,5,2,7,4,
1,4,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,8,4,4,15,8,4,16,5,2,8,2,3,11,11,6,23,18,7,24,15,6,19,7,5,22,
10,11,42,13,14,53,9,11,41,11,9,32,33,14,49,48,23,70,36,23,69,21,22,74,23,27,87,24,25,89,16,17,66,16,9,40,36,14,53,41,17,61,33,13,55,38,13,52,
37,12,46,23,8,32,36,11,46,39,11,42,42,12,39,62,18,57,59,16,55,18,6,20,23,7,25,74,21,68,98,29,91,99,29,90,87,25,62,102,28,65,121,35,99,124,37,114,
116,35,109,67,18,62,74,20,53,109,30,63,137,43,88,154,58,119,137,53,106,140,57,98,147,70,114,123,77,99,132,72,81,161,77,89,178,110,98,163,112,85,125,70,75,140,62,98,
149,77,93,148,103,83,184,125,113,180,100,105,116,71,51,88,72,38,152,101,64,152,100,65,70,53,38,31,27,17,108,63,51,147,75,65,113,59,44,73,57,20,15,15,3,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,63,14,42,130,32,110,133,39,138,136,41,142,109,32,102,135,39,115,167,49,152,169,50,156,161,69,125,153,61,117,149,51,144,158,77,147,164,91,145,143,85,150,98,77,125,
78,47,78,135,105,99,159,168,119,117,150,76,58,59,38,75,36,67,113,120,109,104,163,110,95,153,98,93,137,90,73,121,69,78,117,39,105,132,32,114,137,36,100,128,33,86,120,30,
95,127,33,88,117,30,92,114,29,97,119,31,81,99,24,54,69,16,46,64,15,47,69,16,75,92,23,84,91,23,69,77,20,56,69,17,66,77,19,85,92,25,88,93,27,65,74,21,
47,55,14,64,64,17,76,76,21,67,65,18,59,56,16,57,57,17,63,65,20,55,57,16,41,40,10,27,27,7,15,15,4,14,13,4,31,30,8,40,39,10,25,25,6,3,3,1,
1,1,0,11,11,3,20,20,5,14,14,3,6,6,2,10,10,3,17,17,4,12,12,3,2,2,0,0,0,0,0,0,0,1,1,0,10,10,3,22,22,6,30,29,8,27,25,7,
17,16,5,11,10,3,14,12,3,21,19,5,27,25,7,29,27,8,31,28,8,30,28,8,30,28,9,28,26,8,25,22,7,21,18,5,18,17,4,14,14,6,9,10,5,4,6,3,
1,3,2,0,1,1,0,0,0,0,0,0,1,0,0,2,0,1,4,1,1,6,2,2,7,3,2,7,3,2,9,4,3,10,6,7,11,8,8,10,8,8,7,7,8,5,7,8,
4,6,7,4,6,6,3,5,6,2,5,5,2,4,4,1,4,3,1,3,3,1,3,3,1,2,3,2,3,5,3,4,6,5,5,10,7,7,12,6,8,13,4,8,10,3,8,9,
4,10,10,4,10,11,4,8,9,6,9,11,6,9,11,4,9,8,6,8,9,11,8,12,14,9,15,16,8,17,14,6,14,8,3,8,3,1,3,1,3,2,1,5,2,1,6,3,
1,5,3,1,4,2,1,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,2,3,13,3,3,13,1,2,5,1,2,6,7,5,20,19,8,33,20,10,37,
12,9,34,9,9,38,14,15,55,14,17,57,12,13,42,27,11,41,46,21,62,39,25,72,23,26,78,24,28,87,23,25,87,13,13,53,14,8,33,36,14,53,41,17,61,30,13,52,
35,11,42,27,8,26,17,6,24,38,12,49,35,10,38,35,10,31,62,17,57,54,15,51,15,5,18,27,8,29,63,17,58,85,23,77,93,26,82,84,23,56,97,27,61,115,33,95,
122,37,113,102,31,98,47,14,44,56,14,29,98,26,52,133,43,93,147,55,117,132,51,100,136,60,101,137,72,112,118,74,89,139,69,80,168,85,91,172,114,93,140,95,74,122,60,79,
151,71,104,146,86,86,161,122,93,194,130,119,164,89,87,92,65,38,110,83,48,166,109,69,139,97,62,70,57,28,67,48,27,132,75,64,135,68,57,105,68,37,59,50,14,7,7,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
24,5,13,106,25,79,123,33,120,139,43,146,122,36,120,113,33,102,146,42,138,164,46,156,163,57,139,154,74,109,155,60,137,161,99,161,167,112,157,152,88,150,118,83,142,82,51,97,
127,80,105,170,162,135,136,163,93,71,89,45,60,25,52,106,94,97,108,158,113,94,157,99,96,142,94,82,131,81,80,130,62,99,130,39,112,135,34,95,121,30,80,113,28,93,126,33,
91,119,31,89,111,28,97,120,31,85,103,27,55,71,17,39,58,13,38,61,14,63,82,20,77,84,21,66,72,18,55,68,17,57,69,17,81,88,24,88,93,27,66,76,22,44,51,14,
52,53,13,63,63,17,54,52,14,41,38,11,42,43,14,53,57,17,53,54,15,42,41,11,28,27,7,12,11,3,17,16,4,31,30,8,31,28,8,16,13,4,1,1,0,3,3,1,
15,15,4,17,17,4,8,8,2,7,7,1,14,14,4,13,13,3,4,4,1,0,0,0,0,0,0,0,0,0,8,8,2,18,18,4,21,22,6,20,19,5,15,13,4,6,6,2,
5,5,1,17,14,4,26,23,7,27,24,7,24,22,6,23,21,6,23,21,6,21,19,6,19,17,5,14,13,4,8,7,2,4,4,1,1,1,0,0,1,1,0,1,1,3,1,1,
6,3,1,8,4,2,10,4,3,13,5,3,15,7,4,16,9,4,17,10,5,18,13,7,19,12,8,19,13,8,19,13,10,20,14,14,20,15,15,19,15,15,17,14,15,13,11,14,
12,10,13,11,10,13,11,10,13,10,10,13,9,10,12,8,10,12,8,9,10,7,8,10,5,7,9,4,6,7,2,5,5,1,3,2,1,2,1,1,2,2,0,1,1,0,0,0,
1,3,2,1,4,4,1,4,2,1,5,3,2,6,4,2,6,5,2,7,4,3,7,4,5,8,7,9,9,11,14,9,14,16,8,16,14,5,15,9,2,8,3,1,3,1,1,1,
0,1,1,0,2,1,1,3,2,1,3,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,9,4,4,15,2,2,8,0,1,4,5,4,19,18,11,40,
24,12,45,14,9,36,9,8,36,14,14,55,16,21,65,13,15,46,24,9,36,45,19,59,40,24,70,22,23,71,22,27,85,22,22,81,11,12,49,13,7,32,35,13,51,36,14,49,
24,10,42,16,6,26,4,1,4,15,5,20,40,12,49,33,10,36,37,10,32,65,17,59,49,14,47,12,4,16,30,9,32,66,18,60,89,25,80,93,27,80,84,22,51,101,27,67,
108,31,93,111,33,104,79,24,77,29,8,24,47,12,22,81,25,51,129,46,97,138,53,108,125,52,93,140,64,107,137,82,110,125,78,85,150,71,83,171,96,93,162,113,87,132,83,69,
146,79,95,158,84,103,148,103,82,183,144,107,188,115,112,133,74,63,83,68,34,138,95,60,166,111,69,128,88,49,63,50,19,94,59,43,145,76,66,121,64,50,101,76,32,55,48,12,
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
49,11,31,110,28,96,134,39,141,132,40,137,97,29,90,126,37,118,156,44,153,165,50,151,157,70,113,153,60,121,158,85,157,167,133,167,160,120,157,137,98,150,88,66,112,107,56,96,
176,149,151,165,178,134,96,132,73,56,43,51,97,70,86,114,148,115,95,162,103,91,144,93,88,134,85,82,134,70,101,138,49,112,136,35,98,121,31,66,91,21,81,112,28,91,121,32,
88,110,28,90,110,28,87,105,27,59,74,18,40,57,14,32,54,12,50,74,17,62,73,18,51,53,12,44,51,12,45,59,14,69,79,21,88,93,27,69,77,22,43,51,13,50,50,13,
58,57,15,46,45,12,34,30,9,33,35,11,42,46,14,48,49,14,41,40,11,27,26,6,11,11,3,10,9,2,25,24,6,25,21,7,10,5,3,1,0,1,4,3,1,9,9,2,
12,12,3,6,6,2,10,10,3,15,15,4,7,7,2,1,1,0,0,0,0,0,0,0,5,5,1,16,16,4,22,22,5,15,15,4,5,5,1,0,0,0,2,2,0,6,6,1,
15,13,3,22,20,5,22,20,5,14,13,4,8,8,2,8,7,2,9,8,2,8,7,2,3,3,1,2,2,0,2,2,1,1,1,0,3,2,0,9,5,3,14,9,4,18,13,5,
20,15,5,20,14,5,19,14,6,20,15,7,21,17,8,20,17,11,21,18,14,20,20,16,20,19,17,19,17,17,17,15,17,16,14,18,16,14,18,15,14,17,13,13,17,11,11,16,
9,8,14,9,8,14,9,9,14,9,9,13,9,10,13,11,10,13,13,10,12,13,9,10,12,9,10,10,9,11,10,9,11,7,7,7,2,3,2,0,2,1,0,2,1,0,2,1,
0,2,1,0,1,0,0,0,0,0,1,0,0,1,1,1,2,1,1,4,3,1,6,3,2,7,4,2,7,4,4,8,6,8,8,9,14,9,14,16,8,16,14,5,14,9,2,8,
2,0,2,0,0,0,0,1,0,1,2,1,1,3,2,1,3,2,1,1,1,1,1,3,0,0,1,0,0,0,0,0,0,1,1,5,4,4,14,3,3,11,1,1,3,4,3,14,
15,9,36,21,12,43,10,9,34,8,8,34,14,14,53,17,21,67,12,16,48,21,8,34,43,17,55,39,22,63,21,21,67,20,25,79,20,21,77,11,11,47,12,5,24,25,8,28,
15,6,23,2,2,11,0,0,0,0,0,0,18,6,23,42,12,51,31,9,32,42,10,36,61,17,56,37,11,37,12,4,16,39,12,39,73,20,66,91,25,82,84,24,68,82,22,48,
95,26,65,93,26,81,88,26,85,54,15,54,23,6,15,40,17,22,86,35,61,126,48,93,125,49,94,130,58,95,148,81,114,144,104,105,134,81,79,159,76,86,172,108,96,158,113,81,
146,94,79,163,93,109,155,88,94,160,127,86,185,138,98,165,89,80,104,68,44,100,83,43,161,109,67,157,104,66,94,66,34,65,49,22,125,69,58,139,68,61,126,83,48,100,82,30,
23,21,5,8,8,2,6,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,1,2,
74,17,56,120,34,123,144,44,150,94,28,97,85,25,82,144,42,141,160,45,154,155,61,124,150,64,106,156,62,148,169,124,172,167,143,167,152,129,157,120,108,143,91,52,94,156,116,132,
181,185,162,129,169,118,69,92,83,87,74,83,125,146,115,109,166,109,91,151,95,75,129,85,79,132,74,91,134,52,108,134,36,105,129,33,69,92,22,69,92,22,86,117,29,87,111,28,
89,108,28,81,97,24,62,76,19,41,58,14,34,55,13,35,63,15,37,54,13,26,28,6,25,25,6,33,40,9,58,70,18,81,88,25,69,77,22,39,47,13,45,45,11,58,57,14,
48,46,12,33,29,9,33,35,11,33,37,12,31,32,9,35,34,9,22,21,5,8,7,2,7,7,2,9,6,3,12,7,4,7,3,2,2,1,1,5,5,2,7,6,2,4,4,1,
5,5,2,13,13,4,13,13,3,4,4,1,0,0,0,0,0,0,0,0,0,8,8,2,20,20,5,18,18,5,7,7,2,0,0,0,0,0,0,5,5,1,12,11,3,16,13,4,
14,13,4,10,9,2,4,4,1,0,0,0,0,0,0,0,0,0,1,1,0,2,2,1,5,5,2,9,8,2,11,10,3,11,10,3,14,11,3,19,15,5,20,17,5,21,19,8,
21,19,10,20,19,12,18,17,13,18,17,13,17,16,13,16,16,15,16,15,16,15,14,16,13,14,16,10,11,15,8,9,15,9,8,16,10,9,16,9,9,16,9,8,15,8,8,15,
8,7,14,8,7,14,8,7,15,8,6,14,9,7,14,10,6,12,12,6,11,13,6,9,14,5,8,14,5,8,14,7,8,13,7,7,10,6,4,6,4,3,3,4,3,3,4,2,
2,5,2,2,4,2,1,3,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,2,1,1,3,2,1,5,3,1,5,3,3,6,4,7,7,8,13,8,13,16,8,16,
12,5,13,3,1,4,0,0,0,0,0,0,0,1,1,0,2,1,1,1,1,2,2,7,3,3,11,2,2,4,0,0,0,0,0,0,1,1,3,3,3,11,3,3,13,2,2,7,
4,5,19,9,9,34,9,9,37,7,7,32,7,7,32,13,13,51,17,20,67,13,16,50,20,9,32,38,15,50,31,20,58,16,21,61,20,25,78,18,19,71,7,7,34,3,1,6,
1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,23,7,30,41,12,48,25,7,25,22,6,21,43,11,39,27,8,27,12,4,15,50,14,47,74,21,68,74,20,66,73,19,50,
82,22,45,84,23,61,76,22,69,79,22,75,40,11,40,26,10,15,53,26,34,96,39,66,124,49,91,125,55,94,135,67,101,151,98,112,129,97,80,143,75,79,167,87,92,173,121,93,
160,117,78,155,98,94,158,84,107,151,98,85,170,139,86,180,119,87,145,80,66,106,88,40,144,112,58,167,111,70,135,90,56,73,56,22,98,67,39,146,77,65,126,67,54,124,94,46,
75,64,20,37,30,8,24,18,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,28,6,16,
98,25,92,139,41,147,124,37,127,75,23,74,116,34,115,155,43,152,147,47,134,141,65,98,151,57,130,166,96,170,172,146,175,158,141,159,144,139,156,103,84,117,129,78,109,182,172,160,
155,186,147,87,137,110,78,90,99,125,133,114,126,174,123,104,163,101,83,137,90,73,127,78,87,136,61,103,132,37,102,124,30,71,92,22,59,81,19,81,111,27,83,111,28,86,107,27,
82,99,25,65,78,19,46,63,15,35,56,13,40,68,16,39,65,16,11,15,4,0,0,0,16,21,4,47,59,14,80,86,23,71,79,21,36,44,11,25,26,7,45,44,11,47,45,12,
33,29,8,32,33,11,33,38,12,28,28,8,28,26,7,19,18,4,3,3,0,6,4,1,11,6,3,10,3,2,7,1,1,4,2,1,6,6,2,7,6,2,5,5,1,9,9,2,
15,15,4,9,9,3,1,1,0,0,0,0,0,0,0,3,3,1,10,10,2,13,13,4,9,9,3,1,1,1,0,0,0,4,4,1,11,10,3,15,14,4,14,12,3,8,7,2,
3,2,1,0,0,0,0,0,0,0,0,0,1,1,0,4,4,1,8,7,2,11,11,3,13,12,3,14,13,4,15,15,4,16,15,4,16,15,4,17,16,6,16,15,8,16,15,10,
14,14,12,12,12,10,9,10,9,7,9,8,6,8,9,6,8,11,6,8,12,5,9,12,5,9,12,5,8,12,5,9,12,6,9,12,6,9,12,5,9,13,5,9,13,5,9,13,
6,9,13,8,8,12,8,7,11,7,5,9,7,4,9,6,4,8,6,3,8,7,3,8,8,4,10,9,4,10,11,4,9,11,5,6,12,6,5,13,6,5,13,6,5,11,6,5,
8,6,4,5,6,4,4,5,4,2,5,2,2,4,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,3,2,1,4,2,2,5,3,8,7,8,
11,7,11,5,5,5,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,8,3,3,13,2,2,6,0,0,0,0,0,0,0,0,1,2,2,9,5,5,19,
6,9,24,7,10,29,9,10,38,9,9,37,7,7,33,7,7,31,13,13,50,19,22,69,14,18,52,13,7,27,20,11,37,19,18,50,16,20,62,19,23,74,14,15,58,5,5,26,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,3,22,7,33,18,7,30,0,1,3,15,4,12,25,7,24,6,3,9,19,6,20,55,16,52,66,18,60,67,18,57,
70,19,45,66,18,40,61,16,51,69,19,64,67,19,65,28,8,25,33,15,18,64,30,43,110,44,77,123,53,92,120,57,88,136,74,98,129,98,80,125,86,70,155,74,85,173,103,94,
169,123,88,153,104,77,159,91,101,156,84,99,153,116,80,177,138,88,173,105,82,145,101,59,131,114,48,164,122,67,165,112,70,106,73,41,86,69,25,135,87,59,139,71,62,137,89,55,
134,110,44,69,57,17,43,33,12,10,8,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,1,3,55,12,45,
118,34,125,142,43,149,91,28,93,87,26,84,147,41,145,151,42,147,127,56,105,133,58,107,160,73,160,172,131,177,165,143,166,152,141,158,124,127,147,110,73,109,169,142,146,172,189,161,
113,162,126,71,106,108,118,127,123,148,174,146,124,173,122,94,149,98,74,127,81,83,135,69,101,136,43,103,124,30,70,81,19,45,58,13,77,104,26,80,110,28,67,95,23,75,100,24,
67,82,20,46,62,15,28,43,10,29,52,12,41,69,17,21,32,8,0,0,0,6,10,2,30,44,10,65,75,20,72,81,23,40,49,13,20,21,6,32,32,7,44,42,11,33,30,9,
31,32,10,32,37,12,26,25,8,26,25,6,19,18,4,5,5,1,5,5,1,10,5,3,12,3,3,9,2,2,8,3,1,10,7,2,8,6,2,7,6,2,12,12,3,15,15,4,
6,6,2,0,0,0,0,0,0,0,0,0,6,6,2,12,12,3,9,9,3,2,2,1,0,0,0,0,0,0,6,5,2,14,12,3,15,13,4,9,8,2,3,3,1,0,0,0,
0,0,0,0,0,0,2,2,0,5,5,2,10,9,3,13,12,3,13,12,3,12,10,3,10,9,3,11,12,3,13,13,4,13,13,3,11,11,3,9,9,6,7,7,6,5,5,4,
3,3,3,1,3,2,2,5,4,4,7,9,5,9,10,6,10,12,8,11,12,9,12,13,11,12,13,11,12,14,11,13,14,11,13,14,11,13,13,9,11,13,8,10,13,8,10,13,
8,10,13,9,9,12,8,7,10,6,4,7,5,3,6,6,3,5,6,2,4,5,2,3,6,3,4,5,3,5,5,2,6,4,3,3,4,2,2,6,3,3,9,4,3,11,5,4,
13,6,5,13,6,5,11,6,5,8,6,4,4,6,4,3,5,2,3,5,2,2,4,2,2,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,3,2,1,4,2,
2,5,3,2,4,2,2,3,1,2,3,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,6,3,3,12,2,2,9,0,0,1,0,0,0,0,0,0,2,2,8,
6,7,22,7,11,30,8,11,34,9,10,39,9,9,37,7,7,32,7,7,32,15,16,55,20,25,72,13,18,51,6,5,22,17,10,34,19,17,50,16,20,61,17,20,67,13,13,53,
4,4,23,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,3,3,14,0,1,1,0,0,0,4,1,3,1,1,1,1,0,1,29,8,28,61,17,57,65,18,59,
60,17,48,32,9,26,31,8,27,41,12,39,50,14,47,47,13,45,23,7,17,24,16,16,68,32,45,111,47,76,105,52,75,106,56,71,129,84,84,121,96,67,138,79,76,162,81,88,
172,114,92,154,115,75,139,92,77,157,86,104,150,89,86,163,132,82,180,125,87,165,101,75,140,118,53,157,138,60,175,130,72,142,97,61,101,78,34,116,85,43,145,77,64,133,68,56,
152,117,57,108,89,33,57,43,17,30,23,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,22,4,12,90,24,91,
142,42,149,118,35,121,73,22,74,124,36,123,155,41,151,132,46,123,106,57,88,139,54,136,170,108,175,171,150,174,152,142,158,137,138,159,111,108,139,149,121,140,183,183,173,133,177,147,
75,125,116,96,112,116,146,163,145,145,179,149,114,161,121,74,126,86,65,117,67,90,131,53,104,128,33,81,94,22,37,41,9,61,80,19,83,115,29,66,95,24,53,86,21,48,72,17,
42,62,14,21,33,8,10,16,3,26,44,10,22,35,9,1,1,0,4,6,2,23,37,9,50,63,16,64,73,20,43,53,14,22,23,6,30,29,7,43,42,11,34,30,9,31,32,10,
34,38,12,24,23,8,13,11,3,13,12,3,8,7,2,9,9,2,12,7,3,12,3,3,9,2,3,7,4,2,10,7,3,9,7,2,7,6,2,14,14,3,14,14,4,4,4,1,
0,0,0,0,0,0,2,1,1,9,9,2,12,12,3,6,6,2,0,0,0,0,0,0,0,0,0,0,0,0,5,4,1,9,8,2,4,4,1,0,0,0,0,0,0,0,0,0,
2,2,1,6,6,2,11,10,3,13,12,3,13,12,3,11,10,3,7,7,2,4,3,1,2,2,0,5,5,1,6,6,1,5,5,1,2,2,1,1,1,1,1,3,2,3,4,2,
4,4,1,5,6,3,8,9,6,11,11,11,12,13,12,13,13,12,14,13,12,14,13,13,14,13,14,14,13,14,14,13,14,14,13,13,14,13,13,13,12,13,13,12,13,12,12,13,
12,12,13,12,11,12,10,10,11,8,8,9,7,6,8,6,4,8,4,3,6,2,1,2,2,0,0,3,0,0,4,1,1,5,1,1,5,1,1,5,1,1,4,1,0,3,1,1,
5,2,2,8,3,3,11,4,4,13,5,5,10,6,5,6,5,4,3,5,3,3,5,3,3,5,3,3,5,2,2,4,1,1,2,0,1,1,0,0,0,0,0,2,1,1,3,1,
1,2,1,0,2,1,0,1,0,1,2,1,2,3,1,2,3,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,11,4,4,15,2,2,7,0,0,0,0,0,0,
2,1,6,5,6,21,7,10,30,10,13,37,11,11,42,10,9,37,9,9,35,10,11,43,16,19,59,20,26,71,12,17,49,7,5,21,13,10,31,12,16,44,15,20,61,17,19,66,
12,12,50,4,4,18,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,2,4,41,11,39,66,19,60,
55,20,49,15,8,15,8,2,7,28,7,25,27,7,27,49,13,44,37,9,36,2,3,6,23,18,17,76,34,44,89,44,54,87,47,54,112,63,72,128,95,77,122,91,67,139,71,78,
158,90,87,161,118,82,133,102,64,144,88,90,156,79,100,153,108,80,176,140,87,175,110,84,156,108,67,148,138,55,179,149,71,169,121,71,125,88,51,110,91,37,135,90,57,140,69,62,
137,90,57,144,117,53,76,61,22,42,31,11,11,9,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,0,43,11,42,122,36,130,
143,42,147,83,32,91,78,32,88,138,37,138,154,53,146,107,72,94,102,59,95,154,79,162,174,138,178,161,155,169,133,148,160,115,128,151,130,115,141,182,171,173,169,189,175,95,152,140,
79,115,119,138,152,136,154,182,155,127,169,134,82,137,95,55,110,72,66,107,51,94,120,34,93,110,26,49,54,13,47,61,14,83,113,28,71,101,25,53,85,20,46,76,18,35,53,12,
26,44,10,6,10,2,10,18,4,16,26,6,2,2,1,2,2,1,19,30,7,44,58,15,61,71,19,42,53,14,22,25,6,28,26,7,43,42,11,33,29,8,23,19,7,30,32,11,
26,25,8,13,9,3,6,5,1,6,6,1,11,9,3,15,9,4,13,5,3,9,2,3,8,3,2,10,7,3,10,7,3,5,4,1,4,5,1,9,9,2,3,3,1,0,0,0,
0,0,0,0,0,0,4,4,1,8,8,3,3,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,5,5,2,
8,7,2,9,9,2,11,10,3,10,9,3,7,6,2,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,7,6,2,8,8,2,
8,8,3,9,9,4,10,10,7,12,12,10,13,13,11,14,13,12,14,13,11,13,13,11,13,12,10,12,11,9,12,11,9,12,10,8,12,10,8,12,10,7,12,9,7,12,9,7,
12,10,7,12,10,7,11,10,7,9,9,5,8,7,4,5,4,4,2,2,2,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,2,1,1,3,1,1,5,2,1,5,2,1,
2,1,0,0,0,0,2,0,1,5,2,1,6,2,2,5,3,2,2,4,2,2,5,3,3,5,3,3,5,3,3,5,3,3,5,2,2,3,1,1,2,0,0,1,1,0,1,0,
0,2,1,0,2,1,0,1,1,0,0,0,1,1,0,2,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,14,5,5,22,3,3,10,0,0,0,
0,0,0,1,1,4,5,6,21,10,15,38,12,19,44,11,13,43,10,10,40,11,11,46,12,12,46,15,18,56,18,24,67,11,15,46,3,3,16,5,8,22,11,15,44,16,21,64,
16,18,63,10,10,42,2,2,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,3,11,52,14,48,
65,20,59,35,15,31,1,2,0,14,3,11,19,5,18,28,7,26,53,14,48,22,6,24,0,6,3,41,23,25,79,36,43,82,44,50,96,51,60,121,75,77,119,96,66,109,74,63,
131,67,75,159,105,84,150,117,70,133,93,70,156,86,99,154,94,83,165,135,81,179,127,88,167,101,78,149,123,59,165,151,62,181,140,74,154,112,65,126,110,45,123,97,43,145,82,65,
133,69,58,150,114,59,114,93,35,49,38,14,37,29,10,14,12,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,55,18,70,138,41,143,
119,37,122,66,50,90,102,64,127,143,44,143,140,85,126,93,99,79,124,79,130,167,114,175,170,153,173,149,159,171,122,141,165,112,111,140,164,147,159,187,189,184,140,175,166,81,126,134,
117,136,126,158,180,153,139,176,143,100,150,109,60,117,78,55,103,59,80,109,38,96,115,28,66,74,17,34,41,9,71,100,25,73,105,26,48,74,17,40,70,17,35,54,13,32,51,12,
9,14,3,6,10,3,17,28,6,4,6,1,0,0,0,13,22,5,29,46,11,51,62,16,46,58,15,21,26,7,22,22,5,43,42,11,36,33,9,18,11,5,18,10,6,20,16,6,
14,11,4,7,6,1,6,5,1,11,10,3,15,9,4,15,6,4,12,3,3,8,3,2,10,7,2,10,7,2,7,6,1,4,4,1,1,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,4,4,1,8,7,2,7,6,2,
3,3,1,1,1,0,3,3,1,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,5,6,2,8,8,5,9,9,5,
9,9,6,8,9,7,9,9,8,10,9,8,10,9,9,9,9,8,9,9,8,8,9,7,7,8,7,7,8,7,9,8,7,9,7,7,9,7,7,8,7,7,8,5,4,8,4,2,
8,5,2,8,5,2,8,5,2,7,5,2,7,4,2,5,3,1,3,1,0,2,1,1,1,2,1,0,2,1,0,1,1,0,1,1,0,1,1,0,2,1,1,2,1,2,2,1,
1,2,1,0,2,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,2,4,3,2,5,3,2,5,2,2,4,2,3,4,1,2,4,1,0,1,0,
0,0,0,0,1,1,0,2,1,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,12,5,5,22,3,3,11,
0,0,0,0,0,0,1,1,5,6,10,28,12,20,45,12,21,47,12,13,45,11,11,44,11,11,47,11,11,45,14,18,54,17,23,66,11,13,42,3,3,14,6,8,25,13,18,50,
16,22,63,13,15,54,4,3,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,6,22,
60,17,56,58,20,53,20,10,17,0,1,0,4,1,3,5,1,3,41,10,35,47,13,44,9,3,12,10,12,10,61,30,34,82,41,46,86,47,54,105,57,67,126,91,77,107,89,58,
109,62,64,143,80,78,160,118,81,138,106,66,132,84,75,144,82,77,156,115,74,174,141,87,176,112,84,156,106,68,152,137,57,178,151,71,174,130,73,142,116,58,122,107,41,134,90,55,
140,70,63,138,91,58,146,118,53,68,55,20,50,40,15,40,33,10,4,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,4,18,85,27,100,127,36,123,
83,38,90,73,76,114,130,76,154,148,61,142,111,104,89,105,101,97,151,99,164,174,143,180,162,167,176,134,155,171,117,126,156,139,122,146,186,178,179,168,187,181,105,154,157,94,126,130,
151,167,143,146,178,151,109,153,122,68,123,86,53,106,63,64,103,44,86,109,27,82,96,23,36,40,9,45,70,16,62,100,25,43,63,16,25,40,9,27,43,10,32,49,11,17,29,6,
4,7,2,15,25,6,8,13,3,0,0,0,10,16,3,23,40,9,35,49,12,40,53,14,25,32,8,17,17,4,39,38,9,39,37,10,19,14,5,13,5,3,13,7,3,13,10,3,
8,6,2,6,5,1,11,9,3,15,10,4,15,6,4,13,3,4,9,3,3,11,7,3,10,7,2,7,6,1,6,5,1,5,4,1,1,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,6,1,8,7,2,4,4,1,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,3,3,1,6,6,4,7,8,5,8,8,6,8,8,7,7,8,7,
6,8,8,6,7,9,5,6,9,5,7,9,4,6,8,2,6,7,2,5,7,2,5,7,2,5,7,3,6,8,5,7,9,6,7,9,6,7,9,5,7,8,5,5,6,4,3,4,
4,3,4,5,3,4,5,3,4,5,3,4,6,3,4,6,3,4,6,3,3,6,3,3,5,4,2,3,4,1,2,2,1,1,2,1,1,1,1,0,2,1,0,2,1,0,2,1,
0,2,1,1,2,1,1,3,1,1,3,2,0,2,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,1,3,2,3,4,2,2,4,2,2,4,1,
0,1,0,0,0,0,0,1,0,0,1,1,0,2,1,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,5,1,1,3,0,0,0,3,3,9,5,5,22,
3,3,13,0,0,0,0,0,0,1,1,5,8,10,30,12,21,44,14,23,50,13,16,49,13,12,48,12,12,47,11,11,44,14,18,53,17,22,63,9,12,38,3,3,13,8,11,31,
13,21,55,14,21,58,6,8,26,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,2,
39,10,36,63,18,59,49,18,44,9,6,7,0,1,0,1,4,0,18,7,14,51,14,44,34,9,34,1,3,6,31,22,19,77,39,41,88,46,53,91,49,56,119,71,76,121,96,69,
103,75,58,111,60,66,149,98,77,153,121,74,126,91,61,134,77,72,150,91,72,165,132,80,174,128,84,163,100,75,149,120,59,165,150,63,183,142,76,160,121,68,134,117,48,130,108,46,
150,93,65,138,80,60,147,114,57,113,93,36,72,56,21,67,52,20,19,16,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,42,15,59,116,34,119,109,34,100,
65,53,89,100,82,137,143,55,149,135,84,119,94,111,75,131,96,140,169,120,178,171,164,181,150,174,183,120,147,166,118,113,143,168,150,163,189,191,190,137,176,173,87,141,148,129,152,143,
156,179,161,117,156,133,72,123,95,50,105,70,52,98,49,63,94,29,76,97,23,46,51,12,36,51,12,58,97,23,49,78,18,22,34,8,16,25,6,26,41,9,26,41,10,4,6,1,
14,23,5,13,23,5,0,1,0,4,7,2,20,35,8,30,46,11,36,50,12,28,38,10,16,16,4,34,35,8,41,40,10,22,17,6,13,5,3,11,6,2,11,10,3,11,7,3,
8,5,2,10,9,2,15,10,4,15,6,4,14,3,4,9,3,2,10,7,3,10,8,3,7,6,1,6,6,1,6,4,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,4,4,1,1,1,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,6,6,1,8,8,5,8,8,7,7,7,6,6,5,6,4,4,6,3,5,7,
3,6,9,3,5,9,2,5,8,2,5,8,3,5,7,4,5,7,4,5,7,5,5,7,5,5,7,6,5,7,5,5,7,5,5,7,5,5,7,5,5,7,5,4,6,4,2,5,
4,2,5,4,2,5,3,2,4,2,2,2,3,3,3,4,4,4,5,3,4,6,4,4,5,3,2,4,3,1,4,3,1,4,3,1,4,3,1,3,2,1,2,2,1,1,2,1,
0,1,1,1,1,1,1,3,1,2,3,2,2,3,2,2,3,2,1,3,2,1,2,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,2,3,2,2,4,2,
2,3,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,2,1,0,1,1,0,1,0,0,0,0,0,0,1,3,5,11,3,5,13,1,1,4,0,0,0,2,2,8,
6,7,24,5,5,17,0,0,2,0,0,0,1,1,5,6,9,24,12,22,44,14,25,54,15,17,53,13,12,50,12,12,47,11,11,42,14,18,52,16,22,62,7,9,31,3,3,14,
7,12,31,12,19,48,10,16,41,3,3,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
11,2,9,51,14,46,66,19,61,34,16,30,3,5,2,3,8,1,7,12,3,31,12,24,40,10,38,7,2,11,6,8,5,55,32,30,81,43,44,83,47,51,104,57,66,128,88,80,
113,93,61,99,59,57,119,70,66,158,116,78,142,111,66,126,81,64,143,80,73,158,114,73,169,139,82,167,113,77,157,112,68,150,138,57,179,151,71,174,129,73,143,116,58,138,127,45,
157,126,61,147,88,63,136,93,57,154,127,54,105,84,31,73,56,22,39,30,10,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,5,23,75,26,95,116,31,113,83,39,87,
74,74,113,125,69,147,147,59,141,108,105,86,106,104,103,158,105,179,175,146,182,163,175,184,140,168,185,118,126,159,141,114,152,186,174,182,168,186,185,104,159,163,104,145,145,155,175,159,
138,171,153,86,131,111,51,105,77,52,103,62,54,93,40,45,77,17,34,49,11,20,26,5,48,80,19,55,92,22,31,47,11,17,29,6,18,30,7,26,44,10,8,12,3,8,12,3,
15,25,6,3,5,1,0,0,0,6,11,2,22,36,8,35,49,12,32,44,11,17,19,5,28,28,6,44,43,11,27,23,7,14,6,3,12,5,2,11,10,3,11,8,3,8,6,2,
9,9,2,14,10,4,15,7,4,14,3,4,9,2,2,9,6,2,11,8,3,9,6,2,7,6,2,6,4,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,
1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,3,2,6,6,4,5,4,5,4,3,5,2,2,4,1,1,3,0,1,2,1,2,3,
2,4,6,2,5,6,1,5,5,1,4,5,4,5,7,6,5,7,6,5,7,6,5,7,6,5,7,6,3,6,5,3,5,5,3,6,5,2,5,5,2,4,4,2,4,4,2,5,
5,2,5,5,2,5,4,2,3,2,0,0,2,0,0,2,0,0,2,0,1,2,1,1,3,1,1,3,1,1,4,1,1,4,2,1,4,2,1,4,3,1,4,3,1,4,3,1,
3,3,1,2,2,1,2,2,1,1,2,1,1,3,1,2,3,2,2,3,2,2,3,1,2,3,1,1,2,1,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,
2,2,1,2,3,1,1,2,1,1,1,0,0,0,0,0,0,0,0,1,1,0,2,1,0,2,1,0,0,0,0,0,0,1,2,6,3,6,14,4,6,14,1,2,5,0,0,0,
4,4,13,8,10,31,5,5,19,0,0,2,0,0,1,2,2,8,6,9,26,12,22,45,15,25,54,14,16,53,13,12,50,12,12,47,10,11,41,15,19,56,15,21,58,5,7,25,
1,2,5,4,5,17,10,16,42,8,13,34,2,2,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,
0,0,0,25,6,22,62,17,57,56,19,52,18,12,16,4,10,1,8,16,3,14,14,7,10,4,9,3,1,4,0,2,0,24,21,15,56,35,32,61,40,39,79,45,49,114,68,71,
121,96,67,103,76,53,92,51,56,132,91,68,154,121,73,127,89,58,132,74,68,150,90,72,164,131,78,174,140,81,169,117,76,149,121,61,164,148,62,179,140,72,154,119,64,143,128,51,
153,134,54,158,110,67,136,79,59,157,123,61,124,100,43,82,64,26,57,44,17,12,10,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,40,15,60,91,27,103,103,37,100,63,58,89,
98,82,136,135,54,145,121,77,108,94,111,73,135,100,153,169,123,188,169,169,184,151,179,187,132,153,178,129,116,158,170,143,173,188,185,193,138,176,178,88,145,151,136,159,149,152,179,159,
116,153,136,78,120,106,55,105,77,56,101,50,46,82,24,33,59,12,11,16,3,25,43,10,44,77,18,35,55,13,19,29,6,16,26,5,18,29,7,9,14,3,3,5,1,16,28,6,
7,11,3,0,0,0,0,0,0,4,6,1,25,35,9,33,47,12,20,24,6,9,9,2,31,31,8,29,27,7,14,9,3,11,3,2,10,7,3,12,10,3,9,6,3,8,7,2,
13,10,4,15,8,4,15,4,4,10,2,2,7,3,2,10,6,2,10,6,2,9,6,2,6,5,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,1,3,
1,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,3,3,2,4,3,2,4,1,1,3,0,1,1,0,1,1,0,0,0,0,1,1,1,2,2,
2,4,4,2,4,5,2,4,5,2,4,5,4,4,6,5,4,7,5,4,6,4,3,6,4,3,7,4,3,6,4,2,5,3,2,5,3,2,4,3,3,1,4,3,1,4,3,2,
5,3,2,6,3,2,6,3,2,6,3,1,5,3,1,4,2,1,4,2,1,3,1,1,2,1,0,2,1,1,2,0,0,2,0,1,3,0,0,3,1,1,3,1,1,4,2,1,
4,3,1,4,3,1,4,3,1,3,3,1,2,3,1,1,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,1,3,1,0,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,1,2,1,2,3,1,2,3,1,1,2,1,0,0,0,0,0,0,1,1,2,2,3,6,1,2,3,0,1,0,0,0,0,1,1,4,3,5,13,4,6,15,1,2,5,
0,0,2,4,6,17,8,11,31,5,6,21,3,5,13,4,9,17,4,7,19,7,10,28,12,23,47,15,23,54,13,14,50,12,12,47,11,11,45,10,12,42,14,20,56,12,17,47,
3,4,13,0,0,0,5,7,22,10,17,45,7,9,26,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,5,2,
2,6,1,4,1,3,42,11,37,65,18,60,42,16,39,8,9,6,7,13,2,8,16,3,5,8,2,0,1,1,3,6,1,7,14,5,18,26,16,20,28,22,43,34,31,90,51,52,
111,80,60,111,91,54,69,49,44,79,58,51,141,110,69,143,109,63,123,73,56,139,75,70,155,108,73,164,136,78,170,124,76,158,113,68,148,138,55,169,146,64,154,124,60,142,123,53,
158,144,54,166,133,66,145,86,62,146,105,59,150,125,57,101,79,33,71,53,22,26,19,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,5,21,64,21,85,104,45,112,90,78,101,74,95,118,
121,73,147,125,50,126,81,97,68,101,112,111,156,113,184,164,149,186,148,181,184,139,171,186,129,135,171,151,135,169,190,178,193,179,189,195,117,167,174,107,147,146,150,170,156,130,163,148,
108,142,136,85,120,114,60,103,74,43,81,29,34,66,14,21,33,7,15,23,5,36,65,15,33,58,13,21,33,7,17,29,6,19,32,6,12,18,4,1,1,0,13,21,5,12,20,5,
1,1,0,0,0,0,0,0,0,12,17,4,31,45,11,26,33,9,7,6,1,8,7,2,18,16,5,13,11,3,7,3,1,5,3,2,9,8,3,10,7,3,8,6,2,12,10,3,
15,8,4,15,4,4,10,2,3,7,3,1,9,6,2,10,6,2,9,6,2,6,5,2,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
2,2,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,2,1,3,1,1,2,
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,2,1,3,1,1,2,0,1,1,0,0,0,0,1,1,1,1,2,1,1,3,1,3,4,2,3,5,
3,3,5,3,3,6,4,4,6,4,4,6,4,4,6,4,4,7,4,4,6,5,4,6,4,4,6,4,4,6,4,2,5,4,2,4,4,2,2,5,3,1,5,3,1,5,3,1,
5,3,1,5,3,1,5,3,1,5,3,1,5,4,1,6,4,1,6,4,1,6,3,1,5,3,1,5,3,1,4,2,1,3,1,1,2,0,0,2,1,1,2,0,0,3,0,0,
3,1,1,3,2,1,3,2,1,3,3,1,4,3,1,2,2,1,1,1,1,1,3,1,2,3,1,2,3,1,2,3,1,2,3,1,1,2,1,1,2,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,1,1,1,1,2,1,1,1,0,1,1,0,0,0,1,2,2,6,2,4,8,1,3,4,0,1,1,0,0,0,1,1,4,4,5,13,3,6,14,
2,2,6,1,1,4,5,6,18,8,11,32,7,10,27,6,12,25,7,13,26,5,7,20,8,12,30,13,25,48,14,21,52,12,13,47,12,12,48,11,11,44,9,12,38,13,20,50,
10,13,39,2,2,7,0,0,1,7,10,30,10,16,43,4,5,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,
5,8,2,1,4,0,16,4,13,57,15,50,61,18,56,25,12,24,4,8,1,9,16,4,9,15,3,3,5,1,5,8,2,9,16,4,13,23,9,11,25,14,19,28,22,68,42,40,
99,63,54,115,94,59,81,69,43,42,37,36,109,84,55,152,119,69,122,86,53,115,62,55,145,80,66,157,120,74,169,130,75,167,114,72,154,130,61,158,150,54,154,130,57,140,119,51,
164,151,57,175,155,63,161,113,70,137,89,58,156,132,61,132,108,46,80,61,24,51,37,16,5,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,4,23,8,36,72,27,80,109,82,118,80,109,112,100,112,146,
130,63,147,106,74,101,69,111,68,118,122,157,164,145,195,152,170,183,139,181,186,126,151,176,122,126,162,167,163,181,194,191,200,152,182,188,97,152,158,134,157,149,137,166,154,110,146,139,
102,132,133,78,112,102,46,83,49,20,39,10,19,38,8,10,15,3,29,49,11,36,66,15,24,39,8,18,31,7,17,27,6,15,26,5,2,3,0,7,11,3,16,26,6,3,5,1,
0,0,0,0,0,0,4,6,2,23,36,8,27,40,10,10,12,3,5,4,1,11,9,3,11,9,3,4,3,1,2,1,0,7,7,2,10,8,2,8,6,2,9,7,2,14,8,4,
15,5,4,12,3,3,7,2,1,9,6,2,10,6,2,10,6,2,8,5,2,3,3,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,
3,3,1,2,2,0,0,1,0,1,0,1,2,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,1,3,2,1,3,1,1,2,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,2,2,1,2,3,1,2,3,2,3,4,3,4,6,
4,4,7,4,4,7,4,5,7,4,5,6,4,4,6,5,4,6,5,4,6,5,4,6,5,4,6,4,3,4,3,2,3,4,1,2,4,1,2,4,2,2,4,2,2,4,2,2,
4,2,2,4,2,2,4,2,2,2,2,2,2,2,2,3,2,2,4,2,1,4,3,1,5,3,1,5,3,1,4,2,1,4,1,1,4,1,1,3,1,1,1,0,0,0,0,0,
1,0,0,1,1,0,1,1,0,1,1,0,2,2,1,2,1,1,0,0,0,1,1,1,1,2,1,1,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,1,2,1,
0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,2,0,1,2,0,0,1,0,0,0,0,1,2,5,2,3,9,1,3,4,0,2,1,0,0,0,1,1,3,3,5,13,
5,7,17,4,5,13,2,3,10,5,6,19,9,11,32,8,12,31,7,14,27,6,12,25,4,6,20,8,13,33,15,26,51,15,22,54,12,13,48,11,11,44,8,8,34,9,12,37,
13,19,52,8,10,30,0,0,2,2,2,7,10,14,39,9,13,37,2,2,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
2,4,2,4,7,1,2,3,1,35,9,28,66,18,60,49,17,47,11,9,11,7,12,2,10,17,4,7,12,3,4,5,1,8,15,3,12,20,6,14,26,14,11,26,16,41,36,30,
89,54,47,110,80,59,109,90,52,54,43,35,66,54,41,143,111,66,140,108,63,108,66,48,130,65,61,153,101,70,163,128,73,170,118,73,167,126,71,160,150,55,167,150,59,148,125,54,
154,141,56,181,167,63,175,142,70,146,94,61,158,131,63,163,139,60,97,75,31,70,52,21,32,24,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,5,17,34,9,42,90,53,92,100,121,118,79,128,130,124,115,167,
129,84,148,82,100,74,71,118,93,132,137,180,158,160,187,144,180,184,136,170,186,109,130,163,122,133,158,183,180,191,179,188,197,116,166,173,108,148,145,146,166,155,118,154,144,99,134,134,
86,113,119,54,94,73,16,36,15,4,6,0,3,6,1,19,30,6,36,65,15,32,54,12,19,31,7,13,22,7,13,23,6,7,12,3,2,2,1,15,27,6,8,15,4,0,0,0,
0,0,0,0,0,0,8,13,4,18,33,8,11,17,4,2,2,0,9,8,2,12,10,3,7,6,1,1,1,0,5,5,1,10,8,2,9,6,2,7,7,2,12,7,3,15,5,5,
13,3,4,7,2,2,8,5,2,10,6,2,10,6,2,8,6,2,7,3,2,2,1,0,2,0,0,3,1,1,2,1,1,0,0,0,0,0,0,0,0,0,1,2,1,3,3,1,
3,3,1,1,1,0,1,0,1,2,0,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,2,1,3,2,1,3,1,1,2,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,1,3,4,2,4,6,3,5,7,
3,5,7,3,4,6,2,4,6,1,4,5,2,4,5,3,4,4,3,3,4,2,3,3,2,3,3,2,2,2,1,1,1,1,0,0,1,0,1,2,0,1,2,0,2,2,0,2,
3,0,2,3,0,2,2,0,2,2,0,2,2,0,2,2,1,2,3,1,2,4,2,3,4,2,2,4,2,1,3,2,1,2,1,0,2,1,1,3,1,1,2,1,1,2,1,1,
1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,2,1,1,3,1,2,3,1,2,3,1,2,3,1,2,3,1,
2,3,1,1,1,1,0,0,0,0,1,0,1,2,1,2,2,1,2,2,1,1,2,0,1,1,0,0,0,0,1,2,5,2,3,9,1,2,3,0,0,0,0,0,0,1,1,4,
4,6,14,6,11,24,5,9,20,3,4,13,6,7,23,9,11,33,7,12,29,7,14,29,5,11,25,5,6,20,10,17,39,16,29,55,15,21,53,10,9,40,8,7,32,6,6,26,
10,15,41,12,16,47,2,3,11,0,0,0,5,5,17,10,17,44,7,10,27,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,4,6,2,2,6,0,11,3,8,48,12,42,49,14,47,22,11,22,5,9,2,9,15,3,10,16,4,4,7,1,5,7,2,10,18,4,13,22,8,12,26,13,21,31,22,
70,47,41,100,65,55,116,94,59,83,66,42,44,35,34,110,86,54,152,119,68,121,85,53,114,59,54,135,79,61,151,119,69,170,127,75,174,124,76,166,145,66,168,158,57,159,136,57,
143,125,52,176,163,66,178,154,68,160,113,66,153,120,63,175,154,66,125,102,44,84,64,25,59,45,17,5,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,2,8,20,7,31,56,18,61,107,90,112,85,136,122,93,130,150,137,111,173,
118,101,129,63,108,59,91,119,128,142,147,185,144,172,179,139,182,186,125,155,178,100,126,155,151,153,175,188,180,197,149,180,188,98,151,159,134,158,153,137,165,153,105,141,137,85,115,127,
62,90,97,24,58,36,2,5,10,1,0,6,6,8,2,31,54,12,34,63,15,25,39,9,21,33,25,10,13,26,3,5,5,0,0,0,10,18,4,14,25,5,1,2,0,0,0,0,
0,0,0,0,0,0,4,6,1,6,11,3,1,1,1,5,4,1,11,9,3,9,8,3,2,2,0,3,3,1,9,7,2,10,6,2,8,6,2,10,7,2,15,6,4,15,4,7,
10,3,4,7,3,2,10,6,2,10,6,2,9,6,2,7,4,2,5,2,1,3,1,1,5,1,1,4,1,1,1,0,0,0,0,0,0,0,0,1,2,1,3,3,1,3,3,1,
1,2,0,2,0,1,2,0,2,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,3,2,1,3,2,1,2,1,0,1,1,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,1,2,1,2,3,1,3,4,2,4,6,2,4,5,2,4,5,
1,4,5,1,4,4,1,4,4,1,3,4,1,3,4,1,2,2,1,2,2,1,2,2,1,2,2,0,2,2,0,1,1,0,0,0,0,0,0,2,1,1,3,1,1,3,1,1,
3,1,1,3,1,1,3,1,1,4,1,1,3,1,1,3,1,1,3,1,2,4,1,3,4,1,3,4,1,2,4,1,2,4,1,2,3,1,1,3,1,1,3,1,1,2,1,1,
3,1,1,3,1,1,2,1,1,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,2,1,1,3,1,2,3,1,2,3,1,
1,3,1,1,2,1,1,2,1,0,1,0,1,2,1,2,3,1,2,3,1,2,1,1,1,2,0,1,2,0,0,1,0,1,2,5,3,3,9,2,1,4,0,0,0,0,0,0,
1,1,4,6,8,19,6,13,26,6,9,22,5,6,21,7,9,26,8,11,32,9,13,33,7,14,30,5,9,22,5,7,23,11,21,44,16,29,56,13,16,47,7,6,29,6,6,24,
6,8,28,11,16,45,6,7,26,0,0,0,0,0,1,7,9,28,8,12,32,1,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,1,1,4,8,2,2,4,1,14,3,12,20,6,22,15,7,16,5,8,3,6,10,2,10,17,4,8,13,3,3,4,1,11,16,4,17,25,7,16,27,12,12,27,17,
44,39,31,88,53,48,105,79,56,107,88,51,53,38,32,69,54,38,142,108,61,128,99,57,100,61,44,114,62,51,133,99,58,160,128,70,172,119,75,171,135,74,165,156,59,169,148,61,
143,122,51,161,147,60,176,164,67,169,136,66,152,111,63,175,153,69,160,137,59,101,79,32,70,54,20,15,12,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,12,6,20,31,8,41,77,39,80,110,121,125,74,137,129,93,114,153,128,101,160,
91,105,90,63,111,75,116,128,164,146,158,181,143,187,185,139,175,189,114,142,170,117,143,162,175,167,190,175,177,195,113,165,177,109,149,160,144,165,164,119,154,148,94,130,135,70,92,114,
36,69,66,8,25,18,7,5,38,7,6,35,20,32,9,34,64,14,29,50,10,21,31,21,20,28,55,10,10,48,2,1,11,4,7,0,16,28,6,5,9,2,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,4,1,7,6,2,4,4,0,1,1,0,7,6,2,10,7,3,8,6,2,9,7,2,13,6,3,15,4,6,11,3,6,
8,3,2,10,6,3,10,6,2,10,6,2,9,6,3,7,2,2,3,1,1,4,1,1,5,1,1,2,1,1,0,0,0,0,0,0,1,1,0,3,3,1,3,3,1,1,1,0,
1,0,1,2,0,2,1,0,1,0,0,0,0,0,0,1,0,1,1,0,2,1,0,1,1,1,3,2,1,3,2,1,2,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,2,1,2,3,1,2,3,1,2,2,1,2,2,1,2,3,1,3,4,1,4,5,1,4,5,
1,3,4,1,3,4,2,3,4,2,2,4,2,2,3,1,2,3,0,2,2,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,2,1,1,3,1,1,3,1,1,
3,1,1,3,1,1,3,1,1,4,1,1,4,2,1,4,2,1,4,2,1,4,2,1,4,2,1,4,2,2,3,1,2,3,1,2,3,1,2,4,1,2,4,1,2,4,1,1,
3,1,1,3,1,1,3,1,1,3,1,1,2,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,2,1,1,2,1,
1,2,1,0,2,1,1,2,1,1,1,0,1,1,0,1,2,1,2,3,1,2,3,1,2,3,1,1,2,0,1,1,0,1,1,2,3,4,11,3,4,12,1,1,3,0,0,0,
0,0,0,2,2,6,6,9,21,7,13,27,7,10,26,6,7,24,7,9,27,9,12,34,9,15,35,8,15,30,5,8,21,6,9,27,14,25,48,16,27,56,11,12,41,6,6,27,
6,5,25,9,13,36,10,14,40,2,2,8,0,0,0,2,2,8,6,9,25,2,3,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,3,4,2,4,7,2,2,2,1,3,1,3,2,3,2,4,6,2,5,8,2,8,14,4,10,18,5,7,10,2,11,13,3,22,27,7,20,27,9,13,26,14,
22,31,22,56,44,36,71,59,44,100,89,48,79,58,35,41,27,26,101,74,42,127,101,56,96,73,39,93,52,39,119,77,48,138,110,58,165,120,71,174,126,77,163,147,64,170,156,60,
155,133,57,152,139,57,180,168,67,181,161,67,163,125,66,162,135,66,181,159,71,133,109,44,71,55,21,33,25,10,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,2,7,17,6,27,47,13,53,103,73,106,101,138,128,70,127,136,92,101,151,104,96,131,
66,106,59,72,116,106,130,143,178,140,175,176,142,189,189,138,163,187,121,145,172,150,161,180,185,172,196,148,172,188,95,154,171,127,157,164,137,166,166,109,145,153,88,117,137,53,78,95,
15,45,32,5,8,22,10,9,51,12,17,27,32,57,12,33,61,13,23,35,9,23,34,44,17,21,65,8,8,39,1,1,2,12,20,4,12,21,5,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,2,2,1,0,0,0,2,3,1,8,6,2,9,6,2,7,7,2,12,7,2,14,5,5,12,3,6,7,2,3,
10,4,2,11,7,3,10,6,3,11,6,3,9,4,3,4,1,1,4,1,1,6,1,2,3,1,2,0,0,0,0,0,0,1,1,0,4,4,3,3,3,1,1,2,0,1,0,1,
2,0,2,1,0,1,0,0,0,0,0,0,1,0,2,1,0,2,1,1,1,2,1,2,2,1,3,1,1,2,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,2,3,0,2,2,0,1,1,1,1,1,1,1,2,1,2,3,1,2,3,1,3,4,2,2,4,
2,2,3,2,2,3,2,2,3,2,2,3,1,1,3,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,1,2,1,1,
3,1,1,3,1,1,3,1,1,3,1,1,4,2,1,4,2,1,4,2,1,4,2,1,4,2,1,4,2,1,3,2,1,2,2,1,2,2,1,2,1,2,3,1,2,4,1,2,
4,1,2,4,1,1,3,1,1,2,1,1,2,1,1,3,1,1,2,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,
1,2,1,0,2,1,0,2,1,0,0,0,1,0,0,1,1,0,1,1,0,2,2,1,2,3,1,2,3,1,1,1,0,0,0,1,2,3,8,3,6,14,3,5,12,1,1,3,
0,0,0,0,0,0,3,4,12,7,13,26,8,14,29,6,9,25,6,6,24,7,10,29,11,17,38,11,20,39,8,14,30,4,6,20,8,12,32,15,28,52,15,23,53,9,9,35,
6,6,26,7,7,27,10,15,40,6,8,25,0,0,1,0,0,0,3,4,13,4,7,19,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,4,7,2,3,6,1,0,0,0,3,6,1,4,7,2,5,8,2,6,10,2,12,21,5,13,20,5,8,11,2,20,23,6,24,29,8,19,28,12,
14,28,18,25,35,25,32,42,28,71,74,40,98,80,42,46,23,21,60,41,26,118,90,49,110,89,45,85,54,31,86,43,31,105,77,41,149,116,62,172,120,74,170,139,73,164,154,58,
171,150,62,157,144,57,174,164,66,182,168,69,174,140,68,153,119,64,178,157,72,167,141,63,96,75,31,51,38,16,7,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,8,3,12,23,6,31,64,25,67,108,106,117,84,140,129,76,118,145,90,98,147,78,107,102,
57,118,65,74,122,130,121,146,163,138,182,177,143,183,191,140,153,187,142,154,182,174,168,191,176,172,195,120,166,181,94,150,165,121,162,162,118,151,156,100,132,152,74,98,127,34,69,65,
7,24,17,8,6,39,10,9,43,14,24,11,28,56,12,27,47,9,22,33,23,20,26,58,12,12,56,3,2,15,5,9,0,16,28,6,5,7,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,1,7,4,1,7,6,2,10,7,2,14,5,4,13,4,6,8,3,3,7,2,2,
9,3,3,10,6,3,11,6,3,11,5,3,6,2,1,3,1,1,6,1,3,6,1,3,1,1,1,0,0,0,1,0,0,4,3,3,4,4,3,1,2,0,1,0,1,2,0,2,
1,0,1,0,0,0,0,0,0,1,0,2,1,0,2,1,1,1,2,1,2,2,1,3,1,1,2,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,
1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,2,2,1,2,3,1,2,3,1,1,2,2,1,3,2,2,3,2,2,3,
2,2,3,2,2,3,2,2,3,1,2,2,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,1,
2,1,1,2,1,1,2,0,0,2,1,1,2,1,1,3,1,1,3,1,1,3,2,1,4,2,1,3,2,1,3,2,1,3,2,1,3,2,1,3,2,1,3,2,1,2,1,1,
3,1,1,3,1,2,3,1,1,1,1,1,0,1,0,2,1,1,3,1,1,3,1,1,2,1,1,1,1,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,
1,2,1,1,2,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,2,2,1,2,3,1,2,3,1,0,1,0,0,0,2,2,4,9,3,6,14,3,5,11,
0,1,2,0,0,0,2,3,7,6,10,22,8,16,30,8,14,30,6,8,25,6,7,25,10,15,34,12,22,42,11,20,38,7,11,26,5,6,19,10,15,36,15,26,52,12,16,45,
7,6,29,6,6,25,7,10,31,10,15,39,3,4,13,0,0,0,1,0,2,4,6,18,3,4,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,2,3,1,4,8,2,2,2,1,2,2,1,4,8,2,5,8,2,5,8,2,12,18,4,15,25,6,10,13,3,13,15,3,24,29,7,24,32,10,
19,32,17,18,32,21,21,36,24,42,54,30,95,87,44,72,43,29,40,20,18,97,72,39,117,95,50,85,66,33,61,36,21,63,47,23,121,100,45,169,121,70,174,132,76,162,149,61,
169,153,59,156,143,57,166,158,62,183,171,70,178,154,70,156,117,63,171,152,67,186,162,72,126,100,42,66,49,22,19,14,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,2,7,11,4,17,35,13,47,63,51,79,84,128,114,76,146,140,86,122,155,84,101,135,64,123,91,
60,139,112,90,135,154,120,150,154,136,185,182,143,172,193,139,152,186,154,164,186,179,171,194,154,172,188,98,158,173,105,152,161,121,157,156,108,135,150,91,109,142,61,82,109,24,53,44,
5,9,21,11,10,50,6,6,24,8,14,2,16,31,6,18,30,9,23,33,43,17,19,65,8,8,37,1,1,1,13,23,4,11,19,4,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,3,6,1,3,7,4,1,8,7,2,12,6,3,14,4,6,10,3,5,7,1,2,8,2,2,
8,3,2,11,6,3,11,6,3,8,3,2,3,1,1,5,1,2,6,1,3,2,1,1,0,0,0,1,0,0,4,3,3,5,4,3,3,2,1,1,0,0,2,0,2,2,0,1,
0,0,0,0,0,0,1,0,2,1,0,2,1,1,1,2,1,3,2,1,3,1,1,2,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,
1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,1,3,1,1,3,2,1,3,2,1,3,2,2,3,2,2,3,2,2,3,
1,2,3,1,2,3,1,2,3,1,2,3,1,2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,
1,0,0,1,0,0,1,0,0,2,0,0,2,0,0,2,0,0,2,0,0,2,1,0,3,1,0,3,1,1,2,1,1,3,2,1,3,2,1,3,2,1,3,2,1,2,2,1,
1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,1,1,0,2,1,1,3,2,1,3,2,1,2,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0,
1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,1,2,1,2,3,1,2,3,1,1,1,0,1,0,2,2,4,9,3,5,14,
3,4,10,0,1,1,1,1,3,4,6,15,8,14,27,9,19,32,9,14,30,6,7,24,7,10,28,11,19,39,12,22,42,10,18,36,5,9,22,5,6,20,11,18,40,13,24,49,
10,10,36,6,5,26,6,6,25,9,13,35,8,12,31,1,1,4,0,0,0,3,3,9,5,8,21,1,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,4,6,2,4,6,2,0,0,0,4,6,1,4,8,2,5,7,2,8,11,3,15,23,6,13,21,6,10,10,2,20,23,6,26,33,9,
24,35,14,20,33,20,20,33,22,25,41,25,73,76,39,93,71,39,41,16,19,69,48,27,121,95,49,102,84,43,53,40,19,35,28,10,91,78,31,157,117,62,171,121,74,167,141,69,
157,147,53,152,136,53,151,142,54,180,169,67,180,164,70,164,135,64,163,148,63,189,173,73,150,128,54,85,70,26,38,28,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,3,7,2,11,19,6,27,51,39,74,69,103,108,77,158,132,77,148,152,91,119,156,76,102,115,63,137,96,
72,150,147,105,140,158,128,162,163,145,190,194,143,170,193,138,162,186,158,174,188,170,173,194,127,168,183,89,150,165,115,155,159,112,132,149,98,104,141,77,89,125,55,77,93,20,32,34,
7,6,37,10,10,47,2,1,11,2,4,0,4,6,0,17,30,21,23,32,62,13,12,57,3,2,13,5,8,0,16,27,6,3,5,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,7,2,5,7,4,3,7,7,2,10,7,2,12,5,4,11,3,6,5,1,2,7,2,2,8,3,2,
9,6,2,11,6,3,9,4,3,4,1,1,4,1,1,6,1,3,3,0,3,1,0,0,3,0,0,4,3,2,4,4,3,2,3,1,1,0,0,2,0,2,2,0,1,0,0,0,
0,0,0,1,0,2,1,0,2,1,0,1,2,1,3,2,1,3,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,
1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,2,1,3,2,2,3,2,2,3,1,3,3,1,3,3,1,2,3,
1,2,3,1,2,2,1,2,2,1,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,3,1,1,3,2,1,3,2,1,3,2,1,
2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,2,2,1,2,2,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,
1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,2,2,1,2,3,1,2,3,1,1,1,0,1,1,2,2,4,10,
3,5,14,2,3,8,0,0,0,1,1,5,5,9,20,9,17,30,9,19,33,8,12,28,6,6,24,8,11,31,11,20,39,11,22,41,8,15,32,4,7,19,6,9,25,12,22,44,
13,19,45,7,8,31,6,6,26,7,7,27,9,13,34,4,5,15,0,0,0,0,0,1,4,5,17,3,4,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,4,7,2,2,3,0,1,1,0,4,8,2,5,8,2,5,8,2,12,17,4,19,28,7,12,16,5,13,15,3,25,29,8,
26,34,11,21,34,17,19,32,21,20,35,23,48,59,32,98,85,44,62,32,27,44,24,21,103,76,40,116,93,48,76,58,29,36,25,11,72,63,22,130,104,45,158,113,63,165,133,69,
153,144,55,148,132,50,132,125,45,166,157,59,182,171,70,172,152,63,154,139,55,181,170,68,177,160,66,116,105,36,57,44,17,9,6,3,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,4,1,6,6,2,11,31,15,45,62,69,98,77,139,129,76,162,143,82,141,160,88,108,146,71,117,102,61,148,114,
84,149,161,115,143,153,130,179,174,140,188,194,143,171,196,138,172,186,159,177,190,154,172,190,97,159,174,94,147,160,116,145,155,104,107,149,90,92,141,67,81,114,41,62,68,7,12,24,
10,10,48,8,8,38,4,5,20,0,0,3,5,8,3,22,33,42,18,21,66,8,8,38,1,1,1,13,23,5,11,19,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,1,4,8,2,4,7,5,1,9,7,2,10,5,2,11,3,5,5,1,3,2,0,1,8,3,3,10,6,5,
11,6,4,11,5,3,6,1,1,3,1,1,7,1,4,5,1,3,1,0,0,3,1,1,5,3,2,5,4,4,4,3,2,1,0,0,2,0,2,2,0,2,0,0,0,0,0,0,
1,1,3,1,1,3,1,0,1,1,1,2,2,1,3,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,
0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,2,1,3,3,1,3,3,1,3,3,1,3,3,1,2,3,1,1,2,
0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,
1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,0,0,2,1,0,3,1,1,
3,1,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,2,3,1,2,3,1,1,2,0,0,1,3,
2,5,11,3,6,15,2,2,6,0,0,0,2,3,8,7,11,23,9,19,32,9,17,32,6,9,27,6,7,25,10,15,33,11,22,41,11,20,39,7,12,27,4,6,18,8,13,31,
12,23,46,11,14,39,6,6,27,6,5,24,6,7,23,5,6,19,0,1,2,0,0,0,2,2,6,4,7,21,1,2,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,5,2,4,6,2,1,1,0,5,9,3,7,10,3,5,7,2,10,14,3,20,27,7,18,25,6,10,11,2,20,23,6,
27,33,9,24,35,15,21,34,20,23,35,23,28,44,26,83,82,41,87,60,37,36,12,16,79,52,29,110,82,46,90,69,38,51,37,17,66,58,19,96,87,28,138,106,49,155,122,62,
156,143,58,150,137,51,132,122,44,150,145,51,187,178,71,186,170,68,163,149,57,173,166,63,196,179,76,144,131,49,77,64,23,22,14,8,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,3,4,1,6,10,2,15,43,31,64,69,97,115,78,153,133,77,154,153,91,130,168,84,102,131,61,130,95,63,149,133,
96,142,160,115,153,152,130,190,184,137,181,194,139,170,192,140,171,186,160,169,192,131,167,184,64,145,158,99,141,153,113,119,148,101,96,152,83,88,137,57,72,94,25,38,40,8,8,39,
13,13,59,8,8,38,5,5,21,0,1,0,15,21,18,21,28,58,13,13,59,3,2,16,5,9,0,16,28,7,3,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,7,2,5,6,3,1,6,5,1,9,5,2,11,3,5,8,1,5,1,0,1,6,1,1,11,4,6,12,7,7,
11,6,4,7,2,1,4,1,1,7,2,4,7,2,6,3,1,2,2,1,0,4,2,1,6,4,4,5,4,5,3,2,2,2,0,1,2,0,2,0,0,1,0,0,0,1,1,2,
2,1,3,1,1,2,0,0,0,1,0,2,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,
0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,2,2,1,3,3,1,3,3,1,3,3,1,2,2,1,1,2,1,1,2,1,1,1,
0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,2,0,1,2,0,2,2,1,2,2,1,1,2,1,1,1,0,1,1,0,0,1,0,0,1,0,0,2,0,0,
2,0,0,2,1,1,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,2,3,1,2,3,1,1,2,1,
2,2,9,4,6,15,4,5,14,1,1,4,0,0,0,3,4,12,7,14,26,9,19,32,9,15,31,6,8,25,7,8,27,10,18,36,11,23,41,10,18,37,5,9,23,4,5,16,
8,13,31,11,17,42,8,9,32,4,4,18,2,2,8,3,5,16,3,4,9,0,0,0,0,0,0,4,5,15,4,5,16,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,4,7,2,2,3,1,4,6,2,8,13,3,7,10,3,11,17,4,17,23,6,21,29,8,13,16,4,16,19,5,
26,32,8,25,34,11,21,35,18,23,34,23,22,37,24,59,66,34,90,77,40,31,16,15,45,25,18,89,62,37,91,73,38,65,49,25,68,53,21,86,80,25,118,99,35,144,109,52,
160,139,62,153,143,53,140,125,48,142,139,47,190,184,70,198,182,76,178,162,65,171,168,60,194,183,74,165,148,61,99,87,32,40,29,13,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,3,2,0,3,19,5,25,55,51,85,74,121,125,77,162,138,80,150,165,93,119,163,73,114,120,62,152,116,79,156,160,
95,142,151,96,169,152,119,192,186,133,174,190,136,169,188,143,163,187,152,157,191,96,157,174,60,137,148,107,131,145,105,103,145,102,93,155,71,56,112,42,44,58,9,13,22,15,14,68,
17,17,72,9,9,39,1,1,8,4,7,1,22,34,39,18,20,64,9,8,42,0,0,2,6,12,2,9,16,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,6,2,5,7,2,4,2,2,1,5,2,1,9,3,3,10,3,5,3,1,2,4,1,1,9,3,4,12,6,7,12,7,6,
10,4,3,4,1,1,6,1,4,9,2,7,6,2,6,3,1,2,4,1,1,6,3,4,7,4,5,5,3,5,3,0,3,2,0,2,1,0,1,0,0,0,0,1,1,2,1,3,
1,1,2,0,0,0,0,0,0,0,0,1,1,0,1,2,0,2,2,0,2,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,
1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,1,2,1,2,3,1,2,2,1,2,3,1,1,2,1,1,1,1,1,2,1,2,2,1,2,2,
1,1,2,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,2,0,1,2,0,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,1,1,0,1,1,0,1,
1,0,0,2,0,0,2,0,0,2,0,0,2,0,0,1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,1,1,
1,1,1,1,1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,2,1,2,4,0,1,2,0,0,0,2,3,1,3,3,3,
3,3,8,4,5,15,4,6,17,4,5,12,0,0,1,0,1,2,5,7,18,9,18,30,9,20,33,8,13,29,6,7,24,8,11,29,11,21,39,12,24,43,9,16,32,4,5,15,
3,2,10,9,14,33,10,14,38,5,5,21,0,0,1,1,2,7,4,5,16,1,0,3,0,0,0,1,1,4,4,7,20,2,2,7,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,3,5,1,3,6,2,2,2,1,7,11,3,9,13,3,11,19,4,15,23,5,21,28,8,19,26,7,15,19,5,
25,31,8,28,35,10,23,35,15,20,33,20,23,35,24,36,49,27,75,72,34,36,27,16,14,7,5,48,35,20,70,62,28,75,60,28,62,46,22,78,68,24,102,94,28,130,102,43,
149,127,57,154,145,56,145,129,51,134,129,46,181,178,65,202,188,80,187,171,71,171,168,60,194,189,71,187,171,71,126,113,41,57,44,18,5,2,2,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,0,4,31,17,46,63,74,102,79,145,135,76,168,153,67,136,158,79,111,142,72,145,129,67,166,143,91,159,173,
91,153,146,84,183,159,107,179,179,138,167,191,135,167,186,149,155,189,135,153,186,68,148,163,79,135,147,109,118,139,105,99,152,104,85,152,69,31,98,26,17,35,7,8,33,19,20,84,
17,15,68,15,9,42,5,3,17,14,22,22,25,35,58,14,14,61,5,5,20,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,3,1,3,8,2,5,4,1,1,0,0,0,3,1,1,8,2,4,7,1,4,2,0,0,7,2,2,10,4,6,11,5,7,11,4,3,
6,1,1,4,1,2,9,2,8,8,2,8,5,2,4,4,1,2,6,3,3,7,4,5,6,4,5,4,2,4,2,0,2,1,0,1,1,1,1,2,1,2,3,1,3,2,1,2,
0,0,0,0,0,0,0,0,0,1,1,2,2,1,2,2,0,2,2,0,2,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,
1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,2,1,1,2,1,1,2,1,1,2,1,1,1,1,2,2,1,1,2,1,2,2,1,2,2,1,2,2,1,2,2,
0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,2,0,1,2,0,2,2,1,2,2,1,2,2,1,2,2,1,1,2,1,1,2,1,1,
1,0,1,1,0,0,1,0,0,2,0,0,2,0,0,2,1,0,2,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,
1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,1,1,2,3,6,2,2,6,0,0,2,0,0,0,2,3,1,
3,3,5,4,4,13,4,6,17,4,8,16,2,4,7,0,0,0,2,2,7,7,12,25,9,21,32,9,18,32,6,9,26,6,6,25,9,14,32,12,23,42,12,21,40,7,11,25,
2,2,7,4,5,17,10,16,37,8,9,30,2,2,7,0,0,1,4,5,15,3,4,11,0,0,0,0,0,0,4,5,14,4,5,17,1,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,3,4,1,4,8,2,3,3,1,0,0,0,0,0,0,1,1,0,5,7,2,2,3,1,4,7,1,9,14,3,11,17,4,14,22,5,19,25,7,21,29,8,15,22,5,
22,28,7,29,35,9,24,34,12,19,31,16,23,33,21,27,40,24,59,62,29,51,41,20,6,3,3,15,20,7,48,50,17,79,67,27,64,47,23,77,63,25,88,87,25,109,98,32,
134,113,47,152,139,54,149,134,51,131,120,44,163,160,57,200,187,80,193,177,75,174,169,62,191,190,69,203,188,80,159,143,56,78,64,24,21,14,7,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,10,10,20,48,52,84,70,105,121,82,165,147,70,170,164,44,118,136,56,110,118,69,161,134,75,169,160,94,150,163,
81,162,141,75,186,160,111,167,176,135,163,188,132,163,183,152,151,191,111,154,179,57,141,154,100,133,145,105,106,138,109,96,161,107,65,146,65,21,94,11,4,24,14,16,66,23,23,94,
32,18,76,33,13,60,20,14,47,22,34,44,21,27,66,10,9,45,1,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,6,2,5,8,2,4,1,0,0,0,0,0,2,1,1,6,2,4,2,1,2,5,1,2,10,3,5,10,3,6,10,3,4,8,2,2,
4,1,1,8,2,6,10,3,8,7,2,6,5,1,3,6,2,3,7,5,6,7,4,6,5,2,5,3,1,3,1,0,1,1,0,1,2,1,3,3,1,4,3,1,3,0,0,1,
0,0,0,0,0,1,1,1,2,2,1,2,2,1,2,2,1,2,2,0,2,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,
0,0,0,0,0,1,0,0,1,1,1,1,1,1,2,1,1,2,1,1,2,1,1,1,1,1,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,0,1,2,0,1,2,
0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,2,0,2,2,0,2,2,0,2,2,0,1,2,1,1,2,1,1,
2,1,1,2,1,1,1,1,0,1,0,0,1,0,0,2,1,0,2,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,
1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,3,2,3,7,2,3,6,0,0,1,1,0,0,
1,1,0,2,2,7,4,3,14,5,9,18,5,12,16,1,4,5,0,0,0,3,4,14,8,16,29,9,20,33,9,15,30,6,7,24,5,7,23,9,16,33,12,24,43,9,17,35,
5,7,17,1,1,6,6,8,23,7,9,27,2,2,9,0,0,0,2,2,7,4,6,17,1,1,3,0,0,0,2,2,5,3,4,13,1,0,2,0,0,0,0,0,0,0,0,0,
0,0,0,2,3,1,6,10,2,5,8,2,1,1,0,0,0,0,0,0,0,3,5,2,4,6,2,1,2,1,8,12,3,10,15,4,13,22,5,17,24,6,21,29,8,19,25,6,
18,23,6,28,33,9,26,33,9,20,29,10,19,27,12,23,35,23,45,54,27,65,56,26,17,9,8,4,9,1,28,38,9,73,67,24,70,53,25,67,50,23,81,79,25,88,95,26,
96,93,29,134,121,45,141,131,48,125,114,41,145,143,48,194,184,75,197,184,80,181,177,65,186,190,65,205,197,80,182,166,70,102,89,33,39,28,12,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,27,46,62,63,91,118,77,135,139,82,177,158,60,161,162,31,106,116,50,121,107,67,165,142,84,166,172,95,144,154,
67,172,139,73,180,159,123,160,180,123,164,182,130,157,183,145,150,189,85,152,170,64,136,147,112,128,147,100,91,148,107,80,165,99,46,143,50,19,86,7,9,36,24,26,103,29,25,101,
52,21,89,44,17,73,18,14,53,16,21,52,16,16,60,6,5,26,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,3,1,3,8,2,5,4,1,1,0,0,0,0,0,0,3,1,3,4,1,3,4,1,2,10,3,6,11,3,7,10,3,6,9,2,3,5,1,1,
6,1,3,10,3,9,10,3,7,6,1,3,5,1,3,7,4,6,7,4,7,6,3,6,4,1,3,2,1,1,1,0,1,2,1,3,3,1,4,3,1,4,2,1,1,0,0,0,
0,0,0,0,0,1,2,1,2,2,1,3,2,1,2,2,1,2,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,
0,0,1,0,0,1,1,0,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,2,1,2,2,1,2,2,1,2,2,0,2,1,0,1,1,1,1,1,0,1,1,0,1,1,
0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,
2,1,1,2,1,1,2,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,
1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,2,4,2,3,7,1,2,4,0,0,0,
0,0,0,0,0,2,2,2,10,5,8,17,6,14,21,5,12,15,0,2,2,0,0,3,6,9,21,9,19,31,9,20,32,8,12,28,5,6,21,6,9,24,11,21,39,12,22,41,
6,12,26,2,2,7,2,3,9,5,9,22,3,4,12,0,0,0,0,0,1,4,5,15,3,4,11,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,4,7,1,6,10,2,4,5,2,2,2,0,0,1,0,1,1,1,4,7,2,2,3,2,4,7,1,10,15,4,17,22,6,21,27,7,22,28,8,22,29,8,
18,25,6,25,31,8,29,35,9,22,30,7,15,24,6,22,32,19,31,43,25,64,60,26,38,27,15,3,3,2,15,26,6,61,61,19,78,62,27,65,49,22,79,68,24,81,89,25,
81,86,24,118,105,37,136,128,47,120,109,38,130,124,40,184,177,67,202,193,82,185,183,68,179,188,61,202,200,72,201,189,79,130,117,43,55,40,18,6,3,2,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,10,15,45,78,99,73,123,143,81,157,150,77,175,161,47,137,146,30,99,104,57,138,116,71,173,158,91,153,173,89,143,142,
61,180,143,87,173,165,125,159,182,99,159,172,123,146,180,129,146,181,62,140,157,80,125,147,106,106,145,97,77,162,108,65,165,87,37,138,29,15,68,15,17,71,31,32,125,40,27,107,
54,21,86,35,16,68,11,11,49,13,13,58,12,12,50,2,3,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,1,5,2,4,7,2,3,1,0,0,2,0,1,4,2,4,7,2,5,4,1,3,8,2,5,11,3,8,11,3,7,10,3,4,8,2,3,5,2,4,
9,3,7,10,3,8,8,2,6,6,2,3,7,2,5,7,4,7,7,3,7,5,2,5,2,0,1,0,0,0,1,1,3,3,1,4,4,1,4,3,1,3,0,0,0,0,0,0,
0,0,0,2,1,1,2,1,3,2,1,3,2,1,2,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,
1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,2,2,0,2,1,0,1,1,0,1,1,0,1,1,1,1,2,1,1,1,0,1,1,
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,2,0,1,2,0,1,
2,0,1,2,0,1,2,1,1,2,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,
1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1,3,5,2,3,7,1,2,4,
1,1,4,0,0,1,1,1,3,4,4,13,6,12,20,6,17,22,3,9,11,0,0,0,2,3,8,8,14,26,9,20,32,9,20,33,6,12,25,5,4,19,8,14,30,12,23,41,
8,14,30,2,2,8,0,0,2,5,7,17,5,8,20,1,1,3,0,0,0,2,2,7,4,6,17,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,2,1,6,10,2,6,10,3,5,8,3,3,4,1,0,0,0,4,6,1,4,6,2,2,3,1,9,12,3,17,20,5,22,27,7,23,28,7,23,31,8,
22,30,8,24,31,8,30,35,9,26,33,8,16,25,6,19,27,11,24,34,15,38,42,14,27,23,11,3,1,2,14,21,4,49,53,14,72,59,24,53,39,20,72,56,23,73,74,23,
73,79,21,100,93,29,136,125,46,123,114,40,121,112,37,169,164,58,204,196,81,196,194,76,182,192,62,197,201,68,208,199,82,153,141,55,67,52,22,15,9,6,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17,30,42,62,114,136,79,144,156,82,167,152,72,173,166,43,134,147,40,118,116,63,155,131,71,171,165,73,138,160,65,151,133,
60,183,151,103,164,172,117,160,179,92,149,165,130,128,178,105,135,167,51,120,144,91,106,144,92,72,146,98,71,170,106,60,163,72,30,124,16,12,53,24,26,102,34,34,130,50,26,105,
52,20,85,25,16,69,11,12,50,15,15,62,9,9,37,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,1,1,4,1,4,5,1,4,5,1,4,2,1,1,1,0,0,6,2,4,9,2,8,8,2,6,7,1,5,10,3,7,11,3,9,11,3,6,10,3,4,8,2,6,9,3,8,
10,3,9,9,3,8,7,2,6,7,2,5,7,2,6,7,2,7,7,2,6,4,1,3,0,0,0,0,1,1,4,1,4,4,1,4,3,1,3,0,0,0,0,0,0,1,0,1,
2,1,2,2,1,3,2,1,2,2,1,2,2,0,2,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,
1,0,1,1,0,1,1,1,2,1,1,2,1,1,1,0,1,1,1,1,2,1,1,2,0,1,1,0,1,1,1,1,1,1,1,2,1,1,2,1,1,1,0,1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,
2,1,1,2,1,1,2,1,1,2,1,1,2,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,2,2,1,1,1,1,1,1,0,
1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,2,2,3,7,2,3,8,
2,3,8,1,2,5,0,0,1,1,1,6,5,7,17,6,15,22,6,15,19,1,4,5,0,0,1,5,7,17,9,18,30,9,22,33,8,18,29,4,5,19,5,7,22,10,19,36,
10,16,35,2,2,9,0,0,0,3,3,8,5,8,22,3,4,12,0,0,0,0,0,2,4,5,16,3,3,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,4,7,1,7,11,3,8,11,3,5,9,2,0,0,0,1,2,0,5,8,2,3,5,1,7,11,3,14,17,4,20,25,6,22,27,7,23,30,8,
24,33,8,23,31,8,31,36,10,31,37,10,21,29,7,16,24,5,20,26,7,16,25,7,12,18,5,1,2,1,20,19,5,41,43,11,48,43,15,31,23,12,60,46,19,62,54,20,
46,52,14,81,79,23,135,120,44,130,121,43,118,106,37,150,149,50,202,197,79,203,199,81,184,191,66,190,197,64,210,204,79,180,168,69,88,75,29,30,19,10,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,31,59,77,73,139,160,82,157,161,82,173,155,67,172,173,42,142,151,53,141,132,69,168,146,79,171,178,55,140,150,40,161,132,
52,168,151,106,150,171,106,160,175,99,133,166,129,115,173,80,122,151,52,99,132,78,78,127,73,52,145,105,73,174,101,51,156,50,22,98,13,13,57,30,31,122,38,31,123,54,23,95,
46,21,85,22,19,78,14,15,63,14,14,59,5,5,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
3,1,3,8,2,7,7,2,6,3,1,3,0,0,0,3,1,3,8,2,6,9,2,8,8,2,6,9,2,5,11,3,9,11,3,8,10,3,4,9,2,5,9,2,8,10,3,9,
10,3,9,9,2,6,7,2,5,7,2,6,7,2,7,7,2,7,6,2,5,2,0,1,0,0,1,3,1,3,4,1,4,4,1,4,2,1,1,0,0,0,1,0,1,2,1,2,
2,1,2,2,1,3,2,1,2,2,0,2,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,1,0,1,
1,0,1,1,1,1,1,1,2,1,1,2,0,1,0,0,0,0,0,1,1,0,1,1,1,1,2,1,2,2,1,1,2,1,1,2,0,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,
1,1,1,1,1,1,2,1,1,2,1,1,2,1,1,2,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,2,2,1,1,1,1,
1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,3,2,3,7,
2,3,8,2,3,8,1,1,4,0,0,2,2,2,11,6,10,19,6,17,21,3,11,13,0,1,0,1,2,5,7,12,24,9,20,31,9,19,30,5,10,21,4,4,18,8,13,28,
10,19,38,5,8,20,0,0,0,0,0,2,5,7,18,5,7,20,1,1,3,0,0,0,2,3,9,4,6,16,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,1,0,1,1,0,2,3,1,6,10,2,7,11,3,7,10,3,2,3,0,0,0,0,6,9,2,7,12,3,8,12,3,11,15,4,19,23,6,23,28,7,23,28,7,
24,32,8,23,31,8,29,34,9,34,38,10,25,33,9,15,24,6,20,25,6,18,26,6,14,22,5,2,5,1,17,13,5,40,37,12,22,26,7,9,12,4,42,33,12,67,52,22,
43,46,14,63,69,18,121,107,38,136,126,48,118,105,38,125,125,40,189,186,68,205,201,82,191,194,72,189,198,64,207,206,77,198,188,78,117,104,40,43,29,15,3,1,2,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,5,6,16,46,87,108,78,147,165,82,159,155,80,177,159,60,163,171,42,140,148,61,156,141,70,171,153,76,166,180,43,139,134,37,160,131,
54,149,151,107,145,173,95,158,168,113,122,168,123,117,169,59,109,138,57,84,121,53,57,111,66,55,151,110,69,173,87,40,145,26,15,68,17,18,76,35,35,135,47,31,121,56,22,89,
37,21,87,17,17,74,15,15,64,11,11,48,2,2,13,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
6,1,6,9,2,7,6,1,5,0,0,0,0,0,0,5,2,5,9,2,8,8,2,7,7,1,5,11,3,8,12,3,10,11,3,7,10,2,4,8,2,6,9,3,8,10,3,9,
9,3,8,7,2,5,7,2,6,7,2,7,7,2,7,7,2,7,5,2,3,1,0,0,1,0,2,4,1,4,4,1,4,3,1,3,0,0,0,0,0,0,2,0,2,2,1,2,
2,1,2,2,1,2,2,1,2,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,
1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,1,1,2,1,2,2,1,1,2,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,2,1,2,2,1,2,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,1,2,2,1,
1,1,0,2,2,1,2,2,1,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,4,5,
3,5,8,2,3,8,2,2,7,0,0,1,1,1,4,4,5,15,6,13,21,5,15,18,2,5,6,0,0,0,4,5,14,8,17,29,8,19,30,7,14,25,4,5,16,5,6,20,
9,17,34,9,15,33,2,2,6,0,0,0,3,3,9,5,8,20,2,3,8,0,0,0,0,0,2,4,6,16,2,2,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,3,3,1,6,6,1,3,3,1,4,7,2,7,11,3,7,12,3,5,7,2,0,0,0,4,6,2,11,18,5,9,16,4,9,13,3,17,20,5,24,30,8,23,29,7,
24,31,8,23,32,8,25,32,9,34,38,10,30,36,9,17,26,6,17,24,6,19,26,6,16,26,6,7,11,3,8,6,2,37,31,12,21,26,7,6,14,3,17,15,5,74,57,23,
46,43,15,54,59,14,106,98,31,137,126,47,121,110,40,103,103,34,165,167,56,207,201,81,196,197,76,189,199,65,205,208,73,207,199,82,142,129,52,57,42,18,14,8,6,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,12,20,35,59,110,132,81,153,167,82,166,154,76,179,167,52,155,166,45,143,145,66,162,142,70,174,162,50,149,162,36,144,125,40,164,138,
69,138,154,111,149,174,92,150,165,121,103,167,105,112,158,47,98,132,59,74,118,43,46,112,83,66,164,111,60,168,74,33,131,16,13,54,23,25,102,42,38,141,62,31,121,53,21,86,
28,21,86,14,16,68,15,15,63,9,9,41,7,7,32,2,2,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,
8,2,7,8,2,7,4,1,4,0,0,0,3,1,2,7,2,6,9,2,8,8,2,6,8,3,5,12,3,10,12,3,11,11,3,5,9,2,5,8,2,7,10,3,9,10,3,9,
8,2,7,8,2,7,8,2,7,7,2,8,7,2,7,6,2,5,4,1,1,1,0,1,3,1,4,4,1,4,4,1,4,1,1,1,0,0,0,2,0,1,2,1,2,2,1,2,
2,1,2,2,1,2,1,0,2,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,
1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,1,1,2,1,1,2,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,2,2,1,2,2,1,2,1,1,2,1,0,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,2,1,
2,1,1,1,2,0,2,2,1,2,2,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,2,2,1,1,0,0,0,0,0,0,1,0,0,0,0,2,3,2,
4,6,7,2,4,8,2,4,9,1,2,5,0,0,1,3,2,8,5,9,17,6,17,21,4,12,14,1,1,1,1,1,5,7,11,23,8,19,30,8,17,29,4,8,14,2,2,9,
7,12,26,9,18,35,5,6,18,0,0,0,0,0,2,2,3,8,1,2,4,0,0,0,0,0,0,2,4,11,3,5,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,2,2,1,9,9,2,7,7,1,3,4,0,7,11,3,10,14,4,7,11,3,2,2,0,1,1,1,10,16,4,10,18,5,9,13,3,13,17,4,23,28,7,25,30,8,
23,29,7,23,32,8,22,30,8,32,36,10,33,37,10,21,30,8,17,24,6,21,26,6,17,26,6,11,18,4,2,3,1,30,24,11,32,32,10,9,17,4,9,11,2,65,51,19,
55,47,17,46,53,13,85,80,24,131,117,42,124,115,39,104,98,34,143,148,46,204,197,77,196,197,79,192,201,70,203,211,71,210,206,80,163,150,61,75,60,24,22,13,9,0,0,0,
0,0,0,0,0,0,0,0,0,2,0,3,25,41,61,69,129,149,83,160,168,84,179,164,71,181,176,46,152,162,50,146,142,71,169,145,65,169,166,42,145,152,38,152,127,41,159,143,
84,128,156,106,147,168,92,129,158,117,82,156,82,101,145,46,80,138,48,45,114,45,43,125,100,74,172,104,50,161,54,35,117,17,19,72,30,32,124,54,38,140,67,28,112,45,20,85,
21,20,82,14,14,64,13,13,56,8,8,38,9,9,40,2,2,9,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,1,5,
8,2,7,7,2,6,1,0,1,3,0,3,8,2,7,9,2,8,8,2,7,7,2,5,11,3,8,13,3,11,12,3,9,9,2,4,7,2,6,8,3,8,10,3,10,9,3,8,
8,2,6,8,2,7,8,2,7,7,2,7,7,2,6,5,2,3,1,0,0,2,1,3,5,1,5,4,1,4,3,1,3,0,0,0,0,0,1,2,1,2,2,1,2,2,1,2,
2,1,2,2,0,2,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,
0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,2,1,1,2,1,1,2,1,1,2,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,2,2,1,2,2,1,2,2,1,2,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,
2,1,0,2,1,0,1,1,1,2,2,1,2,2,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,3,2,1,2,2,1,0,0,0,0,0,0,0,0,0,1,0,0,
3,5,4,3,7,9,3,8,10,3,6,10,0,0,2,0,0,3,4,4,13,6,15,20,5,17,19,2,6,6,0,0,0,3,5,14,8,16,28,8,18,30,5,13,19,1,2,2,
4,6,16,8,17,32,7,13,28,1,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,6,16,1,1,5,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,7,7,1,9,9,2,3,3,1,6,10,2,13,15,4,9,13,4,3,5,1,0,0,0,6,9,2,10,17,4,9,14,4,10,15,4,20,24,6,25,30,8,
22,27,7,22,29,8,21,29,8,27,34,9,34,38,10,26,34,9,15,24,6,18,24,6,17,26,6,13,23,6,2,5,1,18,14,6,40,36,13,13,20,4,4,8,1,47,37,13,
61,49,20,42,47,13,61,59,17,100,88,31,111,106,35,107,98,34,124,130,40,195,189,70,201,200,82,197,204,74,202,212,70,206,207,75,178,167,68,94,78,31,32,21,12,3,3,1,
0,0,0,0,0,0,0,0,1,7,1,13,38,65,87,76,141,160,85,170,174,85,192,179,65,179,181,45,148,157,58,151,141,73,170,147,60,165,169,39,143,143,39,156,126,45,147,143,
98,124,160,95,139,155,86,104,147,92,65,136,54,93,133,45,60,140,34,26,108,57,51,142,109,73,173,93,44,154,39,35,104,19,23,89,37,36,137,62,36,136,62,25,101,39,23,93,
20,20,84,15,15,66,11,11,48,9,9,43,10,10,43,2,2,9,2,1,5,5,2,4,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,7,2,7,
9,2,7,4,1,3,3,1,2,9,3,7,10,2,9,8,2,7,7,2,6,9,2,6,13,3,11,13,3,11,10,3,6,7,2,5,7,2,7,10,3,10,10,3,10,8,3,7,
8,2,7,8,2,7,8,2,7,7,2,7,6,2,5,3,0,1,1,0,1,4,1,5,5,1,5,4,1,4,2,1,1,0,0,0,2,0,1,2,1,2,2,1,2,2,1,2,
2,1,2,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,
0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,1,1,2,1,1,2,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,2,2,1,2,2,1,2,1,0,2,1,0,1,1,0,1,1,0,2,2,0,
2,2,0,2,2,0,1,1,0,1,1,0,2,2,1,2,2,1,1,1,0,1,1,0,2,2,1,2,2,1,1,1,0,3,2,1,2,2,1,0,0,0,0,0,0,0,0,0,
1,2,1,4,8,8,6,10,12,5,10,13,2,3,6,0,0,1,2,1,8,6,9,17,6,17,21,3,13,14,0,1,2,1,0,3,5,9,19,8,17,28,7,17,26,2,6,8,
1,2,7,7,12,25,8,15,31,3,4,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,5,14,3,4,11,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,3,3,1,9,9,2,5,5,1,3,6,1,11,14,4,11,14,4,5,8,2,0,0,0,3,4,1,11,16,4,10,16,4,10,14,3,16,20,5,24,30,8,
22,27,7,19,24,6,20,28,7,25,32,9,34,38,10,30,36,10,16,24,6,13,18,5,18,24,6,13,22,6,3,7,1,9,6,3,43,36,14,15,19,5,0,2,0,25,21,6,
71,55,23,46,47,15,53,55,14,88,76,26,96,89,29,103,92,32,111,114,36,183,181,62,201,196,81,198,203,77,203,213,72,208,212,75,192,184,72,110,97,37,47,37,15,10,10,4,
0,2,2,0,2,2,2,1,4,14,12,30,50,88,111,80,150,166,87,178,176,83,196,186,61,173,180,47,145,152,63,157,141,70,172,157,55,159,169,36,140,131,37,154,122,53,134,133,
105,126,159,86,136,150,82,84,138,74,72,123,40,84,130,45,44,132,29,24,107,76,63,159,111,68,169,81,41,145,29,27,89,24,25,103,43,38,141,70,35,130,58,24,99,36,28,110,
23,24,96,15,15,66,9,9,41,13,13,57,12,12,51,5,6,23,8,6,25,7,3,8,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,3,8,2,7,
7,2,6,3,1,2,6,2,5,12,3,10,9,2,8,6,1,5,7,2,5,11,3,9,13,4,12,12,3,10,7,2,4,7,2,6,9,3,8,10,3,10,9,3,9,8,2,7,
8,2,7,8,2,7,7,2,7,7,2,6,5,2,3,2,0,0,2,1,3,5,1,5,5,1,5,3,1,3,1,1,0,1,0,1,3,1,3,3,1,3,2,1,3,2,1,2,
1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,0,1,1,0,1,2,1,1,2,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,2,2,1,2,2,1,2,1,0,2,2,1,1,1,0,2,2,0,
2,2,1,2,2,1,2,2,1,1,1,0,2,2,0,3,3,1,3,2,1,1,2,1,2,2,1,3,3,1,1,2,1,1,1,0,3,2,1,0,0,0,1,1,1,1,1,1,
0,0,0,4,5,5,7,11,12,8,11,13,4,8,11,0,0,3,0,0,3,3,4,13,6,14,20,5,17,19,2,6,6,0,0,0,1,2,8,7,13,23,9,19,26,4,11,15,
0,1,3,3,5,14,6,11,23,4,6,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,9,4,5,16,1,1,2,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,1,8,8,2,8,8,2,2,3,1,8,12,3,14,17,5,9,12,3,3,4,1,6,6,2,14,17,4,13,19,5,10,15,3,13,18,5,23,28,8,
24,29,8,18,23,5,21,27,7,26,32,9,33,38,10,33,38,10,19,27,7,11,16,4,16,22,5,12,19,5,3,6,1,1,1,1,40,31,13,25,26,8,0,3,0,11,9,2,
60,46,19,46,42,16,51,56,14,84,72,24,79,66,25,73,59,22,98,98,33,163,166,54,197,190,74,197,199,77,203,212,73,210,217,75,204,200,76,125,116,46,50,42,14,16,15,6,
4,17,17,3,17,16,7,17,23,25,46,66,61,112,134,81,156,170,87,183,178,79,194,187,56,165,176,45,140,145,54,150,137,63,166,159,47,151,161,36,144,126,37,155,120,68,127,135,
108,131,161,76,127,143,77,65,127,58,63,108,38,65,130,38,29,111,34,29,113,93,73,169,107,56,164,65,39,131,19,23,80,28,30,119,56,40,145,82,34,130,57,27,109,32,30,116,
22,22,91,14,14,58,9,9,39,15,15,64,10,10,42,8,8,35,12,8,34,4,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,7,2,6,9,2,7,
6,1,5,2,1,2,9,3,8,12,3,10,7,1,6,6,1,5,7,2,6,13,4,11,13,4,12,8,2,7,5,1,4,7,2,7,10,3,9,10,3,9,8,3,7,8,2,6,
8,2,7,8,2,7,7,2,7,7,2,5,3,1,1,2,1,2,5,1,5,5,1,5,4,1,4,3,1,1,1,0,0,2,1,2,3,1,3,3,1,3,2,1,3,1,0,1,
0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,1,2,0,1,2,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,2,2,1,2,1,0,2,2,1,2,2,1,1,1,0,
2,2,1,2,2,1,2,2,1,2,2,1,2,1,0,3,3,1,3,3,1,3,2,1,2,3,1,3,2,1,3,2,1,1,1,0,3,2,1,3,2,1,2,3,2,4,4,4,
0,1,1,1,1,1,5,9,9,8,11,13,7,11,14,2,4,7,0,0,1,2,2,7,7,11,17,7,18,21,4,11,13,0,1,1,0,0,1,5,7,15,10,17,22,6,14,19,
1,4,5,1,0,3,3,4,11,4,5,14,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,3,7,0,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,5,6,1,9,9,2,3,4,1,6,9,2,16,19,5,14,17,5,8,10,3,10,10,3,16,17,4,17,22,6,12,17,4,17,20,5,23,27,7,
26,32,9,21,26,6,23,27,7,28,34,9,33,37,10,34,38,10,22,30,8,10,16,4,15,18,5,13,21,5,5,10,2,0,0,0,31,24,9,34,33,11,3,7,2,3,3,0,
46,35,13,37,32,13,45,54,13,79,69,23,74,56,25,50,38,16,78,78,25,141,146,44,196,190,71,197,198,77,202,210,74,208,217,73,206,205,74,140,132,50,56,52,17,25,22,9,
6,26,26,5,25,25,12,34,43,38,80,99,69,130,150,83,162,172,86,189,179,75,192,188,54,166,176,44,144,147,45,143,136,46,152,159,42,145,153,36,146,117,37,148,114,85,118,137,
104,137,161,69,112,135,66,49,109,45,49,97,37,37,123,32,21,97,44,41,127,103,76,173,99,48,157,50,36,114,17,22,81,33,34,132,72,41,148,88,35,130,52,31,119,28,29,113,
20,20,82,11,11,48,9,9,43,16,16,65,7,7,32,9,9,38,11,5,22,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,7,2,5,12,3,10,12,3,10,
6,1,5,4,1,3,11,3,10,10,3,9,8,2,6,7,1,5,9,2,8,13,4,13,12,4,11,5,1,4,5,1,5,8,2,7,10,3,9,10,3,9,8,2,7,8,2,7,
8,2,7,7,2,7,7,2,7,5,2,4,2,1,1,4,1,4,5,1,5,5,1,5,3,1,2,1,1,0,1,0,1,2,1,3,2,1,3,2,1,3,1,0,2,0,0,0,
0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,1,1,2,1,1,2,1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,2,1,0,2,1,0,2,2,1,1,2,1,
1,1,0,2,2,1,2,2,1,2,2,1,2,2,1,3,2,1,3,3,1,3,3,1,2,3,1,2,3,1,3,2,0,3,3,1,4,4,3,4,4,3,2,3,2,4,6,5,
3,4,4,0,0,0,2,5,6,7,11,13,8,12,14,4,8,11,0,1,2,1,0,3,6,8,13,8,17,20,5,16,18,1,5,5,0,0,0,2,3,8,8,14,19,8,16,19,
3,9,10,0,0,0,0,0,1,2,4,10,2,2,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,2,2,1,9,9,2,6,6,1,3,5,1,14,17,4,18,21,5,11,14,4,11,13,3,17,18,5,21,24,6,14,19,5,17,21,5,22,25,6,
26,32,9,24,31,8,22,26,6,28,33,9,32,36,10,34,36,10,25,30,8,11,17,4,12,16,4,15,22,5,8,14,4,0,1,0,19,15,5,42,36,14,8,12,3,1,1,0,
29,22,8,31,25,9,37,46,11,72,68,20,87,65,28,45,34,15,62,61,19,117,124,37,189,185,67,196,194,76,200,207,75,208,217,74,209,211,73,161,153,60,69,64,22,32,26,11,
4,23,22,6,25,25,17,43,56,47,100,120,74,140,158,84,169,174,85,191,180,70,186,186,54,167,175,38,141,146,33,135,137,43,152,167,39,142,143,33,139,98,38,126,100,96,115,147,
95,139,156,68,98,130,66,49,104,37,48,100,38,30,120,29,21,92,47,43,139,92,60,166,84,42,148,38,31,99,20,23,92,42,38,142,84,41,149,81,34,129,44,32,123,25,27,106,
18,18,75,9,9,42,12,12,52,14,14,57,7,7,30,11,9,39,8,3,12,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,8,3,6,12,3,9,13,3,11,13,3,11,
5,2,4,8,2,7,13,3,12,10,2,9,10,3,9,9,2,7,11,3,10,13,4,13,9,3,9,4,1,3,6,2,6,10,3,9,10,3,10,9,3,8,8,2,6,8,2,7,
8,2,7,7,2,7,7,2,6,4,1,1,2,1,2,5,1,5,5,1,5,4,1,4,3,1,1,1,0,0,1,1,2,2,1,3,2,1,3,1,1,2,0,0,0,0,0,0,
1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,
0,0,0,0,1,2,1,1,2,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,2,1,1,2,2,1,
1,1,1,2,1,0,2,2,1,2,2,1,2,2,1,2,1,0,3,3,1,3,3,1,3,3,1,2,3,1,2,2,0,3,3,2,5,5,5,6,5,4,4,4,2,3,5,4,
5,6,6,1,1,1,0,1,1,5,9,10,8,11,13,7,10,13,1,3,6,0,0,1,3,3,6,9,14,17,8,18,20,3,10,11,0,0,0,1,1,4,6,11,19,9,16,20,
5,13,15,0,2,3,0,0,0,2,2,7,3,4,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,1,0,8,8,2,8,8,2,3,3,1,10,12,3,19,21,5,14,18,5,12,16,4,17,18,5,21,23,6,16,21,5,15,19,5,21,24,6,
25,30,8,26,32,9,21,26,6,26,31,8,30,35,10,33,36,10,28,31,8,13,20,5,11,15,4,16,22,5,11,17,5,2,4,1,10,8,3,42,34,12,15,19,5,0,2,1,
18,14,4,32,26,10,32,39,10,62,63,17,89,68,28,53,39,18,56,50,17,100,106,31,174,169,58,196,193,77,201,207,76,208,218,75,212,217,75,180,175,68,88,83,29,45,42,14,
5,26,26,7,27,30,23,52,69,53,105,126,78,148,165,86,180,181,83,193,182,65,182,185,52,165,173,35,136,139,33,134,136,41,147,160,36,139,129,31,133,88,40,108,92,90,118,144,
77,134,143,48,75,106,41,31,75,32,41,106,40,28,116,26,22,94,49,39,147,78,41,155,71,39,136,28,26,88,24,27,107,51,40,147,90,39,143,72,33,126,37,31,120,22,23,93,
14,14,59,9,9,39,15,16,64,12,13,51,8,8,33,12,8,35,5,2,5,0,0,0,0,0,0,0,0,0,0,0,0,3,1,3,11,3,9,14,4,12,13,3,12,10,2,10,
4,1,3,12,3,10,13,3,12,11,3,9,11,3,9,10,3,8,13,4,12,13,4,13,7,2,5,5,1,4,8,2,7,11,3,10,10,3,10,8,3,7,8,2,7,8,2,7,
8,2,7,7,2,7,5,2,4,2,0,1,3,1,4,5,1,5,5,1,5,4,1,3,2,0,0,2,0,1,3,1,2,2,1,3,2,1,2,0,0,1,0,0,0,0,0,0,
1,0,1,1,1,1,1,2,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,
0,1,1,1,1,2,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,1,1,0,2,1,1,
2,1,1,1,1,0,2,2,1,2,2,1,2,2,1,1,1,0,2,2,1,3,3,1,3,3,1,2,3,1,2,3,1,3,3,1,5,5,3,6,6,5,6,6,2,4,5,3,
5,7,6,3,4,4,3,2,1,6,7,6,8,11,12,8,11,13,4,7,10,0,0,2,0,0,0,7,9,9,12,19,19,6,17,17,1,4,4,0,0,0,3,6,14,9,15,20,
6,15,17,2,6,7,0,0,0,1,1,3,3,4,12,1,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,2,1,2,4,1,5,6,2,9,9,2,4,4,1,6,8,2,17,20,5,18,21,6,13,17,4,15,18,4,20,22,6,19,23,6,13,18,5,19,23,6,
24,28,7,27,33,9,21,26,7,24,29,7,30,35,9,33,36,10,31,33,9,17,24,6,10,14,4,15,18,5,9,15,4,3,4,1,3,2,1,40,32,13,24,25,8,0,3,1,
16,13,4,37,27,12,30,36,10,56,62,16,92,73,28,60,44,21,49,41,15,86,88,25,164,161,53,195,191,75,202,207,79,210,218,76,215,221,75,196,192,73,116,114,42,70,75,20,
5,24,24,8,28,32,28,63,81,59,114,135,81,161,175,89,191,189,80,195,187,62,178,184,51,161,169,34,132,135,35,142,142,37,146,147,34,135,113,29,126,81,46,104,99,79,113,135,
50,112,115,22,46,74,13,10,47,30,29,108,39,26,108,26,25,103,58,41,154,77,39,150,61,38,126,22,23,85,29,31,123,63,42,150,92,39,142,63,34,129,31,30,115,15,16,67,
7,7,32,9,10,41,20,25,83,12,14,50,9,8,37,12,6,26,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,6,1,4,12,4,10,16,4,13,14,3,12,8,1,7,
6,2,4,14,4,12,12,3,10,11,3,9,11,3,8,10,3,9,13,4,12,12,4,11,5,1,4,5,1,5,9,2,8,11,3,10,9,3,8,8,2,7,8,2,7,8,2,7,
6,2,7,6,2,6,4,1,2,2,0,2,4,1,5,5,1,5,5,1,4,3,1,1,2,0,0,3,1,2,3,1,2,2,1,2,0,0,1,1,0,1,1,0,1,0,0,1,
0,0,1,2,2,1,2,3,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,
1,1,0,1,1,0,1,1,0,2,2,1,2,2,1,2,2,1,1,1,0,3,3,1,3,3,1,3,3,1,2,3,1,3,3,1,4,4,2,6,6,5,6,6,4,6,6,2,
6,7,5,5,6,6,4,4,3,8,8,6,9,11,11,8,11,13,6,10,13,1,2,5,0,0,0,3,4,3,12,16,16,9,19,20,2,9,9,0,0,0,1,2,7,6,11,17,
7,14,13,2,9,10,0,1,1,0,0,0,3,5,10,5,9,9,3,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,2,4,1,4,8,2,4,6,2,9,9,2,9,9,2,5,7,2,15,17,5,21,23,6,16,19,5,14,18,4,19,20,5,21,25,6,13,19,5,17,21,5,
21,25,6,27,32,9,24,28,8,22,27,7,29,34,8,32,36,10,32,35,9,22,27,7,9,15,4,11,13,3,7,9,3,1,1,1,0,0,0,34,26,11,27,23,10,0,1,0,
5,4,1,38,27,11,27,27,9,36,44,10,80,65,24,75,54,27,44,36,14,79,78,26,152,149,48,191,185,70,201,204,79,211,219,78,217,223,76,207,206,76,137,135,52,71,83,23,
5,23,22,10,32,38,34,74,94,65,127,146,84,171,182,91,202,197,78,197,192,60,175,183,50,155,162,35,133,136,36,144,145,36,142,140,32,129,100,27,113,74,54,102,106,77,106,130,
35,83,90,8,23,47,10,8,46,33,27,115,35,24,101,29,28,115,65,42,157,78,39,146,50,36,115,22,25,95,35,37,139,74,43,152,93,41,145,57,36,134,27,28,107,15,11,46,
2,2,7,12,13,51,22,29,90,10,12,45,10,9,38,11,7,25,3,3,9,4,1,6,3,1,3,0,0,0,0,0,0,8,2,6,15,4,11,16,4,13,11,3,10,4,1,3,
8,2,7,14,4,12,11,3,10,11,3,9,10,3,8,12,3,10,13,4,12,9,2,8,4,1,3,7,2,6,10,3,9,10,3,9,8,3,7,8,2,7,8,2,7,7,2,7,
6,2,6,6,2,4,3,1,2,3,1,3,5,1,5,5,1,4,4,1,2,3,1,1,2,0,1,3,1,2,3,1,2,1,0,1,0,0,0,1,0,1,1,0,1,0,0,1,
0,1,0,2,3,1,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,
1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,
1,1,0,1,1,0,1,1,0,2,2,1,2,2,1,2,2,1,1,1,0,1,1,0,3,3,1,3,2,1,2,3,1,3,3,1,4,3,1,4,4,4,6,6,5,6,6,2,
5,7,4,5,7,6,5,5,4,8,8,6,9,11,10,8,11,13,8,11,13,5,7,9,5,3,2,2,2,1,9,11,10,11,19,19,4,11,13,0,0,0,0,0,2,4,5,9,
7,11,8,4,11,10,0,3,3,0,0,0,1,2,4,9,15,9,8,13,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,2,2,1,5,8,2,4,6,2,8,8,2,13,13,3,9,10,2,11,14,4,20,22,6,19,22,6,18,21,5,20,22,6,22,25,6,15,20,5,14,18,4,
19,21,5,26,31,9,25,31,8,21,26,7,27,32,8,30,36,10,31,34,9,22,27,7,10,17,5,9,11,3,6,6,1,0,0,0,0,0,0,23,18,6,32,23,11,1,0,0,
1,3,0,35,26,10,24,17,8,9,12,3,55,43,14,85,63,27,45,34,15,76,72,23,135,133,43,186,178,66,196,196,77,209,216,79,217,224,77,214,215,77,159,159,61,72,86,23,
6,25,24,14,38,48,40,83,105,70,134,153,87,179,187,90,204,199,73,193,191,57,172,180,47,151,157,34,133,135,35,139,141,36,139,134,29,122,88,27,111,77,62,102,116,71,109,123,
26,66,77,7,13,40,14,13,60,39,30,123,30,22,94,35,32,128,71,42,157,76,38,142,40,32,104,21,24,97,40,38,142,83,43,150,86,39,142,49,36,133,28,26,103,24,12,55,
6,4,19,16,18,67,21,26,84,9,9,40,11,9,37,13,9,35,8,7,31,11,8,24,8,7,20,1,1,2,2,1,1,11,3,8,15,4,12,15,4,13,8,2,7,3,1,2,
12,3,10,14,4,12,10,3,9,11,3,9,11,3,9,13,3,11,13,3,12,6,2,5,4,1,4,7,2,7,10,3,9,10,3,8,7,2,6,8,2,7,8,2,7,7,2,7,
6,2,5,5,1,3,3,1,2,3,1,3,4,1,4,4,1,3,4,1,2,2,1,2,3,1,2,3,1,2,2,1,2,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,
2,2,0,2,3,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,1,1,0,1,1,0,1,1,0,2,2,1,2,2,1,2,2,0,1,1,0,3,2,1,3,2,1,3,3,1,2,3,1,3,3,1,4,4,3,5,5,4,6,6,4,
6,6,2,5,7,5,5,6,5,6,6,5,9,10,9,9,12,12,8,11,13,9,11,11,10,9,4,7,5,1,6,7,6,11,16,16,5,12,14,0,2,2,0,0,0,1,2,6,
6,9,7,5,12,8,1,6,6,0,0,0,0,0,0,6,10,3,11,17,4,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,0,4,7,1,5,8,2,6,6,2,13,13,3,11,11,2,8,11,2,19,21,6,21,23,6,22,24,6,22,24,6,22,24,6,18,23,6,14,19,4,
18,19,4,24,29,7,26,33,9,19,23,6,25,29,7,30,35,9,28,32,9,20,25,6,11,19,5,10,13,4,7,7,1,0,0,0,0,0,0,15,12,4,43,31,13,6,4,3,
0,1,0,28,22,7,26,18,9,0,0,0,35,29,9,91,69,30,46,34,16,66,63,19,125,122,39,175,166,59,190,188,73,207,213,78,217,224,77,215,218,78,168,168,64,80,92,25,
5,21,22,17,42,55,47,93,116,75,145,163,87,185,191,87,202,197,69,190,192,57,170,179,44,145,151,32,132,133,33,133,135,32,126,115,27,117,80,32,109,80,71,103,126,65,108,119,
20,55,71,7,9,36,18,17,74,37,27,112,27,21,88,44,37,139,75,42,155,72,39,138,30,29,94,23,25,102,45,38,142,89,43,150,80,39,140,41,35,129,30,26,103,27,16,68,
8,8,36,21,24,81,22,23,75,10,9,37,13,9,37,15,9,39,11,7,32,16,13,37,14,12,33,5,1,6,7,2,5,15,4,12,16,4,13,15,4,12,7,2,5,4,1,3,
14,4,13,14,3,12,10,2,9,12,3,10,12,3,10,13,3,12,11,2,10,4,2,3,6,1,5,8,2,8,10,3,8,8,2,6,7,2,6,8,2,7,7,2,7,6,2,6,
6,2,4,5,1,2,3,1,2,3,1,3,4,2,4,5,2,3,4,1,2,2,1,2,3,1,2,3,1,2,1,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0,
2,3,1,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,2,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,2,2,1,2,2,1,1,1,0,1,2,1,3,2,1,3,2,1,2,3,1,2,3,1,4,3,1,5,5,4,6,6,4,
6,6,2,5,7,4,5,7,6,5,6,5,9,8,7,9,11,11,9,11,13,10,12,12,11,10,4,10,8,2,7,6,3,11,14,11,7,14,13,1,3,4,0,0,0,1,1,4,
6,8,9,7,13,7,2,9,9,1,1,1,0,0,0,3,5,1,11,18,5,4,7,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,0,3,5,1,5,8,2,5,5,1,12,11,3,12,12,3,7,10,2,16,19,5,21,23,6,22,24,6,23,24,6,22,23,6,21,26,7,16,22,5,
16,19,4,22,25,7,28,34,9,19,22,6,21,24,6,30,35,9,27,32,9,20,25,6,12,20,5,9,14,4,10,10,2,2,2,0,0,0,0,9,7,2,37,27,11,9,6,4,
0,0,0,21,18,5,36,26,12,1,0,1,21,19,5,83,64,24,51,36,16,54,51,17,115,115,35,164,157,53,187,182,70,206,212,80,217,224,79,216,221,78,176,178,65,89,100,28,
6,23,25,21,47,62,54,115,134,81,164,178,86,186,192,83,198,196,67,186,193,56,168,176,40,140,144,31,128,129,29,119,121,29,116,100,27,117,76,38,106,88,74,105,128,56,100,107,
15,43,64,6,6,31,17,16,71,34,21,91,22,18,77,49,38,144,76,40,150,66,38,132,25,26,88,26,28,113,55,39,144,98,44,150,77,39,140,35,33,125,33,25,101,26,16,68,
9,10,45,27,29,97,25,22,72,10,9,37,16,10,40,20,11,45,13,8,32,20,15,43,16,10,31,7,1,5,12,3,9,18,4,15,16,4,14,14,4,11,5,1,4,7,2,6,
15,4,14,12,3,11,11,3,9,12,3,10,12,3,10,13,3,12,9,2,8,4,1,3,7,1,6,10,3,8,9,3,7,6,1,5,7,2,6,7,2,7,7,2,6,6,2,5,
5,1,3,3,1,2,3,1,2,6,4,5,8,7,5,5,3,3,3,1,2,3,1,2,3,1,2,3,1,2,1,1,2,1,4,2,1,1,1,1,0,1,0,0,0,1,2,1,
2,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,0,1,2,0,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,2,2,1,3,2,1,2,3,1,2,3,1,3,3,1,5,4,3,6,6,5,
6,6,5,5,6,4,5,7,6,6,7,5,7,7,6,9,10,10,9,11,12,11,12,13,11,10,7,11,9,2,9,8,2,11,14,6,11,17,13,3,6,7,0,0,0,0,0,2,
8,8,9,11,14,7,4,11,10,3,7,3,2,4,1,2,2,1,11,16,4,7,10,3,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,4,4,1,4,5,1,5,8,2,4,6,2,9,9,2,14,14,3,10,11,3,13,16,4,21,22,6,22,24,6,23,25,6,22,23,6,22,25,7,16,23,6,
16,19,5,20,23,6,27,33,9,21,26,6,20,22,5,30,34,9,28,34,9,22,26,7,12,18,4,6,12,3,9,10,2,3,3,1,0,0,0,5,4,1,33,25,9,15,10,5,
0,0,0,13,11,3,37,28,11,3,1,2,8,8,2,55,42,15,37,26,13,33,31,12,99,101,32,154,148,48,179,173,64,204,208,79,218,224,80,217,223,78,190,190,69,109,117,36,
8,24,29,26,59,78,63,136,154,84,174,187,84,184,191,79,194,195,66,183,192,51,153,162,36,130,135,31,128,129,28,114,114,28,115,94,25,112,73,44,103,97,75,89,124,47,80,94,
12,34,56,5,5,27,18,15,63,29,15,64,16,16,68,53,36,140,77,38,146,58,38,124,21,24,86,29,31,123,65,42,149,107,45,152,70,38,140,31,31,120,33,24,96,20,14,60,
12,13,55,32,34,107,23,19,68,10,8,38,21,14,51,23,17,57,15,10,36,20,16,43,15,7,23,6,1,4,14,4,12,18,4,15,15,4,14,13,3,9,4,1,2,11,3,9,
16,4,14,11,3,10,11,3,9,12,3,10,12,3,11,13,3,11,6,2,5,5,1,4,7,2,7,10,3,8,8,2,6,5,1,5,7,2,6,7,2,7,7,2,5,6,1,4,
4,1,3,3,1,2,3,1,3,8,8,6,10,11,6,5,4,3,3,1,2,3,1,2,3,1,2,2,0,2,1,3,2,1,4,2,1,1,1,1,0,0,0,1,0,2,3,1,
2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,2,3,1,1,2,0,0,0,0,0,0,0,1,2,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,1,1,1,1,1,0,0,2,1,0,3,2,1,2,2,1,2,3,1,3,4,2,4,4,2,5,5,5,
6,6,6,5,6,5,6,7,5,6,8,6,7,7,5,9,9,8,7,11,11,10,12,13,12,12,9,11,11,5,10,10,4,10,12,3,15,18,12,8,11,10,0,0,1,0,0,0,
6,5,8,12,14,8,4,10,6,7,12,5,7,12,3,1,2,1,8,13,3,9,14,3,0,1,1,0,0,0,0,0,0,4,7,2,4,6,2,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,4,4,1,5,5,1,4,8,2,4,7,1,7,7,2,16,16,5,14,14,4,12,15,4,21,23,6,22,24,6,22,25,6,22,24,6,22,24,6,17,24,6,
15,19,5,18,20,5,26,32,9,24,30,8,17,20,4,28,32,8,29,35,9,22,27,7,11,13,3,3,5,2,7,7,2,6,6,2,0,0,0,1,1,0,32,24,9,26,17,9,
0,0,0,9,8,2,32,24,10,7,3,4,2,2,0,40,30,12,20,14,7,6,7,3,72,78,23,134,131,42,161,155,54,199,202,74,218,224,81,220,225,79,198,201,72,127,137,45,
9,23,30,32,70,90,70,154,169,86,183,194,82,182,190,75,190,193,63,177,186,49,145,153,35,127,133,33,132,134,29,113,113,23,96,78,22,96,63,37,92,85,59,76,104,30,62,75,
11,27,52,4,4,23,18,13,58,22,11,50,18,16,70,58,36,139,75,37,142,47,35,114,19,23,86,33,34,130,79,44,151,108,44,150,61,37,137,30,30,117,34,23,92,16,11,53,
17,20,70,34,35,108,18,14,55,11,9,40,26,20,63,27,22,65,17,11,37,20,16,42,12,4,16,7,2,4,17,5,13,19,7,20,18,8,25,11,3,10,4,1,2,15,4,13,
16,4,14,11,3,9,11,3,9,11,3,10,12,3,11,11,3,10,5,2,4,5,1,4,8,2,7,9,3,8,6,2,5,4,1,4,7,2,6,6,2,6,5,1,4,5,1,3,
4,1,2,3,1,2,4,2,4,11,12,6,10,12,5,4,2,2,3,1,2,3,1,2,3,1,2,2,1,2,1,4,2,1,2,2,1,0,0,1,0,0,1,1,0,2,3,1,
2,2,1,1,2,0,1,0,0,0,0,0,0,0,0,2,2,1,2,3,1,1,1,0,1,0,0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0,1,1,0,0,1,1,
1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,0,2,2,1,1,2,1,2,3,2,3,5,3,4,4,2,5,5,3,
6,6,6,6,6,5,5,7,5,7,8,6,7,7,5,8,8,6,7,9,10,9,12,13,12,13,11,12,13,8,11,12,6,9,10,2,15,18,9,12,16,12,1,3,3,0,0,0,
3,3,6,12,13,9,6,8,2,6,10,3,9,14,4,2,3,1,6,8,2,10,16,4,1,3,1,0,0,0,0,0,0,5,9,2,8,12,3,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,3,3,1,6,6,2,6,8,2,5,8,2,7,8,2,17,17,5,17,17,4,11,13,4,21,23,6,24,25,7,22,24,7,22,24,7,22,24,6,19,24,6,
14,17,4,16,16,4,25,29,8,25,31,9,15,18,4,24,28,7,30,35,9,25,29,7,11,12,3,0,1,0,5,5,2,8,8,2,0,0,0,0,0,0,30,24,8,32,23,11,
0,0,0,4,4,1,38,30,10,15,9,6,0,0,0,33,25,9,27,18,9,1,4,0,59,65,17,130,125,40,152,147,49,193,195,70,218,224,83,221,226,79,206,209,76,145,154,54,
11,28,38,38,83,104,76,166,180,88,188,198,80,181,190,74,189,193,61,170,180,46,138,146,35,129,134,34,132,136,29,114,113,22,92,72,20,87,56,25,86,73,26,64,73,14,57,56,
11,21,48,5,4,25,22,14,64,23,11,49,22,20,83,64,37,143,69,36,136,31,30,98,19,23,90,38,36,136,89,44,151,103,42,148,52,36,134,32,32,118,36,25,94,14,12,56,
24,29,90,35,36,107,14,11,47,14,11,48,30,24,71,28,19,60,19,12,39,18,14,39,11,3,12,10,3,7,20,5,16,22,10,30,20,13,35,9,3,12,5,2,4,16,4,14,
14,3,13,10,3,9,12,3,10,10,3,8,12,3,11,10,2,9,3,1,3,4,1,4,8,2,7,9,3,8,4,1,3,5,1,4,7,2,6,6,2,4,3,1,2,3,1,2,
2,1,1,3,1,2,5,5,5,12,14,6,8,9,3,3,1,2,3,1,2,3,1,2,2,1,2,1,1,2,2,4,3,2,2,2,1,0,0,0,0,0,1,1,1,3,4,1,
3,4,1,3,3,1,1,0,0,0,0,0,1,2,1,2,3,1,1,2,0,1,1,0,1,1,0,1,2,0,1,2,0,2,2,0,2,2,0,1,2,0,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,2,1,1,1,2,2,1,3,3,2,4,3,3,4,3,3,4,3,
5,5,5,6,6,6,5,7,6,6,8,6,6,7,5,7,7,6,8,9,9,8,11,12,11,12,12,12,13,8,12,13,7,8,9,3,12,15,7,14,17,13,2,5,5,0,0,0,
1,1,3,11,11,10,7,9,3,4,7,1,10,15,3,3,6,1,3,5,1,10,17,4,4,6,1,0,0,0,0,0,0,4,6,1,8,14,3,1,2,1,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,0,6,7,2,10,10,3,8,11,2,9,10,2,17,17,5,19,19,5,10,11,3,19,20,5,25,26,7,23,25,6,22,24,6,22,24,6,20,25,6,
14,18,4,14,14,3,23,25,7,25,31,8,13,16,4,19,23,6,29,34,9,27,32,9,14,16,4,1,1,0,4,4,1,8,8,2,1,1,0,0,0,0,18,15,5,35,26,11,
2,1,1,1,1,0,35,27,10,21,13,9,0,0,0,28,22,8,31,21,10,2,4,1,44,51,13,118,116,36,148,141,47,187,189,68,217,223,83,220,226,79,210,213,77,155,162,57,
13,32,44,44,94,114,79,174,186,88,189,198,81,182,189,73,189,193,59,167,176,43,136,144,35,131,135,33,129,135,28,110,107,21,88,66,21,91,58,20,82,68,12,57,53,11,51,47,
8,13,34,6,6,30,25,15,70,16,9,42,27,23,92,67,36,143,62,35,130,24,28,89,23,25,100,44,39,143,98,45,151,96,41,145,45,36,132,35,37,120,36,29,96,16,15,62,
33,37,108,35,34,104,12,10,43,19,14,57,34,27,80,27,16,54,20,13,40,19,12,37,12,3,10,15,4,12,21,5,19,22,12,35,20,14,36,8,2,8,8,2,6,17,4,15,
13,4,12,11,3,9,11,3,10,9,3,8,12,3,11,8,3,7,2,0,1,2,1,2,8,2,6,8,2,6,3,1,2,6,1,5,7,2,6,4,1,3,2,1,1,1,1,2,
2,1,2,3,1,3,8,8,5,12,14,6,6,5,3,3,1,2,3,1,2,3,1,2,2,0,2,1,3,3,3,5,3,3,3,2,1,0,0,0,0,0,2,3,1,3,4,1,
3,4,1,2,2,1,0,0,0,0,0,0,2,2,1,2,3,1,1,2,0,1,1,0,1,2,0,1,2,0,1,1,0,2,2,0,1,2,0,1,1,0,1,1,0,1,1,1,
1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,2,2,1,3,3,1,4,3,2,4,3,3,4,3,
4,5,4,6,6,6,5,7,6,6,8,6,6,8,5,7,7,5,9,8,8,7,9,10,10,10,11,12,13,6,12,13,8,9,10,4,12,15,8,15,18,12,7,9,7,1,1,0,
0,0,2,9,9,10,10,11,5,3,5,1,10,15,3,6,9,3,6,6,1,11,17,4,6,9,3,0,0,0,0,0,0,2,3,1,9,15,3,3,3,1,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,0,6,6,1,11,11,3,11,14,4,12,13,3,17,17,4,19,19,5,10,10,2,15,15,4,25,27,7,23,25,6,22,25,6,23,25,7,24,27,8,
15,20,5,13,14,3,19,21,5,24,29,7,14,16,4,16,19,5,29,35,9,27,32,9,17,19,5,3,3,0,2,2,1,5,5,1,1,1,0,0,0,0,13,11,3,36,26,11,
5,2,3,0,1,0,24,20,6,24,16,9,0,0,1,20,16,6,35,24,11,1,1,1,39,46,11,117,117,35,144,135,45,180,180,64,216,222,82,221,226,80,212,216,76,168,174,62,
17,43,58,48,111,129,82,183,193,87,188,198,80,183,189,71,189,194,57,162,172,41,132,140,32,125,129,30,116,122,26,103,98,20,84,62,21,88,55,17,70,61,9,42,35,5,21,15,
2,4,12,7,7,32,23,14,63,14,8,39,28,21,87,69,35,138,58,36,126,21,27,85,25,27,109,50,40,146,104,45,152,88,40,143,39,34,129,37,38,119,32,25,89,17,17,64,
38,42,116,32,31,97,11,9,40,22,17,64,35,27,82,25,14,50,22,15,44,20,11,34,14,3,10,18,5,14,22,6,20,23,15,39,18,12,32,5,1,4,10,3,8,16,4,15,
11,3,9,10,2,8,9,3,8,10,3,8,12,3,11,7,2,6,0,0,0,2,1,1,8,2,6,6,2,5,3,1,2,6,2,5,7,2,6,4,1,2,2,1,2,1,0,2,
2,1,2,4,1,3,10,10,6,11,13,5,5,4,2,4,3,3,3,1,2,3,1,2,2,1,2,2,4,3,4,5,3,3,3,2,1,0,0,1,1,0,2,4,1,3,4,1,
3,3,1,2,2,1,0,2,1,1,2,1,2,2,1,1,2,0,1,1,0,2,2,0,2,2,0,1,1,0,2,1,0,1,2,0,1,1,0,1,1,0,1,1,1,1,1,1,
1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,2,2,1,2,2,1,3,3,2,3,3,3,3,2,
4,4,4,6,6,6,6,7,6,6,8,6,6,8,5,7,7,5,9,8,7,7,8,9,7,7,9,11,11,6,13,13,7,11,12,6,12,16,10,16,19,14,13,14,10,6,5,2,
0,0,0,7,7,9,13,15,8,3,7,1,8,13,3,8,12,3,10,9,3,13,17,4,7,12,3,0,0,0,0,0,0,1,2,1,9,14,3,4,7,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,5,5,1,9,10,3,13,15,4,14,15,4,16,16,4,20,19,5,12,13,4,12,12,3,26,27,8,26,27,8,23,25,7,24,25,7,26,29,8,
16,22,6,13,14,3,16,17,4,23,28,7,16,19,4,14,16,4,28,33,9,27,31,8,17,19,5,4,4,1,0,0,0,0,0,0,0,0,0,0,0,0,13,11,3,35,25,11,
9,5,4,0,0,0,26,22,6,30,21,10,0,0,1,16,14,4,39,29,12,3,1,2,18,24,5,98,96,28,149,136,46,170,171,59,214,220,79,223,226,81,214,218,75,178,184,65,
27,75,90,59,145,159,85,193,202,88,195,204,79,187,192,69,185,192,54,154,167,38,123,131,28,110,114,25,95,103,27,100,93,21,81,58,16,68,45,11,41,40,1,6,7,0,0,0,
1,1,3,9,8,38,15,11,48,7,6,28,32,22,90,69,34,136,53,35,121,19,25,82,26,28,112,56,39,144,104,44,150,77,38,137,35,33,123,39,37,117,28,22,82,19,19,69,
41,46,123,31,30,91,13,9,41,27,19,69,35,28,81,26,17,54,23,17,46,22,12,35,15,5,15,19,5,15,22,7,23,24,15,42,16,10,27,4,1,3,13,3,10,15,4,13,
8,2,6,8,2,6,8,2,6,10,3,9,11,3,10,5,2,4,0,0,0,3,1,2,8,2,6,5,1,5,2,0,2,6,1,4,5,1,4,3,1,2,2,0,2,2,0,2,
2,1,2,4,3,3,11,13,6,10,11,4,5,5,3,4,4,3,3,1,2,2,1,2,2,1,2,3,5,3,4,5,3,2,2,0,1,0,0,1,2,1,2,4,1,3,4,1,
3,3,1,2,3,1,1,3,1,1,2,1,1,2,1,1,2,0,1,1,0,2,2,0,2,2,0,2,1,0,2,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,
1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,2,1,2,2,1,3,3,1,3,3,2,3,3,
4,4,2,4,5,4,6,7,6,5,7,6,5,7,4,6,7,5,9,9,7,8,8,8,5,6,8,10,9,6,12,13,7,11,12,6,12,15,10,17,20,16,14,17,12,9,8,4,
1,0,0,7,9,7,17,21,11,8,11,3,6,10,2,8,13,3,11,10,3,19,22,6,11,17,5,1,1,0,0,0,0,0,0,0,7,12,3,5,9,2,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,3,3,1,9,9,2,13,15,3,15,17,4,16,16,4,20,20,5,17,17,4,12,12,3,25,26,8,27,28,8,23,25,7,24,25,7,26,28,8,
19,24,6,13,15,4,16,16,4,23,27,7,18,22,5,12,14,3,26,29,8,26,29,8,17,17,4,5,5,1,0,0,0,0,0,0,0,0,0,0,0,0,8,7,1,33,25,10,
12,7,6,0,0,0,20,17,5,32,24,10,3,0,3,10,8,2,38,28,11,6,4,3,2,4,0,81,76,22,152,138,47,165,164,58,210,217,78,224,227,82,217,221,77,181,189,65,
32,86,102,65,159,172,88,200,208,88,196,204,76,188,193,67,179,190,51,145,160,34,118,125,22,89,94,22,80,89,30,95,90,20,71,53,11,47,30,3,10,12,0,1,1,0,0,0,
2,2,8,10,10,44,8,8,36,4,5,24,34,23,95,59,32,129,43,33,112,18,24,82,28,30,118,62,41,145,97,43,146,59,34,128,31,31,117,41,37,115,25,19,75,22,22,75,
43,49,127,30,27,83,19,10,46,32,22,76,37,30,84,28,24,65,24,19,50,23,13,40,17,7,21,19,5,15,22,8,26,23,15,42,13,7,21,4,1,3,15,4,12,14,3,12,
7,2,5,9,2,7,9,2,6,10,3,9,9,3,9,3,0,2,0,0,0,4,1,3,8,2,6,4,1,3,2,0,1,4,1,3,4,1,2,3,1,1,2,0,2,2,0,2,
2,1,2,4,4,3,11,13,6,7,9,3,5,5,3,4,3,3,3,1,2,1,0,1,2,2,2,3,5,3,4,4,3,2,2,0,1,2,1,1,2,0,2,3,1,3,4,1,
3,3,1,2,3,1,2,3,1,1,2,1,1,2,0,1,2,0,2,2,0,2,2,1,2,2,0,2,1,0,2,0,0,1,0,0,1,1,0,1,1,0,1,1,1,1,1,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,2,2,0,2,2,1,3,3,1,4,4,3,4,4,
3,4,2,2,2,2,4,5,5,5,7,6,4,7,4,6,7,5,9,9,7,9,8,7,5,4,5,9,8,4,12,12,6,12,12,7,12,14,9,17,20,17,16,18,13,10,9,5,
2,1,0,6,8,5,19,22,12,12,16,4,5,8,2,8,14,3,10,11,3,21,25,7,16,23,6,1,3,1,0,0,0,0,0,0,7,11,3,7,11,3,0,0,0,0,0,0,
0,0,0,1,1,1,1,1,0,2,2,1,8,8,2,13,13,3,16,18,5,17,17,4,21,21,6,20,20,5,15,15,3,23,24,6,26,27,8,23,25,6,23,25,6,27,28,8,
20,25,7,13,16,4,15,14,4,19,23,6,17,21,6,10,12,3,24,28,7,26,29,8,18,18,5,7,7,2,0,0,0,0,0,0,0,0,0,0,0,0,4,3,1,30,23,8,
15,10,6,0,0,0,7,8,2,24,17,8,6,3,3,5,5,2,35,26,11,10,7,4,0,0,0,60,56,17,150,135,49,164,161,57,206,213,77,224,227,82,219,223,78,186,194,66,
35,95,111,71,175,185,90,204,211,87,196,204,74,182,191,67,171,186,51,141,156,32,113,120,20,83,87,23,81,89,31,97,91,20,67,48,9,36,22,1,4,6,0,0,0,0,0,0,
2,2,9,10,10,45,6,6,29,6,6,31,24,21,90,34,27,111,27,29,99,19,22,80,30,30,118,67,48,148,89,47,144,46,31,123,29,32,116,41,36,113,22,16,70,26,28,87,
43,48,127,28,22,75,25,15,56,37,28,86,37,31,84,27,23,63,24,19,51,21,13,39,17,6,20,20,5,16,21,9,27,22,15,40,12,5,17,5,1,3,15,4,14,12,3,10,
7,2,5,9,2,7,8,2,6,10,2,9,6,2,5,1,0,0,0,0,0,5,2,4,7,2,4,2,1,1,2,0,1,4,1,3,3,1,2,3,1,1,2,0,2,2,0,2,
2,0,2,6,5,4,11,14,6,6,8,3,5,5,3,4,2,3,3,1,2,2,0,1,2,3,3,3,5,3,3,3,2,3,3,1,3,3,1,1,1,0,2,3,1,3,3,1,
2,3,1,2,4,1,2,3,1,1,3,1,1,2,0,1,2,0,2,2,0,2,2,1,2,2,0,2,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,1,1,1,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,1,1,0,1,1,0,2,2,1,3,3,1,4,4,2,4,4,
2,2,2,1,2,1,3,3,4,4,6,6,4,6,4,5,7,4,9,8,6,9,8,6,4,3,3,7,5,2,12,12,4,12,13,7,11,13,7,15,19,16,16,18,14,12,12,6,
3,2,0,4,6,4,18,21,12,13,17,5,5,8,2,8,14,3,9,11,3,21,24,6,18,26,7,4,6,1,0,0,0,0,0,0,8,11,2,10,15,3,0,1,0,0,0,0,
0,0,0,5,5,2,5,5,1,2,2,1,7,7,2,12,13,4,17,19,5,18,18,5,20,20,5,23,23,6,17,17,4,22,23,6,26,27,7,23,25,6,23,25,6,26,28,7,
22,27,7,14,18,4,12,12,3,15,18,5,14,20,5,7,10,2,22,25,7,26,30,8,19,20,5,9,9,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,31,24,8,
21,14,7,0,0,0,0,0,0,3,2,2,2,1,2,3,3,0,36,27,10,14,8,6,0,0,0,53,50,15,146,132,48,162,156,57,203,209,75,223,227,83,220,225,78,193,200,69,
40,107,123,76,188,197,91,207,213,84,191,199,74,177,188,67,167,183,50,139,152,30,110,116,19,81,86,24,84,90,32,98,90,12,36,28,4,9,11,2,2,6,0,0,0,0,0,0,
4,4,14,11,11,48,6,6,26,8,8,34,19,20,83,22,22,93,19,26,83,18,21,77,36,29,115,76,50,148,83,44,140,42,30,119,33,33,117,41,35,110,20,15,68,31,33,100,
43,47,126,26,20,70,30,24,72,41,36,94,36,32,84,26,22,62,26,18,50,22,14,39,17,6,18,20,5,16,21,10,30,21,15,39,11,4,14,6,2,5,16,4,14,10,3,8,
7,2,5,9,2,7,8,2,7,9,2,8,3,1,3,0,0,0,0,0,0,6,2,4,6,2,3,0,0,0,2,0,2,4,1,3,3,4,3,3,4,3,1,0,2,2,2,2,
3,3,2,7,8,4,11,13,5,6,6,3,5,5,3,3,2,2,3,1,2,2,1,1,2,4,3,3,5,3,3,3,2,3,4,1,3,3,1,1,2,1,3,4,1,3,4,1,
2,3,1,2,4,1,2,3,1,1,2,1,1,2,0,2,2,1,2,2,1,2,2,1,2,2,0,2,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,2,0,1,1,0,1,1,0,2,2,1,3,3,1,4,4,1,4,4,
1,3,2,1,2,1,1,3,4,2,6,6,3,5,4,4,6,4,8,8,6,9,9,8,4,4,3,5,4,1,11,10,3,12,13,7,11,12,6,14,17,14,16,19,15,13,13,8,
5,3,1,2,3,3,16,19,12,13,17,6,4,7,2,10,14,3,13,13,3,20,22,5,19,27,7,5,8,2,0,0,0,0,0,0,7,9,2,11,16,4,1,2,1,0,0,0,
0,0,0,5,5,2,7,7,2,2,2,1,7,8,2,12,13,4,17,19,5,19,19,5,17,17,5,22,22,6,18,18,5,22,22,6,26,27,7,24,25,7,22,25,6,26,27,7,
23,27,7,13,18,5,12,12,3,10,14,4,11,18,4,6,7,2,19,20,5,25,27,7,19,20,5,10,10,2,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,32,24,8,
24,16,9,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,33,25,10,19,11,7,0,0,0,42,40,11,141,127,45,162,153,57,198,204,73,223,226,83,221,225,79,201,208,72,
44,119,135,79,197,204,91,209,215,82,187,196,72,177,187,64,165,176,47,135,146,28,101,108,18,75,81,23,76,85,25,72,72,6,15,15,2,0,7,1,1,4,0,0,0,0,0,0,
4,4,16,11,11,51,6,6,26,7,7,35,17,17,73,17,17,72,13,20,60,17,18,68,38,29,110,83,51,146,83,42,139,42,30,115,35,33,113,41,34,107,21,16,68,35,37,109,
43,47,124,26,18,66,34,30,82,44,43,102,36,32,83,25,22,60,27,18,50,21,12,36,17,4,16,20,5,17,22,11,33,21,14,37,9,3,10,8,2,6,16,5,16,10,5,15,
8,3,8,9,2,7,7,2,6,8,2,7,3,1,3,0,0,0,1,0,1,5,1,4,3,1,2,0,0,0,2,0,2,3,2,3,4,8,5,2,5,3,1,0,0,4,3,2,
4,6,1,8,11,4,10,12,4,5,5,3,5,4,3,3,1,2,2,1,2,1,1,2,3,4,3,3,5,3,3,3,1,4,5,2,3,3,2,2,2,1,3,4,1,3,4,1,
2,3,1,2,3,1,1,2,1,0,1,0,0,1,0,2,2,1,2,2,1,2,2,1,2,2,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,2,2,0,1,1,0,0,0,0,2,2,1,3,3,1,3,4,1,4,4,
1,3,3,1,4,3,1,3,4,1,4,5,1,4,4,3,5,3,7,8,6,8,8,8,4,4,4,4,3,1,11,10,3,12,13,7,11,12,6,13,17,12,15,19,15,13,14,9,
6,5,2,1,2,1,15,18,11,17,19,8,4,7,2,9,13,3,16,16,4,20,21,5,20,28,7,7,11,3,0,0,0,0,0,0,5,6,1,11,16,4,1,3,1,0,0,0,
0,0,0,4,4,1,8,8,2,2,2,1,7,8,2,12,13,3,16,18,4,19,20,5,16,16,4,21,21,6,19,19,5,20,21,6,27,27,7,25,26,7,22,24,7,25,25,7,
23,25,7,12,16,4,12,12,3,10,13,3,11,18,5,6,9,2,15,15,3,22,23,6,18,18,4,11,11,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,29,23,7,
29,20,10,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,31,24,8,23,15,8,0,0,0,34,33,8,133,119,42,153,144,54,189,196,69,221,226,81,223,226,80,202,208,71,
50,135,148,83,206,212,91,210,215,81,187,196,74,181,190,63,164,174,44,128,139,25,81,91,16,56,64,23,73,82,22,64,65,4,12,12,2,0,6,1,1,3,0,0,0,0,0,1,
4,4,19,12,12,50,4,4,18,4,4,17,12,12,54,11,11,49,12,19,52,17,16,65,39,29,107,85,52,145,77,41,136,36,27,105,34,32,107,44,33,104,23,17,70,39,41,114,
45,46,119,29,19,65,38,34,86,44,44,102,34,30,81,26,21,59,27,17,49,22,18,39,19,15,25,21,8,20,21,11,34,20,13,36,6,2,8,8,2,6,15,5,15,10,7,21,
9,3,10,8,2,6,6,2,5,7,2,6,2,1,1,0,0,0,1,1,1,5,1,4,1,0,1,0,0,0,3,1,2,4,2,3,4,9,5,1,4,2,1,0,1,4,5,2,
4,6,1,9,11,4,9,11,4,5,5,3,4,4,3,3,1,2,2,0,2,1,1,2,3,4,3,3,4,2,3,3,1,4,6,3,3,4,3,2,2,1,3,4,1,3,3,1,
3,4,1,2,3,1,1,2,1,0,1,0,0,0,0,2,2,1,2,2,1,2,2,1,1,1,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,2,1,3,3,1,3,4,1,4,4,
1,4,3,1,4,3,1,4,4,1,3,5,1,4,5,3,5,3,5,6,5,6,6,6,2,2,3,3,2,0,10,9,2,12,13,7,11,12,6,12,15,11,14,18,15,13,14,10,
7,6,2,1,1,0,12,15,6,20,21,6,6,9,2,8,13,3,15,16,4,19,19,5,22,28,7,8,13,4,0,0,0,0,0,0,3,4,1,11,16,4,4,8,2,3,5,1,
0,0,0,4,4,1,10,10,3,2,2,0,6,7,2,12,13,3,16,18,4,20,20,5,15,16,4,20,20,6,20,20,5,18,19,5,26,27,7,25,26,7,23,25,7,24,25,6,
22,23,6,10,13,3,11,11,2,9,11,3,10,16,4,6,9,2,12,12,3,22,23,6,14,14,3,4,4,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,29,23,6,
31,21,11,2,1,2,0,0,0,0,0,0,0,0,0,0,1,0,30,24,8,28,19,10,0,0,0,25,22,6,109,94,34,133,128,46,180,191,62,220,225,79,223,227,80,202,208,71,
55,149,162,86,211,216,90,211,216,80,188,196,73,183,192,62,163,173,43,123,134,20,49,63,10,20,32,22,70,78,23,68,65,4,8,12,2,1,8,1,1,3,0,0,0,0,1,1,
4,5,23,12,12,51,3,3,15,1,1,3,5,5,21,7,8,30,11,18,52,19,16,67,43,31,111,89,52,147,75,38,133,34,26,102,35,32,107,45,31,102,24,17,67,40,42,114,
45,42,114,31,18,64,40,36,90,44,43,101,32,28,77,25,20,57,28,19,49,24,34,51,24,34,42,23,15,27,22,12,35,19,12,33,5,1,5,8,2,5,14,5,14,10,7,20,
9,3,9,7,2,5,5,1,4,6,1,5,1,0,1,0,0,0,2,1,1,5,1,4,1,0,1,0,0,0,3,1,2,3,3,3,4,9,4,1,3,1,1,0,1,4,5,2,
4,6,2,9,12,4,8,10,4,4,5,3,4,4,3,2,1,2,2,1,2,2,2,2,3,5,3,3,4,2,3,3,2,4,6,3,3,4,2,2,3,1,4,4,1,4,4,1,
3,4,1,2,4,1,2,2,1,0,1,0,0,0,0,2,2,0,2,2,1,2,2,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,2,1,2,3,1,3,4,1,4,4,
1,4,4,1,4,3,1,4,4,1,4,5,1,4,5,3,5,3,4,6,4,4,5,5,2,2,3,2,1,1,9,8,2,12,13,6,11,12,6,11,15,10,13,18,15,13,13,7,
8,6,2,1,1,0,9,11,3,19,21,5,10,13,3,11,17,4,15,17,4,19,17,5,22,28,7,11,17,4,0,0,0,0,0,0,4,5,1,12,17,4,9,15,4,9,13,4,
0,0,0,4,4,1,10,10,3,3,3,1,5,6,2,11,13,3,17,18,4,20,20,6,16,16,5,19,19,6,21,21,5,18,18,5,24,25,7,25,26,7,23,25,6,24,25,6,
23,24,6,10,13,3,11,11,2,8,9,3,7,11,3,5,10,2,11,11,3,22,22,6,13,13,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,25,21,6,
33,23,11,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,28,23,7,26,17,9,0,0,0,20,17,4,98,80,30,120,117,42,171,185,57,220,225,77,224,227,81,206,211,73,
59,161,172,87,215,219,89,212,217,80,190,199,71,180,189,60,157,169,42,120,132,19,36,53,10,15,30,23,72,80,21,63,61,4,7,13,3,2,10,1,1,2,0,0,0,1,1,3,
5,6,23,11,11,51,4,4,15,0,0,0,0,0,0,5,6,21,11,19,52,20,17,70,44,30,109,88,52,142,71,38,131,33,26,101,36,33,108,43,30,99,23,17,65,43,43,114,
46,42,112,33,19,65,42,37,92,45,44,102,33,29,79,26,20,56,28,21,51,25,44,57,27,45,52,24,18,30,22,13,36,18,11,30,4,1,4,8,2,6,13,5,16,9,6,20,
9,3,8,7,2,5,3,1,2,4,1,3,0,0,0,0,0,0,3,1,2,4,1,4,1,0,1,0,0,0,2,1,1,3,3,3,4,9,4,1,1,1,1,0,1,4,6,2,
4,6,2,10,12,4,6,8,3,5,5,3,4,3,3,2,1,2,3,2,2,3,5,3,3,5,3,3,3,2,4,4,2,4,6,3,3,4,2,3,4,1,4,4,1,4,4,1,
3,4,1,2,4,1,2,2,1,0,1,0,0,0,0,2,2,0,2,2,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,2,1,0,2,1,0,1,0,0,1,1,1,2,2,1,3,3,1,4,4,
1,4,4,1,4,3,1,4,3,1,3,5,1,4,5,3,5,3,4,6,3,4,5,4,2,2,3,1,1,1,7,7,2,11,12,6,10,11,6,11,14,9,13,18,15,12,12,6,
9,6,2,1,1,0,8,10,3,20,21,5,13,17,4,13,20,5,16,19,4,19,19,4,21,28,7,14,20,5,1,1,0,2,3,0,10,15,4,18,26,6,11,18,4,12,16,4,
1,1,1,3,2,1,10,10,3,4,4,1,5,5,1,11,13,3,17,18,5,20,22,6,18,17,5,19,19,5,21,21,6,18,18,4,24,24,7,26,27,7,23,25,7,23,24,6,
24,24,6,12,14,3,11,11,2,8,8,2,5,9,2,5,9,2,10,10,2,22,21,6,14,14,4,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,21,18,5,
33,24,10,4,2,2,0,0,0,0,0,0,0,0,0,0,0,0,25,20,6,25,17,8,0,0,0,15,13,3,93,76,29,117,113,40,169,184,57,220,225,77,225,227,81,205,212,74,
63,170,180,87,217,221,88,212,216,79,190,199,70,176,185,58,154,165,41,116,129,20,34,54,13,20,38,22,66,75,17,47,48,4,5,12,2,3,11,1,1,2,0,0,0,1,1,2,
6,6,25,11,11,49,2,2,9,0,0,0,0,0,0,5,8,23,14,19,54,22,17,73,41,30,104,81,48,136,66,35,127,32,26,100,38,35,109,42,29,97,22,17,66,45,43,115,
47,40,106,33,18,60,42,39,92,47,47,106,36,33,84,27,20,57,27,22,50,26,47,59,27,45,52,24,16,30,22,12,37,17,10,29,4,1,3,9,2,7,13,5,16,9,6,19,
8,2,7,7,1,4,2,1,2,3,1,2,0,0,0,0,0,0,2,1,2,3,1,3,1,0,1,0,0,0,1,0,0,2,4,2,4,8,5,1,1,1,2,1,1,4,6,2,
5,7,2,10,13,4,6,8,3,5,5,3,3,2,2,2,1,2,4,5,2,5,6,2,3,3,2,3,3,2,4,4,2,4,6,3,4,4,2,3,4,1,4,4,1,4,4,1,
3,4,1,2,4,1,2,2,1,0,0,0,0,0,0,2,2,0,2,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,1,2,1,1,2,1,0,1,1,0,1,1,1,2,2,1,3,3,1,4,4,
1,4,4,1,4,2,1,3,3,1,3,4,1,4,5,2,4,3,3,6,3,4,5,4,3,3,3,1,1,1,6,6,1,8,9,5,7,10,6,10,13,8,13,18,15,13,13,7,
10,7,2,2,1,0,6,9,2,19,21,5,14,17,5,13,20,5,18,23,6,22,23,6,23,28,7,15,22,5,1,2,0,2,4,1,15,24,6,24,33,8,13,20,5,12,17,4,
2,2,1,1,1,1,10,10,3,4,4,1,3,3,1,11,13,3,17,17,5,22,23,6,19,19,5,18,18,5,21,21,6,17,18,4,22,23,6,26,27,7,24,25,7,23,24,6,
23,23,6,12,14,4,11,11,3,9,8,2,5,8,2,6,10,2,8,9,2,21,21,5,14,14,4,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,4,2,
11,7,4,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,22,18,5,32,23,10,1,0,1,13,12,3,91,73,28,118,113,40,169,182,56,219,225,77,225,227,81,204,213,73,
66,176,186,87,217,221,86,211,216,77,189,197,70,175,185,57,151,162,41,112,126,21,33,54,15,24,44,18,48,59,13,29,36,3,2,12,3,3,11,0,0,1,0,0,0,1,1,2,
6,6,27,11,11,50,3,3,11,0,0,0,0,0,0,4,5,15,15,15,43,28,19,75,42,30,104,78,47,133,66,35,126,33,25,94,39,33,105,41,28,94,23,17,66,44,43,114,
43,35,97,31,19,55,41,39,91,47,48,107,36,35,87,27,20,57,28,22,50,25,47,58,27,43,50,23,15,29,21,13,37,16,10,27,3,1,3,10,2,7,12,5,16,7,6,16,
6,1,5,4,1,3,3,1,2,3,1,2,0,0,0,0,0,0,2,1,2,2,1,2,0,0,0,0,0,0,0,0,0,2,4,2,3,8,4,0,1,1,1,1,1,4,6,2,
5,7,2,9,12,4,4,7,2,4,5,2,3,2,2,3,2,2,5,5,2,5,5,2,3,3,2,3,3,1,4,5,2,4,6,3,3,4,2,3,3,1,3,4,1,3,4,1,
3,4,1,2,3,1,1,2,1,0,0,0,0,0,0,2,1,0,2,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,1,1,2,1,0,2,1,0,1,1,1,2,2,1,3,3,1,4,4,
1,3,3,1,3,2,1,3,3,1,3,3,1,4,4,1,3,2,2,3,3,4,5,4,3,3,3,1,0,1,3,3,1,5,8,3,4,7,5,7,10,7,13,18,15,13,13,8,
10,7,2,2,1,0,6,7,2,19,20,5,14,18,5,13,20,5,19,24,6,23,26,6,22,28,7,14,20,5,2,2,0,2,4,1,15,23,6,24,35,9,13,20,5,12,17,4,
3,4,1,1,1,1,11,11,3,8,8,2,4,5,1,13,15,3,18,18,5,22,23,6,20,21,5,18,18,5,22,22,6,16,17,4,20,21,6,25,26,7,24,25,7,21,23,6,
20,21,5,12,15,4,11,11,3,9,9,2,5,8,2,6,10,2,8,8,2,20,20,5,16,16,4,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,21,17,4,37,26,11,2,0,1,10,9,2,89,72,27,110,103,38,156,170,53,217,224,76,225,228,81,205,214,72,
68,184,193,88,218,221,85,209,215,76,189,196,69,175,185,54,141,153,34,90,104,19,23,46,13,13,33,13,22,34,9,10,18,3,2,13,3,3,11,0,1,1,0,0,0,1,1,4,
6,6,27,10,10,46,3,3,10,0,0,0,0,0,0,2,1,2,13,6,23,30,18,72,46,33,107,79,47,134,61,33,120,34,23,85,41,33,102,40,26,90,24,18,67,46,44,115,
42,33,93,33,23,63,43,43,99,47,48,107,35,35,84,27,20,57,27,24,51,25,48,59,28,45,54,23,14,29,20,13,36,16,12,34,4,3,9,9,2,6,10,5,16,4,5,14,
3,1,2,3,1,3,3,1,2,3,1,2,0,0,0,0,0,0,3,1,2,2,1,2,0,0,0,0,0,0,0,0,0,3,4,3,3,8,4,0,0,0,1,1,0,4,6,2,
4,5,2,7,8,3,3,4,2,4,5,2,3,5,3,3,6,4,5,6,3,5,5,2,3,3,2,3,3,1,3,5,3,4,6,3,3,3,2,2,2,1,2,3,1,3,4,1,
3,4,1,2,3,1,1,2,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,2,1,1,2,2,0,2,1,0,0,1,0,1,1,1,2,2,1,3,4,
1,2,3,1,2,2,1,3,3,1,3,3,1,3,3,0,2,2,0,2,2,3,4,4,3,3,4,0,0,0,1,1,0,5,8,3,4,7,5,5,9,6,11,17,15,12,13,8,
11,8,2,3,1,0,4,6,2,18,20,5,14,18,4,12,19,4,18,24,6,23,25,6,20,25,7,11,15,4,2,1,0,2,4,1,16,25,6,26,37,9,14,22,5,12,17,4,
5,6,2,4,3,1,12,12,3,10,10,2,5,7,1,18,21,5,19,20,6,23,23,6,20,21,5,18,18,5,22,22,6,16,17,4,19,20,5,24,25,7,23,24,6,17,19,5,
17,18,4,11,13,3,7,8,2,6,6,1,4,7,2,6,11,3,7,8,2,20,20,5,15,15,4,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19,16,4,30,21,9,1,0,2,8,8,1,84,68,24,104,90,36,143,157,48,215,223,74,226,228,81,205,214,72,
71,191,199,87,218,221,85,208,213,76,188,196,69,173,183,51,126,140,29,64,82,17,13,36,11,7,26,9,5,17,7,2,11,3,4,13,2,3,9,0,0,0,0,0,0,1,1,4,
3,3,14,3,3,15,0,0,2,0,0,0,0,0,0,0,0,0,11,3,14,32,19,73,49,33,108,80,46,132,59,30,113,33,22,79,41,33,98,39,26,88,28,20,69,49,46,117,
42,33,93,35,25,70,45,46,106,48,48,108,34,34,83,27,20,55,29,35,58,27,58,68,31,50,63,23,15,33,19,12,35,14,13,35,3,3,10,8,1,5,8,5,15,3,4,13,
3,1,2,3,1,2,3,1,2,3,1,2,0,0,0,0,0,0,3,1,2,2,1,2,0,0,0,0,0,0,0,0,0,3,5,3,3,8,4,0,0,0,1,1,0,5,7,2,
3,3,2,3,2,1,2,2,0,3,6,2,2,8,4,3,8,5,5,7,4,4,5,2,2,2,1,2,2,1,4,5,3,4,6,4,3,3,2,2,2,1,2,3,1,3,4,1,
3,3,1,2,3,1,1,2,1,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,2,1,1,2,2,1,1,1,0,0,0,0,1,1,1,3,2,1,3,3,
1,2,3,1,2,2,1,3,3,1,3,3,1,3,3,0,2,1,0,2,2,3,4,4,3,3,4,0,0,1,1,1,0,5,7,2,4,6,3,4,7,5,9,15,13,11,12,8,
11,8,2,3,2,1,4,6,2,17,20,5,15,18,5,12,19,4,18,23,6,23,25,6,19,23,6,9,12,3,2,1,0,2,4,1,19,29,8,29,41,10,15,22,6,13,18,4,
10,11,3,6,6,2,12,12,3,10,10,3,7,10,2,23,30,8,19,20,6,22,22,6,20,21,6,18,18,5,22,22,6,17,17,4,18,19,5,25,25,7,23,23,6,16,16,4,
14,14,3,9,11,3,3,4,1,0,0,0,3,5,2,5,10,3,5,6,2,14,14,3,11,11,3,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19,16,4,28,19,9,1,0,1,10,9,2,80,63,23,84,66,31,126,140,42,215,223,74,226,228,81,206,214,73,
70,194,201,85,219,222,83,207,213,75,188,196,66,172,182,47,116,131,25,50,69,16,9,33,11,8,28,9,4,17,8,3,12,3,4,13,3,3,10,0,0,1,0,0,0,2,2,5,
1,1,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,13,4,16,35,19,74,48,31,102,70,43,123,53,27,105,32,20,75,40,31,98,39,26,88,32,21,70,51,47,117,
42,32,91,35,26,72,46,47,108,48,48,108,34,33,81,27,22,57,31,44,66,30,70,78,31,55,66,22,14,32,19,12,35,14,13,35,5,11,17,9,6,9,8,5,15,3,5,14,
3,1,3,3,1,2,3,1,2,2,1,2,0,0,0,0,0,0,2,1,2,2,1,1,1,1,0,2,3,1,1,1,0,2,5,3,3,7,4,0,0,0,1,2,1,7,10,3,
2,3,1,1,0,0,1,2,0,3,7,2,3,9,4,4,8,5,5,7,4,4,5,3,2,2,1,2,2,1,4,5,2,4,5,3,3,3,2,2,2,1,3,3,1,3,3,1,
3,3,1,2,2,1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,1,2,2,1,2,2,1,2,1,0,1,1,1,2,2,1,3,3,1,3,3,
1,2,3,1,2,2,1,3,3,1,3,3,1,3,3,0,0,1,0,2,2,3,4,4,3,3,4,0,0,1,1,1,0,3,4,1,2,2,0,4,7,4,7,13,13,7,10,8,
9,8,2,3,2,1,3,6,1,15,17,4,14,18,5,12,18,4,17,24,6,23,25,6,20,24,6,10,13,3,5,6,1,5,9,2,22,32,8,31,42,11,15,22,5,13,18,4,
11,13,3,7,7,2,12,12,3,11,10,3,7,9,2,23,30,8,18,19,5,21,21,6,21,21,6,18,18,5,21,21,6,17,17,4,17,19,4,23,24,6,21,22,6,14,15,4,
12,12,3,9,11,3,2,3,1,0,0,0,1,1,1,2,2,0,2,2,0,10,10,2,6,6,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19,16,5,36,26,12,3,1,2,7,6,2,67,52,19,70,54,24,122,137,40,216,224,75,227,228,81,207,215,74,
71,198,204,85,221,224,84,211,214,73,190,197,64,171,181,45,116,130,25,52,71,16,10,34,11,8,28,12,5,20,10,4,17,4,4,14,3,3,11,2,3,7,1,1,2,2,2,6,
2,2,5,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,13,4,17,35,20,75,47,31,98,58,38,112,44,24,91,35,21,74,46,34,102,40,25,87,32,21,70,51,47,117,
42,33,90,35,26,71,46,47,109,48,48,108,34,33,82,28,22,57,32,50,70,31,75,82,30,55,66,20,14,30,18,12,34,14,14,36,8,24,29,12,20,22,8,7,17,5,8,24,
5,5,14,2,1,2,3,1,2,2,1,2,0,0,0,0,0,0,2,1,2,1,0,1,1,1,0,6,9,2,2,3,0,1,5,3,2,7,4,0,0,0,2,2,1,7,11,3,
2,3,1,1,0,0,1,2,0,5,8,3,5,11,6,5,10,6,5,7,3,5,5,2,3,4,2,3,3,1,4,5,2,4,6,3,3,4,2,2,2,1,3,3,1,3,3,1,
2,3,1,1,2,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,1,2,2,1,2,2,1,2,2,0,1,1,1,2,2,1,3,3,1,3,3,
1,2,3,1,2,2,1,3,3,1,3,3,1,2,2,0,0,0,0,2,2,3,4,4,4,4,4,1,1,1,0,0,0,0,0,0,0,0,0,4,6,4,7,13,13,6,9,8,
9,7,2,3,2,1,4,6,1,14,17,4,13,17,4,11,17,4,15,20,5,22,25,6,20,23,6,11,16,4,11,16,4,9,14,4,22,32,8,30,42,11,17,25,6,14,20,5,
11,13,3,7,7,2,12,12,4,12,11,3,8,11,2,22,29,8,18,19,5,21,21,6,21,21,6,17,17,5,20,20,6,17,17,4,17,18,4,21,23,6,21,21,5,14,14,4,
12,12,3,9,11,3,2,3,1,0,0,0,0,0,0,0,0,0,1,1,0,8,8,2,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17,15,4,40,29,13,3,1,2,9,9,1,63,48,19,66,50,23,123,138,40,217,224,75,226,228,81,208,216,74,
72,201,207,85,223,226,85,214,218,73,192,198,62,169,179,45,115,130,26,52,71,16,9,34,11,8,27,14,5,23,14,5,21,5,4,14,3,4,14,3,5,14,1,2,5,2,2,7,
2,2,7,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,14,5,18,36,19,76,47,30,95,57,36,107,46,23,87,37,21,73,46,34,101,39,25,88,32,21,69,50,43,114,
41,30,87,35,26,71,47,47,108,48,47,107,34,32,81,28,21,55,33,50,69,33,75,81,31,55,66,20,14,30,17,12,34,14,15,36,9,26,31,13,24,26,8,6,18,7,11,30,
5,7,19,0,1,1,3,0,2,2,1,1,0,0,0,0,1,0,2,1,1,1,0,1,1,1,1,6,9,2,2,3,1,1,5,3,2,7,4,0,0,0,2,2,1,7,11,3,
2,3,1,1,0,0,1,2,0,6,9,3,7,12,6,6,10,6,5,7,3,3,5,2,3,5,2,3,3,1,4,5,2,4,6,3,4,4,2,2,2,1,2,3,1,2,3,1,
2,2,1,1,2,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,1,2,2,1,2,2,1,2,2,0,1,1,1,2,2,1,2,2,1,3,3,
1,2,2,0,3,2,1,3,3,1,3,3,1,2,2,0,0,0,0,2,2,2,3,4,3,3,4,1,0,1,0,0,0,0,0,0,0,0,0,4,6,4,7,13,13,6,9,8,
9,7,2,3,2,1,4,6,2,14,18,5,13,17,4,9,14,3,13,16,4,22,24,6,19,23,6,12,16,4,14,20,5,10,17,4,21,31,8,31,42,11,23,32,8,21,29,7,
12,15,3,8,7,2,12,12,3,14,14,4,9,12,3,22,29,8,18,19,5,21,21,5,21,21,6,16,16,4,18,18,5,16,16,4,17,18,4,21,22,6,19,19,5,14,14,3,
12,12,3,9,12,3,2,4,1,0,0,0,0,0,0,0,0,0,1,1,1,9,9,2,4,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17,15,4,32,22,11,1,0,2,7,6,1,63,49,17,72,59,25,131,146,42,216,224,75,227,228,81,209,216,74,
71,200,207,86,224,227,84,216,219,71,189,196,59,157,169,45,112,128,27,55,75,18,10,36,13,9,29,15,6,24,13,4,22,4,3,13,4,5,17,3,5,16,1,1,4,1,1,4,
1,2,4,0,0,1,1,0,1,5,2,4,2,1,1,1,0,0,17,5,18,40,21,77,48,30,96,56,36,107,47,24,87,37,20,72,46,33,100,40,26,88,32,20,67,48,38,108,
40,28,85,35,26,70,47,47,107,47,48,104,32,30,76,25,15,45,32,47,65,34,75,82,31,56,67,20,13,30,17,11,34,13,14,36,9,26,31,12,22,24,7,7,16,7,11,30,
4,7,19,0,0,1,3,0,2,2,1,1,0,0,0,2,6,3,2,5,2,0,0,0,1,1,1,6,9,2,2,3,0,1,4,3,2,7,4,0,0,0,1,2,1,7,11,3,
2,3,1,0,0,0,1,1,0,5,8,3,7,12,6,7,11,6,5,7,3,3,5,1,3,5,1,3,3,1,3,4,2,4,6,3,4,4,2,2,2,1,2,3,1,2,3,1,
2,2,1,1,2,1,1,2,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,1,2,1,1,2,2,1,2,2,0,1,1,1,2,2,1,2,2,1,2,3,
0,2,1,0,3,2,1,3,3,1,3,3,1,2,2,0,1,1,0,1,1,1,2,2,1,1,3,0,0,1,0,0,0,0,0,0,0,0,0,3,6,4,6,11,10,6,8,6,
9,7,2,3,2,1,5,6,2,15,17,4,13,17,4,9,14,3,13,16,5,22,24,6,19,23,5,12,16,4,14,20,5,10,17,4,21,31,8,31,42,11,26,36,10,25,34,9,
12,14,3,10,10,3,19,23,6,20,23,6,9,13,3,21,28,7,18,19,5,21,21,6,21,21,6,16,16,4,18,18,5,16,16,4,17,18,4,20,22,6,17,17,5,9,9,2,
11,11,3,9,13,3,2,3,1,0,0,0,0,0,0,0,0,0,1,1,1,8,8,2,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,11,3,20,12,7,0,0,1,9,8,1,64,50,18,84,74,28,140,157,47,215,222,75,227,228,81,210,217,75,
72,201,207,85,225,227,82,217,220,68,182,190,56,150,162,44,112,128,28,56,77,19,10,37,15,13,34,16,11,29,14,6,22,4,4,14,4,6,17,3,5,15,1,1,4,0,0,0,
1,1,3,2,2,7,2,1,3,8,2,5,2,1,2,1,0,0,19,6,18,43,22,76,48,30,96,54,35,101,46,22,80,38,19,68,44,32,101,36,24,85,32,19,67,47,37,106,
39,26,81,35,26,70,48,50,110,48,51,106,30,30,73,21,9,30,31,44,59,34,76,83,31,57,68,21,17,36,16,11,35,11,14,35,9,25,31,11,23,25,7,14,22,8,17,34,
5,8,21,0,0,2,3,0,2,2,1,1,0,0,0,2,8,4,2,9,5,0,0,0,1,1,1,6,9,2,2,4,0,1,4,3,2,7,4,0,0,0,2,4,2,8,14,4,
2,5,2,0,0,0,0,0,0,4,7,2,7,12,6,7,11,6,5,7,3,3,5,1,3,5,1,3,3,1,2,3,2,4,5,3,4,4,2,2,2,1,2,3,1,2,3,1,
2,2,1,1,2,1,1,2,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,2,1,1,2,2,0,1,2,0,1,1,1,2,2,1,2,2,1,1,2,
0,1,1,1,2,2,1,3,3,1,3,3,1,2,2,0,1,1,0,0,0,0,1,1,1,1,3,0,0,1,0,0,0,0,0,0,0,0,0,2,4,2,4,6,5,3,4,3,
4,3,1,2,1,0,5,7,2,15,18,5,13,17,4,9,14,3,14,16,5,23,24,6,19,23,5,12,16,4,14,20,5,10,17,4,22,32,8,29,39,10,25,34,9,26,35,9,
12,14,3,13,17,4,27,36,9,26,34,9,11,19,5,18,26,6,17,18,5,21,21,6,21,21,6,16,16,4,18,18,5,16,16,4,17,18,4,19,20,6,13,13,4,4,4,1,
10,10,2,9,12,3,2,3,1,0,0,0,0,0,0,0,0,0,1,1,0,7,8,2,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,8,7,1,66,51,18,92,85,31,145,161,48,214,222,75,226,228,81,212,219,75,
72,203,209,83,225,227,80,217,220,65,181,189,55,147,160,44,114,129,28,58,79,19,13,39,16,18,37,18,18,34,15,8,23,5,4,15,4,5,18,3,5,15,1,1,4,0,0,0,
1,1,3,2,4,12,2,2,5,9,2,6,3,1,2,1,0,0,18,5,13,40,18,62,47,28,88,51,30,89,43,16,58,35,16,50,36,29,88,28,21,73,31,18,61,47,36,106,
40,27,83,35,25,70,49,54,113,50,57,111,29,32,77,20,11,36,30,45,62,34,76,83,31,59,71,23,22,45,16,13,38,11,13,34,9,28,34,11,29,30,9,24,30,10,27,42,
5,10,23,0,0,2,3,0,2,2,1,1,0,0,0,2,8,4,3,10,5,0,0,0,1,1,1,6,11,5,4,10,4,1,6,4,2,8,4,0,2,1,4,9,3,9,17,7,
3,7,3,0,0,0,0,0,0,4,6,2,7,12,6,7,11,6,5,7,3,3,5,1,3,5,2,2,3,1,2,2,2,4,5,3,4,4,2,2,1,1,2,2,1,2,3,1,
2,2,1,1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,1,1,2,1,1,2,2,0,1,1,0,1,1,1,2,2,1,2,2,0,1,1,
0,1,1,1,3,2,1,3,3,1,2,2,1,2,2,0,0,0,0,0,0,1,1,1,1,1,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,
0,0,0,0,0,0,5,7,2,15,18,5,13,16,4,9,14,3,14,16,5,23,25,6,18,22,5,12,16,4,14,20,5,10,17,4,22,32,8,27,37,9,24,33,9,26,35,9,
11,13,3,15,19,4,32,44,12,28,44,13,15,33,12,21,30,9,18,18,5,22,22,6,21,21,6,16,16,4,17,17,4,16,16,4,17,18,5,19,20,5,12,12,3,4,4,1,
10,10,2,7,8,2,1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,7,8,2,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,10,2,66,52,19,95,87,31,150,164,49,214,222,74,227,228,81,211,219,76,
70,204,210,84,225,228,81,218,221,67,183,190,55,147,160,39,105,119,26,51,72,21,14,40,16,20,38,19,20,34,14,8,24,5,3,14,4,6,19,3,5,15,1,2,5,0,0,0,
1,1,4,2,3,13,2,1,5,9,2,6,5,1,3,5,1,3,18,4,10,35,13,43,44,26,79,50,30,85,45,15,52,36,13,41,33,23,69,23,16,53,27,15,50,46,36,103,
38,26,80,34,24,68,49,54,112,50,57,110,28,34,77,19,16,47,31,50,69,32,76,83,29,61,73,24,28,54,14,9,31,9,10,27,10,35,41,11,41,40,9,32,35,10,29,43,
5,11,23,1,1,3,3,1,3,2,1,1,0,0,0,2,7,4,3,10,5,0,0,0,1,2,5,8,15,12,6,16,9,3,12,6,2,8,4,1,3,1,6,12,3,10,18,7,
4,8,4,0,0,0,0,1,1,4,7,3,7,12,6,7,11,6,5,7,3,3,5,1,3,5,2,2,3,1,2,2,2,3,5,3,3,4,2,2,1,1,2,1,1,2,2,1,
2,2,1,1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,2,2,1,2,2,0,1,1,0,1,1,1,2,2,1,2,2,0,1,1,
0,1,1,1,2,2,1,2,1,1,2,2,1,2,2,0,0,0,0,0,0,1,1,2,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,5,6,2,12,13,3,11,13,3,9,14,3,15,18,6,20,23,6,14,19,5,12,16,4,14,20,5,10,17,4,23,34,8,27,39,12,26,36,11,26,35,10,
11,12,2,16,21,6,33,44,12,28,48,16,16,40,17,20,30,10,18,18,5,22,22,6,21,21,6,15,14,4,15,15,3,15,14,3,18,19,5,19,21,6,12,12,3,4,4,1,
10,10,2,5,5,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,7,7,2,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,9,2,68,54,19,95,88,32,152,166,50,215,222,75,227,228,81,210,218,76,
67,200,205,84,227,229,80,219,221,67,186,193,53,141,154,33,81,98,21,29,53,20,11,38,17,22,39,19,22,36,15,9,24,5,3,14,4,6,18,3,6,16,3,7,10,1,3,3,
1,1,2,2,3,12,2,2,5,7,2,4,10,3,4,12,3,4,20,5,10,33,11,35,44,24,76,51,31,87,48,17,58,37,13,42,33,22,65,21,14,41,26,13,42,43,33,95,
37,26,76,33,22,64,47,52,110,49,54,108,31,34,79,21,20,55,33,51,75,33,75,85,29,63,74,24,29,53,12,6,21,7,6,18,10,35,42,11,46,44,9,36,37,11,31,43,
7,13,27,3,5,14,3,2,7,0,0,1,0,0,0,1,6,3,2,10,5,0,0,0,2,2,7,8,17,17,7,21,13,3,14,7,2,8,4,2,4,1,8,14,4,11,19,7,
4,8,4,0,0,0,0,4,2,4,10,4,7,12,6,7,11,6,5,7,3,3,5,1,3,5,1,2,3,1,1,2,1,2,4,1,3,4,2,2,1,1,0,0,0,1,1,0,
1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,2,2,1,2,2,0,1,1,1,1,1,1,2,2,1,2,2,0,1,1,
0,1,1,0,1,0,0,0,0,1,2,2,1,2,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,4,3,1,8,8,2,8,10,2,10,16,5,17,23,9,19,24,7,12,17,4,13,17,5,15,20,5,10,17,4,25,35,9,30,43,16,29,42,17,26,35,11,
10,11,2,17,23,6,33,45,12,28,48,15,17,39,17,19,28,8,16,16,4,22,22,6,19,19,5,10,10,2,12,12,3,13,14,3,14,16,4,17,19,4,12,12,3,4,4,1,
10,10,2,5,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,12,3,70,55,20,95,90,31,157,172,51,216,223,76,227,228,81,209,216,74,
64,195,202,81,227,229,79,220,222,67,186,194,52,139,153,32,70,88,18,13,38,20,11,37,17,26,42,19,26,39,16,11,26,4,4,15,4,5,18,5,8,19,4,11,16,1,7,6,
1,1,3,3,5,13,2,2,6,8,2,5,12,4,6,17,4,5,22,5,10,33,11,33,44,24,76,49,30,85,43,15,50,35,13,38,34,22,64,23,15,42,26,12,39,42,32,92,
35,24,74,32,21,61,46,50,108,48,53,107,34,35,79,22,21,56,32,49,73,33,75,85,28,64,74,24,31,54,12,6,22,7,4,15,10,33,41,11,46,46,9,36,36,10,32,43,
7,14,31,6,9,23,3,5,14,0,0,0,0,0,0,1,6,3,3,13,7,0,2,0,1,1,6,8,15,17,7,22,13,3,15,7,2,6,3,1,2,1,8,14,3,10,18,6,
5,10,4,0,0,0,0,4,2,4,10,5,7,12,6,6,11,5,5,8,4,3,5,1,3,5,1,2,4,1,1,1,1,2,3,1,3,4,1,2,1,1,1,0,0,1,0,0,
1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,2,2,1,2,2,0,1,1,1,1,2,1,2,2,0,2,2,0,1,1,
0,1,1,0,0,1,0,0,1,1,2,3,1,2,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,1,0,3,2,1,4,3,1,8,6,2,8,9,2,11,19,7,19,27,12,16,21,7,6,9,2,12,15,4,15,20,5,11,18,4,26,37,10,31,45,18,31,46,19,25,33,10,
10,11,2,20,27,7,37,51,14,29,50,17,17,39,16,19,27,8,16,15,4,22,21,6,18,21,7,9,15,5,13,16,5,13,12,3,10,12,3,14,15,4,10,10,3,4,4,1,
10,11,2,5,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,12,3,70,56,20,97,93,33,163,179,55,220,225,77,227,228,81,208,216,74,
64,195,201,80,227,229,78,221,223,68,188,194,55,147,157,34,75,93,19,14,40,20,13,38,18,29,44,20,31,43,17,14,29,5,2,13,4,4,16,5,10,21,6,14,23,2,8,8,
2,4,7,4,6,18,2,2,6,8,2,6,13,3,6,18,4,6,22,5,11,32,10,30,44,23,74,41,28,77,30,11,35,34,12,33,34,22,64,24,17,46,24,10,33,39,27,82,
36,25,77,32,20,58,45,47,103,46,52,106,35,37,81,23,21,56,31,45,71,33,74,86,26,66,74,23,33,56,13,7,24,9,6,20,11,34,45,11,48,47,9,37,36,11,33,43,
7,16,32,6,9,25,4,6,16,0,0,0,0,0,0,3,9,5,6,23,11,2,9,4,1,1,4,7,13,16,9,22,14,3,15,7,1,3,2,0,0,1,7,13,3,10,19,7,
5,11,6,0,0,0,0,3,2,4,9,5,7,12,6,7,11,5,5,8,4,2,5,1,3,5,1,3,5,1,1,1,1,2,2,1,2,4,1,1,1,1,1,0,0,1,0,0,
1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,2,2,0,2,2,0,0,1,1,2,2,1,2,2,0,2,2,0,1,1,
0,1,1,0,0,1,0,0,1,1,2,3,1,2,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
1,1,0,3,3,1,5,4,1,8,6,2,8,10,2,11,20,8,20,28,12,14,18,6,3,3,1,12,14,4,14,20,5,12,19,4,27,38,10,30,45,18,31,45,17,26,34,10,
17,21,5,28,37,10,44,58,17,31,53,18,17,38,16,19,31,11,17,21,7,21,20,5,19,28,11,14,34,14,16,27,10,13,13,3,10,10,3,13,13,3,10,10,2,4,4,1,
11,11,2,4,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,7,2,57,46,16,99,97,33,169,184,57,223,227,78,227,228,81,209,217,74,
63,194,199,81,229,230,78,223,224,67,187,192,56,153,157,37,89,102,19,16,43,20,12,39,19,29,44,21,32,44,18,17,30,5,2,11,2,3,11,6,8,22,11,15,25,6,10,11,
3,7,11,5,7,19,3,2,7,7,2,5,12,3,5,19,5,7,25,6,14,33,10,30,44,22,73,39,28,75,26,11,30,35,11,32,32,17,52,22,13,36,22,7,22,35,19,63,
34,22,71,32,19,56,44,45,99,45,52,106,35,38,84,23,21,57,30,41,69,31,73,86,25,68,74,21,36,56,12,8,27,12,12,33,14,38,54,14,54,54,10,41,40,10,33,43,
8,18,33,6,7,25,4,6,17,0,0,1,0,0,0,4,14,8,8,30,14,5,17,9,1,1,4,7,14,16,10,25,16,5,18,8,1,3,2,0,0,0,7,11,4,11,20,10,
7,15,9,0,2,2,0,1,1,3,9,4,6,12,6,7,11,5,5,8,4,1,2,1,2,3,1,3,5,1,2,2,1,1,2,1,2,4,1,1,1,1,0,0,0,1,0,0,
1,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,2,2,0,1,1,0,1,1,1,2,2,1,2,2,0,2,2,0,1,1,
0,1,1,0,0,1,0,1,1,1,3,3,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
2,1,0,3,3,1,4,3,1,5,4,2,7,11,2,12,21,9,20,27,12,13,17,6,3,3,1,13,16,5,14,20,5,14,21,4,27,40,11,30,44,18,31,45,18,26,35,10,
24,31,8,35,45,12,45,60,17,29,51,18,18,39,16,21,40,16,20,34,13,20,22,7,20,38,16,18,51,22,17,34,14,14,17,6,11,21,7,12,14,4,10,9,2,4,4,1,
8,8,2,3,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,48,40,12,98,99,32,172,187,58,222,226,78,227,228,81,206,214,73,
59,187,193,81,229,230,79,225,226,66,187,194,53,148,152,37,94,104,17,19,45,20,11,38,19,28,44,20,32,43,19,18,32,6,5,14,2,3,12,6,9,22,16,17,27,11,10,12,
3,7,11,5,7,19,6,3,9,11,3,6,12,3,6,18,5,7,28,7,18,35,10,31,44,21,70,42,28,77,28,12,34,34,11,29,32,14,47,18,6,19,20,5,13,32,16,53,
31,19,60,30,16,49,42,42,96,45,53,106,34,37,83,21,20,55,27,37,64,28,69,81,22,70,74,21,39,59,11,10,29,11,12,33,15,40,57,17,61,62,12,48,46,10,34,42,
10,22,37,7,12,27,5,11,21,1,1,3,0,0,0,4,16,9,9,34,18,6,23,12,1,2,3,6,15,16,11,28,20,6,22,12,1,5,3,0,0,0,6,10,3,12,20,11,
9,18,12,1,5,4,0,0,0,3,7,4,6,11,6,7,12,6,4,8,5,0,1,1,1,2,0,3,5,1,2,2,1,1,2,1,2,4,1,1,2,1,0,0,0,0,0,0,
1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,1,2,2,1,2,2,0,2,2,0,1,1,
0,1,1,0,0,1,0,1,2,1,3,3,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
2,2,0,3,3,1,2,2,1,1,2,1,8,12,3,13,22,9,17,26,12,11,15,5,4,4,1,15,18,5,15,21,5,18,25,6,30,41,12,30,44,19,31,45,17,26,34,9,
26,35,9,37,48,13,44,59,17,26,49,18,18,39,17,22,42,17,22,39,16,21,23,8,19,40,17,16,50,23,13,30,14,16,33,14,13,41,16,9,20,8,7,6,2,1,1,1,
2,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,53,43,14,101,103,32,175,190,59,222,226,78,227,228,81,199,208,70,
56,178,185,81,229,231,79,226,227,68,192,198,52,143,147,38,101,109,16,23,46,18,11,38,19,27,44,20,33,44,20,21,34,8,10,20,2,6,14,5,7,20,15,15,26,14,12,14,
3,7,10,6,7,19,11,3,10,17,4,7,14,4,6,18,4,6,28,7,18,35,10,28,43,20,64,42,29,79,30,15,39,33,11,27,32,13,42,18,5,14,19,5,10,29,14,46,
28,14,45,27,13,40,41,40,92,45,53,107,34,35,81,17,13,42,24,31,59,27,65,77,22,70,75,22,44,62,11,12,31,10,9,30,15,38,56,17,63,65,13,52,49,10,35,40,
11,30,42,9,25,36,6,22,27,2,4,6,0,0,0,4,16,10,9,35,20,7,26,13,1,3,3,4,12,14,12,30,22,7,26,15,2,8,5,0,0,0,4,8,2,11,20,10,
10,20,13,3,8,5,0,0,0,1,6,3,6,12,7,7,12,7,4,10,5,0,2,1,1,1,0,3,5,1,2,3,1,1,1,1,2,4,1,1,3,1,0,0,0,0,0,0,
1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,
0,1,1,0,0,1,1,2,2,1,3,3,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,2,1,1,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,
2,2,1,4,3,1,2,2,0,1,3,0,7,12,3,13,23,10,17,26,11,10,12,4,4,5,1,16,20,6,16,22,6,22,28,8,31,43,14,30,45,19,32,44,17,26,35,10,
27,36,10,38,50,14,44,59,18,23,46,18,19,38,16,22,43,18,21,36,16,19,21,7,16,40,18,11,46,20,8,23,11,15,39,17,14,51,23,7,23,11,6,5,1,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,4,1,57,48,15,106,110,35,181,196,61,222,226,79,226,228,81,191,201,67,
53,171,177,79,229,231,80,227,229,68,198,203,50,139,143,34,88,95,15,19,42,18,11,38,20,26,44,19,33,44,22,25,38,11,16,27,3,11,17,5,7,19,14,15,26,14,12,16,
3,7,10,6,8,20,14,4,12,20,5,8,15,4,7,16,4,5,27,7,18,34,10,25,38,13,41,40,25,67,31,17,44,32,10,25,33,13,41,23,7,18,17,4,9,26,12,40,
28,12,43,24,8,29,40,37,87,46,54,109,36,37,83,16,12,40,21,26,53,27,63,77,23,72,76,23,49,65,12,14,35,8,7,26,14,33,52,17,62,65,14,54,53,9,35,35,
9,31,41,10,31,41,8,28,32,2,7,9,0,1,2,5,19,16,10,37,25,8,30,16,2,7,4,4,11,12,12,31,23,10,30,18,3,14,8,0,0,0,3,5,1,11,19,9,
10,20,13,4,11,6,0,0,0,1,5,3,5,12,7,7,13,7,5,9,4,1,2,1,0,0,0,3,5,1,3,4,1,1,1,0,2,3,1,2,3,1,0,0,0,0,0,0,
1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,
0,0,1,0,0,1,1,2,3,1,2,3,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,2,2,1,2,2,1,1,1,0,0,0,0,0,0,0,0,0,0,
2,2,1,4,3,1,2,2,0,1,2,0,5,9,3,13,23,10,17,25,10,9,11,3,6,7,2,17,22,6,16,21,6,24,31,8,31,43,15,30,45,19,34,46,19,28,42,16,
29,40,12,40,53,15,44,61,19,21,45,18,19,37,16,21,41,18,20,32,13,16,19,7,14,42,19,10,43,19,4,18,9,13,40,19,13,52,25,7,21,10,6,5,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,5,1,62,52,18,111,117,37,188,202,64,224,227,79,225,228,81,184,194,65,
50,165,172,78,229,231,78,228,229,70,204,208,49,139,144,32,78,83,14,16,39,18,11,38,19,25,43,19,32,44,23,27,42,12,19,32,5,14,21,4,7,18,15,16,28,15,14,18,
3,8,9,5,8,20,13,5,14,21,4,8,16,4,8,16,4,5,27,7,17,33,9,24,35,9,24,38,21,54,31,19,48,31,9,24,35,14,44,23,7,21,18,4,8,24,11,35,
28,12,46,22,7,25,35,29,75,44,49,103,37,41,85,18,15,44,20,22,49,27,58,75,23,73,76,23,54,68,14,21,41,6,6,24,12,27,48,17,59,64,15,57,56,9,36,35,
9,30,38,10,31,42,9,30,34,4,14,16,1,4,4,5,21,19,10,38,28,9,33,20,4,16,9,3,12,12,12,30,24,11,32,21,5,19,11,0,1,0,1,2,0,9,17,7,
11,21,13,5,13,9,0,1,0,1,4,3,5,12,6,7,13,7,6,9,4,2,2,0,0,0,0,2,3,1,3,3,1,1,1,0,1,2,1,2,3,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,
0,0,1,0,0,1,0,2,2,0,1,1,1,1,2,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,2,2,2,2,2,1,1,1,0,0,0,0,0,0,0,1,1,0,
2,2,1,4,3,1,2,2,0,1,0,0,5,7,3,13,22,10,17,23,9,9,10,3,9,9,3,18,23,6,16,21,6,26,34,9,31,44,16,30,45,20,33,48,20,29,46,20,
31,43,13,44,58,16,47,65,20,21,44,18,19,37,15,20,40,17,21,32,13,20,29,10,18,50,22,10,41,19,3,16,9,10,42,19,11,48,23,7,17,8,6,4,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,9,2,69,62,20,119,129,39,193,206,66,225,227,80,225,228,81,180,190,62,
46,152,160,76,229,231,76,228,229,71,209,213,51,145,151,34,84,88,14,18,40,17,11,37,19,22,42,19,33,44,23,29,43,14,23,35,6,18,24,4,9,19,14,16,29,17,15,21,
4,7,8,4,8,18,13,7,16,22,5,10,16,4,9,15,3,5,28,7,16,35,9,24,35,9,23,37,19,47,32,22,53,30,9,22,34,13,39,25,8,26,19,5,8,22,8,24,
26,10,33,19,5,17,29,22,60,40,40,97,38,40,87,20,17,47,18,18,45,27,52,71,23,72,77,23,59,69,16,33,48,6,15,25,11,21,43,17,55,63,16,60,59,9,39,37,
9,30,37,10,32,41,9,32,37,7,27,28,3,11,12,4,18,17,9,36,28,10,36,21,6,24,14,3,15,13,10,26,22,11,32,22,6,23,14,1,3,2,0,0,0,8,14,6,
11,21,12,7,16,11,0,2,2,0,2,2,4,10,6,7,12,7,6,9,4,2,3,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,
0,0,1,0,1,1,0,1,1,0,1,1,1,1,2,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,2,2,2,1,1,1,0,0,0,0,0,0,1,1,0,3,3,1,
4,4,1,4,3,1,1,1,0,2,1,0,7,10,5,13,21,10,13,17,6,7,7,2,10,12,3,18,23,6,17,21,6,26,35,9,29,43,16,29,44,20,28,44,20,27,43,19,
32,45,13,47,61,17,45,65,21,20,43,18,19,37,15,19,41,18,23,36,13,33,49,17,29,64,27,9,38,18,3,16,9,11,45,21,11,47,23,7,14,6,5,3,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17,15,4,87,84,26,131,144,44,195,207,66,226,227,80,223,227,80,173,183,59,
40,136,145,73,226,228,75,228,229,72,214,217,51,152,157,35,92,93,15,22,41,16,8,35,20,21,42,19,32,44,23,31,43,17,28,39,7,22,27,5,12,22,15,20,35,18,17,26,
5,8,9,3,8,17,14,12,22,22,11,15,17,5,11,15,3,5,30,8,16,37,10,25,35,10,23,34,13,33,30,16,40,29,8,20,35,13,39,26,9,30,19,5,9,19,5,11,
23,7,20,18,4,13,24,15,46,36,34,89,37,38,86,22,21,53,14,14,39,23,46,66,23,67,74,21,51,62,18,35,51,9,28,36,10,18,40,16,50,61,17,62,62,10,43,41,
9,29,35,10,31,41,10,31,39,8,32,34,4,18,18,4,18,15,9,36,29,10,37,24,7,27,17,4,17,13,9,24,21,13,32,23,7,27,16,1,7,4,0,0,0,6,10,3,
10,21,11,6,17,11,2,5,3,0,1,0,2,8,5,5,11,7,5,9,4,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,
0,0,1,0,1,1,0,1,1,1,1,2,1,1,2,1,1,2,1,1,1,0,0,0,0,0,0,1,1,2,2,2,2,1,1,1,0,0,0,0,0,0,2,2,1,4,4,1,
4,4,1,4,3,1,1,1,0,3,3,1,8,14,7,11,19,9,9,11,4,6,5,1,13,15,4,18,23,6,16,20,5,22,30,8,24,38,16,29,43,20,27,43,19,27,42,17,
34,46,13,49,64,18,41,63,22,19,43,20,20,38,16,20,43,20,27,45,17,40,62,22,32,68,30,9,35,17,3,19,10,12,52,25,12,52,27,8,14,7,3,2,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,23,6,103,104,31,144,159,49,198,209,68,226,228,80,220,225,79,164,174,55,
35,123,131,72,223,226,75,228,230,72,217,219,52,160,165,37,102,102,18,35,49,15,10,34,18,18,38,17,31,42,23,31,43,18,29,40,7,24,30,8,14,23,20,21,35,21,19,28,
6,8,8,5,9,17,18,17,26,24,18,22,19,9,13,15,3,5,30,8,15,37,10,25,36,10,24,33,8,22,27,8,20,27,7,15,35,13,37,28,10,34,20,5,11,18,4,7,
22,6,14,18,4,12,22,13,38,33,31,82,38,38,88,25,25,59,11,11,37,20,38,61,22,57,67,17,42,53,17,31,51,11,38,44,9,18,37,15,43,57,17,63,64,12,47,45,
8,30,33,10,33,42,10,32,40,9,34,36,7,25,25,5,24,18,10,37,29,12,40,27,9,31,20,6,23,18,8,26,23,13,32,24,9,29,18,3,12,7,0,0,0,4,8,3,
10,19,10,6,19,12,2,8,6,0,0,0,2,6,4,3,10,6,3,8,4,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,
0,0,1,0,1,1,0,1,1,1,1,2,1,1,2,1,1,2,0,1,1,0,0,1,0,1,1,2,2,2,2,2,2,2,2,1,0,0,0,0,0,0,3,3,1,4,4,1,
4,4,1,3,2,1,0,0,0,4,4,2,10,17,8,11,18,8,7,8,2,6,6,1,15,19,5,18,23,6,15,18,4,18,27,8,22,36,16,28,43,20,27,43,19,28,42,16,
37,49,13,50,65,19,37,62,24,21,46,23,22,40,17,22,46,22,31,52,19,42,68,25,30,67,29,6,27,14,5,21,10,14,59,29,16,64,38,11,25,13,3,1,0,0,0,0,
0,0,0,0,0,0,1,7,4,2,11,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,35,31,8,111,112,34,152,166,52,202,212,69,226,228,81,214,220,78,149,160,49,
32,116,125,69,217,221,75,229,230,74,220,222,56,169,174,39,111,110,21,48,57,15,15,37,19,16,37,17,30,41,23,32,44,19,29,41,7,25,30,9,14,23,23,20,35,23,20,30,
8,8,8,4,8,15,20,18,28,28,20,25,23,12,17,19,4,7,28,7,14,37,10,24,36,10,24,31,8,18,26,6,14,25,6,12,33,11,30,30,12,39,20,5,13,17,4,7,
22,6,13,18,4,12,18,9,29,30,27,77,38,39,91,28,29,66,11,11,36,18,32,57,22,53,66,13,41,49,13,28,49,12,40,47,8,20,36,14,35,54,17,62,64,13,52,50,
8,32,33,10,37,43,11,39,44,11,39,42,8,34,35,7,30,22,10,38,28,12,42,30,9,33,21,7,28,23,7,28,25,11,32,26,9,30,20,4,17,10,0,0,0,3,8,4,
10,19,10,8,20,12,3,12,8,0,0,0,0,3,2,2,9,6,2,8,5,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,
1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,1,1,0,1,1,0,1,1,1,1,2,1,1,2,1,1,2,0,1,2,0,1,2,1,1,2,2,2,2,2,2,2,2,2,1,0,0,0,1,1,0,4,4,1,5,4,1,
4,4,1,1,1,0,0,0,0,6,7,3,11,19,8,11,16,7,7,7,2,8,9,2,18,22,6,18,22,6,15,19,5,17,27,9,23,37,17,29,43,19,26,43,19,29,41,15,
40,52,14,50,66,20,31,60,26,19,44,21,21,40,17,22,47,22,30,52,19,38,68,26,24,61,27,4,21,11,6,28,14,16,66,36,19,72,45,13,35,17,2,1,0,0,0,0,
0,0,0,0,0,0,3,17,10,4,21,13,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,45,43,11,122,125,39,164,180,56,209,217,72,226,228,81,208,216,75,134,145,44,
29,111,118,67,212,216,75,230,231,73,223,225,57,178,182,41,120,117,23,57,64,15,17,37,19,15,37,16,28,41,22,32,44,21,30,42,9,26,32,9,17,25,21,19,34,24,22,33,
10,9,10,3,7,11,19,17,28,28,21,26,27,15,20,23,6,10,28,7,12,36,10,24,35,9,23,30,8,15,28,8,15,24,6,13,31,10,25,30,12,40,19,5,13,16,4,6,
21,6,11,16,4,9,13,6,19,26,23,68,37,37,91,29,27,63,11,8,29,17,26,51,23,52,68,13,45,51,11,27,48,12,39,50,9,24,36,11,26,45,17,59,63,14,56,55,
8,35,34,10,36,40,12,44,47,12,44,46,11,41,42,8,32,25,10,37,26,12,42,32,10,36,22,8,30,23,7,28,25,8,31,28,9,31,24,6,22,14,0,3,2,2,6,3,
10,19,10,10,20,12,5,15,10,0,3,2,0,2,1,2,8,5,2,10,6,1,5,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,
1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,1,1,0,1,1,1,1,2,1,1,2,1,1,2,1,1,1,0,1,2,0,1,2,2,2,2,2,2,2,2,2,1,2,2,0,1,0,0,2,2,2,4,4,2,5,4,1,
4,2,1,0,0,0,1,1,0,8,10,4,11,19,9,10,14,6,7,6,2,11,12,3,20,24,7,17,20,6,13,16,5,14,24,10,25,39,18,28,42,19,25,42,18,28,41,12,
42,55,14,48,66,20,26,56,25,18,41,18,18,39,17,21,47,22,30,54,18,38,70,29,20,54,24,4,22,12,11,47,23,19,78,44,20,74,45,13,35,17,0,0,0,0,0,0,
0,0,0,0,0,0,5,20,12,5,20,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,50,47,12,125,131,41,173,188,59,213,221,74,226,228,81,200,209,71,123,135,39,
27,105,110,65,207,211,75,230,231,72,226,227,55,183,186,41,127,123,30,80,79,15,21,40,18,13,37,17,27,41,19,32,44,20,30,42,10,27,33,8,21,26,20,20,33,25,22,35,
12,13,15,2,7,10,16,15,26,27,20,26,27,16,20,23,6,10,26,6,11,36,9,23,35,9,23,30,8,14,29,8,13,26,7,14,30,8,21,31,12,42,17,6,15,13,3,4,
20,5,9,14,4,8,7,3,11,19,19,58,35,36,90,29,26,62,10,5,21,13,19,42,23,49,68,16,49,55,10,27,41,12,35,48,9,30,39,8,18,35,15,53,59,16,60,60,
10,42,39,11,38,41,13,46,48,12,46,47,12,44,46,8,33,30,9,34,24,12,41,32,11,39,26,9,31,23,7,28,25,8,31,29,9,32,27,8,27,18,1,8,5,1,3,1,
8,16,8,11,21,12,6,17,10,2,6,3,0,0,0,1,7,4,2,10,6,2,7,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,
1,1,1,1,0,1,1,1,1,2,2,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,1,1,1,1,1,1,1,2,1,1,2,1,1,1,0,1,1,0,1,2,1,1,2,2,2,2,2,2,2,2,2,1,2,2,0,0,0,0,3,2,2,5,5,3,5,5,1,
3,2,1,0,0,0,3,3,0,9,14,6,11,19,9,9,11,4,7,6,2,12,13,4,18,22,6,13,14,4,7,8,2,12,22,10,27,42,19,28,43,19,24,40,16,28,41,12,
45,59,15,45,66,22,22,52,25,16,36,17,16,39,17,25,51,22,38,62,20,38,72,29,15,46,21,5,27,15,16,66,35,21,85,52,17,67,41,9,24,12,0,0,0,0,0,0,
0,0,0,1,2,1,6,26,15,3,13,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,1,46,54,14,123,134,39,178,192,60,216,222,76,225,229,81,188,196,66,110,122,34,
19,73,79,58,191,195,75,231,232,73,227,229,55,186,190,41,129,126,35,104,94,17,28,44,18,11,36,18,25,39,17,33,43,17,28,40,11,27,34,7,22,27,17,18,30,27,25,37,
17,21,25,3,10,13,13,14,24,27,21,27,27,17,21,23,7,11,25,6,9,35,10,21,36,10,24,30,8,14,31,8,14,28,7,14,29,7,18,32,14,41,20,10,22,13,4,4,
18,5,7,14,4,6,2,1,3,11,10,35,30,30,80,28,28,65,11,7,23,11,13,34,23,44,66,17,48,56,7,24,30,10,28,41,10,36,43,7,15,32,13,44,52,16,62,61,
13,51,46,11,44,43,13,47,46,13,47,47,13,48,48,9,37,34,8,32,22,12,41,31,12,42,30,9,35,23,7,29,25,8,30,27,9,33,29,9,31,21,4,15,9,0,1,0,
5,12,6,11,20,11,7,17,11,2,8,6,0,0,0,1,3,2,2,8,4,2,8,4,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,
1,0,1,1,0,1,1,1,1,2,2,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,0,1,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,0,1,1,0,3,4,3,6,5,3,6,5,2,
2,2,0,0,0,0,5,5,2,10,17,9,11,18,8,7,8,3,7,6,2,11,11,4,13,15,4,9,8,2,5,6,2,15,27,13,29,43,19,27,42,19,24,41,17,31,45,13,
48,63,18,40,64,24,14,42,21,10,28,13,18,42,20,35,61,24,51,76,27,41,76,31,10,37,17,7,32,18,19,75,41,21,84,52,14,59,34,3,13,7,0,0,0,0,0,0,
0,0,0,1,5,2,7,30,18,2,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,21,29,6,64,81,20,129,145,40,184,197,61,218,223,76,222,228,80,174,182,60,97,111,29,
13,53,60,51,170,175,75,230,232,74,228,229,58,194,197,39,129,129,38,112,101,17,38,50,17,11,35,18,24,39,16,34,44,17,29,41,12,28,36,8,25,29,15,16,28,29,27,40,
25,27,32,7,15,18,11,13,23,26,22,29,27,19,23,24,9,13,24,6,8,33,9,19,36,10,25,30,8,15,30,8,14,30,8,15,28,7,15,33,15,37,23,17,33,13,9,8,
16,4,5,15,4,5,1,0,0,4,1,6,21,19,54,29,31,69,15,12,31,9,8,26,20,33,59,17,36,51,4,15,19,8,20,32,11,41,47,8,16,31,11,33,44,16,61,58,
15,56,50,11,46,41,12,46,43,13,50,46,14,52,49,11,42,41,7,31,23,10,39,28,12,43,32,10,36,24,8,31,25,8,29,26,9,32,29,9,31,24,6,22,13,0,2,1,
2,7,3,8,17,9,7,16,10,3,11,8,0,2,2,0,0,0,1,3,3,2,7,4,1,5,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,
1,0,1,1,0,1,2,1,2,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,
1,1,1,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,2,1,2,3,3,2,3,3,2,2,2,2,0,1,0,2,1,2,5,5,4,6,5,3,6,4,1,
1,0,0,1,0,0,7,9,5,11,20,10,10,16,7,7,6,2,8,7,2,10,10,3,11,10,3,8,6,2,6,9,4,18,32,15,28,43,19,25,42,19,27,45,19,36,52,16,
49,65,19,32,61,25,8,33,18,7,24,11,21,48,22,43,68,25,55,82,30,34,71,30,6,29,14,10,42,22,19,81,44,20,82,52,11,48,27,1,7,3,0,0,0,0,0,0,
0,0,0,1,9,5,6,26,16,1,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,33,43,9,95,113,29,144,161,46,190,202,65,219,224,78,220,226,79,164,172,56,84,98,24,
10,41,48,43,149,156,75,229,232,74,228,229,61,204,206,39,135,137,35,120,106,19,51,58,16,12,35,17,22,39,16,35,44,18,31,42,13,28,38,7,26,30,14,16,27,32,26,40,
32,32,38,11,19,21,8,14,21,25,25,30,29,23,24,26,14,18,24,8,11,31,9,17,36,10,25,32,8,18,30,8,13,30,8,15,27,7,14,32,14,32,26,22,39,15,14,12,
16,5,5,17,4,5,3,1,1,1,0,0,13,9,25,26,28,61,19,17,41,7,5,20,17,23,50,16,22,45,2,3,8,5,10,22,12,39,47,8,24,35,9,23,38,15,56,56,
16,58,53,12,47,41,12,45,41,13,50,45,15,53,50,13,47,46,7,32,27,9,35,24,12,42,33,10,37,25,9,33,24,8,31,26,9,31,28,9,31,25,7,25,16,1,6,3,
1,3,2,4,12,7,5,14,9,3,12,8,2,6,3,0,0,0,0,0,0,1,5,2,1,7,3,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,1,
1,0,1,2,1,2,2,1,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,
1,1,1,1,1,2,1,1,2,1,1,2,2,1,2,1,1,2,1,1,2,2,2,2,3,3,3,4,3,3,2,2,3,0,1,2,3,2,3,5,5,4,6,5,3,5,3,1,
0,0,0,2,2,0,9,13,7,11,20,10,9,12,6,7,6,2,9,8,3,11,10,3,11,9,3,7,5,2,7,14,6,19,33,15,24,38,17,24,42,18,29,48,20,41,57,17,
48,66,19,23,55,25,5,25,15,10,29,14,26,53,24,47,72,24,53,83,31,26,62,26,4,24,12,13,53,28,21,86,50,20,80,51,8,38,21,0,1,0,0,0,0,0,0,0,
0,0,0,3,15,9,6,23,14,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,0,49,61,15,114,131,35,155,170,50,196,208,68,220,226,79,215,223,78,155,163,52,77,92,23,
9,36,43,37,132,139,73,226,228,75,228,229,66,213,215,39,144,147,32,121,107,21,66,67,16,13,36,19,18,38,16,33,43,18,31,42,15,27,37,7,30,32,12,19,27,31,23,37,
35,33,40,15,22,24,5,12,19,24,25,31,33,30,28,31,23,25,25,16,18,30,10,17,36,9,24,33,9,20,30,7,13,31,8,15,27,7,14,28,10,19,25,19,26,16,16,14,
14,7,6,17,4,5,6,2,3,0,0,0,9,5,13,22,23,52,20,21,48,8,5,19,14,18,43,18,20,47,4,2,11,2,3,12,10,33,44,10,31,39,8,16,34,14,49,53,
16,61,56,13,50,43,11,43,39,13,48,44,14,53,48,14,51,49,9,36,32,8,32,22,12,41,32,12,40,30,10,34,25,9,32,26,9,32,26,9,31,25,8,28,19,4,15,10,
1,5,3,2,10,5,3,13,7,3,12,9,3,10,7,0,2,2,0,0,0,1,3,2,1,7,3,1,3,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,
0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,
1,0,1,2,1,2,2,1,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,
1,1,1,1,1,2,1,1,2,2,1,2,2,1,2,0,1,2,1,1,2,3,3,3,4,3,3,4,3,3,2,2,3,1,2,2,4,4,4,5,5,4,5,5,1,2,1,1,
0,0,0,5,5,3,11,16,9,11,18,9,8,9,3,7,6,2,9,9,3,11,11,3,10,9,2,6,6,2,10,20,10,17,30,14,17,31,14,24,43,19,31,49,19,46,60,17,
42,64,21,15,47,23,4,21,12,13,35,17,31,58,25,50,75,24,49,82,32,18,51,23,4,24,12,16,67,35,24,95,58,22,84,51,7,32,18,0,1,1,2,7,5,1,2,1,
0,0,0,5,23,14,5,23,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,11,2,62,75,18,124,138,38,165,180,54,203,213,70,220,226,79,207,216,73,134,140,44,62,73,18,
7,30,32,29,111,115,69,219,222,75,228,230,68,219,221,42,154,158,32,117,107,24,81,76,14,16,36,20,21,39,18,42,48,18,34,44,16,28,38,9,33,34,10,21,28,28,21,34,
37,35,43,20,27,29,4,12,18,22,24,30,36,33,30,33,28,28,26,20,24,28,13,17,35,9,21,33,10,20,30,9,14,31,8,15,28,7,15,26,8,16,23,16,19,16,17,14,
11,8,6,13,3,4,8,2,3,0,0,0,6,2,6,19,18,43,22,26,55,10,7,23,11,13,35,18,24,52,7,7,22,1,4,7,9,28,38,11,38,44,7,15,32,12,38,47,
16,61,58,13,52,45,9,38,31,11,45,40,14,54,48,15,52,50,11,41,40,7,31,22,11,39,29,12,43,35,11,38,28,9,33,27,9,32,26,9,32,26,9,30,24,7,24,20,
3,11,8,2,10,5,4,13,7,4,14,9,3,12,11,3,8,7,0,0,1,0,1,1,1,5,3,1,6,3,1,2,1,1,4,1,1,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,
1,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,
1,0,1,2,1,2,2,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
1,1,1,1,1,2,1,1,2,2,1,2,2,1,2,0,1,2,2,2,2,4,3,3,4,3,3,3,3,3,1,2,3,2,2,2,5,5,4,5,5,3,5,3,1,0,0,0,
1,1,0,7,8,4,11,17,9,10,15,6,7,7,2,7,6,1,10,9,3,11,11,3,9,7,2,6,8,3,12,25,12,16,28,14,18,34,15,26,45,20,32,48,17,45,60,16,
33,60,22,9,37,20,5,21,11,17,42,20,37,63,24,54,80,28,43,78,32,11,38,17,6,31,16,20,78,43,26,100,64,22,84,49,6,23,12,2,12,7,7,30,18,1,5,2,
0,1,1,6,26,15,3,11,7,1,2,1,1,6,3,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,16,4,73,87,21,137,152,43,178,193,60,210,217,73,220,226,79,195,204,68,108,110,34,37,42,11,
3,14,15,20,79,82,63,209,212,74,230,230,71,223,225,45,164,168,25,96,85,24,84,71,12,21,37,16,16,34,21,54,54,18,39,47,17,28,39,9,33,34,7,22,26,24,18,32,
38,35,44,25,30,33,5,14,18,19,20,27,37,33,31,36,31,29,29,24,26,28,16,19,33,9,18,34,14,21,29,15,16,30,9,15,28,7,15,27,7,16,26,14,18,18,18,16,
9,9,7,7,2,3,7,2,2,0,0,0,4,1,2,16,13,32,22,27,55,14,12,32,7,8,25,15,22,49,9,13,33,4,15,11,8,32,31,11,41,42,8,19,32,11,27,41,
15,59,56,14,53,46,8,33,24,10,39,33,15,55,49,15,54,50,13,47,45,8,32,26,9,35,25,12,43,36,12,41,32,9,34,27,9,32,27,9,32,26,9,31,26,8,29,24,
5,16,14,2,9,5,4,15,7,4,14,9,2,10,8,3,10,9,0,3,3,0,0,0,1,3,2,1,6,3,1,2,1,1,3,1,1,4,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,
1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,
2,1,2,2,1,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,
1,0,1,1,0,2,1,0,2,2,1,2,1,1,2,2,1,2,3,3,2,4,4,3,4,4,3,2,3,3,1,2,3,4,3,4,5,5,4,6,5,2,3,1,1,0,0,0,
2,2,1,8,8,4,10,11,5,9,10,3,6,6,2,7,6,1,11,10,3,11,11,3,7,6,2,5,11,5,13,27,12,16,28,14,22,39,16,26,45,19,30,44,14,40,56,16,
23,53,22,6,28,16,7,24,11,20,48,23,42,68,23,56,84,33,35,75,34,7,33,17,11,49,27,23,91,53,27,102,66,19,75,43,3,11,5,5,22,13,8,38,24,1,3,2,
2,7,4,7,29,18,2,5,3,4,16,8,6,28,13,2,7,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,24,6,86,99,26,149,165,48,190,203,64,214,221,75,218,226,78,178,186,62,76,73,23,20,22,5,
2,9,9,11,48,50,56,191,194,75,231,232,73,226,227,50,179,182,23,92,84,26,88,71,12,31,42,10,8,26,17,47,48,19,45,50,17,29,40,11,33,34,8,27,29,20,19,31,
37,33,43,30,35,38,7,20,22,16,18,25,37,34,32,37,32,29,32,28,28,31,24,21,33,12,18,34,15,22,27,17,18,26,9,14,28,7,13,27,7,15,27,12,17,21,19,17,
11,13,9,2,2,2,6,2,2,2,1,0,2,0,0,12,7,19,20,20,44,15,12,28,6,4,16,10,20,45,9,16,38,5,16,16,7,33,18,9,39,31,8,26,31,9,21,37,
14,54,52,13,53,45,7,32,24,8,32,25,15,54,47,16,57,48,14,51,47,8,36,33,8,32,21,12,41,34,12,43,36,10,36,28,9,33,27,9,32,26,9,31,26,8,29,25,
6,22,19,2,10,8,3,13,7,4,15,8,2,8,5,2,8,9,1,7,6,0,1,1,1,3,3,1,4,3,0,1,1,0,2,1,1,4,1,1,2,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,
1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,
2,1,2,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,
1,0,1,1,0,1,1,0,2,1,2,2,1,2,2,2,2,2,4,3,3,4,4,4,4,4,4,1,2,3,2,2,3,5,5,5,6,5,4,6,4,2,2,0,0,0,0,0,
5,5,3,8,8,4,8,8,3,8,7,2,6,6,1,8,8,2,11,11,3,10,9,3,6,5,1,4,8,4,11,21,9,15,29,14,25,43,19,25,42,18,31,43,12,34,50,15,
13,38,17,4,20,11,10,30,14,22,52,23,46,71,23,55,88,38,26,66,32,7,34,19,18,72,40,26,98,61,27,100,63,14,57,32,3,13,6,9,39,24,6,28,17,0,0,0,
3,14,7,6,25,16,0,2,1,7,32,15,9,41,19,1,6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,31,41,9,101,116,30,159,175,52,195,207,67,215,221,76,215,223,77,160,167,54,60,57,18,14,17,4,
1,3,3,4,23,23,48,168,171,74,231,232,74,227,229,56,194,196,25,100,97,25,90,71,14,45,49,6,6,21,15,41,41,19,51,53,17,29,42,13,31,37,8,32,32,17,22,32,
36,34,43,35,40,44,12,27,28,14,21,24,37,35,33,38,33,29,34,30,29,33,27,23,34,15,18,34,13,21,28,18,19,23,10,13,28,7,13,24,6,12,25,9,14,20,17,16,
13,15,12,2,3,2,6,1,2,4,1,1,0,0,0,6,3,6,11,6,16,12,5,13,6,2,6,6,11,28,6,10,26,3,9,11,7,30,13,8,37,22,8,32,29,8,20,33,
13,49,49,14,56,49,9,38,31,6,27,20,12,48,41,16,58,49,15,54,46,11,42,40,7,31,23,11,38,29,12,43,36,11,37,29,9,32,25,9,33,26,9,31,24,8,29,24,
7,26,22,4,14,12,2,10,6,4,16,8,3,11,5,1,6,6,2,8,9,1,4,5,2,6,6,2,5,5,0,0,0,0,0,0,1,4,1,1,4,1,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,2,1,2,
2,1,2,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1,
1,0,1,1,0,1,1,1,2,1,2,2,2,2,2,2,2,2,4,3,3,4,4,4,3,3,4,1,2,3,3,3,4,6,5,5,6,5,3,4,2,1,0,0,0,1,1,1,
7,6,4,8,8,4,8,7,3,6,6,1,6,5,1,9,9,3,11,11,3,9,8,3,4,4,1,4,4,1,11,14,6,18,34,15,26,45,20,24,40,14,35,47,12,27,42,13,
5,20,10,4,15,7,12,37,18,27,57,23,51,77,26,49,86,40,16,51,25,9,41,23,22,87,50,27,102,67,24,93,57,9,37,21,7,30,16,12,52,32,4,17,10,0,0,0,
5,22,13,4,19,11,1,5,3,9,42,20,8,34,17,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,4,0,48,60,14,120,136,37,165,180,54,197,207,68,214,221,76,208,218,74,139,142,45,44,42,13,11,17,4,
0,0,1,1,9,9,38,141,143,72,229,231,74,228,229,61,206,208,28,112,112,25,90,72,18,60,57,5,6,19,11,32,31,19,60,54,21,33,43,15,31,37,8,35,33,14,26,33,
34,32,43,38,41,46,18,32,34,10,20,23,34,33,32,39,35,30,34,30,30,32,28,25,34,18,19,34,11,20,30,18,20,22,12,14,27,7,13,24,6,10,22,7,9,18,15,13,
14,17,13,4,6,5,5,1,1,5,1,2,0,0,0,1,0,0,4,2,4,9,3,5,7,1,1,2,2,7,1,2,7,1,1,2,5,23,12,8,35,18,9,38,29,7,26,32,
12,47,47,16,61,54,12,45,38,7,29,21,10,39,32,16,57,49,16,55,47,14,48,44,8,33,28,8,34,24,12,42,35,11,38,32,8,32,24,9,32,26,8,31,24,8,28,23,
7,26,22,5,19,16,2,10,6,3,14,7,4,16,8,2,9,6,2,8,9,1,7,7,2,6,6,2,7,7,1,2,2,0,0,0,1,1,0,1,4,2,1,4,4,1,3,3,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,2,1,2,2,1,2,
2,0,2,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1,1,1,0,
1,0,1,1,1,2,1,2,2,1,2,2,3,2,2,3,2,2,4,4,4,4,4,4,2,3,3,2,2,3,4,4,5,6,5,5,6,4,2,3,0,0,0,0,0,4,4,2,
8,8,5,8,8,3,7,6,1,5,4,1,6,6,2,10,10,3,11,10,3,7,6,2,2,2,0,5,4,1,12,18,8,20,38,16,23,43,19,24,38,12,33,46,11,17,32,11,
3,19,10,8,28,14,16,44,21,36,63,23,55,83,32,42,83,40,9,39,21,13,55,31,25,94,57,28,104,69,20,81,48,7,27,15,13,56,33,12,52,33,2,7,4,1,3,2,
6,27,17,3,9,6,2,11,5,12,50,24,8,37,21,1,5,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,8,12,3,8,12,3,1,1,0,17,24,5,74,90,22,135,151,43,171,185,57,197,208,69,213,221,75,198,208,70,115,116,37,31,29,8,9,15,3,
0,1,1,0,1,1,26,106,106,68,223,224,74,228,230,65,214,216,35,137,138,28,105,84,23,79,68,6,13,26,6,19,21,18,58,51,25,41,47,21,32,39,9,34,34,11,29,33,
30,28,40,41,40,46,26,35,38,8,20,22,29,31,31,40,37,32,35,33,31,32,30,27,34,21,20,34,10,19,30,16,21,20,14,15,26,10,14,26,8,12,20,5,7,18,12,10,
16,18,14,7,9,7,3,1,1,7,1,2,1,0,1,0,0,0,0,0,0,6,1,2,9,2,3,2,1,0,0,0,0,0,0,0,3,14,7,8,34,17,9,38,26,7,28,29,
10,36,37,15,59,50,13,52,42,10,39,29,9,37,29,14,53,47,17,57,49,15,52,46,10,38,36,8,30,22,10,38,30,11,40,34,9,33,26,9,32,26,9,33,28,7,28,23,
6,24,21,6,22,19,3,12,10,2,10,5,4,17,9,4,15,8,3,11,9,2,10,10,1,5,5,2,7,7,2,7,6,0,2,1,0,0,0,1,3,1,1,6,5,1,5,5,
1,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,2,1,2,2,1,2,2,1,2,
1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,0,1,1,0,
1,0,1,1,1,2,1,2,2,2,2,2,3,2,2,4,3,3,4,4,4,3,3,4,1,2,3,2,2,4,5,5,5,6,5,4,5,3,1,0,0,0,0,0,0,6,6,5,
8,8,5,8,7,2,5,4,1,5,5,1,8,8,3,11,10,5,7,6,3,2,2,0,2,2,0,7,7,2,13,24,11,19,39,18,17,35,15,21,32,8,25,38,9,9,24,11,
6,27,15,14,48,24,21,53,25,44,70,23,54,87,37,30,70,34,7,33,18,18,70,40,26,99,63,28,106,71,16,65,38,7,29,17,19,79,50,13,54,35,2,9,5,7,30,16,
9,41,24,1,3,2,5,22,10,14,58,31,12,54,33,3,13,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,8,9,2,34,44,10,25,31,8,3,3,1,42,56,13,112,132,34,154,170,49,174,189,59,200,211,70,214,221,75,186,197,65,91,89,27,20,20,6,8,13,3,
0,1,1,0,0,0,17,72,72,61,210,212,74,229,230,70,221,223,45,168,169,29,115,93,26,92,73,9,25,35,6,11,17,17,61,50,26,48,50,25,33,41,11,34,35,9,31,33,
27,26,37,44,41,47,38,53,50,10,27,27,23,30,30,40,41,36,39,37,33,35,35,32,33,26,22,34,14,20,30,14,21,17,15,15,22,12,14,28,12,14,21,5,7,19,9,8,
16,18,14,11,13,9,2,1,2,7,2,2,2,1,1,0,0,0,0,0,0,5,1,2,10,2,3,4,1,1,0,0,0,0,0,0,1,5,3,7,29,14,8,35,21,8,34,29,
6,24,22,12,48,35,13,52,39,11,46,33,10,43,32,13,48,42,17,57,49,15,53,45,12,44,41,8,30,24,8,32,20,10,38,29,10,35,28,8,32,26,10,34,30,9,30,25,
6,24,21,6,23,21,5,17,15,2,9,6,3,14,7,5,18,10,4,15,11,3,14,13,2,8,8,1,6,6,3,10,8,2,7,4,0,0,0,0,0,0,1,5,3,1,6,5,
1,4,5,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,
1,0,1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,2,1,2,2,1,2,1,0,1,
1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,
1,0,1,1,1,2,1,1,2,3,2,2,4,3,2,4,3,4,4,3,4,2,3,4,2,2,3,4,3,5,5,5,5,5,4,2,3,1,0,0,0,0,2,3,3,7,6,5,
8,7,4,6,5,2,2,1,1,5,5,1,10,9,5,11,10,6,3,2,1,0,0,0,3,2,0,8,12,6,10,26,12,10,29,15,9,22,10,19,28,6,16,29,8,5,22,11,
10,36,20,16,52,27,28,58,24,51,76,26,51,88,40,17,52,25,8,39,22,22,85,49,29,105,71,27,102,68,11,45,25,10,44,26,22,91,59,12,49,29,4,20,9,13,57,29,
9,39,23,0,1,0,8,36,16,14,62,35,11,46,29,2,6,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,26,26,6,58,66,16,35,38,10,7,8,2,67,83,20,136,153,43,161,175,52,180,193,61,205,215,72,212,221,75,170,179,58,66,62,20,9,9,2,8,13,3,
0,0,0,0,0,0,13,55,55,55,194,195,73,230,230,73,225,226,55,192,195,32,129,112,27,102,76,13,43,46,5,5,16,14,48,41,22,52,51,25,33,41,12,33,35,9,33,34,
21,24,32,42,38,45,46,69,61,17,40,37,17,28,28,40,41,37,40,40,34,35,36,33,32,29,25,35,20,22,31,13,20,17,16,17,17,12,13,29,14,16,20,6,9,15,7,7,
14,16,13,13,16,12,3,4,3,7,2,2,4,1,1,0,0,0,0,0,0,2,1,1,6,1,2,2,1,1,0,0,0,0,0,0,0,0,1,5,21,11,8,35,18,9,39,29,
6,24,19,9,39,23,14,53,36,11,45,30,12,47,33,11,43,34,15,53,45,15,54,43,13,47,43,9,35,33,7,27,15,9,34,21,10,37,29,8,31,25,9,32,28,9,32,28,
7,26,22,6,24,21,6,23,19,3,12,10,2,10,6,4,17,9,4,17,11,3,14,13,4,13,12,3,10,8,3,11,8,3,11,8,1,4,2,0,0,0,0,2,0,1,6,4,
1,6,5,1,4,4,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,2,0,2,2,0,2,2,0,2,1,0,1,
1,0,1,1,0,1,0,0,0,1,0,1,2,0,1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,1,2,1,0,2,1,1,1,0,1,
1,0,1,1,1,1,2,1,1,3,2,2,4,3,3,4,3,4,3,3,4,2,3,4,3,2,4,5,4,5,5,4,4,5,3,2,1,0,0,0,0,0,4,5,5,7,6,5,
7,6,3,4,2,3,1,1,1,6,6,2,11,10,7,8,7,5,0,0,0,0,1,0,5,5,1,9,18,8,7,25,12,5,21,12,10,20,6,20,29,6,11,25,9,4,22,11,
11,38,19,18,50,25,36,63,21,53,79,26,38,74,33,8,33,16,12,53,31,26,97,60,31,112,78,24,91,59,7,30,16,16,67,42,21,87,56,7,33,19,7,29,15,15,64,35,
5,22,13,1,8,5,10,46,23,15,63,37,7,33,20,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,40,42,10,68,72,20,28,23,8,15,18,4,88,106,27,149,165,48,167,180,55,183,196,62,209,218,73,210,220,74,149,153,50,42,35,12,4,4,1,6,9,2,
0,0,0,0,0,0,8,39,38,47,174,175,71,228,229,73,226,227,61,205,207,34,138,128,27,106,79,18,61,58,4,5,18,10,32,31,21,59,53,24,37,42,14,32,34,13,38,35,
15,25,30,37,30,40,48,65,60,24,48,44,12,27,27,37,40,36,41,40,34,36,37,33,32,33,28,35,24,24,33,13,20,21,17,19,14,16,14,28,16,17,22,12,14,11,10,9,
11,15,11,15,17,13,5,7,5,4,1,1,6,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,12,7,8,35,17,11,47,30,
8,34,27,8,33,21,14,57,38,11,48,31,11,46,32,11,45,33,12,48,39,15,55,44,14,50,42,10,39,38,6,27,19,8,31,16,10,38,29,9,34,26,8,29,23,9,32,29,
8,29,24,6,23,21,6,24,21,5,18,15,2,9,7,3,12,6,4,16,9,4,14,12,4,14,13,4,14,11,3,13,8,3,13,10,2,9,5,0,2,0,0,1,0,1,5,2,
2,7,5,1,5,5,1,3,4,0,2,2,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,2,0,2,2,1,2,2,0,1,1,0,1,
1,0,1,1,0,0,1,0,0,2,0,1,2,0,1,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,2,1,0,2,1,0,2,1,1,1,0,1,
1,1,1,1,1,1,3,1,1,4,3,2,4,3,4,3,3,4,1,2,3,2,2,4,4,3,5,5,4,5,6,4,4,3,2,2,0,0,0,1,2,2,5,5,5,7,5,3,
7,4,4,3,1,4,4,4,1,9,8,4,11,10,7,4,3,3,0,0,0,2,2,0,7,7,2,8,19,8,5,23,12,5,20,9,16,24,6,19,30,8,7,23,10,6,24,13,
11,33,17,20,46,21,44,69,19,51,77,25,22,46,20,4,22,13,19,73,42,29,106,70,32,113,79,17,69,41,8,34,19,24,94,63,18,74,46,5,22,12,11,45,24,14,58,33,
2,12,7,8,34,28,15,65,40,14,60,37,4,20,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,5,4,0,52,53,14,64,66,22,26,23,8,34,44,10,109,126,33,158,173,52,170,184,57,188,201,64,211,219,74,204,215,72,121,120,39,23,13,5,0,0,0,1,1,0,
0,0,0,0,0,0,6,31,25,40,156,149,67,224,225,73,227,227,65,213,216,37,143,139,26,101,79,23,79,67,7,15,27,7,18,23,18,60,53,23,45,46,17,32,34,17,40,35,
13,30,28,31,26,34,48,55,55,35,64,54,14,29,27,34,38,33,43,41,34,37,39,34,32,35,31,34,26,24,34,15,21,26,15,20,14,21,17,23,18,17,25,16,17,12,15,14,
10,14,10,12,16,12,6,11,8,2,1,1,6,2,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,18,10,10,41,24,14,55,32,
12,48,36,7,28,20,13,52,33,14,53,35,11,44,28,12,48,34,12,47,38,15,54,45,15,52,42,11,42,38,7,27,23,7,26,12,10,36,25,10,37,29,7,29,23,8,30,25,
8,30,25,6,23,19,6,23,20,6,23,19,4,13,11,2,8,5,3,11,5,3,14,9,3,13,13,4,15,13,4,14,10,3,12,9,3,12,9,2,7,3,1,4,1,2,6,2,
2,7,3,2,7,5,2,5,6,1,6,6,1,4,4,0,2,1,0,2,0,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,
1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,2,2,1,2,1,1,1,2,1,1,2,1,2,
1,0,1,1,0,0,2,0,1,2,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,1,1,1,1,0,2,1,0,1,1,0,1,0,1,1,1,1,
1,1,1,3,1,1,3,3,2,4,3,4,4,3,4,1,2,4,1,2,3,3,2,5,4,4,5,5,4,5,5,4,4,1,1,0,1,1,0,5,5,5,6,5,4,6,4,3,
5,2,4,2,1,3,6,5,1,10,9,6,8,7,6,0,1,0,0,1,0,5,4,1,7,7,2,4,10,5,4,18,10,7,17,7,19,27,6,14,27,9,5,22,11,8,28,14,
11,32,16,28,53,18,49,73,20,41,67,23,11,31,14,9,43,24,23,88,53,30,110,76,29,105,72,11,44,24,13,56,36,27,107,74,13,58,36,8,35,20,15,64,37,10,42,24,
2,13,12,15,65,56,17,75,51,11,49,30,2,7,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,14,16,3,73,72,22,64,65,21,39,44,10,62,79,18,127,144,40,164,179,54,175,188,59,192,204,67,210,220,74,189,201,66,92,86,29,11,5,3,0,0,0,0,0,0,
0,0,0,0,0,0,6,24,15,34,138,120,63,217,217,72,227,228,68,219,220,42,159,159,24,97,81,25,91,71,9,27,32,3,7,13,14,53,45,22,52,50,20,32,35,18,40,35,
15,36,32,26,28,34,46,46,50,44,67,59,21,41,35,32,36,29,44,42,34,41,40,35,33,38,34,32,29,25,31,17,22,28,13,20,17,23,20,19,22,18,26,23,22,16,19,19,
9,15,11,11,15,11,7,14,10,1,3,2,6,1,2,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,22,14,12,49,32,13,54,31,
14,55,37,7,29,23,10,38,24,15,57,38,11,46,29,11,46,32,13,49,37,14,50,42,16,55,44,13,48,38,8,31,28,4,19,12,7,28,20,10,37,32,9,33,25,7,26,19,
7,27,21,6,23,18,4,17,15,6,23,19,6,19,16,3,10,8,2,8,3,3,12,6,4,15,10,4,14,13,4,15,12,4,13,8,3,12,9,3,11,7,2,7,3,2,7,3,
2,7,3,2,7,4,2,6,6,2,6,6,2,6,6,1,5,3,1,4,2,1,2,1,1,2,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,
0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,2,1,2,2,1,2,1,0,1,1,0,1,2,1,2,2,1,2,
1,0,1,2,0,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,1,1,0,2,1,0,2,1,0,0,0,0,0,1,1,2,1,1,
2,1,1,3,2,1,3,3,3,3,3,4,3,3,4,1,2,3,2,1,4,3,2,5,4,4,5,5,4,4,2,1,2,0,0,0,3,3,4,6,6,6,6,5,3,5,3,4,
3,1,4,2,2,1,7,6,4,10,8,7,4,3,3,0,0,0,1,1,0,6,5,1,5,3,1,2,6,3,4,16,8,7,10,3,12,18,4,7,22,10,5,23,12,9,30,15,
15,37,16,40,65,19,51,75,22,29,53,20,8,34,18,16,68,39,25,96,62,32,113,81,23,88,56,7,31,16,20,82,56,25,97,65,11,48,28,16,69,45,21,89,56,7,29,18,
6,27,25,17,75,59,16,68,42,8,36,22,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,
4,4,1,38,38,9,87,86,25,67,71,21,68,82,20,100,118,30,139,154,44,161,174,53,174,187,59,198,209,69,207,218,73,167,176,57,62,53,18,3,1,1,0,0,0,0,0,0,
0,0,0,0,0,0,1,7,3,23,98,82,58,205,202,70,228,229,70,223,225,52,187,185,30,121,108,29,109,85,13,47,44,1,0,5,9,40,31,21,60,52,19,30,34,17,37,34,
16,40,36,21,32,36,43,40,46,49,69,60,32,55,44,29,37,29,43,42,36,42,41,36,35,41,36,30,34,30,30,23,23,29,12,19,21,22,22,16,25,21,27,24,23,21,20,22,
10,16,14,10,15,11,10,16,12,2,7,4,5,3,2,6,3,3,1,4,2,3,15,10,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,6,25,16,12,50,33,13,55,34,
13,53,31,8,34,27,6,26,18,14,55,37,14,54,36,10,43,28,12,49,36,12,49,39,14,53,45,14,52,40,10,38,31,4,16,14,3,11,9,8,32,28,9,35,30,7,29,21,
6,23,17,7,25,19,3,14,10,4,16,12,6,23,18,4,14,13,2,8,4,3,9,3,4,16,8,4,15,12,4,14,13,4,14,11,3,12,8,3,12,9,2,9,6,1,6,3,
2,7,3,2,7,3,2,7,5,2,6,6,2,7,6,2,6,6,2,6,4,1,4,2,1,2,1,1,2,1,1,2,1,0,1,1,0,1,1,0,1,1,0,2,1,0,1,0,
0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,1,1,2,1,1,2,1,1,2,1,1,2,1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,
0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,2,0,1,2,1,2,2,0,2,1,0,1,2,1,2,2,1,2,2,0,2,
2,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,2,1,0,2,1,0,1,0,0,1,0,1,1,1,1,2,1,1,
2,1,0,3,2,2,3,3,3,3,2,3,2,2,3,2,2,4,2,1,4,3,2,4,4,3,4,3,3,3,0,0,0,2,1,3,6,6,7,6,6,5,6,4,3,5,2,4,
1,1,3,2,2,1,8,6,6,6,5,5,0,1,0,0,0,0,1,1,0,3,3,1,2,1,0,2,12,6,4,14,6,5,4,0,3,10,4,4,20,10,7,26,13,11,31,16,
25,48,18,48,72,19,46,71,23,16,39,18,10,47,26,20,77,44,27,102,72,31,111,79,15,61,36,10,41,24,27,104,72,19,77,49,12,51,33,24,97,71,21,87,59,6,24,16,
13,53,47,18,78,56,14,60,36,5,22,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,12,3,
37,31,8,78,74,20,91,89,30,66,73,21,87,100,26,122,138,38,143,156,46,162,176,53,178,191,60,199,210,69,199,211,70,137,140,45,36,27,10,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,15,65,52,49,185,178,69,228,228,71,226,227,61,206,203,37,148,136,32,124,103,21,72,62,5,6,10,8,26,18,19,65,51,23,35,38,18,33,33,
17,42,38,17,35,36,38,36,42,50,60,56,39,67,53,26,38,30,40,42,36,44,42,37,38,41,36,30,39,35,29,31,29,30,16,22,25,19,21,16,30,24,24,28,24,22,23,23,
12,20,18,11,19,14,11,17,13,5,11,7,3,6,4,8,8,6,2,5,4,6,27,17,3,11,6,0,0,0,0,0,0,0,0,0,0,0,0,4,18,11,11,47,31,15,60,41,
14,57,34,9,39,25,3,15,11,10,42,26,16,62,44,11,46,29,11,46,32,12,48,37,12,47,40,14,52,40,11,43,32,4,18,14,0,0,1,4,19,17,9,36,31,8,32,25,
6,24,17,6,25,19,5,21,15,3,12,7,5,19,16,5,18,17,2,10,9,2,7,3,3,12,5,4,17,10,4,15,13,4,14,13,4,13,10,3,12,9,3,12,9,2,8,4,
1,6,2,2,7,3,2,7,3,2,6,5,2,7,7,2,7,6,2,6,5,2,6,4,1,4,2,1,2,1,1,3,2,1,3,3,0,1,2,0,2,1,1,2,1,1,2,1,
0,1,0,0,1,0,0,1,0,0,2,0,1,1,1,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,1,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,2,1,2,2,1,2,2,1,2,2,1,2,2,0,1,
2,0,1,2,1,1,2,1,1,1,1,1,1,1,0,1,0,0,1,0,1,1,0,1,1,1,1,2,1,0,2,1,0,1,1,0,1,0,1,1,1,1,2,1,1,2,1,0,
2,2,0,3,2,2,3,2,3,2,1,2,2,2,3,2,1,4,2,2,4,3,2,4,4,2,3,0,0,1,0,0,1,5,4,6,6,6,7,4,4,4,5,3,4,2,1,4,
1,1,3,3,3,4,6,5,6,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,4,2,4,16,8,5,8,3,4,3,1,3,15,8,5,23,12,7,29,15,11,32,16,
31,56,18,47,70,19,35,60,22,9,34,18,15,62,34,22,87,54,30,110,79,27,101,67,9,37,20,19,73,48,29,112,78,14,61,37,16,66,47,26,106,79,16,66,44,10,43,31,
22,91,73,20,83,56,16,68,44,7,30,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,27,22,6,
61,50,14,95,90,27,82,80,29,68,74,21,99,111,30,131,145,41,148,162,48,169,182,56,185,197,63,199,211,70,186,197,64,105,103,33,20,13,5,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,6,7,15,65,53,42,163,151,66,223,223,71,227,227,66,217,216,45,172,161,34,134,111,25,94,74,11,22,22,7,13,8,19,58,45,29,45,43,22,34,35,
24,57,46,17,42,39,31,32,38,49,50,50,46,72,59,26,45,34,36,39,30,45,43,38,41,41,36,33,42,38,29,37,35,29,24,26,25,17,17,15,30,24,18,31,24,22,25,23,
13,20,19,12,22,17,12,18,14,8,13,10,2,7,5,8,11,8,5,6,5,5,22,13,6,26,16,0,2,1,0,0,0,0,0,0,0,0,0,1,5,3,8,35,23,14,56,39,
16,63,41,12,49,28,4,17,11,5,22,13,16,60,41,15,56,38,10,44,28,13,49,37,11,45,36,13,48,39,13,48,33,7,27,15,1,3,2,1,6,5,8,30,26,9,33,29,
6,25,19,5,21,16,6,25,20,4,16,11,3,13,9,5,20,18,4,15,15,2,9,7,2,8,3,4,15,7,5,18,13,4,14,13,4,13,12,3,12,8,3,12,9,3,11,8,
2,7,3,2,6,2,2,7,3,2,6,3,2,7,5,2,7,6,2,6,6,2,6,5,2,6,4,1,4,2,1,3,1,1,4,3,1,4,3,1,2,2,1,3,1,1,3,1,
1,2,1,0,1,0,1,1,1,1,2,1,1,2,1,1,2,1,1,1,2,1,2,2,1,2,2,1,2,2,1,2,2,0,2,2,0,1,1,0,1,1,0,1,1,0,1,1,
0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,
0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,2,1,2,2,1,2,2,1,2,2,0,2,2,0,1,2,1,1,
2,1,1,2,1,2,2,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,2,1,0,1,1,0,1,0,0,1,1,1,2,1,1,2,1,1,2,1,0,
2,2,1,2,2,2,2,1,2,2,0,1,2,1,4,2,1,4,3,2,4,3,2,3,1,1,2,0,0,0,3,2,4,5,4,6,3,3,4,3,1,3,4,1,4,1,1,3,
2,3,4,6,4,6,4,2,4,0,0,0,0,0,0,0,0,0,1,0,2,1,0,2,2,11,6,4,14,7,5,4,1,2,2,1,2,10,6,6,24,12,6,29,15,14,35,15,
34,56,15,40,64,20,17,40,18,9,41,22,18,73,41,26,97,66,31,112,82,19,76,47,7,33,18,27,103,72,27,103,70,12,51,31,21,87,63,25,101,73,11,48,30,17,74,57,
25,104,78,20,83,53,16,70,46,6,26,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,3,5,1,18,20,4,50,43,13,
80,68,23,102,95,34,76,77,27,75,84,23,111,125,34,137,151,44,156,169,51,176,187,59,191,202,65,198,210,69,164,172,55,74,67,22,10,4,3,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,3,3,11,52,47,36,143,131,61,213,211,70,227,227,69,222,223,53,191,183,35,140,123,29,109,87,16,46,39,8,8,5,16,43,32,33,57,48,29,35,36,
33,64,51,26,54,46,24,32,36,44,40,43,49,68,58,34,56,42,32,36,24,45,44,37,42,42,37,35,42,38,30,41,38,28,33,30,22,17,15,14,26,19,14,32,24,21,27,24,
16,20,20,12,22,18,10,20,13,4,15,10,2,8,5,6,11,8,9,13,10,4,14,9,8,34,22,3,10,7,0,0,0,0,0,0,0,0,0,0,0,0,5,20,12,12,48,32,
16,62,41,15,61,39,10,39,28,3,10,6,12,46,30,17,64,46,11,46,30,11,46,32,12,47,35,10,41,32,14,50,38,10,39,23,4,13,7,0,0,0,4,15,14,9,33,29,
7,27,23,5,20,15,5,20,17,5,22,17,3,15,11,4,18,15,5,19,17,2,11,10,2,5,3,2,8,3,5,17,11,5,17,14,3,13,12,3,11,8,3,12,7,3,13,9,
3,11,8,1,7,3,1,6,2,2,7,3,2,7,3,2,7,5,2,7,6,2,6,6,2,6,5,2,6,4,1,4,2,1,4,2,1,4,3,1,4,3,1,3,2,1,3,2,
1,3,1,1,2,1,1,1,2,1,2,2,1,2,1,1,2,1,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,0,2,2,0,1,1,0,1,1,
0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,
0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,2,1,2,2,1,2,2,1,2,2,1,2,2,0,2,2,0,2,2,1,1,2,1,2,
2,1,1,2,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,2,1,1,2,1,1,1,0,0,1,1,0,
1,0,1,2,1,2,2,0,1,2,0,2,3,1,4,3,2,4,3,2,4,3,2,3,0,0,0,1,1,3,5,5,7,4,4,6,3,1,3,4,1,3,2,1,4,1,1,4,
4,4,6,6,4,6,1,1,2,0,0,0,0,0,0,0,0,1,2,1,4,2,4,4,4,16,7,5,9,3,4,3,1,0,0,0,2,9,5,6,29,14,6,22,10,20,35,10,
31,50,13,21,44,17,6,29,16,13,56,30,21,83,50,30,107,77,29,107,73,11,47,26,14,55,36,32,119,84,20,80,51,13,57,39,26,102,76,19,79,55,10,43,28,23,94,75,
24,99,70,19,78,50,14,59,38,2,10,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,4,1,30,24,6,34,39,9,59,62,14,87,71,23,
93,81,29,101,98,36,81,89,27,89,101,27,122,136,38,144,156,46,171,181,55,185,193,61,191,203,65,191,203,66,137,142,45,47,38,13,3,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,7,31,30,29,121,109,54,199,195,69,226,227,69,224,224,60,206,202,38,150,137,28,111,95,17,58,51,9,9,9,10,27,16,32,63,45,33,37,35,
35,55,46,33,67,53,23,38,38,40,36,38,49,59,51,41,68,52,30,38,24,43,41,33,43,43,36,36,41,37,30,43,40,29,39,35,22,22,18,16,20,14,12,32,24,20,32,26,
20,25,23,12,21,19,11,21,16,4,16,11,2,10,6,3,8,6,9,17,12,5,10,7,6,28,17,5,24,15,0,0,0,0,0,0,0,0,0,0,0,0,1,6,3,10,41,26,
15,62,43,17,65,44,15,57,41,5,21,14,7,29,18,18,66,49,15,57,40,10,42,27,11,42,30,9,35,25,11,42,33,12,46,31,5,20,10,0,0,0,0,3,3,6,25,22,
8,32,28,6,24,20,4,18,14,5,20,18,5,20,16,4,15,13,4,17,14,3,11,9,1,2,2,0,1,0,2,8,3,5,16,11,4,14,13,3,10,9,3,11,6,3,12,8,
3,13,10,2,10,6,1,6,2,2,7,3,2,7,3,2,7,3,2,7,5,2,6,6,2,6,5,2,6,5,2,6,4,1,4,2,1,4,2,1,4,3,1,3,3,1,3,3,
1,3,2,1,3,1,2,3,3,2,3,3,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,
0,1,1,0,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,
0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,2,1,2,2,1,2,2,1,2,2,0,2,2,0,2,3,0,2,3,1,2,3,1,2,3,1,2,
2,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,2,1,1,2,1,0,0,0,0,0,0,0,
1,0,1,2,0,1,2,0,2,2,1,3,3,2,4,3,2,4,3,2,3,0,1,1,0,0,1,4,4,6,5,5,7,3,2,3,4,1,3,3,1,5,1,2,4,4,4,7,
7,5,8,4,3,5,0,0,0,0,0,0,0,0,0,1,1,2,2,1,4,3,12,6,5,14,6,5,4,1,1,1,0,0,1,0,5,21,11,6,28,13,9,20,7,26,40,8,
26,46,14,10,31,15,8,37,20,17,70,39,25,93,61,31,110,78,22,85,53,7,30,16,23,90,62,30,112,78,13,57,34,19,77,55,27,105,76,13,58,38,15,66,49,28,109,84,
22,92,61,17,73,48,9,41,26,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19,15,4,57,46,14,55,60,16,90,83,23,105,85,32,
98,89,33,99,102,35,103,117,33,117,134,36,136,148,42,159,169,50,179,187,59,185,194,65,192,204,66,175,187,60,107,107,34,26,18,7,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,2,10,10,20,89,79,47,180,170,66,223,224,69,225,225,64,214,213,44,168,155,29,119,105,19,74,67,13,20,18,7,10,3,24,55,37,34,44,38,
35,43,38,38,71,55,25,45,41,34,37,37,46,48,46,46,73,58,30,47,31,37,37,26,44,44,37,36,42,37,31,44,40,30,42,38,25,29,26,18,17,12,12,30,22,17,35,28,
22,31,28,14,21,21,12,23,18,8,21,14,3,15,10,1,7,5,8,15,11,8,13,10,4,16,10,8,35,22,2,9,5,1,4,2,1,7,4,0,2,1,1,3,1,7,31,20,
16,65,46,17,67,47,16,63,44,11,42,31,3,15,9,14,52,36,18,67,49,10,42,27,8,34,22,9,37,25,8,34,24,12,46,35,7,29,19,0,2,1,0,0,0,3,10,9,
8,31,27,7,28,25,4,19,14,4,14,13,4,18,17,4,13,13,3,12,9,3,10,5,0,2,1,0,0,0,0,0,0,2,6,3,4,16,12,4,13,12,2,10,8,3,11,6,
3,11,6,3,11,6,3,9,3,1,6,2,2,7,3,2,7,3,2,6,3,1,6,3,1,5,5,2,6,5,2,6,5,2,6,5,1,5,2,1,4,2,1,3,3,1,3,3,
1,3,3,1,3,2,1,3,2,2,3,3,2,3,3,2,3,3,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,
1,2,1,1,2,1,1,2,1,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,
0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,2,0,1,2,1,2,2,1,2,2,1,2,2,0,1,2,0,1,3,1,2,3,1,3,3,1,3,3,1,3,2,1,1,
0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,
2,0,0,2,0,1,2,0,3,4,2,3,3,2,3,3,2,3,1,1,2,0,0,0,3,3,4,5,5,7,4,4,5,3,1,3,4,2,4,2,3,5,2,3,6,6,5,8,
6,4,7,1,0,1,0,0,0,0,0,0,1,1,1,2,1,5,2,6,4,3,15,7,5,8,4,4,3,1,0,0,0,2,9,5,6,29,14,6,21,10,19,30,7,30,48,12,
21,42,16,6,27,15,13,54,29,21,81,49,27,99,68,27,100,63,14,58,32,11,48,30,31,115,81,23,90,59,12,52,34,24,96,71,23,93,65,12,54,34,26,105,85,30,119,96,
21,88,59,15,66,42,4,18,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,27,8,62,52,19,65,66,21,102,83,28,106,86,37,
107,99,37,102,111,35,119,133,37,128,142,41,144,155,46,171,179,55,176,183,60,182,192,66,187,200,65,155,164,52,79,73,23,12,5,3,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,15,65,57,40,157,142,61,214,213,68,225,225,67,220,219,50,183,173,33,134,119,26,105,96,11,33,29,8,5,0,14,36,22,33,50,40,
33,35,33,38,65,51,32,57,47,29,37,37,44,41,41,47,66,55,38,63,45,34,38,24,44,43,36,39,42,36,35,44,40,32,44,41,27,37,33,18,18,13,12,24,17,14,35,27,
22,35,31,17,24,24,14,25,21,12,27,20,5,21,13,2,9,5,4,10,7,10,17,12,4,10,6,7,29,17,5,20,12,2,6,4,6,26,16,7,27,17,7,28,17,6,24,15,
15,61,43,17,70,50,16,64,44,15,59,43,6,24,17,6,26,16,18,66,48,13,51,37,6,27,17,9,36,24,8,34,23,10,37,28,11,42,31,4,15,9,0,0,0,0,1,1,
5,19,16,8,32,27,4,17,12,3,12,7,3,15,14,3,14,14,2,10,11,2,9,7,2,8,2,0,1,0,0,0,0,0,0,0,3,8,4,4,16,13,3,12,11,2,10,8,
3,11,5,3,11,5,3,11,5,2,9,4,1,6,4,2,7,3,2,7,3,2,6,2,1,5,2,2,6,4,2,6,6,2,6,5,2,6,5,1,5,3,1,4,2,1,3,2,
1,3,3,1,3,3,1,4,3,1,3,2,2,3,2,2,3,3,2,3,3,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,
1,2,2,1,2,2,1,2,1,1,2,1,0,2,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,2,0,1,2,1,2,2,1,2,1,1,1,2,0,1,3,1,2,3,1,3,3,1,3,3,1,3,2,0,1,0,0,0,
1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,
2,0,1,2,1,3,4,1,3,4,2,3,3,2,3,2,2,3,0,0,0,2,1,3,5,5,7,5,5,6,3,1,4,3,1,5,3,2,5,2,3,6,4,3,8,5,3,8,
2,1,3,0,0,0,0,0,0,0,0,0,2,1,4,2,0,4,1,4,2,3,7,4,5,5,2,1,1,0,0,2,1,5,21,11,6,28,14,7,16,7,23,34,7,26,46,14,
12,33,15,7,34,18,16,65,36,22,88,55,27,101,68,21,84,52,12,49,29,23,88,62,32,118,84,16,64,40,16,68,47,28,109,81,19,80,54,20,81,59,34,128,110,30,119,96,
21,87,58,12,50,32,2,7,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,6,1,51,39,13,63,58,22,78,74,22,108,84,32,109,92,38,
101,98,35,108,120,36,125,137,39,133,144,43,154,163,48,175,183,59,173,180,61,178,190,63,171,184,57,120,123,38,45,36,12,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,10,43,38,34,140,120,56,202,197,67,224,225,68,223,223,57,200,194,37,147,131,30,122,112,15,60,53,10,11,5,8,15,9,31,60,43,
35,39,34,35,51,41,37,71,53,28,43,39,40,38,39,46,56,49,44,71,55,34,45,28,41,41,31,41,43,37,36,44,39,34,45,42,29,41,37,17,25,20,7,19,13,10,32,24,
19,36,29,21,29,27,14,25,22,13,29,23,8,24,17,3,14,9,2,7,4,9,16,12,7,12,9,4,17,10,8,33,20,2,9,5,7,28,17,13,52,34,13,53,34,7,31,19,
10,42,29,19,74,53,18,69,48,16,65,44,12,48,35,3,16,10,12,46,31,18,65,49,9,35,24,7,29,19,9,37,26,8,33,22,10,41,31,9,33,23,2,6,3,0,0,0,
1,4,4,6,25,22,6,24,19,2,7,3,2,8,6,3,15,15,4,13,14,2,10,11,2,10,5,2,6,2,0,1,0,0,0,0,0,0,0,3,10,6,4,15,13,2,10,10,
2,9,6,3,10,5,3,11,5,3,11,5,2,8,5,1,6,4,2,7,3,2,7,3,2,6,2,1,5,2,2,5,4,2,6,5,2,6,5,2,6,4,2,5,3,1,4,2,
1,3,1,0,2,2,1,3,3,1,3,3,1,3,3,1,3,2,2,3,3,2,3,3,1,2,3,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,2,
1,2,2,1,2,2,0,2,2,0,2,2,0,2,1,0,1,1,0,1,1,0,2,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,1,1,0,1,1,0,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,2,2,1,1,3,1,2,3,1,3,3,1,3,3,1,2,3,1,2,1,0,0,1,0,1,
1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,
2,1,2,3,1,3,4,2,2,3,2,3,2,2,3,0,0,0,1,0,2,5,4,6,5,5,7,3,2,5,3,1,5,3,2,6,2,3,5,3,3,7,5,3,8,3,1,5,
0,0,1,0,0,0,0,0,0,1,1,1,2,1,5,1,1,2,0,0,0,1,1,0,3,2,0,0,0,0,3,10,5,7,31,15,5,18,9,3,5,1,11,20,6,16,38,14,
6,28,15,10,46,24,15,65,37,24,92,61,24,93,59,14,60,36,14,61,39,33,119,88,27,103,72,13,53,32,22,89,64,27,107,76,21,85,58,29,113,90,35,132,116,27,110,83,
17,74,47,6,27,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,17,4,71,59,20,78,75,25,96,82,25,117,95,38,111,98,38,
100,104,35,114,127,35,127,140,40,138,149,44,164,172,52,177,183,60,172,181,60,174,187,59,156,167,51,88,86,27,23,17,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,3,15,14,27,112,94,51,189,176,65,220,221,68,224,224,64,214,210,43,165,152,33,134,120,21,89,79,12,26,18,7,8,3,25,59,39,
35,49,38,35,38,29,39,67,47,29,49,43,35,37,38,45,44,43,47,72,57,37,57,37,38,39,26,43,43,37,37,42,36,35,45,41,31,44,40,17,34,28,5,21,13,7,28,20,
16,35,28,23,34,31,17,27,25,15,30,25,11,27,20,5,19,13,1,8,5,6,12,9,10,19,13,3,13,8,7,31,20,8,33,21,6,26,16,12,48,31,14,59,38,11,46,29,
6,28,17,17,67,48,21,78,59,18,69,48,17,64,46,8,32,22,5,21,13,16,62,45,16,57,41,7,28,18,9,34,22,9,36,24,7,28,20,9,36,27,5,18,12,0,0,0,
0,0,0,3,9,9,6,26,23,3,12,10,0,0,0,3,9,9,4,15,15,3,13,13,2,10,9,2,9,5,1,5,1,0,0,0,0,0,0,0,1,0,3,10,6,3,12,11,
2,5,5,1,7,3,2,10,5,2,9,4,2,8,4,1,7,5,1,6,4,2,7,3,2,6,3,1,5,2,1,4,1,1,5,4,1,5,4,2,6,4,2,5,4,2,4,3,
1,3,1,0,2,1,0,2,2,0,2,3,1,3,3,1,3,1,1,3,1,2,3,2,2,3,3,2,2,3,1,2,3,1,2,2,1,2,2,1,1,2,0,1,1,1,1,2,
1,2,2,1,2,2,1,2,2,0,2,2,0,1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,2,1,2,3,1,3,3,1,3,3,1,3,3,1,2,3,1,1,2,1,1,2,1,2,2,1,1,
1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,
3,1,3,4,2,3,4,2,3,2,2,3,0,1,1,0,0,1,4,3,5,5,5,7,4,3,6,3,1,5,3,2,6,2,3,6,3,4,7,5,3,8,4,2,7,1,0,2,
0,0,0,0,0,0,0,1,0,2,1,5,2,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,6,23,11,7,28,14,1,6,3,0,0,0,4,15,7,6,26,13,
7,35,18,12,54,29,18,73,45,25,96,62,20,82,50,11,49,30,23,89,62,35,126,94,18,74,49,15,63,42,26,103,76,23,93,64,24,99,71,35,131,112,33,128,107,22,93,64,
13,58,36,4,22,12,2,8,4,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,46,37,11,86,75,27,89,84,26,109,90,31,130,108,44,116,108,40,
101,110,35,122,135,38,134,145,43,152,163,48,171,179,57,180,185,62,175,185,61,174,187,59,137,143,44,62,56,18,10,5,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,17,74,63,44,172,153,62,215,214,67,224,224,65,219,217,50,186,174,35,139,125,28,113,102,15,54,42,7,5,1,14,32,20,
34,58,42,34,32,22,39,57,37,34,64,47,29,38,36,42,39,38,47,60,52,42,69,50,36,42,26,42,41,31,39,39,32,35,44,38,32,44,41,23,40,35,8,25,18,5,23,15,
11,33,25,22,37,33,20,33,31,15,31,27,14,30,23,7,23,16,3,12,8,3,8,5,10,21,14,6,17,11,4,18,12,13,53,35,11,45,29,9,38,24,13,55,36,14,56,36,
8,35,22,12,51,34,22,84,64,21,79,60,19,73,52,15,56,40,4,17,11,9,37,24,19,68,49,11,42,30,6,26,16,9,37,26,7,31,21,6,24,19,7,26,21,1,5,3,
0,0,0,0,0,0,4,15,14,6,25,22,2,7,6,0,1,1,3,11,11,3,13,13,2,9,10,2,10,9,2,8,4,1,2,1,0,0,0,0,0,0,0,2,0,3,9,6,
3,10,8,1,3,2,1,3,1,1,4,2,1,3,1,1,6,3,1,6,5,1,6,4,1,5,3,1,2,1,1,1,0,1,3,1,1,4,1,1,4,1,2,5,3,2,4,3,
2,2,3,1,1,2,1,2,1,0,2,1,0,2,1,0,1,1,1,1,1,2,2,2,2,3,2,2,2,3,2,2,3,1,2,3,1,2,2,1,1,1,0,1,0,0,1,1,
0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,2,1,2,3,1,2,3,1,2,3,1,3,3,1,2,3,1,1,2,1,1,2,0,1,2,1,2,2,1,2,2,0,1,
2,1,1,2,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,3,1,1,
4,1,2,4,2,2,2,2,3,0,1,1,0,0,1,3,2,4,5,4,6,4,4,6,3,1,5,4,2,6,4,3,7,4,4,7,4,4,8,4,2,8,2,1,3,0,0,0,
0,0,0,0,0,0,2,1,3,2,1,5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,12,7,7,31,15,4,16,8,0,0,0,1,2,1,4,20,9,5,26,14,
11,47,24,15,62,36,23,88,56,24,93,59,14,61,37,14,59,37,32,117,88,31,116,85,14,61,39,21,85,60,26,104,76,22,90,60,30,115,90,36,135,118,29,116,90,19,79,52,
12,50,29,7,36,16,4,17,8,0,0,0,0,0,0,1,3,2,4,19,11,3,12,8,0,0,0,11,8,2,68,55,18,96,87,31,102,89,31,120,97,38,136,117,47,119,119,45,
111,123,37,126,137,39,142,155,45,166,176,53,179,187,61,184,187,63,176,185,60,162,175,53,112,114,35,41,33,11,4,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,35,32,35,142,122,58,207,200,66,223,224,65,221,221,57,204,195,41,160,144,34,137,123,24,96,79,13,32,18,12,31,16,
31,66,47,35,39,27,35,39,22,38,67,44,28,44,38,37,35,31,45,48,43,47,73,57,37,52,32,39,38,26,39,38,27,34,40,31,32,45,41,26,42,38,13,32,25,4,20,13,
8,30,21,16,36,30,18,36,34,12,31,28,14,31,25,11,26,19,4,17,11,1,6,4,6,19,12,9,34,22,3,14,8,11,41,26,16,65,45,12,49,36,12,50,34,14,57,37,
13,52,33,11,47,31,20,76,56,23,86,67,21,76,57,17,64,47,9,37,27,3,15,9,14,53,36,15,59,42,7,29,18,7,30,20,9,38,26,5,24,17,6,23,20,5,19,15,
0,1,1,0,0,0,0,2,2,5,20,18,6,22,19,1,3,3,0,2,2,1,7,7,1,4,4,2,8,8,2,9,7,1,2,1,0,0,0,0,0,0,0,0,0,0,1,1,
3,9,6,3,10,7,1,2,2,0,0,0,0,0,0,1,2,0,1,5,3,1,6,5,1,5,5,1,2,2,0,0,0,0,1,0,1,3,1,1,3,1,0,3,1,1,3,1,
2,3,3,1,1,3,1,1,2,1,2,1,1,2,2,0,1,2,0,1,2,1,1,2,3,1,3,3,2,4,3,2,3,3,2,3,2,2,2,1,2,2,1,1,2,1,1,1,
0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,1,2,1,2,2,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,1,2,1,2,2,1,2,1,1,1,1,0,1,2,1,2,
3,1,2,2,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,0,3,1,1,4,1,1,
4,1,1,2,1,1,0,1,1,0,0,0,2,1,4,5,4,6,5,4,6,2,1,5,4,1,6,4,3,7,4,4,8,4,4,8,4,3,8,3,1,4,0,0,0,0,0,0,
0,0,0,1,1,1,2,1,5,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,4,3,7,26,13,7,26,13,1,4,2,0,0,0,3,13,6,5,24,12,9,37,20,
12,54,29,18,73,46,25,97,62,20,79,48,11,48,29,22,87,60,36,129,99,24,92,64,16,68,46,26,102,75,23,95,66,24,98,69,34,130,111,37,138,122,28,112,85,16,67,43,
11,48,25,10,45,20,2,9,5,0,0,0,0,0,0,3,14,8,11,49,30,3,17,10,0,0,0,32,25,6,85,71,25,100,90,33,108,89,34,125,103,43,135,124,49,124,134,46,
128,143,40,132,143,42,152,165,49,174,183,58,189,192,64,190,189,65,171,181,58,143,153,46,87,87,26,23,17,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,11,11,22,98,84,52,193,179,65,221,221,66,222,222,62,214,208,49,183,166,38,149,136,31,125,108,22,68,46,21,47,26,
27,68,46,36,52,37,34,30,13,40,61,34,31,57,43,29,35,31,41,40,34,47,64,53,42,65,44,36,42,26,40,40,29,34,37,27,32,44,38,25,44,40,18,37,32,7,23,15,
6,25,16,10,34,26,12,36,32,9,32,30,12,31,26,15,29,23,6,20,14,2,9,7,3,15,10,13,51,34,9,36,22,4,17,10,15,63,43,19,76,61,16,62,48,13,56,36,
15,62,41,14,58,39,15,61,43,23,84,64,22,81,62,17,65,49,15,58,44,6,26,18,5,24,15,15,59,41,11,44,30,6,24,15,8,36,24,9,36,24,5,20,16,6,24,21,
3,13,9,0,0,0,0,0,0,2,5,5,6,23,21,5,18,16,1,2,1,0,0,0,0,0,0,1,2,2,2,9,9,2,6,6,0,0,0,0,0,0,0,0,0,0,0,0,
0,2,1,3,9,6,3,10,7,0,3,2,0,0,0,0,0,0,1,1,0,1,5,2,1,6,5,1,5,5,1,2,2,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,
1,2,0,1,3,3,1,2,3,1,2,3,2,1,3,2,1,4,2,2,4,1,1,3,1,1,3,3,1,4,3,2,4,3,2,4,3,2,3,3,1,3,2,1,3,2,1,3,
2,1,3,1,1,2,1,1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,
1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,2,0,1,2,1,2,3,1,2,3,1,2,3,1,1,3,1,1,4,1,2,3,1,3,3,1,3,3,1,3,2,1,1,1,0,1,3,1,3,3,1,2,
1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,3,1,1,4,1,1,3,1,1,
1,0,0,0,0,0,0,0,0,2,1,3,5,4,6,5,4,6,2,1,4,3,1,5,4,3,6,4,4,8,4,4,8,4,3,7,3,1,4,1,0,1,0,0,0,0,0,1,
0,0,2,2,1,4,1,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,17,9,7,31,15,4,12,6,0,0,0,2,7,3,4,22,11,6,28,15,12,49,26,
15,60,34,21,83,53,23,89,55,14,59,35,14,59,38,32,117,88,32,118,88,17,70,45,20,85,62,26,105,76,23,95,64,29,115,90,38,137,122,36,136,114,24,99,70,12,54,33,
11,50,24,7,31,15,0,0,0,0,0,0,0,1,0,7,34,21,11,45,28,2,8,4,6,5,1,63,58,16,97,90,31,98,86,32,118,94,37,135,116,47,128,126,48,130,143,45,
133,147,42,137,149,44,158,169,50,180,186,60,197,195,67,189,188,69,155,164,54,121,127,38,59,53,17,8,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,61,53,43,168,148,62,215,211,66,222,222,64,219,216,56,200,186,42,161,146,32,132,119,28,93,72,28,49,29,
31,67,42,36,68,51,35,38,24,39,49,24,38,69,46,26,42,36,37,39,32,45,53,46,48,75,55,37,52,32,39,41,30,37,38,26,32,41,33,27,44,40,23,41,36,11,30,22,
5,21,13,8,31,23,10,36,30,9,35,33,10,32,29,15,33,26,9,23,18,3,15,13,2,10,7,10,40,26,15,57,39,5,20,12,9,34,22,21,83,63,23,85,70,16,62,44,
17,67,45,18,72,51,14,57,38,18,71,51,23,85,65,20,75,56,18,68,50,14,53,40,4,15,10,7,30,20,13,53,38,8,32,21,7,27,17,8,33,22,6,25,17,4,15,13,
5,18,13,2,7,4,0,0,0,0,0,0,3,9,8,6,24,22,3,12,11,0,0,0,0,0,0,0,0,0,1,2,2,2,9,9,2,6,6,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,1,3,9,6,3,9,7,1,3,2,0,0,0,0,0,0,1,1,0,1,4,1,1,6,5,1,6,5,1,3,3,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,2,0,1,3,2,2,3,3,2,2,4,2,1,4,2,2,4,2,2,4,1,2,4,1,1,4,1,1,3,2,1,4,3,2,4,3,2,4,3,2,4,3,1,4,
3,1,4,2,1,3,2,1,3,2,1,3,1,1,2,1,0,2,1,0,2,1,0,2,1,0,2,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,
1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,1,0,0,2,0,1,3,1,2,3,1,1,3,1,2,3,1,2,4,1,3,4,1,3,4,1,4,4,1,3,3,1,3,3,1,3,2,1,2,1,0,1,
0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,1,1,4,1,1,3,1,1,0,0,0,
0,0,0,0,0,0,1,1,2,4,3,6,5,4,6,3,3,5,2,1,4,2,1,4,4,4,7,4,4,8,4,4,7,2,1,4,0,0,0,0,0,0,1,0,2,3,1,5,
4,2,7,2,1,5,1,1,3,1,1,2,0,0,0,0,0,0,0,0,0,2,8,5,7,30,15,6,22,11,1,2,1,0,0,0,1,4,2,4,20,11,10,41,22,13,56,30,
17,68,42,20,81,52,15,62,40,11,47,28,23,91,63,36,129,98,23,91,63,16,68,47,25,101,75,26,103,73,28,111,81,35,131,110,38,140,124,31,122,96,17,73,48,10,45,24,
10,47,22,6,27,16,15,21,11,7,4,1,1,9,5,9,46,28,18,37,19,22,16,4,33,30,7,101,97,29,116,110,39,104,87,33,133,110,44,143,128,51,129,135,49,136,150,44,
133,144,42,142,155,45,162,169,52,186,189,62,198,194,71,177,179,69,136,144,48,95,98,29,35,29,10,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,28,24,35,140,117,56,203,193,65,220,221,65,220,220,61,213,205,49,184,166,35,142,128,30,110,93,31,57,36,
32,61,34,38,91,73,45,85,71,37,40,19,39,63,36,29,53,41,33,38,32,43,43,38,48,67,54,42,67,44,37,42,28,39,40,29,34,37,27,31,44,39,25,44,39,18,36,30,
6,23,15,7,26,18,9,34,26,10,37,33,9,35,32,13,34,29,13,28,22,6,21,16,3,15,12,5,19,12,14,56,38,11,44,29,4,16,9,14,58,40,24,92,73,20,76,60,
15,63,43,19,76,53,18,68,47,14,59,40,21,79,60,23,83,64,19,71,52,17,65,49,10,40,29,2,10,6,10,40,27,12,49,35,6,25,16,4,16,10,4,15,10,4,14,9,
3,10,6,3,15,9,2,4,3,0,0,0,0,0,0,3,10,10,4,17,17,2,8,8,0,0,0,0,0,0,0,0,0,1,3,3,2,9,9,1,5,5,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,2,5,5,2,6,7,1,3,2,0,0,0,0,0,0,0,0,0,1,3,1,1,6,4,1,6,5,1,4,4,1,1,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,2,0,1,2,1,1,1,2,2,1,4,2,2,4,2,2,4,2,2,4,1,2,4,1,1,3,2,1,4,3,2,4,4,2,4,3,2,4,
3,2,4,3,2,4,3,2,4,3,1,4,2,1,3,2,1,3,1,1,2,1,1,2,1,1,2,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,2,1,0,3,1,1,3,1,2,4,1,2,3,1,3,4,1,4,4,1,4,5,2,5,6,2,5,5,1,5,3,1,3,2,0,2,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,1,4,1,1,3,1,1,0,0,0,0,0,0,
0,0,0,0,0,1,2,2,4,3,3,6,2,3,5,2,1,4,2,1,4,3,4,6,4,4,8,4,4,8,2,1,4,0,0,1,0,0,0,0,0,1,3,1,6,5,2,9,
5,2,9,2,1,4,2,1,4,1,1,2,0,0,0,0,0,0,1,2,1,5,23,11,7,28,14,2,8,4,0,0,0,0,0,0,1,3,1,6,26,13,10,40,21,12,51,30,
18,74,46,16,64,42,10,41,25,15,62,40,32,117,85,30,112,81,16,68,44,21,87,64,26,106,78,27,106,75,32,124,98,38,139,122,38,142,120,28,110,80,14,61,38,12,51,25,
10,47,24,14,50,32,33,48,26,13,11,3,4,25,16,10,47,29,27,30,10,29,22,7,64,63,16,121,116,37,112,104,37,117,96,35,146,124,50,140,133,53,130,142,47,137,149,44,
137,148,44,150,161,48,167,174,54,194,193,65,193,189,73,160,165,63,119,126,40,68,65,20,18,11,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,10,8,27,113,88,49,186,166,61,213,213,64,220,221,63,218,215,56,200,184,43,159,140,31,121,104,27,67,47,
33,53,29,35,85,61,44,103,87,40,55,35,40,52,23,33,63,43,28,41,35,41,40,33,46,54,46,46,75,52,36,47,28,39,41,30,37,37,26,32,42,35,27,45,40,22,40,36,
10,28,21,5,22,13,9,33,25,10,37,31,9,36,34,10,34,31,15,32,26,9,25,18,5,20,16,3,13,9,8,34,22,16,60,41,6,26,17,6,26,16,20,77,57,24,90,73,
17,67,49,17,68,47,20,77,54,15,62,42,17,65,45,23,84,64,22,79,60,18,68,50,16,62,46,7,27,19,3,14,8,12,48,33,11,43,30,3,11,7,1,3,1,3,12,7,
3,13,8,3,11,7,3,13,8,0,2,2,0,0,0,0,1,1,3,10,10,3,11,11,0,1,1,0,0,0,0,0,0,0,0,0,1,4,4,2,9,9,1,5,5,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,1,3,3,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,2,1,1,4,4,1,4,4,1,2,2,0,1,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,1,3,2,2,3,2,1,4,2,2,4,2,2,4,2,2,4,2,2,4,2,2,4,3,2,4,
3,2,4,3,2,4,3,2,4,3,2,4,3,2,3,2,1,3,2,1,3,1,1,3,1,1,3,1,1,3,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,1,2,1,1,3,1,2,4,1,3,4,1,3,4,1,4,4,1,4,5,1,4,6,2,5,6,2,5,6,2,5,3,1,3,3,1,2,2,1,2,0,0,0,0,0,0,
0,0,0,1,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,1,1,4,1,1,3,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,1,1,2,2,2,4,2,2,4,2,1,4,2,1,4,3,3,6,4,4,8,4,4,8,2,1,5,1,0,3,1,0,1,0,0,1,3,2,5,6,2,9,5,2,10,
3,2,5,2,1,5,1,1,2,0,0,0,0,0,0,0,0,0,2,5,2,5,19,8,3,14,7,0,0,0,0,0,0,0,0,0,3,14,7,8,35,17,7,31,18,14,57,36,
18,73,46,11,45,29,10,44,27,25,96,67,33,122,88,20,80,53,16,69,48,26,102,76,26,104,74,30,116,87,37,135,115,40,146,129,38,139,111,24,97,67,14,63,36,16,69,38,
15,69,45,33,78,49,45,63,36,10,15,10,9,45,28,19,44,22,32,26,7,37,30,11,99,92,27,121,116,41,110,95,36,137,118,44,154,137,55,132,134,53,133,146,44,133,145,42,
141,153,46,157,166,50,171,176,57,193,188,67,180,179,71,145,153,55,103,107,32,43,37,12,6,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,6,3,16,68,53,41,162,134,56,203,196,63,218,218,63,219,218,60,209,196,52,177,155,37,135,120,24,76,65,
30,46,28,33,68,43,39,98,80,44,82,62,40,44,19,40,64,36,28,50,39,35,38,31,42,43,35,45,66,49,39,58,35,37,42,28,39,39,27,33,37,28,27,44,38,23,42,37,
17,35,29,6,23,14,8,30,22,10,37,29,10,37,33,9,34,32,12,34,29,11,29,22,6,23,17,4,17,13,5,20,14,15,56,39,14,52,36,5,20,13,13,52,34,25,91,71,
23,83,67,16,65,44,20,77,53,20,77,55,14,59,39,19,72,52,23,85,67,21,77,59,18,67,50,15,55,40,4,17,11,5,22,14,10,44,30,7,25,16,1,4,1,2,4,2,
3,13,8,2,7,4,3,10,7,3,12,8,0,1,1,0,0,0,0,1,1,1,2,2,0,0,0,0,0,0,0,0,0,0,2,0,1,3,1,1,4,5,2,9,9,1,5,5,
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,1,4,4,0,3,3,
1,0,1,2,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,1,1,2,1,1,2,1,1,2,1,2,3,2,2,4,2,2,4,2,2,5,
2,2,4,2,2,4,3,2,4,3,2,4,3,2,4,2,2,4,2,1,3,2,1,3,2,1,3,2,1,3,1,1,2,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,
1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,
2,1,2,2,1,2,3,1,2,4,1,4,4,1,4,5,1,4,5,2,5,6,2,5,6,2,5,6,2,4,5,1,3,3,1,3,3,1,3,1,1,1,0,0,0,1,0,0,
2,1,1,5,1,1,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,1,1,4,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,1,
1,1,1,1,1,3,1,1,3,2,1,4,2,1,4,3,3,6,4,4,8,4,4,8,3,2,5,2,1,3,3,1,5,2,0,3,4,1,6,7,3,11,6,3,11,4,2,6,
2,1,4,2,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,2,0,2,1,0,0,0,0,0,0,1,5,3,7,31,16,7,32,16,10,41,25,18,72,45,
14,60,39,9,37,23,16,66,44,32,118,85,27,102,71,15,64,41,23,90,66,27,106,77,28,111,80,36,132,112,39,143,133,41,148,129,35,132,100,20,84,55,16,70,38,21,92,59,
25,94,63,48,88,56,31,46,30,7,28,19,22,63,35,48,59,18,38,30,10,62,56,18,118,115,36,114,105,39,123,107,38,157,142,53,147,138,56,129,138,49,138,146,43,136,144,44,
147,159,47,163,171,53,181,179,58,188,180,68,162,165,65,129,137,44,84,82,24,24,17,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,5,25,13,9,41,30,30,124,99,50,189,171,60,212,211,63,217,218,61,213,206,58,196,174,47,158,140,27,103,92,
27,52,37,32,53,30,36,88,65,44,98,81,42,54,33,41,54,25,33,63,43,32,41,34,39,40,31,40,51,40,42,71,45,36,48,28,39,40,28,33,33,25,27,39,31,23,42,35,
21,38,33,10,27,20,6,24,15,10,33,25,10,37,30,10,37,34,10,36,33,10,33,26,6,25,17,5,20,15,6,23,19,12,48,36,18,64,44,13,51,35,13,50,32,21,82,59,
26,92,75,19,74,56,18,70,47,24,89,65,19,75,54,15,60,40,22,81,64,25,88,75,20,75,58,17,66,48,10,39,29,2,6,3,5,22,14,9,37,25,5,18,11,1,3,1,
0,2,1,0,1,0,1,2,1,3,13,8,3,11,7,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,4,2,1,2,1,1,4,4,2,8,8,
2,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,2,
1,0,1,4,1,3,4,1,4,3,1,2,1,1,2,1,0,2,0,1,1,0,0,0,1,0,2,2,2,4,2,2,3,2,1,2,2,1,2,2,1,3,2,2,4,2,3,4,
2,2,4,2,2,3,1,1,3,1,1,3,1,2,3,1,2,3,2,1,3,2,1,3,2,1,3,2,1,3,1,1,3,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,
1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,2,2,1,2,
2,1,3,3,1,3,5,1,4,5,1,4,6,2,5,6,2,5,7,2,5,6,2,4,5,2,3,5,1,2,3,1,3,2,1,2,1,0,1,0,0,0,1,1,0,3,1,1,
5,1,1,3,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,
1,1,2,1,1,3,2,1,4,2,1,4,3,3,6,3,3,7,4,3,7,3,2,6,2,1,3,3,1,5,2,1,5,4,2,6,7,3,10,7,3,12,4,2,8,2,1,4,
2,1,5,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,21,10,8,35,17,7,32,19,15,62,38,16,66,43,
10,42,26,10,43,27,24,94,66,31,117,84,18,74,48,18,74,53,26,104,76,27,108,76,35,129,102,39,141,131,41,147,139,39,145,121,30,118,84,17,73,43,21,90,59,25,108,80,
40,110,79,48,78,50,12,22,15,10,45,28,40,69,28,64,67,16,47,39,15,94,88,26,121,116,39,111,97,35,143,129,45,164,152,59,137,137,54,139,145,47,151,146,44,144,143,44,
150,158,47,171,177,56,189,181,63,177,171,68,144,151,55,112,118,35,58,53,16,11,5,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,15,9,7,32,19,17,76,58,43,168,142,55,200,196,62,216,217,62,216,214,61,206,191,57,186,167,37,137,126,
25,72,59,31,46,26,35,77,47,46,108,84,45,81,60,43,57,27,39,69,42,33,51,39,37,41,31,37,42,33,41,64,44,39,61,36,38,41,28,34,33,26,24,31,23,24,41,34,
22,40,34,16,34,29,5,21,13,7,26,17,11,38,29,13,47,39,10,36,34,10,35,31,8,29,21,7,25,18,6,26,19,9,39,35,15,59,45,19,69,48,17,64,44,19,73,50,
25,92,70,25,90,73,18,68,49,21,79,55,24,88,66,17,67,46,19,66,47,29,89,74,27,86,73,19,69,52,13,53,40,5,20,16,1,5,2,7,28,18,9,35,24,3,14,8,
1,3,1,1,4,2,1,3,1,1,3,2,4,13,9,3,10,6,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,4,2,1,3,1,1,3,2,
1,3,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,2,1,2,4,1,4,4,1,4,4,2,5,3,2,5,1,1,3,0,0,3,1,1,3,2,2,4,3,2,5,5,2,6,5,1,5,4,2,5,3,3,4,
2,2,4,2,2,3,1,2,2,1,1,2,1,2,2,1,2,2,1,2,2,1,2,2,1,2,3,1,2,3,1,2,2,0,1,1,0,1,0,1,1,0,1,1,0,1,1,0,
1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,3,1,3,
5,1,4,5,2,4,6,2,4,6,2,4,6,2,4,6,2,4,5,2,3,5,1,3,4,1,4,4,1,4,1,1,2,0,0,0,0,0,0,2,1,0,5,1,2,4,1,2,
1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
1,1,3,3,1,4,4,1,5,5,3,7,4,3,7,3,2,7,3,1,4,2,1,4,3,1,5,3,1,5,3,1,5,6,3,10,7,3,12,6,2,9,2,1,4,2,1,5,
1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,12,6,8,34,16,7,30,17,12,49,29,15,63,37,9,40,25,
8,35,22,15,65,43,30,114,81,24,94,63,15,63,42,24,95,71,27,106,77,30,117,86,38,140,121,40,144,138,41,148,132,37,137,106,22,90,59,17,75,43,26,111,86,34,123,103,
55,113,83,33,49,32,17,27,21,30,64,36,63,78,23,58,51,15,66,56,20,116,111,36,115,107,40,124,109,38,160,148,53,153,143,58,129,136,50,153,151,49,158,141,50,140,135,46,
152,160,49,181,184,60,187,179,68,164,165,65,132,141,47,90,91,26,33,26,9,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,7,5,8,35,18,9,41,29,33,136,109,50,187,173,60,212,212,62,216,217,61,212,204,61,202,185,49,167,152,
29,111,95,33,67,49,35,66,39,40,89,63,47,96,75,47,74,45,45,75,39,35,63,44,35,45,35,36,40,28,37,46,34,42,71,43,37,47,28,36,38,29,24,28,21,23,37,28,
21,41,34,17,36,32,7,27,20,4,18,11,10,40,28,17,63,47,12,43,38,10,35,33,9,33,27,8,27,19,7,26,18,7,29,24,11,47,41,18,66,47,19,72,50,16,67,44,
23,87,62,29,101,81,24,84,68,17,66,46,23,84,61,23,85,63,17,63,42,24,75,55,30,90,77,22,76,61,14,57,41,11,44,36,4,16,13,2,9,4,8,32,21,8,30,19,
1,8,4,1,5,3,1,6,3,0,2,1,2,4,2,3,10,6,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,4,2,1,3,1,
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,1,2,1,2,4,2,4,5,2,5,4,2,5,3,2,5,2,1,3,2,1,3,1,2,3,3,2,4,4,2,6,5,2,6,5,2,6,
5,2,6,4,2,5,3,2,4,3,2,4,3,2,4,3,2,4,3,2,4,2,2,3,2,2,3,2,2,3,1,2,3,1,2,2,1,2,0,1,1,0,1,1,0,1,1,0,
1,1,0,1,1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,4,1,2,6,1,4,
6,2,4,6,2,4,6,2,3,6,2,3,7,2,3,6,2,3,5,1,4,5,1,5,6,2,5,5,2,4,2,1,2,2,1,1,4,1,1,5,1,3,5,1,4,3,1,3,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,
2,1,4,5,1,5,6,3,7,5,3,8,2,2,4,1,1,3,2,1,3,3,1,5,2,1,5,3,1,5,6,2,9,7,3,11,6,3,10,3,2,6,3,1,5,1,1,2,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,5,3,7,30,15,8,33,16,6,26,16,12,51,31,9,42,25,7,33,21,
11,45,28,22,89,59,25,100,69,15,64,40,17,73,54,26,102,77,28,110,78,36,133,108,39,142,133,41,146,138,40,148,123,32,124,90,17,73,42,23,95,64,31,126,106,47,130,109,
49,88,63,26,28,22,52,53,38,62,76,32,77,80,21,60,52,19,98,92,27,128,126,43,113,103,37,147,132,46,175,163,62,138,135,55,138,144,47,160,147,51,153,133,56,135,132,48,
158,165,52,188,184,62,180,174,68,149,155,58,112,118,36,62,56,18,15,8,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,27,15,7,34,20,24,99,77,47,181,154,55,202,198,61,212,213,62,215,212,63,208,194,58,185,167,
39,146,130,35,108,89,39,82,63,37,80,49,42,85,67,48,81,58,49,74,37,39,69,41,34,52,39,37,41,30,37,39,29,39,60,40,39,61,34,37,41,27,30,32,25,21,30,23,
22,40,33,12,37,32,8,32,27,5,20,13,6,24,16,13,51,37,16,58,46,11,39,37,9,34,31,8,30,22,7,26,19,6,24,17,8,32,29,14,55,46,19,68,48,19,70,48,
20,77,56,29,101,78,29,100,81,21,77,59,18,69,47,24,89,65,21,79,57,18,62,40,26,79,60,27,86,73,18,68,53,14,53,39,10,40,33,3,12,8,4,15,8,10,32,20,
5,19,11,1,6,3,1,6,3,1,5,3,1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,4,2,
1,3,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,4,2,4,4,2,5,4,2,5,4,2,4,3,2,4,2,2,3,2,2,3,2,2,4,3,2,4,
4,2,5,5,2,6,5,2,6,5,2,6,6,3,6,6,3,7,6,3,6,5,2,5,5,2,5,5,2,5,4,2,5,3,2,4,3,2,3,3,2,3,3,2,3,2,2,3,
2,2,3,2,2,3,2,1,2,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,5,1,1,6,1,2,6,2,3,
6,2,3,7,2,3,7,2,3,7,2,4,7,2,5,6,1,5,6,1,6,6,2,6,7,2,6,7,2,6,6,1,3,5,1,2,5,1,4,5,1,4,3,1,3,1,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,3,1,4,
5,1,5,5,1,6,5,3,7,2,1,4,0,0,0,1,1,2,3,1,4,2,1,5,3,1,5,5,2,9,7,3,11,5,3,9,4,2,8,4,2,8,2,1,4,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,4,18,9,8,34,15,5,25,14,8,34,21,7,31,20,7,31,19,9,38,24,
17,70,45,25,101,68,16,67,44,13,56,38,18,79,60,24,98,70,32,122,92,39,141,127,40,145,139,41,147,129,37,139,106,23,95,63,18,78,45,28,117,92,41,137,119,59,126,97,
32,52,37,40,41,39,66,67,48,85,90,29,90,90,28,83,79,23,128,129,40,129,128,44,128,115,39,168,155,56,159,149,62,131,136,51,152,150,48,160,141,55,141,128,53,141,147,50,
176,180,58,189,180,66,167,165,66,130,138,47,70,67,21,18,10,5,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,11,7,8,36,20,13,58,42,38,152,123,53,196,181,57,204,204,60,212,211,65,214,205,68,203,185,
51,168,152,41,140,120,45,113,98,41,96,71,40,86,61,45,81,64,51,76,45,45,74,38,35,64,44,37,44,35,40,40,28,36,41,27,39,66,35,36,50,28,33,35,27,23,27,21,
23,37,29,16,39,33,8,35,30,7,28,21,5,19,11,9,32,22,16,59,43,15,53,44,10,35,33,9,34,28,7,28,19,7,25,19,6,23,18,9,39,34,18,63,50,22,77,56,
21,81,65,24,92,73,30,104,82,29,99,82,20,75,56,20,74,51,24,89,66,20,73,52,19,61,40,26,80,61,25,80,67,15,58,43,12,47,34,9,35,29,3,10,7,7,20,9,
10,31,18,4,16,9,2,7,4,4,9,4,2,6,3,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,
1,4,2,1,3,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,2,3,4,2,4,4,2,5,4,3,5,4,3,4,3,2,4,2,1,4,
1,2,4,2,2,4,3,2,4,3,2,4,4,3,5,4,3,5,4,3,5,4,2,5,4,2,4,5,2,5,4,2,4,3,2,3,3,2,4,3,2,4,3,2,4,2,2,4,
2,2,4,2,2,3,2,1,2,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,4,1,1,6,1,1,6,1,1,6,2,2,
7,2,3,7,2,4,7,2,5,6,2,5,7,2,6,7,1,6,7,2,6,7,2,6,7,2,5,7,2,4,6,1,4,5,1,4,3,1,3,1,1,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,5,1,5,
5,1,6,4,1,6,2,1,3,0,0,0,1,0,2,3,1,5,2,1,5,2,1,5,6,2,9,7,3,11,5,3,9,4,2,8,5,2,10,4,2,6,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,2,1,3,2,1,5,1,1,2,0,0,0,0,0,0,0,1,1,3,11,6,4,18,10,7,29,18,8,35,22,6,25,15,8,35,22,11,47,30,
23,94,63,21,84,56,12,52,34,16,71,56,21,87,65,27,109,79,37,138,116,40,144,136,41,148,137,38,142,113,29,115,81,17,74,42,24,102,72,31,128,110,57,144,120,55,104,75,
33,47,41,67,82,72,84,90,51,95,98,32,85,85,28,113,110,32,141,143,48,131,124,42,153,139,48,171,158,61,139,136,57,139,145,48,159,146,50,152,132,56,137,139,61,152,167,62,
184,181,61,181,173,67,152,158,59,103,105,34,26,15,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,33,18,12,55,33,28,116,92,52,194,166,55,199,194,58,206,207,65,213,208,74,212,196,
66,189,171,48,155,137,50,140,121,50,127,103,45,111,78,42,85,68,48,78,58,49,74,38,40,70,41,36,52,37,40,41,27,37,36,19,37,53,27,38,63,31,33,39,28,26,27,24,
20,28,21,21,38,31,11,36,31,8,33,27,5,22,14,5,22,15,12,45,33,17,62,48,11,42,38,9,35,32,9,33,25,7,26,19,7,26,19,8,31,24,15,55,47,24,83,63,
26,92,73,25,96,79,28,99,79,32,108,88,29,98,82,19,72,51,22,79,56,24,88,65,19,68,46,21,64,42,27,81,65,23,76,63,13,52,38,11,45,33,5,24,17,3,7,2,
7,19,10,5,12,6,3,6,3,6,11,5,4,10,5,1,5,3,1,3,2,1,5,3,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,2,1,1,4,2,1,4,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,1,2,3,2,4,4,3,5,5,3,5,3,3,4,
2,2,3,2,2,3,2,2,3,2,2,4,2,2,4,3,3,4,3,2,4,2,2,3,2,2,3,3,2,3,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,2,1,0,3,1,1,4,1,1,5,1,1,6,2,3,6,2,3,7,2,5,
7,2,6,6,2,6,7,2,6,7,2,6,7,2,6,7,2,6,7,2,5,6,2,4,6,1,4,6,1,4,4,1,3,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,4,1,4,5,1,6,
5,1,6,1,1,3,0,0,0,1,1,2,3,1,5,2,1,4,2,1,5,5,2,9,7,3,11,7,3,10,5,2,8,5,2,10,3,2,6,0,0,0,1,0,1,1,1,2,
0,0,0,0,0,0,2,0,2,3,1,6,2,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,5,3,5,22,14,6,24,15,8,34,21,8,37,23,16,66,41,
21,88,57,12,53,33,13,59,44,19,83,64,34,100,72,43,130,103,39,142,130,41,147,140,40,145,123,34,131,96,20,85,53,22,91,60,30,127,107,43,139,120,61,133,101,40,62,47,
66,68,63,92,101,66,103,111,42,100,110,45,98,99,36,135,133,42,139,135,48,147,127,45,176,160,59,161,152,62,130,136,51,150,148,48,160,141,54,142,131,57,139,154,67,164,171,63,
181,167,61,167,163,64,135,143,49,70,63,20,8,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,13,9,11,52,30,19,84,61,44,168,136,53,200,182,53,197,198,61,204,203,76,212,201,
77,205,185,56,170,153,48,149,131,54,143,122,49,128,99,43,97,72,45,81,64,51,78,48,48,75,36,40,68,41,40,53,35,39,38,21,35,38,17,36,56,25,34,42,22,31,31,26,
22,22,19,19,30,22,14,37,31,8,34,29,6,26,20,4,19,11,8,29,21,15,55,40,15,56,45,10,38,35,12,45,41,10,39,32,9,38,26,11,45,31,10,44,35,21,75,61,
29,100,75,29,103,83,25,96,80,28,99,77,32,108,89,27,93,75,18,70,49,22,83,60,23,85,64,22,67,44,25,67,45,28,83,67,21,72,59,12,50,34,9,37,23,4,16,9,
3,6,2,6,8,3,5,7,2,5,10,4,6,11,5,4,9,5,1,6,3,1,6,3,2,6,3,0,2,2,0,0,0,0,0,0,0,0,0,1,2,1,1,2,1,0,0,0,
0,0,0,1,2,1,1,4,2,1,4,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,
4,3,6,4,4,7,2,2,2,0,0,0,0,0,0,1,2,1,2,2,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,3,2,5,5,3,7,5,3,6,
4,3,5,3,3,4,3,3,3,3,3,5,4,3,5,4,3,5,4,3,5,3,3,5,3,3,5,3,3,4,3,3,4,3,3,4,3,2,4,3,2,4,3,2,4,3,2,4,
3,2,4,3,2,3,2,1,2,1,1,0,1,1,0,1,1,0,2,1,1,5,1,1,5,1,1,5,1,2,6,1,2,6,2,4,7,2,5,7,2,6,8,2,7,8,2,7,
8,2,7,7,2,6,7,2,6,6,1,5,7,2,6,8,2,6,8,2,6,7,2,7,5,1,4,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,4,1,4,4,1,4,3,1,4,
1,0,2,0,0,0,1,1,2,3,1,5,2,1,5,3,1,5,5,2,9,7,3,11,8,3,10,8,3,10,6,2,10,3,2,6,0,0,0,1,0,2,4,2,7,3,1,5,
0,0,1,0,0,1,3,1,5,3,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,6,3,7,30,18,8,38,23,13,54,33,22,87,56,
14,58,37,7,34,24,14,64,52,26,91,67,51,120,92,48,138,119,39,142,134,41,148,133,36,138,107,26,105,71,18,77,45,30,121,96,36,138,121,59,146,119,56,95,70,72,51,49,
105,95,76,117,120,53,121,133,49,113,127,60,129,132,48,141,141,46,143,125,46,172,147,57,183,167,68,144,142,59,138,145,48,160,146,52,154,134,56,138,139,60,147,160,61,171,163,57,
170,156,62,152,157,59,108,111,35,34,24,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,8,35,20,14,64,40,33,134,103,54,201,171,52,193,187,54,196,196,72,209,201,
83,213,196,68,191,172,47,150,134,52,148,128,54,139,113,50,119,84,44,89,67,47,79,59,50,76,40,46,80,43,46,87,55,43,62,37,34,37,18,30,36,15,32,39,15,35,47,28,
30,33,27,14,17,13,15,33,25,11,36,31,8,30,25,5,22,13,4,19,12,12,45,31,20,72,53,16,58,48,15,56,54,17,60,57,11,43,31,14,57,39,12,50,34,14,54,44,
28,99,78,32,107,83,27,101,84,25,94,77,29,101,78,33,109,91,26,89,72,18,70,48,23,85,63,25,86,64,25,72,47,27,72,50,26,80,65,17,64,52,11,45,31,8,34,21,
3,14,8,4,7,2,7,10,2,6,10,3,5,9,5,6,11,5,4,9,4,1,5,3,1,6,3,1,5,3,0,2,1,0,0,0,1,0,0,2,4,1,2,5,1,2,2,1,
0,0,0,0,0,0,1,2,1,2,5,2,2,5,2,1,3,2,2,3,1,1,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,
4,4,8,9,6,14,8,6,13,5,4,8,2,2,3,2,2,3,4,3,6,3,3,5,2,3,2,2,2,1,2,2,0,1,1,0,0,0,0,1,1,2,3,2,5,5,3,6,
5,3,7,5,3,6,5,3,6,4,3,6,4,3,5,4,3,6,4,3,6,4,3,5,4,3,6,4,3,5,3,3,5,3,3,5,3,3,5,3,3,5,3,3,5,3,2,5,
3,2,5,3,2,4,2,1,3,1,0,1,1,0,1,2,1,1,3,1,2,5,1,3,5,1,3,5,1,3,6,1,4,7,2,6,8,2,7,7,2,7,7,2,7,7,2,6,
6,1,5,6,1,6,6,2,6,7,2,7,10,3,9,11,3,9,10,2,9,8,2,7,3,1,3,0,0,0,0,0,0,0,0,0,2,1,1,3,1,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,1,3,4,1,4,3,1,3,2,1,1,0,0,0,
0,0,0,2,1,3,3,1,5,2,1,4,3,1,6,6,2,10,7,3,11,8,2,11,9,3,10,8,3,11,4,2,6,0,0,1,1,0,2,4,2,8,5,2,10,4,1,7,
2,1,2,2,2,5,3,2,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,21,13,8,38,24,9,38,24,34,79,52,30,75,51,
5,27,17,9,40,32,18,74,57,47,109,81,60,137,114,40,136,125,40,146,133,39,144,117,31,123,88,18,77,47,24,101,72,33,134,117,50,150,128,83,141,110,76,77,65,112,89,85,
127,117,77,132,138,52,129,141,61,131,140,69,148,155,71,143,141,62,158,131,53,188,164,70,170,155,70,136,140,53,151,149,48,158,137,55,139,127,56,137,150,65,161,164,61,173,157,58,
161,156,63,133,141,49,68,62,19,8,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,11,7,10,45,27,21,91,67,48,181,147,53,196,175,48,183,183,60,197,194,
81,214,200,80,210,190,56,170,153,46,141,126,56,146,124,56,134,100,48,105,73,44,93,78,52,92,68,51,81,44,51,104,64,49,96,59,37,53,30,28,33,13,31,37,12,37,63,30,
39,66,42,18,20,16,12,22,16,16,36,29,10,33,29,7,28,21,4,18,10,10,39,25,21,77,54,25,90,68,16,59,50,18,63,62,14,54,48,12,48,33,16,63,43,11,45,32,
18,68,55,30,105,82,31,106,83,26,99,82,26,95,75,32,105,84,34,110,93,23,83,65,19,71,48,25,91,68,28,92,69,27,72,48,26,69,48,22,70,57,16,60,48,12,47,31,
8,33,21,3,14,7,6,9,3,8,12,3,6,9,3,5,9,4,6,11,5,4,8,4,1,6,3,3,7,4,2,6,4,0,2,1,0,0,0,1,2,0,3,4,1,3,5,1,
2,2,1,0,0,0,1,1,0,2,4,1,3,6,3,2,6,3,3,5,2,2,4,1,2,2,0,2,2,1,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,
2,2,1,5,4,7,8,6,12,9,6,15,8,6,13,6,5,9,4,3,7,4,3,6,5,4,6,4,3,5,4,4,4,4,3,2,3,2,1,1,1,0,1,0,0,4,2,3,
6,3,6,7,3,8,7,3,8,7,3,7,6,3,7,5,3,7,5,3,6,4,3,6,4,3,6,4,3,6,4,2,5,3,2,6,3,2,5,2,2,2,1,1,2,1,1,2,
1,2,2,3,2,3,4,2,4,4,1,3,3,1,3,3,1,3,3,1,2,2,0,2,2,0,2,1,0,1,2,1,2,5,1,4,7,2,6,7,2,6,6,1,5,6,1,5,
8,2,6,10,2,9,12,3,10,12,3,10,11,3,10,10,3,9,10,2,9,8,2,6,2,0,2,0,0,0,2,1,1,5,1,1,6,1,1,4,1,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,4,1,4,4,1,4,3,1,2,1,0,1,0,0,0,0,0,1,
2,1,4,3,1,5,2,1,4,3,2,6,6,3,10,7,3,11,8,2,10,9,2,11,8,3,11,4,2,6,0,0,1,1,0,2,4,2,8,7,2,11,8,2,10,8,2,9,
5,2,7,3,2,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,14,9,9,38,24,5,29,19,23,50,35,42,78,55,18,39,29,
7,32,20,15,68,46,38,98,71,60,130,104,46,136,123,39,141,132,40,147,127,37,140,106,23,96,64,19,84,54,40,128,108,43,144,126,80,159,130,86,119,93,102,95,87,128,123,98,
135,140,72,134,145,62,127,138,67,150,158,89,154,167,108,151,140,75,178,149,63,182,160,74,148,138,61,149,148,50,159,146,50,138,109,51,118,117,53,142,157,63,171,162,58,169,155,61,
151,155,59,107,109,36,33,23,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,33,18,15,68,43,34,135,107,56,204,172,50,188,179,49,183,183,
71,205,196,84,216,195,71,197,174,50,151,135,53,146,126,58,144,117,54,126,88,47,110,88,51,109,96,55,88,56,53,96,55,52,112,70,45,82,49,32,40,19,27,32,12,33,44,15,
38,74,39,26,48,33,7,12,10,15,29,20,12,34,29,8,32,27,6,23,16,7,29,17,19,73,50,27,97,70,22,80,60,15,56,50,17,63,62,11,45,37,13,52,35,15,59,40,
10,45,33,22,83,68,32,108,84,29,104,83,25,95,79,26,95,74,33,108,88,33,107,91,21,76,57,17,67,45,25,90,68,28,87,64,25,65,42,22,62,43,21,67,55,16,59,46,
12,46,31,8,32,20,4,14,8,6,10,3,8,11,3,6,10,3,5,11,5,5,11,5,4,9,4,4,9,4,5,9,4,2,6,3,1,3,1,1,3,0,2,3,1,3,4,1,
3,5,1,2,3,1,0,1,0,1,1,0,2,4,2,3,6,3,3,6,3,3,5,2,2,5,2,2,3,1,2,2,1,3,2,1,2,3,1,1,2,1,0,1,0,1,0,0,
2,1,0,2,2,1,3,3,2,4,4,6,8,6,11,9,7,14,9,6,14,7,5,11,6,4,9,5,4,7,5,4,7,5,4,6,5,4,6,4,3,4,3,3,2,4,2,4,
8,3,7,9,3,9,10,4,10,11,5,11,11,5,11,9,4,10,9,4,10,8,4,10,8,4,8,7,4,8,7,4,8,7,3,8,6,3,7,5,2,5,4,1,4,3,1,4,
2,1,3,3,1,3,2,1,3,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,3,1,3,5,1,4,7,2,7,10,3,9,10,3,9,10,2,8,11,3,8,
12,3,9,13,3,10,12,3,9,12,3,9,10,2,9,10,2,9,8,2,7,4,1,4,4,1,2,7,2,4,10,3,6,7,2,4,2,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,1,2,4,1,4,4,1,4,2,1,1,0,0,0,0,0,0,1,1,1,3,1,4,
3,1,5,2,1,4,3,2,6,6,3,11,7,3,11,8,2,10,9,2,11,8,3,11,4,2,8,2,1,4,3,1,5,5,2,9,7,3,12,8,3,11,9,2,10,8,2,9,
4,2,7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,7,4,8,35,21,7,32,20,15,37,25,41,69,50,25,46,37,9,28,22,
13,62,41,31,95,67,59,121,92,48,131,113,37,135,127,41,147,132,40,145,115,32,127,92,19,86,52,45,120,94,67,145,127,72,158,133,94,147,116,92,104,89,124,130,114,138,149,100,
138,150,68,128,139,64,141,148,76,158,172,112,151,160,108,165,144,70,184,159,70,161,142,69,147,142,57,162,155,55,148,120,52,110,83,44,113,125,56,157,161,58,172,156,56,155,150,61,
124,131,46,67,61,19,8,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,12,7,13,59,34,19,83,62,47,177,144,54,199,177,45,178,176,
56,189,187,79,209,193,80,209,182,61,171,147,49,142,126,58,148,127,57,138,105,52,122,89,50,118,103,54,103,84,54,83,46,52,105,65,50,104,65,41,66,38,29,34,15,29,33,10,
31,51,23,31,70,41,13,30,22,6,13,9,14,30,24,10,32,27,7,27,21,5,20,11,10,42,26,22,85,58,26,98,71,18,68,52,15,55,52,16,59,57,11,45,36,15,59,41,
14,55,37,14,58,49,28,100,87,32,111,89,27,101,81,25,95,79,28,98,77,34,110,91,31,104,87,16,63,45,14,56,37,23,83,60,26,79,55,24,61,38,22,60,42,17,58,49,
13,51,40,8,35,22,5,23,14,5,17,8,7,12,4,9,14,3,8,13,4,6,11,5,5,11,5,4,10,5,5,9,4,5,10,4,3,7,4,3,6,3,4,5,1,2,3,1,
2,3,1,3,5,1,2,4,1,0,0,0,1,1,0,2,4,1,4,6,3,5,7,3,4,6,3,3,4,2,2,3,1,3,3,1,4,4,1,4,5,1,3,4,1,1,1,1,
0,0,0,1,1,0,2,2,1,3,2,0,3,3,2,5,5,5,7,7,10,9,7,13,10,7,14,9,6,13,7,5,11,6,5,8,6,4,7,5,4,7,5,4,6,5,4,6,
7,4,7,8,4,8,10,5,10,11,5,12,11,6,12,11,6,12,11,5,12,11,5,12,11,5,12,11,5,12,11,5,12,10,5,11,10,5,11,11,5,11,10,4,11,9,4,11,
8,3,9,5,3,8,4,3,6,4,1,4,4,2,3,5,2,4,7,2,6,9,3,8,10,3,9,11,3,10,12,4,11,13,4,11,13,4,11,13,4,11,13,4,10,12,3,9,
12,3,9,12,3,9,11,3,9,11,2,8,10,2,7,8,2,5,6,2,4,8,2,5,10,3,6,9,3,6,5,2,4,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,2,4,1,4,4,1,4,3,1,3,1,1,1,0,0,0,0,0,1,1,1,3,3,1,5,3,1,5,
2,1,3,2,2,5,5,2,9,7,3,11,8,3,10,9,3,11,8,3,10,4,2,7,3,2,6,5,2,9,7,3,12,9,3,13,9,3,13,9,3,10,8,2,9,5,2,7,
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,2,7,31,19,8,36,22,10,32,20,36,64,46,32,55,42,9,26,21,11,50,33,
23,91,62,53,116,87,54,125,103,35,123,116,38,142,131,38,143,115,35,132,97,21,94,60,31,103,73,79,148,126,89,161,138,96,159,128,89,115,91,116,119,105,138,151,118,137,151,80,
136,146,67,135,141,71,153,164,99,157,172,117,160,152,85,181,157,67,174,152,71,146,134,59,158,156,58,165,147,58,132,100,51,98,96,46,132,148,58,171,162,55,164,146,60,127,126,50,
85,86,27,29,19,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,27,16,11,53,33,30,122,94,56,203,168,48,184,167,
46,171,168,69,196,183,82,210,183,74,196,167,53,154,136,54,149,129,60,150,126,59,142,103,56,129,97,57,121,104,55,90,63,50,85,49,50,107,68,49,94,55,41,60,26,32,40,14,
25,31,9,30,68,37,26,67,42,6,14,9,11,18,13,12,30,24,7,28,21,5,22,14,4,18,10,13,53,34,24,91,63,26,96,70,16,60,48,17,62,60,20,73,72,15,60,50,
16,61,41,16,66,53,21,81,77,32,112,99,32,110,87,26,99,80,25,96,78,31,102,84,36,114,98,30,101,84,14,52,37,11,45,29,22,78,55,28,78,54,24,60,37,18,47,33,
13,44,39,8,35,29,4,18,12,5,25,15,6,21,11,9,15,5,11,16,4,9,14,4,6,12,5,5,10,5,4,9,4,5,10,4,5,10,4,3,8,4,4,7,3,4,6,1,
3,5,1,2,4,1,3,5,1,2,4,1,1,1,0,0,0,0,2,3,0,5,6,3,5,7,3,4,7,3,2,4,2,2,4,1,3,4,1,4,5,1,4,5,1,3,5,1,
2,3,1,1,0,0,0,0,0,1,1,0,2,2,1,3,2,1,3,3,1,4,5,4,6,6,8,8,7,11,9,7,13,9,6,14,9,6,13,8,5,11,7,5,10,6,5,8,
5,4,6,4,4,5,5,4,6,7,5,9,8,5,10,8,5,10,8,5,10,9,5,11,10,5,12,10,5,12,10,5,12,10,5,12,10,5,12,11,5,12,12,5,13,12,5,13,
11,5,12,11,5,12,11,5,12,11,4,10,11,4,9,12,4,10,13,4,11,13,4,12,13,4,12,13,4,11,13,4,11,13,4,10,12,4,10,13,4,10,13,4,10,12,3,10,
11,3,8,10,2,7,11,2,6,11,3,5,13,3,6,13,3,6,11,3,7,8,3,6,4,1,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,2,4,1,4,4,1,3,2,1,1,0,0,0,0,0,0,0,0,0,1,1,2,3,1,5,3,1,5,2,1,4,
2,1,5,3,1,6,6,2,8,8,2,9,8,2,10,8,3,10,7,3,9,5,2,7,4,3,9,7,3,13,9,4,14,10,4,15,10,3,12,8,2,9,4,2,6,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,9,5,6,26,17,7,28,18,28,56,40,38,64,48,12,27,23,9,40,27,18,81,54,
43,111,81,60,125,101,49,121,113,41,135,129,39,143,122,34,132,98,22,97,64,21,88,56,64,137,113,91,160,138,100,167,139,93,132,103,109,115,97,143,154,123,141,154,93,142,149,69,
146,139,68,157,153,86,159,174,117,157,163,103,180,163,71,185,163,72,154,136,64,146,142,54,160,151,58,156,127,57,112,95,50,109,125,53,159,162,55,171,151,58,136,123,53,86,86,32,
39,34,10,7,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,7,4,10,46,26,19,83,57,47,176,139,56,206,172,
48,173,158,69,181,167,80,201,179,83,207,176,68,183,156,55,160,138,61,163,139,67,161,125,75,159,105,71,145,110,58,112,94,53,85,51,50,96,58,50,107,60,57,101,44,47,76,26,
30,42,10,30,62,23,33,90,52,18,45,28,5,9,6,13,23,15,9,26,18,5,22,15,4,15,8,5,20,11,15,61,39,24,92,65,24,87,65,15,56,47,21,75,75,21,80,79,
15,60,47,16,65,45,19,73,63,25,91,88,34,114,99,30,107,83,25,98,80,28,100,85,33,108,93,36,113,98,27,93,76,11,46,31,11,45,30,24,80,57,28,78,54,20,46,27,
14,32,22,11,38,36,7,28,26,4,17,11,5,20,12,5,15,7,10,16,5,12,16,4,9,14,4,6,10,3,5,9,4,4,10,4,5,9,4,5,9,4,4,9,4,5,9,3,
7,9,2,4,7,2,3,4,1,3,5,1,3,5,1,1,2,0,0,0,0,1,2,0,4,5,2,5,7,3,4,5,2,3,3,1,2,3,1,3,4,1,3,5,1,4,5,1,
4,5,1,4,4,1,2,2,0,0,0,0,0,0,0,2,1,0,2,2,1,3,2,1,5,4,4,6,5,8,6,6,8,7,6,9,8,6,11,8,6,12,9,6,13,9,6,12,
6,5,8,4,3,4,3,3,2,3,4,3,4,4,4,4,3,3,4,3,3,5,4,5,9,5,9,9,5,10,9,5,10,9,5,10,9,5,11,10,5,11,10,5,11,10,5,11,
10,5,11,10,5,11,10,4,10,11,4,10,11,3,8,10,3,8,10,3,9,11,3,9,12,4,10,12,4,10,13,3,9,13,4,9,13,4,9,13,4,8,14,4,7,14,4,6,
13,4,6,13,3,7,15,4,9,16,4,10,13,4,9,7,2,5,2,1,2,0,0,0,1,0,1,4,1,4,2,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,1,3,2,1,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,1,2,0,1,1,1,1,3,
4,1,6,6,1,6,8,2,8,7,2,9,7,2,8,9,2,9,8,2,10,6,2,10,8,3,13,10,4,15,10,4,14,10,3,11,8,2,9,6,2,7,2,1,3,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,2,1,8,5,21,35,25,37,66,49,16,36,29,8,33,23,15,70,47,37,103,74,
58,120,93,62,119,109,73,131,128,63,146,130,39,137,105,26,108,75,17,83,50,49,124,98,91,160,142,99,169,146,107,151,121,108,112,89,143,150,120,150,163,112,142,156,83,149,150,81,
159,146,81,167,168,109,156,169,116,166,157,78,188,167,69,163,141,68,139,128,54,149,140,52,155,129,55,130,96,52,99,99,50,122,138,54,168,155,55,152,131,57,86,76,35,37,33,11,
12,10,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,27,17,12,56,36,26,111,86,51,192,156,
50,185,158,61,170,154,77,184,167,84,206,179,78,200,167,57,164,140,56,160,134,68,168,141,79,171,119,82,161,106,66,136,111,57,102,79,49,75,41,45,93,51,54,111,53,60,117,51,
42,71,23,33,48,10,33,81,36,26,81,48,8,28,17,6,11,6,11,23,14,6,20,13,3,13,7,3,13,6,9,37,22,20,78,52,26,98,71,21,78,58,15,56,49,21,80,79,
20,77,73,17,64,47,17,68,48,18,74,67,26,96,92,34,115,98,29,105,81,26,99,81,29,102,88,33,106,91,33,108,93,26,94,78,12,50,38,11,48,32,24,81,57,26,70,46,
17,35,17,12,29,20,11,39,36,7,29,28,3,11,8,2,8,3,5,14,6,10,16,5,11,16,4,9,13,3,6,9,3,5,9,4,4,10,5,5,9,4,5,9,4,5,10,5,
7,11,4,7,11,3,5,8,2,3,4,1,3,4,1,3,5,1,1,3,1,0,1,0,2,3,1,4,6,1,5,6,2,5,5,1,3,4,1,2,3,1,2,3,1,3,4,1,
4,4,1,5,5,1,5,5,1,4,4,1,2,2,0,0,1,0,0,0,0,1,1,0,3,2,2,5,4,5,6,6,8,7,6,9,6,6,9,6,6,8,6,6,8,6,6,8,
6,5,7,3,3,3,2,3,1,2,2,1,3,3,1,3,3,0,3,2,0,3,3,1,4,3,2,4,2,3,3,2,4,3,2,4,4,2,5,4,3,5,4,3,5,5,3,5,
5,3,5,5,3,5,5,3,5,6,3,5,7,2,4,7,2,4,8,2,5,11,3,7,14,4,9,14,4,8,14,4,8,15,4,8,14,4,7,15,4,7,16,5,8,17,4,11,
17,4,12,15,4,11,13,3,11,10,3,9,4,1,4,0,0,1,3,1,2,6,1,5,7,2,6,6,1,6,2,1,2,0,0,0,3,1,1,7,2,2,5,2,2,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,3,
7,2,7,8,2,9,8,2,9,7,2,8,8,2,9,8,2,10,6,3,11,9,4,14,11,4,16,10,4,14,10,3,11,8,2,8,7,2,8,8,2,7,4,1,4,0,0,0,
0,0,0,0,0,0,4,1,1,8,2,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,10,9,7,36,44,33,23,40,32,7,28,20,13,59,38,28,92,64,52,113,85,
55,108,95,76,115,112,91,145,135,64,142,118,30,120,86,17,80,49,34,107,77,83,155,135,102,173,158,122,172,149,124,134,105,145,138,111,156,165,122,148,165,104,151,162,107,159,154,104,
170,164,109,162,174,126,152,153,94,174,156,63,173,151,67,139,124,56,138,131,50,145,118,52,136,94,52,98,82,48,108,123,54,148,141,49,163,139,55,118,102,48,38,28,16,2,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,2,9,40,24,16,71,50,37,147,119,
52,195,160,49,167,143,70,168,144,81,188,162,82,203,172,67,177,149,51,148,122,62,164,138,74,171,135,88,173,110,88,163,113,69,129,107,54,87,60,44,69,36,43,87,44,62,128,64,
57,112,48,35,51,12,29,51,14,27,88,45,16,68,41,3,15,9,11,16,9,9,18,11,3,10,6,5,19,10,10,43,25,17,72,47,24,96,73,30,111,91,22,80,65,16,61,54,
25,96,92,25,95,82,18,70,50,16,67,48,19,75,69,28,100,95,33,114,95,27,100,77,26,96,79,29,102,89,32,104,90,32,107,92,25,89,74,11,44,34,11,46,30,22,72,49,
23,61,38,17,34,16,12,28,18,11,38,35,8,30,29,3,12,9,2,8,4,5,14,6,10,16,5,12,16,4,10,14,3,6,10,3,5,9,4,5,10,5,5,9,4,5,10,5,
6,11,5,6,11,5,7,11,3,6,9,2,3,5,1,2,4,1,3,5,1,3,4,1,2,3,1,3,4,1,5,6,1,6,7,2,6,6,2,4,4,1,3,4,1,3,5,1,
4,4,1,4,4,1,4,5,1,5,6,1,5,6,1,4,4,1,2,2,0,0,1,0,0,0,0,1,1,0,2,2,1,4,3,3,5,4,6,6,5,7,6,6,9,7,6,9,
7,7,10,8,7,10,6,6,8,5,4,5,4,3,4,4,3,3,4,2,3,3,2,1,2,1,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,2,0,1,7,2,2,
8,2,3,9,2,4,9,3,4,9,3,4,11,3,5,13,4,7,15,4,8,16,4,9,16,4,10,17,5,10,17,5,12,18,5,13,17,5,14,17,4,14,17,5,15,17,4,15,
15,3,13,11,3,10,10,2,10,10,2,9,8,2,7,7,1,6,7,2,6,5,2,5,3,1,3,1,1,3,3,1,2,7,2,2,8,2,2,7,2,2,2,1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,1,3,7,2,7,
8,2,9,7,2,9,8,2,9,8,2,9,7,2,10,7,3,11,9,4,15,12,4,17,12,4,16,10,3,11,8,2,8,7,2,8,8,2,8,8,2,7,2,0,2,2,1,1,
4,1,4,7,2,5,26,7,9,31,8,9,11,2,5,0,0,0,0,0,0,0,0,0,7,3,3,31,28,23,25,37,31,8,27,21,10,50,32,18,66,43,44,92,67,54,100,86,
65,96,95,92,129,121,83,144,125,45,128,100,20,89,58,24,93,61,71,144,122,99,169,155,121,178,161,137,157,126,147,142,107,162,165,129,149,163,108,152,169,113,155,164,125,167,164,121,
168,177,139,149,162,119,161,148,66,180,158,65,151,130,61,134,126,49,142,125,49,137,94,50,108,73,48,97,108,55,125,138,53,162,140,51,143,121,55,72,61,30,13,7,4,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,24,14,13,56,33,22,96,71,
50,187,150,49,186,155,54,161,132,74,167,140,78,186,158,76,193,161,56,155,128,53,150,123,67,168,141,86,177,128,104,185,116,92,165,119,66,120,98,49,78,46,39,69,34,48,100,51,
62,130,64,44,86,32,27,37,7,28,62,22,24,90,51,11,52,30,4,8,4,9,10,5,5,8,5,2,6,3,8,37,21,15,65,41,23,92,72,30,114,100,32,116,100,20,76,60,
21,82,69,29,111,102,25,95,79,24,72,49,24,72,52,20,78,72,28,102,95,30,106,87,22,87,66,25,94,78,30,103,89,31,103,88,29,100,85,22,79,66,9,36,29,8,35,21,
20,64,42,24,63,40,18,36,18,12,29,18,10,36,34,8,33,31,4,14,12,2,7,4,5,13,6,10,16,5,12,16,4,10,14,3,6,10,3,5,9,3,4,9,4,6,11,5,
7,11,5,5,10,5,6,11,5,8,11,4,7,10,2,4,6,2,3,4,1,3,5,1,3,4,1,2,3,1,3,4,1,5,6,2,6,7,2,6,7,2,5,6,2,5,6,2,
4,6,2,3,5,1,3,4,1,4,4,1,4,5,1,5,6,1,5,6,1,6,5,4,7,4,5,3,2,3,1,0,0,0,0,0,1,1,0,2,2,0,3,4,2,4,4,4,
4,5,6,7,6,10,8,7,12,8,7,12,9,7,13,12,7,15,13,7,16,13,6,14,11,5,13,9,4,11,10,4,10,12,4,11,12,4,12,12,4,12,13,4,12,15,4,12,
16,4,13,16,4,13,16,4,13,17,4,14,17,5,15,19,5,17,19,6,17,19,5,17,19,5,17,18,5,17,19,5,17,19,5,18,18,5,16,15,4,14,14,3,14,13,3,13,
12,3,12,11,3,11,10,3,10,9,3,9,7,3,8,5,2,6,2,1,3,1,1,2,4,1,2,8,2,2,9,2,3,7,2,1,2,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,5,2,5,7,2,8,7,2,9,
7,2,9,8,2,9,8,2,10,7,2,10,7,3,12,10,4,16,12,4,17,12,4,16,11,3,12,7,2,8,7,2,8,8,2,8,8,2,7,7,2,5,5,1,3,7,2,7,
14,3,12,31,7,13,40,9,15,23,6,13,4,2,5,0,0,0,0,0,0,4,1,1,24,7,10,23,15,18,8,23,18,25,51,36,25,65,44,39,80,56,48,89,74,60,86,88,
85,119,113,87,141,124,53,134,108,26,101,72,19,84,53,55,133,107,93,164,149,113,177,162,136,167,140,148,147,108,164,165,129,153,164,116,150,167,108,157,170,130,155,158,121,164,172,135,
145,171,147,138,143,90,175,155,60,172,150,69,142,134,63,142,134,53,142,106,51,122,75,48,96,88,49,118,132,55,159,146,52,159,134,56,104,91,43,31,22,12,2,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,10,46,26,16,71,42,
33,132,102,51,194,152,49,172,140,65,156,126,73,161,137,79,193,163,72,183,152,54,152,124,56,158,133,77,174,142,105,189,129,108,185,119,85,153,118,59,105,80,44,73,37,38,76,38,
52,112,57,57,122,56,33,60,19,27,39,7,28,74,31,20,84,49,12,43,23,13,19,4,4,4,1,0,0,0,2,9,5,9,41,24,17,71,48,27,102,84,32,119,105,31,112,94,
19,74,56,22,87,73,32,112,102,53,107,85,57,92,56,39,83,57,19,79,74,28,102,95,28,100,82,22,86,64,26,96,79,30,104,90,30,102,87,29,99,83,21,79,66,8,36,30,
8,32,20,19,63,41,24,62,39,17,38,19,11,27,16,9,33,29,6,24,21,3,9,5,4,10,5,5,14,6,9,16,5,12,16,5,10,15,4,7,11,3,5,9,4,5,10,4,
6,10,5,6,10,4,5,10,5,6,10,5,7,11,5,7,11,3,6,8,1,3,5,1,2,4,1,3,5,1,2,4,1,2,3,1,3,4,1,5,7,2,6,7,2,6,7,2,
5,6,2,5,6,2,4,6,1,4,5,1,3,5,1,4,5,1,4,4,1,8,6,3,12,7,8,12,7,10,10,5,9,7,3,6,4,1,4,2,1,1,2,1,0,0,0,0,
0,0,0,0,1,0,1,2,2,2,3,3,3,4,5,9,5,11,13,8,17,15,9,19,16,9,20,16,8,20,17,9,19,19,9,20,19,8,20,19,8,20,19,7,20,20,7,20,
20,7,21,20,7,21,20,7,21,21,7,21,21,7,22,21,7,22,21,7,22,20,7,21,18,6,19,16,5,17,15,4,15,14,4,15,13,4,13,12,4,12,12,3,11,11,3,11,
9,3,9,7,3,9,6,2,8,7,3,8,9,2,9,9,3,7,7,2,3,8,2,2,11,2,4,12,2,7,9,3,7,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,3,1,2,5,1,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,1,3,6,1,6,6,2,6,6,2,7,7,2,8,
8,2,9,8,2,10,6,3,10,8,3,13,11,4,16,12,4,17,13,4,15,11,3,12,7,2,8,7,2,7,9,2,8,7,2,6,16,4,12,27,6,20,18,4,15,15,3,14,
33,8,17,41,10,15,26,7,17,7,3,10,1,0,2,0,0,0,4,1,1,23,5,8,22,3,10,6,10,12,22,47,33,45,68,50,46,79,58,48,89,70,55,83,83,83,108,106,
92,139,127,62,138,114,29,109,80,16,82,51,49,122,95,93,161,144,110,176,162,131,173,149,141,147,109,163,162,127,159,169,128,148,164,105,159,175,131,158,168,139,159,165,128,150,173,147,
127,146,113,151,138,57,180,157,64,159,142,71,141,145,74,137,116,57,130,80,47,101,77,48,100,117,55,133,134,48,158,131,54,128,106,52,57,48,23,9,4,2,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,15,9,15,67,38,
17,78,52,39,157,113,55,187,141,63,167,128,76,152,115,76,172,145,83,201,169,68,179,147,55,158,127,64,168,139,91,182,143,112,192,123,102,178,119,80,144,113,65,112,70,51,87,39,
39,83,41,54,119,60,52,109,49,29,49,13,26,45,10,22,79,38,31,95,52,29,65,24,18,32,6,2,1,0,0,0,0,2,10,6,9,41,24,18,76,54,28,109,93,34,124,110,
29,106,86,17,67,50,26,99,87,58,127,117,83,122,95,70,101,58,37,83,59,19,80,76,28,102,95,27,98,80,21,84,63,26,95,78,30,103,88,30,102,88,28,98,82,21,79,66,
9,38,32,7,29,19,17,52,32,22,53,32,18,40,20,11,25,12,5,17,11,2,9,5,4,9,4,5,11,5,4,13,6,8,16,6,11,16,4,11,15,4,8,12,4,6,9,3,
5,7,2,4,7,2,6,9,3,6,11,4,6,11,5,6,11,5,7,11,4,7,9,2,4,6,1,2,4,1,3,4,1,3,4,1,2,4,1,2,4,1,4,6,1,6,7,2,
6,7,2,6,7,2,6,6,2,5,6,2,4,6,1,4,5,1,2,3,1,2,2,0,3,3,1,5,5,3,9,7,6,10,7,9,10,6,9,9,3,9,8,2,8,6,1,5,
4,1,4,3,0,2,1,0,1,0,0,0,0,0,0,1,1,2,3,3,6,7,5,11,8,6,13,9,7,14,10,7,16,12,8,16,12,8,17,12,8,17,12,8,17,14,8,18,
14,8,18,14,8,18,16,7,19,17,8,19,16,8,18,14,8,18,13,7,16,11,6,14,11,5,12,12,5,12,13,4,12,13,4,11,15,4,10,15,5,10,16,5,10,13,4,9,
9,3,9,8,2,8,10,2,8,10,3,7,11,3,6,11,3,4,11,2,6,13,3,9,14,3,12,15,4,13,11,3,9,2,1,2,0,0,0,0,0,0,0,0,0,2,1,1,
8,2,5,12,3,8,8,2,6,1,0,1,0,0,0,0,0,0,0,0,0,1,1,1,4,1,4,2,1,2,5,1,4,6,1,6,5,1,5,5,1,5,7,2,7,9,2,10,
8,2,10,7,3,11,9,4,14,12,4,17,13,4,17,13,4,15,12,3,12,8,3,9,7,2,7,8,2,7,7,2,6,19,4,14,36,9,29,34,8,30,21,5,19,32,7,17,
44,11,18,38,9,21,15,4,15,2,1,5,0,0,0,2,0,1,23,5,7,25,4,11,6,8,12,16,40,29,40,66,47,46,75,57,50,89,71,52,81,79,76,90,91,91,129,115,
67,138,114,46,120,93,30,71,47,41,102,75,94,156,138,124,175,162,135,177,159,140,154,119,158,157,121,163,171,134,151,166,112,161,177,131,165,176,149,163,168,135,158,174,144,133,158,132,
139,134,69,176,153,58,170,150,70,142,139,77,126,114,67,124,71,46,105,66,44,90,95,49,110,123,47,142,125,43,129,98,46,67,50,30,10,6,4,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,36,21,
13,61,37,21,92,62,47,172,124,69,184,133,77,158,105,75,150,117,79,187,159,82,203,170,64,175,139,59,160,120,72,169,138,100,187,138,109,189,118,100,173,121,83,152,111,73,126,66,
50,90,42,42,94,47,65,142,71,49,107,46,25,38,8,19,44,12,30,94,48,51,115,54,40,76,23,16,25,4,0,0,0,0,0,0,2,9,5,10,48,30,24,94,77,34,126,116,
35,128,113,27,100,80,19,79,64,34,114,108,70,135,128,85,123,93,74,109,72,36,85,65,18,79,75,27,102,96,26,97,78,21,84,63,25,96,79,30,102,88,29,97,84,28,97,80,
22,82,69,10,41,34,4,18,11,12,33,18,20,49,29,18,43,23,10,23,11,3,10,5,2,9,4,4,9,4,5,10,5,4,12,6,6,14,5,11,16,5,11,16,4,9,12,3,
6,9,2,4,7,1,4,6,1,6,9,3,6,11,4,6,11,5,6,11,4,7,10,3,7,10,3,5,8,2,3,5,1,2,5,1,3,5,1,2,4,1,1,2,0,2,4,1,
5,6,2,6,7,2,6,7,2,6,5,2,4,5,1,4,5,1,3,4,1,2,3,1,1,2,0,5,5,1,9,9,2,8,9,2,7,7,3,6,5,5,7,4,6,7,3,7,
8,2,7,8,2,8,8,2,7,7,2,6,7,1,6,5,1,5,5,1,3,4,1,3,3,1,4,2,2,3,0,1,2,0,2,3,1,2,3,2,3,4,3,4,5,4,4,5,
4,4,5,4,4,5,6,4,6,8,5,8,9,5,7,9,5,7,11,5,7,12,5,7,14,5,9,18,5,12,20,6,14,20,6,13,20,5,13,21,5,15,21,5,15,17,4,11,
13,3,7,12,3,5,14,4,7,15,4,9,16,4,10,15,4,12,15,4,14,14,4,13,11,3,11,6,3,8,2,2,4,0,1,1,0,0,0,3,1,2,7,2,6,11,3,8,
10,3,8,5,2,6,1,1,3,0,0,1,0,0,0,0,0,0,6,2,5,13,3,10,11,3,8,2,0,2,4,1,3,5,1,4,6,2,6,8,2,9,9,2,10,9,3,12,
10,4,14,10,4,15,12,4,17,12,4,16,12,3,13,10,3,11,7,2,9,7,2,8,9,2,8,11,2,9,23,6,20,41,11,34,36,10,34,23,7,23,33,8,18,43,11,18,
49,13,27,46,12,26,17,4,12,0,0,1,2,1,0,22,5,7,27,5,10,9,6,10,19,37,28,41,64,46,39,59,46,46,70,58,53,82,79,71,83,86,89,110,101,70,130,107,
52,125,99,57,74,53,66,79,63,95,146,130,126,174,161,143,180,166,141,160,129,151,149,111,166,170,135,153,167,119,159,178,136,175,185,162,172,169,141,160,165,137,136,165,143,134,149,100,
167,151,60,178,155,68,152,142,75,125,119,71,111,61,47,109,54,43,80,72,45,85,110,48,120,119,38,137,105,43,83,54,35,12,3,8,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,6,4,
10,45,27,13,62,38,32,132,90,64,194,139,76,176,119,82,153,101,77,160,130,80,195,163,77,194,158,61,161,118,61,155,116,80,173,138,107,191,134,109,189,120,99,179,131,86,156,104,
75,121,57,51,93,42,56,127,62,65,151,77,37,85,33,20,26,3,22,53,20,45,112,58,54,115,51,37,67,19,12,19,3,0,0,0,0,0,0,4,17,10,17,73,58,31,118,106,
36,132,122,33,123,109,27,101,81,21,88,75,36,119,114,72,135,126,89,125,96,72,106,71,35,84,64,19,80,76,27,101,94,25,95,77,21,83,62,24,89,74,25,89,78,26,90,77,
27,96,81,23,84,70,11,45,39,3,16,11,10,27,14,20,48,28,17,44,25,9,24,12,3,11,5,2,9,4,4,9,4,5,9,4,4,9,5,5,12,5,8,14,4,10,14,4,
8,13,3,7,10,3,4,6,2,2,4,1,4,5,2,6,9,3,5,9,4,5,8,2,6,9,2,7,11,3,7,10,2,4,7,2,3,5,1,1,2,0,0,0,0,0,0,0,
2,4,1,5,7,2,6,7,2,6,7,2,6,5,2,5,4,1,4,4,1,4,4,1,3,4,1,9,9,3,15,14,4,16,14,4,15,13,3,12,11,3,9,9,2,8,8,2,
7,6,3,6,5,4,5,4,4,5,2,4,4,1,5,8,2,8,11,2,10,11,2,9,11,2,10,10,2,9,7,1,6,6,2,5,8,2,6,12,4,6,15,4,8,16,4,8,
16,4,8,17,5,9,18,5,10,19,5,12,21,6,14,23,6,16,24,6,19,26,7,21,26,7,21,25,6,21,25,7,22,25,7,23,25,7,23,25,7,22,24,6,20,21,6,17,
20,5,14,23,6,18,27,7,22,27,8,23,23,7,18,14,4,13,8,3,9,3,2,6,0,2,4,0,1,3,2,1,3,9,2,7,15,4,12,14,4,11,10,3,8,5,2,6,
1,1,4,0,1,3,0,0,2,0,0,1,4,1,3,12,2,9,14,3,11,8,2,8,2,1,3,1,0,2,5,2,5,7,2,8,9,2,10,8,2,10,9,3,11,10,4,14,
11,4,17,12,4,17,13,4,16,12,3,12,9,2,8,15,4,10,17,4,10,10,2,8,12,3,11,30,8,27,44,13,40,36,10,36,24,7,24,35,8,19,45,11,20,50,13,27,
53,14,30,37,10,23,10,2,9,2,1,1,22,5,6,26,4,10,7,5,10,30,38,29,55,66,49,42,62,48,40,57,48,53,71,72,82,85,90,96,108,102,74,125,106,51,128,101,
63,81,62,82,70,59,108,136,124,125,170,158,142,181,168,148,173,152,154,153,120,166,162,128,155,165,119,156,176,129,176,190,169,180,183,166,166,164,139,130,159,142,123,152,117,153,153,76,
172,152,66,157,141,70,135,134,77,111,79,54,109,49,40,91,64,45,73,96,47,99,112,37,136,112,39,112,79,44,32,17,17,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
4,17,11,13,56,34,17,77,51,40,156,107,70,189,135,85,170,112,84,148,102,73,158,129,79,194,158,72,184,145,61,157,112,65,160,124,88,179,143,109,192,126,108,188,125,101,180,132,
94,159,94,80,125,53,53,103,46,59,140,70,60,143,72,34,70,24,17,26,3,22,63,27,50,119,61,50,104,42,33,58,13,9,15,3,0,2,2,0,0,0,5,25,18,21,85,71,
32,121,110,36,133,123,35,129,113,27,106,85,20,88,76,36,118,115,72,134,124,87,123,93,72,107,71,37,85,65,17,73,69,22,88,80,24,92,73,19,79,58,20,77,63,22,79,70,
22,81,71,24,86,72,22,83,70,13,54,47,5,22,16,8,23,11,16,43,24,16,46,27,10,29,16,3,13,6,2,9,4,3,9,4,5,9,4,4,9,4,3,11,4,6,12,4,
9,14,4,9,14,3,6,10,3,2,4,1,0,0,0,2,3,1,6,8,2,6,9,2,5,8,2,6,10,3,8,11,3,8,11,3,6,9,2,4,5,1,1,1,1,0,0,0,
0,0,0,1,2,1,3,5,1,5,7,2,6,7,2,6,7,2,6,6,2,5,5,1,4,3,1,3,4,1,6,7,2,10,10,3,13,12,3,14,14,3,15,13,4,16,14,5,
17,15,11,16,16,11,15,14,9,12,11,6,9,9,6,14,10,12,18,10,18,21,10,19,20,9,18,20,8,19,21,8,20,22,7,21,23,7,22,26,8,23,27,8,24,27,8,24,
27,8,24,28,8,25,28,8,25,28,8,26,29,9,28,29,9,29,30,10,29,30,10,30,29,10,29,28,9,27,28,9,28,29,9,29,30,10,29,30,10,28,30,10,28,30,10,28,
31,10,29,31,10,28,28,9,25,21,7,19,11,4,11,7,3,7,7,2,8,6,2,5,10,3,5,14,4,10,19,5,15,20,5,16,14,4,13,6,2,7,1,1,4,0,1,2,
0,0,1,0,0,0,3,1,2,10,2,8,14,3,11,9,2,9,3,2,5,2,1,5,4,1,5,7,2,7,8,2,10,9,2,10,8,2,9,8,3,10,8,3,13,10,4,15,
12,4,16,18,5,19,13,3,12,8,2,6,21,5,10,35,9,16,30,7,15,19,4,15,33,9,29,45,12,41,34,10,35,25,8,23,38,10,21,53,13,28,55,14,32,52,14,29,
37,9,23,12,4,13,4,1,4,23,5,7,27,5,12,8,5,10,28,36,28,58,67,52,54,65,54,41,55,48,48,68,68,86,82,90,112,98,100,88,118,104,59,128,105,64,93,73,
78,63,52,107,125,115,126,168,157,138,180,168,149,179,163,158,165,146,173,163,138,160,158,116,151,168,116,173,191,165,182,189,174,174,170,149,138,160,145,116,152,128,146,154,86,165,149,65,
156,135,63,136,134,73,114,94,59,110,51,42,102,60,45,73,83,46,87,110,40,129,117,37,131,97,46,58,36,28,4,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,1,7,31,19,11,53,33,20,91,60,49,168,113,78,183,125,91,165,103,80,143,100,73,166,134,78,197,159,67,174,134,60,154,107,69,162,128,95,180,133,109,189,117,111,185,126,
110,183,129,99,159,86,73,116,50,51,109,50,63,148,77,57,136,67,29,58,19,13,26,3,24,71,31,48,114,55,46,96,36,32,59,17,15,35,17,5,11,3,1,1,0,7,32,23,
22,90,76,38,125,114,44,135,124,35,131,114,26,104,83,21,91,79,38,120,116,72,134,125,86,122,92,71,106,72,38,83,63,16,67,62,20,83,76,23,89,72,18,76,56,19,75,60,
20,76,66,20,73,65,21,80,67,23,86,71,14,58,50,6,23,20,7,20,10,14,37,21,17,47,27,12,35,19,4,15,8,2,8,4,3,9,4,5,9,4,4,9,4,3,10,4,
5,12,4,8,14,3,9,14,3,6,10,3,3,4,1,0,1,0,1,1,0,3,6,1,6,9,2,5,9,2,5,8,2,7,10,3,8,11,3,7,10,3,5,7,2,2,3,0,
0,1,0,0,0,0,0,0,0,1,2,1,3,5,1,4,7,2,6,8,2,6,7,2,6,6,2,4,4,1,3,2,1,2,2,0,2,4,1,5,6,1,6,8,2,9,9,3,
12,12,8,15,13,11,17,15,13,18,16,14,20,17,14,24,19,19,27,20,24,29,20,26,29,20,25,28,19,25,31,20,28,32,19,30,32,15,31,32,12,32,31,12,32,31,13,32,
31,12,33,32,12,33,32,12,33,32,12,32,32,12,32,33,12,32,32,12,31,33,12,32,33,13,32,33,13,32,34,13,33,34,13,33,33,13,32,33,13,31,32,12,30,31,11,29,
27,9,26,19,7,19,13,6,14,12,4,12,15,4,14,22,6,18,28,7,20,29,8,19,29,8,18,22,6,16,12,4,13,5,2,8,1,1,5,0,1,2,0,0,0,0,0,0,
4,1,2,10,2,7,14,3,10,11,3,10,6,2,7,2,2,5,3,1,5,6,1,6,7,1,6,7,2,8,8,2,10,8,2,10,7,3,11,7,3,11,8,3,12,13,4,15,
24,6,20,24,6,20,14,3,10,26,6,12,39,10,17,34,9,19,28,8,23,39,11,36,45,12,41,31,9,33,24,7,21,40,10,21,59,15,34,65,17,41,55,14,32,35,8,22,
10,3,12,4,2,5,20,5,7,26,5,11,9,5,10,26,35,27,60,67,52,62,65,58,57,46,46,48,45,48,78,61,68,111,90,93,96,100,96,70,114,100,86,98,91,94,61,65,
106,112,107,123,158,149,127,174,163,142,177,162,156,168,149,175,171,153,170,166,136,149,163,114,165,186,154,180,190,176,176,173,154,149,161,144,114,153,136,136,152,96,167,155,70,162,139,63,
140,133,71,122,116,70,108,61,45,105,48,41,76,67,45,75,102,45,115,115,35,138,106,45,86,57,37,14,5,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,2,2,8,36,22,13,59,38,28,117,77,58,175,118,85,180,117,94,167,99,75,145,105,74,175,141,76,190,149,63,164,119,59,147,105,71,157,126,99,180,124,107,179,107,
112,186,130,106,178,123,94,151,75,73,115,50,54,115,55,63,151,79,59,131,61,36,66,16,23,45,9,30,80,36,63,123,58,55,99,36,40,78,31,35,71,29,24,43,12,11,28,20,
13,58,53,39,105,87,68,136,117,53,137,124,35,132,116,29,110,93,21,93,83,38,119,115,72,135,126,85,126,102,75,113,83,40,85,64,16,68,63,19,80,76,23,90,74,20,79,59,
16,64,49,15,57,44,15,59,50,19,71,62,19,72,61,13,53,48,7,30,27,6,21,11,12,32,16,16,46,27,12,38,23,4,15,8,1,7,3,3,9,4,4,9,4,5,10,4,
4,10,4,4,11,4,5,12,3,7,11,3,6,10,2,4,7,2,1,2,0,0,1,0,2,3,1,5,7,1,4,6,1,2,4,1,4,7,2,6,10,3,6,9,2,5,8,2,
3,5,1,1,2,1,0,0,0,0,0,0,0,0,0,1,2,1,2,4,1,4,6,2,6,8,2,6,7,2,5,5,1,3,3,1,1,1,1,0,1,0,0,2,0,1,3,1,
1,3,0,1,1,0,2,2,1,5,4,3,14,7,6,20,11,9,22,12,11,23,14,13,23,15,15,26,16,18,30,18,23,30,19,26,30,15,27,30,12,28,30,12,28,30,12,28,
31,13,31,33,13,32,34,14,32,35,14,32,35,14,31,35,14,31,35,13,32,34,13,31,34,13,32,34,13,32,34,13,32,33,12,31,32,12,29,30,11,27,28,10,25,25,9,24,
23,7,22,20,7,20,25,7,22,31,9,25,34,9,27,34,10,26,29,9,23,21,7,18,10,4,11,3,1,6,0,1,4,0,0,2,0,0,0,0,0,0,5,1,3,10,2,8,
14,3,11,11,2,10,8,3,9,11,4,11,13,4,11,6,2,6,6,1,6,5,1,4,6,1,5,12,3,11,12,3,12,6,3,11,6,3,12,5,2,10,13,3,12,26,6,20,
23,6,19,21,5,15,33,9,17,39,10,18,32,8,21,31,9,30,43,13,41,44,13,42,28,9,30,26,7,19,48,12,26,67,17,43,65,17,43,54,14,32,35,8,24,9,2,12,
6,2,5,25,5,10,27,5,12,7,5,10,26,36,27,57,65,51,69,67,61,80,42,47,69,20,33,82,37,47,111,66,74,96,83,84,67,97,89,89,90,93,113,53,81,118,89,105,
123,147,142,127,167,157,135,174,160,149,167,149,173,171,152,174,169,142,148,157,111,152,178,142,178,191,175,180,172,157,150,152,140,115,156,146,130,158,119,156,152,73,162,140,63,139,127,76,
116,118,82,107,68,50,113,49,43,64,33,39,46,71,38,92,106,33,124,100,36,107,75,42,32,18,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,5,19,12,14,62,37,13,64,42,36,140,93,68,176,116,88,168,93,88,152,86,70,141,106,74,172,133,71,177,134,63,155,105,63,149,109,77,163,130,102,180,117,
107,181,110,111,185,129,102,169,102,94,144,61,68,109,45,50,118,57,65,155,81,69,139,58,48,82,19,28,52,12,50,96,44,75,128,58,55,99,33,58,104,36,47,94,39,35,75,51,
16,58,60,25,78,68,68,122,94,80,143,121,53,140,127,36,134,122,26,108,93,20,90,80,36,117,113,70,135,127,87,128,108,76,113,82,44,89,65,19,70,63,18,76,72,21,86,73,
16,66,49,11,46,29,9,35,23,11,44,38,15,58,52,17,66,58,15,61,54,8,35,33,6,21,15,9,26,12,13,36,20,6,21,12,0,2,1,1,5,3,2,9,5,4,9,4,
10,13,5,18,20,8,12,17,6,4,10,4,4,10,2,6,10,2,5,8,2,2,3,1,1,1,0,11,10,3,13,12,3,6,7,2,2,4,1,2,4,1,4,7,2,6,9,2,
6,8,2,3,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,3,1,3,4,1,3,5,1,3,5,1,3,4,1,2,2,1,1,2,0,1,1,1,
0,1,0,0,0,0,0,0,0,0,0,0,6,1,1,10,2,2,11,3,2,12,3,2,14,4,4,19,6,9,22,7,13,22,7,13,23,8,14,26,9,18,29,10,22,29,10,23,
31,11,26,33,12,29,34,13,30,35,13,30,35,12,30,34,12,30,34,12,30,34,12,30,34,11,30,34,11,31,34,12,31,35,11,32,36,11,31,34,10,28,34,11,29,35,11,30,
37,12,32,39,12,34,40,13,35,36,12,31,25,9,22,13,5,14,4,2,8,0,1,4,0,0,1,0,0,0,0,0,0,4,1,3,13,3,10,19,5,16,15,4,13,10,2,9,
8,2,9,11,3,11,15,4,12,13,3,11,7,2,6,3,1,3,6,1,4,14,3,11,20,5,16,28,7,23,17,5,18,5,2,10,7,3,9,18,4,15,31,7,24,30,7,24,
28,8,19,37,9,19,38,10,20,30,8,23,35,10,34,54,16,49,51,15,48,27,8,27,29,8,18,58,15,35,83,22,59,77,20,54,55,14,34,35,9,25,11,3,14,10,3,6,
44,10,15,48,10,18,19,9,13,32,40,29,62,70,54,71,67,61,79,42,47,86,22,39,97,28,50,119,55,73,104,68,80,66,85,82,83,83,87,113,51,83,122,68,100,123,129,133,
125,159,151,141,170,158,157,163,147,174,171,153,176,173,147,150,158,116,148,175,136,172,191,174,183,179,171,169,149,143,119,148,144,120,163,137,150,155,88,160,140,63,143,122,67,112,118,89,
96,74,64,109,46,42,78,30,39,28,38,32,51,79,30,91,84,26,81,55,27,40,24,18,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,7,31,18,13,57,35,19,85,56,45,160,105,74,170,100,91,162,80,85,145,86,69,140,104,78,176,132,83,180,125,77,166,108,64,151,113,80,167,128,
106,185,123,110,187,118,107,176,113,98,160,82,92,141,60,61,104,44,54,128,63,79,164,85,78,145,57,48,79,16,27,53,13,57,105,48,78,130,58,61,104,36,59,107,41,53,104,53,
38,87,67,19,67,69,32,91,76,74,135,106,82,149,127,56,141,129,52,137,123,36,112,97,19,90,80,34,115,110,66,133,127,87,129,110,82,117,87,52,95,71,19,69,60,14,66,66,
17,74,68,9,47,37,3,15,8,5,17,10,11,40,32,13,52,48,15,60,53,12,51,48,9,37,37,6,25,21,5,18,9,3,13,6,0,4,3,0,1,1,0,4,2,1,5,3,
8,9,3,27,25,7,34,33,10,23,25,9,9,15,5,4,8,2,3,6,2,3,4,1,0,0,0,6,5,2,13,11,3,17,15,4,13,13,4,7,8,2,3,5,2,3,5,1,
4,6,1,3,5,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,0,2,4,1,3,4,1,9,6,3,15,7,4,
14,6,4,11,5,4,13,4,8,13,4,9,9,3,7,7,2,5,7,2,5,7,2,5,13,4,10,19,5,16,20,5,18,23,6,17,26,7,18,29,8,21,32,9,26,33,10,28,
34,10,28,34,10,29,34,11,30,36,11,31,37,11,34,38,12,34,38,12,35,39,12,36,40,13,37,41,13,39,42,14,40,43,14,41,43,14,39,42,14,37,41,13,36,39,12,35,
37,12,35,35,12,35,31,10,32,23,8,25,7,3,10,0,0,1,1,0,1,7,1,5,10,2,8,12,3,10,19,5,16,29,8,25,33,8,29,24,6,23,11,3,12,17,5,15,
28,6,22,23,6,19,11,3,10,1,1,4,3,1,6,13,4,11,29,7,23,37,10,30,29,8,26,17,5,20,9,3,12,13,3,12,24,6,19,35,9,28,44,12,36,47,13,33,
44,12,25,34,8,21,29,8,26,41,12,40,59,17,54,59,17,55,42,12,36,37,10,21,64,17,40,86,24,64,83,23,61,61,16,42,36,9,27,16,4,17,17,4,11,54,13,18,
72,17,26,50,18,24,43,43,34,65,69,58,88,72,76,95,46,63,91,25,45,99,28,53,123,54,78,106,54,77,63,64,73,80,77,84,115,52,84,124,61,95,123,105,113,121,144,137,
140,166,154,161,165,151,179,169,153,182,172,153,148,146,112,138,164,126,168,189,168,184,185,180,176,161,164,135,149,151,119,161,142,147,159,97,154,139,68,151,132,87,123,124,101,98,89,76,
103,44,42,91,35,40,34,28,32,37,70,32,60,72,21,47,36,13,23,13,9,3,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,4,3,9,39,25,13,59,37,23,105,69,55,169,108,80,166,90,93,160,79,80,140,90,74,148,107,93,185,129,97,188,126,80,167,110,61,153,119,
85,173,132,107,188,119,110,184,113,103,171,106,96,157,78,90,133,51,59,110,50,58,134,69,86,169,86,81,143,53,49,78,16,28,54,16,60,109,51,74,126,56,59,102,34,61,108,39,
52,102,53,37,85,69,21,78,75,37,112,92,75,144,114,82,149,127,72,147,132,66,145,128,39,114,100,38,100,84,56,124,112,70,134,127,81,127,110,83,118,89,54,88,63,20,54,49,
18,61,61,23,67,66,7,35,35,10,18,8,27,36,12,22,43,28,11,46,42,12,50,47,11,47,45,10,40,41,8,32,30,10,24,14,6,14,6,1,6,3,0,1,1,0,1,0,
0,1,0,7,6,2,22,20,5,34,32,9,32,31,10,19,20,6,6,8,2,0,1,0,0,0,0,0,0,0,0,0,0,6,5,1,13,11,3,17,15,4,15,15,4,9,10,3,
5,7,2,7,8,2,10,11,3,7,8,2,2,4,1,0,1,0,0,0,0,0,0,0,3,2,1,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,7,3,2,16,6,4,
20,8,5,20,9,6,23,10,9,25,8,13,25,7,14,24,6,14,23,6,15,25,6,17,29,8,24,34,11,32,37,13,35,38,13,36,40,14,37,41,14,37,41,14,38,41,14,38,
41,14,38,42,14,38,41,14,39,42,14,40,43,15,42,44,16,42,44,16,42,44,16,41,43,16,41,43,16,41,43,16,41,41,15,40,38,15,38,35,12,35,31,10,32,28,9,30,
25,9,27,22,8,24,18,7,20,14,6,16,12,4,12,16,4,13,26,6,22,35,9,32,39,10,37,39,11,35,37,10,34,35,10,32,28,9,27,26,8,24,31,8,26,38,9,31,
35,9,30,23,6,21,13,3,13,14,4,12,27,6,21,37,9,29,35,10,30,22,7,23,11,4,16,12,4,14,21,6,18,32,8,25,42,11,34,55,15,43,60,17,44,54,15,38,
41,11,32,36,10,34,52,15,48,64,18,57,55,16,50,40,11,34,45,12,28,73,19,50,90,25,69,81,23,59,67,18,47,54,15,43,38,9,33,36,8,22,63,15,25,74,17,29,
64,24,35,62,51,50,70,70,64,91,69,80,112,50,80,106,30,65,101,26,57,119,36,69,110,45,75,66,53,68,76,66,78,115,52,84,136,61,98,138,98,108,127,130,121,136,160,145,
159,162,149,177,168,151,184,176,158,154,152,121,126,151,116,156,181,160,182,187,181,180,168,172,144,155,162,120,162,152,137,159,117,150,139,71,150,129,84,134,136,123,104,100,91,99,47,43,
102,41,40,47,25,34,29,59,32,51,70,22,35,32,9,8,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,3,14,9,12,54,32,14,64,41,30,121,80,61,167,104,84,164,84,94,160,84,71,119,70,78,143,94,99,188,129,95,185,122,75,163,109,
63,156,125,92,177,127,115,193,118,112,186,116,100,169,102,103,161,75,92,134,51,52,105,46,62,140,72,99,178,90,83,141,49,45,74,14,29,59,18,62,112,52,79,129,57,58,101,34,
58,104,37,53,104,54,40,89,71,25,89,82,38,116,94,72,141,112,84,151,128,79,149,132,71,146,129,60,129,108,64,120,91,69,128,108,65,127,117,79,125,110,81,113,85,58,82,57,
45,70,52,53,83,74,43,82,80,29,59,52,36,46,20,40,45,13,26,41,21,12,41,34,11,48,46,11,48,46,12,44,43,30,52,42,37,50,30,18,28,11,3,10,4,0,1,1,
0,0,0,0,0,0,1,1,0,10,10,2,25,24,6,34,31,9,29,26,7,16,14,4,5,5,1,0,0,0,0,0,0,0,0,0,0,0,0,4,3,1,10,9,2,16,14,4,
17,17,4,21,20,5,26,23,6,24,22,6,18,18,5,12,12,3,6,7,2,7,8,2,16,15,4,17,15,4,13,11,3,8,7,2,3,4,1,1,1,0,0,0,0,3,0,1,
11,3,3,12,3,3,13,4,3,13,4,3,14,3,4,15,4,5,16,4,6,18,5,7,22,6,13,28,9,21,31,11,25,34,12,28,35,13,31,36,13,31,36,13,32,38,14,34,
41,15,38,42,16,40,40,16,40,38,15,39,36,14,38,36,14,37,36,15,37,35,14,36,33,13,34,31,13,33,29,12,32,27,11,30,24,10,27,21,8,24,19,8,21,16,7,18,
16,6,18,18,7,19,22,8,23,30,9,29,38,11,36,45,12,43,48,14,46,47,15,46,44,14,42,36,12,35,33,10,31,34,11,31,36,11,33,38,11,34,36,10,32,32,9,30,
28,8,27,32,9,29,40,11,34,46,11,37,36,9,31,22,7,23,10,4,16,12,4,15,28,8,20,41,10,28,40,10,32,49,13,39,63,18,47,69,19,52,63,18,50,56,16,49,
58,17,53,71,21,64,75,22,66,54,15,47,39,11,30,55,15,36,83,23,61,95,27,74,87,25,65,75,21,51,71,19,49,62,15,48,56,14,42,76,19,40,75,19,33,62,24,35,
65,53,54,76,73,71,94,71,83,109,47,79,112,32,76,112,31,72,120,32,70,111,35,71,88,56,73,95,68,81,118,56,87,136,60,98,146,98,111,139,127,121,139,152,141,156,164,149,
175,166,151,182,175,161,156,158,130,125,149,113,149,177,155,181,187,181,184,171,175,153,157,164,120,164,158,133,165,136,146,145,102,145,123,86,140,135,119,112,115,105,97,54,49,103,40,37,
62,27,35,27,51,35,49,78,30,44,43,11,12,6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,23,14,13,57,34,13,61,40,32,123,79,69,170,99,88,166,84,88,144,70,67,107,54,82,155,99,100,191,131,93,179,114,
69,157,107,65,157,125,107,187,132,120,195,122,113,187,117,108,171,101,119,160,62,92,126,38,45,102,45,66,145,77,99,177,87,91,149,50,59,91,19,32,63,19,64,113,53,80,129,59,
70,111,47,82,123,61,75,119,66,49,97,70,35,99,83,39,120,98,73,144,118,106,158,135,101,155,135,83,152,133,77,142,114,73,124,89,71,121,95,71,127,112,80,127,112,84,117,92,
70,92,61,61,81,54,71,93,75,74,102,89,51,74,58,33,40,16,37,37,7,32,38,13,16,38,26,15,44,38,22,48,35,32,52,37,44,63,49,46,62,42,29,37,18,10,11,3,
0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,13,13,3,26,25,7,32,29,8,28,25,7,17,16,4,6,6,1,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,
7,7,2,15,14,4,23,22,6,29,26,7,32,27,8,33,26,8,27,23,7,23,22,6,24,24,6,25,24,6,25,23,6,23,20,5,22,18,5,20,16,4,14,13,3,14,10,3,
21,10,5,23,9,6,22,7,5,25,7,6,26,7,7,23,6,6,20,5,5,18,4,4,17,3,3,17,4,4,17,3,5,17,4,6,17,4,7,17,5,8,19,5,10,26,8,18,
33,11,28,36,13,32,35,13,32,35,12,31,33,12,30,30,11,28,30,11,27,28,10,25,23,9,23,19,8,20,17,7,19,18,7,19,20,7,20,24,7,24,28,9,27,31,10,30,
36,11,35,44,13,41,50,15,46,53,17,50,52,17,50,48,16,47,41,15,41,38,14,37,35,13,34,36,12,34,37,11,35,37,11,34,33,10,32,28,9,28,30,8,28,34,10,32,
43,12,39,52,15,46,49,14,43,32,10,32,12,5,17,11,4,13,25,7,18,41,10,26,47,12,34,51,14,40,63,18,50,74,21,57,72,20,57,62,18,54,63,18,57,73,22,66,
81,24,73,77,23,69,59,17,51,48,13,34,65,18,45,88,25,68,97,28,76,91,27,69,80,22,56,76,21,53,77,20,59,83,22,65,85,23,57,74,19,39,61,17,33,63,36,44,
76,63,68,105,69,85,114,45,80,110,30,76,116,33,77,121,33,73,109,36,71,93,57,74,115,74,88,132,57,92,138,52,93,143,93,106,140,124,118,139,145,136,155,160,147,173,163,145,
180,173,158,154,161,145,118,147,123,141,170,151,183,186,177,187,174,176,157,156,164,120,163,159,130,171,150,147,156,121,146,133,101,142,133,115,111,127,114,74,57,47,99,44,34,79,47,52,
26,42,38,41,72,27,48,53,13,17,13,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,8,35,21,12,55,33,12,61,41,45,142,89,78,169,96,91,163,79,85,134,60,66,107,56,86,163,104,96,183,110,
86,171,98,64,154,109,71,160,127,110,188,123,118,194,119,114,186,117,121,176,97,123,160,56,80,114,34,47,106,48,76,154,81,114,187,90,100,157,52,63,95,21,39,69,21,78,122,56,
104,145,83,106,137,91,113,144,91,84,126,71,59,108,73,45,113,96,45,132,118,86,153,134,117,161,138,111,157,135,96,152,130,81,143,117,78,133,104,97,134,104,92,135,115,80,128,115,
81,117,96,72,95,65,64,85,57,73,90,63,78,94,67,52,65,42,29,32,10,36,35,7,36,38,9,29,40,16,37,47,17,38,47,15,33,46,27,38,55,42,43,55,37,36,34,13,
20,18,4,5,5,1,0,0,0,2,1,0,0,0,0,0,0,0,2,3,0,13,13,4,26,26,6,33,30,8,29,26,7,20,18,4,10,9,3,9,8,2,5,5,1,2,1,1,
11,1,3,15,3,4,11,5,3,12,9,3,26,18,6,39,26,10,43,30,11,41,30,10,37,29,9,32,28,8,29,26,7,29,26,7,34,25,9,37,25,9,35,24,8,32,23,8,
33,22,8,32,21,8,34,21,9,40,21,10,44,21,11,44,20,12,43,19,11,42,17,11,40,16,10,39,15,10,38,14,9,37,13,9,36,11,8,34,9,8,34,9,8,36,9,11,
39,11,16,41,12,20,40,12,19,41,12,20,40,12,22,38,10,23,38,11,24,37,10,26,33,10,27,33,9,31,37,11,35,42,13,41,48,14,46,52,16,50,54,17,52,55,18,52,
54,18,52,54,19,51,52,19,49,50,18,48,47,17,45,43,16,41,45,15,41,45,14,41,40,12,36,35,10,33,30,9,29,28,8,27,32,9,30,43,12,39,54,16,49,58,16,52,
49,14,45,31,10,33,16,7,22,16,6,20,30,8,25,41,10,27,50,13,35,56,15,45,62,18,50,74,22,59,82,25,68,79,24,68,71,22,63,69,21,64,79,24,71,82,24,74,
68,20,61,54,16,46,61,18,46,83,24,62,94,27,74,98,29,78,99,29,77,93,27,70,83,23,61,80,22,63,92,25,73,94,27,66,77,21,49,66,18,40,60,16,36,80,36,56,
108,48,77,124,45,83,117,33,79,117,34,76,129,38,79,122,45,77,104,62,78,120,76,92,139,58,98,142,46,92,143,81,96,138,120,114,139,141,133,154,151,142,171,160,142,180,169,151,
155,159,143,117,149,128,129,164,151,177,183,181,189,173,181,160,151,165,108,153,159,124,176,161,139,164,148,142,140,128,144,133,118,119,132,119,54,67,53,59,37,18,69,63,56,32,70,75,
20,64,48,30,40,14,20,17,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,6,4,7,32,18,8,39,22,22,81,52,57,155,95,78,164,88,92,161,74,80,124,57,66,110,56,88,161,89,
93,176,98,83,166,95,56,137,97,68,147,109,106,184,106,115,192,115,114,185,118,122,174,97,123,158,55,88,126,39,60,123,55,85,163,85,116,188,95,105,163,71,63,96,26,55,82,22,
104,140,71,123,159,103,120,146,104,116,147,94,89,129,70,64,115,79,49,124,110,43,136,127,81,152,135,126,164,140,125,159,132,112,154,133,91,149,133,84,140,116,101,137,105,98,138,113,
81,129,114,77,115,95,77,104,75,61,81,52,60,70,34,70,73,37,61,68,37,39,46,22,33,33,8,38,38,8,39,43,11,36,40,10,40,42,10,43,47,16,37,44,21,31,29,9,
36,31,8,30,27,7,20,19,4,22,19,5,15,13,4,4,4,1,0,0,0,0,0,0,3,3,1,14,13,4,22,21,5,29,26,7,31,27,7,35,30,8,30,27,7,21,19,5,
22,12,5,29,8,7,27,6,6,21,3,5,22,4,5,28,9,7,32,13,8,35,19,8,39,23,10,41,27,10,41,29,10,41,31,10,43,30,11,43,29,11,42,27,10,41,27,10,
40,26,10,39,26,9,38,26,10,40,27,10,44,27,11,44,27,11,44,26,12,43,24,11,44,25,11,45,25,14,50,28,24,51,29,27,49,25,26,45,17,23,42,11,21,43,11,21,
44,12,22,44,12,26,44,12,27,45,12,29,48,14,37,51,16,45,52,17,47,53,18,49,53,17,50,55,19,53,57,20,56,58,21,56,57,21,55,54,20,52,51,19,50,48,18,46,
47,17,44,48,17,45,48,16,46,49,16,46,49,16,46,49,15,46,48,14,44,45,13,41,39,11,36,35,10,32,39,11,36,52,15,47,64,19,58,66,20,62,57,17,54,35,12,38,
16,6,22,17,6,21,37,10,31,55,14,44,62,16,50,61,17,50,68,20,56,78,23,64,83,25,68,81,24,69,75,23,67,74,23,68,82,26,75,87,27,80,76,23,69,47,14,46,
49,14,41,81,24,62,101,30,82,102,30,83,99,30,78,101,30,80,103,31,81,95,27,76,87,24,72,95,27,74,91,26,63,75,22,50,77,22,54,82,22,54,85,23,57,108,31,70,
122,35,80,119,34,81,121,36,79,131,39,80,128,38,76,122,56,80,129,75,94,139,58,99,142,46,95,143,81,96,137,112,110,145,139,138,157,154,147,167,159,144,175,168,153,148,154,142,
105,140,124,126,164,148,174,184,183,192,177,190,159,142,169,103,143,159,109,171,161,137,174,160,139,146,142,144,138,136,125,133,124,65,81,66,34,27,8,40,47,33,28,79,81,18,84,81,
8,31,25,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,21,12,11,48,27,29,101,63,63,162,98,84,164,86,95,160,76,78,120,55,69,114,57,
88,163,89,95,177,96,78,156,88,51,122,80,67,134,81,108,180,97,111,186,105,110,182,115,122,173,92,126,161,53,94,138,42,61,127,57,84,164,92,121,193,119,106,167,84,81,113,31,
87,108,28,111,140,64,117,144,90,116,140,98,126,151,95,103,138,75,69,120,79,54,127,109,45,135,125,84,154,137,142,169,143,148,166,139,129,159,141,99,153,138,82,143,122,95,136,105,
101,136,106,90,128,104,86,119,92,80,108,80,66,87,59,54,63,30,66,69,27,79,83,44,63,68,35,37,39,12,35,35,7,36,37,8,39,38,9,58,54,13,63,60,14,45,44,11,
31,29,7,31,28,7,39,34,9,37,34,8,33,29,8,26,23,6,13,12,3,9,4,2,15,3,4,19,3,5,14,4,4,10,8,3,18,16,4,26,23,6,33,29,8,35,31,8,
35,31,9,34,26,8,32,20,8,30,13,7,31,9,7,39,9,9,43,9,11,37,9,9,33,8,8,33,10,8,37,15,9,38,20,9,39,23,10,39,23,10,35,19,9,37,21,9,
39,23,9,40,23,10,40,25,10,40,25,10,42,26,10,45,27,11,39,19,10,35,14,8,35,14,9,38,16,12,44,20,23,45,22,28,45,19,28,42,14,27,41,12,26,45,13,28,
48,14,32,48,15,39,46,15,40,46,15,40,49,17,44,52,18,47,50,18,46,50,18,45,52,19,46,52,19,46,47,17,45,42,16,41,40,15,39,42,15,40,43,15,41,44,14,41,
46,14,43,49,15,46,49,15,45,46,14,44,45,14,43,45,13,43,47,14,45,52,15,50,59,18,56,64,19,59,68,20,62,64,19,60,50,16,50,31,12,36,20,9,26,24,9,25,
42,11,36,58,15,47,67,18,55,71,21,61,77,25,67,83,26,72,88,27,75,86,27,74,72,22,65,63,20,60,73,23,68,90,28,82,92,29,84,75,22,70,43,13,43,48,14,44,
91,26,74,110,34,89,105,33,86,100,30,79,102,30,80,101,30,81,94,27,78,92,27,78,96,28,73,87,25,59,78,22,52,82,23,59,91,25,66,100,28,73,115,32,76,123,35,80,
118,34,81,122,36,78,132,39,80,128,37,75,125,36,76,137,47,93,142,49,100,140,49,93,141,81,96,139,112,111,137,122,126,152,139,138,167,157,142,169,168,158,131,146,146,73,117,115,
95,143,138,166,175,178,191,180,194,166,152,178,99,136,157,96,163,158,133,174,159,138,151,146,144,137,136,135,143,133,72,94,79,32,28,12,43,46,27,31,75,74,21,95,90,12,52,45,
1,4,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,5,24,13,11,45,28,33,109,68,68,161,94,87,163,82,96,158,74,73,110,50,
64,96,43,90,156,79,96,179,97,75,149,82,46,103,62,65,116,60,102,168,73,111,186,99,109,180,115,124,174,93,125,162,53,86,129,39,55,117,48,82,154,84,121,192,120,111,171,87,
92,124,35,91,110,24,108,130,51,115,141,86,130,151,106,143,162,104,120,150,90,90,139,101,72,139,116,60,141,128,91,155,137,142,170,144,154,170,143,138,162,142,115,159,144,91,148,128,
94,139,111,115,142,105,116,141,112,100,127,102,84,107,80,65,88,60,56,71,40,71,74,29,92,91,40,84,88,43,53,58,26,35,36,10,35,36,7,45,44,10,61,59,14,71,67,17,
60,58,15,45,44,11,47,43,11,48,44,11,42,37,9,38,33,9,33,30,8,33,25,8,42,20,10,47,15,11,42,10,10,29,5,7,21,8,4,18,13,4,15,14,4,20,19,5,
28,25,6,34,30,8,36,32,9,34,30,8,33,26,8,38,22,9,44,18,11,47,15,12,48,14,12,51,14,13,54,14,14,51,13,14,46,12,12,40,11,10,35,9,9,32,10,8,
31,10,7,31,12,7,30,13,7,31,15,8,35,17,8,39,19,9,36,14,8,33,8,7,33,8,8,31,8,8,25,6,6,24,5,7,25,5,8,24,6,9,25,6,9,29,7,13,
36,10,20,34,10,25,36,11,27,36,11,28,35,11,28,35,11,29,34,10,28,33,10,27,33,10,28,31,10,28,28,8,27,26,8,25,35,10,32,43,13,40,47,14,43,47,14,44,
45,14,43,44,13,43,45,14,44,49,14,47,54,16,51,61,19,57,68,21,64,70,23,66,65,21,63,54,19,54,36,13,40,22,9,28,18,8,22,29,9,28,49,14,41,62,17,50,
67,19,57,71,21,62,78,25,69,87,28,76,92,31,81,90,29,81,79,25,73,67,21,62,63,19,60,76,23,70,89,27,80,87,26,79,73,22,67,59,17,54,77,23,66,106,32,89,
112,35,93,105,32,85,102,31,81,103,31,82,99,28,80,92,27,79,96,28,79,98,29,71,83,24,55,80,22,54,88,24,62,93,26,68,105,31,77,125,36,84,122,36,83,112,33,79,
120,36,77,132,39,79,126,37,74,126,36,77,143,42,102,149,44,110,139,42,94,129,74,94,132,112,111,139,117,125,148,126,128,162,141,129,166,164,155,123,142,145,54,107,110,70,121,127,
151,166,177,185,173,193,167,150,180,99,135,157,71,158,153,107,169,155,124,146,143,141,136,136,137,138,131,80,103,89,33,34,17,43,42,20,30,64,64,21,88,87,14,62,56,1,7,5,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,7,4,5,26,16,10,38,24,35,101,61,69,152,82,88,160,77,95,153,71,
66,89,36,64,94,40,89,158,81,92,175,96,69,140,75,40,86,47,67,111,49,114,173,78,116,186,101,109,180,115,116,167,83,120,157,44,84,122,32,46,92,26,79,145,77,117,190,118,
114,174,92,96,128,38,93,109,23,112,137,62,127,156,109,138,161,121,150,170,121,136,167,117,114,156,111,107,154,121,81,149,130,84,153,136,132,167,142,158,172,142,154,168,142,133,164,147,
99,153,135,101,144,114,128,149,117,127,145,116,105,123,98,83,100,75,72,92,67,56,79,55,54,65,32,80,81,31,97,96,45,82,86,41,50,54,21,33,34,8,40,40,9,62,61,14,
74,72,18,75,72,19,73,69,18,66,62,17,54,50,13,47,43,11,42,38,9,39,34,9,44,34,11,51,31,12,52,25,13,51,17,12,51,19,12,50,24,12,40,22,10,25,17,6,
16,13,4,16,15,4,21,20,5,31,28,7,35,31,8,28,26,6,21,18,5,26,19,6,42,29,11,55,32,13,63,30,16,65,26,17,64,22,17,62,19,17,60,17,16,56,15,14,
51,13,13,47,12,12,43,11,10,41,11,11,41,11,17,38,10,16,35,9,14,33,8,11,32,8,11,28,6,9,16,4,6,8,2,4,7,1,3,8,2,3,7,1,2,8,2,3,
9,2,6,11,3,8,20,5,16,29,8,25,31,9,27,31,8,28,32,9,29,33,9,30,33,9,31,30,9,28,26,7,24,25,7,24,32,9,31,40,12,38,46,13,43,47,14,45,
51,15,48,54,16,51,59,18,56,64,20,61,62,20,59,56,19,55,48,17,50,36,14,41,23,10,29,18,8,23,23,8,23,38,10,32,54,15,44,65,18,54,68,21,59,71,22,63,
76,24,69,83,26,75,89,28,80,89,28,80,80,26,74,68,22,64,65,20,62,74,23,69,86,26,78,86,25,77,76,23,69,72,21,65,82,24,71,100,30,85,115,37,98,115,37,97,
108,34,89,102,31,81,101,30,81,94,28,78,92,27,78,103,30,79,103,30,69,88,25,56,81,22,56,88,24,63,95,26,71,112,33,79,131,39,86,126,38,85,106,31,75,109,31,73,
126,36,73,124,35,71,129,38,82,146,44,106,151,46,114,140,45,99,120,63,93,115,88,107,135,111,125,148,124,126,161,140,128,163,148,146,116,119,131,49,89,101,69,123,128,148,161,175,
183,168,192,160,134,172,99,125,150,67,154,150,78,166,149,87,140,136,122,134,141,137,145,140,89,110,95,32,36,20,42,39,17,36,65,60,18,67,76,12,55,55,3,14,10,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,3,3,13,7,7,25,15,38,105,60,71,150,79,92,162,76,
92,146,68,62,85,33,65,102,45,91,163,83,89,170,91,65,137,72,44,87,47,89,127,55,133,185,79,116,185,99,102,168,91,109,156,53,118,156,38,84,119,27,50,94,25,80,147,74,
117,190,118,112,175,94,94,130,41,96,114,30,119,143,72,126,155,112,130,157,120,151,171,121,152,175,122,137,167,117,127,161,120,94,150,126,75,149,133,116,163,141,154,170,137,157,168,136,
140,164,139,114,156,132,111,150,121,128,149,113,129,143,108,112,124,95,90,103,80,59,83,65,31,63,52,35,56,38,63,67,25,101,100,39,107,109,53,75,79,36,44,46,13,36,36,8,
50,50,11,66,65,16,76,74,19,81,77,21,79,74,20,66,63,16,55,51,13,47,43,11,43,40,10,40,36,9,41,32,9,47,31,11,55,28,13,64,27,16,71,28,18,66,28,17,
53,25,13,37,21,9,28,20,7,35,30,9,37,33,9,27,24,6,12,11,3,9,9,2,21,20,5,36,32,9,46,38,12,53,40,13,56,39,15,60,38,15,63,34,16,63,31,16,
64,27,17,65,24,17,63,21,16,63,20,17,64,20,25,62,19,28,58,16,27,54,15,26,53,15,26,51,14,26,47,13,24,39,11,21,37,10,20,36,10,20,36,9,19,31,8,18,
21,5,15,16,4,14,21,5,18,32,8,30,36,10,35,36,10,35,36,10,36,36,10,36,36,10,36,38,11,37,37,10,36,41,12,39,42,13,41,47,14,45,54,17,51,60,19,57,
58,19,56,52,17,51,44,15,45,35,13,38,24,10,29,17,7,22,16,6,19,22,7,21,35,10,29,49,13,39,61,17,50,72,21,63,78,24,70,79,26,73,79,25,73,84,26,77,
86,27,80,83,26,78,75,24,71,66,21,63,66,21,62,75,23,69,85,26,78,86,26,79,78,23,71,71,21,64,81,24,70,98,29,83,111,35,96,113,36,99,109,35,92,106,33,86,
103,30,82,100,30,83,96,28,82,97,28,79,107,31,76,102,29,64,89,25,58,81,22,60,86,23,64,101,29,74,120,35,82,133,40,87,123,37,83,105,31,75,110,32,78,121,34,78,
122,34,71,133,38,88,149,45,111,153,47,116,136,42,92,116,52,83,111,78,103,128,102,120,151,124,128,162,140,130,160,148,147,109,106,126,43,76,93,71,120,127,151,165,177,182,163,188,
158,122,164,94,103,133,65,144,139,78,166,146,75,137,134,99,129,140,125,150,155,95,132,123,36,46,31,45,40,19,37,62,61,17,67,75,13,54,58,2,13,10,1,0,4,1,1,3,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,11,31,18,43,109,60,73,144,69,
95,163,76,89,144,66,57,81,33,66,100,43,89,152,73,87,162,81,67,138,71,46,91,48,92,128,56,131,183,78,115,181,86,95,158,67,99,146,43,114,152,38,95,133,31,65,115,28,
88,152,80,126,191,125,118,176,99,92,131,45,92,108,27,111,125,60,126,152,106,131,158,121,151,170,121,162,178,123,154,174,120,139,166,119,104,154,128,70,141,126,101,152,132,145,165,132,
155,164,123,146,161,119,132,161,129,126,158,128,128,152,115,131,146,104,119,132,98,87,101,66,60,83,45,57,85,57,45,62,37,45,47,13,82,80,25,113,112,46,108,111,52,73,77,34,
42,43,13,36,36,7,53,53,12,81,78,20,93,88,23,93,89,24,82,77,20,68,63,17,58,53,13,51,47,12,44,40,9,38,34,9,42,34,9,58,35,14,74,36,19,78,33,20,
76,30,20,72,29,18,66,30,17,63,38,16,57,41,14,50,39,12,40,33,10,31,28,8,24,22,6,22,20,5,22,21,5,25,24,6,29,28,7,35,32,8,41,35,10,47,38,11,
49,39,12,53,39,13,55,37,14,52,29,13,54,26,13,54,26,14,51,23,14,52,22,15,53,22,17,54,21,17,53,21,19,45,18,16,42,17,15,43,17,17,39,13,15,28,9,12,
14,5,9,3,2,7,7,3,9,16,5,18,25,8,28,26,9,29,23,8,27,22,8,25,26,9,27,36,12,35,41,13,40,44,15,44,40,14,42,35,12,37,34,12,35,30,11,32,
24,8,26,19,7,22,16,5,18,14,5,16,23,7,20,39,10,31,50,14,41,58,16,48,63,18,55,67,20,61,74,22,68,82,26,76,86,28,80,87,29,82,85,28,81,80,25,76,
71,22,67,64,20,61,66,20,62,77,23,70,86,26,78,86,26,79,78,23,72,72,21,64,77,22,66,94,28,79,108,33,94,110,34,97,106,33,92,102,31,85,102,31,82,102,31,83,
101,30,86,107,32,93,112,33,88,105,31,70,96,28,60,87,24,60,80,21,62,78,21,64,103,29,76,128,38,85,133,40,88,115,34,79,104,30,76,119,35,86,131,38,92,133,39,91,
142,42,101,152,46,115,150,46,112,132,41,89,108,31,62,106,48,76,128,94,115,144,122,123,156,134,131,145,127,144,91,92,120,38,80,95,64,120,127,144,164,177,181,163,191,159,122,168,
92,97,135,58,133,130,76,163,141,79,142,135,81,121,134,94,138,155,66,133,133,39,72,58,38,36,25,47,70,85,25,72,92,13,56,60,4,17,17,6,6,25,8,10,38,1,1,5,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,11,26,13,44,97,48,
77,141,65,97,165,76,86,138,64,56,78,29,61,86,29,84,141,60,87,161,80,59,131,68,38,82,45,95,130,58,129,179,73,112,175,75,86,150,63,98,146,43,120,158,40,108,151,37,
84,137,52,106,164,107,136,189,129,124,177,101,90,131,49,85,99,23,105,117,50,126,149,98,136,162,122,159,175,127,174,184,137,165,180,125,145,170,118,122,160,126,99,153,133,101,154,134,
131,160,131,154,164,120,155,164,113,146,164,121,132,161,127,129,156,123,136,151,109,126,134,77,105,110,46,89,98,35,79,96,42,57,74,40,42,50,21,68,67,18,111,107,38,126,127,55,
110,114,52,72,74,29,44,45,12,54,52,11,80,75,19,94,88,24,96,90,25,94,89,24,87,84,22,84,79,22,73,68,18,58,54,14,47,43,11,45,38,10,52,37,12,61,37,15,
70,37,18,73,33,19,77,32,20,77,34,20,75,34,19,71,36,18,67,39,17,62,41,15,55,41,14,47,38,11,39,33,9,32,28,7,27,24,6,23,21,5,27,22,6,33,24,8,
33,25,8,34,27,8,35,28,8,33,27,7,32,26,7,32,26,8,34,27,8,34,27,8,35,27,8,36,27,8,37,27,9,36,27,8,36,26,8,36,26,8,27,17,6,12,6,3,
1,0,0,0,0,1,0,0,0,0,1,2,4,1,5,3,1,4,1,1,3,0,0,2,1,1,2,7,2,7,13,4,13,15,5,16,12,5,14,11,3,12,15,4,15,23,6,22,
33,8,31,40,11,38,44,12,41,44,12,41,54,15,49,65,19,57,66,20,61,68,21,63,70,22,66,77,24,71,85,28,79,86,29,81,83,28,78,76,24,71,66,21,64,61,18,58,
64,19,59,77,23,70,87,26,78,86,26,78,76,23,70,70,20,62,74,21,64,89,26,75,103,31,87,108,33,94,105,33,91,102,31,85,102,30,82,100,30,81,100,30,85,105,31,92,
114,34,94,114,34,84,100,29,65,86,24,57,81,22,60,77,21,61,89,25,69,116,34,81,134,40,88,127,38,85,109,32,77,107,31,78,126,36,90,137,40,97,144,43,105,151,47,115,
153,48,118,147,45,107,125,38,81,105,29,58,101,29,60,113,60,88,127,105,110,143,131,129,127,117,140,64,64,108,23,64,84,64,119,124,133,160,174,165,160,189,149,123,173,91,103,146,
45,127,138,58,154,142,68,137,133,89,132,146,89,149,165,51,132,137,23,69,56,37,38,24,47,69,86,33,87,124,17,65,79,4,21,18,4,4,20,12,16,56,6,9,29,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,13,28,12,
44,85,40,79,137,60,96,165,76,82,135,60,53,69,23,63,87,29,81,141,60,83,158,78,57,123,63,37,71,35,83,112,37,124,167,55,99,159,69,75,141,62,94,145,45,125,165,42,
119,163,47,91,148,67,99,157,100,131,179,117,126,178,101,95,139,56,85,103,23,101,110,39,125,144,90,139,162,128,161,175,143,176,184,147,170,182,131,156,175,126,147,170,136,124,163,141,
99,153,134,116,157,133,148,163,122,153,160,92,148,158,93,142,163,125,141,162,130,140,154,108,134,141,79,124,127,57,109,114,45,91,103,41,75,92,43,63,75,38,59,62,20,83,81,21,
118,116,42,129,129,56,111,112,51,75,76,31,53,54,16,59,56,13,78,73,19,93,88,24,100,96,26,102,98,27,100,95,26,92,87,24,79,74,20,65,60,16,52,48,12,46,40,11,
41,32,9,34,20,8,50,26,12,73,43,18,82,49,22,82,43,22,79,37,21,76,34,20,73,34,19,70,36,18,66,38,17,63,40,15,58,42,15,51,40,13,49,37,12,47,34,11,
44,31,10,42,29,10,40,28,9,39,27,9,38,25,9,37,25,8,37,24,8,35,24,8,33,24,8,32,22,8,28,18,6,28,18,7,29,18,7,27,18,6,23,13,5,16,6,4,
11,3,2,13,3,3,15,3,4,16,3,4,16,3,4,11,2,4,5,1,3,6,1,4,9,2,7,11,2,9,15,4,11,18,4,14,21,5,18,26,6,22,37,9,32,52,14,48,
57,17,55,57,17,55,61,19,59,64,20,61,64,20,61,65,20,61,71,22,66,75,24,70,75,24,69,71,23,67,64,21,61,59,19,58,59,18,57,59,18,56,64,18,60,70,20,64,
76,22,68,81,23,72,75,22,67,68,19,60,68,19,58,81,22,66,100,30,83,109,34,95,106,33,93,102,31,86,100,30,81,101,30,81,100,29,84,103,30,89,112,34,95,116,35,88,
107,32,70,90,26,58,72,20,55,65,17,56,79,21,62,103,29,75,129,39,88,135,41,89,118,35,81,105,30,75,114,33,82,131,38,94,140,41,100,147,44,109,154,48,120,154,49,119,
143,43,102,120,36,74,102,27,57,100,29,60,110,57,88,116,82,106,123,107,125,105,102,135,48,58,99,18,55,72,66,102,108,136,152,168,162,158,189,138,122,172,80,104,147,40,125,137,
36,140,141,50,124,133,86,130,150,90,155,172,56,150,157,17,74,70,18,23,16,41,62,80,36,87,130,26,78,113,7,28,35,4,4,20,10,12,47,7,8,30,0,0,2,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,
12,21,8,45,82,33,81,140,61,100,168,79,81,132,62,50,65,23,60,84,28,80,140,60,80,154,73,53,104,48,30,48,17,74,90,21,109,147,48,91,152,66,73,140,62,90,142,45,
122,160,40,122,165,45,93,149,64,95,151,93,126,176,117,130,181,110,105,155,77,83,108,28,93,103,30,122,135,86,145,163,143,155,169,158,172,179,154,174,183,144,166,180,142,156,176,147,
138,169,145,106,156,135,103,153,131,129,153,107,147,153,74,150,156,76,150,162,106,147,163,126,141,158,119,136,148,95,130,135,70,120,123,55,109,115,46,102,112,47,79,88,31,56,58,12,
60,58,13,88,86,25,122,121,45,132,132,58,111,112,50,78,80,32,55,56,18,56,54,13,77,73,19,91,85,23,100,94,26,106,102,29,104,100,28,97,93,26,87,81,22,75,70,19,
56,52,13,32,30,8,28,25,6,47,37,11,61,46,15,69,50,17,76,52,20,80,51,21,81,47,21,78,38,21,74,28,19,74,27,19,72,29,18,71,32,18,63,33,16,51,33,12,
46,35,10,46,37,11,47,38,11,39,31,10,35,27,8,37,29,9,38,28,9,39,28,9,40,28,9,34,22,8,20,9,4,18,3,7,30,7,18,30,8,19,31,8,20,30,8,19,
30,7,19,31,8,20,31,8,20,30,7,20,29,7,20,23,6,20,22,6,20,27,8,25,33,9,31,34,10,32,34,10,33,36,10,35,36,10,35,35,11,36,38,12,39,49,16,48,
54,18,52,57,18,55,60,19,56,58,18,55,52,16,51,50,16,48,53,16,51,51,15,49,40,13,41,31,10,32,31,9,31,42,11,38,53,15,48,68,19,60,75,21,67,71,20,64,
68,19,60,66,19,57,72,19,59,82,23,67,94,27,77,103,31,87,108,33,94,107,33,93,103,31,85,100,30,81,100,30,84,102,30,89,110,33,94,116,35,91,112,34,76,98,29,62,
78,22,56,64,17,55,65,17,57,91,25,69,120,35,84,137,41,90,126,39,85,98,29,73,102,29,77,127,36,93,137,40,97,142,43,103,145,44,111,147,46,118,146,46,113,133,40,91,
101,29,61,92,23,51,107,36,72,113,63,93,116,80,105,116,91,124,89,84,128,37,53,90,20,56,70,75,105,111,138,142,163,157,136,178,130,107,162,77,103,143,36,127,135,32,137,137,
69,129,150,101,135,163,98,157,177,61,155,166,26,87,98,6,15,28,17,46,75,32,86,128,27,77,114,10,31,46,3,2,16,11,13,50,9,10,40,1,1,4,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
3,3,0,16,26,9,47,81,32,82,129,52,95,152,71,67,114,55,45,60,20,57,83,29,79,139,58,80,153,69,51,103,47,18,33,12,61,72,16,106,140,44,88,142,62,59,125,60,
78,132,45,121,161,40,124,166,43,98,151,58,93,152,93,124,176,129,141,194,145,114,169,102,85,118,38,88,98,25,118,132,85,134,156,147,145,160,159,164,172,156,177,184,154,171,184,151,
160,178,148,148,173,147,119,161,140,97,149,129,114,150,114,144,154,87,153,157,70,152,158,84,149,162,115,146,163,126,140,154,106,133,141,73,131,133,62,126,127,53,116,120,42,97,101,27,
73,76,17,56,57,12,67,66,15,100,98,27,125,123,43,132,131,55,117,118,56,85,86,31,61,60,14,56,53,13,71,65,18,93,87,24,105,100,28,107,104,29,106,101,29,102,97,27,
93,87,25,81,76,21,70,65,17,60,56,15,54,49,13,51,45,12,53,45,12,56,45,14,61,45,14,66,45,17,70,43,18,74,41,19,75,37,19,75,33,19,69,29,18,59,24,14,
50,21,12,49,21,11,46,21,11,37,15,9,20,10,5,9,8,2,9,9,2,11,11,3,13,12,3,10,9,2,4,4,1,1,0,1,9,2,9,12,4,12,12,4,12,10,3,13,
10,4,12,10,4,12,9,3,11,7,4,10,6,3,9,5,3,8,11,4,12,27,8,28,35,11,36,32,11,35,30,11,32,26,9,29,22,8,25,16,7,21,14,6,17,23,7,22,
30,9,29,42,13,39,40,12,38,31,10,31,22,7,24,14,4,17,13,4,14,22,6,20,35,10,31,44,12,39,51,13,44,55,14,47,57,15,50,63,17,56,64,18,56,69,19,57,
76,21,61,84,24,67,93,27,75,101,31,86,103,30,89,101,31,86,100,30,82,101,30,83,102,31,85,102,30,88,104,30,91,107,32,89,109,33,77,100,29,64,83,23,56,68,18,55,
62,17,56,74,20,63,104,29,77,130,39,88,134,40,88,109,33,77,87,24,69,101,27,81,131,37,99,142,42,104,144,44,106,145,44,115,137,42,114,125,38,100,108,32,72,82,22,47,
67,17,42,89,36,66,113,71,99,117,84,111,112,84,124,77,68,119,29,48,82,28,66,74,85,103,113,143,140,165,154,129,177,118,85,149,65,82,125,33,124,128,35,138,137,68,126,147,
116,141,174,106,159,186,62,151,165,31,83,102,18,23,59,22,49,88,30,85,126,27,78,115,11,34,48,2,0,6,12,20,54,10,21,46,2,3,7,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,4,5,1,18,23,6,46,57,14,75,107,38,83,140,66,63,110,51,43,61,21,55,78,25,78,139,59,80,152,69,49,101,47,12,28,13,53,62,14,87,112,36,70,117,52,
37,100,49,67,121,41,114,156,41,122,161,40,99,152,56,91,157,102,117,180,147,141,193,153,124,178,116,91,132,51,85,100,24,110,120,77,139,155,146,146,161,165,156,165,157,172,178,154,
174,184,151,165,179,147,155,175,147,133,166,143,107,155,135,114,153,125,138,157,105,146,153,76,147,152,70,151,160,94,150,164,113,141,157,99,136,147,81,133,138,67,132,134,64,127,128,55,
114,117,39,96,100,25,74,77,17,62,63,14,71,70,16,94,92,25,117,115,39,124,121,37,116,114,31,88,85,23,63,60,15,59,54,14,69,65,17,86,81,22,97,92,25,106,103,29,
110,106,31,110,105,31,105,99,29,93,87,25,80,73,20,69,63,17,63,57,15,56,51,14,50,45,12,43,38,10,44,37,10,50,40,12,55,41,13,61,43,15,64,42,16,64,41,16,
64,39,15,64,37,16,62,32,15,58,30,14,42,23,10,21,16,4,14,13,3,11,11,3,9,9,2,9,9,2,4,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,9,3,9,9,3,10,7,3,9,4,2,6,2,1,3,0,1,2,0,0,1,0,0,0,0,0,0,
4,1,4,9,3,8,7,2,8,2,1,4,0,0,0,0,0,0,4,1,3,28,7,22,53,13,45,59,15,51,55,14,48,53,14,45,59,16,48,69,19,56,80,23,65,89,25,70,
92,26,74,92,26,77,91,27,80,86,25,77,79,23,71,82,24,66,88,25,71,96,28,82,105,31,92,102,30,88,88,26,71,72,20,54,73,20,51,69,18,53,61,16,54,69,18,58,
92,25,71,112,32,81,122,36,85,107,31,75,84,24,63,84,22,67,114,31,88,136,39,99,140,42,100,142,44,106,141,43,114,132,40,110,113,33,87,88,25,55,65,17,37,65,17,43,
82,35,62,106,71,94,116,85,114,106,83,128,63,56,109,18,36,64,23,60,65,90,106,119,145,134,167,149,115,171,111,77,142,51,70,109,29,115,120,36,135,138,59,118,149,99,133,170,
102,159,184,61,150,165,29,77,96,17,21,55,27,59,110,35,92,143,28,81,119,11,33,48,3,2,13,10,17,44,15,45,69,7,29,35,1,5,3,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,6,9,2,21,27,6,48,58,14,74,104,37,81,130,58,59,102,45,41,60,21,56,81,27,78,133,55,80,151,68,49,107,48,13,31,14,35,36,7,74,91,27,
60,104,46,32,98,50,56,115,46,99,137,37,114,148,36,98,148,50,88,153,96,106,165,135,135,183,150,131,183,128,99,147,71,90,110,35,122,126,81,149,158,142,144,159,162,149,160,161,
169,178,162,176,183,154,168,178,144,156,173,145,141,167,140,121,156,123,110,147,116,118,150,112,133,149,91,142,147,65,147,151,66,150,160,88,145,159,99,136,153,91,135,146,80,131,137,69,
124,127,62,119,121,48,114,117,39,97,101,27,76,80,19,62,64,14,62,61,13,79,77,19,102,98,27,115,111,31,113,110,30,96,93,25,75,72,19,61,58,15,59,56,14,71,66,18,
92,86,24,107,102,30,113,108,32,111,106,31,104,99,29,97,91,25,89,82,23,83,77,21,74,67,19,54,50,13,38,35,9,35,33,8,35,32,8,35,32,9,38,34,10,43,36,10,
45,36,11,51,40,12,55,41,13,58,43,14,52,41,12,47,40,11,46,39,11,45,38,11,43,36,10,38,32,9,20,17,5,6,5,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,14,3,11,34,9,29,47,12,40,41,11,37,38,11,33,54,14,40,76,21,58,88,25,70,88,25,72,75,21,64,
65,19,58,63,18,58,65,19,60,62,18,57,61,17,55,70,19,60,84,23,72,89,26,74,86,25,68,68,19,53,55,14,44,53,14,45,55,14,48,55,14,46,71,18,53,103,28,71,
117,33,82,103,30,75,73,20,59,66,17,52,91,24,67,128,35,91,141,41,100,139,42,98,128,38,94,121,35,95,116,35,93,102,30,72,78,22,45,60,16,35,68,17,45,89,24,53,
93,47,70,94,71,105,87,74,123,48,49,98,10,23,44,17,32,33,70,86,103,122,119,159,132,106,166,99,72,134,49,81,117,28,119,123,38,131,134,57,113,148,71,120,168,70,144,176,
49,135,153,25,70,89,18,22,57,29,61,113,36,92,145,29,78,118,10,33,46,2,2,11,12,20,54,18,50,81,13,51,58,5,24,21,1,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,0,7,10,2,24,29,7,49,59,15,73,101,33,79,121,49,61,103,44,43,62,23,56,77,24,75,122,45,72,126,46,45,84,30,8,14,4,25,24,4,
67,80,22,63,104,44,34,93,49,39,79,32,80,100,24,105,130,29,97,140,40,83,143,77,94,153,122,127,176,147,139,188,142,110,164,94,102,131,48,121,126,66,144,150,121,144,159,157,
136,157,165,156,169,164,173,179,156,169,176,145,156,168,136,144,161,124,127,152,108,112,146,109,108,142,110,116,136,93,129,134,62,142,144,53,147,153,67,145,158,89,140,158,98,133,151,90,
124,136,74,117,122,61,119,121,59,119,120,51,112,114,39,99,103,28,82,85,19,65,68,15,59,59,14,69,68,16,88,85,22,107,103,28,116,112,31,108,105,28,87,84,22,63,61,15,
54,51,13,58,55,14,73,69,18,89,85,24,103,98,28,107,102,29,105,98,28,103,97,28,99,92,26,91,85,24,82,75,21,70,63,17,58,53,14,52,46,12,46,41,11,38,35,9,
25,23,6,20,19,4,22,21,5,25,23,6,30,27,7,32,28,8,34,29,8,37,31,8,40,34,9,37,31,8,20,17,5,4,4,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,1,19,5,15,19,5,17,21,5,18,34,9,28,52,14,44,68,18,56,72,20,60,58,16,52,44,12,41,24,6,25,
24,7,24,43,11,38,59,15,51,63,17,54,66,18,54,71,20,55,71,20,53,62,17,47,55,14,43,52,13,44,55,14,48,55,14,47,61,16,45,77,20,44,91,24,48,91,25,57,
73,19,54,61,16,49,77,20,58,117,32,84,137,40,97,142,42,99,136,41,96,120,35,89,100,28,76,93,26,63,84,23,48,69,18,37,61,15,38,74,18,46,88,23,50,84,22,50,
66,40,85,46,48,102,25,41,77,9,23,34,27,25,28,73,68,95,107,94,147,108,91,153,75,66,122,40,78,109,30,117,127,42,128,144,61,113,152,71,124,171,64,140,175,46,121,148,
25,59,83,16,21,56,28,63,115,36,92,145,26,75,112,10,31,44,3,2,15,15,23,63,23,57,98,16,53,68,6,25,24,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,1,0,8,11,3,26,33,8,51,60,15,71,92,27,70,106,40,55,97,42,43,68,26,50,63,16,65,94,25,63,104,29,38,66,16,10,15,3,
16,14,2,66,75,20,72,104,38,38,79,38,28,58,25,56,66,17,89,103,22,96,133,33,84,141,64,86,148,109,115,167,141,137,186,150,122,178,125,96,136,65,106,114,47,135,136,93,
136,153,145,131,158,168,141,164,168,163,173,161,170,174,149,162,168,137,148,160,123,136,155,113,122,147,106,103,128,93,105,125,89,119,130,77,139,142,59,146,148,53,144,152,70,144,158,93,
138,156,98,127,143,88,118,127,67,109,112,45,103,105,47,109,111,55,112,113,45,104,108,32,88,92,22,71,74,17,61,62,15,62,62,14,74,72,18,93,90,23,100,97,26,103,101,27,
96,94,25,78,77,19,55,54,13,44,42,10,51,47,12,64,60,16,78,73,20,91,85,24,101,94,27,105,98,28,102,96,27,95,89,25,86,79,21,80,73,20,77,71,19,70,63,17,
52,47,12,36,32,8,32,29,8,27,24,6,24,22,5,22,20,5,20,19,4,19,18,4,15,14,3,9,8,2,4,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,2,11,2,8,23,5,17,41,10,34,50,13,44,40,11,37,26,7,27,16,5,17,18,4,17,31,8,25,
47,11,39,60,16,50,66,17,53,64,17,48,57,15,41,46,12,33,40,10,31,51,13,42,57,14,49,53,13,46,45,12,39,54,13,36,82,21,41,82,21,41,59,15,34,52,13,38,
74,19,56,107,29,76,131,38,92,141,43,100,140,43,100,127,38,92,102,30,79,79,23,60,77,21,45,74,20,36,61,16,33,51,13,37,60,15,40,74,19,39,74,20,56,52,25,81,
26,30,85,9,29,56,10,25,29,41,36,43,83,69,104,108,93,152,99,84,148,60,66,115,31,83,108,31,113,131,46,109,142,65,110,155,70,126,172,66,142,178,52,123,159,34,57,102,
22,23,66,30,70,122,38,95,152,28,78,116,9,27,40,4,5,17,18,39,75,24,61,103,17,56,74,5,22,21,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,9,12,3,28,34,9,51,58,15,56,66,20,55,80,32,52,90,40,43,65,24,47,61,17,60,85,20,56,94,22,38,68,16,
12,21,4,14,13,2,52,58,13,79,105,35,47,89,39,15,49,24,30,37,12,74,81,17,95,124,27,83,137,49,79,141,90,106,164,142,131,188,169,123,182,147,91,139,85,89,108,43,
123,131,85,142,161,147,131,162,169,133,162,171,149,167,165,169,175,158,170,174,147,158,166,132,144,158,121,131,149,105,114,135,96,100,123,91,111,125,81,125,128,51,130,131,33,141,144,49,
148,153,72,145,155,88,132,148,78,117,129,43,106,111,30,100,102,36,101,102,48,105,108,50,106,108,45,98,101,33,88,92,23,78,82,20,66,69,16,60,61,15,60,59,14,70,68,17,
85,83,22,98,95,25,93,90,23,81,78,20,65,63,16,51,48,12,42,38,10,37,34,9,45,41,10,59,55,14,71,67,18,76,71,19,76,72,19,80,75,20,84,80,21,86,82,22,
83,78,21,76,71,19,67,60,16,57,49,13,52,43,12,51,42,12,49,42,12,44,37,11,31,25,7,5,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,3,1,2,9,2,6,15,4,12,21,5,16,31,7,24,31,7,25,27,6,23,22,6,20,17,4,16,20,5,17,30,7,25,44,11,35,53,13,44,60,15,50,
62,16,49,63,17,44,52,13,37,39,10,28,26,7,21,20,5,17,32,8,25,45,11,37,44,11,38,48,12,33,55,14,30,65,16,32,64,16,35,51,13,36,64,17,50,104,29,75,
128,36,93,130,38,95,124,36,93,122,36,91,111,32,83,75,21,63,36,11,36,39,10,21,57,14,25,57,14,37,42,10,35,26,7,25,29,8,25,41,16,54,40,28,87,19,33,77,
7,27,44,20,28,31,54,52,71,94,85,131,109,94,157,88,74,137,52,68,111,29,89,109,31,107,126,51,108,145,67,112,161,68,127,171,63,142,175,62,117,163,48,57,121,36,36,98,
33,72,127,39,94,154,32,82,131,12,30,53,6,9,23,23,57,93,30,83,123,18,62,81,5,22,21,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,9,12,3,30,36,10,48,52,15,51,55,16,54,75,29,53,90,40,45,72,30,45,59,17,52,78,20,54,91,21,
38,72,16,15,28,7,7,5,0,38,41,9,72,94,29,54,97,40,18,57,29,18,30,12,59,61,12,85,105,22,83,125,34,80,145,86,93,166,145,114,179,168,123,185,162,96,155,115,
87,118,74,118,129,96,143,157,141,144,169,165,131,163,171,140,165,169,156,170,162,168,173,151,161,166,133,147,158,123,136,153,116,122,141,104,105,121,80,88,94,40,95,94,22,117,116,27,
129,129,33,133,135,45,134,140,49,130,141,41,126,138,37,116,128,33,107,115,29,102,106,33,97,100,42,84,86,35,82,82,22,89,88,21,91,93,23,87,91,22,77,82,20,63,65,15,
50,49,11,45,44,11,57,54,14,73,70,18,79,77,19,74,73,18,57,54,13,35,34,8,16,15,4,9,9,2,12,12,3,18,17,4,25,23,6,34,33,8,45,42,10,53,50,13,
60,57,14,57,54,14,48,47,11,40,36,9,34,29,7,37,31,8,40,34,9,40,34,9,28,24,7,8,7,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
13,3,10,21,5,18,27,7,23,32,8,27,29,7,25,23,6,21,20,5,18,14,3,13,11,3,10,12,3,10,24,6,19,47,12,39,56,15,47,52,13,44,41,11,36,35,9,30,
34,9,25,33,8,22,24,5,18,21,5,18,23,6,18,25,6,20,31,8,23,47,12,28,57,14,32,60,15,32,57,14,33,50,13,35,60,16,49,85,23,70,109,31,84,120,35,89,
121,34,91,104,29,86,87,24,75,73,20,63,43,12,42,9,4,15,1,0,2,21,4,10,37,9,27,33,8,29,16,5,20,7,6,28,14,18,61,21,29,80,11,31,62,9,28,35,
32,35,38,66,57,80,82,84,137,73,84,147,62,61,117,37,58,93,25,88,108,36,107,132,58,107,149,68,114,163,67,135,175,63,139,173,69,110,163,70,54,138,56,48,125,39,81,140,
40,100,159,34,79,135,17,32,69,8,14,37,23,64,95,34,97,140,24,72,101,7,26,35,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,9,13,3,31,38,10,48,53,14,51,56,16,54,72,28,53,89,38,43,66,25,39,50,12,51,73,18,
61,96,24,44,79,19,22,41,9,5,7,1,28,29,6,71,86,25,74,106,41,29,57,42,9,10,20,41,39,8,71,81,15,83,116,27,80,137,62,85,160,125,104,173,160,116,180,167,
111,168,150,100,136,122,104,112,106,131,136,124,145,164,154,138,169,173,127,162,173,131,155,159,143,156,140,149,157,125,150,159,125,144,156,123,134,150,115,117,128,82,92,91,36,83,80,19,
90,89,19,97,97,22,102,103,24,112,114,28,125,130,34,123,133,36,117,132,35,116,127,32,109,117,29,93,99,25,76,77,19,66,65,15,73,71,17,81,81,20,90,91,23,88,87,22,
70,66,17,40,37,9,21,21,4,22,22,5,30,29,7,29,29,7,34,34,8,40,40,9,39,39,9,37,37,8,21,21,5,0,0,0,0,0,0,0,0,0,3,3,1,6,6,1,
10,9,2,7,6,1,3,3,0,0,0,0,1,1,0,2,2,0,4,4,1,6,5,1,4,4,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,
12,3,10,16,4,15,16,4,15,13,3,11,9,2,8,7,2,6,7,2,6,10,2,8,16,4,14,22,5,18,31,8,25,36,9,31,29,7,25,21,5,18,16,4,14,17,4,13,
19,5,15,22,5,17,24,6,20,26,6,21,26,6,21,25,6,20,43,11,25,63,16,33,57,15,36,53,14,39,63,17,52,84,24,70,98,27,82,99,27,84,96,26,81,98,27,81,
84,24,75,63,17,59,40,12,40,14,5,18,0,1,4,2,1,2,22,5,16,34,8,28,22,5,20,6,4,18,7,11,38,16,22,70,15,30,72,9,26,43,19,27,30,48,42,52,
74,62,94,70,71,123,39,52,107,24,48,94,21,59,86,24,91,113,45,108,139,75,116,166,76,119,170,65,130,170,62,132,170,68,99,159,76,51,143,66,58,145,44,90,153,39,96,154,
32,74,127,14,26,63,8,18,39,24,68,103,33,96,139,25,74,109,14,33,63,3,3,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,10,13,3,30,36,10,47,53,14,51,55,15,53,65,23,49,62,21,41,47,13,42,49,13,
75,89,23,76,107,26,47,83,20,20,37,9,0,1,0,17,16,2,55,62,16,74,91,50,43,54,61,12,13,32,27,25,10,60,62,15,88,105,36,80,126,48,81,149,93,97,167,146,
118,178,175,128,179,176,107,141,150,89,97,116,108,110,116,141,160,151,140,173,170,110,155,166,96,140,156,111,138,142,137,149,135,150,155,131,145,154,126,141,154,124,128,140,102,104,108,60,
82,80,29,70,66,16,70,69,14,79,79,18,93,93,22,102,103,25,104,108,27,111,116,30,117,126,32,111,124,32,96,107,27,74,80,19,62,66,16,58,59,13,62,61,14,64,62,14,
65,61,16,58,52,14,47,41,11,38,33,9,32,27,7,13,12,3,1,1,0,5,5,1,13,13,3,20,20,4,18,18,4,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,4,1,4,10,3,8,12,3,9,14,4,11,16,4,13,17,4,13,18,5,15,18,4,14,14,3,11,12,3,9,14,4,10,17,4,12,19,4,13,20,5,13,
22,6,16,24,6,19,25,6,20,25,7,20,26,7,22,28,8,24,39,10,29,52,14,39,67,18,55,86,24,71,102,28,84,99,27,84,84,22,72,69,18,61,71,19,64,64,17,59,
41,11,41,17,5,20,2,1,6,0,0,0,4,1,3,24,6,19,29,7,26,13,5,20,6,7,27,9,12,44,11,15,49,7,10,33,5,18,24,20,32,34,57,50,66,73,65,106,
56,58,114,28,35,89,14,32,69,18,66,87,31,102,126,57,110,149,86,117,170,92,125,177,71,127,170,64,118,164,74,83,154,74,50,146,64,71,156,47,97,163,39,96,155,30,70,122,
10,19,45,10,23,46,27,74,113,32,98,135,25,71,105,15,32,65,4,4,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,10,13,3,28,35,9,46,52,14,51,55,16,52,56,17,50,54,16,43,49,14,
50,56,14,74,86,22,66,88,21,30,47,11,4,8,2,0,0,0,6,5,1,42,45,13,73,82,43,51,61,61,15,17,40,16,10,29,64,47,52,71,69,53,66,97,37,77,134,65,
95,160,128,112,172,173,122,174,183,117,154,171,100,108,142,94,89,117,114,124,129,117,151,152,104,154,163,94,145,163,96,138,156,110,136,147,120,135,134,131,139,124,132,136,109,123,125,89,
104,106,74,73,74,52,59,57,30,59,54,14,66,64,13,75,74,16,84,83,20,93,92,22,100,99,25,100,101,25,96,100,25,90,97,24,84,93,23,75,85,20,53,61,15,28,34,7,
24,25,6,38,38,9,45,43,10,52,49,12,48,44,11,24,22,5,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,
5,1,3,9,1,6,13,3,10,15,4,12,15,4,12,13,3,10,11,3,9,8,2,6,5,1,4,3,1,2,4,1,2,9,2,4,16,4,10,21,5,14,21,5,15,22,5,16,
23,6,19,26,7,21,29,8,25,32,9,28,37,10,30,42,11,32,55,15,41,70,19,56,96,26,80,98,27,83,83,22,72,61,15,54,35,10,32,26,6,23,34,8,29,23,6,24,
7,2,9,0,0,0,0,0,0,0,0,0,2,1,2,9,3,8,5,3,12,6,10,35,11,15,50,7,8,29,1,1,6,1,8,5,8,33,35,32,52,77,60,67,114,41,47,103,
18,27,75,11,27,60,18,62,87,35,88,122,69,108,156,90,116,169,88,124,172,71,125,166,66,110,162,75,68,149,74,48,144,61,81,161,50,99,165,39,96,151,30,66,124,17,25,75,
15,33,60,28,82,116,32,95,132,26,68,109,18,34,77,5,4,21,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,1,2,4,1,10,13,3,26,33,8,45,51,14,52,55,16,53,56,17,51,55,16,
43,48,14,39,45,12,56,63,15,59,67,16,24,28,7,1,1,1,0,0,0,1,0,0,26,27,4,61,63,25,53,59,56,32,34,57,22,12,52,29,8,54,46,31,53,60,74,40,
66,109,43,67,127,87,88,150,145,117,168,181,133,164,184,121,131,162,99,88,132,92,82,125,99,113,140,107,146,154,101,153,163,92,140,161,85,121,147,95,115,135,107,115,123,117,116,106,
112,105,88,91,88,79,64,67,70,52,57,54,56,57,37,57,53,19,54,51,11,62,61,13,76,76,18,87,86,21,86,84,20,85,82,20,86,84,21,87,88,22,72,80,20,45,59,14,
29,45,11,22,35,8,19,26,6,19,19,4,25,25,5,28,29,7,21,21,5,23,23,5,16,16,4,8,8,2,6,6,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,
5,2,4,8,2,6,7,1,5,5,1,4,4,1,3,3,1,3,3,1,2,6,2,5,9,2,7,12,3,10,15,4,11,16,4,11,20,5,16,24,6,20,27,7,23,30,8,26,
33,9,29,36,10,30,41,11,32,48,13,36,57,15,42,61,16,45,58,16,45,56,15,47,73,19,61,60,15,52,35,9,32,14,3,14,9,2,8,11,2,9,12,3,11,10,3,10,
5,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,6,5,6,22,3,4,14,0,0,1,1,6,3,7,32,35,17,51,75,27,50,97,24,35,89,14,17,62,
10,22,55,19,54,81,42,70,116,76,90,151,93,118,171,82,127,173,64,123,164,67,101,158,76,57,145,70,56,149,59,89,162,61,106,172,61,97,165,41,61,126,19,25,80,21,48,91,
30,89,124,31,93,127,29,69,118,22,34,92,5,4,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,3,1,2,4,1,4,5,1,9,12,3,25,31,8,44,50,14,53,56,17,53,56,17,
51,55,17,43,49,14,38,45,12,49,55,13,51,55,13,25,27,6,3,3,1,0,0,0,0,0,0,11,10,1,45,45,11,62,63,36,41,46,58,24,21,53,24,7,52,38,17,56,
50,52,55,50,73,40,49,94,48,72,130,109,105,157,166,128,165,183,136,154,179,127,123,165,108,85,146,95,82,136,101,118,141,104,145,153,91,137,153,77,117,145,81,109,141,89,110,135,
99,107,123,90,86,103,64,53,77,39,33,66,43,45,69,52,56,64,31,39,36,9,15,11,19,20,5,44,44,9,66,66,15,79,79,19,84,83,20,86,83,20,77,74,18,67,65,16,
63,69,17,55,66,16,36,41,10,16,15,3,11,10,2,8,8,2,10,11,3,18,18,4,21,21,5,23,23,5,30,30,7,28,28,6,23,23,6,20,20,5,14,14,3,9,9,2,
6,6,1,4,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,1,2,
4,1,3,5,1,3,5,2,4,8,2,6,12,3,9,16,4,13,20,5,16,23,6,19,26,7,21,27,7,23,28,8,23,29,8,25,32,9,27,34,10,29,36,10,30,36,10,29,
40,11,30,53,14,39,60,16,45,59,16,45,50,14,41,44,12,37,37,10,32,34,9,28,33,8,27,21,5,18,11,3,10,11,2,9,13,3,11,12,3,11,8,2,7,4,1,3,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,13,2,2,10,0,0,0,0,0,0,3,6,12,11,29,50,17,35,73,17,25,76,10,13,52,7,7,35,
17,23,56,48,52,100,84,90,149,90,118,171,79,127,175,70,125,175,72,89,160,71,51,144,66,65,153,57,95,165,63,105,171,71,96,168,55,57,133,26,29,89,23,58,99,31,93,130,
30,88,125,26,59,112,23,31,94,9,9,37,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,3,5,1,4,6,1,9,12,3,22,28,7,42,48,13,53,56,17,
53,56,17,52,56,17,45,51,14,36,43,11,37,44,11,54,56,13,44,44,10,11,10,3,0,0,0,0,0,0,0,0,0,26,27,5,58,58,24,54,57,54,33,36,65,24,19,64,
39,37,81,53,66,97,55,73,72,60,80,58,72,108,95,87,141,141,113,161,172,132,167,185,139,153,182,126,116,165,109,85,147,96,85,137,98,114,142,97,135,149,88,132,150,77,118,147,
77,110,142,71,97,133,52,71,110,27,33,71,23,20,54,30,24,58,14,21,42,3,13,20,0,0,1,0,0,0,9,9,2,26,26,6,48,48,11,65,65,15,63,63,15,57,56,13,
63,61,14,68,66,16,66,60,15,58,51,13,48,42,11,38,33,9,26,22,6,17,15,3,9,9,2,6,6,1,7,7,1,13,13,3,17,17,4,23,23,5,26,26,6,29,29,6,
28,28,6,26,26,6,8,8,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
2,1,2,4,2,3,5,2,4,4,1,3,5,1,4,5,2,4,5,2,4,5,2,4,6,2,5,7,2,5,8,2,6,8,2,7,10,2,8,11,3,8,11,3,9,13,3,10,
15,4,12,16,4,13,17,5,13,18,5,14,24,6,19,28,8,24,30,8,25,32,9,27,32,9,27,33,9,27,33,9,26,34,9,27,36,10,27,36,10,26,36,10,25,37,11,25,
44,12,32,48,13,37,48,13,39,39,11,32,36,9,31,34,8,29,27,7,23,22,6,18,18,4,15,18,4,16,19,5,16,17,4,15,14,4,11,9,2,7,3,1,2,0,0,0,
0,0,0,0,0,0,0,0,0,2,1,2,3,2,8,6,7,28,7,9,32,1,1,6,0,0,2,5,6,21,11,14,49,16,24,68,17,22,73,16,19,72,10,9,43,24,11,50,
59,45,100,84,94,146,83,126,169,73,130,175,72,115,176,78,73,163,73,42,148,57,55,147,56,90,162,66,103,172,70,85,160,48,47,120,26,34,89,26,68,107,32,97,131,32,85,131,
32,62,128,24,31,98,9,8,38,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,1,4,5,1,8,11,3,22,28,7,42,48,13,
53,56,17,54,56,17,53,56,17,47,53,15,38,45,12,39,44,11,49,51,13,49,48,11,21,20,5,1,1,0,0,0,0,0,0,2,11,11,0,39,39,18,64,69,70,51,60,95,
34,54,103,40,66,110,54,76,118,67,78,111,75,79,96,75,90,88,78,115,105,86,139,143,107,155,174,129,161,184,125,139,181,110,101,168,101,76,150,96,82,139,99,111,140,98,136,149,
92,136,151,79,123,149,52,101,129,29,77,101,16,48,72,14,33,56,11,18,40,3,7,13,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,10,10,2,11,11,3,11,11,3,
23,23,5,40,41,9,53,53,12,61,60,14,66,64,15,63,58,14,53,46,12,48,42,11,42,37,10,20,18,5,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,1,
7,7,1,9,9,2,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,
5,1,4,12,3,10,16,4,12,15,4,12,15,4,12,15,4,12,16,4,12,16,4,13,16,4,13,16,4,12,17,4,13,17,4,13,16,4,13,17,4,13,17,4,13,19,5,15,
22,6,18,24,6,19,24,6,19,24,6,19,25,6,20,27,6,21,27,7,20,29,8,20,31,9,20,32,9,20,33,9,19,35,10,22,37,11,25,37,11,28,38,11,29,38,11,30,
37,10,31,36,10,31,34,9,29,31,8,26,27,7,22,22,5,18,19,5,16,20,5,17,25,6,20,26,7,21,25,6,20,23,6,18,20,5,15,14,3,11,5,2,4,0,0,0,
0,0,0,3,1,1,10,4,13,15,9,32,11,8,30,5,5,20,2,1,8,4,4,18,9,11,40,14,18,59,17,20,70,16,19,71,14,15,60,17,11,55,40,20,74,74,66,124,
86,110,158,77,128,171,72,129,179,80,100,173,79,60,160,69,43,155,53,45,145,51,61,146,68,86,167,72,77,163,56,44,126,29,44,94,26,79,115,32,95,133,32,82,132,36,63,144,
27,34,109,10,9,39,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,4,6,1,12,16,4,24,31,8,
40,46,13,51,55,16,55,57,17,54,56,17,51,55,16,42,48,14,33,39,10,42,45,11,53,53,12,31,31,7,3,3,1,0,0,5,3,3,24,5,6,14,29,31,35,51,57,81,
41,51,105,32,48,116,34,59,116,47,71,117,62,77,121,73,79,112,75,77,93,60,66,83,55,79,103,67,108,134,84,130,160,101,135,175,110,127,178,110,103,170,102,79,153,97,79,138,
98,106,138,99,132,145,89,137,149,69,120,135,45,85,103,26,63,80,15,48,65,14,42,60,11,26,47,5,12,25,2,2,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,2,2,0,7,7,1,16,16,4,32,32,7,29,29,6,15,15,3,16,16,4,26,23,6,18,16,4,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,
6,2,4,11,3,9,14,3,11,14,4,10,13,4,10,13,3,10,13,3,10,12,3,10,11,3,9,11,3,8,10,3,8,11,3,9,16,4,12,18,4,13,17,4,12,20,5,13,
22,5,15,23,5,14,21,5,13,21,5,12,22,6,12,24,6,12,27,7,15,31,8,18,35,9,21,36,10,25,37,10,27,36,10,28,36,10,29,37,10,31,37,10,31,34,9,29,
30,8,26,26,7,22,22,5,19,20,5,17,21,5,18,23,6,18,28,7,21,31,8,23,34,9,23,33,9,22,29,7,22,23,6,18,18,5,14,10,3,8,3,1,0,4,1,3,
10,4,15,18,9,32,18,10,39,12,7,28,3,2,7,0,0,0,4,5,20,12,16,54,16,22,69,16,19,68,15,17,64,15,13,55,28,12,60,56,31,91,80,77,136,83,123,168,
73,133,177,71,116,176,80,78,164,76,47,157,61,47,155,50,52,148,57,48,146,70,54,158,71,54,157,61,44,133,52,62,128,36,91,130,31,93,130,34,78,137,35,55,141,28,35,110,
13,13,55,5,4,20,1,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,6,2,14,18,5,
23,30,7,35,41,11,49,54,15,55,57,17,55,56,17,52,56,17,44,50,14,33,40,11,32,38,9,44,45,10,44,42,9,22,21,7,7,8,25,6,7,38,4,5,24,9,9,22,
13,15,50,23,29,87,30,37,112,33,50,121,41,65,125,52,79,132,64,81,125,64,59,107,53,34,85,46,29,78,62,60,110,80,100,144,90,125,164,100,136,175,109,126,176,109,89,163,
99,61,147,95,66,136,97,95,137,98,123,143,91,131,144,65,114,120,26,80,82,15,63,67,14,53,66,14,42,61,8,14,36,5,3,22,3,3,16,1,1,6,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,2,1,1,1,0,1,1,0,0,0,0,0,1,0,1,4,1,3,13,3,6,18,5,8,20,5,8,20,6,9,
21,5,10,22,6,11,25,7,14,29,7,18,32,8,21,33,9,23,35,9,26,35,10,28,36,10,29,34,9,29,34,9,28,33,9,28,32,8,27,32,8,28,29,7,25,22,6,20,
20,5,17,22,5,18,25,6,19,29,8,21,32,8,22,33,8,23,36,9,24,36,9,25,34,9,23,29,7,20,20,5,14,11,3,8,8,2,5,7,2,5,11,4,16,18,9,34,
19,12,43,12,7,27,4,2,8,0,0,0,0,0,0,0,0,0,5,6,23,11,13,46,14,16,63,11,12,50,23,14,58,47,22,80,70,46,111,77,75,135,72,102,156,68,116,171,
75,101,172,81,59,159,74,45,157,54,52,153,51,50,146,67,52,155,77,60,175,75,51,163,65,48,133,58,78,140,45,99,142,34,89,131,35,73,142,35,52,139,23,24,89,10,9,43,
9,11,42,3,4,15,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,
9,11,3,21,26,7,32,40,10,47,52,15,55,57,17,56,56,17,54,56,17,48,53,16,37,44,12,27,33,8,35,36,9,45,44,10,36,34,7,15,15,7,4,5,24,5,5,28,
6,6,27,6,6,26,14,16,57,24,29,94,34,44,120,35,57,133,50,73,138,72,84,143,74,78,135,66,57,114,61,33,98,67,33,102,74,59,121,81,94,142,87,111,153,94,104,154,
103,95,159,106,80,160,101,63,150,96,61,140,96,81,136,88,105,131,53,101,122,27,91,105,20,85,90,16,72,75,12,48,56,8,22,36,6,7,28,7,7,32,4,4,20,4,4,16,
2,2,10,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,2,5,1,4,5,1,5,7,2,5,14,3,8,19,5,10,22,6,12,25,7,16,
28,7,20,29,7,22,31,8,24,33,9,27,34,9,28,34,9,29,33,9,28,33,8,27,31,8,26,30,8,25,29,7,24,27,7,23,25,6,22,25,7,22,26,7,21,27,7,21,
30,8,22,34,9,23,36,9,24,37,9,25,37,9,26,37,9,26,35,9,26,30,8,23,20,5,14,9,2,6,6,2,4,9,3,9,15,5,21,18,9,32,18,11,42,11,7,28,
3,2,10,0,0,0,0,0,0,0,0,0,0,1,3,4,5,18,10,12,46,11,13,51,19,14,57,36,16,70,59,23,93,72,49,117,72,81,140,64,89,152,68,88,161,79,66,158,
80,46,154,77,50,164,63,52,157,65,55,154,74,59,168,83,57,178,79,54,166,71,63,152,57,90,146,39,97,137,33,84,132,36,66,144,32,42,125,18,17,70,10,8,40,6,7,30,
2,2,12,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,4,5,1,15,18,5,29,36,10,44,50,14,54,56,17,56,57,17,55,57,17,52,55,17,43,50,14,28,34,9,29,32,8,37,36,8,41,39,8,25,24,7,8,8,17,
4,5,29,5,6,29,5,5,22,7,8,34,16,21,67,29,34,99,39,45,126,63,67,151,81,86,161,82,88,152,76,81,137,68,57,116,65,36,103,68,33,105,74,54,122,78,71,132,
82,85,137,92,96,147,100,97,155,105,88,160,102,68,153,98,60,145,80,53,134,64,66,127,49,84,121,34,95,114,25,90,101,15,64,68,5,23,24,3,11,17,4,7,20,6,7,28,
5,6,26,7,8,31,6,6,25,3,3,14,2,2,8,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,4,1,3,7,1,5,9,2,6,14,3,11,17,4,13,19,5,15,24,6,19,28,7,23,
30,8,25,32,8,26,31,8,25,29,8,25,27,7,23,26,7,22,26,6,23,26,6,22,25,7,21,26,6,21,26,6,22,28,7,22,30,8,22,32,8,23,35,9,24,36,9,25,
38,10,26,38,10,28,39,10,30,38,10,29,33,9,26,26,6,20,19,4,14,13,3,8,13,3,8,12,4,13,15,7,25,19,10,38,17,11,41,9,6,24,2,2,7,0,0,0,
0,0,0,0,0,0,1,0,3,5,6,21,9,10,41,11,12,48,10,11,45,21,11,51,50,17,78,62,20,93,58,26,99,57,54,127,62,74,151,74,64,157,79,43,153,77,39,148,
71,46,150,75,52,158,81,58,167,86,60,179,89,58,185,81,53,159,74,76,150,56,98,149,35,93,134,33,77,135,40,60,151,32,40,127,16,16,64,9,8,37,5,5,21,1,1,5,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,6,8,2,22,27,7,41,48,13,53,57,17,56,58,17,55,57,17,54,57,17,48,53,16,35,41,11,23,28,7,28,28,7,43,41,9,40,38,7,
22,22,6,6,5,17,5,7,34,5,6,26,4,4,20,15,18,41,23,28,73,35,36,105,51,51,136,71,71,158,84,86,165,84,90,157,77,81,138,71,63,123,71,48,121,74,42,128,
75,45,128,78,62,131,82,82,140,90,95,151,97,97,154,102,89,157,100,60,150,95,37,142,88,39,138,76,52,131,61,64,122,43,63,101,24,53,68,11,45,45,7,36,34,4,20,19,
0,1,5,3,3,14,5,5,22,7,8,29,5,6,27,2,2,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,1,4,1,3,8,3,7,10,3,8,10,3,8,11,3,8,11,3,9,11,3,8,13,4,10,18,5,14,18,4,15,18,4,15,19,5,15,20,5,17,
20,5,16,18,5,15,18,5,14,17,4,13,17,4,12,20,5,15,26,7,19,28,8,22,31,8,22,34,8,23,35,9,24,37,11,26,39,11,27,39,11,28,39,10,29,39,10,30,
39,10,31,37,10,30,34,9,28,28,7,22,18,4,12,13,3,8,17,4,12,22,7,24,21,9,30,20,11,40,12,9,33,5,4,16,1,1,5,0,0,0,0,0,0,0,0,0,
1,1,6,4,5,20,8,9,40,12,14,55,12,13,54,16,10,43,24,9,42,39,13,58,47,17,76,45,23,91,47,33,112,61,46,140,74,43,150,78,42,151,69,43,147,65,39,134,
72,42,144,88,57,172,98,62,188,90,56,179,81,61,160,72,88,153,63,105,157,55,95,150,46,76,152,41,60,157,30,35,116,18,16,69,13,14,54,9,10,40,2,2,9,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,15,4,34,39,10,51,55,16,55,57,17,56,57,17,55,56,17,52,56,17,43,49,14,29,35,9,24,27,7,36,35,8,
47,44,10,34,33,8,13,13,6,5,5,21,9,19,47,12,29,51,19,40,55,21,36,59,22,29,73,34,37,105,52,53,143,72,74,168,83,86,169,83,90,160,80,85,145,75,70,135,
74,56,131,74,45,130,80,51,141,85,66,152,85,78,150,86,82,145,82,61,130,83,41,121,87,32,127,93,34,137,91,34,139,78,34,126,55,35,99,33,38,72,23,45,65,13,33,41,
1,5,5,0,0,0,0,0,0,0,0,2,1,1,6,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,4,1,3,10,3,8,11,3,8,10,3,8,10,3,8,9,2,7,9,2,7,9,2,6,9,2,5,8,2,5,7,2,4,8,2,5,11,3,6,
17,4,10,22,6,13,25,6,17,29,7,19,32,9,21,34,10,23,37,10,25,38,11,26,39,11,28,41,11,28,41,12,30,42,12,32,43,12,32,39,11,31,36,9,29,32,8,26,
29,7,23,26,7,19,25,6,18,25,6,18,23,7,22,23,10,31,21,10,39,16,11,42,7,5,24,2,2,9,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,5,5,21,
6,7,29,10,13,49,11,12,47,13,8,37,23,9,44,33,11,51,35,13,59,34,17,71,39,28,100,48,39,123,62,37,133,73,39,145,72,44,150,72,42,146,72,35,134,77,43,145,
88,57,176,95,62,188,98,57,174,90,77,158,74,99,150,67,104,155,68,92,164,58,73,167,41,53,151,25,27,98,16,13,64,13,14,59,8,10,40,2,2,10,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,1,19,23,6,43,48,13,54,58,17,56,57,17,56,57,17,55,57,17,50,55,16,37,43,12,23,27,7,
26,26,7,41,39,9,43,41,9,33,31,4,14,20,19,13,39,60,20,67,92,23,69,87,19,52,63,18,35,55,21,26,71,36,34,109,55,54,144,70,70,165,83,87,173,87,91,166,
83,87,151,77,78,139,82,65,141,90,57,151,90,50,152,85,50,148,79,44,138,73,38,126,72,33,112,75,33,110,81,33,116,77,30,116,63,25,106,58,23,100,53,26,97,43,25,80,
29,14,54,19,7,33,10,3,15,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,1,6,2,2,8,2,3,8,2,2,8,2,2,11,3,4,17,4,6,24,6,9,
28,7,12,34,9,19,37,10,24,40,11,27,41,12,29,42,12,31,42,12,31,43,12,32,42,12,32,41,12,32,39,10,30,36,10,28,33,8,26,29,7,22,26,6,18,27,7,18,
28,6,22,31,8,27,33,12,37,33,13,45,27,12,43,14,9,32,5,5,19,3,2,8,6,1,5,7,2,4,4,1,1,0,0,0,2,2,9,5,5,21,8,10,38,6,8,32,
3,3,14,12,7,32,22,9,42,32,11,51,33,12,56,35,17,73,36,25,93,46,35,117,59,37,131,65,36,135,67,35,131,71,41,139,80,39,145,89,45,159,94,58,178,100,61,188,
95,57,180,91,69,165,84,93,158,72,103,155,70,98,160,72,87,177,55,60,165,35,37,126,20,23,83,14,13,55,11,13,53,6,6,25,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,8,2,29,34,9,51,55,16,57,59,18,56,57,17,55,56,17,52,56,17,43,50,14,
29,36,9,21,24,6,25,25,6,40,37,9,41,39,8,33,45,23,20,54,54,18,64,81,21,73,99,21,68,84,24,54,69,39,43,82,49,37,103,50,37,120,59,54,148,73,76,176,
83,88,181,86,93,172,89,95,165,96,93,165,98,81,160,98,66,156,93,53,153,88,47,152,82,43,146,78,41,135,74,37,122,60,30,97,46,23,74,46,21,72,46,20,75,41,19,77,
34,18,72,39,19,80,37,17,73,14,7,31,2,2,9,1,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
2,1,1,6,1,2,8,2,3,8,2,3,8,2,3,8,2,3,8,2,3,10,2,4,12,3,5,15,4,7,17,4,8,19,5,10,22,6,12,25,7,15,32,8,17,35,9,20,
36,9,23,39,10,26,40,11,29,41,12,31,40,12,31,39,11,30,37,10,28,33,9,25,31,8,24,30,8,22,29,7,21,28,7,19,28,6,20,30,7,23,32,10,32,32,10,34,
32,12,44,27,12,46,22,12,42,17,7,27,11,4,15,8,2,7,10,2,6,12,3,8,14,3,9,10,3,10,6,6,20,7,8,32,7,7,32,3,5,21,5,4,18,12,5,22,
22,8,38,36,14,63,38,20,79,32,19,75,32,23,85,45,33,115,57,37,130,65,35,133,66,33,129,64,31,123,73,31,128,87,40,150,97,59,178,100,71,198,97,73,199,98,69,181,
97,81,164,87,104,163,74,106,159,72,93,170,67,79,183,51,59,165,28,31,108,16,15,66,13,15,59,10,12,47,3,4,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,16,5,39,43,13,55,58,17,57,58,17,55,57,17,54,57,17,
49,54,16,39,45,12,25,30,7,16,17,4,23,19,7,33,27,8,43,41,14,36,48,26,20,51,51,18,66,86,21,72,96,34,74,102,52,69,106,56,52,101,54,41,107,53,40,124,
56,52,147,67,66,167,79,84,180,88,96,183,97,103,181,101,103,177,102,91,169,88,75,154,82,60,146,85,51,148,85,47,148,79,42,140,71,37,125,62,34,105,48,28,82,33,20,56,
19,12,34,18,11,37,17,10,40,7,7,30,5,7,31,7,8,35,4,6,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
6,2,2,14,3,4,17,4,5,18,5,5,17,5,5,17,4,5,19,5,6,23,5,10,27,7,15,28,7,17,29,8,17,30,8,18,34,9,22,35,9,24,36,9,25,36,9,25,
34,9,24,34,8,24,34,9,23,34,9,23,33,9,21,31,8,19,26,7,18,25,7,17,28,7,21,31,8,24,33,9,28,36,11,39,32,12,41,30,14,49,27,12,45,23,9,33,
19,8,27,14,5,17,9,3,9,11,2,7,12,2,7,13,3,9,14,3,12,16,5,15,17,9,28,13,9,35,8,9,35,4,5,20,5,3,13,14,5,22,28,9,44,39,16,69,
40,20,82,32,22,83,25,22,78,30,20,77,47,27,103,60,32,127,66,34,130,64,31,125,70,32,127,87,36,143,98,53,174,101,69,194,103,73,202,110,75,198,106,81,185,93,86,167,
92,87,161,93,89,174,80,85,184,62,73,185,43,53,155,22,23,86,13,12,54,12,13,54,7,8,34,1,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,1,21,23,7,46,49,15,57,59,18,56,58,17,
55,57,17,53,56,17,47,52,15,32,38,9,16,19,7,25,16,25,56,35,52,58,42,39,50,46,24,40,54,31,26,57,50,18,63,78,27,78,103,40,79,109,49,71,104,56,59,105,
55,42,105,50,36,114,52,42,131,53,47,139,67,65,160,84,89,181,96,103,189,91,107,182,78,98,164,75,84,150,78,72,145,81,59,144,85,50,146,87,46,148,81,45,146,72,40,131,
53,34,102,41,24,74,30,21,57,20,14,37,13,8,25,6,4,15,3,3,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,3,1,11,8,2,10,9,3,8,7,2,
6,5,2,5,4,1,3,2,1,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,9,2,2,13,3,4,12,3,4,11,3,3,10,2,3,9,2,4,9,2,3,
12,3,4,16,4,6,18,4,6,18,4,7,18,4,6,17,4,6,18,4,7,24,6,12,28,7,16,29,7,18,30,8,18,30,7,18,30,8,18,32,8,19,32,9,20,33,9,20,
33,9,19,34,9,20,35,9,21,35,9,21,35,9,22,35,9,22,31,8,22,27,7,21,26,6,20,24,6,19,22,6,21,24,11,37,23,11,36,21,8,25,22,6,18,24,6,12,
23,5,11,19,4,11,15,3,8,15,3,10,17,5,14,19,7,22,23,11,34,25,12,37,23,13,37,12,6,16,1,0,0,0,0,0,12,5,22,36,16,68,39,21,85,30,21,83,
20,20,70,12,16,54,19,13,55,40,20,86,54,28,112,62,31,121,69,31,124,86,37,144,107,55,178,119,69,200,114,78,207,112,77,203,117,81,194,120,90,187,109,85,175,95,69,164,
88,64,172,78,74,190,54,61,172,32,35,119,18,18,74,14,14,57,9,10,42,4,4,17,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,6,2,28,32,9,51,54,16,
57,59,18,56,57,17,55,57,17,53,56,16,42,48,13,32,33,20,37,25,42,51,32,57,66,45,61,59,44,40,45,40,19,27,36,19,18,41,53,21,60,80,24,72,95,35,81,108,
50,77,112,70,71,122,74,56,124,64,42,120,52,35,118,54,43,133,63,58,157,75,77,177,82,92,187,87,102,184,84,103,177,78,96,164,72,74,147,66,41,124,68,32,123,68,32,124,
63,35,122,57,34,118,58,40,122,56,38,115,52,34,100,43,28,81,29,22,60,15,13,35,6,6,15,3,3,6,0,0,3,0,0,0,1,1,0,7,6,0,9,7,0,10,9,1,
12,11,2,17,14,5,19,15,5,17,14,4,15,12,4,12,10,3,10,8,2,8,7,2,10,6,3,16,7,4,20,7,6,20,7,6,20,6,6,19,6,6,20,6,6,22,6,8,
24,7,10,23,7,10,22,6,10,23,6,10,23,6,10,23,6,10,24,7,11,27,8,14,32,9,19,32,9,20,34,10,22,32,9,21,33,8,22,35,10,23,36,10,23,34,9,23,
34,9,23,32,9,23,30,7,21,27,6,20,25,6,18,23,6,17,21,6,15,21,5,13,22,5,12,25,6,13,29,7,14,30,8,15,29,7,16,30,8,14,29,7,15,27,7,14,
24,6,12,21,6,13,21,9,26,23,10,30,24,11,33,25,13,35,21,8,21,15,5,11,9,2,3,3,0,0,2,2,9,6,6,29,13,13,53,24,22,78,18,19,66,9,11,43,
6,9,34,10,9,39,30,20,82,54,28,113,69,32,126,84,35,141,100,44,166,117,64,195,128,78,211,134,74,211,131,65,202,133,79,195,129,87,186,118,73,178,105,66,183,95,70,195,
81,70,193,52,48,152,24,23,90,14,15,61,11,12,49,5,6,25,2,2,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,12,3,
36,39,11,54,57,17,57,59,18,56,57,17,55,57,17,50,55,15,40,46,13,38,39,25,42,33,40,56,35,61,59,37,61,52,31,49,40,20,47,40,24,63,31,37,67,22,54,76,
26,70,91,54,85,125,85,96,152,96,87,153,89,71,141,74,51,126,63,42,130,58,44,136,57,50,148,65,61,162,76,77,176,83,90,184,85,86,178,76,61,159,65,46,141,58,36,122,
51,28,107,48,24,98,49,25,102,54,29,108,57,34,115,60,37,121,55,40,121,41,34,100,25,28,76,22,23,62,18,21,56,10,15,44,5,8,31,4,5,23,3,4,19,3,4,12,
4,3,5,8,6,2,15,9,4,17,11,4,19,14,5,19,15,5,20,16,5,21,16,5,21,16,5,23,17,6,24,17,7,24,17,7,24,16,7,24,16,7,24,15,7,26,17,10,
28,17,12,27,16,12,28,16,12,27,16,11,28,16,12,28,17,12,28,17,13,30,18,15,35,20,21,37,20,23,34,16,23,31,12,21,30,12,20,30,13,19,28,10,18,23,6,15,
21,5,14,21,5,13,24,6,13,25,6,14,28,7,14,31,8,15,33,9,16,36,10,18,38,10,19,40,11,20,39,10,19,35,9,16,31,8,15,29,8,12,26,6,10,25,6,9,
26,6,8,27,7,12,26,11,31,20,8,25,15,5,12,9,2,3,5,1,1,4,3,11,4,5,20,7,9,35,11,14,51,15,19,65,13,18,60,9,13,45,7,9,36,10,10,42,
21,13,51,38,20,81,62,28,115,85,35,140,102,48,170,113,61,191,125,72,205,132,76,209,138,64,205,142,56,198,138,52,186,130,58,181,118,66,187,102,73,198,88,73,198,75,62,179,
51,35,124,27,18,80,13,15,59,8,9,38,3,3,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,16,18,5,42,45,13,56,59,17,57,58,18,56,57,17,54,57,17,49,54,14,43,49,14,39,41,24,50,42,60,64,49,95,75,48,99,73,41,91,59,28,75,44,23,65,
31,28,59,32,47,76,49,70,109,67,85,135,82,96,152,91,97,156,95,87,153,95,71,149,80,55,139,65,44,133,60,42,138,59,41,143,67,49,151,72,57,159,72,59,162,75,62,165,
73,59,161,68,49,143,62,40,130,51,31,112,43,24,97,40,20,88,42,22,92,40,21,87,40,25,93,43,29,94,43,36,97,33,30,84,21,17,59,16,14,54,16,15,57,15,13,45,
11,5,17,8,2,1,8,2,3,7,1,2,7,2,2,8,2,3,9,3,3,10,4,2,11,6,3,13,7,3,13,8,3,14,9,3,15,10,4,18,11,5,23,13,7,23,14,7,
24,14,7,23,14,7,23,14,7,25,15,8,28,16,10,29,17,10,29,16,10,30,16,10,31,15,11,32,15,13,30,11,13,30,9,12,31,10,12,33,10,15,36,10,17,34,9,16,
35,9,17,37,10,18,39,11,19,41,12,20,41,13,20,41,11,20,38,11,18,37,10,18,35,9,16,33,9,14,31,8,12,28,7,10,27,7,9,27,6,8,28,7,8,27,6,8,
24,6,7,19,5,7,9,2,3,3,1,2,3,2,8,3,4,16,6,7,30,7,7,33,5,6,26,6,7,27,10,14,47,8,9,38,8,9,37,16,12,49,30,18,72,44,24,94,
61,24,105,86,34,141,107,47,170,117,61,193,130,66,206,137,71,211,142,68,209,145,59,201,144,51,190,139,47,183,133,49,186,119,65,199,100,83,211,82,74,195,62,44,146,38,25,99,
18,17,68,10,11,46,6,6,27,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,2,3,1,22,25,7,47,50,15,56,59,18,56,57,17,55,56,17,54,57,16,48,53,12,45,53,36,51,60,81,67,70,118,79,69,126,82,59,116,76,45,96,
64,31,85,54,28,83,46,32,76,42,42,78,44,59,95,60,84,127,86,101,157,114,107,178,123,108,178,114,92,163,100,74,151,91,54,140,89,49,138,81,46,136,70,43,133,65,44,140,
66,50,149,69,56,151,73,59,153,73,60,153,61,53,144,41,43,120,33,34,107,30,29,98,33,25,93,39,27,87,48,30,88,51,32,84,45,24,65,41,21,59,39,18,59,38,16,52,
33,15,30,21,11,3,22,12,4,19,10,4,18,9,5,16,7,5,14,6,5,15,7,5,14,7,4,12,6,4,10,4,3,10,3,3,10,4,4,15,4,5,22,6,7,23,6,7,
24,7,8,27,7,9,28,7,9,32,9,11,35,10,12,37,10,13,38,10,13,37,10,13,37,11,13,37,11,13,39,12,13,39,13,14,40,14,16,42,15,20,42,16,20,42,16,20,
41,16,19,40,16,19,40,17,18,40,17,17,38,17,16,34,12,13,29,8,11,28,7,10,28,7,9,27,7,8,27,7,8,27,6,10,26,7,10,25,6,10,18,4,7,9,2,3,
5,1,5,3,3,11,3,4,17,5,6,27,7,8,34,6,7,29,3,4,17,0,0,3,0,0,0,1,1,8,10,11,45,22,17,64,37,25,89,51,27,106,64,29,121,76,35,139,
94,49,167,118,61,192,134,65,203,141,69,208,156,64,212,160,60,209,160,56,202,152,51,194,141,51,191,130,63,200,117,78,211,94,76,203,69,52,162,43,28,109,21,16,68,12,13,55,
6,7,28,1,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,6,7,2,29,33,9,51,54,16,56,58,17,55,56,17,54,56,17,54,56,18,54,60,42,57,68,79,60,75,113,67,74,126,76,72,130,
79,61,118,81,55,117,79,49,115,67,38,99,54,31,85,49,34,80,59,47,99,79,71,129,101,97,156,114,106,166,122,112,173,127,109,175,124,102,171,120,88,164,111,73,154,100,60,146,
89,48,139,79,45,137,71,44,135,68,47,136,61,51,138,57,53,138,53,54,135,45,50,124,38,43,113,34,41,112,38,41,108,40,40,103,38,39,97,40,36,92,43,35,89,44,33,84,
40,29,67,30,22,31,25,20,15,25,19,11,24,17,6,26,17,7,27,17,7,31,21,9,34,22,9,32,22,9,31,21,9,31,20,8,29,19,9,31,19,9,34,19,10,34,19,10,
35,19,11,36,19,12,37,19,12,38,19,14,40,20,15,41,21,15,41,21,15,41,21,16,41,22,15,41,22,15,41,22,15,43,23,16,45,25,17,43,25,16,41,22,15,38,19,13,
37,16,13,35,15,11,36,15,11,35,14,11,34,12,11,33,10,11,29,8,10,27,7,11,28,7,13,25,6,12,21,5,11,19,4,11,16,4,12,15,4,14,10,5,17,4,6,22,
5,6,27,8,8,35,9,9,33,8,6,20,5,3,9,0,0,0,0,0,0,1,1,3,9,5,22,24,14,57,45,25,98,60,30,119,70,33,128,79,37,143,92,50,168,105,61,188,
124,67,200,142,65,206,161,64,211,169,62,212,173,60,211,169,57,206,158,56,202,141,63,204,121,74,209,102,78,206,74,59,171,47,31,116,24,16,75,12,14,56,7,9,36,2,2,10,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,12,3,36,40,11,53,56,16,56,58,18,55,56,17,54,56,15,54,56,21,56,61,43,57,65,72,59,72,105,
63,75,122,71,75,134,80,74,144,86,71,148,85,60,134,76,47,118,66,37,101,64,37,98,65,42,97,72,57,111,86,74,131,101,91,152,115,106,167,122,110,173,126,110,176,126,108,174,
123,100,171,119,86,163,110,72,155,100,54,146,90,45,137,82,44,137,77,47,137,68,44,127,63,46,123,55,47,120,51,47,117,47,46,116,40,41,101,34,34,84,33,34,86,31,35,88,
28,32,80,25,26,56,23,24,48,22,22,36,18,14,5,19,14,2,21,15,3,24,18,5,28,20,5,29,20,7,30,22,8,32,23,9,32,23,9,33,23,10,33,23,9,33,23,9,
33,24,9,32,24,9,33,24,9,35,24,10,37,25,11,39,25,12,38,26,12,36,23,11,33,19,11,31,18,11,33,17,11,35,17,12,37,17,13,37,16,14,36,14,12,34,12,13,
34,10,13,34,9,15,33,9,15,30,7,15,30,7,15,28,7,15,24,6,12,21,4,12,19,4,13,14,3,12,12,5,18,11,6,23,10,8,30,10,8,33,12,10,37,12,10,35,
11,5,19,12,4,13,13,3,9,11,2,4,7,2,6,8,4,19,19,10,43,36,17,72,48,22,96,62,29,119,73,33,136,83,40,148,97,50,169,117,64,194,140,68,207,154,67,212,
164,63,212,174,62,214,181,62,215,177,60,212,164,59,207,144,62,204,122,72,206,101,75,201,76,58,169,46,31,115,24,16,74,12,12,54,7,9,38,3,3,14,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,20,6,42,45,13,54,57,17,54,57,17,54,56,16,54,56,14,54,56,16,54,58,30,
55,62,56,58,68,88,68,77,128,79,86,155,80,82,155,83,76,152,89,70,142,90,61,140,83,46,120,71,40,107,71,37,104,83,45,120,97,59,142,102,74,149,107,87,155,112,97,162,
117,111,168,122,115,173,124,106,175,120,86,164,112,59,148,109,48,144,106,48,145,102,45,142,100,49,141,91,51,134,76,49,120,68,48,116,60,43,104,51,36,88,51,39,93,47,38,94,
38,32,85,31,24,72,30,25,79,31,24,65,29,18,38,28,15,24,27,15,19,28,15,18,27,15,18,26,14,10,27,14,9,29,16,10,30,16,10,28,16,10,28,16,9,29,16,10,
31,18,13,32,18,13,32,18,14,33,19,14,36,19,16,37,20,16,37,20,17,35,16,16,31,11,15,29,7,15,30,7,15,32,8,17,34,8,18,34,8,19,34,8,18,35,9,19,
35,9,19,35,10,19,32,8,17,27,7,14,23,6,13,20,5,16,13,5,18,10,7,23,13,11,33,13,12,33,12,10,36,13,9,33,12,6,22,12,5,16,14,4,11,12,3,7,
10,2,5,9,2,8,9,4,17,8,8,34,22,19,70,44,26,98,59,28,113,65,31,125,68,32,127,82,39,146,104,57,178,123,64,195,139,63,204,161,65,214,179,65,218,185,63,218,
186,62,218,182,61,215,171,60,211,151,63,208,119,66,200,93,64,187,72,53,161,45,32,117,25,18,77,13,13,59,7,9,38,4,4,19,0,0,2,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,1,24,26,7,46,50,14,53,56,17,54,56,17,54,56,16,54,56,15,
53,55,13,53,55,19,66,61,56,82,70,107,82,74,129,83,84,146,89,91,161,100,92,172,109,84,172,102,73,160,99,63,150,101,54,149,105,51,149,101,47,145,98,47,140,99,53,139,
103,67,142,108,83,149,113,92,154,111,79,145,106,59,133,105,52,132,108,52,138,106,50,138,110,52,143,109,52,142,98,49,127,96,49,122,95,49,121,90,48,118,86,47,114,81,46,111,
73,44,103,64,39,97,58,35,92,60,39,101,60,37,90,58,34,77,56,33,74,58,32,74,59,30,71,54,25,52,44,20,31,36,17,16,33,15,11,33,15,11,33,15,11,34,14,12,
37,15,17,37,14,19,37,13,18,38,14,19,38,14,19,36,14,18,38,14,19,37,13,18,36,11,18,35,11,17,35,11,16,35,11,16,34,11,15,34,12,15,34,12,14,35,14,13,
34,14,13,32,15,12,30,16,11,27,15,8,22,13,13,24,16,28,25,17,34,25,16,26,28,18,27,28,14,25,19,5,13,20,5,10,14,2,5,9,2,5,9,3,13,7,5,22,
10,10,39,17,16,61,30,26,93,42,32,112,56,39,132,71,38,139,84,41,146,92,47,156,109,51,173,135,59,194,158,65,210,173,65,217,182,64,218,191,64,220,193,63,220,187,62,218,
171,61,212,145,61,205,117,63,195,90,61,181,66,47,150,43,30,109,23,17,70,13,13,56,8,10,40,4,6,22,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,8,2,28,32,9,46,50,14,51,55,16,53,56,17,
53,56,17,53,56,15,57,57,22,67,60,44,73,62,61,80,65,85,83,71,110,89,81,137,99,89,158,106,96,171,108,96,175,108,89,174,109,79,171,108,72,170,111,64,165,110,56,157,
108,53,149,106,53,143,107,58,142,114,62,147,117,61,147,114,60,141,112,59,137,107,57,131,105,54,130,105,54,131,103,54,129,105,54,128,109,54,132,109,53,132,110,53,133,107,52,127,
93,47,105,81,43,87,75,42,82,75,41,84,76,42,84,72,42,77,69,42,73,64,39,63,65,39,64,63,38,60,55,35,43,42,30,21,38,28,12,37,26,11,38,27,12,37,26,12,
37,24,12,35,21,12,35,21,12,35,21,12,35,21,12,36,22,13,36,22,13,34,19,13,34,19,12,35,19,13,35,19,13,35,21,13,35,21,14,36,22,15,36,22,14,35,22,15,
34,22,14,34,21,16,35,22,17,32,20,15,28,15,16,28,14,17,27,12,15,21,9,9,17,8,7,12,3,4,9,3,10,8,5,21,8,9,36,9,13,48,13,19,69,23,25,86,
41,32,112,54,35,127,65,39,140,80,41,150,98,47,164,119,53,178,139,60,195,160,64,209,177,66,218,188,67,221,193,65,222,197,65,222,196,65,222,190,64,220,173,64,217,148,65,210,
108,60,189,80,52,164,56,37,126,30,19,75,18,13,56,13,15,56,8,10,39,5,5,21,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,12,3,32,36,10,45,49,13,
50,53,15,52,55,16,53,56,15,53,56,15,55,57,21,58,57,27,63,58,40,74,61,65,92,68,104,102,76,130,105,83,147,104,91,158,103,95,165,105,98,173,114,100,183,125,93,187,
125,81,184,123,73,178,118,64,167,128,64,173,131,66,174,128,63,167,125,64,163,121,64,157,120,64,154,119,63,149,117,64,144,112,62,135,104,59,124,104,57,123,106,57,126,106,56,123,
98,51,111,89,48,97,87,47,94,84,45,89,83,44,88,73,41,71,57,35,45,43,30,19,40,30,14,41,30,18,41,31,16,39,28,10,39,28,11,41,29,12,42,30,13,42,30,13,
42,30,13,41,30,13,41,30,12,41,30,12,42,31,15,45,32,19,47,33,22,46,30,22,45,27,22,45,23,22,44,23,21,42,21,21,40,20,20,39,19,19,36,17,17,29,15,14,
22,11,10,19,8,8,15,5,6,11,4,5,7,3,4,6,2,7,6,4,15,6,6,25,8,10,39,10,15,54,13,17,65,16,21,77,25,30,96,33,29,101,42,30,107,55,27,107,
80,38,142,104,46,166,123,54,182,144,59,196,166,63,209,181,65,217,191,68,222,198,67,224,202,67,224,202,66,224,196,65,222,182,63,218,161,63,212,131,63,202,101,60,186,71,47,151,
45,28,102,23,13,55,11,7,33,6,7,31,5,7,27,3,4,15,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,14,16,5,
31,36,9,42,47,13,48,51,14,51,53,15,52,55,15,52,55,14,51,55,15,55,56,23,80,64,68,97,69,100,111,73,125,119,75,142,116,77,146,113,81,150,112,87,159,125,96,177,
132,102,189,134,106,196,132,98,193,136,94,195,134,86,191,128,79,184,129,72,178,127,70,177,127,69,174,131,69,174,135,70,173,128,68,162,114,66,146,110,63,139,109,64,138,108,62,133,
107,61,128,104,60,122,101,58,117,100,57,115,99,55,114,90,51,100,72,44,72,66,39,60,60,35,53,60,34,51,56,33,44,48,28,32,39,23,16,38,23,13,41,24,16,41,24,16,
42,24,16,42,24,17,41,23,16,40,19,15,38,18,12,39,19,13,40,20,15,39,19,14,37,16,13,36,14,12,31,10,10,24,7,7,20,5,5,16,3,4,12,2,2,4,1,3,
1,1,8,3,4,18,7,7,30,13,12,46,19,16,58,29,23,80,30,23,83,21,21,71,21,21,72,26,26,89,39,27,98,59,30,115,83,35,133,104,39,151,117,42,161,130,46,173,
151,56,194,172,65,212,187,68,220,198,68,223,204,68,224,206,68,225,204,67,226,196,65,223,186,65,221,168,63,214,141,62,204,108,53,179,78,43,149,54,35,120,31,20,76,13,8,37,
7,6,27,5,6,25,2,3,13,3,3,13,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
2,3,0,15,19,5,28,33,8,36,41,11,42,46,12,49,51,14,52,55,15,53,56,16,61,58,32,73,62,55,85,66,82,104,72,113,115,74,130,122,75,141,125,76,148,127,79,154,
129,82,162,129,88,168,132,92,175,132,97,181,133,103,189,138,102,194,142,102,198,143,101,201,140,98,200,144,92,199,146,82,194,142,76,186,136,72,178,133,70,173,131,72,171,131,72,168,
127,72,160,123,68,149,120,67,143,116,66,139,116,66,139,115,66,138,110,63,131,105,60,126,103,57,124,104,57,124,97,54,116,84,49,96,68,42,70,62,40,62,62,40,63,64,40,64,
64,38,64,63,37,65,60,31,66,50,24,56,29,15,23,22,12,11,24,13,15,26,14,19,28,15,25,28,14,27,22,10,22,12,6,18,11,9,26,15,10,29,22,13,40,27,19,56,
36,28,88,40,28,95,49,30,102,56,33,112,65,33,113,75,34,120,67,27,98,66,26,95,77,29,114,88,32,128,113,40,155,142,49,182,166,56,202,178,60,211,188,63,217,196,66,222,
204,67,224,208,69,225,209,69,226,208,68,227,203,67,226,189,64,221,167,60,210,140,59,200,111,54,183,82,44,153,61,34,122,32,17,69,17,8,36,6,2,13,0,0,0,0,1,5,
3,4,17,2,2,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,4,4,1,12,17,4,22,27,7,30,34,10,40,43,11,45,47,12,49,51,13,50,54,13,53,55,20,62,59,38,72,62,57,84,66,79,97,69,102,107,72,119,
115,73,133,121,74,141,126,76,148,127,77,152,133,82,163,145,88,179,150,92,188,155,98,198,154,102,201,152,105,202,154,100,201,151,90,195,144,80,187,144,76,186,145,78,186,144,79,186,
145,81,185,143,78,183,139,72,173,136,68,166,136,70,165,137,71,164,137,69,166,135,70,163,130,68,155,129,68,153,125,67,150,118,64,140,110,62,129,108,61,126,107,61,125,104,59,123,
100,54,117,99,51,119,96,48,118,83,41,103,69,35,83,69,39,92,77,43,106,74,45,108,78,46,110,77,44,113,62,38,97,57,34,89,62,40,98,70,42,106,77,42,112,84,43,122,
89,41,132,90,36,129,95,35,131,103,38,140,119,42,154,133,46,168,148,51,182,161,56,195,171,59,205,180,61,212,189,63,219,198,66,222,205,67,225,208,68,226,210,68,227,211,68,227,
210,68,228,201,67,226,186,63,219,163,59,206,135,53,188,105,46,164,80,41,146,61,33,122,37,20,79,18,8,39,6,2,13,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,5,6,1,12,17,4,20,25,7,25,29,7,30,32,8,36,39,10,43,45,10,47,50,11,49,53,12,50,53,15,55,56,26,60,57,39,
70,59,57,84,64,84,98,67,110,107,70,123,113,71,130,122,73,142,129,74,152,135,76,160,141,78,168,144,81,174,151,85,182,153,85,185,151,81,181,150,80,180,146,78,177,148,79,181,
150,80,185,152,79,188,148,74,182,144,70,175,141,69,173,146,70,178,148,70,181,148,70,180,144,68,174,142,69,172,144,69,173,143,69,172,144,69,173,144,69,173,144,69,173,135,65,162,
128,61,155,123,59,149,121,58,147,116,55,138,121,58,147,125,61,160,122,63,162,114,59,152,114,56,148,112,55,147,112,52,148,118,53,153,128,56,161,136,58,170,144,59,178,151,56,186,
160,56,194,168,58,201,174,59,206,181,62,212,190,64,217,195,66,220,203,67,224,207,67,226,210,68,226,212,69,228,212,69,228,211,69,229,209,69,229,202,67,226,189,64,222,169,61,211,
141,54,191,112,48,169,89,39,147,69,33,124,49,24,93,31,14,63,19,9,41,10,5,22,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,7,9,2,15,18,5,14,15,4,14,16,4,19,21,6,28,29,7,38,39,10,44,44,11,46,48,11,48,51,11,
49,52,10,57,55,29,71,58,59,81,62,78,82,62,82,89,64,97,96,63,107,101,63,115,105,63,121,114,66,132,132,72,157,144,76,173,153,79,182,156,81,187,158,81,187,163,84,192,
168,86,197,171,86,200,173,86,201,165,84,194,159,81,189,159,79,188,162,78,193,159,75,191,160,75,192,158,73,191,157,73,190,154,71,187,154,71,188,158,68,191,162,68,196,163,69,195,
157,66,190,151,64,185,154,65,187,157,67,190,160,66,194,161,62,196,163,62,197,163,61,197,167,62,199,172,63,203,182,66,210,188,67,215,193,68,219,197,69,221,199,68,222,204,68,224,
208,69,226,211,70,227,213,72,227,213,71,227,214,68,228,214,69,229,215,69,230,212,69,231,206,68,229,196,65,224,180,61,214,158,54,196,135,47,176,107,38,149,77,33,126,50,27,100,
27,19,69,20,13,51,18,10,41,15,7,30,7,3,14,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,5,5,2,7,8,2,9,10,3,11,11,3,16,16,4,22,22,6,30,29,8,38,37,9,
44,44,12,48,48,13,62,54,39,66,56,45,69,57,52,71,57,56,72,57,61,74,57,67,77,56,74,80,55,83,93,57,106,105,59,125,115,61,140,125,63,151,134,66,162,146,72,175,
157,77,188,167,79,199,175,83,204,180,86,208,183,88,211,186,87,213,187,86,214,188,86,214,190,86,215,187,81,214,185,79,213,183,78,211,182,78,211,185,77,213,189,76,216,191,75,217,
193,74,218,192,72,218,193,73,219,194,73,219,196,72,220,199,70,222,202,71,223,205,71,225,208,72,226,211,72,227,214,73,227,215,74,227,214,74,228,214,75,228,215,76,228,217,76,229,
216,77,230,213,76,230,207,75,227,200,71,224,191,64,219,175,59,209,154,53,191,128,45,167,103,36,139,74,26,105,46,17,72,30,11,49,17,6,31,6,4,17,3,3,15,0,0,4,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,3,0,4,4,1,7,6,2,7,7,2,12,11,3,15,14,4,
21,21,6,33,29,21,44,36,32,51,43,35,56,47,37,55,47,32,59,49,37,60,50,40,60,49,40,60,50,41,63,50,49,66,50,56,68,50,63,71,47,71,74,45,79,90,50,102,
108,56,129,118,57,143,130,60,159,143,63,174,155,68,187,166,71,198,175,75,206,181,78,210,187,79,214,189,77,216,190,77,217,192,78,219,194,78,219,198,79,222,201,80,223,201,80,224,
203,79,225,205,78,226,206,80,226,206,79,226,206,79,226,206,78,226,209,79,227,207,79,227,208,79,228,208,78,227,205,76,225,199,73,222,192,70,217,181,67,210,174,63,205,166,61,200,
155,56,191,135,49,172,109,40,147,90,33,127,75,27,111,59,21,90,35,13,59,20,8,37,5,3,14,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,2,1,4,3,1,
6,5,1,17,11,18,29,17,33,33,22,33,33,25,26,38,30,28,47,36,40,48,37,37,45,37,31,52,41,34,54,43,38,55,43,38,57,44,36,56,44,38,56,44,41,67,49,60,
77,52,78,79,51,84,81,50,90,84,47,98,94,47,112,102,48,124,112,51,138,117,51,144,123,54,152,130,55,160,138,57,169,143,58,174,147,59,178,152,61,182,153,62,184,155,62,185,
157,62,187,157,63,187,160,64,190,157,63,188,151,61,181,146,59,176,143,58,172,134,53,164,125,50,157,121,47,154,111,43,143,99,35,131,92,32,125,81,29,113,71,25,105,68,24,105,
61,22,97,50,18,80,34,12,57,25,10,45,25,9,42,22,8,38,14,6,26,11,4,22,8,4,14,1,1,4,0,0,3,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
};


#pragma clang diagnostic pop
#endif