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fax3sm.c

/* WARNING, this file was automatically generated by the
    mkg3states program */
#include "tiff.h"
#include "tif_fax3.h"
 const  TIFFFaxTabEnt TIFFFaxMainTable[128] = {
12,7,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,1,4,0,3,1,0,5,3,1,3,1,0,
2,3,0,3,1,0,4,3,1,3,1,0,5,6,2,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,
1,4,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,5,7,3,3,1,0,5,3,1,3,1,0,
2,3,0,3,1,0,4,3,1,3,1,0,1,4,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,
4,6,2,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,1,4,0,3,1,0,5,3,1,3,1,0,
2,3,0,3,1,0,4,3,1,3,1,0,6,7,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,
1,4,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,5,6,2,3,1,0,5,3,1,3,1,0,
2,3,0,3,1,0,4,3,1,3,1,0,1,4,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,
4,7,3,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,1,4,0,3,1,0,5,3,1,3,1,0,
2,3,0,3,1,0,4,3,1,3,1,0,4,6,2,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0,
1,4,0,3,1,0,5,3,1,3,1,0,2,3,0,3,1,0,4,3,1,3,1,0
};
const TIFFFaxTabEnt TIFFFaxWhiteTable[4096] = {
12,11,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,
7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,
7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,9,9,1472,7,4,5,7,8,43,7,6,17,9,9,1216,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,
7,8,41,7,6,16,9,9,960,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,
9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,11,1792,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,
7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,
7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1600,7,4,5,
7,8,44,7,6,17,9,9,1344,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,
7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6,
7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,
7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,
7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1536,7,4,5,7,8,43,7,6,17,9,9,1280,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,
7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,768,7,4,6,
7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,
7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
11,11,1856,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,896,7,4,6,
7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,
7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,9,9,1728,7,4,5,7,8,44,7,6,17,9,9,1408,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,
7,8,42,7,6,16,9,9,1152,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,
9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,
7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,
7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1472,7,4,5,
7,8,43,7,6,17,9,9,1216,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,
7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,960,7,4,6,
7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,11,12,2112,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,
7,8,40,7,6,16,9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,
7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1600,7,4,5,7,8,44,7,6,17,9,9,1344,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,
7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,
7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,
7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,
7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,
7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,9,9,1536,7,4,5,7,8,43,7,6,17,9,9,1280,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,
7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,768,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,
9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,12,2368,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,
7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,896,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,
7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1728,7,4,5,
7,8,44,7,6,17,9,9,1408,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,
7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1152,7,4,6,
7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,
7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,
7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1472,7,4,5,7,8,43,7,6,17,9,9,1216,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,
7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,960,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,704,7,4,6,
7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,
7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
11,12,1984,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,832,7,4,6,
7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,
7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,9,9,1600,7,4,5,7,8,44,7,6,17,9,9,1344,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,
7,8,42,7,6,16,9,9,1088,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,
9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,
7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,
7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1536,7,4,5,
7,8,43,7,6,17,9,9,1280,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,
7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,1024,7,4,6,
7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
7,7,26,7,5,9,9,9,768,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,11,11,1920,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,
7,8,40,7,6,16,9,9,896,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,
7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1728,7,4,5,7,8,44,7,6,17,9,9,1408,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,
7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1152,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,
7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,
7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,
7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,
7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,9,9,1472,7,4,5,7,8,43,7,6,17,9,9,1216,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,
7,8,41,7,6,16,9,9,960,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,
9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,12,2240,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,
7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,
7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1600,7,4,5,
7,8,44,7,6,17,9,9,1344,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,
7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6,
7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,
7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,
7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1536,7,4,5,7,8,43,7,6,17,9,9,1280,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,
7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,768,7,4,6,
7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,
7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
11,12,2496,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,896,7,4,6,
7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,
7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,9,9,1728,7,4,5,7,8,44,7,6,17,9,9,1408,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,
7,8,42,7,6,16,9,9,1152,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,
9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,12,11,0,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,
7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,
7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1472,7,4,5,
7,8,43,7,6,17,9,9,1216,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,
7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,960,7,4,6,
7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,11,11,1792,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,
7,8,40,7,6,16,9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,
7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1600,7,4,5,7,8,44,7,6,17,9,9,1344,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,
7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,
7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,
7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,
7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,
7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,9,9,1536,7,4,5,7,8,43,7,6,17,9,9,1280,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,
7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,768,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,
9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,11,1856,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,
7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,896,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,
7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1728,7,4,5,
7,8,44,7,6,17,9,9,1408,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,
7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1152,7,4,6,
7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,
7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,
7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1472,7,4,5,7,8,43,7,6,17,9,9,1216,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,
7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,960,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,704,7,4,6,
7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,
7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
11,12,2176,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,832,7,4,6,
7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,
7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,9,9,1600,7,4,5,7,8,44,7,6,17,9,9,1344,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,
7,8,42,7,6,16,9,9,1088,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,
9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,
7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,
7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1536,7,4,5,
7,8,43,7,6,17,9,9,1280,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,
7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,1024,7,4,6,
7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
7,7,26,7,5,9,9,9,768,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,11,12,2432,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,
7,8,40,7,6,16,9,9,896,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,
7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1728,7,4,5,7,8,44,7,6,17,9,9,1408,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,
7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1152,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,
7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,
7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,
7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,
7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,9,9,1472,7,4,5,7,8,43,7,6,17,9,9,1216,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,
7,8,41,7,6,16,9,9,960,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,
9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,12,2048,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,
7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,
7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1600,7,4,5,
7,8,44,7,6,17,9,9,1344,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,
7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6,
7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,
7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,
7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1536,7,4,5,7,8,43,7,6,17,9,9,1280,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,
7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,768,7,4,6,
7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,
7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
11,11,1920,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,896,7,4,6,
7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,
7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,9,9,1728,7,4,5,7,8,44,7,6,17,9,9,1408,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,
7,8,42,7,6,16,9,9,1152,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,
9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,0,0,0,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,
7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,7,7,19,7,5,8,7,8,55,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,7,8,53,7,5,9,9,8,448,7,4,6,
7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1472,7,4,5,
7,8,43,7,6,17,9,9,1216,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,33,9,5,128,7,8,49,7,6,14,
7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,7,8,41,7,6,16,9,9,960,7,4,6,
7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
7,7,26,7,5,9,9,9,704,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,9,8,320,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,11,12,2304,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,
7,8,40,7,6,16,9,9,832,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,7,8,36,9,5,128,7,8,52,7,6,15,
7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1600,7,4,5,7,8,44,7,6,17,9,9,1344,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,30,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,7,8,62,7,4,4,7,4,2,7,4,7,
7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1088,7,4,6,7,8,32,7,5,8,7,8,58,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,8,640,7,4,6,
7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,
7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
0,0,0,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,
7,7,28,7,4,4,7,4,2,7,4,7,7,7,23,7,4,3,7,7,27,7,4,5,7,8,39,7,6,16,9,8,576,7,4,6,
7,7,19,7,5,8,7,8,55,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,8,45,7,4,3,7,5,11,7,4,5,
7,8,53,7,5,9,9,8,448,7,4,6,7,8,35,9,5,128,7,8,51,7,6,15,7,8,63,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,9,9,1536,7,4,5,7,8,43,7,6,17,9,9,1280,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,29,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,
7,8,33,9,5,128,7,8,49,7,6,14,7,8,61,7,4,4,7,4,2,7,4,7,7,8,47,7,4,3,7,8,59,7,4,5,
7,8,41,7,6,16,9,9,1024,7,4,6,7,8,31,7,5,8,7,8,57,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,7,22,7,4,3,7,5,11,7,4,5,7,7,26,7,5,9,9,9,768,7,4,6,7,8,37,9,5,128,7,7,25,7,6,15,
9,8,320,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,
7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,11,12,2560,7,4,3,7,5,11,7,4,5,
7,6,12,7,5,9,9,6,1664,7,4,6,7,7,20,9,5,128,7,7,24,7,6,14,7,7,28,7,4,4,7,4,2,7,4,7,
7,7,23,7,4,3,7,7,27,7,4,5,7,8,40,7,6,16,9,9,896,7,4,6,7,7,19,7,5,8,7,8,56,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7,7,8,46,7,4,3,7,5,11,7,4,5,7,8,54,7,5,9,9,8,512,7,4,6,
7,8,36,9,5,128,7,8,52,7,6,15,7,8,0,7,4,4,7,4,2,7,4,7,7,6,13,7,4,3,9,9,1728,7,4,5,
7,8,44,7,6,17,9,9,1408,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,
7,8,30,7,4,3,7,5,11,7,4,5,7,6,12,7,5,9,9,6,1664,7,4,6,7,8,34,9,5,128,7,8,50,7,6,14,
7,8,62,7,4,4,7,4,2,7,4,7,7,8,48,7,4,3,7,8,60,7,4,5,7,8,42,7,6,16,9,9,1152,7,4,6,
7,8,32,7,5,8,7,8,58,9,5,64,7,5,10,7,4,4,7,4,2,7,4,7,7,7,22,7,4,3,7,5,11,7,4,5,
7,7,26,7,5,9,9,8,640,7,4,6,7,8,38,9,5,128,7,7,25,7,6,15,9,8,384,7,4,4,7,4,2,7,4,7,
7,6,13,7,4,3,7,7,18,7,4,5,7,7,21,7,6,17,9,7,256,7,4,6,7,6,1,7,5,8,9,6,192,9,5,64,
7,5,10,7,4,4,7,4,2,7,4,7
};
const  TIFFFaxTabEnt TIFFFaxBlackTable[8192] = {
12,11,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,10,18,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,10,17,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,11,1792,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,11,23,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,20,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,11,25,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,10,12,128,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,56,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,30,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
11,11,1856,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,57,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,11,21,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,54,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,52,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,48,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,11,12,2112,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,44,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,36,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,12,384,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,28,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,60,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,40,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2368,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,10,16,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,0,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
10,10,64,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,18,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,10,17,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
11,12,1984,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,50,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,34,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,10,13,1664,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,26,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
10,13,1408,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,32,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,11,11,1920,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,61,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,42,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,1024,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,10,13,768,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,62,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2240,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,46,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,38,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
10,13,512,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,11,19,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,24,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,11,22,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
11,12,2496,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,16,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,10,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,10,10,64,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,12,11,0,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,10,18,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,17,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,11,11,1792,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,11,23,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,11,20,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,25,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
10,12,192,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,10,13,1280,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,31,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,11,1856,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,58,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,21,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
10,13,896,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,640,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,49,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
11,12,2176,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,45,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,37,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,10,12,448,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,29,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
10,13,1536,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,41,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,11,12,2432,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,10,16,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,10,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,10,64,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,10,18,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,10,17,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2048,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,51,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,35,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
10,12,320,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,27,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,59,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,33,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
11,11,1920,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,12,256,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,43,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,10,13,1152,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,55,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,63,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,11,12,2304,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,47,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,39,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,53,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,11,19,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,11,24,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,11,22,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2560,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,10,16,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,0,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
10,10,64,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,12,11,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,18,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,10,17,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
11,11,1792,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,23,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,11,20,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,11,25,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,12,128,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,56,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,30,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,11,11,1856,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,57,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,11,21,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,54,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,52,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,48,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2112,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,44,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,36,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
10,12,384,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,28,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,60,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,40,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
11,12,2368,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,16,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,10,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,10,10,64,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,10,18,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,17,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,11,12,1984,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,50,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,34,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,1728,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,26,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,10,13,1472,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,32,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,11,1920,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,61,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,42,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
10,13,1088,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,832,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,62,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
11,12,2240,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,46,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,38,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,10,13,576,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,19,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,11,24,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,22,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,11,12,2496,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,10,16,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,10,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,10,64,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
12,11,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,10,18,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,10,17,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,11,1792,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,11,23,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,20,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,11,25,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,10,12,192,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,1344,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,31,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
11,11,1856,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,58,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,11,21,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,10,13,960,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
10,13,704,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,49,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,11,12,2176,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,45,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,37,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,12,448,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,29,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,10,13,1600,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,41,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2432,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,10,16,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,0,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
10,10,64,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,18,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,10,17,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
11,12,2048,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,51,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,35,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,10,12,320,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,27,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,59,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,33,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,11,11,1920,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
10,12,256,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,43,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,10,13,1216,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,13,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,9,15,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,55,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,63,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,11,12,2304,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,12,47,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,12,39,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,12,53,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,8,14,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,0,0,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,13,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,11,19,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,11,24,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,7,11,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,11,22,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
11,12,2560,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,9,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,10,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,10,16,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,10,0,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,10,10,64,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,6,9,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,8,7,11,8,2,3,8,3,1,8,2,2,
8,4,6,8,2,3,8,3,4,8,2,2,8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2,
8,8,14,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,8,6,8,8,2,3,8,3,1,8,2,2,
8,4,5,8,2,3,8,3,4,8,2,2,8,7,12,8,2,3,8,3,1,8,2,2,8,4,6,8,2,3,8,3,4,8,2,2,
8,5,7,8,2,3,8,3,1,8,2,2,8,4,5,8,2,3,8,3,4,8,2,2
};
/*
/--------------------------------------------------------------------
|
|      $log$
|
--------------------------------------------------------------------
*/

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