# Generated from MathExpr.g4 by ANTLR 4.13.2 from antlr4 import * from io import StringIO import sys if sys.version_info[1] > 5: from typing import TextIO else: from typing.io import TextIO def serializedATN(): return [ 4,0,231,2743,6,-1,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7, 5,2,6,7,6,2,7,7,7,2,8,7,8,2,9,7,9,2,10,7,10,2,11,7,11,2,12,7,12, 2,13,7,13,2,14,7,14,2,15,7,15,2,16,7,16,2,17,7,17,2,18,7,18,2,19, 7,19,2,20,7,20,2,21,7,21,2,22,7,22,2,23,7,23,2,24,7,24,2,25,7,25, 2,26,7,26,2,27,7,27,2,28,7,28,2,29,7,29,2,30,7,30,2,31,7,31,2,32, 7,32,2,33,7,33,2,34,7,34,2,35,7,35,2,36,7,36,2,37,7,37,2,38,7,38, 2,39,7,39,2,40,7,40,2,41,7,41,2,42,7,42,2,43,7,43,2,44,7,44,2,45, 7,45,2,46,7,46,2,47,7,47,2,48,7,48,2,49,7,49,2,50,7,50,2,51,7,51, 2,52,7,52,2,53,7,53,2,54,7,54,2,55,7,55,2,56,7,56,2,57,7,57,2,58, 7,58,2,59,7,59,2,60,7,60,2,61,7,61,2,62,7,62,2,63,7,63,2,64,7,64, 2,65,7,65,2,66,7,66,2,67,7,67,2,68,7,68,2,69,7,69,2,70,7,70,2,71, 7,71,2,72,7,72,2,73,7,73,2,74,7,74,2,75,7,75,2,76,7,76,2,77,7,77, 2,78,7,78,2,79,7,79,2,80,7,80,2,81,7,81,2,82,7,82,2,83,7,83,2,84, 7,84,2,85,7,85,2,86,7,86,2,87,7,87,2,88,7,88,2,89,7,89,2,90,7,90, 2,91,7,91,2,92,7,92,2,93,7,93,2,94,7,94,2,95,7,95,2,96,7,96,2,97, 7,97,2,98,7,98,2,99,7,99,2,100,7,100,2,101,7,101,2,102,7,102,2,103, 7,103,2,104,7,104,2,105,7,105,2,106,7,106,2,107,7,107,2,108,7,108, 2,109,7,109,2,110,7,110,2,111,7,111,2,112,7,112,2,113,7,113,2,114, 7,114,2,115,7,115,2,116,7,116,2,117,7,117,2,118,7,118,2,119,7,119, 2,120,7,120,2,121,7,121,2,122,7,122,2,123,7,123,2,124,7,124,2,125, 7,125,2,126,7,126,2,127,7,127,2,128,7,128,2,129,7,129,2,130,7,130, 2,131,7,131,2,132,7,132,2,133,7,133,2,134,7,134,2,135,7,135,2,136, 7,136,2,137,7,137,2,138,7,138,2,139,7,139,2,140,7,140,2,141,7,141, 2,142,7,142,2,143,7,143,2,144,7,144,2,145,7,145,2,146,7,146,2,147, 7,147,2,148,7,148,2,149,7,149,2,150,7,150,2,151,7,151,2,152,7,152, 2,153,7,153,2,154,7,154,2,155,7,155,2,156,7,156,2,157,7,157,2,158, 7,158,2,159,7,159,2,160,7,160,2,161,7,161,2,162,7,162,2,163,7,163, 2,164,7,164,2,165,7,165,2,166,7,166,2,167,7,167,2,168,7,168,2,169, 7,169,2,170,7,170,2,171,7,171,2,172,7,172,2,173,7,173,2,174,7,174, 2,175,7,175,2,176,7,176,2,177,7,177,2,178,7,178,2,179,7,179,2,180, 7,180,2,181,7,181,2,182,7,182,2,183,7,183,2,184,7,184,2,185,7,185, 2,186,7,186,2,187,7,187,2,188,7,188,2,189,7,189,2,190,7,190,2,191, 7,191,2,192,7,192,2,193,7,193,2,194,7,194,2,195,7,195,2,196,7,196, 2,197,7,197,2,198,7,198,2,199,7,199,2,200,7,200,2,201,7,201,2,202, 7,202,2,203,7,203,2,204,7,204,2,205,7,205,2,206,7,206,2,207,7,207, 2,208,7,208,2,209,7,209,2,210,7,210,2,211,7,211,2,212,7,212,2,213, 7,213,2,214,7,214,2,215,7,215,2,216,7,216,2,217,7,217,2,218,7,218, 2,219,7,219,2,220,7,220,2,221,7,221,2,222,7,222,2,223,7,223,2,224, 7,224,2,225,7,225,2,226,7,226,2,227,7,227,2,228,7,228,2,229,7,229, 2,230,7,230,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1,2,1,3, 1,3,1,3,1,3,1,3,1,4,1,4,1,4,1,4,1,4,1,5,1,5,1,5,1,5,1,5,1,6,1,6, 1,6,1,6,1,6,1,6,1,7,1,7,1,7,1,7,1,7,1,8,1,8,1,8,1,8,1,8,1,9,1,9, 1,9,1,9,1,9,1,10,1,10,1,10,1,10,1,10,1,10,1,11,1,11,1,11,1,11,1, 11,1,11,1,12,1,12,1,12,1,12,1,12,1,12,1,13,1,13,1,13,1,13,1,14,1, 14,1,14,1,14,1,14,1,15,1,15,1,15,1,16,1,16,1,16,1,16,1,17,1,17,1, 17,1,17,1,18,1,18,1,18,1,18,1,18,1,19,1,19,1,19,1,19,1,19,1,20,1, 20,1,20,1,20,1,20,1,21,1,21,1,21,1,21,1,21,1,22,1,22,1,22,1,22,1, 22,1,22,1,23,1,23,1,23,1,23,1,23,1,23,1,24,1,24,1,24,1,24,1,24,1, 24,1,25,1,25,1,25,1,25,1,25,1,26,1,26,1,26,1,26,1,26,1,26,1,27,1, 27,1,27,1,27,1,27,1,27,1,28,1,28,1,28,1,28,1,29,1,29,1,29,1,29,1, 29,1,30,1,30,1,30,1,30,1,30,1,30,1,31,1,31,1,31,1,31,1,32,1,32,1, 32,1,32,1,32,1,33,1,33,1,33,1,33,1,33,1,33,1,34,1,34,1,34,1,34,1, 34,1,34,1,35,1,35,1,35,1,35,1,35,1,35,1,35,1,35,1,35,1,35,1,35,1, 35,1,35,1,35,1,35,3,35,656,8,35,1,36,1,36,1,36,1,36,1,36,1,36,1, 36,1,36,1,36,1,36,1,36,1,36,1,36,3,36,671,8,36,1,37,1,37,1,37,1, 37,1,37,1,38,1,38,1,38,1,38,1,38,1,39,1,39,1,39,1,39,1,39,1,39,1, 39,1,39,1,39,1,39,1,39,1,40,1,40,1,40,1,40,1,40,1,40,1,41,1,41,1, 41,1,41,1,41,1,42,1,42,1,42,1,42,1,42,1,42,1,42,1,42,1,42,1,43,1, 43,1,43,1,43,1,43,1,44,1,44,1,44,1,44,1,44,1,45,1,45,1,45,1,45,1, 46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,1, 46,1,46,1,46,1,46,1,46,1,46,3,46,747,8,46,1,47,1,47,1,47,1,47,1, 47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,3,47,764,8, 47,1,48,1,48,1,48,1,48,1,48,1,49,1,49,1,49,1,49,1,49,1,49,1,49,1, 49,1,49,1,49,1,49,3,49,782,8,49,1,50,1,50,1,50,1,50,1,50,1,50,1, 50,1,50,1,50,1,50,1,50,3,50,795,8,50,1,51,1,51,1,51,1,51,1,51,1, 51,1,52,1,52,1,52,1,52,1,52,1,52,1,52,1,52,1,52,1,53,1,53,1,53,1, 53,1,53,1,53,1,53,1,53,1,53,1,54,1,54,1,54,1,54,1,54,1,55,1,55,1, 55,1,55,1,55,1,56,1,56,1,56,1,56,1,56,1,57,1,57,1,57,1,57,1,58,1, 58,1,58,1,58,1,58,1,59,1,59,1,59,1,59,1,60,1,60,1,60,1,60,1,61,1, 61,1,61,1,61,1,61,1,61,1,61,1,61,1,61,1,61,1,61,1,61,1,61,1,61,1, 61,3,61,868,8,61,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1, 62,1,62,1,62,1,62,1,62,1,62,3,62,885,8,62,1,63,1,63,1,63,1,63,1, 63,1,63,1,63,1,63,1,63,1,64,1,64,1,64,1,64,1,65,1,65,1,65,1,65,1, 65,1,65,1,65,1,66,1,66,1,66,1,66,1,67,1,67,1,67,1,67,1,67,1,67,1, 67,1,68,1,68,1,68,1,68,1,69,1,69,1,69,1,69,1,70,1,70,1,70,1,70,1, 70,1,71,1,71,1,71,1,71,1,71,1,71,1,71,1,71,1,71,1,71,1,71,1,71,3, 71,943,8,71,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,73,1,73,1,73,1, 73,1,73,1,74,1,74,1,74,1,74,1,74,1,74,1,74,1,75,1,75,1,75,1,75,1, 75,1,75,1,75,1,75,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1, 76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,3,76,992,8, 76,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1, 77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,3,77,1014,8,77,1,78,1,78,1, 78,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78,3, 78,1031,8,78,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1, 79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,3,79,1052,8,79,1,80,1, 80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,3,80,1067, 8,80,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81, 1,81,1,82,1,82,1,82,1,82,1,82,1,82,1,82,1,82,1,82,1,82,1,82,1,82, 3,82,1094,8,82,1,83,1,83,1,83,1,83,1,83,1,83,1,84,1,84,1,84,1,84, 1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84, 1,84,1,84,1,84,1,84,1,84,1,84,3,84,1125,8,84,1,85,1,85,1,85,1,85, 1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,3,85,1141,8,85, 1,86,1,86,1,86,1,86,1,86,1,86,1,86,1,87,1,87,1,87,1,87,1,87,1,87, 1,87,1,87,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,89,1,89,1,89,1,89, 1,89,1,89,1,89,1,89,1,89,1,89,1,90,1,90,1,90,1,90,1,90,1,90,1,90, 1,90,1,90,1,90,1,90,1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,91, 1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,91, 1,91,1,91,1,91,1,91,3,91,1212,8,91,1,92,1,92,1,92,1,92,1,92,1,92, 1,92,1,92,1,92,1,92,1,92,1,92,1,93,1,93,1,93,1,93,1,93,1,93,1,93, 1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,94,1,94,1,94,1,94,1,94,1,94, 1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94, 1,94,1,94,1,94,3,94,1262,8,94,1,95,1,95,1,95,1,95,1,95,1,95,1,95, 1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,95,3,95,1282, 8,95,1,96,1,96,1,96,1,96,1,96,1,96,1,97,1,97,1,97,1,97,1,97,1,97, 1,97,1,97,1,97,1,97,1,97,1,97,1,97,3,97,1303,8,97,1,98,1,98,1,98, 1,98,1,98,1,98,1,98,1,98,1,99,1,99,1,99,1,99,1,100,1,100,1,100,1, 100,1,100,1,100,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,102, 1,102,1,102,1,102,1,102,1,103,1,103,1,103,1,103,1,103,1,103,1,103, 1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,103,3,103,1350,8,103, 1,104,1,104,1,104,1,104,1,104,1,104,1,104,1,104,1,104,1,104,1,104, 1,104,1,104,1,104,1,104,1,104,1,104,1,104,1,104,1,104,1,104,1,104, 3,104,1374,8,104,1,105,1,105,1,105,1,105,1,105,1,105,1,106,1,106, 1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106, 1,106,1,106,3,106,1397,8,106,1,107,1,107,1,107,1,107,1,107,1,107, 1,107,1,107,1,107,1,107,1,107,1,107,1,107,1,107,1,107,3,107,1414, 8,107,1,108,1,108,1,108,1,108,1,108,1,108,1,108,1,108,1,108,1,108, 1,108,1,108,1,108,3,108,1429,8,108,1,109,1,109,1,109,1,109,1,109, 1,109,1,109,1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110, 1,110,1,110,1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111, 1,111,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112, 1,112,1,112,1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,113, 1,113,1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,114, 1,115,1,115,1,115,1,115,1,115,1,115,1,115,1,115,1,115,1,115,1,115, 1,115,1,115,1,115,1,115,1,115,1,115,1,115,1,115,1,115,3,115,1511, 8,115,1,116,1,116,1,116,1,116,1,117,1,117,1,117,1,117,1,117,1,117, 1,118,1,118,1,118,1,118,1,118,1,118,1,119,1,119,1,119,1,119,1,119, 1,119,1,120,1,120,1,120,1,120,1,120,1,121,1,121,1,121,1,121,1,121, 1,121,1,122,1,122,1,122,1,122,1,122,1,123,1,123,1,123,1,123,1,123, 1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,123,3,123, 1566,8,123,1,124,1,124,1,124,1,124,1,124,1,125,1,125,1,125,1,125, 1,125,1,125,1,125,1,125,1,126,1,126,1,126,1,126,1,126,1,126,1,126, 1,127,1,127,1,127,1,127,1,127,1,127,1,128,1,128,1,128,1,128,1,128, 1,128,1,128,1,128,1,128,1,128,1,128,1,129,1,129,1,129,1,129,1,129, 1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,130,1,130,1,130,1,130, 1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,131,1,131, 1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131, 1,131,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132, 1,132,1,132,1,132,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133, 1,133,1,133,1,133,1,133,1,133,1,133,1,134,1,134,1,134,1,134,1,134, 1,134,1,134,1,134,1,134,1,134,1,134,1,135,1,135,1,135,1,135,1,135, 1,135,1,135,1,135,1,135,1,135,1,135,1,136,1,136,1,136,1,136,1,136, 1,136,1,136,1,136,1,136,1,136,1,136,1,137,1,137,1,137,1,137,1,137, 1,137,1,137,1,137,1,137,1,137,1,137,1,138,1,138,1,138,1,138,1,138, 1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138, 1,138,1,138,1,138,1,139,1,139,1,139,1,139,1,139,1,139,1,139,1,139, 1,139,1,139,1,139,1,139,1,139,1,139,1,139,1,139,1,139,1,140,1,140, 1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140, 1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140, 1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140, 1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,3,140,1795, 8,140,1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141, 1,141,1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,142, 1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,143,1,143,1,143,1,143, 1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143, 1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143, 1,143,1,143,1,143,1,143,1,143,3,143,1856,8,143,1,144,1,144,1,144, 1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144, 1,144,1,144,1,144,1,144,1,144,3,144,1877,8,144,1,145,1,145,1,145, 1,146,1,146,1,146,1,146,1,146,1,147,1,147,1,147,1,147,1,147,1,147, 1,148,1,148,1,148,1,148,1,149,1,149,1,149,1,150,1,150,1,150,1,150, 1,150,1,150,1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151, 1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,153,1,153,1,153,1,153, 1,153,1,153,1,153,1,153,1,153,1,153,1,153,1,153,3,153,1934,8,153, 1,154,1,154,1,154,1,154,1,154,1,155,1,155,1,155,1,155,1,155,1,155, 1,155,1,155,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,157,1,157, 1,157,1,157,1,157,1,157,1,157,1,158,1,158,1,158,1,158,1,158,1,158, 1,158,1,158,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,160, 1,160,1,160,1,160,1,160,1,160,1,160,1,161,1,161,1,161,1,161,1,161, 1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162, 1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,164,1,164, 1,164,1,164,1,164,1,164,1,164,1,164,1,165,1,165,1,165,1,165,1,165, 1,165,1,165,1,165,1,165,1,165,1,166,1,166,1,166,1,166,1,166,1,167, 1,167,1,167,1,167,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168, 1,168,1,168,1,168,1,168,1,168,1,168,1,168,3,168,2053,8,168,1,169, 1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,170,1,170,1,170,1,170, 1,170,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171, 1,171,1,171,1,171,1,171,1,171,1,171,3,171,2084,8,171,1,172,1,172, 1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172, 1,172,1,172,1,172,1,172,3,172,2103,8,172,1,173,1,173,1,173,1,173, 1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173, 1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,3,173,2128,8,173, 1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174, 1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174, 1,174,3,174,2153,8,174,1,175,1,175,1,175,1,175,1,175,1,175,1,175, 1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175, 3,175,2173,8,175,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176, 1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176, 1,176,1,176,1,176,1,176,3,176,2198,8,176,1,177,1,177,1,177,1,177, 1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177, 1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177,3,177,2223,8,177, 1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178, 1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,3,178, 2246,8,178,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179, 1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,3,179, 2267,8,179,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180, 1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,3,180,2286,8,180, 1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181, 1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181,3,181,2307,8,181, 1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182, 1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,3,182,2328,8,182, 1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183, 1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183, 1,183,3,183,2353,8,183,1,184,1,184,1,184,1,184,1,184,1,184,1,184, 1,184,1,184,1,184,1,184,1,184,1,184,1,184,1,184,1,184,1,184,1,184, 1,184,3,184,2374,8,184,1,185,1,185,1,185,1,185,1,185,1,185,1,185, 1,185,1,185,1,185,1,185,1,185,1,185,1,185,1,185,1,185,1,185,1,185, 1,185,3,185,2395,8,185,1,186,1,186,1,186,1,186,1,186,1,186,1,186, 1,186,1,186,1,186,1,186,1,186,1,186,1,186,1,186,1,186,1,186,1,186, 1,186,1,186,3,186,2417,8,186,1,187,1,187,1,187,1,187,1,187,1,187, 1,187,1,187,1,187,1,187,1,187,1,187,1,187,1,187,1,187,1,187,1,187, 1,187,3,187,2437,8,187,1,188,1,188,1,188,1,188,1,188,1,188,1,188, 1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188, 1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188, 1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188, 1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,3,188,2487,8,188, 1,189,1,189,1,189,1,189,1,189,1,189,1,189,1,189,1,189,1,189,1,189, 1,189,1,189,1,189,1,189,1,189,1,189,1,189,1,189,1,189,1,189,1,189, 1,189,1,189,1,189,1,189,1,189,1,189,3,189,2517,8,189,1,190,1,190, 1,190,1,190,1,190,1,190,1,190,1,190,1,190,1,190,1,190,1,190,1,190, 1,190,1,190,1,190,1,190,1,190,3,190,2537,8,190,1,191,1,191,1,191, 1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191, 1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191, 1,191,1,191,1,191,3,191,2567,8,191,1,192,1,192,1,193,1,193,1,194, 1,194,1,195,1,195,1,196,1,196,1,197,1,197,1,198,1,198,1,198,1,199, 1,199,1,199,1,200,1,200,1,200,1,201,1,201,1,202,1,202,1,202,1,203, 1,203,1,204,1,204,1,204,1,205,1,205,1,206,1,206,1,206,1,207,1,207, 1,207,1,208,1,208,1,208,1,209,1,209,1,209,1,210,1,210,1,210,1,211, 1,211,1,211,1,212,1,212,1,213,1,213,1,214,1,214,1,215,1,215,1,216, 1,216,1,217,1,217,1,217,1,218,1,218,1,219,1,219,1,220,1,220,1,221, 1,221,1,222,1,222,1,223,1,223,1,224,4,224,2646,8,224,11,224,12,224, 2647,1,224,1,224,5,224,2652,8,224,10,224,12,224,2655,9,224,3,224, 2657,8,224,1,224,1,224,4,224,2661,8,224,11,224,12,224,2662,3,224, 2665,8,224,1,224,1,224,3,224,2669,8,224,1,224,4,224,2672,8,224,11, 224,12,224,2673,3,224,2676,8,224,1,225,1,225,1,225,1,225,1,225,3, 225,2683,8,225,1,226,1,226,1,226,1,226,5,226,2689,8,226,10,226,12, 226,2692,9,226,1,226,1,226,1,226,1,226,1,226,5,226,2699,8,226,10, 226,12,226,2702,9,226,1,226,3,226,2705,8,226,1,227,1,227,5,227,2709, 8,227,10,227,12,227,2712,9,227,1,228,1,228,5,228,2716,8,228,10,228, 12,228,2719,9,228,1,228,1,228,1,229,1,229,1,229,1,229,5,229,2727, 8,229,10,229,12,229,2730,9,229,1,229,1,229,1,229,1,229,1,229,1,230, 4,230,2738,8,230,11,230,12,230,2739,1,230,1,230,1,2728,0,231,1,1, 3,2,5,3,7,4,9,5,11,6,13,7,15,8,17,9,19,10,21,11,23,12,25,13,27,14, 29,15,31,16,33,17,35,18,37,19,39,20,41,21,43,22,45,23,47,24,49,25, 51,26,53,27,55,28,57,29,59,30,61,31,63,32,65,33,67,34,69,35,71,36, 73,37,75,38,77,39,79,40,81,41,83,42,85,43,87,44,89,45,91,46,93,47, 95,48,97,49,99,50,101,51,103,52,105,53,107,54,109,55,111,56,113, 57,115,58,117,59,119,60,121,61,123,62,125,63,127,64,129,65,131,66, 133,67,135,68,137,69,139,70,141,71,143,72,145,73,147,74,149,75,151, 76,153,77,155,78,157,79,159,80,161,81,163,82,165,83,167,84,169,85, 171,86,173,87,175,88,177,89,179,90,181,91,183,92,185,93,187,94,189, 95,191,96,193,97,195,98,197,99,199,100,201,101,203,102,205,103,207, 104,209,105,211,106,213,107,215,108,217,109,219,110,221,111,223, 112,225,113,227,114,229,115,231,116,233,117,235,118,237,119,239, 120,241,121,243,122,245,123,247,124,249,125,251,126,253,127,255, 128,257,129,259,130,261,131,263,132,265,133,267,134,269,135,271, 136,273,137,275,138,277,139,279,140,281,141,283,142,285,143,287, 144,289,145,291,146,293,147,295,148,297,149,299,150,301,151,303, 152,305,153,307,154,309,155,311,156,313,157,315,158,317,159,319, 160,321,161,323,162,325,163,327,164,329,165,331,166,333,167,335, 168,337,169,339,170,341,171,343,172,345,173,347,174,349,175,351, 176,353,177,355,178,357,179,359,180,361,181,363,182,365,183,367, 184,369,185,371,186,373,187,375,188,377,189,379,190,381,191,383, 192,385,193,387,194,389,195,391,196,393,197,395,198,397,199,399, 200,401,201,403,202,405,203,407,204,409,205,411,206,413,207,415, 208,417,209,419,210,421,211,423,212,425,213,427,214,429,215,431, 216,433,217,435,218,437,219,439,220,441,221,443,222,445,223,447, 224,449,225,451,226,453,227,455,228,457,229,459,230,461,231,1,0, 9,1,0,48,57,2,0,69,69,101,101,2,0,43,43,45,45,4,0,10,10,13,13,34, 34,92,92,4,0,10,10,13,13,39,39,92,92,3,0,65,90,95,95,97,122,4,0, 48,57,65,90,95,95,97,122,2,0,10,10,13,13,3,0,9,10,13,13,32,32,2827, 0,1,1,0,0,0,0,3,1,0,0,0,0,5,1,0,0,0,0,7,1,0,0,0,0,9,1,0,0,0,0,11, 1,0,0,0,0,13,1,0,0,0,0,15,1,0,0,0,0,17,1,0,0,0,0,19,1,0,0,0,0,21, 1,0,0,0,0,23,1,0,0,0,0,25,1,0,0,0,0,27,1,0,0,0,0,29,1,0,0,0,0,31, 1,0,0,0,0,33,1,0,0,0,0,35,1,0,0,0,0,37,1,0,0,0,0,39,1,0,0,0,0,41, 1,0,0,0,0,43,1,0,0,0,0,45,1,0,0,0,0,47,1,0,0,0,0,49,1,0,0,0,0,51, 1,0,0,0,0,53,1,0,0,0,0,55,1,0,0,0,0,57,1,0,0,0,0,59,1,0,0,0,0,61, 1,0,0,0,0,63,1,0,0,0,0,65,1,0,0,0,0,67,1,0,0,0,0,69,1,0,0,0,0,71, 1,0,0,0,0,73,1,0,0,0,0,75,1,0,0,0,0,77,1,0,0,0,0,79,1,0,0,0,0,81, 1,0,0,0,0,83,1,0,0,0,0,85,1,0,0,0,0,87,1,0,0,0,0,89,1,0,0,0,0,91, 1,0,0,0,0,93,1,0,0,0,0,95,1,0,0,0,0,97,1,0,0,0,0,99,1,0,0,0,0,101, 1,0,0,0,0,103,1,0,0,0,0,105,1,0,0,0,0,107,1,0,0,0,0,109,1,0,0,0, 0,111,1,0,0,0,0,113,1,0,0,0,0,115,1,0,0,0,0,117,1,0,0,0,0,119,1, 0,0,0,0,121,1,0,0,0,0,123,1,0,0,0,0,125,1,0,0,0,0,127,1,0,0,0,0, 129,1,0,0,0,0,131,1,0,0,0,0,133,1,0,0,0,0,135,1,0,0,0,0,137,1,0, 0,0,0,139,1,0,0,0,0,141,1,0,0,0,0,143,1,0,0,0,0,145,1,0,0,0,0,147, 1,0,0,0,0,149,1,0,0,0,0,151,1,0,0,0,0,153,1,0,0,0,0,155,1,0,0,0, 0,157,1,0,0,0,0,159,1,0,0,0,0,161,1,0,0,0,0,163,1,0,0,0,0,165,1, 0,0,0,0,167,1,0,0,0,0,169,1,0,0,0,0,171,1,0,0,0,0,173,1,0,0,0,0, 175,1,0,0,0,0,177,1,0,0,0,0,179,1,0,0,0,0,181,1,0,0,0,0,183,1,0, 0,0,0,185,1,0,0,0,0,187,1,0,0,0,0,189,1,0,0,0,0,191,1,0,0,0,0,193, 1,0,0,0,0,195,1,0,0,0,0,197,1,0,0,0,0,199,1,0,0,0,0,201,1,0,0,0, 0,203,1,0,0,0,0,205,1,0,0,0,0,207,1,0,0,0,0,209,1,0,0,0,0,211,1, 0,0,0,0,213,1,0,0,0,0,215,1,0,0,0,0,217,1,0,0,0,0,219,1,0,0,0,0, 221,1,0,0,0,0,223,1,0,0,0,0,225,1,0,0,0,0,227,1,0,0,0,0,229,1,0, 0,0,0,231,1,0,0,0,0,233,1,0,0,0,0,235,1,0,0,0,0,237,1,0,0,0,0,239, 1,0,0,0,0,241,1,0,0,0,0,243,1,0,0,0,0,245,1,0,0,0,0,247,1,0,0,0, 0,249,1,0,0,0,0,251,1,0,0,0,0,253,1,0,0,0,0,255,1,0,0,0,0,257,1, 0,0,0,0,259,1,0,0,0,0,261,1,0,0,0,0,263,1,0,0,0,0,265,1,0,0,0,0, 267,1,0,0,0,0,269,1,0,0,0,0,271,1,0,0,0,0,273,1,0,0,0,0,275,1,0, 0,0,0,277,1,0,0,0,0,279,1,0,0,0,0,281,1,0,0,0,0,283,1,0,0,0,0,285, 1,0,0,0,0,287,1,0,0,0,0,289,1,0,0,0,0,291,1,0,0,0,0,293,1,0,0,0, 0,295,1,0,0,0,0,297,1,0,0,0,0,299,1,0,0,0,0,301,1,0,0,0,0,303,1, 0,0,0,0,305,1,0,0,0,0,307,1,0,0,0,0,309,1,0,0,0,0,311,1,0,0,0,0, 313,1,0,0,0,0,315,1,0,0,0,0,317,1,0,0,0,0,319,1,0,0,0,0,321,1,0, 0,0,0,323,1,0,0,0,0,325,1,0,0,0,0,327,1,0,0,0,0,329,1,0,0,0,0,331, 1,0,0,0,0,333,1,0,0,0,0,335,1,0,0,0,0,337,1,0,0,0,0,339,1,0,0,0, 0,341,1,0,0,0,0,343,1,0,0,0,0,345,1,0,0,0,0,347,1,0,0,0,0,349,1, 0,0,0,0,351,1,0,0,0,0,353,1,0,0,0,0,355,1,0,0,0,0,357,1,0,0,0,0, 359,1,0,0,0,0,361,1,0,0,0,0,363,1,0,0,0,0,365,1,0,0,0,0,367,1,0, 0,0,0,369,1,0,0,0,0,371,1,0,0,0,0,373,1,0,0,0,0,375,1,0,0,0,0,377, 1,0,0,0,0,379,1,0,0,0,0,381,1,0,0,0,0,383,1,0,0,0,0,385,1,0,0,0, 0,387,1,0,0,0,0,389,1,0,0,0,0,391,1,0,0,0,0,393,1,0,0,0,0,395,1, 0,0,0,0,397,1,0,0,0,0,399,1,0,0,0,0,401,1,0,0,0,0,403,1,0,0,0,0, 405,1,0,0,0,0,407,1,0,0,0,0,409,1,0,0,0,0,411,1,0,0,0,0,413,1,0, 0,0,0,415,1,0,0,0,0,417,1,0,0,0,0,419,1,0,0,0,0,421,1,0,0,0,0,423, 1,0,0,0,0,425,1,0,0,0,0,427,1,0,0,0,0,429,1,0,0,0,0,431,1,0,0,0, 0,433,1,0,0,0,0,435,1,0,0,0,0,437,1,0,0,0,0,439,1,0,0,0,0,441,1, 0,0,0,0,443,1,0,0,0,0,445,1,0,0,0,0,447,1,0,0,0,0,449,1,0,0,0,0, 451,1,0,0,0,0,453,1,0,0,0,0,455,1,0,0,0,0,457,1,0,0,0,0,459,1,0, 0,0,0,461,1,0,0,0,1,463,1,0,0,0,3,467,1,0,0,0,5,471,1,0,0,0,7,475, 1,0,0,0,9,480,1,0,0,0,11,485,1,0,0,0,13,490,1,0,0,0,15,496,1,0,0, 0,17,501,1,0,0,0,19,506,1,0,0,0,21,511,1,0,0,0,23,517,1,0,0,0,25, 523,1,0,0,0,27,529,1,0,0,0,29,533,1,0,0,0,31,538,1,0,0,0,33,541, 1,0,0,0,35,545,1,0,0,0,37,549,1,0,0,0,39,554,1,0,0,0,41,559,1,0, 0,0,43,564,1,0,0,0,45,569,1,0,0,0,47,575,1,0,0,0,49,581,1,0,0,0, 51,587,1,0,0,0,53,592,1,0,0,0,55,598,1,0,0,0,57,604,1,0,0,0,59,608, 1,0,0,0,61,613,1,0,0,0,63,619,1,0,0,0,65,623,1,0,0,0,67,628,1,0, 0,0,69,634,1,0,0,0,71,655,1,0,0,0,73,670,1,0,0,0,75,672,1,0,0,0, 77,677,1,0,0,0,79,682,1,0,0,0,81,693,1,0,0,0,83,699,1,0,0,0,85,704, 1,0,0,0,87,713,1,0,0,0,89,718,1,0,0,0,91,723,1,0,0,0,93,746,1,0, 0,0,95,763,1,0,0,0,97,765,1,0,0,0,99,781,1,0,0,0,101,794,1,0,0,0, 103,796,1,0,0,0,105,802,1,0,0,0,107,811,1,0,0,0,109,820,1,0,0,0, 111,825,1,0,0,0,113,830,1,0,0,0,115,835,1,0,0,0,117,839,1,0,0,0, 119,844,1,0,0,0,121,848,1,0,0,0,123,867,1,0,0,0,125,884,1,0,0,0, 127,886,1,0,0,0,129,895,1,0,0,0,131,899,1,0,0,0,133,906,1,0,0,0, 135,910,1,0,0,0,137,917,1,0,0,0,139,921,1,0,0,0,141,925,1,0,0,0, 143,942,1,0,0,0,145,944,1,0,0,0,147,951,1,0,0,0,149,956,1,0,0,0, 151,963,1,0,0,0,153,991,1,0,0,0,155,1013,1,0,0,0,157,1030,1,0,0, 0,159,1051,1,0,0,0,161,1066,1,0,0,0,163,1068,1,0,0,0,165,1093,1, 0,0,0,167,1095,1,0,0,0,169,1124,1,0,0,0,171,1140,1,0,0,0,173,1142, 1,0,0,0,175,1149,1,0,0,0,177,1157,1,0,0,0,179,1164,1,0,0,0,181,1174, 1,0,0,0,183,1211,1,0,0,0,185,1213,1,0,0,0,187,1225,1,0,0,0,189,1261, 1,0,0,0,191,1281,1,0,0,0,193,1283,1,0,0,0,195,1302,1,0,0,0,197,1304, 1,0,0,0,199,1312,1,0,0,0,201,1316,1,0,0,0,203,1322,1,0,0,0,205,1329, 1,0,0,0,207,1349,1,0,0,0,209,1373,1,0,0,0,211,1375,1,0,0,0,213,1396, 1,0,0,0,215,1413,1,0,0,0,217,1428,1,0,0,0,219,1430,1,0,0,0,221,1437, 1,0,0,0,223,1448,1,0,0,0,225,1458,1,0,0,0,227,1470,1,0,0,0,229,1480, 1,0,0,0,231,1510,1,0,0,0,233,1512,1,0,0,0,235,1516,1,0,0,0,237,1522, 1,0,0,0,239,1528,1,0,0,0,241,1534,1,0,0,0,243,1539,1,0,0,0,245,1545, 1,0,0,0,247,1565,1,0,0,0,249,1567,1,0,0,0,251,1572,1,0,0,0,253,1580, 1,0,0,0,255,1587,1,0,0,0,257,1593,1,0,0,0,259,1604,1,0,0,0,261,1616, 1,0,0,0,263,1629,1,0,0,0,265,1643,1,0,0,0,267,1656,1,0,0,0,269,1670, 1,0,0,0,271,1681,1,0,0,0,273,1692,1,0,0,0,275,1703,1,0,0,0,277,1714, 1,0,0,0,279,1733,1,0,0,0,281,1794,1,0,0,0,283,1796,1,0,0,0,285,1807, 1,0,0,0,287,1855,1,0,0,0,289,1876,1,0,0,0,291,1878,1,0,0,0,293,1881, 1,0,0,0,295,1886,1,0,0,0,297,1892,1,0,0,0,299,1896,1,0,0,0,301,1899, 1,0,0,0,303,1905,1,0,0,0,305,1914,1,0,0,0,307,1933,1,0,0,0,309,1935, 1,0,0,0,311,1940,1,0,0,0,313,1948,1,0,0,0,315,1955,1,0,0,0,317,1962, 1,0,0,0,319,1970,1,0,0,0,321,1978,1,0,0,0,323,1985,1,0,0,0,325,1990, 1,0,0,0,327,2001,1,0,0,0,329,2010,1,0,0,0,331,2018,1,0,0,0,333,2028, 1,0,0,0,335,2033,1,0,0,0,337,2052,1,0,0,0,339,2054,1,0,0,0,341,2062, 1,0,0,0,343,2083,1,0,0,0,345,2102,1,0,0,0,347,2127,1,0,0,0,349,2152, 1,0,0,0,351,2172,1,0,0,0,353,2197,1,0,0,0,355,2222,1,0,0,0,357,2245, 1,0,0,0,359,2266,1,0,0,0,361,2285,1,0,0,0,363,2306,1,0,0,0,365,2327, 1,0,0,0,367,2352,1,0,0,0,369,2373,1,0,0,0,371,2394,1,0,0,0,373,2416, 1,0,0,0,375,2436,1,0,0,0,377,2486,1,0,0,0,379,2516,1,0,0,0,381,2536, 1,0,0,0,383,2566,1,0,0,0,385,2568,1,0,0,0,387,2570,1,0,0,0,389,2572, 1,0,0,0,391,2574,1,0,0,0,393,2576,1,0,0,0,395,2578,1,0,0,0,397,2580, 1,0,0,0,399,2583,1,0,0,0,401,2586,1,0,0,0,403,2589,1,0,0,0,405,2591, 1,0,0,0,407,2594,1,0,0,0,409,2596,1,0,0,0,411,2599,1,0,0,0,413,2601, 1,0,0,0,415,2604,1,0,0,0,417,2607,1,0,0,0,419,2610,1,0,0,0,421,2613, 1,0,0,0,423,2616,1,0,0,0,425,2619,1,0,0,0,427,2621,1,0,0,0,429,2623, 1,0,0,0,431,2625,1,0,0,0,433,2627,1,0,0,0,435,2629,1,0,0,0,437,2632, 1,0,0,0,439,2634,1,0,0,0,441,2636,1,0,0,0,443,2638,1,0,0,0,445,2640, 1,0,0,0,447,2642,1,0,0,0,449,2664,1,0,0,0,451,2682,1,0,0,0,453,2704, 1,0,0,0,455,2706,1,0,0,0,457,2713,1,0,0,0,459,2722,1,0,0,0,461,2737, 1,0,0,0,463,464,5,115,0,0,464,465,5,105,0,0,465,466,5,110,0,0,466, 2,1,0,0,0,467,468,5,99,0,0,468,469,5,111,0,0,469,470,5,115,0,0,470, 4,1,0,0,0,471,472,5,116,0,0,472,473,5,97,0,0,473,474,5,110,0,0,474, 6,1,0,0,0,475,476,5,97,0,0,476,477,5,115,0,0,477,478,5,105,0,0,478, 479,5,110,0,0,479,8,1,0,0,0,480,481,5,97,0,0,481,482,5,99,0,0,482, 483,5,111,0,0,483,484,5,115,0,0,484,10,1,0,0,0,485,486,5,97,0,0, 486,487,5,116,0,0,487,488,5,97,0,0,488,489,5,110,0,0,489,12,1,0, 0,0,490,491,5,97,0,0,491,492,5,116,0,0,492,493,5,97,0,0,493,494, 5,110,0,0,494,495,5,50,0,0,495,14,1,0,0,0,496,497,5,115,0,0,497, 498,5,105,0,0,498,499,5,110,0,0,499,500,5,104,0,0,500,16,1,0,0,0, 501,502,5,99,0,0,502,503,5,111,0,0,503,504,5,115,0,0,504,505,5,104, 0,0,505,18,1,0,0,0,506,507,5,116,0,0,507,508,5,97,0,0,508,509,5, 110,0,0,509,510,5,104,0,0,510,20,1,0,0,0,511,512,5,97,0,0,512,513, 5,115,0,0,513,514,5,105,0,0,514,515,5,110,0,0,515,516,5,104,0,0, 516,22,1,0,0,0,517,518,5,97,0,0,518,519,5,99,0,0,519,520,5,111,0, 0,520,521,5,115,0,0,521,522,5,104,0,0,522,24,1,0,0,0,523,524,5,97, 0,0,524,525,5,116,0,0,525,526,5,97,0,0,526,527,5,110,0,0,527,528, 5,104,0,0,528,26,1,0,0,0,529,530,5,97,0,0,530,531,5,98,0,0,531,532, 5,115,0,0,532,28,1,0,0,0,533,534,5,115,0,0,534,535,5,113,0,0,535, 536,5,114,0,0,536,537,5,116,0,0,537,30,1,0,0,0,538,539,5,108,0,0, 539,540,5,110,0,0,540,32,1,0,0,0,541,542,5,108,0,0,542,543,5,111, 0,0,543,544,5,103,0,0,544,34,1,0,0,0,545,546,5,101,0,0,546,547,5, 120,0,0,547,548,5,112,0,0,548,36,1,0,0,0,549,550,5,115,0,0,550,551, 5,109,0,0,551,552,5,105,0,0,552,553,5,110,0,0,553,38,1,0,0,0,554, 555,5,115,0,0,555,556,5,109,0,0,556,557,5,97,0,0,557,558,5,120,0, 0,558,40,1,0,0,0,559,560,5,116,0,0,560,561,5,109,0,0,561,562,5,105, 0,0,562,563,5,110,0,0,563,42,1,0,0,0,564,565,5,116,0,0,565,566,5, 109,0,0,566,567,5,97,0,0,567,568,5,120,0,0,568,44,1,0,0,0,569,570, 5,116,0,0,570,571,5,110,0,0,571,572,5,111,0,0,572,573,5,114,0,0, 573,574,5,109,0,0,574,46,1,0,0,0,575,576,5,115,0,0,576,577,5,110, 0,0,577,578,5,111,0,0,578,579,5,114,0,0,579,580,5,109,0,0,580,48, 1,0,0,0,581,582,5,102,0,0,582,583,5,108,0,0,583,584,5,111,0,0,584, 585,5,111,0,0,585,586,5,114,0,0,586,50,1,0,0,0,587,588,5,99,0,0, 588,589,5,101,0,0,589,590,5,105,0,0,590,591,5,108,0,0,591,52,1,0, 0,0,592,593,5,114,0,0,593,594,5,111,0,0,594,595,5,117,0,0,595,596, 5,110,0,0,596,597,5,100,0,0,597,54,1,0,0,0,598,599,5,103,0,0,599, 600,5,97,0,0,600,601,5,109,0,0,601,602,5,109,0,0,602,603,5,97,0, 0,603,56,1,0,0,0,604,605,5,112,0,0,605,606,5,111,0,0,606,607,5,119, 0,0,607,58,1,0,0,0,608,609,5,115,0,0,609,610,5,105,0,0,610,611,5, 103,0,0,611,612,5,109,0,0,612,60,1,0,0,0,613,614,5,99,0,0,614,615, 5,108,0,0,615,616,5,97,0,0,616,617,5,109,0,0,617,618,5,112,0,0,618, 62,1,0,0,0,619,620,5,102,0,0,620,621,5,102,0,0,621,622,5,116,0,0, 622,64,1,0,0,0,623,624,5,105,0,0,624,625,5,102,0,0,625,626,5,102, 0,0,626,627,5,116,0,0,627,66,1,0,0,0,628,629,5,97,0,0,629,630,5, 110,0,0,630,631,5,103,0,0,631,632,5,108,0,0,632,633,5,101,0,0,633, 68,1,0,0,0,634,635,5,112,0,0,635,636,5,114,0,0,636,637,5,105,0,0, 637,638,5,110,0,0,638,639,5,116,0,0,639,70,1,0,0,0,640,641,5,112, 0,0,641,642,5,114,0,0,642,643,5,105,0,0,643,644,5,110,0,0,644,645, 5,116,0,0,645,646,5,95,0,0,646,647,5,115,0,0,647,648,5,104,0,0,648, 649,5,97,0,0,649,650,5,112,0,0,650,656,5,101,0,0,651,652,5,112,0, 0,652,653,5,115,0,0,653,654,5,104,0,0,654,656,5,112,0,0,655,640, 1,0,0,0,655,651,1,0,0,0,656,72,1,0,0,0,657,658,5,110,0,0,658,659, 5,118,0,0,659,671,5,108,0,0,660,661,5,110,0,0,661,662,5,97,0,0,662, 663,5,110,0,0,663,664,5,95,0,0,664,665,5,116,0,0,665,666,5,111,0, 0,666,667,5,95,0,0,667,668,5,110,0,0,668,669,5,117,0,0,669,671,5, 109,0,0,670,657,1,0,0,0,670,660,1,0,0,0,671,74,1,0,0,0,672,673,5, 108,0,0,673,674,5,101,0,0,674,675,5,114,0,0,675,676,5,112,0,0,676, 76,1,0,0,0,677,678,5,115,0,0,678,679,5,116,0,0,679,680,5,101,0,0, 680,681,5,112,0,0,681,78,1,0,0,0,682,683,5,115,0,0,683,684,5,109, 0,0,684,685,5,111,0,0,685,686,5,111,0,0,686,687,5,116,0,0,687,688, 5,104,0,0,688,689,5,115,0,0,689,690,5,116,0,0,690,691,5,101,0,0, 691,692,5,112,0,0,692,80,1,0,0,0,693,694,5,102,0,0,694,695,5,114, 0,0,695,696,5,97,0,0,696,697,5,99,0,0,697,698,5,116,0,0,698,82,1, 0,0,0,699,700,5,114,0,0,700,701,5,101,0,0,701,702,5,108,0,0,702, 703,5,117,0,0,703,84,1,0,0,0,704,705,5,115,0,0,705,706,5,111,0,0, 706,707,5,102,0,0,707,708,5,116,0,0,708,709,5,112,0,0,709,710,5, 108,0,0,710,711,5,117,0,0,711,712,5,115,0,0,712,86,1,0,0,0,713,714, 5,103,0,0,714,715,5,101,0,0,715,716,5,108,0,0,716,717,5,117,0,0, 717,88,1,0,0,0,718,719,5,115,0,0,719,720,5,105,0,0,720,721,5,103, 0,0,721,722,5,110,0,0,722,90,1,0,0,0,723,724,5,109,0,0,724,725,5, 97,0,0,725,726,5,112,0,0,726,92,1,0,0,0,727,728,5,101,0,0,728,729, 5,122,0,0,729,730,5,99,0,0,730,731,5,111,0,0,731,732,5,110,0,0,732, 733,5,118,0,0,733,734,5,111,0,0,734,735,5,108,0,0,735,736,5,117, 0,0,736,737,5,116,0,0,737,738,5,105,0,0,738,739,5,111,0,0,739,747, 5,110,0,0,740,741,5,101,0,0,741,742,5,122,0,0,742,743,5,99,0,0,743, 744,5,111,0,0,744,745,5,110,0,0,745,747,5,118,0,0,746,727,1,0,0, 0,746,740,1,0,0,0,747,94,1,0,0,0,748,749,5,99,0,0,749,750,5,111, 0,0,750,751,5,110,0,0,751,752,5,118,0,0,752,753,5,111,0,0,753,754, 5,108,0,0,754,755,5,117,0,0,755,756,5,116,0,0,756,757,5,105,0,0, 757,758,5,111,0,0,758,764,5,110,0,0,759,760,5,99,0,0,760,761,5,111, 0,0,761,762,5,110,0,0,762,764,5,118,0,0,763,748,1,0,0,0,763,759, 1,0,0,0,764,96,1,0,0,0,765,766,5,115,0,0,766,767,5,119,0,0,767,768, 5,97,0,0,768,769,5,112,0,0,769,98,1,0,0,0,770,771,5,112,0,0,771, 772,5,101,0,0,772,773,5,114,0,0,773,774,5,109,0,0,774,775,5,117, 0,0,775,776,5,116,0,0,776,782,5,101,0,0,777,778,5,112,0,0,778,779, 5,101,0,0,779,780,5,114,0,0,780,782,5,109,0,0,781,770,1,0,0,0,781, 777,1,0,0,0,782,100,1,0,0,0,783,784,5,114,0,0,784,785,5,101,0,0, 785,786,5,115,0,0,786,787,5,104,0,0,787,788,5,97,0,0,788,789,5,112, 0,0,789,795,5,101,0,0,790,791,5,114,0,0,791,792,5,115,0,0,792,793, 5,104,0,0,793,795,5,112,0,0,794,783,1,0,0,0,794,790,1,0,0,0,795, 102,1,0,0,0,796,797,5,114,0,0,797,798,5,97,0,0,798,799,5,110,0,0, 799,800,5,103,0,0,800,801,5,101,0,0,801,104,1,0,0,0,802,803,5,108, 0,0,803,804,5,105,0,0,804,805,5,110,0,0,805,806,5,115,0,0,806,807, 5,112,0,0,807,808,5,97,0,0,808,809,5,99,0,0,809,810,5,101,0,0,810, 106,1,0,0,0,811,812,5,108,0,0,812,813,5,111,0,0,813,814,5,103,0, 0,814,815,5,115,0,0,815,816,5,112,0,0,816,817,5,97,0,0,817,818,5, 99,0,0,818,819,5,101,0,0,819,108,1,0,0,0,820,821,5,116,0,0,821,822, 5,111,0,0,822,823,5,112,0,0,823,824,5,107,0,0,824,110,1,0,0,0,825, 826,5,98,0,0,826,827,5,111,0,0,827,828,5,116,0,0,828,829,5,107,0, 0,829,112,1,0,0,0,830,831,5,112,0,0,831,832,5,105,0,0,832,833,5, 110,0,0,833,834,5,118,0,0,834,114,1,0,0,0,835,836,5,115,0,0,836, 837,5,117,0,0,837,838,5,109,0,0,838,116,1,0,0,0,839,840,5,109,0, 0,840,841,5,101,0,0,841,842,5,97,0,0,842,843,5,110,0,0,843,118,1, 0,0,0,844,845,5,115,0,0,845,846,5,116,0,0,846,847,5,100,0,0,847, 120,1,0,0,0,848,849,5,118,0,0,849,850,5,97,0,0,850,851,5,114,0,0, 851,122,1,0,0,0,852,853,5,113,0,0,853,854,5,117,0,0,854,855,5,97, 0,0,855,856,5,114,0,0,856,857,5,116,0,0,857,858,5,105,0,0,858,859, 5,108,0,0,859,868,5,101,0,0,860,861,5,113,0,0,861,862,5,117,0,0, 862,863,5,97,0,0,863,864,5,114,0,0,864,865,5,116,0,0,865,866,5,105, 0,0,866,868,5,108,0,0,867,852,1,0,0,0,867,860,1,0,0,0,868,124,1, 0,0,0,869,870,5,112,0,0,870,871,5,101,0,0,871,872,5,114,0,0,872, 873,5,99,0,0,873,874,5,101,0,0,874,875,5,110,0,0,875,876,5,116,0, 0,876,877,5,105,0,0,877,878,5,108,0,0,878,885,5,101,0,0,879,880, 5,112,0,0,880,881,5,114,0,0,881,882,5,99,0,0,882,883,5,110,0,0,883, 885,5,116,0,0,884,869,1,0,0,0,884,879,1,0,0,0,885,126,1,0,0,0,886, 887,5,113,0,0,887,888,5,117,0,0,888,889,5,97,0,0,889,890,5,110,0, 0,890,891,5,116,0,0,891,892,5,105,0,0,892,893,5,108,0,0,893,894, 5,101,0,0,894,128,1,0,0,0,895,896,5,100,0,0,896,897,5,111,0,0,897, 898,5,116,0,0,898,130,1,0,0,0,899,900,5,109,0,0,900,901,5,111,0, 0,901,902,5,109,0,0,902,903,5,101,0,0,903,904,5,110,0,0,904,905, 5,116,0,0,905,132,1,0,0,0,906,907,5,101,0,0,907,908,5,114,0,0,908, 909,5,102,0,0,909,134,1,0,0,0,910,911,5,101,0,0,911,912,5,114,0, 0,912,913,5,102,0,0,913,914,5,105,0,0,914,915,5,110,0,0,915,916, 5,118,0,0,916,136,1,0,0,0,917,918,5,97,0,0,918,919,5,110,0,0,919, 920,5,121,0,0,920,138,1,0,0,0,921,922,5,97,0,0,922,923,5,108,0,0, 923,924,5,108,0,0,924,140,1,0,0,0,925,926,5,101,0,0,926,927,5,100, 0,0,927,928,5,103,0,0,928,929,5,101,0,0,929,142,1,0,0,0,930,931, 5,98,0,0,931,932,5,108,0,0,932,933,5,117,0,0,933,943,5,114,0,0,934, 935,5,103,0,0,935,936,5,97,0,0,936,937,5,117,0,0,937,938,5,115,0, 0,938,939,5,115,0,0,939,940,5,105,0,0,940,941,5,97,0,0,941,943,5, 110,0,0,942,930,1,0,0,0,942,934,1,0,0,0,943,144,1,0,0,0,944,945, 5,109,0,0,945,946,5,101,0,0,946,947,5,100,0,0,947,948,5,105,0,0, 948,949,5,97,0,0,949,950,5,110,0,0,950,146,1,0,0,0,951,952,5,109, 0,0,952,953,5,111,0,0,953,954,5,100,0,0,954,955,5,101,0,0,955,148, 1,0,0,0,956,957,5,99,0,0,957,958,5,117,0,0,958,959,5,109,0,0,959, 960,5,115,0,0,960,961,5,117,0,0,961,962,5,109,0,0,962,150,1,0,0, 0,963,964,5,99,0,0,964,965,5,117,0,0,965,966,5,109,0,0,966,967,5, 112,0,0,967,968,5,114,0,0,968,969,5,111,0,0,969,970,5,100,0,0,970, 152,1,0,0,0,971,972,5,116,0,0,972,973,5,111,0,0,973,974,5,112,0, 0,974,975,5,107,0,0,975,976,5,95,0,0,976,977,5,105,0,0,977,978,5, 110,0,0,978,992,5,100,0,0,979,980,5,116,0,0,980,981,5,111,0,0,981, 982,5,112,0,0,982,983,5,107,0,0,983,984,5,95,0,0,984,985,5,105,0, 0,985,986,5,110,0,0,986,987,5,100,0,0,987,988,5,105,0,0,988,989, 5,99,0,0,989,990,5,101,0,0,990,992,5,115,0,0,991,971,1,0,0,0,991, 979,1,0,0,0,992,154,1,0,0,0,993,994,5,98,0,0,994,995,5,111,0,0,995, 996,5,116,0,0,996,997,5,107,0,0,997,998,5,95,0,0,998,999,5,105,0, 0,999,1000,5,110,0,0,1000,1014,5,100,0,0,1001,1002,5,98,0,0,1002, 1003,5,111,0,0,1003,1004,5,116,0,0,1004,1005,5,107,0,0,1005,1006, 5,95,0,0,1006,1007,5,105,0,0,1007,1008,5,110,0,0,1008,1009,5,100, 0,0,1009,1010,5,105,0,0,1010,1011,5,99,0,0,1011,1012,5,101,0,0,1012, 1014,5,115,0,0,1013,993,1,0,0,0,1013,1001,1,0,0,0,1014,156,1,0,0, 0,1015,1016,5,99,0,0,1016,1017,5,117,0,0,1017,1018,5,98,0,0,1018, 1019,5,105,0,0,1019,1020,5,99,0,0,1020,1021,5,95,0,0,1021,1022,5, 101,0,0,1022,1023,5,97,0,0,1023,1024,5,115,0,0,1024,1031,5,101,0, 0,1025,1026,5,99,0,0,1026,1027,5,117,0,0,1027,1028,5,98,0,0,1028, 1029,5,105,0,0,1029,1031,5,99,0,0,1030,1015,1,0,0,0,1030,1025,1, 0,0,0,1031,158,1,0,0,0,1032,1033,5,101,0,0,1033,1034,5,108,0,0,1034, 1035,5,97,0,0,1035,1036,5,115,0,0,1036,1037,5,116,0,0,1037,1038, 5,105,0,0,1038,1039,5,99,0,0,1039,1040,5,95,0,0,1040,1041,5,101, 0,0,1041,1042,5,97,0,0,1042,1043,5,115,0,0,1043,1052,5,101,0,0,1044, 1045,5,101,0,0,1045,1046,5,108,0,0,1046,1047,5,97,0,0,1047,1048, 5,115,0,0,1048,1049,5,116,0,0,1049,1050,5,105,0,0,1050,1052,5,99, 0,0,1051,1032,1,0,0,0,1051,1044,1,0,0,0,1052,160,1,0,0,0,1053,1054, 5,115,0,0,1054,1055,5,105,0,0,1055,1056,5,110,0,0,1056,1057,5,101, 0,0,1057,1058,5,95,0,0,1058,1059,5,101,0,0,1059,1060,5,97,0,0,1060, 1061,5,115,0,0,1061,1067,5,101,0,0,1062,1063,5,115,0,0,1063,1064, 5,105,0,0,1064,1065,5,110,0,0,1065,1067,5,101,0,0,1066,1053,1,0, 0,0,1066,1062,1,0,0,0,1067,162,1,0,0,0,1068,1069,5,115,0,0,1069, 1070,5,109,0,0,1070,1071,5,111,0,0,1071,1072,5,111,0,0,1072,1073, 5,116,0,0,1073,1074,5,104,0,0,1074,1075,5,101,0,0,1075,1076,5,114, 0,0,1076,1077,5,115,0,0,1077,1078,5,116,0,0,1078,1079,5,101,0,0, 1079,1080,5,112,0,0,1080,164,1,0,0,0,1081,1082,5,100,0,0,1082,1083, 5,105,0,0,1083,1084,5,115,0,0,1084,1094,5,116,0,0,1085,1086,5,100, 0,0,1086,1087,5,105,0,0,1087,1088,5,115,0,0,1088,1089,5,116,0,0, 1089,1090,5,97,0,0,1090,1091,5,110,0,0,1091,1092,5,99,0,0,1092,1094, 5,101,0,0,1093,1081,1,0,0,0,1093,1085,1,0,0,0,1094,166,1,0,0,0,1095, 1096,5,114,0,0,1096,1097,5,101,0,0,1097,1098,5,109,0,0,1098,1099, 5,97,0,0,1099,1100,5,112,0,0,1100,168,1,0,0,0,1101,1102,5,99,0,0, 1102,1103,5,111,0,0,1103,1104,5,115,0,0,1104,1105,5,115,0,0,1105, 1106,5,105,0,0,1106,1125,5,109,0,0,1107,1108,5,99,0,0,1108,1109, 5,111,0,0,1109,1110,5,115,0,0,1110,1111,5,105,0,0,1111,1112,5,110, 0,0,1112,1113,5,101,0,0,1113,1114,5,95,0,0,1114,1115,5,115,0,0,1115, 1116,5,105,0,0,1116,1117,5,109,0,0,1117,1118,5,105,0,0,1118,1119, 5,108,0,0,1119,1120,5,97,0,0,1120,1121,5,114,0,0,1121,1122,5,105, 0,0,1122,1123,5,116,0,0,1123,1125,5,121,0,0,1124,1101,1,0,0,0,1124, 1107,1,0,0,0,1125,170,1,0,0,0,1126,1127,5,99,0,0,1127,1128,5,111, 0,0,1128,1129,5,117,0,0,1129,1130,5,110,0,0,1130,1141,5,116,0,0, 1131,1132,5,99,0,0,1132,1133,5,110,0,0,1133,1141,5,116,0,0,1134, 1135,5,108,0,0,1135,1136,5,101,0,0,1136,1137,5,110,0,0,1137,1138, 5,103,0,0,1138,1139,5,116,0,0,1139,1141,5,104,0,0,1140,1126,1,0, 0,0,1140,1131,1,0,0,0,1140,1134,1,0,0,0,1141,172,1,0,0,0,1142,1143, 5,114,0,0,1143,1144,5,101,0,0,1144,1145,5,112,0,0,1145,1146,5,101, 0,0,1146,1147,5,97,0,0,1147,1148,5,116,0,0,1148,174,1,0,0,0,1149, 1150,5,102,0,0,1150,1151,5,108,0,0,1151,1152,5,97,0,0,1152,1153, 5,116,0,0,1153,1154,5,116,0,0,1154,1155,5,101,0,0,1155,1156,5,110, 0,0,1156,176,1,0,0,0,1157,1158,5,97,0,0,1158,1159,5,112,0,0,1159, 1160,5,112,0,0,1160,1161,5,101,0,0,1161,1162,5,110,0,0,1162,1163, 5,100,0,0,1163,178,1,0,0,0,1164,1165,5,103,0,0,1165,1166,5,101,0, 0,1166,1167,5,116,0,0,1167,1168,5,95,0,0,1168,1169,5,118,0,0,1169, 1170,5,97,0,0,1170,1171,5,108,0,0,1171,1172,5,117,0,0,1172,1173, 5,101,0,0,1173,180,1,0,0,0,1174,1175,5,102,0,0,1175,1176,5,108,0, 0,1176,1177,5,111,0,0,1177,1178,5,119,0,0,1178,1179,5,95,0,0,1179, 1180,5,97,0,0,1180,1181,5,112,0,0,1181,1182,5,112,0,0,1182,1183, 5,108,0,0,1183,1184,5,121,0,0,1184,182,1,0,0,0,1185,1186,5,98,0, 0,1186,1187,5,97,0,0,1187,1188,5,116,0,0,1188,1189,5,99,0,0,1189, 1190,5,104,0,0,1190,1191,5,95,0,0,1191,1192,5,115,0,0,1192,1193, 5,104,0,0,1193,1194,5,117,0,0,1194,1195,5,102,0,0,1195,1196,5,102, 0,0,1196,1197,5,108,0,0,1197,1212,5,101,0,0,1198,1199,5,115,0,0, 1199,1200,5,104,0,0,1200,1201,5,117,0,0,1201,1202,5,102,0,0,1202, 1203,5,102,0,0,1203,1204,5,108,0,0,1204,1212,5,101,0,0,1205,1206, 5,115,0,0,1206,1207,5,101,0,0,1207,1208,5,108,0,0,1208,1209,5,101, 0,0,1209,1210,5,99,0,0,1210,1212,5,116,0,0,1211,1185,1,0,0,0,1211, 1198,1,0,0,0,1211,1205,1,0,0,0,1212,184,1,0,0,0,1213,1214,5,109, 0,0,1214,1215,5,111,0,0,1215,1216,5,116,0,0,1216,1217,5,105,0,0, 1217,1218,5,111,0,0,1218,1219,5,110,0,0,1219,1220,5,95,0,0,1220, 1221,5,109,0,0,1221,1222,5,97,0,0,1222,1223,5,115,0,0,1223,1224, 5,107,0,0,1224,186,1,0,0,0,1225,1226,5,102,0,0,1226,1227,5,108,0, 0,1227,1228,5,111,0,0,1228,1229,5,119,0,0,1229,1230,5,95,0,0,1230, 1231,5,116,0,0,1231,1232,5,111,0,0,1232,1233,5,95,0,0,1233,1234, 5,105,0,0,1234,1235,5,109,0,0,1235,1236,5,97,0,0,1236,1237,5,103, 0,0,1237,1238,5,101,0,0,1238,188,1,0,0,0,1239,1240,5,102,0,0,1240, 1241,5,108,0,0,1241,1242,5,111,0,0,1242,1243,5,119,0,0,1243,1244, 5,95,0,0,1244,1245,5,109,0,0,1245,1246,5,97,0,0,1246,1262,5,103, 0,0,1247,1248,5,102,0,0,1248,1249,5,108,0,0,1249,1250,5,111,0,0, 1250,1251,5,119,0,0,1251,1252,5,95,0,0,1252,1253,5,109,0,0,1253, 1254,5,97,0,0,1254,1255,5,103,0,0,1255,1256,5,110,0,0,1256,1257, 5,105,0,0,1257,1258,5,116,0,0,1258,1259,5,117,0,0,1259,1260,5,100, 0,0,1260,1262,5,101,0,0,1261,1239,1,0,0,0,1261,1247,1,0,0,0,1262, 190,1,0,0,0,1263,1264,5,102,0,0,1264,1265,5,108,0,0,1265,1266,5, 111,0,0,1266,1267,5,119,0,0,1267,1268,5,95,0,0,1268,1269,5,97,0, 0,1269,1270,5,110,0,0,1270,1282,5,103,0,0,1271,1272,5,102,0,0,1272, 1273,5,108,0,0,1273,1274,5,111,0,0,1274,1275,5,119,0,0,1275,1276, 5,95,0,0,1276,1277,5,97,0,0,1277,1278,5,110,0,0,1278,1279,5,103, 0,0,1279,1280,5,108,0,0,1280,1282,5,101,0,0,1281,1263,1,0,0,0,1281, 1271,1,0,0,0,1282,192,1,0,0,0,1283,1284,5,119,0,0,1284,1285,5,104, 0,0,1285,1286,5,101,0,0,1286,1287,5,114,0,0,1287,1288,5,101,0,0, 1288,194,1,0,0,0,1289,1290,5,104,0,0,1290,1291,5,105,0,0,1291,1292, 5,115,0,0,1292,1293,5,116,0,0,1293,1294,5,111,0,0,1294,1295,5,103, 0,0,1295,1296,5,114,0,0,1296,1297,5,97,0,0,1297,1303,5,109,0,0,1298, 1299,5,104,0,0,1299,1300,5,105,0,0,1300,1301,5,115,0,0,1301,1303, 5,116,0,0,1302,1289,1,0,0,0,1302,1298,1,0,0,0,1303,196,1,0,0,0,1304, 1305,5,111,0,0,1305,1306,5,118,0,0,1306,1307,5,101,0,0,1307,1308, 5,114,0,0,1308,1309,5,108,0,0,1309,1310,5,97,0,0,1310,1311,5,121, 0,0,1311,198,1,0,0,0,1312,1313,5,112,0,0,1313,1314,5,97,0,0,1314, 1315,5,100,0,0,1315,200,1,0,0,0,1316,1317,5,99,0,0,1317,1318,5,114, 0,0,1318,1319,5,111,0,0,1319,1320,5,115,0,0,1320,1321,5,115,0,0, 1321,202,1,0,0,0,1322,1323,5,109,0,0,1323,1324,5,97,0,0,1324,1325, 5,116,0,0,1325,1326,5,109,0,0,1326,1327,5,117,0,0,1327,1328,5,108, 0,0,1328,204,1,0,0,0,1329,1330,5,114,0,0,1330,1331,5,105,0,0,1331, 1332,5,102,0,0,1332,1333,5,101,0,0,1333,206,1,0,0,0,1334,1335,5, 98,0,0,1335,1336,5,110,0,0,1336,1337,5,111,0,0,1337,1350,5,116,0, 0,1338,1339,5,98,0,0,1339,1340,5,105,0,0,1340,1341,5,116,0,0,1341, 1342,5,119,0,0,1342,1343,5,105,0,0,1343,1344,5,115,0,0,1344,1345, 5,101,0,0,1345,1346,5,95,0,0,1346,1347,5,110,0,0,1347,1348,5,111, 0,0,1348,1350,5,116,0,0,1349,1334,1,0,0,0,1349,1338,1,0,0,0,1350, 208,1,0,0,0,1351,1352,5,98,0,0,1352,1353,5,105,0,0,1353,1354,5,116, 0,0,1354,1355,5,99,0,0,1355,1356,5,111,0,0,1356,1357,5,117,0,0,1357, 1358,5,110,0,0,1358,1374,5,116,0,0,1359,1360,5,112,0,0,1360,1361, 5,111,0,0,1361,1362,5,112,0,0,1362,1363,5,99,0,0,1363,1364,5,111, 0,0,1364,1365,5,117,0,0,1365,1366,5,110,0,0,1366,1374,5,116,0,0, 1367,1368,5,112,0,0,1368,1369,5,111,0,0,1369,1370,5,112,0,0,1370, 1371,5,99,0,0,1371,1372,5,110,0,0,1372,1374,5,116,0,0,1373,1351, 1,0,0,0,1373,1359,1,0,0,0,1373,1367,1,0,0,0,1374,210,1,0,0,0,1375, 1376,5,115,0,0,1376,1377,5,104,0,0,1377,1378,5,97,0,0,1378,1379, 5,112,0,0,1379,1380,5,101,0,0,1380,212,1,0,0,0,1381,1382,5,98,0, 0,1382,1383,5,97,0,0,1383,1384,5,110,0,0,1384,1397,5,100,0,0,1385, 1386,5,98,0,0,1386,1387,5,105,0,0,1387,1388,5,116,0,0,1388,1389, 5,119,0,0,1389,1390,5,105,0,0,1390,1391,5,115,0,0,1391,1392,5,101, 0,0,1392,1393,5,95,0,0,1393,1394,5,97,0,0,1394,1395,5,110,0,0,1395, 1397,5,100,0,0,1396,1381,1,0,0,0,1396,1385,1,0,0,0,1397,214,1,0, 0,0,1398,1399,5,98,0,0,1399,1400,5,120,0,0,1400,1401,5,111,0,0,1401, 1414,5,114,0,0,1402,1403,5,98,0,0,1403,1404,5,105,0,0,1404,1405, 5,116,0,0,1405,1406,5,119,0,0,1406,1407,5,105,0,0,1407,1408,5,115, 0,0,1408,1409,5,101,0,0,1409,1410,5,95,0,0,1410,1411,5,120,0,0,1411, 1412,5,111,0,0,1412,1414,5,114,0,0,1413,1398,1,0,0,0,1413,1402,1, 0,0,0,1414,216,1,0,0,0,1415,1416,5,98,0,0,1416,1417,5,111,0,0,1417, 1429,5,114,0,0,1418,1419,5,98,0,0,1419,1420,5,105,0,0,1420,1421, 5,116,0,0,1421,1422,5,119,0,0,1422,1423,5,105,0,0,1423,1424,5,115, 0,0,1424,1425,5,101,0,0,1425,1426,5,95,0,0,1426,1427,5,111,0,0,1427, 1429,5,114,0,0,1428,1415,1,0,0,0,1428,1418,1,0,0,0,1429,218,1,0, 0,0,1430,1431,5,116,0,0,1431,1432,5,101,0,0,1432,1433,5,110,0,0, 1433,1434,5,115,0,0,1434,1435,5,111,0,0,1435,1436,5,114,0,0,1436, 220,1,0,0,0,1437,1438,5,115,0,0,1438,1439,5,116,0,0,1439,1440,5, 97,0,0,1440,1441,5,99,0,0,1441,1442,5,107,0,0,1442,1443,5,95,0,0, 1443,1444,5,112,0,0,1444,1445,5,117,0,0,1445,1446,5,115,0,0,1446, 1447,5,104,0,0,1447,222,1,0,0,0,1448,1449,5,115,0,0,1449,1450,5, 116,0,0,1450,1451,5,97,0,0,1451,1452,5,99,0,0,1452,1453,5,107,0, 0,1453,1454,5,95,0,0,1454,1455,5,112,0,0,1455,1456,5,111,0,0,1456, 1457,5,112,0,0,1457,224,1,0,0,0,1458,1459,5,115,0,0,1459,1460,5, 116,0,0,1460,1461,5,97,0,0,1461,1462,5,99,0,0,1462,1463,5,107,0, 0,1463,1464,5,95,0,0,1464,1465,5,99,0,0,1465,1466,5,108,0,0,1466, 1467,5,101,0,0,1467,1468,5,97,0,0,1468,1469,5,114,0,0,1469,226,1, 0,0,0,1470,1471,5,115,0,0,1471,1472,5,116,0,0,1472,1473,5,97,0,0, 1473,1474,5,99,0,0,1474,1475,5,107,0,0,1475,1476,5,95,0,0,1476,1477, 5,104,0,0,1477,1478,5,97,0,0,1478,1479,5,115,0,0,1479,228,1,0,0, 0,1480,1481,5,115,0,0,1481,1482,5,116,0,0,1482,1483,5,97,0,0,1483, 1484,5,99,0,0,1484,1485,5,107,0,0,1485,1486,5,95,0,0,1486,1487,5, 103,0,0,1487,1488,5,101,0,0,1488,1489,5,116,0,0,1489,230,1,0,0,0, 1490,1491,5,99,0,0,1491,1492,5,97,0,0,1492,1511,5,116,0,0,1493,1494, 5,99,0,0,1494,1495,5,111,0,0,1495,1496,5,110,0,0,1496,1497,5,99, 0,0,1497,1498,5,97,0,0,1498,1511,5,116,0,0,1499,1500,5,99,0,0,1500, 1501,5,111,0,0,1501,1502,5,110,0,0,1502,1503,5,99,0,0,1503,1504, 5,97,0,0,1504,1505,5,116,0,0,1505,1506,5,101,0,0,1506,1507,5,110, 0,0,1507,1508,5,97,0,0,1508,1509,5,116,0,0,1509,1511,5,101,0,0,1510, 1490,1,0,0,0,1510,1493,1,0,0,0,1510,1499,1,0,0,0,1511,232,1,0,0, 0,1512,1513,5,105,0,0,1513,1514,5,110,0,0,1514,1515,5,116,0,0,1515, 234,1,0,0,0,1516,1517,5,102,0,0,1517,1518,5,108,0,0,1518,1519,5, 111,0,0,1519,1520,5,97,0,0,1520,1521,5,116,0,0,1521,236,1,0,0,0, 1522,1523,5,117,0,0,1523,1524,5,112,0,0,1524,1525,5,112,0,0,1525, 1526,5,101,0,0,1526,1527,5,114,0,0,1527,238,1,0,0,0,1528,1529,5, 108,0,0,1529,1530,5,111,0,0,1530,1531,5,119,0,0,1531,1532,5,101, 0,0,1532,1533,5,114,0,0,1533,240,1,0,0,0,1534,1535,5,116,0,0,1535, 1536,5,114,0,0,1536,1537,5,105,0,0,1537,1538,5,109,0,0,1538,242, 1,0,0,0,1539,1540,5,115,0,0,1540,1541,5,112,0,0,1541,1542,5,108, 0,0,1542,1543,5,105,0,0,1543,1544,5,116,0,0,1544,244,1,0,0,0,1545, 1546,5,106,0,0,1546,1547,5,111,0,0,1547,1548,5,105,0,0,1548,1549, 5,110,0,0,1549,246,1,0,0,0,1550,1551,5,115,0,0,1551,1552,5,117,0, 0,1552,1553,5,98,0,0,1553,1554,5,115,0,0,1554,1555,5,116,0,0,1555, 1556,5,114,0,0,1556,1557,5,105,0,0,1557,1558,5,110,0,0,1558,1566, 5,103,0,0,1559,1560,5,115,0,0,1560,1561,5,117,0,0,1561,1562,5,98, 0,0,1562,1563,5,115,0,0,1563,1564,5,116,0,0,1564,1566,5,114,0,0, 1565,1550,1,0,0,0,1565,1559,1,0,0,0,1566,248,1,0,0,0,1567,1568,5, 102,0,0,1568,1569,5,105,0,0,1569,1570,5,110,0,0,1570,1571,5,100, 0,0,1571,250,1,0,0,0,1572,1573,5,114,0,0,1573,1574,5,101,0,0,1574, 1575,5,112,0,0,1575,1576,5,108,0,0,1576,1577,5,97,0,0,1577,1578, 5,99,0,0,1578,1579,5,101,0,0,1579,252,1,0,0,0,1580,1581,5,100,0, 0,1581,1582,5,105,0,0,1582,1583,5,108,0,0,1583,1584,5,97,0,0,1584, 1585,5,116,0,0,1585,1586,5,101,0,0,1586,254,1,0,0,0,1587,1588,5, 101,0,0,1588,1589,5,114,0,0,1589,1590,5,111,0,0,1590,1591,5,100, 0,0,1591,1592,5,101,0,0,1592,256,1,0,0,0,1593,1594,5,109,0,0,1594, 1595,5,111,0,0,1595,1596,5,114,0,0,1596,1597,5,112,0,0,1597,1598, 5,104,0,0,1598,1599,5,95,0,0,1599,1600,5,111,0,0,1600,1601,5,112, 0,0,1601,1602,5,101,0,0,1602,1603,5,110,0,0,1603,258,1,0,0,0,1604, 1605,5,109,0,0,1605,1606,5,111,0,0,1606,1607,5,114,0,0,1607,1608, 5,112,0,0,1608,1609,5,104,0,0,1609,1610,5,95,0,0,1610,1611,5,99, 0,0,1611,1612,5,108,0,0,1612,1613,5,111,0,0,1613,1614,5,115,0,0, 1614,1615,5,101,0,0,1615,260,1,0,0,0,1616,1617,5,114,0,0,1617,1618, 5,103,0,0,1618,1619,5,98,0,0,1619,1620,5,95,0,0,1620,1621,5,116, 0,0,1621,1622,5,111,0,0,1622,1623,5,95,0,0,1623,1624,5,111,0,0,1624, 1625,5,107,0,0,1625,1626,5,108,0,0,1626,1627,5,97,0,0,1627,1628, 5,98,0,0,1628,262,1,0,0,0,1629,1630,5,114,0,0,1630,1631,5,103,0, 0,1631,1632,5,98,0,0,1632,1633,5,95,0,0,1633,1634,5,116,0,0,1634, 1635,5,111,0,0,1635,1636,5,95,0,0,1636,1637,5,99,0,0,1637,1638,5, 105,0,0,1638,1639,5,101,0,0,1639,1640,5,108,0,0,1640,1641,5,97,0, 0,1641,1642,5,98,0,0,1642,264,1,0,0,0,1643,1644,5,111,0,0,1644,1645, 5,107,0,0,1645,1646,5,108,0,0,1646,1647,5,97,0,0,1647,1648,5,98, 0,0,1648,1649,5,95,0,0,1649,1650,5,116,0,0,1650,1651,5,111,0,0,1651, 1652,5,95,0,0,1652,1653,5,114,0,0,1653,1654,5,103,0,0,1654,1655, 5,98,0,0,1655,266,1,0,0,0,1656,1657,5,99,0,0,1657,1658,5,105,0,0, 1658,1659,5,101,0,0,1659,1660,5,108,0,0,1660,1661,5,97,0,0,1661, 1662,5,98,0,0,1662,1663,5,95,0,0,1663,1664,5,116,0,0,1664,1665,5, 111,0,0,1665,1666,5,95,0,0,1666,1667,5,114,0,0,1667,1668,5,103,0, 0,1668,1669,5,98,0,0,1669,268,1,0,0,0,1670,1671,5,114,0,0,1671,1672, 5,103,0,0,1672,1673,5,98,0,0,1673,1674,5,95,0,0,1674,1675,5,116, 0,0,1675,1676,5,111,0,0,1676,1677,5,95,0,0,1677,1678,5,104,0,0,1678, 1679,5,115,0,0,1679,1680,5,118,0,0,1680,270,1,0,0,0,1681,1682,5, 104,0,0,1682,1683,5,115,0,0,1683,1684,5,118,0,0,1684,1685,5,95,0, 0,1685,1686,5,116,0,0,1686,1687,5,111,0,0,1687,1688,5,95,0,0,1688, 1689,5,114,0,0,1689,1690,5,103,0,0,1690,1691,5,98,0,0,1691,272,1, 0,0,0,1692,1693,5,105,0,0,1693,1694,5,110,0,0,1694,1695,5,116,0, 0,1695,1696,5,95,0,0,1696,1697,5,116,0,0,1697,1698,5,111,0,0,1698, 1699,5,95,0,0,1699,1700,5,114,0,0,1700,1701,5,103,0,0,1701,1702, 5,98,0,0,1702,274,1,0,0,0,1703,1704,5,114,0,0,1704,1705,5,103,0, 0,1705,1706,5,98,0,0,1706,1707,5,95,0,0,1707,1708,5,116,0,0,1708, 1709,5,111,0,0,1709,1710,5,95,0,0,1710,1711,5,105,0,0,1711,1712, 5,110,0,0,1712,1713,5,116,0,0,1713,276,1,0,0,0,1714,1715,5,105,0, 0,1715,1716,5,110,0,0,1716,1717,5,116,0,0,1717,1718,5,101,0,0,1718, 1719,5,114,0,0,1719,1720,5,112,0,0,1720,1721,5,111,0,0,1721,1722, 5,108,0,0,1722,1723,5,97,0,0,1723,1724,5,116,0,0,1724,1725,5,101, 0,0,1725,1726,5,95,0,0,1726,1727,5,108,0,0,1727,1728,5,105,0,0,1728, 1729,5,110,0,0,1729,1730,5,101,0,0,1730,1731,5,97,0,0,1731,1732, 5,114,0,0,1732,278,1,0,0,0,1733,1734,5,105,0,0,1734,1735,5,110,0, 0,1735,1736,5,116,0,0,1736,1737,5,101,0,0,1737,1738,5,114,0,0,1738, 1739,5,112,0,0,1739,1740,5,111,0,0,1740,1741,5,108,0,0,1741,1742, 5,97,0,0,1742,1743,5,116,0,0,1743,1744,5,101,0,0,1744,1745,5,95, 0,0,1745,1746,5,97,0,0,1746,1747,5,114,0,0,1747,1748,5,101,0,0,1748, 1749,5,97,0,0,1749,280,1,0,0,0,1750,1751,5,105,0,0,1751,1752,5,110, 0,0,1752,1753,5,116,0,0,1753,1754,5,101,0,0,1754,1755,5,114,0,0, 1755,1756,5,112,0,0,1756,1757,5,111,0,0,1757,1758,5,108,0,0,1758, 1759,5,97,0,0,1759,1760,5,116,0,0,1760,1761,5,101,0,0,1761,1762, 5,95,0,0,1762,1763,5,110,0,0,1763,1764,5,101,0,0,1764,1765,5,97, 0,0,1765,1766,5,114,0,0,1766,1767,5,101,0,0,1767,1768,5,115,0,0, 1768,1795,5,116,0,0,1769,1770,5,105,0,0,1770,1771,5,110,0,0,1771, 1772,5,116,0,0,1772,1773,5,101,0,0,1773,1774,5,114,0,0,1774,1775, 5,112,0,0,1775,1776,5,111,0,0,1776,1777,5,108,0,0,1777,1778,5,97, 0,0,1778,1779,5,116,0,0,1779,1780,5,101,0,0,1780,1781,5,95,0,0,1781, 1782,5,110,0,0,1782,1783,5,101,0,0,1783,1784,5,97,0,0,1784,1785, 5,114,0,0,1785,1786,5,101,0,0,1786,1787,5,115,0,0,1787,1788,5,116, 0,0,1788,1789,5,95,0,0,1789,1790,5,101,0,0,1790,1791,5,120,0,0,1791, 1792,5,97,0,0,1792,1793,5,99,0,0,1793,1795,5,116,0,0,1794,1750,1, 0,0,0,1794,1769,1,0,0,0,1795,282,1,0,0,0,1796,1797,5,116,0,0,1797, 1798,5,101,0,0,1798,1799,5,120,0,0,1799,1800,5,116,0,0,1800,1801, 5,95,0,0,1801,1802,5,105,0,0,1802,1803,5,109,0,0,1803,1804,5,97, 0,0,1804,1805,5,103,0,0,1805,1806,5,101,0,0,1806,284,1,0,0,0,1807, 1808,5,97,0,0,1808,1809,5,115,0,0,1809,1810,5,95,0,0,1810,1811,5, 110,0,0,1811,1812,5,101,0,0,1812,1813,5,115,0,0,1813,1814,5,116, 0,0,1814,1815,5,101,0,0,1815,1816,5,100,0,0,1816,1817,5,95,0,0,1817, 1818,5,116,0,0,1818,1819,5,101,0,0,1819,1820,5,110,0,0,1820,1821, 5,115,0,0,1821,1822,5,111,0,0,1822,1823,5,114,0,0,1823,286,1,0,0, 0,1824,1825,5,115,0,0,1825,1826,5,118,0,0,1826,1856,5,100,0,0,1827, 1828,5,115,0,0,1828,1829,5,105,0,0,1829,1830,5,110,0,0,1830,1831, 5,103,0,0,1831,1832,5,117,0,0,1832,1833,5,108,0,0,1833,1834,5,97, 0,0,1834,1835,5,114,0,0,1835,1836,5,95,0,0,1836,1837,5,118,0,0,1837, 1838,5,97,0,0,1838,1839,5,108,0,0,1839,1840,5,117,0,0,1840,1841, 5,101,0,0,1841,1842,5,95,0,0,1842,1843,5,100,0,0,1843,1844,5,101, 0,0,1844,1845,5,99,0,0,1845,1846,5,111,0,0,1846,1847,5,109,0,0,1847, 1848,5,112,0,0,1848,1849,5,111,0,0,1849,1850,5,115,0,0,1850,1851, 5,105,0,0,1851,1852,5,116,0,0,1852,1853,5,105,0,0,1853,1854,5,111, 0,0,1854,1856,5,110,0,0,1855,1824,1,0,0,0,1855,1827,1,0,0,0,1856, 288,1,0,0,0,1857,1858,5,100,0,0,1858,1859,5,105,0,0,1859,1860,5, 97,0,0,1860,1861,5,103,0,0,1861,1862,5,111,0,0,1862,1863,5,110,0, 0,1863,1864,5,97,0,0,1864,1865,5,108,0,0,1865,1866,5,95,0,0,1866, 1867,5,109,0,0,1867,1868,5,97,0,0,1868,1869,5,116,0,0,1869,1870, 5,114,0,0,1870,1871,5,105,0,0,1871,1877,5,120,0,0,1872,1873,5,100, 0,0,1873,1874,5,105,0,0,1874,1875,5,97,0,0,1875,1877,5,103,0,0,1876, 1857,1,0,0,0,1876,1872,1,0,0,0,1877,290,1,0,0,0,1878,1879,5,105, 0,0,1879,1880,5,102,0,0,1880,292,1,0,0,0,1881,1882,5,101,0,0,1882, 1883,5,108,0,0,1883,1884,5,115,0,0,1884,1885,5,101,0,0,1885,294, 1,0,0,0,1886,1887,5,119,0,0,1887,1888,5,104,0,0,1888,1889,5,105, 0,0,1889,1890,5,108,0,0,1890,1891,5,101,0,0,1891,296,1,0,0,0,1892, 1893,5,102,0,0,1893,1894,5,111,0,0,1894,1895,5,114,0,0,1895,298, 1,0,0,0,1896,1897,5,105,0,0,1897,1898,5,110,0,0,1898,300,1,0,0,0, 1899,1900,5,98,0,0,1900,1901,5,114,0,0,1901,1902,5,101,0,0,1902, 1903,5,97,0,0,1903,1904,5,107,0,0,1904,302,1,0,0,0,1905,1906,5,99, 0,0,1906,1907,5,111,0,0,1907,1908,5,110,0,0,1908,1909,5,116,0,0, 1909,1910,5,105,0,0,1910,1911,5,110,0,0,1911,1912,5,117,0,0,1912, 1913,5,101,0,0,1913,304,1,0,0,0,1914,1915,5,114,0,0,1915,1916,5, 101,0,0,1916,1917,5,116,0,0,1917,1918,5,117,0,0,1918,1919,5,114, 0,0,1919,1920,5,110,0,0,1920,306,1,0,0,0,1921,1922,5,116,0,0,1922, 1923,5,105,0,0,1923,1924,5,109,0,0,1924,1925,5,101,0,0,1925,1926, 5,115,0,0,1926,1927,5,116,0,0,1927,1928,5,97,0,0,1928,1929,5,109, 0,0,1929,1934,5,112,0,0,1930,1931,5,110,0,0,1931,1932,5,111,0,0, 1932,1934,5,119,0,0,1933,1921,1,0,0,0,1933,1930,1,0,0,0,1934,308, 1,0,0,0,1935,1936,5,115,0,0,1936,1937,5,111,0,0,1937,1938,5,114, 0,0,1938,1939,5,116,0,0,1939,310,1,0,0,0,1940,1941,5,97,0,0,1941, 1942,5,114,0,0,1942,1943,5,103,0,0,1943,1944,5,115,0,0,1944,1945, 5,111,0,0,1945,1946,5,114,0,0,1946,1947,5,116,0,0,1947,312,1,0,0, 0,1948,1949,5,97,0,0,1949,1950,5,114,0,0,1950,1951,5,103,0,0,1951, 1952,5,109,0,0,1952,1953,5,105,0,0,1953,1954,5,110,0,0,1954,314, 1,0,0,0,1955,1956,5,97,0,0,1956,1957,5,114,0,0,1957,1958,5,103,0, 0,1958,1959,5,109,0,0,1959,1960,5,97,0,0,1960,1961,5,120,0,0,1961, 316,1,0,0,0,1962,1963,5,115,0,0,1963,1964,5,111,0,0,1964,1965,5, 102,0,0,1965,1966,5,116,0,0,1966,1967,5,109,0,0,1967,1968,5,97,0, 0,1968,1969,5,120,0,0,1969,318,1,0,0,0,1970,1971,5,115,0,0,1971, 1972,5,111,0,0,1972,1973,5,102,0,0,1973,1974,5,116,0,0,1974,1975, 5,109,0,0,1975,1976,5,105,0,0,1976,1977,5,110,0,0,1977,320,1,0,0, 0,1978,1979,5,117,0,0,1979,1980,5,110,0,0,1980,1981,5,105,0,0,1981, 1982,5,113,0,0,1982,1983,5,117,0,0,1983,1984,5,101,0,0,1984,322, 1,0,0,0,1985,1986,5,102,0,0,1986,1987,5,108,0,0,1987,1988,5,105, 0,0,1988,1989,5,112,0,0,1989,324,1,0,0,0,1990,1991,5,115,0,0,1991, 1992,5,116,0,0,1992,1993,5,97,0,0,1993,1994,5,114,0,0,1994,1995, 5,116,0,0,1995,1996,5,115,0,0,1996,1997,5,119,0,0,1997,1998,5,105, 0,0,1998,1999,5,116,0,0,1999,2000,5,104,0,0,2000,326,1,0,0,0,2001, 2002,5,101,0,0,2002,2003,5,110,0,0,2003,2004,5,100,0,0,2004,2005, 5,115,0,0,2005,2006,5,119,0,0,2006,2007,5,105,0,0,2007,2008,5,116, 0,0,2008,2009,5,104,0,0,2009,328,1,0,0,0,2010,2011,5,115,0,0,2011, 2012,5,113,0,0,2012,2013,5,117,0,0,2013,2014,5,101,0,0,2014,2015, 5,101,0,0,2015,2016,5,122,0,0,2016,2017,5,101,0,0,2017,330,1,0,0, 0,2018,2019,5,117,0,0,2019,2020,5,110,0,0,2020,2021,5,115,0,0,2021, 2022,5,113,0,0,2022,2023,5,117,0,0,2023,2024,5,101,0,0,2024,2025, 5,101,0,0,2025,2026,5,122,0,0,2026,2027,5,101,0,0,2027,332,1,0,0, 0,2028,2029,5,114,0,0,2029,2030,5,111,0,0,2030,2031,5,108,0,0,2031, 2032,5,108,0,0,2032,334,1,0,0,0,2033,2034,5,99,0,0,2034,2035,5,111, 0,0,2035,2036,5,118,0,0,2036,336,1,0,0,0,2037,2038,5,99,0,0,2038, 2039,5,111,0,0,2039,2040,5,114,0,0,2040,2053,5,114,0,0,2041,2042, 5,99,0,0,2042,2043,5,111,0,0,2043,2044,5,114,0,0,2044,2045,5,114, 0,0,2045,2046,5,101,0,0,2046,2047,5,108,0,0,2047,2048,5,97,0,0,2048, 2049,5,116,0,0,2049,2050,5,105,0,0,2050,2051,5,111,0,0,2051,2053, 5,110,0,0,2052,2037,1,0,0,0,2052,2041,1,0,0,0,2053,338,1,0,0,0,2054, 2055,5,101,0,0,2055,2056,5,110,0,0,2056,2057,5,116,0,0,2057,2058, 5,114,0,0,2058,2059,5,111,0,0,2059,2060,5,112,0,0,2060,2061,5,121, 0,0,2061,340,1,0,0,0,2062,2063,5,99,0,0,2063,2064,5,114,0,0,2064, 2065,5,111,0,0,2065,2066,5,112,0,0,2066,342,1,0,0,0,2067,2068,5, 110,0,0,2068,2069,5,111,0,0,2069,2070,5,110,0,0,2070,2084,5,101, 0,0,2071,2072,5,78,0,0,2072,2073,5,111,0,0,2073,2074,5,110,0,0,2074, 2084,5,101,0,0,2075,2076,5,110,0,0,2076,2077,5,117,0,0,2077,2078, 5,108,0,0,2078,2084,5,108,0,0,2079,2080,5,78,0,0,2080,2081,5,85, 0,0,2081,2082,5,76,0,0,2082,2084,5,76,0,0,2083,2067,1,0,0,0,2083, 2071,1,0,0,0,2083,2075,1,0,0,0,2083,2079,1,0,0,0,2084,344,1,0,0, 0,2085,2086,5,99,0,0,2086,2087,5,111,0,0,2087,2088,5,111,0,0,2088, 2089,5,114,0,0,2089,2090,5,100,0,0,2090,2103,5,115,0,0,2091,2092, 5,99,0,0,2092,2093,5,111,0,0,2093,2094,5,111,0,0,2094,2095,5,114, 0,0,2095,2096,5,100,0,0,2096,2097,5,105,0,0,2097,2098,5,110,0,0, 2098,2099,5,97,0,0,2099,2100,5,116,0,0,2100,2101,5,101,0,0,2101, 2103,5,115,0,0,2102,2085,1,0,0,0,2102,2091,1,0,0,0,2103,346,1,0, 0,0,2104,2105,5,110,0,0,2105,2106,5,111,0,0,2106,2107,5,105,0,0, 2107,2108,5,115,0,0,2108,2128,5,101,0,0,2109,2110,5,114,0,0,2110, 2111,5,97,0,0,2111,2112,5,110,0,0,2112,2113,5,100,0,0,2113,2128, 5,110,0,0,2114,2115,5,114,0,0,2115,2116,5,97,0,0,2116,2117,5,110, 0,0,2117,2118,5,100,0,0,2118,2119,5,111,0,0,2119,2120,5,109,0,0, 2120,2121,5,95,0,0,2121,2122,5,110,0,0,2122,2123,5,111,0,0,2123, 2124,5,114,0,0,2124,2125,5,109,0,0,2125,2126,5,97,0,0,2126,2128, 5,108,0,0,2127,2104,1,0,0,0,2127,2109,1,0,0,0,2127,2114,1,0,0,0, 2128,348,1,0,0,0,2129,2130,5,114,0,0,2130,2131,5,97,0,0,2131,2132, 5,110,0,0,2132,2153,5,100,0,0,2133,2134,5,114,0,0,2134,2135,5,97, 0,0,2135,2136,5,110,0,0,2136,2137,5,100,0,0,2137,2153,5,117,0,0, 2138,2139,5,114,0,0,2139,2140,5,97,0,0,2140,2141,5,110,0,0,2141, 2142,5,100,0,0,2142,2143,5,111,0,0,2143,2144,5,109,0,0,2144,2145, 5,95,0,0,2145,2146,5,117,0,0,2146,2147,5,110,0,0,2147,2148,5,105, 0,0,2148,2149,5,102,0,0,2149,2150,5,111,0,0,2150,2151,5,114,0,0, 2151,2153,5,109,0,0,2152,2129,1,0,0,0,2152,2133,1,0,0,0,2152,2138, 1,0,0,0,2153,350,1,0,0,0,2154,2155,5,114,0,0,2155,2156,5,97,0,0, 2156,2157,5,110,0,0,2157,2158,5,100,0,0,2158,2173,5,99,0,0,2159, 2160,5,114,0,0,2160,2161,5,97,0,0,2161,2162,5,110,0,0,2162,2163, 5,100,0,0,2163,2164,5,111,0,0,2164,2165,5,109,0,0,2165,2166,5,95, 0,0,2166,2167,5,99,0,0,2167,2168,5,97,0,0,2168,2169,5,117,0,0,2169, 2170,5,99,0,0,2170,2171,5,104,0,0,2171,2173,5,121,0,0,2172,2154, 1,0,0,0,2172,2159,1,0,0,0,2173,352,1,0,0,0,2174,2175,5,114,0,0,2175, 2176,5,97,0,0,2176,2177,5,110,0,0,2177,2178,5,100,0,0,2178,2198, 5,101,0,0,2179,2180,5,114,0,0,2180,2181,5,97,0,0,2181,2182,5,110, 0,0,2182,2183,5,100,0,0,2183,2184,5,111,0,0,2184,2185,5,109,0,0, 2185,2186,5,95,0,0,2186,2187,5,101,0,0,2187,2188,5,120,0,0,2188, 2189,5,112,0,0,2189,2190,5,111,0,0,2190,2191,5,110,0,0,2191,2192, 5,101,0,0,2192,2193,5,110,0,0,2193,2194,5,116,0,0,2194,2195,5,105, 0,0,2195,2196,5,97,0,0,2196,2198,5,108,0,0,2197,2174,1,0,0,0,2197, 2179,1,0,0,0,2198,354,1,0,0,0,2199,2200,5,114,0,0,2200,2201,5,97, 0,0,2201,2202,5,110,0,0,2202,2203,5,100,0,0,2203,2204,5,108,0,0, 2204,2223,5,110,0,0,2205,2206,5,114,0,0,2206,2207,5,97,0,0,2207, 2208,5,110,0,0,2208,2209,5,100,0,0,2209,2210,5,111,0,0,2210,2211, 5,109,0,0,2211,2212,5,95,0,0,2212,2213,5,108,0,0,2213,2214,5,111, 0,0,2214,2215,5,103,0,0,2215,2216,5,95,0,0,2216,2217,5,110,0,0,2217, 2218,5,111,0,0,2218,2219,5,114,0,0,2219,2220,5,109,0,0,2220,2221, 5,97,0,0,2221,2223,5,108,0,0,2222,2199,1,0,0,0,2222,2205,1,0,0,0, 2223,356,1,0,0,0,2224,2225,5,114,0,0,2225,2226,5,97,0,0,2226,2227, 5,110,0,0,2227,2228,5,100,0,0,2228,2246,5,98,0,0,2229,2230,5,114, 0,0,2230,2231,5,97,0,0,2231,2232,5,110,0,0,2232,2233,5,100,0,0,2233, 2234,5,111,0,0,2234,2235,5,109,0,0,2235,2236,5,95,0,0,2236,2237, 5,98,0,0,2237,2238,5,101,0,0,2238,2239,5,114,0,0,2239,2240,5,110, 0,0,2240,2241,5,111,0,0,2241,2242,5,117,0,0,2242,2243,5,108,0,0, 2243,2244,5,108,0,0,2244,2246,5,105,0,0,2245,2224,1,0,0,0,2245,2229, 1,0,0,0,2246,358,1,0,0,0,2247,2248,5,114,0,0,2248,2249,5,97,0,0, 2249,2250,5,110,0,0,2250,2251,5,100,0,0,2251,2267,5,112,0,0,2252, 2253,5,114,0,0,2253,2254,5,97,0,0,2254,2255,5,110,0,0,2255,2256, 5,100,0,0,2256,2257,5,111,0,0,2257,2258,5,109,0,0,2258,2259,5,95, 0,0,2259,2260,5,112,0,0,2260,2261,5,111,0,0,2261,2262,5,105,0,0, 2262,2263,5,115,0,0,2263,2264,5,115,0,0,2264,2265,5,111,0,0,2265, 2267,5,110,0,0,2266,2247,1,0,0,0,2266,2252,1,0,0,0,2267,360,1,0, 0,0,2268,2269,5,114,0,0,2269,2270,5,97,0,0,2270,2271,5,110,0,0,2271, 2272,5,100,0,0,2272,2286,5,103,0,0,2273,2274,5,114,0,0,2274,2275, 5,97,0,0,2275,2276,5,110,0,0,2276,2277,5,100,0,0,2277,2278,5,111, 0,0,2278,2279,5,109,0,0,2279,2280,5,95,0,0,2280,2281,5,103,0,0,2281, 2282,5,97,0,0,2282,2283,5,109,0,0,2283,2284,5,109,0,0,2284,2286, 5,97,0,0,2285,2268,1,0,0,0,2285,2273,1,0,0,0,2286,362,1,0,0,0,2287, 2288,5,114,0,0,2288,2289,5,97,0,0,2289,2290,5,110,0,0,2290,2291, 5,100,0,0,2291,2292,5,98,0,0,2292,2293,5,101,0,0,2293,2294,5,116, 0,0,2294,2307,5,97,0,0,2295,2296,5,114,0,0,2296,2297,5,97,0,0,2297, 2298,5,110,0,0,2298,2299,5,100,0,0,2299,2300,5,111,0,0,2300,2301, 5,109,0,0,2301,2302,5,95,0,0,2302,2303,5,98,0,0,2303,2304,5,101, 0,0,2304,2305,5,116,0,0,2305,2307,5,97,0,0,2306,2287,1,0,0,0,2306, 2295,1,0,0,0,2307,364,1,0,0,0,2308,2309,5,114,0,0,2309,2310,5,97, 0,0,2310,2311,5,110,0,0,2311,2312,5,100,0,0,2312,2328,5,108,0,0, 2313,2314,5,114,0,0,2314,2315,5,97,0,0,2315,2316,5,110,0,0,2316, 2317,5,100,0,0,2317,2318,5,111,0,0,2318,2319,5,109,0,0,2319,2320, 5,95,0,0,2320,2321,5,108,0,0,2321,2322,5,97,0,0,2322,2323,5,112, 0,0,2323,2324,5,108,0,0,2324,2325,5,97,0,0,2325,2326,5,99,0,0,2326, 2328,5,101,0,0,2327,2308,1,0,0,0,2327,2313,1,0,0,0,2328,366,1,0, 0,0,2329,2330,5,114,0,0,2330,2331,5,97,0,0,2331,2332,5,110,0,0,2332, 2333,5,100,0,0,2333,2334,5,103,0,0,2334,2335,5,117,0,0,2335,2336, 5,109,0,0,2336,2337,5,98,0,0,2337,2338,5,101,0,0,2338,2353,5,108, 0,0,2339,2340,5,114,0,0,2340,2341,5,97,0,0,2341,2342,5,110,0,0,2342, 2343,5,100,0,0,2343,2344,5,111,0,0,2344,2345,5,109,0,0,2345,2346, 5,95,0,0,2346,2347,5,103,0,0,2347,2348,5,117,0,0,2348,2349,5,109, 0,0,2349,2350,5,98,0,0,2350,2351,5,101,0,0,2351,2353,5,108,0,0,2352, 2329,1,0,0,0,2352,2339,1,0,0,0,2353,368,1,0,0,0,2354,2355,5,114, 0,0,2355,2356,5,97,0,0,2356,2357,5,110,0,0,2357,2358,5,100,0,0,2358, 2374,5,119,0,0,2359,2360,5,114,0,0,2360,2361,5,97,0,0,2361,2362, 5,110,0,0,2362,2363,5,100,0,0,2363,2364,5,111,0,0,2364,2365,5,109, 0,0,2365,2366,5,95,0,0,2366,2367,5,119,0,0,2367,2368,5,101,0,0,2368, 2369,5,105,0,0,2369,2370,5,98,0,0,2370,2371,5,117,0,0,2371,2372, 5,108,0,0,2372,2374,5,108,0,0,2373,2354,1,0,0,0,2373,2359,1,0,0, 0,2374,370,1,0,0,0,2375,2376,5,114,0,0,2376,2377,5,97,0,0,2377,2378, 5,110,0,0,2378,2379,5,100,0,0,2379,2380,5,99,0,0,2380,2381,5,104, 0,0,2381,2382,5,105,0,0,2382,2395,5,50,0,0,2383,2384,5,114,0,0,2384, 2385,5,97,0,0,2385,2386,5,110,0,0,2386,2387,5,100,0,0,2387,2388, 5,111,0,0,2388,2389,5,109,0,0,2389,2390,5,95,0,0,2390,2391,5,99, 0,0,2391,2392,5,104,0,0,2392,2393,5,105,0,0,2393,2395,5,50,0,0,2394, 2375,1,0,0,0,2394,2383,1,0,0,0,2395,372,1,0,0,0,2396,2397,5,114, 0,0,2397,2398,5,97,0,0,2398,2399,5,110,0,0,2399,2400,5,100,0,0,2400, 2417,5,116,0,0,2401,2402,5,114,0,0,2402,2403,5,97,0,0,2403,2404, 5,110,0,0,2404,2405,5,100,0,0,2405,2406,5,111,0,0,2406,2407,5,109, 0,0,2407,2408,5,95,0,0,2408,2409,5,115,0,0,2409,2410,5,116,0,0,2410, 2411,5,117,0,0,2411,2412,5,100,0,0,2412,2413,5,101,0,0,2413,2414, 5,110,0,0,2414,2415,5,116,0,0,2415,2417,5,116,0,0,2416,2396,1,0, 0,0,2416,2401,1,0,0,0,2417,374,1,0,0,0,2418,2419,5,112,0,0,2419, 2420,5,101,0,0,2420,2421,5,114,0,0,2421,2422,5,108,0,0,2422,2423, 5,105,0,0,2423,2437,5,110,0,0,2424,2425,5,112,0,0,2425,2426,5,101, 0,0,2426,2427,5,114,0,0,2427,2428,5,108,0,0,2428,2429,5,105,0,0, 2429,2430,5,110,0,0,2430,2431,5,95,0,0,2431,2432,5,110,0,0,2432, 2433,5,111,0,0,2433,2434,5,105,0,0,2434,2435,5,115,0,0,2435,2437, 5,101,0,0,2436,2418,1,0,0,0,2436,2424,1,0,0,0,2437,376,1,0,0,0,2438, 2439,5,99,0,0,2439,2440,5,101,0,0,2440,2441,5,108,0,0,2441,2442, 5,108,0,0,2442,2443,5,117,0,0,2443,2444,5,108,0,0,2444,2445,5,97, 0,0,2445,2487,5,114,0,0,2446,2447,5,118,0,0,2447,2448,5,111,0,0, 2448,2449,5,114,0,0,2449,2450,5,111,0,0,2450,2451,5,110,0,0,2451, 2452,5,111,0,0,2452,2487,5,105,0,0,2453,2454,5,119,0,0,2454,2455, 5,111,0,0,2455,2456,5,114,0,0,2456,2457,5,108,0,0,2457,2458,5,101, 0,0,2458,2487,5,121,0,0,2459,2460,5,99,0,0,2460,2461,5,101,0,0,2461, 2462,5,108,0,0,2462,2463,5,108,0,0,2463,2464,5,117,0,0,2464,2465, 5,108,0,0,2465,2466,5,97,0,0,2466,2467,5,114,0,0,2467,2468,5,95, 0,0,2468,2469,5,110,0,0,2469,2470,5,111,0,0,2470,2471,5,105,0,0, 2471,2472,5,115,0,0,2472,2487,5,101,0,0,2473,2474,5,118,0,0,2474, 2475,5,111,0,0,2475,2476,5,114,0,0,2476,2477,5,111,0,0,2477,2478, 5,110,0,0,2478,2479,5,111,0,0,2479,2480,5,105,0,0,2480,2481,5,95, 0,0,2481,2482,5,110,0,0,2482,2483,5,111,0,0,2483,2484,5,105,0,0, 2484,2485,5,115,0,0,2485,2487,5,101,0,0,2486,2438,1,0,0,0,2486,2446, 1,0,0,0,2486,2453,1,0,0,0,2486,2459,1,0,0,0,2486,2473,1,0,0,0,2487, 378,1,0,0,0,2488,2489,5,112,0,0,2489,2490,5,108,0,0,2490,2491,5, 97,0,0,2491,2492,5,115,0,0,2492,2493,5,109,0,0,2493,2517,5,97,0, 0,2494,2495,5,116,0,0,2495,2496,5,117,0,0,2496,2497,5,114,0,0,2497, 2498,5,98,0,0,2498,2499,5,117,0,0,2499,2500,5,108,0,0,2500,2501, 5,101,0,0,2501,2502,5,110,0,0,2502,2503,5,99,0,0,2503,2517,5,101, 0,0,2504,2505,5,112,0,0,2505,2506,5,108,0,0,2506,2507,5,97,0,0,2507, 2508,5,115,0,0,2508,2509,5,109,0,0,2509,2510,5,97,0,0,2510,2511, 5,95,0,0,2511,2512,5,110,0,0,2512,2513,5,111,0,0,2513,2514,5,105, 0,0,2514,2515,5,115,0,0,2515,2517,5,101,0,0,2516,2488,1,0,0,0,2516, 2494,1,0,0,0,2516,2504,1,0,0,0,2517,380,1,0,0,0,2518,2519,5,114, 0,0,2519,2520,5,105,0,0,2520,2521,5,100,0,0,2521,2522,5,103,0,0, 2522,2523,5,101,0,0,2523,2537,5,100,0,0,2524,2525,5,114,0,0,2525, 2526,5,105,0,0,2526,2527,5,100,0,0,2527,2528,5,103,0,0,2528,2529, 5,101,0,0,2529,2530,5,100,0,0,2530,2531,5,95,0,0,2531,2532,5,110, 0,0,2532,2533,5,111,0,0,2533,2534,5,105,0,0,2534,2535,5,115,0,0, 2535,2537,5,101,0,0,2536,2518,1,0,0,0,2536,2524,1,0,0,0,2537,382, 1,0,0,0,2538,2539,5,100,0,0,2539,2540,5,111,0,0,2540,2541,5,109, 0,0,2541,2542,5,97,0,0,2542,2543,5,105,0,0,2543,2544,5,110,0,0,2544, 2545,5,95,0,0,2545,2546,5,119,0,0,2546,2547,5,97,0,0,2547,2548,5, 114,0,0,2548,2567,5,112,0,0,2549,2550,5,100,0,0,2550,2551,5,111, 0,0,2551,2552,5,109,0,0,2552,2553,5,97,0,0,2553,2554,5,105,0,0,2554, 2555,5,110,0,0,2555,2556,5,95,0,0,2556,2557,5,119,0,0,2557,2558, 5,97,0,0,2558,2559,5,114,0,0,2559,2560,5,112,0,0,2560,2561,5,95, 0,0,2561,2562,5,110,0,0,2562,2563,5,111,0,0,2563,2564,5,105,0,0, 2564,2565,5,115,0,0,2565,2567,5,101,0,0,2566,2538,1,0,0,0,2566,2549, 1,0,0,0,2567,384,1,0,0,0,2568,2569,5,43,0,0,2569,386,1,0,0,0,2570, 2571,5,45,0,0,2571,388,1,0,0,0,2572,2573,5,42,0,0,2573,390,1,0,0, 0,2574,2575,5,47,0,0,2575,392,1,0,0,0,2576,2577,5,37,0,0,2577,394, 1,0,0,0,2578,2579,5,94,0,0,2579,396,1,0,0,0,2580,2581,5,60,0,0,2581, 2582,5,60,0,0,2582,398,1,0,0,0,2583,2584,5,62,0,0,2584,2585,5,62, 0,0,2585,400,1,0,0,0,2586,2587,5,62,0,0,2587,2588,5,61,0,0,2588, 402,1,0,0,0,2589,2590,5,62,0,0,2590,404,1,0,0,0,2591,2592,5,60,0, 0,2592,2593,5,61,0,0,2593,406,1,0,0,0,2594,2595,5,60,0,0,2595,408, 1,0,0,0,2596,2597,5,61,0,0,2597,2598,5,61,0,0,2598,410,1,0,0,0,2599, 2600,5,61,0,0,2600,412,1,0,0,0,2601,2602,5,43,0,0,2602,2603,5,61, 0,0,2603,414,1,0,0,0,2604,2605,5,45,0,0,2605,2606,5,61,0,0,2606, 416,1,0,0,0,2607,2608,5,42,0,0,2608,2609,5,61,0,0,2609,418,1,0,0, 0,2610,2611,5,47,0,0,2611,2612,5,61,0,0,2612,420,1,0,0,0,2613,2614, 5,37,0,0,2614,2615,5,61,0,0,2615,422,1,0,0,0,2616,2617,5,33,0,0, 2617,2618,5,61,0,0,2618,424,1,0,0,0,2619,2620,5,124,0,0,2620,426, 1,0,0,0,2621,2622,5,40,0,0,2622,428,1,0,0,0,2623,2624,5,41,0,0,2624, 430,1,0,0,0,2625,2626,5,44,0,0,2626,432,1,0,0,0,2627,2628,5,59,0, 0,2628,434,1,0,0,0,2629,2630,5,45,0,0,2630,2631,5,62,0,0,2631,436, 1,0,0,0,2632,2633,5,91,0,0,2633,438,1,0,0,0,2634,2635,5,93,0,0,2635, 440,1,0,0,0,2636,2637,5,63,0,0,2637,442,1,0,0,0,2638,2639,5,58,0, 0,2639,444,1,0,0,0,2640,2641,5,123,0,0,2641,446,1,0,0,0,2642,2643, 5,125,0,0,2643,448,1,0,0,0,2644,2646,7,0,0,0,2645,2644,1,0,0,0,2646, 2647,1,0,0,0,2647,2645,1,0,0,0,2647,2648,1,0,0,0,2648,2656,1,0,0, 0,2649,2653,5,46,0,0,2650,2652,7,0,0,0,2651,2650,1,0,0,0,2652,2655, 1,0,0,0,2653,2651,1,0,0,0,2653,2654,1,0,0,0,2654,2657,1,0,0,0,2655, 2653,1,0,0,0,2656,2649,1,0,0,0,2656,2657,1,0,0,0,2657,2665,1,0,0, 0,2658,2660,5,46,0,0,2659,2661,7,0,0,0,2660,2659,1,0,0,0,2661,2662, 1,0,0,0,2662,2660,1,0,0,0,2662,2663,1,0,0,0,2663,2665,1,0,0,0,2664, 2645,1,0,0,0,2664,2658,1,0,0,0,2665,2675,1,0,0,0,2666,2668,7,1,0, 0,2667,2669,7,2,0,0,2668,2667,1,0,0,0,2668,2669,1,0,0,0,2669,2671, 1,0,0,0,2670,2672,7,0,0,0,2671,2670,1,0,0,0,2672,2673,1,0,0,0,2673, 2671,1,0,0,0,2673,2674,1,0,0,0,2674,2676,1,0,0,0,2675,2666,1,0,0, 0,2675,2676,1,0,0,0,2676,450,1,0,0,0,2677,2678,5,112,0,0,2678,2683, 5,105,0,0,2679,2680,5,80,0,0,2680,2683,5,73,0,0,2681,2683,7,1,0, 0,2682,2677,1,0,0,0,2682,2679,1,0,0,0,2682,2681,1,0,0,0,2683,452, 1,0,0,0,2684,2690,5,34,0,0,2685,2689,8,3,0,0,2686,2687,5,92,0,0, 2687,2689,9,0,0,0,2688,2685,1,0,0,0,2688,2686,1,0,0,0,2689,2692, 1,0,0,0,2690,2688,1,0,0,0,2690,2691,1,0,0,0,2691,2693,1,0,0,0,2692, 2690,1,0,0,0,2693,2705,5,34,0,0,2694,2700,5,39,0,0,2695,2699,8,4, 0,0,2696,2697,5,92,0,0,2697,2699,9,0,0,0,2698,2695,1,0,0,0,2698, 2696,1,0,0,0,2699,2702,1,0,0,0,2700,2698,1,0,0,0,2700,2701,1,0,0, 0,2701,2703,1,0,0,0,2702,2700,1,0,0,0,2703,2705,5,39,0,0,2704,2684, 1,0,0,0,2704,2694,1,0,0,0,2705,454,1,0,0,0,2706,2710,7,5,0,0,2707, 2709,7,6,0,0,2708,2707,1,0,0,0,2709,2712,1,0,0,0,2710,2708,1,0,0, 0,2710,2711,1,0,0,0,2711,456,1,0,0,0,2712,2710,1,0,0,0,2713,2717, 5,35,0,0,2714,2716,8,7,0,0,2715,2714,1,0,0,0,2716,2719,1,0,0,0,2717, 2715,1,0,0,0,2717,2718,1,0,0,0,2718,2720,1,0,0,0,2719,2717,1,0,0, 0,2720,2721,6,228,0,0,2721,458,1,0,0,0,2722,2723,5,47,0,0,2723,2724, 5,42,0,0,2724,2728,1,0,0,0,2725,2727,9,0,0,0,2726,2725,1,0,0,0,2727, 2730,1,0,0,0,2728,2729,1,0,0,0,2728,2726,1,0,0,0,2729,2731,1,0,0, 0,2730,2728,1,0,0,0,2731,2732,5,42,0,0,2732,2733,5,47,0,0,2733,2734, 1,0,0,0,2734,2735,6,229,0,0,2735,460,1,0,0,0,2736,2738,7,8,0,0,2737, 2736,1,0,0,0,2738,2739,1,0,0,0,2739,2737,1,0,0,0,2739,2740,1,0,0, 0,2740,2741,1,0,0,0,2741,2742,6,230,0,0,2742,462,1,0,0,0,73,0,655, 670,746,763,781,794,867,884,942,991,1013,1030,1051,1066,1093,1124, 1140,1211,1261,1281,1302,1349,1373,1396,1413,1428,1510,1565,1794, 1855,1876,1933,2052,2083,2102,2127,2152,2172,2197,2222,2245,2266, 2285,2306,2327,2352,2373,2394,2416,2436,2486,2516,2536,2566,2647, 2653,2656,2662,2664,2668,2673,2675,2682,2688,2690,2698,2700,2704, 2710,2717,2728,2739,1,6,0,0 ] class MathExprLexer(Lexer): atn = ATNDeserializer().deserialize(serializedATN()) decisionsToDFA = [ DFA(ds, i) for i, ds in enumerate(atn.decisionToState) ] SIN = 1 COS = 2 TAN = 3 ASIN = 4 ACOS = 5 ATAN = 6 ATAN2 = 7 SINH = 8 COSH = 9 TANH = 10 ASINH = 11 ACOSH = 12 ATANH = 13 ABS = 14 SQRT = 15 LN = 16 LOG = 17 EXP = 18 SMIN = 19 SMAX = 20 TMIN = 21 TMAX = 22 TNORM = 23 SNORM = 24 FLOOR = 25 CEIL = 26 ROUND = 27 GAMMA = 28 POWE = 29 SIGM = 30 CLAMP = 31 SFFT = 32 SIFFT = 33 ANGL = 34 PRNT = 35 PRINT_SHAPE = 36 NVL = 37 LERP = 38 STEP = 39 SMOOTHSTEP = 40 FRACT = 41 RELU = 42 SOFTPLUS = 43 GELU = 44 SIGN = 45 MAP = 46 EZCONV = 47 CONV = 48 SWAP = 49 PERM = 50 RESHAPE = 51 RANGE = 52 LINSPACE = 53 LOGSPACE = 54 TOPK = 55 BOTK = 56 PINV = 57 SUM = 58 MEAN = 59 STD = 60 VAR = 61 QUARTILE = 62 PERCENTILE = 63 QUANTILE = 64 DOT = 65 MOMENT = 66 ERF = 67 ERFINV = 68 ANY = 69 ALL = 70 EDGE = 71 GAUSSIAN = 72 MEDIAN = 73 MODE = 74 CUMSUM = 75 CUMPROD = 76 TOPK_IND = 77 BOTK_IND = 78 CUBIC_EASE = 79 ELASTIC_EASE = 80 SINE_EASE = 81 SMOOTHERSTEP = 82 DIST = 83 REMAP = 84 COSSIM = 85 COUNT = 86 REPEAT = 87 FLATTEN = 88 APPEND = 89 GET_VALUE = 90 FLOW_APPLY = 91 BATCH_SHUFFLE = 92 MOTION_MASK = 93 FLOW_TO_IMAGE = 94 FLOW_MAG = 95 FLOW_ANG = 96 WHERE = 97 HISTOGRAM = 98 OVERLAY = 99 PAD = 100 CROSS = 101 MATMUL = 102 RIFE = 103 BNOT = 104 BITCOUNT = 105 SHAPE = 106 BAND = 107 XOR = 108 BOR = 109 TENSOR = 110 PUSH = 111 POP = 112 CLEAR = 113 HAS = 114 GET = 115 CONCAT = 116 INT = 117 FLOAT = 118 UPPER = 119 LOWER = 120 TRIM = 121 SPLIT = 122 JOIN = 123 SUBSTRING = 124 FIND = 125 REPLACE = 126 DILATE = 127 ERODE = 128 MORPH_OPEN = 129 MORPH_CLOSE = 130 RGB_TO_OKLAB = 131 RGB_TO_CIELAB = 132 OKLAB_TO_RGB = 133 CIELAB_TO_RGB = 134 RGB_TO_HSV = 135 HSV_TO_RGB = 136 INT_TO_RGB = 137 RGB_TO_INT = 138 INTERPOLATE_LINEAR = 139 INTERPOLATE_AREA = 140 INTERPOLATE_NEAREST = 141 TEXT_IMAGE = 142 AS_NESTED = 143 SVD = 144 DIAG = 145 IF = 146 ELSE = 147 WHILE = 148 FOR = 149 IN = 150 BREAK = 151 CONTINUE = 152 RETURN = 153 TIMESTAMP = 154 SORT = 155 ARGSORT = 156 ARGMIN = 157 ARGMAX = 158 SOFTMAX = 159 SOFTMIN = 160 UNIQUE = 161 FLIP = 162 STARTSWITH = 163 ENDSWITH = 164 SQUEEZE = 165 UNSQUEEZE = 166 ROLL = 167 COV = 168 CORR = 169 ENTROPY = 170 CROP = 171 NONE = 172 COORDS = 173 NOISE = 174 RAND = 175 CAUCHY = 176 EXPONENTIAL = 177 LOGNORMAL = 178 BERNOULLI = 179 POISSON = 180 GAMMADIST = 181 BETADIST = 182 LAPLACEDIST = 183 GUMBELDIST = 184 WEIBULLDIST = 185 CHI2DIST = 186 STUDENTTDIST = 187 PERLIN = 188 CELLULAR = 189 PLASMA = 190 RIDGED = 191 DOMAIN_WARP = 192 PLUS = 193 MINUS = 194 MULT = 195 DIV = 196 MOD = 197 POW = 198 LSHIFT = 199 RSHIFT = 200 GE = 201 GT = 202 LE = 203 LT = 204 EQ = 205 EQUEALS = 206 PLUS_EQ = 207 MINUS_EQ = 208 MULT_EQ = 209 DIV_EQ = 210 MOD_EQ = 211 NE = 212 PIPE = 213 LPAREN = 214 RPAREN = 215 COMMA = 216 SEMICOLON = 217 ARROW = 218 LBRACKET = 219 RBRACKET = 220 QUESTION = 221 COLON = 222 LBRACE = 223 RBRACE = 224 NUMBER = 225 CONSTANT = 226 STRING = 227 VARIABLE = 228 SL_COMMENT = 229 ML_COMMENT = 230 WS = 231 channelNames = [ u"DEFAULT_TOKEN_CHANNEL", u"HIDDEN" ] modeNames = [ "DEFAULT_MODE" ] literalNames = [ "", "'sin'", "'cos'", "'tan'", "'asin'", "'acos'", "'atan'", "'atan2'", "'sinh'", "'cosh'", "'tanh'", "'asinh'", "'acosh'", "'atanh'", "'abs'", "'sqrt'", "'ln'", "'log'", "'exp'", "'smin'", "'smax'", "'tmin'", "'tmax'", "'tnorm'", "'snorm'", "'floor'", "'ceil'", "'round'", "'gamma'", "'pow'", "'sigm'", "'clamp'", "'fft'", "'ifft'", "'angle'", "'print'", "'lerp'", "'step'", "'smoothstep'", "'fract'", "'relu'", "'softplus'", "'gelu'", "'sign'", "'map'", "'swap'", "'range'", "'linspace'", "'logspace'", "'topk'", "'botk'", "'pinv'", "'sum'", "'mean'", "'std'", "'var'", "'quantile'", "'dot'", "'moment'", "'erf'", "'erfinv'", "'any'", "'all'", "'edge'", "'median'", "'mode'", "'cumsum'", "'cumprod'", "'smootherstep'", "'remap'", "'repeat'", "'flatten'", "'append'", "'get_value'", "'flow_apply'", "'motion_mask'", "'flow_to_image'", "'where'", "'overlay'", "'pad'", "'cross'", "'matmul'", "'rife'", "'shape'", "'tensor'", "'stack_push'", "'stack_pop'", "'stack_clear'", "'stack_has'", "'stack_get'", "'int'", "'float'", "'upper'", "'lower'", "'trim'", "'split'", "'join'", "'find'", "'replace'", "'dilate'", "'erode'", "'morph_open'", "'morph_close'", "'rgb_to_oklab'", "'rgb_to_cielab'", "'oklab_to_rgb'", "'cielab_to_rgb'", "'rgb_to_hsv'", "'hsv_to_rgb'", "'int_to_rgb'", "'rgb_to_int'", "'interpolate_linear'", "'interpolate_area'", "'text_image'", "'as_nested_tensor'", "'if'", "'else'", "'while'", "'for'", "'in'", "'break'", "'continue'", "'return'", "'sort'", "'argsort'", "'argmin'", "'argmax'", "'softmax'", "'softmin'", "'unique'", "'flip'", "'startswith'", "'endswith'", "'squeeze'", "'unsqueeze'", "'roll'", "'cov'", "'entropy'", "'crop'", "'+'", "'-'", "'*'", "'/'", "'%'", "'^'", "'<<'", "'>>'", "'>='", "'>'", "'<='", "'<'", "'=='", "'='", "'+='", "'-='", "'*='", "'/='", "'%='", "'!='", "'|'", "'('", "')'", "','", "';'", "'->'", "'['", "']'", "'?'", "':'", "'{'", "'}'" ] symbolicNames = [ "", "SIN", "COS", "TAN", "ASIN", "ACOS", "ATAN", "ATAN2", "SINH", "COSH", "TANH", "ASINH", "ACOSH", "ATANH", "ABS", "SQRT", "LN", "LOG", "EXP", "SMIN", "SMAX", "TMIN", "TMAX", "TNORM", "SNORM", "FLOOR", "CEIL", "ROUND", "GAMMA", "POWE", "SIGM", "CLAMP", "SFFT", "SIFFT", "ANGL", "PRNT", "PRINT_SHAPE", "NVL", "LERP", "STEP", "SMOOTHSTEP", "FRACT", "RELU", "SOFTPLUS", "GELU", "SIGN", "MAP", "EZCONV", "CONV", "SWAP", "PERM", "RESHAPE", "RANGE", "LINSPACE", "LOGSPACE", "TOPK", "BOTK", "PINV", "SUM", "MEAN", "STD", "VAR", "QUARTILE", "PERCENTILE", "QUANTILE", "DOT", "MOMENT", "ERF", "ERFINV", "ANY", "ALL", "EDGE", "GAUSSIAN", "MEDIAN", "MODE", "CUMSUM", "CUMPROD", "TOPK_IND", "BOTK_IND", "CUBIC_EASE", "ELASTIC_EASE", "SINE_EASE", "SMOOTHERSTEP", "DIST", "REMAP", "COSSIM", "COUNT", "REPEAT", "FLATTEN", "APPEND", "GET_VALUE", "FLOW_APPLY", "BATCH_SHUFFLE", "MOTION_MASK", "FLOW_TO_IMAGE", "FLOW_MAG", "FLOW_ANG", "WHERE", "HISTOGRAM", "OVERLAY", "PAD", "CROSS", "MATMUL", "RIFE", "BNOT", "BITCOUNT", "SHAPE", "BAND", "XOR", "BOR", "TENSOR", "PUSH", "POP", "CLEAR", "HAS", "GET", "CONCAT", "INT", "FLOAT", "UPPER", "LOWER", "TRIM", "SPLIT", "JOIN", "SUBSTRING", "FIND", "REPLACE", "DILATE", "ERODE", "MORPH_OPEN", "MORPH_CLOSE", "RGB_TO_OKLAB", "RGB_TO_CIELAB", "OKLAB_TO_RGB", "CIELAB_TO_RGB", "RGB_TO_HSV", "HSV_TO_RGB", "INT_TO_RGB", "RGB_TO_INT", "INTERPOLATE_LINEAR", "INTERPOLATE_AREA", "INTERPOLATE_NEAREST", "TEXT_IMAGE", "AS_NESTED", "SVD", "DIAG", "IF", "ELSE", "WHILE", "FOR", "IN", "BREAK", "CONTINUE", "RETURN", "TIMESTAMP", "SORT", "ARGSORT", "ARGMIN", "ARGMAX", "SOFTMAX", "SOFTMIN", "UNIQUE", "FLIP", "STARTSWITH", "ENDSWITH", "SQUEEZE", "UNSQUEEZE", "ROLL", "COV", "CORR", "ENTROPY", "CROP", "NONE", "COORDS", "NOISE", "RAND", "CAUCHY", "EXPONENTIAL", "LOGNORMAL", "BERNOULLI", "POISSON", "GAMMADIST", "BETADIST", "LAPLACEDIST", "GUMBELDIST", "WEIBULLDIST", "CHI2DIST", "STUDENTTDIST", "PERLIN", "CELLULAR", "PLASMA", "RIDGED", "DOMAIN_WARP", "PLUS", "MINUS", "MULT", "DIV", "MOD", "POW", "LSHIFT", "RSHIFT", "GE", "GT", "LE", "LT", "EQ", "EQUEALS", "PLUS_EQ", "MINUS_EQ", "MULT_EQ", "DIV_EQ", "MOD_EQ", "NE", "PIPE", "LPAREN", "RPAREN", "COMMA", "SEMICOLON", "ARROW", "LBRACKET", "RBRACKET", "QUESTION", "COLON", "LBRACE", "RBRACE", "NUMBER", "CONSTANT", "STRING", "VARIABLE", "SL_COMMENT", "ML_COMMENT", "WS" ] ruleNames = [ "SIN", "COS", "TAN", "ASIN", "ACOS", "ATAN", "ATAN2", "SINH", "COSH", "TANH", "ASINH", "ACOSH", "ATANH", "ABS", "SQRT", "LN", "LOG", "EXP", "SMIN", "SMAX", "TMIN", "TMAX", "TNORM", "SNORM", "FLOOR", "CEIL", "ROUND", "GAMMA", "POWE", "SIGM", "CLAMP", "SFFT", "SIFFT", "ANGL", "PRNT", "PRINT_SHAPE", "NVL", "LERP", "STEP", "SMOOTHSTEP", "FRACT", "RELU", "SOFTPLUS", "GELU", "SIGN", "MAP", "EZCONV", "CONV", "SWAP", "PERM", "RESHAPE", "RANGE", "LINSPACE", "LOGSPACE", "TOPK", "BOTK", "PINV", "SUM", "MEAN", "STD", "VAR", "QUARTILE", "PERCENTILE", "QUANTILE", "DOT", "MOMENT", "ERF", "ERFINV", "ANY", "ALL", "EDGE", "GAUSSIAN", "MEDIAN", "MODE", "CUMSUM", "CUMPROD", "TOPK_IND", "BOTK_IND", "CUBIC_EASE", "ELASTIC_EASE", "SINE_EASE", "SMOOTHERSTEP", "DIST", "REMAP", "COSSIM", "COUNT", "REPEAT", "FLATTEN", "APPEND", "GET_VALUE", "FLOW_APPLY", "BATCH_SHUFFLE", "MOTION_MASK", "FLOW_TO_IMAGE", "FLOW_MAG", "FLOW_ANG", "WHERE", "HISTOGRAM", "OVERLAY", "PAD", "CROSS", "MATMUL", "RIFE", "BNOT", "BITCOUNT", "SHAPE", "BAND", "XOR", "BOR", "TENSOR", "PUSH", "POP", "CLEAR", "HAS", "GET", "CONCAT", "INT", "FLOAT", "UPPER", "LOWER", "TRIM", "SPLIT", "JOIN", "SUBSTRING", "FIND", "REPLACE", "DILATE", "ERODE", "MORPH_OPEN", "MORPH_CLOSE", "RGB_TO_OKLAB", "RGB_TO_CIELAB", "OKLAB_TO_RGB", "CIELAB_TO_RGB", "RGB_TO_HSV", "HSV_TO_RGB", "INT_TO_RGB", "RGB_TO_INT", "INTERPOLATE_LINEAR", "INTERPOLATE_AREA", "INTERPOLATE_NEAREST", "TEXT_IMAGE", "AS_NESTED", "SVD", "DIAG", "IF", "ELSE", "WHILE", "FOR", "IN", "BREAK", "CONTINUE", "RETURN", "TIMESTAMP", "SORT", "ARGSORT", "ARGMIN", "ARGMAX", "SOFTMAX", "SOFTMIN", "UNIQUE", "FLIP", "STARTSWITH", "ENDSWITH", "SQUEEZE", "UNSQUEEZE", "ROLL", "COV", "CORR", "ENTROPY", "CROP", "NONE", "COORDS", "NOISE", "RAND", "CAUCHY", "EXPONENTIAL", "LOGNORMAL", "BERNOULLI", "POISSON", "GAMMADIST", "BETADIST", "LAPLACEDIST", "GUMBELDIST", "WEIBULLDIST", "CHI2DIST", "STUDENTTDIST", "PERLIN", "CELLULAR", "PLASMA", "RIDGED", "DOMAIN_WARP", "PLUS", "MINUS", "MULT", "DIV", "MOD", "POW", "LSHIFT", "RSHIFT", "GE", "GT", "LE", "LT", "EQ", "EQUEALS", "PLUS_EQ", "MINUS_EQ", "MULT_EQ", "DIV_EQ", "MOD_EQ", "NE", "PIPE", "LPAREN", "RPAREN", "COMMA", "SEMICOLON", "ARROW", "LBRACKET", "RBRACKET", "QUESTION", "COLON", "LBRACE", "RBRACE", "NUMBER", "CONSTANT", "STRING", "VARIABLE", "SL_COMMENT", "ML_COMMENT", "WS" ] grammarFileName = "MathExpr.g4" def __init__(self, input=None, output:TextIO = sys.stdout): super().__init__(input, output) self.checkVersion("4.13.2") self._interp = LexerATNSimulator(self, self.atn, self.decisionsToDFA, PredictionContextCache()) self._actions = None self._predicates = None