# 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 [ 4,0,199,2223,6,-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, 2,197,7,197,2,198,7,198,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,2,1,2, 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, 1,35,1,35,1,35,1,35,1,35,1,35,3,35,592,8,35,1,36,1,36,1,36,1,36, 1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,3,36,607,8,36,1,37, 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, 1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,3,46,683,8,46,1,47,1,47, 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, 3,47,700,8,47,1,48,1,48,1,48,1,48,1,48,1,49,1,49,1,49,1,49,1,49, 1,49,1,49,1,49,1,49,1,49,1,49,3,49,718,8,49,1,50,1,50,1,50,1,50, 1,50,1,50,1,50,1,50,1,50,1,50,1,50,3,50,731,8,50,1,51,1,51,1,51, 1,51,1,51,1,51,1,52,1,52,1,52,1,52,1,52,1,53,1,53,1,53,1,53,1,53, 1,54,1,54,1,54,1,54,1,54,1,55,1,55,1,55,1,55,1,56,1,56,1,56,1,56, 1,56,1,57,1,57,1,57,1,57,1,58,1,58,1,58,1,58,1,59,1,59,1,59,1,59, 1,59,1,59,1,59,1,59,1,59,1,59,1,59,1,59,1,59,1,59,1,59,3,59,786, 8,59,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60, 1,60,1,60,1,60,3,60,803,8,60,1,61,1,61,1,61,1,61,1,61,1,61,1,61, 1,61,1,61,1,62,1,62,1,62,1,62,1,63,1,63,1,63,1,63,1,63,1,63,1,63, 1,64,1,64,1,64,1,64,1,65,1,65,1,65,1,65,1,66,1,66,1,66,1,66,1,66, 1,67,1,67,1,67,1,67,1,67,1,67,1,67,1,67,1,67,1,67,1,67,1,67,3,67, 850,8,67,1,68,1,68,1,68,1,68,1,68,1,68,1,68,1,69,1,69,1,69,1,69, 1,69,1,70,1,70,1,70,1,70,1,70,1,70,1,70,1,71,1,71,1,71,1,71,1,71, 1,71,1,71,1,71,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,72, 1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,72,3,72,899,8,72, 1,73,1,73,1,73,1,73,1,73,1,73,1,73,1,73,1,73,1,73,1,73,1,73,1,73, 1,73,1,73,1,73,1,73,1,73,1,73,1,73,3,73,921,8,73,1,74,1,74,1,74, 1,74,1,74,1,74,1,74,1,74,1,74,1,74,1,74,1,74,1,74,1,74,1,74,3,74, 938,8,74,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75, 1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75,3,75,959,8,75,1,76,1,76, 1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,3,76,974, 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, 1,77,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78, 3,78,1001,8,78,1,79,1,79,1,79,1,79,1,79,1,79,1,80,1,80,1,80,1,80, 1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80, 1,80,1,80,1,80,1,80,1,80,1,80,3,80,1032,8,80,1,81,1,81,1,81,1,81, 1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,3,81,1048,8,81, 1,82,1,82,1,82,1,82,1,82,1,82,1,82,1,82,1,83,1,83,1,83,1,83,1,83, 1,83,1,83,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,85, 1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,86,1,86,1,86, 1,86,1,86,1,86,1,86,1,86,1,86,1,86,1,86,1,86,1,86,1,86,1,86,1,86, 1,86,1,86,1,86,1,86,3,86,1106,8,86,1,87,1,87,1,87,1,87,1,87,1,87, 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, 1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,89,1,89,1,89,1,89,1,89,1,89, 1,89,1,89,1,90,1,90,1,90,1,90,1,91,1,91,1,91,1,91,1,91,1,91,1,92, 1,92,1,92,1,92,1,92,1,92,1,92,1,93,1,93,1,93,1,93,1,93,1,94,1,94, 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, 3,94,1179,8,94,1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,95, 1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,95,3,95, 1203,8,95,1,96,1,96,1,96,1,96,1,96,1,96,1,97,1,97,1,97,1,97,1,97, 1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,97,3,97,1226,8,97, 1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98, 1,98,1,98,3,98,1243,8,98,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99, 1,99,1,99,1,99,1,99,1,99,3,99,1258,8,99,1,100,1,100,1,100,1,100, 1,100,1,100,1,100,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101, 1,101,1,101,1,101,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102, 1,102,1,102,1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,103, 1,103,1,103,1,103,1,104,1,104,1,104,1,104,1,104,1,104,1,104,1,104, 1,104,1,104,1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105, 1,105,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106, 1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,3,106, 1340,8,106,1,107,1,107,1,107,1,107,1,108,1,108,1,108,1,108,1,108, 1,108,1,109,1,109,1,109,1,109,1,109,1,109,1,110,1,110,1,110,1,110, 1,110,1,110,1,111,1,111,1,111,1,111,1,111,1,112,1,112,1,112,1,112, 1,112,1,112,1,113,1,113,1,113,1,113,1,113,1,114,1,114,1,114,1,114, 1,114,1,114,1,114,1,114,1,114,1,114,1,115,1,115,1,115,1,115,1,115, 1,115,1,115,1,116,1,116,1,116,1,116,1,116,1,117,1,117,1,117,1,117, 1,117,1,117,1,117,1,117,1,118,1,118,1,118,1,118,1,118,1,118,1,118, 1,119,1,119,1,119,1,119,1,119,1,119,1,120,1,120,1,120,1,120,1,120, 1,120,1,120,1,120,1,120,1,120,1,120,1,121,1,121,1,121,1,121,1,121, 1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,122,1,122,1,122,1,122, 1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,123,1,123,1,123,1,123, 1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,124,1,124,1,124,1,124, 1,124,1,124,1,124,1,124,1,124,1,124,1,124,1,125,1,125,1,125,1,125, 1,125,1,125,1,125,1,125,1,125,1,125,1,125,1,126,1,126,1,126,1,127, 1,127,1,127,1,127,1,127,1,128,1,128,1,128,1,128,1,128,1,128,1,129, 1,129,1,129,1,129,1,130,1,130,1,130,1,131,1,131,1,131,1,131,1,131, 1,131,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,133, 1,133,1,133,1,133,1,133,1,133,1,133,1,134,1,134,1,134,1,134,1,134, 1,134,1,134,1,134,1,134,1,134,1,135,1,135,1,135,1,135,1,135,1,136, 1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,137,1,137,1,137,1,137, 1,137,1,137,1,137,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,139, 1,139,1,139,1,139,1,139,1,139,1,139,1,139,1,140,1,140,1,140,1,140, 1,140,1,140,1,140,1,140,1,141,1,141,1,141,1,141,1,141,1,141,1,141, 1,142,1,142,1,142,1,142,1,142,1,143,1,143,1,143,1,143,1,144,1,144, 1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144, 1,144,1,144,3,144,1617,8,144,1,145,1,145,1,145,1,145,1,145,1,145, 1,145,1,145,1,146,1,146,1,146,1,146,1,146,1,147,1,147,1,147,1,147, 1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147, 1,147,3,147,1648,8,147,1,148,1,148,1,148,1,148,1,148,1,148,1,148, 1,148,1,148,1,148,1,148,1,148,1,148,1,148,1,148,1,148,1,148,1,148, 1,148,1,148,1,148,1,148,1,148,3,148,1673,8,148,1,149,1,149,1,149, 1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149, 1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,3,149,1698, 8,149,1,150,1,150,1,150,1,150,1,150,1,150,1,150,1,150,1,150,1,150, 1,150,1,150,1,150,1,150,1,150,1,150,1,150,1,150,3,150,1718,8,150, 1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151, 1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151, 1,151,3,151,1743,8,151,1,152,1,152,1,152,1,152,1,152,1,152,1,152, 1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,152, 1,152,1,152,1,152,1,152,1,152,3,152,1768,8,152,1,153,1,153,1,153, 1,153,1,153,1,153,1,153,1,153,1,153,1,153,1,153,1,153,1,153,1,153, 1,153,1,153,1,153,1,153,1,153,1,153,1,153,3,153,1791,8,153,1,154, 1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154, 1,154,1,154,1,154,1,154,1,154,1,154,1,154,3,154,1812,8,154,1,155, 1,155,1,155,1,155,1,155,1,155,1,155,1,155,1,155,1,155,1,155,1,155, 1,155,1,155,1,155,1,155,1,155,3,155,1831,8,155,1,156,1,156,1,156, 1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156, 1,156,1,156,1,156,1,156,1,156,3,156,1852,8,156,1,157,1,157,1,157, 1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157, 1,157,1,157,1,157,1,157,1,157,3,157,1873,8,157,1,158,1,158,1,158, 1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158, 1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158,3,158,1898, 8,158,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159, 1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,3,159,1919, 8,159,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160, 1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,3,160,1940, 8,160,1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161, 1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161,3,161, 1962,8,161,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162, 1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162,3,162,1982, 8,162,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163, 1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163, 1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163, 1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163, 1,163,1,163,1,163,1,163,1,163,3,163,2032,8,163,1,164,1,164,1,164, 1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164, 1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164, 1,164,1,164,1,164,3,164,2062,8,164,1,165,1,165,1,166,1,166,1,167, 1,167,1,168,1,168,1,169,1,169,1,170,1,170,1,171,1,171,1,171,1,172, 1,172,1,172,1,173,1,173,1,173,1,174,1,174,1,175,1,175,1,175,1,176, 1,176,1,177,1,177,1,177,1,178,1,178,1,179,1,179,1,179,1,180,1,180, 1,181,1,181,1,182,1,182,1,183,1,183,1,184,1,184,1,185,1,185,1,185, 1,186,1,186,1,187,1,187,1,188,1,188,1,189,1,189,1,190,1,190,1,191, 1,191,1,192,4,192,2126,8,192,11,192,12,192,2127,1,192,1,192,5,192, 2132,8,192,10,192,12,192,2135,9,192,3,192,2137,8,192,1,192,1,192, 4,192,2141,8,192,11,192,12,192,2142,3,192,2145,8,192,1,192,1,192, 3,192,2149,8,192,1,192,4,192,2152,8,192,11,192,12,192,2153,3,192, 2156,8,192,1,193,1,193,1,193,1,193,1,193,3,193,2163,8,193,1,194, 1,194,1,194,1,194,5,194,2169,8,194,10,194,12,194,2172,9,194,1,194, 1,194,1,194,1,194,1,194,5,194,2179,8,194,10,194,12,194,2182,9,194, 1,194,3,194,2185,8,194,1,195,1,195,5,195,2189,8,195,10,195,12,195, 2192,9,195,1,196,1,196,5,196,2196,8,196,10,196,12,196,2199,9,196, 1,196,1,196,1,197,1,197,1,197,1,197,5,197,2207,8,197,10,197,12,197, 2210,9,197,1,197,1,197,1,197,1,197,1,197,1,198,4,198,2218,8,198, 11,198,12,198,2219,1,198,1,198,1,2208,0,199,1,1,3,2,5,3,7,4,9,5, 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, 194,389,195,391,196,393,197,395,198,397,199,1,0,9,1,0,48,57,2,0, 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, 97,122,2,0,10,10,13,13,3,0,9,10,13,13,32,32,2295,0,1,1,0,0,0,0,3, 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, 0,0,0,1,399,1,0,0,0,3,403,1,0,0,0,5,407,1,0,0,0,7,411,1,0,0,0,9, 416,1,0,0,0,11,421,1,0,0,0,13,426,1,0,0,0,15,432,1,0,0,0,17,437, 1,0,0,0,19,442,1,0,0,0,21,447,1,0,0,0,23,453,1,0,0,0,25,459,1,0, 0,0,27,465,1,0,0,0,29,469,1,0,0,0,31,474,1,0,0,0,33,477,1,0,0,0, 35,481,1,0,0,0,37,485,1,0,0,0,39,490,1,0,0,0,41,495,1,0,0,0,43,500, 1,0,0,0,45,505,1,0,0,0,47,511,1,0,0,0,49,517,1,0,0,0,51,523,1,0, 0,0,53,528,1,0,0,0,55,534,1,0,0,0,57,540,1,0,0,0,59,544,1,0,0,0, 61,549,1,0,0,0,63,555,1,0,0,0,65,559,1,0,0,0,67,564,1,0,0,0,69,570, 1,0,0,0,71,591,1,0,0,0,73,606,1,0,0,0,75,608,1,0,0,0,77,613,1,0, 0,0,79,618,1,0,0,0,81,629,1,0,0,0,83,635,1,0,0,0,85,640,1,0,0,0, 87,649,1,0,0,0,89,654,1,0,0,0,91,659,1,0,0,0,93,682,1,0,0,0,95,699, 1,0,0,0,97,701,1,0,0,0,99,717,1,0,0,0,101,730,1,0,0,0,103,732,1, 0,0,0,105,738,1,0,0,0,107,743,1,0,0,0,109,748,1,0,0,0,111,753,1, 0,0,0,113,757,1,0,0,0,115,762,1,0,0,0,117,766,1,0,0,0,119,785,1, 0,0,0,121,802,1,0,0,0,123,804,1,0,0,0,125,813,1,0,0,0,127,817,1, 0,0,0,129,824,1,0,0,0,131,828,1,0,0,0,133,832,1,0,0,0,135,849,1, 0,0,0,137,851,1,0,0,0,139,858,1,0,0,0,141,863,1,0,0,0,143,870,1, 0,0,0,145,898,1,0,0,0,147,920,1,0,0,0,149,937,1,0,0,0,151,958,1, 0,0,0,153,973,1,0,0,0,155,975,1,0,0,0,157,1000,1,0,0,0,159,1002, 1,0,0,0,161,1031,1,0,0,0,163,1047,1,0,0,0,165,1049,1,0,0,0,167,1057, 1,0,0,0,169,1064,1,0,0,0,171,1074,1,0,0,0,173,1105,1,0,0,0,175,1107, 1,0,0,0,177,1119,1,0,0,0,179,1133,1,0,0,0,181,1141,1,0,0,0,183,1145, 1,0,0,0,185,1151,1,0,0,0,187,1158,1,0,0,0,189,1178,1,0,0,0,191,1202, 1,0,0,0,193,1204,1,0,0,0,195,1225,1,0,0,0,197,1242,1,0,0,0,199,1257, 1,0,0,0,201,1259,1,0,0,0,203,1266,1,0,0,0,205,1277,1,0,0,0,207,1287, 1,0,0,0,209,1299,1,0,0,0,211,1309,1,0,0,0,213,1339,1,0,0,0,215,1341, 1,0,0,0,217,1345,1,0,0,0,219,1351,1,0,0,0,221,1357,1,0,0,0,223,1363, 1,0,0,0,225,1368,1,0,0,0,227,1374,1,0,0,0,229,1379,1,0,0,0,231,1389, 1,0,0,0,233,1396,1,0,0,0,235,1401,1,0,0,0,237,1409,1,0,0,0,239,1416, 1,0,0,0,241,1422,1,0,0,0,243,1433,1,0,0,0,245,1445,1,0,0,0,247,1456, 1,0,0,0,249,1467,1,0,0,0,251,1478,1,0,0,0,253,1489,1,0,0,0,255,1492, 1,0,0,0,257,1497,1,0,0,0,259,1503,1,0,0,0,261,1507,1,0,0,0,263,1510, 1,0,0,0,265,1516,1,0,0,0,267,1525,1,0,0,0,269,1532,1,0,0,0,271,1542, 1,0,0,0,273,1547,1,0,0,0,275,1555,1,0,0,0,277,1562,1,0,0,0,279,1569, 1,0,0,0,281,1577,1,0,0,0,283,1585,1,0,0,0,285,1592,1,0,0,0,287,1597, 1,0,0,0,289,1616,1,0,0,0,291,1618,1,0,0,0,293,1626,1,0,0,0,295,1647, 1,0,0,0,297,1672,1,0,0,0,299,1697,1,0,0,0,301,1717,1,0,0,0,303,1742, 1,0,0,0,305,1767,1,0,0,0,307,1790,1,0,0,0,309,1811,1,0,0,0,311,1830, 1,0,0,0,313,1851,1,0,0,0,315,1872,1,0,0,0,317,1897,1,0,0,0,319,1918, 1,0,0,0,321,1939,1,0,0,0,323,1961,1,0,0,0,325,1981,1,0,0,0,327,2031, 1,0,0,0,329,2061,1,0,0,0,331,2063,1,0,0,0,333,2065,1,0,0,0,335,2067, 1,0,0,0,337,2069,1,0,0,0,339,2071,1,0,0,0,341,2073,1,0,0,0,343,2075, 1,0,0,0,345,2078,1,0,0,0,347,2081,1,0,0,0,349,2084,1,0,0,0,351,2086, 1,0,0,0,353,2089,1,0,0,0,355,2091,1,0,0,0,357,2094,1,0,0,0,359,2096, 1,0,0,0,361,2099,1,0,0,0,363,2101,1,0,0,0,365,2103,1,0,0,0,367,2105, 1,0,0,0,369,2107,1,0,0,0,371,2109,1,0,0,0,373,2112,1,0,0,0,375,2114, 1,0,0,0,377,2116,1,0,0,0,379,2118,1,0,0,0,381,2120,1,0,0,0,383,2122, 1,0,0,0,385,2144,1,0,0,0,387,2162,1,0,0,0,389,2184,1,0,0,0,391,2186, 1,0,0,0,393,2193,1,0,0,0,395,2202,1,0,0,0,397,2217,1,0,0,0,399,400, 5,115,0,0,400,401,5,105,0,0,401,402,5,110,0,0,402,2,1,0,0,0,403, 404,5,99,0,0,404,405,5,111,0,0,405,406,5,115,0,0,406,4,1,0,0,0,407, 408,5,116,0,0,408,409,5,97,0,0,409,410,5,110,0,0,410,6,1,0,0,0,411, 412,5,97,0,0,412,413,5,115,0,0,413,414,5,105,0,0,414,415,5,110,0, 0,415,8,1,0,0,0,416,417,5,97,0,0,417,418,5,99,0,0,418,419,5,111, 0,0,419,420,5,115,0,0,420,10,1,0,0,0,421,422,5,97,0,0,422,423,5, 116,0,0,423,424,5,97,0,0,424,425,5,110,0,0,425,12,1,0,0,0,426,427, 5,97,0,0,427,428,5,116,0,0,428,429,5,97,0,0,429,430,5,110,0,0,430, 431,5,50,0,0,431,14,1,0,0,0,432,433,5,115,0,0,433,434,5,105,0,0, 434,435,5,110,0,0,435,436,5,104,0,0,436,16,1,0,0,0,437,438,5,99, 0,0,438,439,5,111,0,0,439,440,5,115,0,0,440,441,5,104,0,0,441,18, 1,0,0,0,442,443,5,116,0,0,443,444,5,97,0,0,444,445,5,110,0,0,445, 446,5,104,0,0,446,20,1,0,0,0,447,448,5,97,0,0,448,449,5,115,0,0, 449,450,5,105,0,0,450,451,5,110,0,0,451,452,5,104,0,0,452,22,1,0, 0,0,453,454,5,97,0,0,454,455,5,99,0,0,455,456,5,111,0,0,456,457, 5,115,0,0,457,458,5,104,0,0,458,24,1,0,0,0,459,460,5,97,0,0,460, 461,5,116,0,0,461,462,5,97,0,0,462,463,5,110,0,0,463,464,5,104,0, 0,464,26,1,0,0,0,465,466,5,97,0,0,466,467,5,98,0,0,467,468,5,115, 0,0,468,28,1,0,0,0,469,470,5,115,0,0,470,471,5,113,0,0,471,472,5, 114,0,0,472,473,5,116,0,0,473,30,1,0,0,0,474,475,5,108,0,0,475,476, 5,110,0,0,476,32,1,0,0,0,477,478,5,108,0,0,478,479,5,111,0,0,479, 480,5,103,0,0,480,34,1,0,0,0,481,482,5,101,0,0,482,483,5,120,0,0, 483,484,5,112,0,0,484,36,1,0,0,0,485,486,5,115,0,0,486,487,5,109, 0,0,487,488,5,105,0,0,488,489,5,110,0,0,489,38,1,0,0,0,490,491,5, 115,0,0,491,492,5,109,0,0,492,493,5,97,0,0,493,494,5,120,0,0,494, 40,1,0,0,0,495,496,5,116,0,0,496,497,5,109,0,0,497,498,5,105,0,0, 498,499,5,110,0,0,499,42,1,0,0,0,500,501,5,116,0,0,501,502,5,109, 0,0,502,503,5,97,0,0,503,504,5,120,0,0,504,44,1,0,0,0,505,506,5, 116,0,0,506,507,5,110,0,0,507,508,5,111,0,0,508,509,5,114,0,0,509, 510,5,109,0,0,510,46,1,0,0,0,511,512,5,115,0,0,512,513,5,110,0,0, 513,514,5,111,0,0,514,515,5,114,0,0,515,516,5,109,0,0,516,48,1,0, 0,0,517,518,5,102,0,0,518,519,5,108,0,0,519,520,5,111,0,0,520,521, 5,111,0,0,521,522,5,114,0,0,522,50,1,0,0,0,523,524,5,99,0,0,524, 525,5,101,0,0,525,526,5,105,0,0,526,527,5,108,0,0,527,52,1,0,0,0, 528,529,5,114,0,0,529,530,5,111,0,0,530,531,5,117,0,0,531,532,5, 110,0,0,532,533,5,100,0,0,533,54,1,0,0,0,534,535,5,103,0,0,535,536, 5,97,0,0,536,537,5,109,0,0,537,538,5,109,0,0,538,539,5,97,0,0,539, 56,1,0,0,0,540,541,5,112,0,0,541,542,5,111,0,0,542,543,5,119,0,0, 543,58,1,0,0,0,544,545,5,115,0,0,545,546,5,105,0,0,546,547,5,103, 0,0,547,548,5,109,0,0,548,60,1,0,0,0,549,550,5,99,0,0,550,551,5, 108,0,0,551,552,5,97,0,0,552,553,5,109,0,0,553,554,5,112,0,0,554, 62,1,0,0,0,555,556,5,102,0,0,556,557,5,102,0,0,557,558,5,116,0,0, 558,64,1,0,0,0,559,560,5,105,0,0,560,561,5,102,0,0,561,562,5,102, 0,0,562,563,5,116,0,0,563,66,1,0,0,0,564,565,5,97,0,0,565,566,5, 110,0,0,566,567,5,103,0,0,567,568,5,108,0,0,568,569,5,101,0,0,569, 68,1,0,0,0,570,571,5,112,0,0,571,572,5,114,0,0,572,573,5,105,0,0, 573,574,5,110,0,0,574,575,5,116,0,0,575,70,1,0,0,0,576,577,5,112, 0,0,577,578,5,114,0,0,578,579,5,105,0,0,579,580,5,110,0,0,580,581, 5,116,0,0,581,582,5,95,0,0,582,583,5,115,0,0,583,584,5,104,0,0,584, 585,5,97,0,0,585,586,5,112,0,0,586,592,5,101,0,0,587,588,5,112,0, 0,588,589,5,115,0,0,589,590,5,104,0,0,590,592,5,112,0,0,591,576, 1,0,0,0,591,587,1,0,0,0,592,72,1,0,0,0,593,594,5,110,0,0,594,595, 5,118,0,0,595,607,5,108,0,0,596,597,5,110,0,0,597,598,5,97,0,0,598, 599,5,110,0,0,599,600,5,95,0,0,600,601,5,116,0,0,601,602,5,111,0, 0,602,603,5,95,0,0,603,604,5,110,0,0,604,605,5,117,0,0,605,607,5, 109,0,0,606,593,1,0,0,0,606,596,1,0,0,0,607,74,1,0,0,0,608,609,5, 108,0,0,609,610,5,101,0,0,610,611,5,114,0,0,611,612,5,112,0,0,612, 76,1,0,0,0,613,614,5,115,0,0,614,615,5,116,0,0,615,616,5,101,0,0, 616,617,5,112,0,0,617,78,1,0,0,0,618,619,5,115,0,0,619,620,5,109, 0,0,620,621,5,111,0,0,621,622,5,111,0,0,622,623,5,116,0,0,623,624, 5,104,0,0,624,625,5,115,0,0,625,626,5,116,0,0,626,627,5,101,0,0, 627,628,5,112,0,0,628,80,1,0,0,0,629,630,5,102,0,0,630,631,5,114, 0,0,631,632,5,97,0,0,632,633,5,99,0,0,633,634,5,116,0,0,634,82,1, 0,0,0,635,636,5,114,0,0,636,637,5,101,0,0,637,638,5,108,0,0,638, 639,5,117,0,0,639,84,1,0,0,0,640,641,5,115,0,0,641,642,5,111,0,0, 642,643,5,102,0,0,643,644,5,116,0,0,644,645,5,112,0,0,645,646,5, 108,0,0,646,647,5,117,0,0,647,648,5,115,0,0,648,86,1,0,0,0,649,650, 5,103,0,0,650,651,5,101,0,0,651,652,5,108,0,0,652,653,5,117,0,0, 653,88,1,0,0,0,654,655,5,115,0,0,655,656,5,105,0,0,656,657,5,103, 0,0,657,658,5,110,0,0,658,90,1,0,0,0,659,660,5,109,0,0,660,661,5, 97,0,0,661,662,5,112,0,0,662,92,1,0,0,0,663,664,5,101,0,0,664,665, 5,122,0,0,665,666,5,99,0,0,666,667,5,111,0,0,667,668,5,110,0,0,668, 669,5,118,0,0,669,670,5,111,0,0,670,671,5,108,0,0,671,672,5,117, 0,0,672,673,5,116,0,0,673,674,5,105,0,0,674,675,5,111,0,0,675,683, 5,110,0,0,676,677,5,101,0,0,677,678,5,122,0,0,678,679,5,99,0,0,679, 680,5,111,0,0,680,681,5,110,0,0,681,683,5,118,0,0,682,663,1,0,0, 0,682,676,1,0,0,0,683,94,1,0,0,0,684,685,5,99,0,0,685,686,5,111, 0,0,686,687,5,110,0,0,687,688,5,118,0,0,688,689,5,111,0,0,689,690, 5,108,0,0,690,691,5,117,0,0,691,692,5,116,0,0,692,693,5,105,0,0, 693,694,5,111,0,0,694,700,5,110,0,0,695,696,5,99,0,0,696,697,5,111, 0,0,697,698,5,110,0,0,698,700,5,118,0,0,699,684,1,0,0,0,699,695, 1,0,0,0,700,96,1,0,0,0,701,702,5,115,0,0,702,703,5,119,0,0,703,704, 5,97,0,0,704,705,5,112,0,0,705,98,1,0,0,0,706,707,5,112,0,0,707, 708,5,101,0,0,708,709,5,114,0,0,709,710,5,109,0,0,710,711,5,117, 0,0,711,712,5,116,0,0,712,718,5,101,0,0,713,714,5,112,0,0,714,715, 5,101,0,0,715,716,5,114,0,0,716,718,5,109,0,0,717,706,1,0,0,0,717, 713,1,0,0,0,718,100,1,0,0,0,719,720,5,114,0,0,720,721,5,101,0,0, 721,722,5,115,0,0,722,723,5,104,0,0,723,724,5,97,0,0,724,725,5,112, 0,0,725,731,5,101,0,0,726,727,5,114,0,0,727,728,5,115,0,0,728,729, 5,104,0,0,729,731,5,112,0,0,730,719,1,0,0,0,730,726,1,0,0,0,731, 102,1,0,0,0,732,733,5,114,0,0,733,734,5,97,0,0,734,735,5,110,0,0, 735,736,5,103,0,0,736,737,5,101,0,0,737,104,1,0,0,0,738,739,5,116, 0,0,739,740,5,111,0,0,740,741,5,112,0,0,741,742,5,107,0,0,742,106, 1,0,0,0,743,744,5,98,0,0,744,745,5,111,0,0,745,746,5,116,0,0,746, 747,5,107,0,0,747,108,1,0,0,0,748,749,5,112,0,0,749,750,5,105,0, 0,750,751,5,110,0,0,751,752,5,118,0,0,752,110,1,0,0,0,753,754,5, 115,0,0,754,755,5,117,0,0,755,756,5,109,0,0,756,112,1,0,0,0,757, 758,5,109,0,0,758,759,5,101,0,0,759,760,5,97,0,0,760,761,5,110,0, 0,761,114,1,0,0,0,762,763,5,115,0,0,763,764,5,116,0,0,764,765,5, 100,0,0,765,116,1,0,0,0,766,767,5,118,0,0,767,768,5,97,0,0,768,769, 5,114,0,0,769,118,1,0,0,0,770,771,5,113,0,0,771,772,5,117,0,0,772, 773,5,97,0,0,773,774,5,114,0,0,774,775,5,116,0,0,775,776,5,105,0, 0,776,777,5,108,0,0,777,786,5,101,0,0,778,779,5,113,0,0,779,780, 5,117,0,0,780,781,5,97,0,0,781,782,5,114,0,0,782,783,5,116,0,0,783, 784,5,105,0,0,784,786,5,108,0,0,785,770,1,0,0,0,785,778,1,0,0,0, 786,120,1,0,0,0,787,788,5,112,0,0,788,789,5,101,0,0,789,790,5,114, 0,0,790,791,5,99,0,0,791,792,5,101,0,0,792,793,5,110,0,0,793,794, 5,116,0,0,794,795,5,105,0,0,795,796,5,108,0,0,796,803,5,101,0,0, 797,798,5,112,0,0,798,799,5,114,0,0,799,800,5,99,0,0,800,801,5,110, 0,0,801,803,5,116,0,0,802,787,1,0,0,0,802,797,1,0,0,0,803,122,1, 0,0,0,804,805,5,113,0,0,805,806,5,117,0,0,806,807,5,97,0,0,807,808, 5,110,0,0,808,809,5,116,0,0,809,810,5,105,0,0,810,811,5,108,0,0, 811,812,5,101,0,0,812,124,1,0,0,0,813,814,5,100,0,0,814,815,5,111, 0,0,815,816,5,116,0,0,816,126,1,0,0,0,817,818,5,109,0,0,818,819, 5,111,0,0,819,820,5,109,0,0,820,821,5,101,0,0,821,822,5,110,0,0, 822,823,5,116,0,0,823,128,1,0,0,0,824,825,5,97,0,0,825,826,5,110, 0,0,826,827,5,121,0,0,827,130,1,0,0,0,828,829,5,97,0,0,829,830,5, 108,0,0,830,831,5,108,0,0,831,132,1,0,0,0,832,833,5,101,0,0,833, 834,5,100,0,0,834,835,5,103,0,0,835,836,5,101,0,0,836,134,1,0,0, 0,837,838,5,98,0,0,838,839,5,108,0,0,839,840,5,117,0,0,840,850,5, 114,0,0,841,842,5,103,0,0,842,843,5,97,0,0,843,844,5,117,0,0,844, 845,5,115,0,0,845,846,5,115,0,0,846,847,5,105,0,0,847,848,5,97,0, 0,848,850,5,110,0,0,849,837,1,0,0,0,849,841,1,0,0,0,850,136,1,0, 0,0,851,852,5,109,0,0,852,853,5,101,0,0,853,854,5,100,0,0,854,855, 5,105,0,0,855,856,5,97,0,0,856,857,5,110,0,0,857,138,1,0,0,0,858, 859,5,109,0,0,859,860,5,111,0,0,860,861,5,100,0,0,861,862,5,101, 0,0,862,140,1,0,0,0,863,864,5,99,0,0,864,865,5,117,0,0,865,866,5, 109,0,0,866,867,5,115,0,0,867,868,5,117,0,0,868,869,5,109,0,0,869, 142,1,0,0,0,870,871,5,99,0,0,871,872,5,117,0,0,872,873,5,109,0,0, 873,874,5,112,0,0,874,875,5,114,0,0,875,876,5,111,0,0,876,877,5, 100,0,0,877,144,1,0,0,0,878,879,5,116,0,0,879,880,5,111,0,0,880, 881,5,112,0,0,881,882,5,107,0,0,882,883,5,95,0,0,883,884,5,105,0, 0,884,885,5,110,0,0,885,899,5,100,0,0,886,887,5,116,0,0,887,888, 5,111,0,0,888,889,5,112,0,0,889,890,5,107,0,0,890,891,5,95,0,0,891, 892,5,105,0,0,892,893,5,110,0,0,893,894,5,100,0,0,894,895,5,105, 0,0,895,896,5,99,0,0,896,897,5,101,0,0,897,899,5,115,0,0,898,878, 1,0,0,0,898,886,1,0,0,0,899,146,1,0,0,0,900,901,5,98,0,0,901,902, 5,111,0,0,902,903,5,116,0,0,903,904,5,107,0,0,904,905,5,95,0,0,905, 906,5,105,0,0,906,907,5,110,0,0,907,921,5,100,0,0,908,909,5,98,0, 0,909,910,5,111,0,0,910,911,5,116,0,0,911,912,5,107,0,0,912,913, 5,95,0,0,913,914,5,105,0,0,914,915,5,110,0,0,915,916,5,100,0,0,916, 917,5,105,0,0,917,918,5,99,0,0,918,919,5,101,0,0,919,921,5,115,0, 0,920,900,1,0,0,0,920,908,1,0,0,0,921,148,1,0,0,0,922,923,5,99,0, 0,923,924,5,117,0,0,924,925,5,98,0,0,925,926,5,105,0,0,926,927,5, 99,0,0,927,928,5,95,0,0,928,929,5,101,0,0,929,930,5,97,0,0,930,931, 5,115,0,0,931,938,5,101,0,0,932,933,5,99,0,0,933,934,5,117,0,0,934, 935,5,98,0,0,935,936,5,105,0,0,936,938,5,99,0,0,937,922,1,0,0,0, 937,932,1,0,0,0,938,150,1,0,0,0,939,940,5,101,0,0,940,941,5,108, 0,0,941,942,5,97,0,0,942,943,5,115,0,0,943,944,5,116,0,0,944,945, 5,105,0,0,945,946,5,99,0,0,946,947,5,95,0,0,947,948,5,101,0,0,948, 949,5,97,0,0,949,950,5,115,0,0,950,959,5,101,0,0,951,952,5,101,0, 0,952,953,5,108,0,0,953,954,5,97,0,0,954,955,5,115,0,0,955,956,5, 116,0,0,956,957,5,105,0,0,957,959,5,99,0,0,958,939,1,0,0,0,958,951, 1,0,0,0,959,152,1,0,0,0,960,961,5,115,0,0,961,962,5,105,0,0,962, 963,5,110,0,0,963,964,5,101,0,0,964,965,5,95,0,0,965,966,5,101,0, 0,966,967,5,97,0,0,967,968,5,115,0,0,968,974,5,101,0,0,969,970,5, 115,0,0,970,971,5,105,0,0,971,972,5,110,0,0,972,974,5,101,0,0,973, 960,1,0,0,0,973,969,1,0,0,0,974,154,1,0,0,0,975,976,5,115,0,0,976, 977,5,109,0,0,977,978,5,111,0,0,978,979,5,111,0,0,979,980,5,116, 0,0,980,981,5,104,0,0,981,982,5,101,0,0,982,983,5,114,0,0,983,984, 5,115,0,0,984,985,5,116,0,0,985,986,5,101,0,0,986,987,5,112,0,0, 987,156,1,0,0,0,988,989,5,100,0,0,989,990,5,105,0,0,990,991,5,115, 0,0,991,1001,5,116,0,0,992,993,5,100,0,0,993,994,5,105,0,0,994,995, 5,115,0,0,995,996,5,116,0,0,996,997,5,97,0,0,997,998,5,110,0,0,998, 999,5,99,0,0,999,1001,5,101,0,0,1000,988,1,0,0,0,1000,992,1,0,0, 0,1001,158,1,0,0,0,1002,1003,5,114,0,0,1003,1004,5,101,0,0,1004, 1005,5,109,0,0,1005,1006,5,97,0,0,1006,1007,5,112,0,0,1007,160,1, 0,0,0,1008,1009,5,99,0,0,1009,1010,5,111,0,0,1010,1011,5,115,0,0, 1011,1012,5,115,0,0,1012,1013,5,105,0,0,1013,1032,5,109,0,0,1014, 1015,5,99,0,0,1015,1016,5,111,0,0,1016,1017,5,115,0,0,1017,1018, 5,105,0,0,1018,1019,5,110,0,0,1019,1020,5,101,0,0,1020,1021,5,95, 0,0,1021,1022,5,115,0,0,1022,1023,5,105,0,0,1023,1024,5,109,0,0, 1024,1025,5,105,0,0,1025,1026,5,108,0,0,1026,1027,5,97,0,0,1027, 1028,5,114,0,0,1028,1029,5,105,0,0,1029,1030,5,116,0,0,1030,1032, 5,121,0,0,1031,1008,1,0,0,0,1031,1014,1,0,0,0,1032,162,1,0,0,0,1033, 1034,5,99,0,0,1034,1035,5,111,0,0,1035,1036,5,117,0,0,1036,1037, 5,110,0,0,1037,1048,5,116,0,0,1038,1039,5,99,0,0,1039,1040,5,110, 0,0,1040,1048,5,116,0,0,1041,1042,5,108,0,0,1042,1043,5,101,0,0, 1043,1044,5,110,0,0,1044,1045,5,103,0,0,1045,1046,5,116,0,0,1046, 1048,5,104,0,0,1047,1033,1,0,0,0,1047,1038,1,0,0,0,1047,1041,1,0, 0,0,1048,164,1,0,0,0,1049,1050,5,102,0,0,1050,1051,5,108,0,0,1051, 1052,5,97,0,0,1052,1053,5,116,0,0,1053,1054,5,116,0,0,1054,1055, 5,101,0,0,1055,1056,5,110,0,0,1056,166,1,0,0,0,1057,1058,5,97,0, 0,1058,1059,5,112,0,0,1059,1060,5,112,0,0,1060,1061,5,101,0,0,1061, 1062,5,110,0,0,1062,1063,5,100,0,0,1063,168,1,0,0,0,1064,1065,5, 103,0,0,1065,1066,5,101,0,0,1066,1067,5,116,0,0,1067,1068,5,95,0, 0,1068,1069,5,118,0,0,1069,1070,5,97,0,0,1070,1071,5,108,0,0,1071, 1072,5,117,0,0,1072,1073,5,101,0,0,1073,170,1,0,0,0,1074,1075,5, 102,0,0,1075,1076,5,108,0,0,1076,1077,5,111,0,0,1077,1078,5,119, 0,0,1078,1079,5,95,0,0,1079,1080,5,97,0,0,1080,1081,5,112,0,0,1081, 1082,5,112,0,0,1082,1083,5,108,0,0,1083,1084,5,121,0,0,1084,172, 1,0,0,0,1085,1086,5,98,0,0,1086,1087,5,97,0,0,1087,1088,5,116,0, 0,1088,1089,5,99,0,0,1089,1090,5,104,0,0,1090,1091,5,95,0,0,1091, 1092,5,115,0,0,1092,1093,5,104,0,0,1093,1094,5,117,0,0,1094,1095, 5,102,0,0,1095,1096,5,102,0,0,1096,1097,5,108,0,0,1097,1106,5,101, 0,0,1098,1099,5,115,0,0,1099,1100,5,104,0,0,1100,1101,5,117,0,0, 1101,1102,5,102,0,0,1102,1103,5,102,0,0,1103,1104,5,108,0,0,1104, 1106,5,101,0,0,1105,1085,1,0,0,0,1105,1098,1,0,0,0,1106,174,1,0, 0,0,1107,1108,5,109,0,0,1108,1109,5,111,0,0,1109,1110,5,116,0,0, 1110,1111,5,105,0,0,1111,1112,5,111,0,0,1112,1113,5,110,0,0,1113, 1114,5,95,0,0,1114,1115,5,109,0,0,1115,1116,5,97,0,0,1116,1117,5, 115,0,0,1117,1118,5,107,0,0,1118,176,1,0,0,0,1119,1120,5,102,0,0, 1120,1121,5,108,0,0,1121,1122,5,111,0,0,1122,1123,5,119,0,0,1123, 1124,5,95,0,0,1124,1125,5,116,0,0,1125,1126,5,111,0,0,1126,1127, 5,95,0,0,1127,1128,5,105,0,0,1128,1129,5,109,0,0,1129,1130,5,97, 0,0,1130,1131,5,103,0,0,1131,1132,5,101,0,0,1132,178,1,0,0,0,1133, 1134,5,111,0,0,1134,1135,5,118,0,0,1135,1136,5,101,0,0,1136,1137, 5,114,0,0,1137,1138,5,108,0,0,1138,1139,5,97,0,0,1139,1140,5,121, 0,0,1140,180,1,0,0,0,1141,1142,5,112,0,0,1142,1143,5,97,0,0,1143, 1144,5,100,0,0,1144,182,1,0,0,0,1145,1146,5,99,0,0,1146,1147,5,114, 0,0,1147,1148,5,111,0,0,1148,1149,5,115,0,0,1149,1150,5,115,0,0, 1150,184,1,0,0,0,1151,1152,5,109,0,0,1152,1153,5,97,0,0,1153,1154, 5,116,0,0,1154,1155,5,109,0,0,1155,1156,5,117,0,0,1156,1157,5,108, 0,0,1157,186,1,0,0,0,1158,1159,5,114,0,0,1159,1160,5,105,0,0,1160, 1161,5,102,0,0,1161,1162,5,101,0,0,1162,188,1,0,0,0,1163,1164,5, 98,0,0,1164,1165,5,110,0,0,1165,1166,5,111,0,0,1166,1179,5,116,0, 0,1167,1168,5,98,0,0,1168,1169,5,105,0,0,1169,1170,5,116,0,0,1170, 1171,5,119,0,0,1171,1172,5,105,0,0,1172,1173,5,115,0,0,1173,1174, 5,101,0,0,1174,1175,5,95,0,0,1175,1176,5,110,0,0,1176,1177,5,111, 0,0,1177,1179,5,116,0,0,1178,1163,1,0,0,0,1178,1167,1,0,0,0,1179, 190,1,0,0,0,1180,1181,5,98,0,0,1181,1182,5,105,0,0,1182,1183,5,116, 0,0,1183,1184,5,99,0,0,1184,1185,5,111,0,0,1185,1186,5,117,0,0,1186, 1187,5,110,0,0,1187,1203,5,116,0,0,1188,1189,5,112,0,0,1189,1190, 5,111,0,0,1190,1191,5,112,0,0,1191,1192,5,99,0,0,1192,1193,5,111, 0,0,1193,1194,5,117,0,0,1194,1195,5,110,0,0,1195,1203,5,116,0,0, 1196,1197,5,112,0,0,1197,1198,5,111,0,0,1198,1199,5,112,0,0,1199, 1200,5,99,0,0,1200,1201,5,110,0,0,1201,1203,5,116,0,0,1202,1180, 1,0,0,0,1202,1188,1,0,0,0,1202,1196,1,0,0,0,1203,192,1,0,0,0,1204, 1205,5,115,0,0,1205,1206,5,104,0,0,1206,1207,5,97,0,0,1207,1208, 5,112,0,0,1208,1209,5,101,0,0,1209,194,1,0,0,0,1210,1211,5,98,0, 0,1211,1212,5,97,0,0,1212,1213,5,110,0,0,1213,1226,5,100,0,0,1214, 1215,5,98,0,0,1215,1216,5,105,0,0,1216,1217,5,116,0,0,1217,1218, 5,119,0,0,1218,1219,5,105,0,0,1219,1220,5,115,0,0,1220,1221,5,101, 0,0,1221,1222,5,95,0,0,1222,1223,5,97,0,0,1223,1224,5,110,0,0,1224, 1226,5,100,0,0,1225,1210,1,0,0,0,1225,1214,1,0,0,0,1226,196,1,0, 0,0,1227,1228,5,98,0,0,1228,1229,5,120,0,0,1229,1230,5,111,0,0,1230, 1243,5,114,0,0,1231,1232,5,98,0,0,1232,1233,5,105,0,0,1233,1234, 5,116,0,0,1234,1235,5,119,0,0,1235,1236,5,105,0,0,1236,1237,5,115, 0,0,1237,1238,5,101,0,0,1238,1239,5,95,0,0,1239,1240,5,120,0,0,1240, 1241,5,111,0,0,1241,1243,5,114,0,0,1242,1227,1,0,0,0,1242,1231,1, 0,0,0,1243,198,1,0,0,0,1244,1245,5,98,0,0,1245,1246,5,111,0,0,1246, 1258,5,114,0,0,1247,1248,5,98,0,0,1248,1249,5,105,0,0,1249,1250, 5,116,0,0,1250,1251,5,119,0,0,1251,1252,5,105,0,0,1252,1253,5,115, 0,0,1253,1254,5,101,0,0,1254,1255,5,95,0,0,1255,1256,5,111,0,0,1256, 1258,5,114,0,0,1257,1244,1,0,0,0,1257,1247,1,0,0,0,1258,200,1,0, 0,0,1259,1260,5,116,0,0,1260,1261,5,101,0,0,1261,1262,5,110,0,0, 1262,1263,5,115,0,0,1263,1264,5,111,0,0,1264,1265,5,114,0,0,1265, 202,1,0,0,0,1266,1267,5,115,0,0,1267,1268,5,116,0,0,1268,1269,5, 97,0,0,1269,1270,5,99,0,0,1270,1271,5,107,0,0,1271,1272,5,95,0,0, 1272,1273,5,112,0,0,1273,1274,5,117,0,0,1274,1275,5,115,0,0,1275, 1276,5,104,0,0,1276,204,1,0,0,0,1277,1278,5,115,0,0,1278,1279,5, 116,0,0,1279,1280,5,97,0,0,1280,1281,5,99,0,0,1281,1282,5,107,0, 0,1282,1283,5,95,0,0,1283,1284,5,112,0,0,1284,1285,5,111,0,0,1285, 1286,5,112,0,0,1286,206,1,0,0,0,1287,1288,5,115,0,0,1288,1289,5, 116,0,0,1289,1290,5,97,0,0,1290,1291,5,99,0,0,1291,1292,5,107,0, 0,1292,1293,5,95,0,0,1293,1294,5,99,0,0,1294,1295,5,108,0,0,1295, 1296,5,101,0,0,1296,1297,5,97,0,0,1297,1298,5,114,0,0,1298,208,1, 0,0,0,1299,1300,5,115,0,0,1300,1301,5,116,0,0,1301,1302,5,97,0,0, 1302,1303,5,99,0,0,1303,1304,5,107,0,0,1304,1305,5,95,0,0,1305,1306, 5,104,0,0,1306,1307,5,97,0,0,1307,1308,5,115,0,0,1308,210,1,0,0, 0,1309,1310,5,115,0,0,1310,1311,5,116,0,0,1311,1312,5,97,0,0,1312, 1313,5,99,0,0,1313,1314,5,107,0,0,1314,1315,5,95,0,0,1315,1316,5, 103,0,0,1316,1317,5,101,0,0,1317,1318,5,116,0,0,1318,212,1,0,0,0, 1319,1320,5,99,0,0,1320,1321,5,97,0,0,1321,1340,5,116,0,0,1322,1323, 5,99,0,0,1323,1324,5,111,0,0,1324,1325,5,110,0,0,1325,1326,5,99, 0,0,1326,1327,5,97,0,0,1327,1340,5,116,0,0,1328,1329,5,99,0,0,1329, 1330,5,111,0,0,1330,1331,5,110,0,0,1331,1332,5,99,0,0,1332,1333, 5,97,0,0,1333,1334,5,116,0,0,1334,1335,5,101,0,0,1335,1336,5,110, 0,0,1336,1337,5,97,0,0,1337,1338,5,116,0,0,1338,1340,5,101,0,0,1339, 1319,1,0,0,0,1339,1322,1,0,0,0,1339,1328,1,0,0,0,1340,214,1,0,0, 0,1341,1342,5,105,0,0,1342,1343,5,110,0,0,1343,1344,5,116,0,0,1344, 216,1,0,0,0,1345,1346,5,102,0,0,1346,1347,5,108,0,0,1347,1348,5, 111,0,0,1348,1349,5,97,0,0,1349,1350,5,116,0,0,1350,218,1,0,0,0, 1351,1352,5,117,0,0,1352,1353,5,112,0,0,1353,1354,5,112,0,0,1354, 1355,5,101,0,0,1355,1356,5,114,0,0,1356,220,1,0,0,0,1357,1358,5, 108,0,0,1358,1359,5,111,0,0,1359,1360,5,119,0,0,1360,1361,5,101, 0,0,1361,1362,5,114,0,0,1362,222,1,0,0,0,1363,1364,5,116,0,0,1364, 1365,5,114,0,0,1365,1366,5,105,0,0,1366,1367,5,109,0,0,1367,224, 1,0,0,0,1368,1369,5,115,0,0,1369,1370,5,112,0,0,1370,1371,5,108, 0,0,1371,1372,5,105,0,0,1372,1373,5,116,0,0,1373,226,1,0,0,0,1374, 1375,5,106,0,0,1375,1376,5,111,0,0,1376,1377,5,105,0,0,1377,1378, 5,110,0,0,1378,228,1,0,0,0,1379,1380,5,115,0,0,1380,1381,5,117,0, 0,1381,1382,5,98,0,0,1382,1383,5,115,0,0,1383,1384,5,116,0,0,1384, 1385,5,114,0,0,1385,1386,5,105,0,0,1386,1387,5,110,0,0,1387,1388, 5,103,0,0,1388,230,1,0,0,0,1389,1390,5,115,0,0,1390,1391,5,117,0, 0,1391,1392,5,98,0,0,1392,1393,5,115,0,0,1393,1394,5,116,0,0,1394, 1395,5,114,0,0,1395,232,1,0,0,0,1396,1397,5,102,0,0,1397,1398,5, 105,0,0,1398,1399,5,110,0,0,1399,1400,5,100,0,0,1400,234,1,0,0,0, 1401,1402,5,114,0,0,1402,1403,5,101,0,0,1403,1404,5,112,0,0,1404, 1405,5,108,0,0,1405,1406,5,97,0,0,1406,1407,5,99,0,0,1407,1408,5, 101,0,0,1408,236,1,0,0,0,1409,1410,5,100,0,0,1410,1411,5,105,0,0, 1411,1412,5,108,0,0,1412,1413,5,97,0,0,1413,1414,5,116,0,0,1414, 1415,5,101,0,0,1415,238,1,0,0,0,1416,1417,5,101,0,0,1417,1418,5, 114,0,0,1418,1419,5,111,0,0,1419,1420,5,100,0,0,1420,1421,5,101, 0,0,1421,240,1,0,0,0,1422,1423,5,109,0,0,1423,1424,5,111,0,0,1424, 1425,5,114,0,0,1425,1426,5,112,0,0,1426,1427,5,104,0,0,1427,1428, 5,95,0,0,1428,1429,5,111,0,0,1429,1430,5,112,0,0,1430,1431,5,101, 0,0,1431,1432,5,110,0,0,1432,242,1,0,0,0,1433,1434,5,109,0,0,1434, 1435,5,111,0,0,1435,1436,5,114,0,0,1436,1437,5,112,0,0,1437,1438, 5,104,0,0,1438,1439,5,95,0,0,1439,1440,5,99,0,0,1440,1441,5,108, 0,0,1441,1442,5,111,0,0,1442,1443,5,115,0,0,1443,1444,5,101,0,0, 1444,244,1,0,0,0,1445,1446,5,114,0,0,1446,1447,5,103,0,0,1447,1448, 5,98,0,0,1448,1449,5,95,0,0,1449,1450,5,116,0,0,1450,1451,5,111, 0,0,1451,1452,5,95,0,0,1452,1453,5,104,0,0,1453,1454,5,115,0,0,1454, 1455,5,118,0,0,1455,246,1,0,0,0,1456,1457,5,104,0,0,1457,1458,5, 115,0,0,1458,1459,5,118,0,0,1459,1460,5,95,0,0,1460,1461,5,116,0, 0,1461,1462,5,111,0,0,1462,1463,5,95,0,0,1463,1464,5,114,0,0,1464, 1465,5,103,0,0,1465,1466,5,98,0,0,1466,248,1,0,0,0,1467,1468,5,105, 0,0,1468,1469,5,110,0,0,1469,1470,5,116,0,0,1470,1471,5,95,0,0,1471, 1472,5,116,0,0,1472,1473,5,111,0,0,1473,1474,5,95,0,0,1474,1475, 5,114,0,0,1475,1476,5,103,0,0,1476,1477,5,98,0,0,1477,250,1,0,0, 0,1478,1479,5,114,0,0,1479,1480,5,103,0,0,1480,1481,5,98,0,0,1481, 1482,5,95,0,0,1482,1483,5,116,0,0,1483,1484,5,111,0,0,1484,1485, 5,95,0,0,1485,1486,5,105,0,0,1486,1487,5,110,0,0,1487,1488,5,116, 0,0,1488,252,1,0,0,0,1489,1490,5,105,0,0,1490,1491,5,102,0,0,1491, 254,1,0,0,0,1492,1493,5,101,0,0,1493,1494,5,108,0,0,1494,1495,5, 115,0,0,1495,1496,5,101,0,0,1496,256,1,0,0,0,1497,1498,5,119,0,0, 1498,1499,5,104,0,0,1499,1500,5,105,0,0,1500,1501,5,108,0,0,1501, 1502,5,101,0,0,1502,258,1,0,0,0,1503,1504,5,102,0,0,1504,1505,5, 111,0,0,1505,1506,5,114,0,0,1506,260,1,0,0,0,1507,1508,5,105,0,0, 1508,1509,5,110,0,0,1509,262,1,0,0,0,1510,1511,5,98,0,0,1511,1512, 5,114,0,0,1512,1513,5,101,0,0,1513,1514,5,97,0,0,1514,1515,5,107, 0,0,1515,264,1,0,0,0,1516,1517,5,99,0,0,1517,1518,5,111,0,0,1518, 1519,5,110,0,0,1519,1520,5,116,0,0,1520,1521,5,105,0,0,1521,1522, 5,110,0,0,1522,1523,5,117,0,0,1523,1524,5,101,0,0,1524,266,1,0,0, 0,1525,1526,5,114,0,0,1526,1527,5,101,0,0,1527,1528,5,116,0,0,1528, 1529,5,117,0,0,1529,1530,5,114,0,0,1530,1531,5,110,0,0,1531,268, 1,0,0,0,1532,1533,5,116,0,0,1533,1534,5,105,0,0,1534,1535,5,109, 0,0,1535,1536,5,101,0,0,1536,1537,5,115,0,0,1537,1538,5,116,0,0, 1538,1539,5,97,0,0,1539,1540,5,109,0,0,1540,1541,5,112,0,0,1541, 270,1,0,0,0,1542,1543,5,115,0,0,1543,1544,5,111,0,0,1544,1545,5, 114,0,0,1545,1546,5,116,0,0,1546,272,1,0,0,0,1547,1548,5,97,0,0, 1548,1549,5,114,0,0,1549,1550,5,103,0,0,1550,1551,5,115,0,0,1551, 1552,5,111,0,0,1552,1553,5,114,0,0,1553,1554,5,116,0,0,1554,274, 1,0,0,0,1555,1556,5,97,0,0,1556,1557,5,114,0,0,1557,1558,5,103,0, 0,1558,1559,5,109,0,0,1559,1560,5,105,0,0,1560,1561,5,110,0,0,1561, 276,1,0,0,0,1562,1563,5,97,0,0,1563,1564,5,114,0,0,1564,1565,5,103, 0,0,1565,1566,5,109,0,0,1566,1567,5,97,0,0,1567,1568,5,120,0,0,1568, 278,1,0,0,0,1569,1570,5,115,0,0,1570,1571,5,111,0,0,1571,1572,5, 102,0,0,1572,1573,5,116,0,0,1573,1574,5,109,0,0,1574,1575,5,97,0, 0,1575,1576,5,120,0,0,1576,280,1,0,0,0,1577,1578,5,115,0,0,1578, 1579,5,111,0,0,1579,1580,5,102,0,0,1580,1581,5,116,0,0,1581,1582, 5,109,0,0,1582,1583,5,105,0,0,1583,1584,5,110,0,0,1584,282,1,0,0, 0,1585,1586,5,117,0,0,1586,1587,5,110,0,0,1587,1588,5,105,0,0,1588, 1589,5,113,0,0,1589,1590,5,117,0,0,1590,1591,5,101,0,0,1591,284, 1,0,0,0,1592,1593,5,102,0,0,1593,1594,5,108,0,0,1594,1595,5,105, 0,0,1595,1596,5,112,0,0,1596,286,1,0,0,0,1597,1598,5,99,0,0,1598, 1599,5,111,0,0,1599,1600,5,118,0,0,1600,288,1,0,0,0,1601,1602,5, 99,0,0,1602,1603,5,111,0,0,1603,1604,5,114,0,0,1604,1617,5,114,0, 0,1605,1606,5,99,0,0,1606,1607,5,111,0,0,1607,1608,5,114,0,0,1608, 1609,5,114,0,0,1609,1610,5,101,0,0,1610,1611,5,108,0,0,1611,1612, 5,97,0,0,1612,1613,5,116,0,0,1613,1614,5,105,0,0,1614,1615,5,111, 0,0,1615,1617,5,110,0,0,1616,1601,1,0,0,0,1616,1605,1,0,0,0,1617, 290,1,0,0,0,1618,1619,5,101,0,0,1619,1620,5,110,0,0,1620,1621,5, 116,0,0,1621,1622,5,114,0,0,1622,1623,5,111,0,0,1623,1624,5,112, 0,0,1624,1625,5,121,0,0,1625,292,1,0,0,0,1626,1627,5,99,0,0,1627, 1628,5,114,0,0,1628,1629,5,111,0,0,1629,1630,5,112,0,0,1630,294, 1,0,0,0,1631,1632,5,110,0,0,1632,1633,5,111,0,0,1633,1634,5,110, 0,0,1634,1648,5,101,0,0,1635,1636,5,78,0,0,1636,1637,5,111,0,0,1637, 1638,5,110,0,0,1638,1648,5,101,0,0,1639,1640,5,110,0,0,1640,1641, 5,117,0,0,1641,1642,5,108,0,0,1642,1648,5,108,0,0,1643,1644,5,78, 0,0,1644,1645,5,85,0,0,1645,1646,5,76,0,0,1646,1648,5,76,0,0,1647, 1631,1,0,0,0,1647,1635,1,0,0,0,1647,1639,1,0,0,0,1647,1643,1,0,0, 0,1648,296,1,0,0,0,1649,1650,5,110,0,0,1650,1651,5,111,0,0,1651, 1652,5,105,0,0,1652,1653,5,115,0,0,1653,1673,5,101,0,0,1654,1655, 5,114,0,0,1655,1656,5,97,0,0,1656,1657,5,110,0,0,1657,1658,5,100, 0,0,1658,1673,5,110,0,0,1659,1660,5,114,0,0,1660,1661,5,97,0,0,1661, 1662,5,110,0,0,1662,1663,5,100,0,0,1663,1664,5,111,0,0,1664,1665, 5,109,0,0,1665,1666,5,95,0,0,1666,1667,5,110,0,0,1667,1668,5,111, 0,0,1668,1669,5,114,0,0,1669,1670,5,109,0,0,1670,1671,5,97,0,0,1671, 1673,5,108,0,0,1672,1649,1,0,0,0,1672,1654,1,0,0,0,1672,1659,1,0, 0,0,1673,298,1,0,0,0,1674,1675,5,114,0,0,1675,1676,5,97,0,0,1676, 1677,5,110,0,0,1677,1698,5,100,0,0,1678,1679,5,114,0,0,1679,1680, 5,97,0,0,1680,1681,5,110,0,0,1681,1682,5,100,0,0,1682,1698,5,117, 0,0,1683,1684,5,114,0,0,1684,1685,5,97,0,0,1685,1686,5,110,0,0,1686, 1687,5,100,0,0,1687,1688,5,111,0,0,1688,1689,5,109,0,0,1689,1690, 5,95,0,0,1690,1691,5,117,0,0,1691,1692,5,110,0,0,1692,1693,5,105, 0,0,1693,1694,5,102,0,0,1694,1695,5,111,0,0,1695,1696,5,114,0,0, 1696,1698,5,109,0,0,1697,1674,1,0,0,0,1697,1678,1,0,0,0,1697,1683, 1,0,0,0,1698,300,1,0,0,0,1699,1700,5,114,0,0,1700,1701,5,97,0,0, 1701,1702,5,110,0,0,1702,1703,5,100,0,0,1703,1718,5,99,0,0,1704, 1705,5,114,0,0,1705,1706,5,97,0,0,1706,1707,5,110,0,0,1707,1708, 5,100,0,0,1708,1709,5,111,0,0,1709,1710,5,109,0,0,1710,1711,5,95, 0,0,1711,1712,5,99,0,0,1712,1713,5,97,0,0,1713,1714,5,117,0,0,1714, 1715,5,99,0,0,1715,1716,5,104,0,0,1716,1718,5,121,0,0,1717,1699, 1,0,0,0,1717,1704,1,0,0,0,1718,302,1,0,0,0,1719,1720,5,114,0,0,1720, 1721,5,97,0,0,1721,1722,5,110,0,0,1722,1723,5,100,0,0,1723,1743, 5,101,0,0,1724,1725,5,114,0,0,1725,1726,5,97,0,0,1726,1727,5,110, 0,0,1727,1728,5,100,0,0,1728,1729,5,111,0,0,1729,1730,5,109,0,0, 1730,1731,5,95,0,0,1731,1732,5,101,0,0,1732,1733,5,120,0,0,1733, 1734,5,112,0,0,1734,1735,5,111,0,0,1735,1736,5,110,0,0,1736,1737, 5,101,0,0,1737,1738,5,110,0,0,1738,1739,5,116,0,0,1739,1740,5,105, 0,0,1740,1741,5,97,0,0,1741,1743,5,108,0,0,1742,1719,1,0,0,0,1742, 1724,1,0,0,0,1743,304,1,0,0,0,1744,1745,5,114,0,0,1745,1746,5,97, 0,0,1746,1747,5,110,0,0,1747,1748,5,100,0,0,1748,1749,5,108,0,0, 1749,1768,5,110,0,0,1750,1751,5,114,0,0,1751,1752,5,97,0,0,1752, 1753,5,110,0,0,1753,1754,5,100,0,0,1754,1755,5,111,0,0,1755,1756, 5,109,0,0,1756,1757,5,95,0,0,1757,1758,5,108,0,0,1758,1759,5,111, 0,0,1759,1760,5,103,0,0,1760,1761,5,95,0,0,1761,1762,5,110,0,0,1762, 1763,5,111,0,0,1763,1764,5,114,0,0,1764,1765,5,109,0,0,1765,1766, 5,97,0,0,1766,1768,5,108,0,0,1767,1744,1,0,0,0,1767,1750,1,0,0,0, 1768,306,1,0,0,0,1769,1770,5,114,0,0,1770,1771,5,97,0,0,1771,1772, 5,110,0,0,1772,1773,5,100,0,0,1773,1791,5,98,0,0,1774,1775,5,114, 0,0,1775,1776,5,97,0,0,1776,1777,5,110,0,0,1777,1778,5,100,0,0,1778, 1779,5,111,0,0,1779,1780,5,109,0,0,1780,1781,5,95,0,0,1781,1782, 5,98,0,0,1782,1783,5,101,0,0,1783,1784,5,114,0,0,1784,1785,5,110, 0,0,1785,1786,5,111,0,0,1786,1787,5,117,0,0,1787,1788,5,108,0,0, 1788,1789,5,108,0,0,1789,1791,5,105,0,0,1790,1769,1,0,0,0,1790,1774, 1,0,0,0,1791,308,1,0,0,0,1792,1793,5,114,0,0,1793,1794,5,97,0,0, 1794,1795,5,110,0,0,1795,1796,5,100,0,0,1796,1812,5,112,0,0,1797, 1798,5,114,0,0,1798,1799,5,97,0,0,1799,1800,5,110,0,0,1800,1801, 5,100,0,0,1801,1802,5,111,0,0,1802,1803,5,109,0,0,1803,1804,5,95, 0,0,1804,1805,5,112,0,0,1805,1806,5,111,0,0,1806,1807,5,105,0,0, 1807,1808,5,115,0,0,1808,1809,5,115,0,0,1809,1810,5,111,0,0,1810, 1812,5,110,0,0,1811,1792,1,0,0,0,1811,1797,1,0,0,0,1812,310,1,0, 0,0,1813,1814,5,114,0,0,1814,1815,5,97,0,0,1815,1816,5,110,0,0,1816, 1817,5,100,0,0,1817,1831,5,103,0,0,1818,1819,5,114,0,0,1819,1820, 5,97,0,0,1820,1821,5,110,0,0,1821,1822,5,100,0,0,1822,1823,5,111, 0,0,1823,1824,5,109,0,0,1824,1825,5,95,0,0,1825,1826,5,103,0,0,1826, 1827,5,97,0,0,1827,1828,5,109,0,0,1828,1829,5,109,0,0,1829,1831, 5,97,0,0,1830,1813,1,0,0,0,1830,1818,1,0,0,0,1831,312,1,0,0,0,1832, 1833,5,114,0,0,1833,1834,5,97,0,0,1834,1835,5,110,0,0,1835,1836, 5,100,0,0,1836,1837,5,98,0,0,1837,1838,5,101,0,0,1838,1839,5,116, 0,0,1839,1852,5,97,0,0,1840,1841,5,114,0,0,1841,1842,5,97,0,0,1842, 1843,5,110,0,0,1843,1844,5,100,0,0,1844,1845,5,111,0,0,1845,1846, 5,109,0,0,1846,1847,5,95,0,0,1847,1848,5,98,0,0,1848,1849,5,101, 0,0,1849,1850,5,116,0,0,1850,1852,5,97,0,0,1851,1832,1,0,0,0,1851, 1840,1,0,0,0,1852,314,1,0,0,0,1853,1854,5,114,0,0,1854,1855,5,97, 0,0,1855,1856,5,110,0,0,1856,1857,5,100,0,0,1857,1873,5,108,0,0, 1858,1859,5,114,0,0,1859,1860,5,97,0,0,1860,1861,5,110,0,0,1861, 1862,5,100,0,0,1862,1863,5,111,0,0,1863,1864,5,109,0,0,1864,1865, 5,95,0,0,1865,1866,5,108,0,0,1866,1867,5,97,0,0,1867,1868,5,112, 0,0,1868,1869,5,108,0,0,1869,1870,5,97,0,0,1870,1871,5,99,0,0,1871, 1873,5,101,0,0,1872,1853,1,0,0,0,1872,1858,1,0,0,0,1873,316,1,0, 0,0,1874,1875,5,114,0,0,1875,1876,5,97,0,0,1876,1877,5,110,0,0,1877, 1878,5,100,0,0,1878,1879,5,103,0,0,1879,1880,5,117,0,0,1880,1881, 5,109,0,0,1881,1882,5,98,0,0,1882,1883,5,101,0,0,1883,1898,5,108, 0,0,1884,1885,5,114,0,0,1885,1886,5,97,0,0,1886,1887,5,110,0,0,1887, 1888,5,100,0,0,1888,1889,5,111,0,0,1889,1890,5,109,0,0,1890,1891, 5,95,0,0,1891,1892,5,103,0,0,1892,1893,5,117,0,0,1893,1894,5,109, 0,0,1894,1895,5,98,0,0,1895,1896,5,101,0,0,1896,1898,5,108,0,0,1897, 1874,1,0,0,0,1897,1884,1,0,0,0,1898,318,1,0,0,0,1899,1900,5,114, 0,0,1900,1901,5,97,0,0,1901,1902,5,110,0,0,1902,1903,5,100,0,0,1903, 1919,5,119,0,0,1904,1905,5,114,0,0,1905,1906,5,97,0,0,1906,1907, 5,110,0,0,1907,1908,5,100,0,0,1908,1909,5,111,0,0,1909,1910,5,109, 0,0,1910,1911,5,95,0,0,1911,1912,5,119,0,0,1912,1913,5,101,0,0,1913, 1914,5,105,0,0,1914,1915,5,98,0,0,1915,1916,5,117,0,0,1916,1917, 5,108,0,0,1917,1919,5,108,0,0,1918,1899,1,0,0,0,1918,1904,1,0,0, 0,1919,320,1,0,0,0,1920,1921,5,114,0,0,1921,1922,5,97,0,0,1922,1923, 5,110,0,0,1923,1924,5,100,0,0,1924,1925,5,99,0,0,1925,1926,5,104, 0,0,1926,1927,5,105,0,0,1927,1940,5,50,0,0,1928,1929,5,114,0,0,1929, 1930,5,97,0,0,1930,1931,5,110,0,0,1931,1932,5,100,0,0,1932,1933, 5,111,0,0,1933,1934,5,109,0,0,1934,1935,5,95,0,0,1935,1936,5,99, 0,0,1936,1937,5,104,0,0,1937,1938,5,105,0,0,1938,1940,5,50,0,0,1939, 1920,1,0,0,0,1939,1928,1,0,0,0,1940,322,1,0,0,0,1941,1942,5,114, 0,0,1942,1943,5,97,0,0,1943,1944,5,110,0,0,1944,1945,5,100,0,0,1945, 1962,5,116,0,0,1946,1947,5,114,0,0,1947,1948,5,97,0,0,1948,1949, 5,110,0,0,1949,1950,5,100,0,0,1950,1951,5,111,0,0,1951,1952,5,109, 0,0,1952,1953,5,95,0,0,1953,1954,5,115,0,0,1954,1955,5,116,0,0,1955, 1956,5,117,0,0,1956,1957,5,100,0,0,1957,1958,5,101,0,0,1958,1959, 5,110,0,0,1959,1960,5,116,0,0,1960,1962,5,116,0,0,1961,1941,1,0, 0,0,1961,1946,1,0,0,0,1962,324,1,0,0,0,1963,1964,5,112,0,0,1964, 1965,5,101,0,0,1965,1966,5,114,0,0,1966,1967,5,108,0,0,1967,1968, 5,105,0,0,1968,1982,5,110,0,0,1969,1970,5,112,0,0,1970,1971,5,101, 0,0,1971,1972,5,114,0,0,1972,1973,5,108,0,0,1973,1974,5,105,0,0, 1974,1975,5,110,0,0,1975,1976,5,95,0,0,1976,1977,5,110,0,0,1977, 1978,5,111,0,0,1978,1979,5,105,0,0,1979,1980,5,115,0,0,1980,1982, 5,101,0,0,1981,1963,1,0,0,0,1981,1969,1,0,0,0,1982,326,1,0,0,0,1983, 1984,5,99,0,0,1984,1985,5,101,0,0,1985,1986,5,108,0,0,1986,1987, 5,108,0,0,1987,1988,5,117,0,0,1988,1989,5,108,0,0,1989,1990,5,97, 0,0,1990,2032,5,114,0,0,1991,1992,5,118,0,0,1992,1993,5,111,0,0, 1993,1994,5,114,0,0,1994,1995,5,111,0,0,1995,1996,5,110,0,0,1996, 1997,5,111,0,0,1997,2032,5,105,0,0,1998,1999,5,119,0,0,1999,2000, 5,111,0,0,2000,2001,5,114,0,0,2001,2002,5,108,0,0,2002,2003,5,101, 0,0,2003,2032,5,121,0,0,2004,2005,5,99,0,0,2005,2006,5,101,0,0,2006, 2007,5,108,0,0,2007,2008,5,108,0,0,2008,2009,5,117,0,0,2009,2010, 5,108,0,0,2010,2011,5,97,0,0,2011,2012,5,114,0,0,2012,2013,5,95, 0,0,2013,2014,5,110,0,0,2014,2015,5,111,0,0,2015,2016,5,105,0,0, 2016,2017,5,115,0,0,2017,2032,5,101,0,0,2018,2019,5,118,0,0,2019, 2020,5,111,0,0,2020,2021,5,114,0,0,2021,2022,5,111,0,0,2022,2023, 5,110,0,0,2023,2024,5,111,0,0,2024,2025,5,105,0,0,2025,2026,5,95, 0,0,2026,2027,5,110,0,0,2027,2028,5,111,0,0,2028,2029,5,105,0,0, 2029,2030,5,115,0,0,2030,2032,5,101,0,0,2031,1983,1,0,0,0,2031,1991, 1,0,0,0,2031,1998,1,0,0,0,2031,2004,1,0,0,0,2031,2018,1,0,0,0,2032, 328,1,0,0,0,2033,2034,5,112,0,0,2034,2035,5,108,0,0,2035,2036,5, 97,0,0,2036,2037,5,115,0,0,2037,2038,5,109,0,0,2038,2062,5,97,0, 0,2039,2040,5,116,0,0,2040,2041,5,117,0,0,2041,2042,5,114,0,0,2042, 2043,5,98,0,0,2043,2044,5,117,0,0,2044,2045,5,108,0,0,2045,2046, 5,101,0,0,2046,2047,5,110,0,0,2047,2048,5,99,0,0,2048,2062,5,101, 0,0,2049,2050,5,112,0,0,2050,2051,5,108,0,0,2051,2052,5,97,0,0,2052, 2053,5,115,0,0,2053,2054,5,109,0,0,2054,2055,5,97,0,0,2055,2056, 5,95,0,0,2056,2057,5,110,0,0,2057,2058,5,111,0,0,2058,2059,5,105, 0,0,2059,2060,5,115,0,0,2060,2062,5,101,0,0,2061,2033,1,0,0,0,2061, 2039,1,0,0,0,2061,2049,1,0,0,0,2062,330,1,0,0,0,2063,2064,5,43,0, 0,2064,332,1,0,0,0,2065,2066,5,45,0,0,2066,334,1,0,0,0,2067,2068, 5,42,0,0,2068,336,1,0,0,0,2069,2070,5,47,0,0,2070,338,1,0,0,0,2071, 2072,5,37,0,0,2072,340,1,0,0,0,2073,2074,5,94,0,0,2074,342,1,0,0, 0,2075,2076,5,60,0,0,2076,2077,5,60,0,0,2077,344,1,0,0,0,2078,2079, 5,62,0,0,2079,2080,5,62,0,0,2080,346,1,0,0,0,2081,2082,5,62,0,0, 2082,2083,5,61,0,0,2083,348,1,0,0,0,2084,2085,5,62,0,0,2085,350, 1,0,0,0,2086,2087,5,60,0,0,2087,2088,5,61,0,0,2088,352,1,0,0,0,2089, 2090,5,60,0,0,2090,354,1,0,0,0,2091,2092,5,61,0,0,2092,2093,5,61, 0,0,2093,356,1,0,0,0,2094,2095,5,61,0,0,2095,358,1,0,0,0,2096,2097, 5,33,0,0,2097,2098,5,61,0,0,2098,360,1,0,0,0,2099,2100,5,124,0,0, 2100,362,1,0,0,0,2101,2102,5,40,0,0,2102,364,1,0,0,0,2103,2104,5, 41,0,0,2104,366,1,0,0,0,2105,2106,5,44,0,0,2106,368,1,0,0,0,2107, 2108,5,59,0,0,2108,370,1,0,0,0,2109,2110,5,45,0,0,2110,2111,5,62, 0,0,2111,372,1,0,0,0,2112,2113,5,91,0,0,2113,374,1,0,0,0,2114,2115, 5,93,0,0,2115,376,1,0,0,0,2116,2117,5,63,0,0,2117,378,1,0,0,0,2118, 2119,5,58,0,0,2119,380,1,0,0,0,2120,2121,5,123,0,0,2121,382,1,0, 0,0,2122,2123,5,125,0,0,2123,384,1,0,0,0,2124,2126,7,0,0,0,2125, 2124,1,0,0,0,2126,2127,1,0,0,0,2127,2125,1,0,0,0,2127,2128,1,0,0, 0,2128,2136,1,0,0,0,2129,2133,5,46,0,0,2130,2132,7,0,0,0,2131,2130, 1,0,0,0,2132,2135,1,0,0,0,2133,2131,1,0,0,0,2133,2134,1,0,0,0,2134, 2137,1,0,0,0,2135,2133,1,0,0,0,2136,2129,1,0,0,0,2136,2137,1,0,0, 0,2137,2145,1,0,0,0,2138,2140,5,46,0,0,2139,2141,7,0,0,0,2140,2139, 1,0,0,0,2141,2142,1,0,0,0,2142,2140,1,0,0,0,2142,2143,1,0,0,0,2143, 2145,1,0,0,0,2144,2125,1,0,0,0,2144,2138,1,0,0,0,2145,2155,1,0,0, 0,2146,2148,7,1,0,0,2147,2149,7,2,0,0,2148,2147,1,0,0,0,2148,2149, 1,0,0,0,2149,2151,1,0,0,0,2150,2152,7,0,0,0,2151,2150,1,0,0,0,2152, 2153,1,0,0,0,2153,2151,1,0,0,0,2153,2154,1,0,0,0,2154,2156,1,0,0, 0,2155,2146,1,0,0,0,2155,2156,1,0,0,0,2156,386,1,0,0,0,2157,2158, 5,112,0,0,2158,2163,5,105,0,0,2159,2160,5,80,0,0,2160,2163,5,73, 0,0,2161,2163,7,1,0,0,2162,2157,1,0,0,0,2162,2159,1,0,0,0,2162,2161, 1,0,0,0,2163,388,1,0,0,0,2164,2170,5,34,0,0,2165,2169,8,3,0,0,2166, 2167,5,92,0,0,2167,2169,9,0,0,0,2168,2165,1,0,0,0,2168,2166,1,0, 0,0,2169,2172,1,0,0,0,2170,2168,1,0,0,0,2170,2171,1,0,0,0,2171,2173, 1,0,0,0,2172,2170,1,0,0,0,2173,2185,5,34,0,0,2174,2180,5,39,0,0, 2175,2179,8,4,0,0,2176,2177,5,92,0,0,2177,2179,9,0,0,0,2178,2175, 1,0,0,0,2178,2176,1,0,0,0,2179,2182,1,0,0,0,2180,2178,1,0,0,0,2180, 2181,1,0,0,0,2181,2183,1,0,0,0,2182,2180,1,0,0,0,2183,2185,5,39, 0,0,2184,2164,1,0,0,0,2184,2174,1,0,0,0,2185,390,1,0,0,0,2186,2190, 7,5,0,0,2187,2189,7,6,0,0,2188,2187,1,0,0,0,2189,2192,1,0,0,0,2190, 2188,1,0,0,0,2190,2191,1,0,0,0,2191,392,1,0,0,0,2192,2190,1,0,0, 0,2193,2197,5,35,0,0,2194,2196,8,7,0,0,2195,2194,1,0,0,0,2196,2199, 1,0,0,0,2197,2195,1,0,0,0,2197,2198,1,0,0,0,2198,2200,1,0,0,0,2199, 2197,1,0,0,0,2200,2201,6,196,0,0,2201,394,1,0,0,0,2202,2203,5,47, 0,0,2203,2204,5,42,0,0,2204,2208,1,0,0,0,2205,2207,9,0,0,0,2206, 2205,1,0,0,0,2207,2210,1,0,0,0,2208,2209,1,0,0,0,2208,2206,1,0,0, 0,2209,2211,1,0,0,0,2210,2208,1,0,0,0,2211,2212,5,42,0,0,2212,2213, 5,47,0,0,2213,2214,1,0,0,0,2214,2215,6,197,0,0,2215,396,1,0,0,0, 2216,2218,7,8,0,0,2217,2216,1,0,0,0,2218,2219,1,0,0,0,2219,2217, 1,0,0,0,2219,2220,1,0,0,0,2220,2221,1,0,0,0,2221,2222,6,198,0,0, 2222,398,1,0,0,0,62,0,591,606,682,699,717,730,785,802,849,898,920, 937,958,973,1000,1031,1047,1105,1178,1202,1225,1242,1257,1339,1616, 1647,1672,1697,1717,1742,1767,1790,1811,1830,1851,1872,1897,1918, 1939,1961,1981,2031,2061,2127,2133,2136,2142,2144,2148,2153,2155, 2162,2168,2170,2178,2180,2184,2190,2197,2208,2219,1,6,0,0 ] 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 TOPK = 53 BOTK = 54 PINV = 55 SUM = 56 MEAN = 57 STD = 58 VAR = 59 QUARTILE = 60 PERCENTILE = 61 QUANTILE = 62 DOT = 63 MOMENT = 64 ANY = 65 ALL = 66 EDGE = 67 GAUSSIAN = 68 MEDIAN = 69 MODE = 70 CUMSUM = 71 CUMPROD = 72 TOPK_IND = 73 BOTK_IND = 74 CUBIC_EASE = 75 ELASTIC_EASE = 76 SINE_EASE = 77 SMOOTHERSTEP = 78 DIST = 79 REMAP = 80 COSSIM = 81 COUNT = 82 FLATTEN = 83 APPEND = 84 GET_VALUE = 85 FLOW_APPLY = 86 BATCH_SHUFFLE = 87 MOTION_MASK = 88 FLOW_TO_IMAGE = 89 OVERLAY = 90 PAD = 91 CROSS = 92 MATMUL = 93 RIFE = 94 BNOT = 95 BITCOUNT = 96 SHAPE = 97 BAND = 98 XOR = 99 BOR = 100 TENSOR = 101 PUSH = 102 POP = 103 CLEAR = 104 HAS = 105 GET = 106 CONCAT = 107 INT = 108 FLOAT = 109 UPPER = 110 LOWER = 111 TRIM = 112 SPLIT = 113 JOIN = 114 SUBSTRING = 115 SUBSTR = 116 FIND = 117 REPLACE = 118 DILATE = 119 ERODE = 120 MORPH_OPEN = 121 MORPH_CLOSE = 122 RGB_TO_HSV = 123 HSV_TO_RGB = 124 INT_TO_RGB = 125 RGB_TO_INT = 126 IF = 127 ELSE = 128 WHILE = 129 FOR = 130 IN = 131 BREAK = 132 CONTINUE = 133 RETURN = 134 TIMESTAMP = 135 SORT = 136 ARGSORT = 137 ARGMIN = 138 ARGMAX = 139 SOFTMAX = 140 SOFTMIN = 141 UNIQUE = 142 FLIP = 143 COV = 144 CORR = 145 ENTROPY = 146 CROP = 147 NONE = 148 NOISE = 149 RAND = 150 CAUCHY = 151 EXPONENTIAL = 152 LOGNORMAL = 153 BERNOULLI = 154 POISSON = 155 GAMMADIST = 156 BETADIST = 157 LAPLACEDIST = 158 GUMBELDIST = 159 WEIBULLDIST = 160 CHI2DIST = 161 STUDENTTDIST = 162 PERLIN = 163 CELLULAR = 164 PLASMA = 165 PLUS = 166 MINUS = 167 MULT = 168 DIV = 169 MOD = 170 POW = 171 LSHIFT = 172 RSHIFT = 173 GE = 174 GT = 175 LE = 176 LT = 177 EQ = 178 EQUEALS = 179 NE = 180 PIPE = 181 LPAREN = 182 RPAREN = 183 COMMA = 184 SEMICOLON = 185 ARROW = 186 LBRACKET = 187 RBRACKET = 188 QUESTION = 189 COLON = 190 LBRACE = 191 RBRACE = 192 NUMBER = 193 CONSTANT = 194 STRING = 195 VARIABLE = 196 SL_COMMENT = 197 ML_COMMENT = 198 WS = 199 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'", "'topk'", "'botk'", "'pinv'", "'sum'", "'mean'", "'std'", "'var'", "'quantile'", "'dot'", "'moment'", "'any'", "'all'", "'edge'", "'median'", "'mode'", "'cumsum'", "'cumprod'", "'smootherstep'", "'remap'", "'flatten'", "'append'", "'get_value'", "'flow_apply'", "'motion_mask'", "'flow_to_image'", "'overlay'", "'pad'", "'cross'", "'matmul'", "'rife'", "'shape'", "'tensor'", "'stack_push'", "'stack_pop'", "'stack_clear'", "'stack_has'", "'stack_get'", "'int'", "'float'", "'upper'", "'lower'", "'trim'", "'split'", "'join'", "'substring'", "'substr'", "'find'", "'replace'", "'dilate'", "'erode'", "'morph_open'", "'morph_close'", "'rgb_to_hsv'", "'hsv_to_rgb'", "'int_to_rgb'", "'rgb_to_int'", "'if'", "'else'", "'while'", "'for'", "'in'", "'break'", "'continue'", "'return'", "'timestamp'", "'sort'", "'argsort'", "'argmin'", "'argmax'", "'softmax'", "'softmin'", "'unique'", "'flip'", "'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", "TOPK", "BOTK", "PINV", "SUM", "MEAN", "STD", "VAR", "QUARTILE", "PERCENTILE", "QUANTILE", "DOT", "MOMENT", "ANY", "ALL", "EDGE", "GAUSSIAN", "MEDIAN", "MODE", "CUMSUM", "CUMPROD", "TOPK_IND", "BOTK_IND", "CUBIC_EASE", "ELASTIC_EASE", "SINE_EASE", "SMOOTHERSTEP", "DIST", "REMAP", "COSSIM", "COUNT", "FLATTEN", "APPEND", "GET_VALUE", "FLOW_APPLY", "BATCH_SHUFFLE", "MOTION_MASK", "FLOW_TO_IMAGE", "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", "SUBSTR", "FIND", "REPLACE", "DILATE", "ERODE", "MORPH_OPEN", "MORPH_CLOSE", "RGB_TO_HSV", "HSV_TO_RGB", "INT_TO_RGB", "RGB_TO_INT", "IF", "ELSE", "WHILE", "FOR", "IN", "BREAK", "CONTINUE", "RETURN", "TIMESTAMP", "SORT", "ARGSORT", "ARGMIN", "ARGMAX", "SOFTMAX", "SOFTMIN", "UNIQUE", "FLIP", "COV", "CORR", "ENTROPY", "CROP", "NONE", "NOISE", "RAND", "CAUCHY", "EXPONENTIAL", "LOGNORMAL", "BERNOULLI", "POISSON", "GAMMADIST", "BETADIST", "LAPLACEDIST", "GUMBELDIST", "WEIBULLDIST", "CHI2DIST", "STUDENTTDIST", "PERLIN", "CELLULAR", "PLASMA", "PLUS", "MINUS", "MULT", "DIV", "MOD", "POW", "LSHIFT", "RSHIFT", "GE", "GT", "LE", "LT", "EQ", "EQUEALS", "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", "TOPK", "BOTK", "PINV", "SUM", "MEAN", "STD", "VAR", "QUARTILE", "PERCENTILE", "QUANTILE", "DOT", "MOMENT", "ANY", "ALL", "EDGE", "GAUSSIAN", "MEDIAN", "MODE", "CUMSUM", "CUMPROD", "TOPK_IND", "BOTK_IND", "CUBIC_EASE", "ELASTIC_EASE", "SINE_EASE", "SMOOTHERSTEP", "DIST", "REMAP", "COSSIM", "COUNT", "FLATTEN", "APPEND", "GET_VALUE", "FLOW_APPLY", "BATCH_SHUFFLE", "MOTION_MASK", "FLOW_TO_IMAGE", "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", "SUBSTR", "FIND", "REPLACE", "DILATE", "ERODE", "MORPH_OPEN", "MORPH_CLOSE", "RGB_TO_HSV", "HSV_TO_RGB", "INT_TO_RGB", "RGB_TO_INT", "IF", "ELSE", "WHILE", "FOR", "IN", "BREAK", "CONTINUE", "RETURN", "TIMESTAMP", "SORT", "ARGSORT", "ARGMIN", "ARGMAX", "SOFTMAX", "SOFTMIN", "UNIQUE", "FLIP", "COV", "CORR", "ENTROPY", "CROP", "NONE", "NOISE", "RAND", "CAUCHY", "EXPONENTIAL", "LOGNORMAL", "BERNOULLI", "POISSON", "GAMMADIST", "BETADIST", "LAPLACEDIST", "GUMBELDIST", "WEIBULLDIST", "CHI2DIST", "STUDENTTDIST", "PERLIN", "CELLULAR", "PLASMA", "PLUS", "MINUS", "MULT", "DIV", "MOD", "POW", "LSHIFT", "RSHIFT", "GE", "GT", "LE", "LT", "EQ", "EQUEALS", "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