# 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 [ 4,0,204,2271,6,-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, 7,202,2,203,7,203,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1, 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, 35,1,35,1,35,1,35,1,35,3,35,602,8,35,1,36,1,36,1,36,1,36,1,36,1, 36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,3,36,617,8,36,1,37,1,37,1, 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, 46,1,46,1,46,1,46,1,46,1,46,1,46,3,46,693,8,46,1,47,1,47,1,47,1, 47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,3,47,710, 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, 1,49,1,49,1,49,1,49,3,49,728,8,49,1,50,1,50,1,50,1,50,1,50,1,50, 1,50,1,50,1,50,1,50,1,50,3,50,741,8,50,1,51,1,51,1,51,1,51,1,51, 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, 1,61,3,61,814,8,61,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,62, 1,62,1,62,1,62,1,62,1,62,1,62,3,62,831,8,62,1,63,1,63,1,63,1,63, 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, 3,71,889,8,71,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,73,1,73,1,73, 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, 1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,3,76,938, 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, 1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,3,77,960,8,77,1,78,1,78, 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, 3,78,977,8,78,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79, 1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,3,79,998,8,79,1,80, 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, 1013,8,80,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81, 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, 1,82,3,82,1040,8,82,1,83,1,83,1,83,1,83,1,83,1,83,1,84,1,84,1,84, 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, 1,84,1,84,1,84,1,84,1,84,1,84,1,84,3,84,1071,8,84,1,85,1,85,1,85, 1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,3,85,1087, 8,85,1,86,1,86,1,86,1,86,1,86,1,86,1,86,1,86,1,87,1,87,1,87,1,87, 1,87,1,87,1,87,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88, 1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,90,1,90, 1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90, 1,90,1,90,1,90,1,90,1,90,3,90,1145,8,90,1,91,1,91,1,91,1,91,1,91, 1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,92,1,92,1,92,1,92,1,92,1,92, 1,92,1,92,1,92,1,92,1,92,1,92,1,92,1,92,1,93,1,93,1,93,1,93,1,93, 1,93,1,93,1,93,1,94,1,94,1,94,1,94,1,95,1,95,1,95,1,95,1,95,1,95, 1,96,1,96,1,96,1,96,1,96,1,96,1,96,1,97,1,97,1,97,1,97,1,97,1,98, 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, 1,98,3,98,1218,8,98,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99, 1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99, 3,99,1242,8,99,1,100,1,100,1,100,1,100,1,100,1,100,1,101,1,101,1, 101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101, 1,101,1,101,3,101,1265,8,101,1,102,1,102,1,102,1,102,1,102,1,102, 1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102,3,102,1282, 8,102,1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,103, 1,103,1,103,1,103,3,103,1297,8,103,1,104,1,104,1,104,1,104,1,104, 1,104,1,104,1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105, 1,105,1,105,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106, 1,106,1,107,1,107,1,107,1,107,1,107,1,107,1,107,1,107,1,107,1,107, 1,107,1,107,1,108,1,108,1,108,1,108,1,108,1,108,1,108,1,108,1,108, 1,108,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109, 1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110, 1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110,3,110,1379, 8,110,1,111,1,111,1,111,1,111,1,112,1,112,1,112,1,112,1,112,1,112, 1,113,1,113,1,113,1,113,1,113,1,113,1,114,1,114,1,114,1,114,1,114, 1,114,1,115,1,115,1,115,1,115,1,115,1,116,1,116,1,116,1,116,1,116, 1,116,1,117,1,117,1,117,1,117,1,117,1,118,1,118,1,118,1,118,1,118, 1,118,1,118,1,118,1,118,1,118,1,119,1,119,1,119,1,119,1,119,1,119, 1,119,1,120,1,120,1,120,1,120,1,120,1,121,1,121,1,121,1,121,1,121, 1,121,1,121,1,121,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,123, 1,123,1,123,1,123,1,123,1,123,1,124,1,124,1,124,1,124,1,124,1,124, 1,124,1,124,1,124,1,124,1,124,1,125,1,125,1,125,1,125,1,125,1,125, 1,125,1,125,1,125,1,125,1,125,1,125,1,126,1,126,1,126,1,126,1,126, 1,126,1,126,1,126,1,126,1,126,1,126,1,127,1,127,1,127,1,127,1,127, 1,127,1,127,1,127,1,127,1,127,1,127,1,128,1,128,1,128,1,128,1,128, 1,128,1,128,1,128,1,128,1,128,1,128,1,129,1,129,1,129,1,129,1,129, 1,129,1,129,1,129,1,129,1,129,1,129,1,130,1,130,1,130,1,131,1,131, 1,131,1,131,1,131,1,132,1,132,1,132,1,132,1,132,1,132,1,133,1,133, 1,133,1,133,1,134,1,134,1,134,1,135,1,135,1,135,1,135,1,135,1,135, 1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,137,1,137, 1,137,1,137,1,137,1,137,1,137,1,138,1,138,1,138,1,138,1,138,1,138, 1,138,1,138,1,138,1,138,1,138,1,138,3,138,1584,8,138,1,139,1,139, 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, 1,142,1,142,1,142,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143, 1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,145,1,145,1,145, 1,145,1,145,1,145,1,145,1,146,1,146,1,146,1,146,1,146,1,147,1,147, 1,147,1,147,1,147,1,148,1,148,1,148,1,148,1,149,1,149,1,149,1,149, 1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149, 3,149,1665,8,149,1,150,1,150,1,150,1,150,1,150,1,150,1,150,1,150, 1,151,1,151,1,151,1,151,1,151,1,152,1,152,1,152,1,152,1,152,1,152, 1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,152,3,152, 1696,8,152,1,153,1,153,1,153,1,153,1,153,1,153,1,153,1,153,1,153, 1,153,1,153,1,153,1,153,1,153,1,153,1,153,1,153,1,153,1,153,1,153, 1,153,1,153,1,153,3,153,1721,8,153,1,154,1,154,1,154,1,154,1,154, 1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154, 1,154,1,154,1,154,1,154,1,154,1,154,1,154,3,154,1746,8,154,1,155, 1,155,1,155,1,155,1,155,1,155,1,155,1,155,1,155,1,155,1,155,1,155, 1,155,1,155,1,155,1,155,1,155,1,155,3,155,1766,8,155,1,156,1,156, 1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156, 1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,3,156, 1791,8,156,1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157, 1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157, 1,157,1,157,1,157,3,157,1816,8,157,1,158,1,158,1,158,1,158,1,158, 1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158, 1,158,1,158,1,158,1,158,1,158,3,158,1839,8,158,1,159,1,159,1,159, 1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159, 1,159,1,159,1,159,1,159,1,159,3,159,1860,8,159,1,160,1,160,1,160, 1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160, 1,160,1,160,1,160,3,160,1879,8,160,1,161,1,161,1,161,1,161,1,161, 1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161, 1,161,1,161,1,161,3,161,1900,8,161,1,162,1,162,1,162,1,162,1,162, 1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162, 1,162,1,162,1,162,3,162,1921,8,162,1,163,1,163,1,163,1,163,1,163, 1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163, 1,163,1,163,1,163,1,163,1,163,1,163,1,163,3,163,1946,8,163,1,164, 1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164, 1,164,1,164,1,164,1,164,1,164,1,164,1,164,3,164,1967,8,164,1,165, 1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165, 1,165,1,165,1,165,1,165,1,165,1,165,1,165,3,165,1988,8,165,1,166, 1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166, 1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166,3,166,2010,8,166, 1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167, 1,167,1,167,1,167,1,167,1,167,1,167,1,167,3,167,2030,8,167,1,168, 1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168, 1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168, 1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168, 1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168, 1,168,1,168,1,168,3,168,2080,8,168,1,169,1,169,1,169,1,169,1,169, 1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169, 1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169, 1,169,3,169,2110,8,169,1,170,1,170,1,171,1,171,1,172,1,172,1,173, 1,173,1,174,1,174,1,175,1,175,1,176,1,176,1,176,1,177,1,177,1,177, 1,178,1,178,1,178,1,179,1,179,1,180,1,180,1,180,1,181,1,181,1,182, 1,182,1,182,1,183,1,183,1,184,1,184,1,184,1,185,1,185,1,186,1,186, 1,187,1,187,1,188,1,188,1,189,1,189,1,190,1,190,1,190,1,191,1,191, 1,192,1,192,1,193,1,193,1,194,1,194,1,195,1,195,1,196,1,196,1,197, 4,197,2174,8,197,11,197,12,197,2175,1,197,1,197,5,197,2180,8,197, 10,197,12,197,2183,9,197,3,197,2185,8,197,1,197,1,197,4,197,2189, 8,197,11,197,12,197,2190,3,197,2193,8,197,1,197,1,197,3,197,2197, 8,197,1,197,4,197,2200,8,197,11,197,12,197,2201,3,197,2204,8,197, 1,198,1,198,1,198,1,198,1,198,3,198,2211,8,198,1,199,1,199,1,199, 1,199,5,199,2217,8,199,10,199,12,199,2220,9,199,1,199,1,199,1,199, 1,199,1,199,5,199,2227,8,199,10,199,12,199,2230,9,199,1,199,3,199, 2233,8,199,1,200,1,200,5,200,2237,8,200,10,200,12,200,2240,9,200, 1,201,1,201,5,201,2244,8,201,10,201,12,201,2247,9,201,1,201,1,201, 1,202,1,202,1,202,1,202,5,202,2255,8,202,10,202,12,202,2258,9,202, 1,202,1,202,1,202,1,202,1,202,1,203,4,203,2266,8,203,11,203,12,203, 2267,1,203,1,203,1,2256,0,204,1,1,3,2,5,3,7,4,9,5,11,6,13,7,15,8, 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, 407,204,1,0,9,1,0,48,57,2,0,69,69,101,101,2,0,43,43,45,45,4,0,10, 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, 13,32,32,2344,0,1,1,0,0,0,0,3,1,0,0,0,0,5,1,0,0,0,0,7,1,0,0,0,0, 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, 0,403,1,0,0,0,0,405,1,0,0,0,0,407,1,0,0,0,1,409,1,0,0,0,3,413,1, 0,0,0,5,417,1,0,0,0,7,421,1,0,0,0,9,426,1,0,0,0,11,431,1,0,0,0,13, 436,1,0,0,0,15,442,1,0,0,0,17,447,1,0,0,0,19,452,1,0,0,0,21,457, 1,0,0,0,23,463,1,0,0,0,25,469,1,0,0,0,27,475,1,0,0,0,29,479,1,0, 0,0,31,484,1,0,0,0,33,487,1,0,0,0,35,491,1,0,0,0,37,495,1,0,0,0, 39,500,1,0,0,0,41,505,1,0,0,0,43,510,1,0,0,0,45,515,1,0,0,0,47,521, 1,0,0,0,49,527,1,0,0,0,51,533,1,0,0,0,53,538,1,0,0,0,55,544,1,0, 0,0,57,550,1,0,0,0,59,554,1,0,0,0,61,559,1,0,0,0,63,565,1,0,0,0, 65,569,1,0,0,0,67,574,1,0,0,0,69,580,1,0,0,0,71,601,1,0,0,0,73,616, 1,0,0,0,75,618,1,0,0,0,77,623,1,0,0,0,79,628,1,0,0,0,81,639,1,0, 0,0,83,645,1,0,0,0,85,650,1,0,0,0,87,659,1,0,0,0,89,664,1,0,0,0, 91,669,1,0,0,0,93,692,1,0,0,0,95,709,1,0,0,0,97,711,1,0,0,0,99,727, 1,0,0,0,101,740,1,0,0,0,103,742,1,0,0,0,105,748,1,0,0,0,107,757, 1,0,0,0,109,766,1,0,0,0,111,771,1,0,0,0,113,776,1,0,0,0,115,781, 1,0,0,0,117,785,1,0,0,0,119,790,1,0,0,0,121,794,1,0,0,0,123,813, 1,0,0,0,125,830,1,0,0,0,127,832,1,0,0,0,129,841,1,0,0,0,131,845, 1,0,0,0,133,852,1,0,0,0,135,856,1,0,0,0,137,863,1,0,0,0,139,867, 1,0,0,0,141,871,1,0,0,0,143,888,1,0,0,0,145,890,1,0,0,0,147,897, 1,0,0,0,149,902,1,0,0,0,151,909,1,0,0,0,153,937,1,0,0,0,155,959, 1,0,0,0,157,976,1,0,0,0,159,997,1,0,0,0,161,1012,1,0,0,0,163,1014, 1,0,0,0,165,1039,1,0,0,0,167,1041,1,0,0,0,169,1070,1,0,0,0,171,1086, 1,0,0,0,173,1088,1,0,0,0,175,1096,1,0,0,0,177,1103,1,0,0,0,179,1113, 1,0,0,0,181,1144,1,0,0,0,183,1146,1,0,0,0,185,1158,1,0,0,0,187,1172, 1,0,0,0,189,1180,1,0,0,0,191,1184,1,0,0,0,193,1190,1,0,0,0,195,1197, 1,0,0,0,197,1217,1,0,0,0,199,1241,1,0,0,0,201,1243,1,0,0,0,203,1264, 1,0,0,0,205,1281,1,0,0,0,207,1296,1,0,0,0,209,1298,1,0,0,0,211,1305, 1,0,0,0,213,1316,1,0,0,0,215,1326,1,0,0,0,217,1338,1,0,0,0,219,1348, 1,0,0,0,221,1378,1,0,0,0,223,1380,1,0,0,0,225,1384,1,0,0,0,227,1390, 1,0,0,0,229,1396,1,0,0,0,231,1402,1,0,0,0,233,1407,1,0,0,0,235,1413, 1,0,0,0,237,1418,1,0,0,0,239,1428,1,0,0,0,241,1435,1,0,0,0,243,1440, 1,0,0,0,245,1448,1,0,0,0,247,1455,1,0,0,0,249,1461,1,0,0,0,251,1472, 1,0,0,0,253,1484,1,0,0,0,255,1495,1,0,0,0,257,1506,1,0,0,0,259,1517, 1,0,0,0,261,1528,1,0,0,0,263,1531,1,0,0,0,265,1536,1,0,0,0,267,1542, 1,0,0,0,269,1546,1,0,0,0,271,1549,1,0,0,0,273,1555,1,0,0,0,275,1564, 1,0,0,0,277,1583,1,0,0,0,279,1585,1,0,0,0,281,1590,1,0,0,0,283,1598, 1,0,0,0,285,1605,1,0,0,0,287,1612,1,0,0,0,289,1620,1,0,0,0,291,1628, 1,0,0,0,293,1635,1,0,0,0,295,1640,1,0,0,0,297,1645,1,0,0,0,299,1664, 1,0,0,0,301,1666,1,0,0,0,303,1674,1,0,0,0,305,1695,1,0,0,0,307,1720, 1,0,0,0,309,1745,1,0,0,0,311,1765,1,0,0,0,313,1790,1,0,0,0,315,1815, 1,0,0,0,317,1838,1,0,0,0,319,1859,1,0,0,0,321,1878,1,0,0,0,323,1899, 1,0,0,0,325,1920,1,0,0,0,327,1945,1,0,0,0,329,1966,1,0,0,0,331,1987, 1,0,0,0,333,2009,1,0,0,0,335,2029,1,0,0,0,337,2079,1,0,0,0,339,2109, 1,0,0,0,341,2111,1,0,0,0,343,2113,1,0,0,0,345,2115,1,0,0,0,347,2117, 1,0,0,0,349,2119,1,0,0,0,351,2121,1,0,0,0,353,2123,1,0,0,0,355,2126, 1,0,0,0,357,2129,1,0,0,0,359,2132,1,0,0,0,361,2134,1,0,0,0,363,2137, 1,0,0,0,365,2139,1,0,0,0,367,2142,1,0,0,0,369,2144,1,0,0,0,371,2147, 1,0,0,0,373,2149,1,0,0,0,375,2151,1,0,0,0,377,2153,1,0,0,0,379,2155, 1,0,0,0,381,2157,1,0,0,0,383,2160,1,0,0,0,385,2162,1,0,0,0,387,2164, 1,0,0,0,389,2166,1,0,0,0,391,2168,1,0,0,0,393,2170,1,0,0,0,395,2192, 1,0,0,0,397,2210,1,0,0,0,399,2232,1,0,0,0,401,2234,1,0,0,0,403,2241, 1,0,0,0,405,2250,1,0,0,0,407,2265,1,0,0,0,409,410,5,115,0,0,410, 411,5,105,0,0,411,412,5,110,0,0,412,2,1,0,0,0,413,414,5,99,0,0,414, 415,5,111,0,0,415,416,5,115,0,0,416,4,1,0,0,0,417,418,5,116,0,0, 418,419,5,97,0,0,419,420,5,110,0,0,420,6,1,0,0,0,421,422,5,97,0, 0,422,423,5,115,0,0,423,424,5,105,0,0,424,425,5,110,0,0,425,8,1, 0,0,0,426,427,5,97,0,0,427,428,5,99,0,0,428,429,5,111,0,0,429,430, 5,115,0,0,430,10,1,0,0,0,431,432,5,97,0,0,432,433,5,116,0,0,433, 434,5,97,0,0,434,435,5,110,0,0,435,12,1,0,0,0,436,437,5,97,0,0,437, 438,5,116,0,0,438,439,5,97,0,0,439,440,5,110,0,0,440,441,5,50,0, 0,441,14,1,0,0,0,442,443,5,115,0,0,443,444,5,105,0,0,444,445,5,110, 0,0,445,446,5,104,0,0,446,16,1,0,0,0,447,448,5,99,0,0,448,449,5, 111,0,0,449,450,5,115,0,0,450,451,5,104,0,0,451,18,1,0,0,0,452,453, 5,116,0,0,453,454,5,97,0,0,454,455,5,110,0,0,455,456,5,104,0,0,456, 20,1,0,0,0,457,458,5,97,0,0,458,459,5,115,0,0,459,460,5,105,0,0, 460,461,5,110,0,0,461,462,5,104,0,0,462,22,1,0,0,0,463,464,5,97, 0,0,464,465,5,99,0,0,465,466,5,111,0,0,466,467,5,115,0,0,467,468, 5,104,0,0,468,24,1,0,0,0,469,470,5,97,0,0,470,471,5,116,0,0,471, 472,5,97,0,0,472,473,5,110,0,0,473,474,5,104,0,0,474,26,1,0,0,0, 475,476,5,97,0,0,476,477,5,98,0,0,477,478,5,115,0,0,478,28,1,0,0, 0,479,480,5,115,0,0,480,481,5,113,0,0,481,482,5,114,0,0,482,483, 5,116,0,0,483,30,1,0,0,0,484,485,5,108,0,0,485,486,5,110,0,0,486, 32,1,0,0,0,487,488,5,108,0,0,488,489,5,111,0,0,489,490,5,103,0,0, 490,34,1,0,0,0,491,492,5,101,0,0,492,493,5,120,0,0,493,494,5,112, 0,0,494,36,1,0,0,0,495,496,5,115,0,0,496,497,5,109,0,0,497,498,5, 105,0,0,498,499,5,110,0,0,499,38,1,0,0,0,500,501,5,115,0,0,501,502, 5,109,0,0,502,503,5,97,0,0,503,504,5,120,0,0,504,40,1,0,0,0,505, 506,5,116,0,0,506,507,5,109,0,0,507,508,5,105,0,0,508,509,5,110, 0,0,509,42,1,0,0,0,510,511,5,116,0,0,511,512,5,109,0,0,512,513,5, 97,0,0,513,514,5,120,0,0,514,44,1,0,0,0,515,516,5,116,0,0,516,517, 5,110,0,0,517,518,5,111,0,0,518,519,5,114,0,0,519,520,5,109,0,0, 520,46,1,0,0,0,521,522,5,115,0,0,522,523,5,110,0,0,523,524,5,111, 0,0,524,525,5,114,0,0,525,526,5,109,0,0,526,48,1,0,0,0,527,528,5, 102,0,0,528,529,5,108,0,0,529,530,5,111,0,0,530,531,5,111,0,0,531, 532,5,114,0,0,532,50,1,0,0,0,533,534,5,99,0,0,534,535,5,101,0,0, 535,536,5,105,0,0,536,537,5,108,0,0,537,52,1,0,0,0,538,539,5,114, 0,0,539,540,5,111,0,0,540,541,5,117,0,0,541,542,5,110,0,0,542,543, 5,100,0,0,543,54,1,0,0,0,544,545,5,103,0,0,545,546,5,97,0,0,546, 547,5,109,0,0,547,548,5,109,0,0,548,549,5,97,0,0,549,56,1,0,0,0, 550,551,5,112,0,0,551,552,5,111,0,0,552,553,5,119,0,0,553,58,1,0, 0,0,554,555,5,115,0,0,555,556,5,105,0,0,556,557,5,103,0,0,557,558, 5,109,0,0,558,60,1,0,0,0,559,560,5,99,0,0,560,561,5,108,0,0,561, 562,5,97,0,0,562,563,5,109,0,0,563,564,5,112,0,0,564,62,1,0,0,0, 565,566,5,102,0,0,566,567,5,102,0,0,567,568,5,116,0,0,568,64,1,0, 0,0,569,570,5,105,0,0,570,571,5,102,0,0,571,572,5,102,0,0,572,573, 5,116,0,0,573,66,1,0,0,0,574,575,5,97,0,0,575,576,5,110,0,0,576, 577,5,103,0,0,577,578,5,108,0,0,578,579,5,101,0,0,579,68,1,0,0,0, 580,581,5,112,0,0,581,582,5,114,0,0,582,583,5,105,0,0,583,584,5, 110,0,0,584,585,5,116,0,0,585,70,1,0,0,0,586,587,5,112,0,0,587,588, 5,114,0,0,588,589,5,105,0,0,589,590,5,110,0,0,590,591,5,116,0,0, 591,592,5,95,0,0,592,593,5,115,0,0,593,594,5,104,0,0,594,595,5,97, 0,0,595,596,5,112,0,0,596,602,5,101,0,0,597,598,5,112,0,0,598,599, 5,115,0,0,599,600,5,104,0,0,600,602,5,112,0,0,601,586,1,0,0,0,601, 597,1,0,0,0,602,72,1,0,0,0,603,604,5,110,0,0,604,605,5,118,0,0,605, 617,5,108,0,0,606,607,5,110,0,0,607,608,5,97,0,0,608,609,5,110,0, 0,609,610,5,95,0,0,610,611,5,116,0,0,611,612,5,111,0,0,612,613,5, 95,0,0,613,614,5,110,0,0,614,615,5,117,0,0,615,617,5,109,0,0,616, 603,1,0,0,0,616,606,1,0,0,0,617,74,1,0,0,0,618,619,5,108,0,0,619, 620,5,101,0,0,620,621,5,114,0,0,621,622,5,112,0,0,622,76,1,0,0,0, 623,624,5,115,0,0,624,625,5,116,0,0,625,626,5,101,0,0,626,627,5, 112,0,0,627,78,1,0,0,0,628,629,5,115,0,0,629,630,5,109,0,0,630,631, 5,111,0,0,631,632,5,111,0,0,632,633,5,116,0,0,633,634,5,104,0,0, 634,635,5,115,0,0,635,636,5,116,0,0,636,637,5,101,0,0,637,638,5, 112,0,0,638,80,1,0,0,0,639,640,5,102,0,0,640,641,5,114,0,0,641,642, 5,97,0,0,642,643,5,99,0,0,643,644,5,116,0,0,644,82,1,0,0,0,645,646, 5,114,0,0,646,647,5,101,0,0,647,648,5,108,0,0,648,649,5,117,0,0, 649,84,1,0,0,0,650,651,5,115,0,0,651,652,5,111,0,0,652,653,5,102, 0,0,653,654,5,116,0,0,654,655,5,112,0,0,655,656,5,108,0,0,656,657, 5,117,0,0,657,658,5,115,0,0,658,86,1,0,0,0,659,660,5,103,0,0,660, 661,5,101,0,0,661,662,5,108,0,0,662,663,5,117,0,0,663,88,1,0,0,0, 664,665,5,115,0,0,665,666,5,105,0,0,666,667,5,103,0,0,667,668,5, 110,0,0,668,90,1,0,0,0,669,670,5,109,0,0,670,671,5,97,0,0,671,672, 5,112,0,0,672,92,1,0,0,0,673,674,5,101,0,0,674,675,5,122,0,0,675, 676,5,99,0,0,676,677,5,111,0,0,677,678,5,110,0,0,678,679,5,118,0, 0,679,680,5,111,0,0,680,681,5,108,0,0,681,682,5,117,0,0,682,683, 5,116,0,0,683,684,5,105,0,0,684,685,5,111,0,0,685,693,5,110,0,0, 686,687,5,101,0,0,687,688,5,122,0,0,688,689,5,99,0,0,689,690,5,111, 0,0,690,691,5,110,0,0,691,693,5,118,0,0,692,673,1,0,0,0,692,686, 1,0,0,0,693,94,1,0,0,0,694,695,5,99,0,0,695,696,5,111,0,0,696,697, 5,110,0,0,697,698,5,118,0,0,698,699,5,111,0,0,699,700,5,108,0,0, 700,701,5,117,0,0,701,702,5,116,0,0,702,703,5,105,0,0,703,704,5, 111,0,0,704,710,5,110,0,0,705,706,5,99,0,0,706,707,5,111,0,0,707, 708,5,110,0,0,708,710,5,118,0,0,709,694,1,0,0,0,709,705,1,0,0,0, 710,96,1,0,0,0,711,712,5,115,0,0,712,713,5,119,0,0,713,714,5,97, 0,0,714,715,5,112,0,0,715,98,1,0,0,0,716,717,5,112,0,0,717,718,5, 101,0,0,718,719,5,114,0,0,719,720,5,109,0,0,720,721,5,117,0,0,721, 722,5,116,0,0,722,728,5,101,0,0,723,724,5,112,0,0,724,725,5,101, 0,0,725,726,5,114,0,0,726,728,5,109,0,0,727,716,1,0,0,0,727,723, 1,0,0,0,728,100,1,0,0,0,729,730,5,114,0,0,730,731,5,101,0,0,731, 732,5,115,0,0,732,733,5,104,0,0,733,734,5,97,0,0,734,735,5,112,0, 0,735,741,5,101,0,0,736,737,5,114,0,0,737,738,5,115,0,0,738,739, 5,104,0,0,739,741,5,112,0,0,740,729,1,0,0,0,740,736,1,0,0,0,741, 102,1,0,0,0,742,743,5,114,0,0,743,744,5,97,0,0,744,745,5,110,0,0, 745,746,5,103,0,0,746,747,5,101,0,0,747,104,1,0,0,0,748,749,5,108, 0,0,749,750,5,105,0,0,750,751,5,110,0,0,751,752,5,115,0,0,752,753, 5,112,0,0,753,754,5,97,0,0,754,755,5,99,0,0,755,756,5,101,0,0,756, 106,1,0,0,0,757,758,5,108,0,0,758,759,5,111,0,0,759,760,5,103,0, 0,760,761,5,115,0,0,761,762,5,112,0,0,762,763,5,97,0,0,763,764,5, 99,0,0,764,765,5,101,0,0,765,108,1,0,0,0,766,767,5,116,0,0,767,768, 5,111,0,0,768,769,5,112,0,0,769,770,5,107,0,0,770,110,1,0,0,0,771, 772,5,98,0,0,772,773,5,111,0,0,773,774,5,116,0,0,774,775,5,107,0, 0,775,112,1,0,0,0,776,777,5,112,0,0,777,778,5,105,0,0,778,779,5, 110,0,0,779,780,5,118,0,0,780,114,1,0,0,0,781,782,5,115,0,0,782, 783,5,117,0,0,783,784,5,109,0,0,784,116,1,0,0,0,785,786,5,109,0, 0,786,787,5,101,0,0,787,788,5,97,0,0,788,789,5,110,0,0,789,118,1, 0,0,0,790,791,5,115,0,0,791,792,5,116,0,0,792,793,5,100,0,0,793, 120,1,0,0,0,794,795,5,118,0,0,795,796,5,97,0,0,796,797,5,114,0,0, 797,122,1,0,0,0,798,799,5,113,0,0,799,800,5,117,0,0,800,801,5,97, 0,0,801,802,5,114,0,0,802,803,5,116,0,0,803,804,5,105,0,0,804,805, 5,108,0,0,805,814,5,101,0,0,806,807,5,113,0,0,807,808,5,117,0,0, 808,809,5,97,0,0,809,810,5,114,0,0,810,811,5,116,0,0,811,812,5,105, 0,0,812,814,5,108,0,0,813,798,1,0,0,0,813,806,1,0,0,0,814,124,1, 0,0,0,815,816,5,112,0,0,816,817,5,101,0,0,817,818,5,114,0,0,818, 819,5,99,0,0,819,820,5,101,0,0,820,821,5,110,0,0,821,822,5,116,0, 0,822,823,5,105,0,0,823,824,5,108,0,0,824,831,5,101,0,0,825,826, 5,112,0,0,826,827,5,114,0,0,827,828,5,99,0,0,828,829,5,110,0,0,829, 831,5,116,0,0,830,815,1,0,0,0,830,825,1,0,0,0,831,126,1,0,0,0,832, 833,5,113,0,0,833,834,5,117,0,0,834,835,5,97,0,0,835,836,5,110,0, 0,836,837,5,116,0,0,837,838,5,105,0,0,838,839,5,108,0,0,839,840, 5,101,0,0,840,128,1,0,0,0,841,842,5,100,0,0,842,843,5,111,0,0,843, 844,5,116,0,0,844,130,1,0,0,0,845,846,5,109,0,0,846,847,5,111,0, 0,847,848,5,109,0,0,848,849,5,101,0,0,849,850,5,110,0,0,850,851, 5,116,0,0,851,132,1,0,0,0,852,853,5,101,0,0,853,854,5,114,0,0,854, 855,5,102,0,0,855,134,1,0,0,0,856,857,5,101,0,0,857,858,5,114,0, 0,858,859,5,102,0,0,859,860,5,105,0,0,860,861,5,110,0,0,861,862, 5,118,0,0,862,136,1,0,0,0,863,864,5,97,0,0,864,865,5,110,0,0,865, 866,5,121,0,0,866,138,1,0,0,0,867,868,5,97,0,0,868,869,5,108,0,0, 869,870,5,108,0,0,870,140,1,0,0,0,871,872,5,101,0,0,872,873,5,100, 0,0,873,874,5,103,0,0,874,875,5,101,0,0,875,142,1,0,0,0,876,877, 5,98,0,0,877,878,5,108,0,0,878,879,5,117,0,0,879,889,5,114,0,0,880, 881,5,103,0,0,881,882,5,97,0,0,882,883,5,117,0,0,883,884,5,115,0, 0,884,885,5,115,0,0,885,886,5,105,0,0,886,887,5,97,0,0,887,889,5, 110,0,0,888,876,1,0,0,0,888,880,1,0,0,0,889,144,1,0,0,0,890,891, 5,109,0,0,891,892,5,101,0,0,892,893,5,100,0,0,893,894,5,105,0,0, 894,895,5,97,0,0,895,896,5,110,0,0,896,146,1,0,0,0,897,898,5,109, 0,0,898,899,5,111,0,0,899,900,5,100,0,0,900,901,5,101,0,0,901,148, 1,0,0,0,902,903,5,99,0,0,903,904,5,117,0,0,904,905,5,109,0,0,905, 906,5,115,0,0,906,907,5,117,0,0,907,908,5,109,0,0,908,150,1,0,0, 0,909,910,5,99,0,0,910,911,5,117,0,0,911,912,5,109,0,0,912,913,5, 112,0,0,913,914,5,114,0,0,914,915,5,111,0,0,915,916,5,100,0,0,916, 152,1,0,0,0,917,918,5,116,0,0,918,919,5,111,0,0,919,920,5,112,0, 0,920,921,5,107,0,0,921,922,5,95,0,0,922,923,5,105,0,0,923,924,5, 110,0,0,924,938,5,100,0,0,925,926,5,116,0,0,926,927,5,111,0,0,927, 928,5,112,0,0,928,929,5,107,0,0,929,930,5,95,0,0,930,931,5,105,0, 0,931,932,5,110,0,0,932,933,5,100,0,0,933,934,5,105,0,0,934,935, 5,99,0,0,935,936,5,101,0,0,936,938,5,115,0,0,937,917,1,0,0,0,937, 925,1,0,0,0,938,154,1,0,0,0,939,940,5,98,0,0,940,941,5,111,0,0,941, 942,5,116,0,0,942,943,5,107,0,0,943,944,5,95,0,0,944,945,5,105,0, 0,945,946,5,110,0,0,946,960,5,100,0,0,947,948,5,98,0,0,948,949,5, 111,0,0,949,950,5,116,0,0,950,951,5,107,0,0,951,952,5,95,0,0,952, 953,5,105,0,0,953,954,5,110,0,0,954,955,5,100,0,0,955,956,5,105, 0,0,956,957,5,99,0,0,957,958,5,101,0,0,958,960,5,115,0,0,959,939, 1,0,0,0,959,947,1,0,0,0,960,156,1,0,0,0,961,962,5,99,0,0,962,963, 5,117,0,0,963,964,5,98,0,0,964,965,5,105,0,0,965,966,5,99,0,0,966, 967,5,95,0,0,967,968,5,101,0,0,968,969,5,97,0,0,969,970,5,115,0, 0,970,977,5,101,0,0,971,972,5,99,0,0,972,973,5,117,0,0,973,974,5, 98,0,0,974,975,5,105,0,0,975,977,5,99,0,0,976,961,1,0,0,0,976,971, 1,0,0,0,977,158,1,0,0,0,978,979,5,101,0,0,979,980,5,108,0,0,980, 981,5,97,0,0,981,982,5,115,0,0,982,983,5,116,0,0,983,984,5,105,0, 0,984,985,5,99,0,0,985,986,5,95,0,0,986,987,5,101,0,0,987,988,5, 97,0,0,988,989,5,115,0,0,989,998,5,101,0,0,990,991,5,101,0,0,991, 992,5,108,0,0,992,993,5,97,0,0,993,994,5,115,0,0,994,995,5,116,0, 0,995,996,5,105,0,0,996,998,5,99,0,0,997,978,1,0,0,0,997,990,1,0, 0,0,998,160,1,0,0,0,999,1000,5,115,0,0,1000,1001,5,105,0,0,1001, 1002,5,110,0,0,1002,1003,5,101,0,0,1003,1004,5,95,0,0,1004,1005, 5,101,0,0,1005,1006,5,97,0,0,1006,1007,5,115,0,0,1007,1013,5,101, 0,0,1008,1009,5,115,0,0,1009,1010,5,105,0,0,1010,1011,5,110,0,0, 1011,1013,5,101,0,0,1012,999,1,0,0,0,1012,1008,1,0,0,0,1013,162, 1,0,0,0,1014,1015,5,115,0,0,1015,1016,5,109,0,0,1016,1017,5,111, 0,0,1017,1018,5,111,0,0,1018,1019,5,116,0,0,1019,1020,5,104,0,0, 1020,1021,5,101,0,0,1021,1022,5,114,0,0,1022,1023,5,115,0,0,1023, 1024,5,116,0,0,1024,1025,5,101,0,0,1025,1026,5,112,0,0,1026,164, 1,0,0,0,1027,1028,5,100,0,0,1028,1029,5,105,0,0,1029,1030,5,115, 0,0,1030,1040,5,116,0,0,1031,1032,5,100,0,0,1032,1033,5,105,0,0, 1033,1034,5,115,0,0,1034,1035,5,116,0,0,1035,1036,5,97,0,0,1036, 1037,5,110,0,0,1037,1038,5,99,0,0,1038,1040,5,101,0,0,1039,1027, 1,0,0,0,1039,1031,1,0,0,0,1040,166,1,0,0,0,1041,1042,5,114,0,0,1042, 1043,5,101,0,0,1043,1044,5,109,0,0,1044,1045,5,97,0,0,1045,1046, 5,112,0,0,1046,168,1,0,0,0,1047,1048,5,99,0,0,1048,1049,5,111,0, 0,1049,1050,5,115,0,0,1050,1051,5,115,0,0,1051,1052,5,105,0,0,1052, 1071,5,109,0,0,1053,1054,5,99,0,0,1054,1055,5,111,0,0,1055,1056, 5,115,0,0,1056,1057,5,105,0,0,1057,1058,5,110,0,0,1058,1059,5,101, 0,0,1059,1060,5,95,0,0,1060,1061,5,115,0,0,1061,1062,5,105,0,0,1062, 1063,5,109,0,0,1063,1064,5,105,0,0,1064,1065,5,108,0,0,1065,1066, 5,97,0,0,1066,1067,5,114,0,0,1067,1068,5,105,0,0,1068,1069,5,116, 0,0,1069,1071,5,121,0,0,1070,1047,1,0,0,0,1070,1053,1,0,0,0,1071, 170,1,0,0,0,1072,1073,5,99,0,0,1073,1074,5,111,0,0,1074,1075,5,117, 0,0,1075,1076,5,110,0,0,1076,1087,5,116,0,0,1077,1078,5,99,0,0,1078, 1079,5,110,0,0,1079,1087,5,116,0,0,1080,1081,5,108,0,0,1081,1082, 5,101,0,0,1082,1083,5,110,0,0,1083,1084,5,103,0,0,1084,1085,5,116, 0,0,1085,1087,5,104,0,0,1086,1072,1,0,0,0,1086,1077,1,0,0,0,1086, 1080,1,0,0,0,1087,172,1,0,0,0,1088,1089,5,102,0,0,1089,1090,5,108, 0,0,1090,1091,5,97,0,0,1091,1092,5,116,0,0,1092,1093,5,116,0,0,1093, 1094,5,101,0,0,1094,1095,5,110,0,0,1095,174,1,0,0,0,1096,1097,5, 97,0,0,1097,1098,5,112,0,0,1098,1099,5,112,0,0,1099,1100,5,101,0, 0,1100,1101,5,110,0,0,1101,1102,5,100,0,0,1102,176,1,0,0,0,1103, 1104,5,103,0,0,1104,1105,5,101,0,0,1105,1106,5,116,0,0,1106,1107, 5,95,0,0,1107,1108,5,118,0,0,1108,1109,5,97,0,0,1109,1110,5,108, 0,0,1110,1111,5,117,0,0,1111,1112,5,101,0,0,1112,178,1,0,0,0,1113, 1114,5,102,0,0,1114,1115,5,108,0,0,1115,1116,5,111,0,0,1116,1117, 5,119,0,0,1117,1118,5,95,0,0,1118,1119,5,97,0,0,1119,1120,5,112, 0,0,1120,1121,5,112,0,0,1121,1122,5,108,0,0,1122,1123,5,121,0,0, 1123,180,1,0,0,0,1124,1125,5,98,0,0,1125,1126,5,97,0,0,1126,1127, 5,116,0,0,1127,1128,5,99,0,0,1128,1129,5,104,0,0,1129,1130,5,95, 0,0,1130,1131,5,115,0,0,1131,1132,5,104,0,0,1132,1133,5,117,0,0, 1133,1134,5,102,0,0,1134,1135,5,102,0,0,1135,1136,5,108,0,0,1136, 1145,5,101,0,0,1137,1138,5,115,0,0,1138,1139,5,104,0,0,1139,1140, 5,117,0,0,1140,1141,5,102,0,0,1141,1142,5,102,0,0,1142,1143,5,108, 0,0,1143,1145,5,101,0,0,1144,1124,1,0,0,0,1144,1137,1,0,0,0,1145, 182,1,0,0,0,1146,1147,5,109,0,0,1147,1148,5,111,0,0,1148,1149,5, 116,0,0,1149,1150,5,105,0,0,1150,1151,5,111,0,0,1151,1152,5,110, 0,0,1152,1153,5,95,0,0,1153,1154,5,109,0,0,1154,1155,5,97,0,0,1155, 1156,5,115,0,0,1156,1157,5,107,0,0,1157,184,1,0,0,0,1158,1159,5, 102,0,0,1159,1160,5,108,0,0,1160,1161,5,111,0,0,1161,1162,5,119, 0,0,1162,1163,5,95,0,0,1163,1164,5,116,0,0,1164,1165,5,111,0,0,1165, 1166,5,95,0,0,1166,1167,5,105,0,0,1167,1168,5,109,0,0,1168,1169, 5,97,0,0,1169,1170,5,103,0,0,1170,1171,5,101,0,0,1171,186,1,0,0, 0,1172,1173,5,111,0,0,1173,1174,5,118,0,0,1174,1175,5,101,0,0,1175, 1176,5,114,0,0,1176,1177,5,108,0,0,1177,1178,5,97,0,0,1178,1179, 5,121,0,0,1179,188,1,0,0,0,1180,1181,5,112,0,0,1181,1182,5,97,0, 0,1182,1183,5,100,0,0,1183,190,1,0,0,0,1184,1185,5,99,0,0,1185,1186, 5,114,0,0,1186,1187,5,111,0,0,1187,1188,5,115,0,0,1188,1189,5,115, 0,0,1189,192,1,0,0,0,1190,1191,5,109,0,0,1191,1192,5,97,0,0,1192, 1193,5,116,0,0,1193,1194,5,109,0,0,1194,1195,5,117,0,0,1195,1196, 5,108,0,0,1196,194,1,0,0,0,1197,1198,5,114,0,0,1198,1199,5,105,0, 0,1199,1200,5,102,0,0,1200,1201,5,101,0,0,1201,196,1,0,0,0,1202, 1203,5,98,0,0,1203,1204,5,110,0,0,1204,1205,5,111,0,0,1205,1218, 5,116,0,0,1206,1207,5,98,0,0,1207,1208,5,105,0,0,1208,1209,5,116, 0,0,1209,1210,5,119,0,0,1210,1211,5,105,0,0,1211,1212,5,115,0,0, 1212,1213,5,101,0,0,1213,1214,5,95,0,0,1214,1215,5,110,0,0,1215, 1216,5,111,0,0,1216,1218,5,116,0,0,1217,1202,1,0,0,0,1217,1206,1, 0,0,0,1218,198,1,0,0,0,1219,1220,5,98,0,0,1220,1221,5,105,0,0,1221, 1222,5,116,0,0,1222,1223,5,99,0,0,1223,1224,5,111,0,0,1224,1225, 5,117,0,0,1225,1226,5,110,0,0,1226,1242,5,116,0,0,1227,1228,5,112, 0,0,1228,1229,5,111,0,0,1229,1230,5,112,0,0,1230,1231,5,99,0,0,1231, 1232,5,111,0,0,1232,1233,5,117,0,0,1233,1234,5,110,0,0,1234,1242, 5,116,0,0,1235,1236,5,112,0,0,1236,1237,5,111,0,0,1237,1238,5,112, 0,0,1238,1239,5,99,0,0,1239,1240,5,110,0,0,1240,1242,5,116,0,0,1241, 1219,1,0,0,0,1241,1227,1,0,0,0,1241,1235,1,0,0,0,1242,200,1,0,0, 0,1243,1244,5,115,0,0,1244,1245,5,104,0,0,1245,1246,5,97,0,0,1246, 1247,5,112,0,0,1247,1248,5,101,0,0,1248,202,1,0,0,0,1249,1250,5, 98,0,0,1250,1251,5,97,0,0,1251,1252,5,110,0,0,1252,1265,5,100,0, 0,1253,1254,5,98,0,0,1254,1255,5,105,0,0,1255,1256,5,116,0,0,1256, 1257,5,119,0,0,1257,1258,5,105,0,0,1258,1259,5,115,0,0,1259,1260, 5,101,0,0,1260,1261,5,95,0,0,1261,1262,5,97,0,0,1262,1263,5,110, 0,0,1263,1265,5,100,0,0,1264,1249,1,0,0,0,1264,1253,1,0,0,0,1265, 204,1,0,0,0,1266,1267,5,98,0,0,1267,1268,5,120,0,0,1268,1269,5,111, 0,0,1269,1282,5,114,0,0,1270,1271,5,98,0,0,1271,1272,5,105,0,0,1272, 1273,5,116,0,0,1273,1274,5,119,0,0,1274,1275,5,105,0,0,1275,1276, 5,115,0,0,1276,1277,5,101,0,0,1277,1278,5,95,0,0,1278,1279,5,120, 0,0,1279,1280,5,111,0,0,1280,1282,5,114,0,0,1281,1266,1,0,0,0,1281, 1270,1,0,0,0,1282,206,1,0,0,0,1283,1284,5,98,0,0,1284,1285,5,111, 0,0,1285,1297,5,114,0,0,1286,1287,5,98,0,0,1287,1288,5,105,0,0,1288, 1289,5,116,0,0,1289,1290,5,119,0,0,1290,1291,5,105,0,0,1291,1292, 5,115,0,0,1292,1293,5,101,0,0,1293,1294,5,95,0,0,1294,1295,5,111, 0,0,1295,1297,5,114,0,0,1296,1283,1,0,0,0,1296,1286,1,0,0,0,1297, 208,1,0,0,0,1298,1299,5,116,0,0,1299,1300,5,101,0,0,1300,1301,5, 110,0,0,1301,1302,5,115,0,0,1302,1303,5,111,0,0,1303,1304,5,114, 0,0,1304,210,1,0,0,0,1305,1306,5,115,0,0,1306,1307,5,116,0,0,1307, 1308,5,97,0,0,1308,1309,5,99,0,0,1309,1310,5,107,0,0,1310,1311,5, 95,0,0,1311,1312,5,112,0,0,1312,1313,5,117,0,0,1313,1314,5,115,0, 0,1314,1315,5,104,0,0,1315,212,1,0,0,0,1316,1317,5,115,0,0,1317, 1318,5,116,0,0,1318,1319,5,97,0,0,1319,1320,5,99,0,0,1320,1321,5, 107,0,0,1321,1322,5,95,0,0,1322,1323,5,112,0,0,1323,1324,5,111,0, 0,1324,1325,5,112,0,0,1325,214,1,0,0,0,1326,1327,5,115,0,0,1327, 1328,5,116,0,0,1328,1329,5,97,0,0,1329,1330,5,99,0,0,1330,1331,5, 107,0,0,1331,1332,5,95,0,0,1332,1333,5,99,0,0,1333,1334,5,108,0, 0,1334,1335,5,101,0,0,1335,1336,5,97,0,0,1336,1337,5,114,0,0,1337, 216,1,0,0,0,1338,1339,5,115,0,0,1339,1340,5,116,0,0,1340,1341,5, 97,0,0,1341,1342,5,99,0,0,1342,1343,5,107,0,0,1343,1344,5,95,0,0, 1344,1345,5,104,0,0,1345,1346,5,97,0,0,1346,1347,5,115,0,0,1347, 218,1,0,0,0,1348,1349,5,115,0,0,1349,1350,5,116,0,0,1350,1351,5, 97,0,0,1351,1352,5,99,0,0,1352,1353,5,107,0,0,1353,1354,5,95,0,0, 1354,1355,5,103,0,0,1355,1356,5,101,0,0,1356,1357,5,116,0,0,1357, 220,1,0,0,0,1358,1359,5,99,0,0,1359,1360,5,97,0,0,1360,1379,5,116, 0,0,1361,1362,5,99,0,0,1362,1363,5,111,0,0,1363,1364,5,110,0,0,1364, 1365,5,99,0,0,1365,1366,5,97,0,0,1366,1379,5,116,0,0,1367,1368,5, 99,0,0,1368,1369,5,111,0,0,1369,1370,5,110,0,0,1370,1371,5,99,0, 0,1371,1372,5,97,0,0,1372,1373,5,116,0,0,1373,1374,5,101,0,0,1374, 1375,5,110,0,0,1375,1376,5,97,0,0,1376,1377,5,116,0,0,1377,1379, 5,101,0,0,1378,1358,1,0,0,0,1378,1361,1,0,0,0,1378,1367,1,0,0,0, 1379,222,1,0,0,0,1380,1381,5,105,0,0,1381,1382,5,110,0,0,1382,1383, 5,116,0,0,1383,224,1,0,0,0,1384,1385,5,102,0,0,1385,1386,5,108,0, 0,1386,1387,5,111,0,0,1387,1388,5,97,0,0,1388,1389,5,116,0,0,1389, 226,1,0,0,0,1390,1391,5,117,0,0,1391,1392,5,112,0,0,1392,1393,5, 112,0,0,1393,1394,5,101,0,0,1394,1395,5,114,0,0,1395,228,1,0,0,0, 1396,1397,5,108,0,0,1397,1398,5,111,0,0,1398,1399,5,119,0,0,1399, 1400,5,101,0,0,1400,1401,5,114,0,0,1401,230,1,0,0,0,1402,1403,5, 116,0,0,1403,1404,5,114,0,0,1404,1405,5,105,0,0,1405,1406,5,109, 0,0,1406,232,1,0,0,0,1407,1408,5,115,0,0,1408,1409,5,112,0,0,1409, 1410,5,108,0,0,1410,1411,5,105,0,0,1411,1412,5,116,0,0,1412,234, 1,0,0,0,1413,1414,5,106,0,0,1414,1415,5,111,0,0,1415,1416,5,105, 0,0,1416,1417,5,110,0,0,1417,236,1,0,0,0,1418,1419,5,115,0,0,1419, 1420,5,117,0,0,1420,1421,5,98,0,0,1421,1422,5,115,0,0,1422,1423, 5,116,0,0,1423,1424,5,114,0,0,1424,1425,5,105,0,0,1425,1426,5,110, 0,0,1426,1427,5,103,0,0,1427,238,1,0,0,0,1428,1429,5,115,0,0,1429, 1430,5,117,0,0,1430,1431,5,98,0,0,1431,1432,5,115,0,0,1432,1433, 5,116,0,0,1433,1434,5,114,0,0,1434,240,1,0,0,0,1435,1436,5,102,0, 0,1436,1437,5,105,0,0,1437,1438,5,110,0,0,1438,1439,5,100,0,0,1439, 242,1,0,0,0,1440,1441,5,114,0,0,1441,1442,5,101,0,0,1442,1443,5, 112,0,0,1443,1444,5,108,0,0,1444,1445,5,97,0,0,1445,1446,5,99,0, 0,1446,1447,5,101,0,0,1447,244,1,0,0,0,1448,1449,5,100,0,0,1449, 1450,5,105,0,0,1450,1451,5,108,0,0,1451,1452,5,97,0,0,1452,1453, 5,116,0,0,1453,1454,5,101,0,0,1454,246,1,0,0,0,1455,1456,5,101,0, 0,1456,1457,5,114,0,0,1457,1458,5,111,0,0,1458,1459,5,100,0,0,1459, 1460,5,101,0,0,1460,248,1,0,0,0,1461,1462,5,109,0,0,1462,1463,5, 111,0,0,1463,1464,5,114,0,0,1464,1465,5,112,0,0,1465,1466,5,104, 0,0,1466,1467,5,95,0,0,1467,1468,5,111,0,0,1468,1469,5,112,0,0,1469, 1470,5,101,0,0,1470,1471,5,110,0,0,1471,250,1,0,0,0,1472,1473,5, 109,0,0,1473,1474,5,111,0,0,1474,1475,5,114,0,0,1475,1476,5,112, 0,0,1476,1477,5,104,0,0,1477,1478,5,95,0,0,1478,1479,5,99,0,0,1479, 1480,5,108,0,0,1480,1481,5,111,0,0,1481,1482,5,115,0,0,1482,1483, 5,101,0,0,1483,252,1,0,0,0,1484,1485,5,114,0,0,1485,1486,5,103,0, 0,1486,1487,5,98,0,0,1487,1488,5,95,0,0,1488,1489,5,116,0,0,1489, 1490,5,111,0,0,1490,1491,5,95,0,0,1491,1492,5,104,0,0,1492,1493, 5,115,0,0,1493,1494,5,118,0,0,1494,254,1,0,0,0,1495,1496,5,104,0, 0,1496,1497,5,115,0,0,1497,1498,5,118,0,0,1498,1499,5,95,0,0,1499, 1500,5,116,0,0,1500,1501,5,111,0,0,1501,1502,5,95,0,0,1502,1503, 5,114,0,0,1503,1504,5,103,0,0,1504,1505,5,98,0,0,1505,256,1,0,0, 0,1506,1507,5,105,0,0,1507,1508,5,110,0,0,1508,1509,5,116,0,0,1509, 1510,5,95,0,0,1510,1511,5,116,0,0,1511,1512,5,111,0,0,1512,1513, 5,95,0,0,1513,1514,5,114,0,0,1514,1515,5,103,0,0,1515,1516,5,98, 0,0,1516,258,1,0,0,0,1517,1518,5,114,0,0,1518,1519,5,103,0,0,1519, 1520,5,98,0,0,1520,1521,5,95,0,0,1521,1522,5,116,0,0,1522,1523,5, 111,0,0,1523,1524,5,95,0,0,1524,1525,5,105,0,0,1525,1526,5,110,0, 0,1526,1527,5,116,0,0,1527,260,1,0,0,0,1528,1529,5,105,0,0,1529, 1530,5,102,0,0,1530,262,1,0,0,0,1531,1532,5,101,0,0,1532,1533,5, 108,0,0,1533,1534,5,115,0,0,1534,1535,5,101,0,0,1535,264,1,0,0,0, 1536,1537,5,119,0,0,1537,1538,5,104,0,0,1538,1539,5,105,0,0,1539, 1540,5,108,0,0,1540,1541,5,101,0,0,1541,266,1,0,0,0,1542,1543,5, 102,0,0,1543,1544,5,111,0,0,1544,1545,5,114,0,0,1545,268,1,0,0,0, 1546,1547,5,105,0,0,1547,1548,5,110,0,0,1548,270,1,0,0,0,1549,1550, 5,98,0,0,1550,1551,5,114,0,0,1551,1552,5,101,0,0,1552,1553,5,97, 0,0,1553,1554,5,107,0,0,1554,272,1,0,0,0,1555,1556,5,99,0,0,1556, 1557,5,111,0,0,1557,1558,5,110,0,0,1558,1559,5,116,0,0,1559,1560, 5,105,0,0,1560,1561,5,110,0,0,1561,1562,5,117,0,0,1562,1563,5,101, 0,0,1563,274,1,0,0,0,1564,1565,5,114,0,0,1565,1566,5,101,0,0,1566, 1567,5,116,0,0,1567,1568,5,117,0,0,1568,1569,5,114,0,0,1569,1570, 5,110,0,0,1570,276,1,0,0,0,1571,1572,5,116,0,0,1572,1573,5,105,0, 0,1573,1574,5,109,0,0,1574,1575,5,101,0,0,1575,1576,5,115,0,0,1576, 1577,5,116,0,0,1577,1578,5,97,0,0,1578,1579,5,109,0,0,1579,1584, 5,112,0,0,1580,1581,5,110,0,0,1581,1582,5,111,0,0,1582,1584,5,119, 0,0,1583,1571,1,0,0,0,1583,1580,1,0,0,0,1584,278,1,0,0,0,1585,1586, 5,115,0,0,1586,1587,5,111,0,0,1587,1588,5,114,0,0,1588,1589,5,116, 0,0,1589,280,1,0,0,0,1590,1591,5,97,0,0,1591,1592,5,114,0,0,1592, 1593,5,103,0,0,1593,1594,5,115,0,0,1594,1595,5,111,0,0,1595,1596, 5,114,0,0,1596,1597,5,116,0,0,1597,282,1,0,0,0,1598,1599,5,97,0, 0,1599,1600,5,114,0,0,1600,1601,5,103,0,0,1601,1602,5,109,0,0,1602, 1603,5,105,0,0,1603,1604,5,110,0,0,1604,284,1,0,0,0,1605,1606,5, 97,0,0,1606,1607,5,114,0,0,1607,1608,5,103,0,0,1608,1609,5,109,0, 0,1609,1610,5,97,0,0,1610,1611,5,120,0,0,1611,286,1,0,0,0,1612,1613, 5,115,0,0,1613,1614,5,111,0,0,1614,1615,5,102,0,0,1615,1616,5,116, 0,0,1616,1617,5,109,0,0,1617,1618,5,97,0,0,1618,1619,5,120,0,0,1619, 288,1,0,0,0,1620,1621,5,115,0,0,1621,1622,5,111,0,0,1622,1623,5, 102,0,0,1623,1624,5,116,0,0,1624,1625,5,109,0,0,1625,1626,5,105, 0,0,1626,1627,5,110,0,0,1627,290,1,0,0,0,1628,1629,5,117,0,0,1629, 1630,5,110,0,0,1630,1631,5,105,0,0,1631,1632,5,113,0,0,1632,1633, 5,117,0,0,1633,1634,5,101,0,0,1634,292,1,0,0,0,1635,1636,5,102,0, 0,1636,1637,5,108,0,0,1637,1638,5,105,0,0,1638,1639,5,112,0,0,1639, 294,1,0,0,0,1640,1641,5,114,0,0,1641,1642,5,111,0,0,1642,1643,5, 108,0,0,1643,1644,5,108,0,0,1644,296,1,0,0,0,1645,1646,5,99,0,0, 1646,1647,5,111,0,0,1647,1648,5,118,0,0,1648,298,1,0,0,0,1649,1650, 5,99,0,0,1650,1651,5,111,0,0,1651,1652,5,114,0,0,1652,1665,5,114, 0,0,1653,1654,5,99,0,0,1654,1655,5,111,0,0,1655,1656,5,114,0,0,1656, 1657,5,114,0,0,1657,1658,5,101,0,0,1658,1659,5,108,0,0,1659,1660, 5,97,0,0,1660,1661,5,116,0,0,1661,1662,5,105,0,0,1662,1663,5,111, 0,0,1663,1665,5,110,0,0,1664,1649,1,0,0,0,1664,1653,1,0,0,0,1665, 300,1,0,0,0,1666,1667,5,101,0,0,1667,1668,5,110,0,0,1668,1669,5, 116,0,0,1669,1670,5,114,0,0,1670,1671,5,111,0,0,1671,1672,5,112, 0,0,1672,1673,5,121,0,0,1673,302,1,0,0,0,1674,1675,5,99,0,0,1675, 1676,5,114,0,0,1676,1677,5,111,0,0,1677,1678,5,112,0,0,1678,304, 1,0,0,0,1679,1680,5,110,0,0,1680,1681,5,111,0,0,1681,1682,5,110, 0,0,1682,1696,5,101,0,0,1683,1684,5,78,0,0,1684,1685,5,111,0,0,1685, 1686,5,110,0,0,1686,1696,5,101,0,0,1687,1688,5,110,0,0,1688,1689, 5,117,0,0,1689,1690,5,108,0,0,1690,1696,5,108,0,0,1691,1692,5,78, 0,0,1692,1693,5,85,0,0,1693,1694,5,76,0,0,1694,1696,5,76,0,0,1695, 1679,1,0,0,0,1695,1683,1,0,0,0,1695,1687,1,0,0,0,1695,1691,1,0,0, 0,1696,306,1,0,0,0,1697,1698,5,110,0,0,1698,1699,5,111,0,0,1699, 1700,5,105,0,0,1700,1701,5,115,0,0,1701,1721,5,101,0,0,1702,1703, 5,114,0,0,1703,1704,5,97,0,0,1704,1705,5,110,0,0,1705,1706,5,100, 0,0,1706,1721,5,110,0,0,1707,1708,5,114,0,0,1708,1709,5,97,0,0,1709, 1710,5,110,0,0,1710,1711,5,100,0,0,1711,1712,5,111,0,0,1712,1713, 5,109,0,0,1713,1714,5,95,0,0,1714,1715,5,110,0,0,1715,1716,5,111, 0,0,1716,1717,5,114,0,0,1717,1718,5,109,0,0,1718,1719,5,97,0,0,1719, 1721,5,108,0,0,1720,1697,1,0,0,0,1720,1702,1,0,0,0,1720,1707,1,0, 0,0,1721,308,1,0,0,0,1722,1723,5,114,0,0,1723,1724,5,97,0,0,1724, 1725,5,110,0,0,1725,1746,5,100,0,0,1726,1727,5,114,0,0,1727,1728, 5,97,0,0,1728,1729,5,110,0,0,1729,1730,5,100,0,0,1730,1746,5,117, 0,0,1731,1732,5,114,0,0,1732,1733,5,97,0,0,1733,1734,5,110,0,0,1734, 1735,5,100,0,0,1735,1736,5,111,0,0,1736,1737,5,109,0,0,1737,1738, 5,95,0,0,1738,1739,5,117,0,0,1739,1740,5,110,0,0,1740,1741,5,105, 0,0,1741,1742,5,102,0,0,1742,1743,5,111,0,0,1743,1744,5,114,0,0, 1744,1746,5,109,0,0,1745,1722,1,0,0,0,1745,1726,1,0,0,0,1745,1731, 1,0,0,0,1746,310,1,0,0,0,1747,1748,5,114,0,0,1748,1749,5,97,0,0, 1749,1750,5,110,0,0,1750,1751,5,100,0,0,1751,1766,5,99,0,0,1752, 1753,5,114,0,0,1753,1754,5,97,0,0,1754,1755,5,110,0,0,1755,1756, 5,100,0,0,1756,1757,5,111,0,0,1757,1758,5,109,0,0,1758,1759,5,95, 0,0,1759,1760,5,99,0,0,1760,1761,5,97,0,0,1761,1762,5,117,0,0,1762, 1763,5,99,0,0,1763,1764,5,104,0,0,1764,1766,5,121,0,0,1765,1747, 1,0,0,0,1765,1752,1,0,0,0,1766,312,1,0,0,0,1767,1768,5,114,0,0,1768, 1769,5,97,0,0,1769,1770,5,110,0,0,1770,1771,5,100,0,0,1771,1791, 5,101,0,0,1772,1773,5,114,0,0,1773,1774,5,97,0,0,1774,1775,5,110, 0,0,1775,1776,5,100,0,0,1776,1777,5,111,0,0,1777,1778,5,109,0,0, 1778,1779,5,95,0,0,1779,1780,5,101,0,0,1780,1781,5,120,0,0,1781, 1782,5,112,0,0,1782,1783,5,111,0,0,1783,1784,5,110,0,0,1784,1785, 5,101,0,0,1785,1786,5,110,0,0,1786,1787,5,116,0,0,1787,1788,5,105, 0,0,1788,1789,5,97,0,0,1789,1791,5,108,0,0,1790,1767,1,0,0,0,1790, 1772,1,0,0,0,1791,314,1,0,0,0,1792,1793,5,114,0,0,1793,1794,5,97, 0,0,1794,1795,5,110,0,0,1795,1796,5,100,0,0,1796,1797,5,108,0,0, 1797,1816,5,110,0,0,1798,1799,5,114,0,0,1799,1800,5,97,0,0,1800, 1801,5,110,0,0,1801,1802,5,100,0,0,1802,1803,5,111,0,0,1803,1804, 5,109,0,0,1804,1805,5,95,0,0,1805,1806,5,108,0,0,1806,1807,5,111, 0,0,1807,1808,5,103,0,0,1808,1809,5,95,0,0,1809,1810,5,110,0,0,1810, 1811,5,111,0,0,1811,1812,5,114,0,0,1812,1813,5,109,0,0,1813,1814, 5,97,0,0,1814,1816,5,108,0,0,1815,1792,1,0,0,0,1815,1798,1,0,0,0, 1816,316,1,0,0,0,1817,1818,5,114,0,0,1818,1819,5,97,0,0,1819,1820, 5,110,0,0,1820,1821,5,100,0,0,1821,1839,5,98,0,0,1822,1823,5,114, 0,0,1823,1824,5,97,0,0,1824,1825,5,110,0,0,1825,1826,5,100,0,0,1826, 1827,5,111,0,0,1827,1828,5,109,0,0,1828,1829,5,95,0,0,1829,1830, 5,98,0,0,1830,1831,5,101,0,0,1831,1832,5,114,0,0,1832,1833,5,110, 0,0,1833,1834,5,111,0,0,1834,1835,5,117,0,0,1835,1836,5,108,0,0, 1836,1837,5,108,0,0,1837,1839,5,105,0,0,1838,1817,1,0,0,0,1838,1822, 1,0,0,0,1839,318,1,0,0,0,1840,1841,5,114,0,0,1841,1842,5,97,0,0, 1842,1843,5,110,0,0,1843,1844,5,100,0,0,1844,1860,5,112,0,0,1845, 1846,5,114,0,0,1846,1847,5,97,0,0,1847,1848,5,110,0,0,1848,1849, 5,100,0,0,1849,1850,5,111,0,0,1850,1851,5,109,0,0,1851,1852,5,95, 0,0,1852,1853,5,112,0,0,1853,1854,5,111,0,0,1854,1855,5,105,0,0, 1855,1856,5,115,0,0,1856,1857,5,115,0,0,1857,1858,5,111,0,0,1858, 1860,5,110,0,0,1859,1840,1,0,0,0,1859,1845,1,0,0,0,1860,320,1,0, 0,0,1861,1862,5,114,0,0,1862,1863,5,97,0,0,1863,1864,5,110,0,0,1864, 1865,5,100,0,0,1865,1879,5,103,0,0,1866,1867,5,114,0,0,1867,1868, 5,97,0,0,1868,1869,5,110,0,0,1869,1870,5,100,0,0,1870,1871,5,111, 0,0,1871,1872,5,109,0,0,1872,1873,5,95,0,0,1873,1874,5,103,0,0,1874, 1875,5,97,0,0,1875,1876,5,109,0,0,1876,1877,5,109,0,0,1877,1879, 5,97,0,0,1878,1861,1,0,0,0,1878,1866,1,0,0,0,1879,322,1,0,0,0,1880, 1881,5,114,0,0,1881,1882,5,97,0,0,1882,1883,5,110,0,0,1883,1884, 5,100,0,0,1884,1885,5,98,0,0,1885,1886,5,101,0,0,1886,1887,5,116, 0,0,1887,1900,5,97,0,0,1888,1889,5,114,0,0,1889,1890,5,97,0,0,1890, 1891,5,110,0,0,1891,1892,5,100,0,0,1892,1893,5,111,0,0,1893,1894, 5,109,0,0,1894,1895,5,95,0,0,1895,1896,5,98,0,0,1896,1897,5,101, 0,0,1897,1898,5,116,0,0,1898,1900,5,97,0,0,1899,1880,1,0,0,0,1899, 1888,1,0,0,0,1900,324,1,0,0,0,1901,1902,5,114,0,0,1902,1903,5,97, 0,0,1903,1904,5,110,0,0,1904,1905,5,100,0,0,1905,1921,5,108,0,0, 1906,1907,5,114,0,0,1907,1908,5,97,0,0,1908,1909,5,110,0,0,1909, 1910,5,100,0,0,1910,1911,5,111,0,0,1911,1912,5,109,0,0,1912,1913, 5,95,0,0,1913,1914,5,108,0,0,1914,1915,5,97,0,0,1915,1916,5,112, 0,0,1916,1917,5,108,0,0,1917,1918,5,97,0,0,1918,1919,5,99,0,0,1919, 1921,5,101,0,0,1920,1901,1,0,0,0,1920,1906,1,0,0,0,1921,326,1,0, 0,0,1922,1923,5,114,0,0,1923,1924,5,97,0,0,1924,1925,5,110,0,0,1925, 1926,5,100,0,0,1926,1927,5,103,0,0,1927,1928,5,117,0,0,1928,1929, 5,109,0,0,1929,1930,5,98,0,0,1930,1931,5,101,0,0,1931,1946,5,108, 0,0,1932,1933,5,114,0,0,1933,1934,5,97,0,0,1934,1935,5,110,0,0,1935, 1936,5,100,0,0,1936,1937,5,111,0,0,1937,1938,5,109,0,0,1938,1939, 5,95,0,0,1939,1940,5,103,0,0,1940,1941,5,117,0,0,1941,1942,5,109, 0,0,1942,1943,5,98,0,0,1943,1944,5,101,0,0,1944,1946,5,108,0,0,1945, 1922,1,0,0,0,1945,1932,1,0,0,0,1946,328,1,0,0,0,1947,1948,5,114, 0,0,1948,1949,5,97,0,0,1949,1950,5,110,0,0,1950,1951,5,100,0,0,1951, 1967,5,119,0,0,1952,1953,5,114,0,0,1953,1954,5,97,0,0,1954,1955, 5,110,0,0,1955,1956,5,100,0,0,1956,1957,5,111,0,0,1957,1958,5,109, 0,0,1958,1959,5,95,0,0,1959,1960,5,119,0,0,1960,1961,5,101,0,0,1961, 1962,5,105,0,0,1962,1963,5,98,0,0,1963,1964,5,117,0,0,1964,1965, 5,108,0,0,1965,1967,5,108,0,0,1966,1947,1,0,0,0,1966,1952,1,0,0, 0,1967,330,1,0,0,0,1968,1969,5,114,0,0,1969,1970,5,97,0,0,1970,1971, 5,110,0,0,1971,1972,5,100,0,0,1972,1973,5,99,0,0,1973,1974,5,104, 0,0,1974,1975,5,105,0,0,1975,1988,5,50,0,0,1976,1977,5,114,0,0,1977, 1978,5,97,0,0,1978,1979,5,110,0,0,1979,1980,5,100,0,0,1980,1981, 5,111,0,0,1981,1982,5,109,0,0,1982,1983,5,95,0,0,1983,1984,5,99, 0,0,1984,1985,5,104,0,0,1985,1986,5,105,0,0,1986,1988,5,50,0,0,1987, 1968,1,0,0,0,1987,1976,1,0,0,0,1988,332,1,0,0,0,1989,1990,5,114, 0,0,1990,1991,5,97,0,0,1991,1992,5,110,0,0,1992,1993,5,100,0,0,1993, 2010,5,116,0,0,1994,1995,5,114,0,0,1995,1996,5,97,0,0,1996,1997, 5,110,0,0,1997,1998,5,100,0,0,1998,1999,5,111,0,0,1999,2000,5,109, 0,0,2000,2001,5,95,0,0,2001,2002,5,115,0,0,2002,2003,5,116,0,0,2003, 2004,5,117,0,0,2004,2005,5,100,0,0,2005,2006,5,101,0,0,2006,2007, 5,110,0,0,2007,2008,5,116,0,0,2008,2010,5,116,0,0,2009,1989,1,0, 0,0,2009,1994,1,0,0,0,2010,334,1,0,0,0,2011,2012,5,112,0,0,2012, 2013,5,101,0,0,2013,2014,5,114,0,0,2014,2015,5,108,0,0,2015,2016, 5,105,0,0,2016,2030,5,110,0,0,2017,2018,5,112,0,0,2018,2019,5,101, 0,0,2019,2020,5,114,0,0,2020,2021,5,108,0,0,2021,2022,5,105,0,0, 2022,2023,5,110,0,0,2023,2024,5,95,0,0,2024,2025,5,110,0,0,2025, 2026,5,111,0,0,2026,2027,5,105,0,0,2027,2028,5,115,0,0,2028,2030, 5,101,0,0,2029,2011,1,0,0,0,2029,2017,1,0,0,0,2030,336,1,0,0,0,2031, 2032,5,99,0,0,2032,2033,5,101,0,0,2033,2034,5,108,0,0,2034,2035, 5,108,0,0,2035,2036,5,117,0,0,2036,2037,5,108,0,0,2037,2038,5,97, 0,0,2038,2080,5,114,0,0,2039,2040,5,118,0,0,2040,2041,5,111,0,0, 2041,2042,5,114,0,0,2042,2043,5,111,0,0,2043,2044,5,110,0,0,2044, 2045,5,111,0,0,2045,2080,5,105,0,0,2046,2047,5,119,0,0,2047,2048, 5,111,0,0,2048,2049,5,114,0,0,2049,2050,5,108,0,0,2050,2051,5,101, 0,0,2051,2080,5,121,0,0,2052,2053,5,99,0,0,2053,2054,5,101,0,0,2054, 2055,5,108,0,0,2055,2056,5,108,0,0,2056,2057,5,117,0,0,2057,2058, 5,108,0,0,2058,2059,5,97,0,0,2059,2060,5,114,0,0,2060,2061,5,95, 0,0,2061,2062,5,110,0,0,2062,2063,5,111,0,0,2063,2064,5,105,0,0, 2064,2065,5,115,0,0,2065,2080,5,101,0,0,2066,2067,5,118,0,0,2067, 2068,5,111,0,0,2068,2069,5,114,0,0,2069,2070,5,111,0,0,2070,2071, 5,110,0,0,2071,2072,5,111,0,0,2072,2073,5,105,0,0,2073,2074,5,95, 0,0,2074,2075,5,110,0,0,2075,2076,5,111,0,0,2076,2077,5,105,0,0, 2077,2078,5,115,0,0,2078,2080,5,101,0,0,2079,2031,1,0,0,0,2079,2039, 1,0,0,0,2079,2046,1,0,0,0,2079,2052,1,0,0,0,2079,2066,1,0,0,0,2080, 338,1,0,0,0,2081,2082,5,112,0,0,2082,2083,5,108,0,0,2083,2084,5, 97,0,0,2084,2085,5,115,0,0,2085,2086,5,109,0,0,2086,2110,5,97,0, 0,2087,2088,5,116,0,0,2088,2089,5,117,0,0,2089,2090,5,114,0,0,2090, 2091,5,98,0,0,2091,2092,5,117,0,0,2092,2093,5,108,0,0,2093,2094, 5,101,0,0,2094,2095,5,110,0,0,2095,2096,5,99,0,0,2096,2110,5,101, 0,0,2097,2098,5,112,0,0,2098,2099,5,108,0,0,2099,2100,5,97,0,0,2100, 2101,5,115,0,0,2101,2102,5,109,0,0,2102,2103,5,97,0,0,2103,2104, 5,95,0,0,2104,2105,5,110,0,0,2105,2106,5,111,0,0,2106,2107,5,105, 0,0,2107,2108,5,115,0,0,2108,2110,5,101,0,0,2109,2081,1,0,0,0,2109, 2087,1,0,0,0,2109,2097,1,0,0,0,2110,340,1,0,0,0,2111,2112,5,43,0, 0,2112,342,1,0,0,0,2113,2114,5,45,0,0,2114,344,1,0,0,0,2115,2116, 5,42,0,0,2116,346,1,0,0,0,2117,2118,5,47,0,0,2118,348,1,0,0,0,2119, 2120,5,37,0,0,2120,350,1,0,0,0,2121,2122,5,94,0,0,2122,352,1,0,0, 0,2123,2124,5,60,0,0,2124,2125,5,60,0,0,2125,354,1,0,0,0,2126,2127, 5,62,0,0,2127,2128,5,62,0,0,2128,356,1,0,0,0,2129,2130,5,62,0,0, 2130,2131,5,61,0,0,2131,358,1,0,0,0,2132,2133,5,62,0,0,2133,360, 1,0,0,0,2134,2135,5,60,0,0,2135,2136,5,61,0,0,2136,362,1,0,0,0,2137, 2138,5,60,0,0,2138,364,1,0,0,0,2139,2140,5,61,0,0,2140,2141,5,61, 0,0,2141,366,1,0,0,0,2142,2143,5,61,0,0,2143,368,1,0,0,0,2144,2145, 5,33,0,0,2145,2146,5,61,0,0,2146,370,1,0,0,0,2147,2148,5,124,0,0, 2148,372,1,0,0,0,2149,2150,5,40,0,0,2150,374,1,0,0,0,2151,2152,5, 41,0,0,2152,376,1,0,0,0,2153,2154,5,44,0,0,2154,378,1,0,0,0,2155, 2156,5,59,0,0,2156,380,1,0,0,0,2157,2158,5,45,0,0,2158,2159,5,62, 0,0,2159,382,1,0,0,0,2160,2161,5,91,0,0,2161,384,1,0,0,0,2162,2163, 5,93,0,0,2163,386,1,0,0,0,2164,2165,5,63,0,0,2165,388,1,0,0,0,2166, 2167,5,58,0,0,2167,390,1,0,0,0,2168,2169,5,123,0,0,2169,392,1,0, 0,0,2170,2171,5,125,0,0,2171,394,1,0,0,0,2172,2174,7,0,0,0,2173, 2172,1,0,0,0,2174,2175,1,0,0,0,2175,2173,1,0,0,0,2175,2176,1,0,0, 0,2176,2184,1,0,0,0,2177,2181,5,46,0,0,2178,2180,7,0,0,0,2179,2178, 1,0,0,0,2180,2183,1,0,0,0,2181,2179,1,0,0,0,2181,2182,1,0,0,0,2182, 2185,1,0,0,0,2183,2181,1,0,0,0,2184,2177,1,0,0,0,2184,2185,1,0,0, 0,2185,2193,1,0,0,0,2186,2188,5,46,0,0,2187,2189,7,0,0,0,2188,2187, 1,0,0,0,2189,2190,1,0,0,0,2190,2188,1,0,0,0,2190,2191,1,0,0,0,2191, 2193,1,0,0,0,2192,2173,1,0,0,0,2192,2186,1,0,0,0,2193,2203,1,0,0, 0,2194,2196,7,1,0,0,2195,2197,7,2,0,0,2196,2195,1,0,0,0,2196,2197, 1,0,0,0,2197,2199,1,0,0,0,2198,2200,7,0,0,0,2199,2198,1,0,0,0,2200, 2201,1,0,0,0,2201,2199,1,0,0,0,2201,2202,1,0,0,0,2202,2204,1,0,0, 0,2203,2194,1,0,0,0,2203,2204,1,0,0,0,2204,396,1,0,0,0,2205,2206, 5,112,0,0,2206,2211,5,105,0,0,2207,2208,5,80,0,0,2208,2211,5,73, 0,0,2209,2211,7,1,0,0,2210,2205,1,0,0,0,2210,2207,1,0,0,0,2210,2209, 1,0,0,0,2211,398,1,0,0,0,2212,2218,5,34,0,0,2213,2217,8,3,0,0,2214, 2215,5,92,0,0,2215,2217,9,0,0,0,2216,2213,1,0,0,0,2216,2214,1,0, 0,0,2217,2220,1,0,0,0,2218,2216,1,0,0,0,2218,2219,1,0,0,0,2219,2221, 1,0,0,0,2220,2218,1,0,0,0,2221,2233,5,34,0,0,2222,2228,5,39,0,0, 2223,2227,8,4,0,0,2224,2225,5,92,0,0,2225,2227,9,0,0,0,2226,2223, 1,0,0,0,2226,2224,1,0,0,0,2227,2230,1,0,0,0,2228,2226,1,0,0,0,2228, 2229,1,0,0,0,2229,2231,1,0,0,0,2230,2228,1,0,0,0,2231,2233,5,39, 0,0,2232,2212,1,0,0,0,2232,2222,1,0,0,0,2233,400,1,0,0,0,2234,2238, 7,5,0,0,2235,2237,7,6,0,0,2236,2235,1,0,0,0,2237,2240,1,0,0,0,2238, 2236,1,0,0,0,2238,2239,1,0,0,0,2239,402,1,0,0,0,2240,2238,1,0,0, 0,2241,2245,5,35,0,0,2242,2244,8,7,0,0,2243,2242,1,0,0,0,2244,2247, 1,0,0,0,2245,2243,1,0,0,0,2245,2246,1,0,0,0,2246,2248,1,0,0,0,2247, 2245,1,0,0,0,2248,2249,6,201,0,0,2249,404,1,0,0,0,2250,2251,5,47, 0,0,2251,2252,5,42,0,0,2252,2256,1,0,0,0,2253,2255,9,0,0,0,2254, 2253,1,0,0,0,2255,2258,1,0,0,0,2256,2257,1,0,0,0,2256,2254,1,0,0, 0,2257,2259,1,0,0,0,2258,2256,1,0,0,0,2259,2260,5,42,0,0,2260,2261, 5,47,0,0,2261,2262,1,0,0,0,2262,2263,6,202,0,0,2263,406,1,0,0,0, 2264,2266,7,8,0,0,2265,2264,1,0,0,0,2266,2267,1,0,0,0,2267,2265, 1,0,0,0,2267,2268,1,0,0,0,2268,2269,1,0,0,0,2269,2270,6,203,0,0, 2270,408,1,0,0,0,63,0,601,616,692,709,727,740,813,830,888,937,959, 976,997,1012,1039,1070,1086,1144,1217,1241,1264,1281,1296,1378,1583, 1664,1695,1720,1745,1765,1790,1815,1838,1859,1878,1899,1920,1945, 1966,1987,2009,2029,2079,2109,2175,2181,2184,2190,2192,2196,2201, 2203,2210,2216,2218,2226,2228,2232,2238,2245,2256,2267,1,6,0,0 ] 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 FLATTEN = 87 APPEND = 88 GET_VALUE = 89 FLOW_APPLY = 90 BATCH_SHUFFLE = 91 MOTION_MASK = 92 FLOW_TO_IMAGE = 93 OVERLAY = 94 PAD = 95 CROSS = 96 MATMUL = 97 RIFE = 98 BNOT = 99 BITCOUNT = 100 SHAPE = 101 BAND = 102 XOR = 103 BOR = 104 TENSOR = 105 PUSH = 106 POP = 107 CLEAR = 108 HAS = 109 GET = 110 CONCAT = 111 INT = 112 FLOAT = 113 UPPER = 114 LOWER = 115 TRIM = 116 SPLIT = 117 JOIN = 118 SUBSTRING = 119 SUBSTR = 120 FIND = 121 REPLACE = 122 DILATE = 123 ERODE = 124 MORPH_OPEN = 125 MORPH_CLOSE = 126 RGB_TO_HSV = 127 HSV_TO_RGB = 128 INT_TO_RGB = 129 RGB_TO_INT = 130 IF = 131 ELSE = 132 WHILE = 133 FOR = 134 IN = 135 BREAK = 136 CONTINUE = 137 RETURN = 138 TIMESTAMP = 139 SORT = 140 ARGSORT = 141 ARGMIN = 142 ARGMAX = 143 SOFTMAX = 144 SOFTMIN = 145 UNIQUE = 146 FLIP = 147 ROLL = 148 COV = 149 CORR = 150 ENTROPY = 151 CROP = 152 NONE = 153 NOISE = 154 RAND = 155 CAUCHY = 156 EXPONENTIAL = 157 LOGNORMAL = 158 BERNOULLI = 159 POISSON = 160 GAMMADIST = 161 BETADIST = 162 LAPLACEDIST = 163 GUMBELDIST = 164 WEIBULLDIST = 165 CHI2DIST = 166 STUDENTTDIST = 167 PERLIN = 168 CELLULAR = 169 PLASMA = 170 PLUS = 171 MINUS = 172 MULT = 173 DIV = 174 MOD = 175 POW = 176 LSHIFT = 177 RSHIFT = 178 GE = 179 GT = 180 LE = 181 LT = 182 EQ = 183 EQUEALS = 184 NE = 185 PIPE = 186 LPAREN = 187 RPAREN = 188 COMMA = 189 SEMICOLON = 190 ARROW = 191 LBRACKET = 192 RBRACKET = 193 QUESTION = 194 COLON = 195 LBRACE = 196 RBRACE = 197 NUMBER = 198 CONSTANT = 199 STRING = 200 VARIABLE = 201 SL_COMMENT = 202 ML_COMMENT = 203 WS = 204 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'", "'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'", "'sort'", "'argsort'", "'argmin'", "'argmax'", "'softmax'", "'softmin'", "'unique'", "'flip'", "'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", "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", "ROLL", "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", "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", "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", "ROLL", "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