# 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 [ 4,0,234,2790,6,-1,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7, 5,2,6,7,6,2,7,7,7,2,8,7,8,2,9,7,9,2,10,7,10,2,11,7,11,2,12,7,12, 2,13,7,13,2,14,7,14,2,15,7,15,2,16,7,16,2,17,7,17,2,18,7,18,2,19, 7,19,2,20,7,20,2,21,7,21,2,22,7,22,2,23,7,23,2,24,7,24,2,25,7,25, 2,26,7,26,2,27,7,27,2,28,7,28,2,29,7,29,2,30,7,30,2,31,7,31,2,32, 7,32,2,33,7,33,2,34,7,34,2,35,7,35,2,36,7,36,2,37,7,37,2,38,7,38, 2,39,7,39,2,40,7,40,2,41,7,41,2,42,7,42,2,43,7,43,2,44,7,44,2,45, 7,45,2,46,7,46,2,47,7,47,2,48,7,48,2,49,7,49,2,50,7,50,2,51,7,51, 2,52,7,52,2,53,7,53,2,54,7,54,2,55,7,55,2,56,7,56,2,57,7,57,2,58, 7,58,2,59,7,59,2,60,7,60,2,61,7,61,2,62,7,62,2,63,7,63,2,64,7,64, 2,65,7,65,2,66,7,66,2,67,7,67,2,68,7,68,2,69,7,69,2,70,7,70,2,71, 7,71,2,72,7,72,2,73,7,73,2,74,7,74,2,75,7,75,2,76,7,76,2,77,7,77, 2,78,7,78,2,79,7,79,2,80,7,80,2,81,7,81,2,82,7,82,2,83,7,83,2,84, 7,84,2,85,7,85,2,86,7,86,2,87,7,87,2,88,7,88,2,89,7,89,2,90,7,90, 2,91,7,91,2,92,7,92,2,93,7,93,2,94,7,94,2,95,7,95,2,96,7,96,2,97, 7,97,2,98,7,98,2,99,7,99,2,100,7,100,2,101,7,101,2,102,7,102,2,103, 7,103,2,104,7,104,2,105,7,105,2,106,7,106,2,107,7,107,2,108,7,108, 2,109,7,109,2,110,7,110,2,111,7,111,2,112,7,112,2,113,7,113,2,114, 7,114,2,115,7,115,2,116,7,116,2,117,7,117,2,118,7,118,2,119,7,119, 2,120,7,120,2,121,7,121,2,122,7,122,2,123,7,123,2,124,7,124,2,125, 7,125,2,126,7,126,2,127,7,127,2,128,7,128,2,129,7,129,2,130,7,130, 2,131,7,131,2,132,7,132,2,133,7,133,2,134,7,134,2,135,7,135,2,136, 7,136,2,137,7,137,2,138,7,138,2,139,7,139,2,140,7,140,2,141,7,141, 2,142,7,142,2,143,7,143,2,144,7,144,2,145,7,145,2,146,7,146,2,147, 7,147,2,148,7,148,2,149,7,149,2,150,7,150,2,151,7,151,2,152,7,152, 2,153,7,153,2,154,7,154,2,155,7,155,2,156,7,156,2,157,7,157,2,158, 7,158,2,159,7,159,2,160,7,160,2,161,7,161,2,162,7,162,2,163,7,163, 2,164,7,164,2,165,7,165,2,166,7,166,2,167,7,167,2,168,7,168,2,169, 7,169,2,170,7,170,2,171,7,171,2,172,7,172,2,173,7,173,2,174,7,174, 2,175,7,175,2,176,7,176,2,177,7,177,2,178,7,178,2,179,7,179,2,180, 7,180,2,181,7,181,2,182,7,182,2,183,7,183,2,184,7,184,2,185,7,185, 2,186,7,186,2,187,7,187,2,188,7,188,2,189,7,189,2,190,7,190,2,191, 7,191,2,192,7,192,2,193,7,193,2,194,7,194,2,195,7,195,2,196,7,196, 2,197,7,197,2,198,7,198,2,199,7,199,2,200,7,200,2,201,7,201,2,202, 7,202,2,203,7,203,2,204,7,204,2,205,7,205,2,206,7,206,2,207,7,207, 2,208,7,208,2,209,7,209,2,210,7,210,2,211,7,211,2,212,7,212,2,213, 7,213,2,214,7,214,2,215,7,215,2,216,7,216,2,217,7,217,2,218,7,218, 2,219,7,219,2,220,7,220,2,221,7,221,2,222,7,222,2,223,7,223,2,224, 7,224,2,225,7,225,2,226,7,226,2,227,7,227,2,228,7,228,2,229,7,229, 2,230,7,230,2,231,7,231,2,232,7,232,2,233,7,233,1,0,1,0,1,0,1,0, 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, 35,1,35,1,35,1,35,1,35,1,35,1,35,1,35,1,35,1,35,1,35,3,35,662,8, 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, 36,3,36,677,8,36,1,37,1,37,1,37,1,37,1,37,1,38,1,38,1,38,1,38,1, 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, 46,753,8,46,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1, 47,1,47,1,47,1,47,1,47,3,47,770,8,47,1,48,1,48,1,48,1,48,1,48,1, 49,1,49,1,49,1,49,1,49,1,49,1,49,1,49,1,49,1,49,1,49,3,49,788,8, 49,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,3,50,801, 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, 1,61,1,61,1,61,1,61,1,61,1,61,1,61,3,61,874,8,61,1,62,1,62,1,62, 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, 891,8,62,1,63,1,63,1,63,1,63,1,63,1,63,1,63,1,63,1,63,1,64,1,64, 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, 1,71,1,71,1,71,1,71,1,71,1,71,3,71,949,8,71,1,72,1,72,1,72,1,72, 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, 1,76,1,76,1,76,1,76,3,76,998,8,76,1,77,1,77,1,77,1,77,1,77,1,77, 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, 1,77,3,77,1020,8,77,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78, 1,78,1,78,1,78,1,78,1,78,1,78,3,78,1037,8,78,1,79,1,79,1,79,1,79, 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, 1,79,1,79,3,79,1058,8,79,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80, 1,80,1,80,1,80,1,80,1,80,3,80,1073,8,80,1,81,1,81,1,81,1,81,1,81, 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, 1,82,1,82,1,82,1,82,1,82,1,82,1,82,3,82,1100,8,82,1,83,1,83,1,83, 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, 3,84,1131,8,84,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85, 1,85,1,85,1,85,1,85,3,85,1147,8,85,1,86,1,86,1,86,1,86,1,86,1,87, 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, 1,88,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,90,1,90,1,90,1,90,1,90, 1,90,1,90,1,90,1,90,1,90,1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,91, 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, 1,92,1,92,1,92,1,92,1,92,1,92,1,92,1,92,1,92,1,92,1,92,1,92,1,92, 1,92,1,92,1,92,3,92,1223,8,92,1,93,1,93,1,93,1,93,1,93,1,93,1,93, 1,93,1,93,1,93,1,93,1,93,1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94, 1,94,1,94,1,94,1,94,1,94,1,94,1,95,1,95,1,95,1,95,1,95,1,95,1,95, 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, 1,95,1,95,3,95,1273,8,95,1,96,1,96,1,96,1,96,1,96,1,96,1,96,1,96, 1,96,1,96,1,96,1,96,1,96,1,96,1,96,1,96,1,96,1,96,3,96,1293,8,96, 1,97,1,97,1,97,1,97,1,97,1,97,1,98,1,98,1,98,1,98,1,98,1,98,1,98, 1,98,1,98,1,98,1,98,1,98,1,98,3,98,1314,8,98,1,99,1,99,1,99,1,99, 1,99,1,99,1,99,1,99,1,100,1,100,1,100,1,100,1,101,1,101,1,101,1, 101,1,101,1,101,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,103, 1,103,1,103,1,103,1,103,1,104,1,104,1,104,1,104,1,104,1,104,1,104, 1,104,1,104,1,104,1,104,1,104,1,104,1,104,1,104,3,104,1361,8,104, 1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105, 1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105, 3,105,1385,8,105,1,106,1,106,1,106,1,106,1,106,1,106,1,107,1,107, 1,107,1,107,1,107,1,107,1,107,1,107,1,107,1,107,1,107,1,107,1,107, 1,107,1,107,3,107,1408,8,107,1,108,1,108,1,108,1,108,1,108,1,108, 1,108,1,108,1,108,1,108,1,108,1,108,1,108,1,108,1,108,3,108,1425, 8,108,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109, 1,109,1,109,1,109,3,109,1440,8,109,1,110,1,110,1,110,1,110,1,110, 1,110,1,110,1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,112, 1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112, 1,112,1,112,1,112,1,112,3,112,1473,8,112,1,113,1,113,1,113,1,113, 1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,114,1,114,1,114,1,114, 1,114,1,114,1,114,1,114,1,114,1,114,1,115,1,115,1,115,1,115,1,115, 1,115,1,115,1,115,1,115,1,115,1,115,1,115,1,116,1,116,1,116,1,116, 1,116,1,116,1,116,1,116,1,116,1,116,1,117,1,117,1,117,1,117,1,117, 1,117,1,117,1,117,1,117,1,117,1,118,1,118,1,118,1,118,1,118,1,118, 1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118, 1,118,1,118,1,118,3,118,1548,8,118,1,119,1,119,1,119,1,119,1,120, 1,120,1,120,1,120,1,120,1,120,1,121,1,121,1,121,1,121,1,121,1,121, 1,122,1,122,1,122,1,122,1,122,1,122,1,123,1,123,1,123,1,123,1,123, 1,124,1,124,1,124,1,124,1,124,1,124,1,125,1,125,1,125,1,125,1,125, 1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126, 1,126,1,126,1,126,1,126,3,126,1603,8,126,1,127,1,127,1,127,1,127, 1,127,1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,129,1,129, 1,129,1,129,1,129,1,129,1,129,1,130,1,130,1,130,1,130,1,130,1,130, 1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131, 1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132, 1,132,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133, 1,133,1,133,1,133,1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134, 1,134,1,134,1,134,1,134,1,134,1,134,1,135,1,135,1,135,1,135,1,135, 1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,136,1,136,1,136, 1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,136, 1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137, 1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138, 1,139,1,139,1,139,1,139,1,139,1,139,1,139,1,139,1,139,1,139,1,139, 1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140, 1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141, 1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,142,1,142,1,142, 1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,142, 1,142,1,142,1,142,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143, 1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143, 1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143, 1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143, 1,143,1,143,1,143,3,143,1832,8,143,1,144,1,144,1,144,1,144,1,144, 1,144,1,144,1,144,1,144,1,144,1,144,1,145,1,145,1,145,1,145,1,145, 1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145, 1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,3,145,1870, 8,145,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146, 1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146, 1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146,3,146, 1903,8,146,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147, 1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,3,147, 1924,8,147,1,148,1,148,1,148,1,149,1,149,1,149,1,149,1,149,1,150, 1,150,1,150,1,150,1,150,1,150,1,151,1,151,1,151,1,151,1,152,1,152, 1,152,1,153,1,153,1,153,1,153,1,153,1,153,1,154,1,154,1,154,1,154, 1,154,1,154,1,154,1,154,1,154,1,155,1,155,1,155,1,155,1,155,1,155, 1,155,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156, 1,156,1,156,3,156,1981,8,156,1,157,1,157,1,157,1,157,1,157,1,158, 1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,159,1,159,1,159,1,159, 1,159,1,159,1,159,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,161, 1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,162,1,162,1,162,1,162, 1,162,1,162,1,162,1,162,1,163,1,163,1,163,1,163,1,163,1,163,1,163, 1,164,1,164,1,164,1,164,1,164,1,165,1,165,1,165,1,165,1,165,1,165, 1,165,1,165,1,165,1,165,1,165,1,166,1,166,1,166,1,166,1,166,1,166, 1,166,1,166,1,166,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167, 1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,169, 1,169,1,169,1,169,1,169,1,170,1,170,1,170,1,170,1,171,1,171,1,171, 1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171, 1,171,3,171,2100,8,171,1,172,1,172,1,172,1,172,1,172,1,172,1,172, 1,172,1,173,1,173,1,173,1,173,1,173,1,174,1,174,1,174,1,174,1,174, 1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174, 3,174,2131,8,174,1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175, 1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175,3,175,2150, 8,175,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176, 1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176, 1,176,1,176,3,176,2175,8,176,1,177,1,177,1,177,1,177,1,177,1,177, 1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177, 1,177,1,177,1,177,1,177,1,177,1,177,3,177,2200,8,177,1,178,1,178, 1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178, 1,178,1,178,1,178,1,178,1,178,3,178,2220,8,178,1,179,1,179,1,179, 1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179, 1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,3,179,2245, 8,179,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180, 1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180, 1,180,1,180,3,180,2270,8,180,1,181,1,181,1,181,1,181,1,181,1,181, 1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181, 1,181,1,181,1,181,1,181,3,181,2293,8,181,1,182,1,182,1,182,1,182, 1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182, 1,182,1,182,1,182,1,182,3,182,2314,8,182,1,183,1,183,1,183,1,183, 1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183, 1,183,1,183,3,183,2333,8,183,1,184,1,184,1,184,1,184,1,184,1,184, 1,184,1,184,1,184,1,184,1,184,1,184,1,184,1,184,1,184,1,184,1,184, 1,184,1,184,3,184,2354,8,184,1,185,1,185,1,185,1,185,1,185,1,185, 1,185,1,185,1,185,1,185,1,185,1,185,1,185,1,185,1,185,1,185,1,185, 1,185,1,185,3,185,2375,8,185,1,186,1,186,1,186,1,186,1,186,1,186, 1,186,1,186,1,186,1,186,1,186,1,186,1,186,1,186,1,186,1,186,1,186, 1,186,1,186,1,186,1,186,1,186,1,186,3,186,2400,8,186,1,187,1,187, 1,187,1,187,1,187,1,187,1,187,1,187,1,187,1,187,1,187,1,187,1,187, 1,187,1,187,1,187,1,187,1,187,1,187,3,187,2421,8,187,1,188,1,188, 1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188, 1,188,1,188,1,188,1,188,1,188,1,188,3,188,2442,8,188,1,189,1,189, 1,189,1,189,1,189,1,189,1,189,1,189,1,189,1,189,1,189,1,189,1,189, 1,189,1,189,1,189,1,189,1,189,1,189,1,189,3,189,2464,8,189,1,190, 1,190,1,190,1,190,1,190,1,190,1,190,1,190,1,190,1,190,1,190,1,190, 1,190,1,190,1,190,1,190,1,190,1,190,3,190,2484,8,190,1,191,1,191, 1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191, 1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191, 1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191, 1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191, 1,191,1,191,3,191,2534,8,191,1,192,1,192,1,192,1,192,1,192,1,192, 1,192,1,192,1,192,1,192,1,192,1,192,1,192,1,192,1,192,1,192,1,192, 1,192,1,192,1,192,1,192,1,192,1,192,1,192,1,192,1,192,1,192,1,192, 3,192,2564,8,192,1,193,1,193,1,193,1,193,1,193,1,193,1,193,1,193, 1,193,1,193,1,193,1,193,1,193,1,193,1,193,1,193,1,193,1,193,3,193, 2584,8,193,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194, 1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194, 1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194,3,194,2614,8,194, 1,195,1,195,1,196,1,196,1,197,1,197,1,198,1,198,1,199,1,199,1,200, 1,200,1,201,1,201,1,201,1,202,1,202,1,202,1,203,1,203,1,203,1,204, 1,204,1,205,1,205,1,205,1,206,1,206,1,207,1,207,1,207,1,208,1,208, 1,209,1,209,1,209,1,210,1,210,1,210,1,211,1,211,1,211,1,212,1,212, 1,212,1,213,1,213,1,213,1,214,1,214,1,214,1,215,1,215,1,216,1,216, 1,217,1,217,1,218,1,218,1,219,1,219,1,220,1,220,1,220,1,221,1,221, 1,222,1,222,1,223,1,223,1,224,1,224,1,225,1,225,1,226,1,226,1,227, 4,227,2693,8,227,11,227,12,227,2694,1,227,1,227,5,227,2699,8,227, 10,227,12,227,2702,9,227,3,227,2704,8,227,1,227,1,227,4,227,2708, 8,227,11,227,12,227,2709,3,227,2712,8,227,1,227,1,227,3,227,2716, 8,227,1,227,4,227,2719,8,227,11,227,12,227,2720,3,227,2723,8,227, 1,228,1,228,1,228,1,228,1,228,3,228,2730,8,228,1,229,1,229,1,229, 1,229,5,229,2736,8,229,10,229,12,229,2739,9,229,1,229,1,229,1,229, 1,229,1,229,5,229,2746,8,229,10,229,12,229,2749,9,229,1,229,3,229, 2752,8,229,1,230,1,230,5,230,2756,8,230,10,230,12,230,2759,9,230, 1,231,1,231,5,231,2763,8,231,10,231,12,231,2766,9,231,1,231,1,231, 1,232,1,232,1,232,1,232,5,232,2774,8,232,10,232,12,232,2777,9,232, 1,232,1,232,1,232,1,232,1,232,1,233,4,233,2785,8,233,11,233,12,233, 2786,1,233,1,233,1,2775,0,234,1,1,3,2,5,3,7,4,9,5,11,6,13,7,15,8, 17,9,19,10,21,11,23,12,25,13,27,14,29,15,31,16,33,17,35,18,37,19, 39,20,41,21,43,22,45,23,47,24,49,25,51,26,53,27,55,28,57,29,59,30, 61,31,63,32,65,33,67,34,69,35,71,36,73,37,75,38,77,39,79,40,81,41, 83,42,85,43,87,44,89,45,91,46,93,47,95,48,97,49,99,50,101,51,103, 52,105,53,107,54,109,55,111,56,113,57,115,58,117,59,119,60,121,61, 123,62,125,63,127,64,129,65,131,66,133,67,135,68,137,69,139,70,141, 71,143,72,145,73,147,74,149,75,151,76,153,77,155,78,157,79,159,80, 161,81,163,82,165,83,167,84,169,85,171,86,173,87,175,88,177,89,179, 90,181,91,183,92,185,93,187,94,189,95,191,96,193,97,195,98,197,99, 199,100,201,101,203,102,205,103,207,104,209,105,211,106,213,107, 215,108,217,109,219,110,221,111,223,112,225,113,227,114,229,115, 231,116,233,117,235,118,237,119,239,120,241,121,243,122,245,123, 247,124,249,125,251,126,253,127,255,128,257,129,259,130,261,131, 263,132,265,133,267,134,269,135,271,136,273,137,275,138,277,139, 279,140,281,141,283,142,285,143,287,144,289,145,291,146,293,147, 295,148,297,149,299,150,301,151,303,152,305,153,307,154,309,155, 311,156,313,157,315,158,317,159,319,160,321,161,323,162,325,163, 327,164,329,165,331,166,333,167,335,168,337,169,339,170,341,171, 343,172,345,173,347,174,349,175,351,176,353,177,355,178,357,179, 359,180,361,181,363,182,365,183,367,184,369,185,371,186,373,187, 375,188,377,189,379,190,381,191,383,192,385,193,387,194,389,195, 391,196,393,197,395,198,397,199,399,200,401,201,403,202,405,203, 407,204,409,205,411,206,413,207,415,208,417,209,419,210,421,211, 423,212,425,213,427,214,429,215,431,216,433,217,435,218,437,219, 439,220,441,221,443,222,445,223,447,224,449,225,451,226,453,227, 455,228,457,229,459,230,461,231,463,232,465,233,467,234,1,0,9,1, 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, 57,65,90,95,95,97,122,2,0,10,10,13,13,3,0,9,10,13,13,32,32,2876, 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, 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1,0,0,0,99,787,1,0,0,0,101,800,1,0,0,0,103,802,1,0,0,0,105,808,1, 0,0,0,107,817,1,0,0,0,109,826,1,0,0,0,111,831,1,0,0,0,113,836,1, 0,0,0,115,841,1,0,0,0,117,845,1,0,0,0,119,850,1,0,0,0,121,854,1, 0,0,0,123,873,1,0,0,0,125,890,1,0,0,0,127,892,1,0,0,0,129,901,1, 0,0,0,131,905,1,0,0,0,133,912,1,0,0,0,135,916,1,0,0,0,137,923,1, 0,0,0,139,927,1,0,0,0,141,931,1,0,0,0,143,948,1,0,0,0,145,950,1, 0,0,0,147,957,1,0,0,0,149,962,1,0,0,0,151,969,1,0,0,0,153,997,1, 0,0,0,155,1019,1,0,0,0,157,1036,1,0,0,0,159,1057,1,0,0,0,161,1072, 1,0,0,0,163,1074,1,0,0,0,165,1099,1,0,0,0,167,1101,1,0,0,0,169,1130, 1,0,0,0,171,1146,1,0,0,0,173,1148,1,0,0,0,175,1153,1,0,0,0,177,1160, 1,0,0,0,179,1168,1,0,0,0,181,1175,1,0,0,0,183,1185,1,0,0,0,185,1222, 1,0,0,0,187,1224,1,0,0,0,189,1236,1,0,0,0,191,1272,1,0,0,0,193,1292, 1,0,0,0,195,1294,1,0,0,0,197,1313,1,0,0,0,199,1315,1,0,0,0,201,1323, 1,0,0,0,203,1327,1,0,0,0,205,1333,1,0,0,0,207,1340,1,0,0,0,209,1360, 1,0,0,0,211,1384,1,0,0,0,213,1386,1,0,0,0,215,1407,1,0,0,0,217,1424, 1,0,0,0,219,1439,1,0,0,0,221,1441,1,0,0,0,223,1448,1,0,0,0,225,1472, 1,0,0,0,227,1474,1,0,0,0,229,1485,1,0,0,0,231,1495,1,0,0,0,233,1507, 1,0,0,0,235,1517,1,0,0,0,237,1547,1,0,0,0,239,1549,1,0,0,0,241,1553, 1,0,0,0,243,1559,1,0,0,0,245,1565,1,0,0,0,247,1571,1,0,0,0,249,1576, 1,0,0,0,251,1582,1,0,0,0,253,1602,1,0,0,0,255,1604,1,0,0,0,257,1609, 1,0,0,0,259,1617,1,0,0,0,261,1624,1,0,0,0,263,1630,1,0,0,0,265,1641, 1,0,0,0,267,1653,1,0,0,0,269,1666,1,0,0,0,271,1680,1,0,0,0,273,1693, 1,0,0,0,275,1707,1,0,0,0,277,1718,1,0,0,0,279,1729,1,0,0,0,281,1740, 1,0,0,0,283,1751,1,0,0,0,285,1770,1,0,0,0,287,1831,1,0,0,0,289,1833, 1,0,0,0,291,1869,1,0,0,0,293,1902,1,0,0,0,295,1923,1,0,0,0,297,1925, 1,0,0,0,299,1928,1,0,0,0,301,1933,1,0,0,0,303,1939,1,0,0,0,305,1943, 1,0,0,0,307,1946,1,0,0,0,309,1952,1,0,0,0,311,1961,1,0,0,0,313,1980, 1,0,0,0,315,1982,1,0,0,0,317,1987,1,0,0,0,319,1995,1,0,0,0,321,2002, 1,0,0,0,323,2009,1,0,0,0,325,2017,1,0,0,0,327,2025,1,0,0,0,329,2032, 1,0,0,0,331,2037,1,0,0,0,333,2048,1,0,0,0,335,2057,1,0,0,0,337,2065, 1,0,0,0,339,2075,1,0,0,0,341,2080,1,0,0,0,343,2099,1,0,0,0,345,2101, 1,0,0,0,347,2109,1,0,0,0,349,2130,1,0,0,0,351,2149,1,0,0,0,353,2174, 1,0,0,0,355,2199,1,0,0,0,357,2219,1,0,0,0,359,2244,1,0,0,0,361,2269, 1,0,0,0,363,2292,1,0,0,0,365,2313,1,0,0,0,367,2332,1,0,0,0,369,2353, 1,0,0,0,371,2374,1,0,0,0,373,2399,1,0,0,0,375,2420,1,0,0,0,377,2441, 1,0,0,0,379,2463,1,0,0,0,381,2483,1,0,0,0,383,2533,1,0,0,0,385,2563, 1,0,0,0,387,2583,1,0,0,0,389,2613,1,0,0,0,391,2615,1,0,0,0,393,2617, 1,0,0,0,395,2619,1,0,0,0,397,2621,1,0,0,0,399,2623,1,0,0,0,401,2625, 1,0,0,0,403,2627,1,0,0,0,405,2630,1,0,0,0,407,2633,1,0,0,0,409,2636, 1,0,0,0,411,2638,1,0,0,0,413,2641,1,0,0,0,415,2643,1,0,0,0,417,2646, 1,0,0,0,419,2648,1,0,0,0,421,2651,1,0,0,0,423,2654,1,0,0,0,425,2657, 1,0,0,0,427,2660,1,0,0,0,429,2663,1,0,0,0,431,2666,1,0,0,0,433,2668, 1,0,0,0,435,2670,1,0,0,0,437,2672,1,0,0,0,439,2674,1,0,0,0,441,2676, 1,0,0,0,443,2679,1,0,0,0,445,2681,1,0,0,0,447,2683,1,0,0,0,449,2685, 1,0,0,0,451,2687,1,0,0,0,453,2689,1,0,0,0,455,2711,1,0,0,0,457,2729, 1,0,0,0,459,2751,1,0,0,0,461,2753,1,0,0,0,463,2760,1,0,0,0,465,2769, 1,0,0,0,467,2784,1,0,0,0,469,470,5,115,0,0,470,471,5,105,0,0,471, 472,5,110,0,0,472,2,1,0,0,0,473,474,5,99,0,0,474,475,5,111,0,0,475, 476,5,115,0,0,476,4,1,0,0,0,477,478,5,116,0,0,478,479,5,97,0,0,479, 480,5,110,0,0,480,6,1,0,0,0,481,482,5,97,0,0,482,483,5,115,0,0,483, 484,5,105,0,0,484,485,5,110,0,0,485,8,1,0,0,0,486,487,5,97,0,0,487, 488,5,99,0,0,488,489,5,111,0,0,489,490,5,115,0,0,490,10,1,0,0,0, 491,492,5,97,0,0,492,493,5,116,0,0,493,494,5,97,0,0,494,495,5,110, 0,0,495,12,1,0,0,0,496,497,5,97,0,0,497,498,5,116,0,0,498,499,5, 97,0,0,499,500,5,110,0,0,500,501,5,50,0,0,501,14,1,0,0,0,502,503, 5,115,0,0,503,504,5,105,0,0,504,505,5,110,0,0,505,506,5,104,0,0, 506,16,1,0,0,0,507,508,5,99,0,0,508,509,5,111,0,0,509,510,5,115, 0,0,510,511,5,104,0,0,511,18,1,0,0,0,512,513,5,116,0,0,513,514,5, 97,0,0,514,515,5,110,0,0,515,516,5,104,0,0,516,20,1,0,0,0,517,518, 5,97,0,0,518,519,5,115,0,0,519,520,5,105,0,0,520,521,5,110,0,0,521, 522,5,104,0,0,522,22,1,0,0,0,523,524,5,97,0,0,524,525,5,99,0,0,525, 526,5,111,0,0,526,527,5,115,0,0,527,528,5,104,0,0,528,24,1,0,0,0, 529,530,5,97,0,0,530,531,5,116,0,0,531,532,5,97,0,0,532,533,5,110, 0,0,533,534,5,104,0,0,534,26,1,0,0,0,535,536,5,97,0,0,536,537,5, 98,0,0,537,538,5,115,0,0,538,28,1,0,0,0,539,540,5,115,0,0,540,541, 5,113,0,0,541,542,5,114,0,0,542,543,5,116,0,0,543,30,1,0,0,0,544, 545,5,108,0,0,545,546,5,110,0,0,546,32,1,0,0,0,547,548,5,108,0,0, 548,549,5,111,0,0,549,550,5,103,0,0,550,34,1,0,0,0,551,552,5,101, 0,0,552,553,5,120,0,0,553,554,5,112,0,0,554,36,1,0,0,0,555,556,5, 115,0,0,556,557,5,109,0,0,557,558,5,105,0,0,558,559,5,110,0,0,559, 38,1,0,0,0,560,561,5,115,0,0,561,562,5,109,0,0,562,563,5,97,0,0, 563,564,5,120,0,0,564,40,1,0,0,0,565,566,5,116,0,0,566,567,5,109, 0,0,567,568,5,105,0,0,568,569,5,110,0,0,569,42,1,0,0,0,570,571,5, 116,0,0,571,572,5,109,0,0,572,573,5,97,0,0,573,574,5,120,0,0,574, 44,1,0,0,0,575,576,5,116,0,0,576,577,5,110,0,0,577,578,5,111,0,0, 578,579,5,114,0,0,579,580,5,109,0,0,580,46,1,0,0,0,581,582,5,115, 0,0,582,583,5,110,0,0,583,584,5,111,0,0,584,585,5,114,0,0,585,586, 5,109,0,0,586,48,1,0,0,0,587,588,5,102,0,0,588,589,5,108,0,0,589, 590,5,111,0,0,590,591,5,111,0,0,591,592,5,114,0,0,592,50,1,0,0,0, 593,594,5,99,0,0,594,595,5,101,0,0,595,596,5,105,0,0,596,597,5,108, 0,0,597,52,1,0,0,0,598,599,5,114,0,0,599,600,5,111,0,0,600,601,5, 117,0,0,601,602,5,110,0,0,602,603,5,100,0,0,603,54,1,0,0,0,604,605, 5,103,0,0,605,606,5,97,0,0,606,607,5,109,0,0,607,608,5,109,0,0,608, 609,5,97,0,0,609,56,1,0,0,0,610,611,5,112,0,0,611,612,5,111,0,0, 612,613,5,119,0,0,613,58,1,0,0,0,614,615,5,115,0,0,615,616,5,105, 0,0,616,617,5,103,0,0,617,618,5,109,0,0,618,60,1,0,0,0,619,620,5, 99,0,0,620,621,5,108,0,0,621,622,5,97,0,0,622,623,5,109,0,0,623, 624,5,112,0,0,624,62,1,0,0,0,625,626,5,102,0,0,626,627,5,102,0,0, 627,628,5,116,0,0,628,64,1,0,0,0,629,630,5,105,0,0,630,631,5,102, 0,0,631,632,5,102,0,0,632,633,5,116,0,0,633,66,1,0,0,0,634,635,5, 97,0,0,635,636,5,110,0,0,636,637,5,103,0,0,637,638,5,108,0,0,638, 639,5,101,0,0,639,68,1,0,0,0,640,641,5,112,0,0,641,642,5,114,0,0, 642,643,5,105,0,0,643,644,5,110,0,0,644,645,5,116,0,0,645,70,1,0, 0,0,646,647,5,112,0,0,647,648,5,114,0,0,648,649,5,105,0,0,649,650, 5,110,0,0,650,651,5,116,0,0,651,652,5,95,0,0,652,653,5,115,0,0,653, 654,5,104,0,0,654,655,5,97,0,0,655,656,5,112,0,0,656,662,5,101,0, 0,657,658,5,112,0,0,658,659,5,115,0,0,659,660,5,104,0,0,660,662, 5,112,0,0,661,646,1,0,0,0,661,657,1,0,0,0,662,72,1,0,0,0,663,664, 5,110,0,0,664,665,5,118,0,0,665,677,5,108,0,0,666,667,5,110,0,0, 667,668,5,97,0,0,668,669,5,110,0,0,669,670,5,95,0,0,670,671,5,116, 0,0,671,672,5,111,0,0,672,673,5,95,0,0,673,674,5,110,0,0,674,675, 5,117,0,0,675,677,5,109,0,0,676,663,1,0,0,0,676,666,1,0,0,0,677, 74,1,0,0,0,678,679,5,108,0,0,679,680,5,101,0,0,680,681,5,114,0,0, 681,682,5,112,0,0,682,76,1,0,0,0,683,684,5,115,0,0,684,685,5,116, 0,0,685,686,5,101,0,0,686,687,5,112,0,0,687,78,1,0,0,0,688,689,5, 115,0,0,689,690,5,109,0,0,690,691,5,111,0,0,691,692,5,111,0,0,692, 693,5,116,0,0,693,694,5,104,0,0,694,695,5,115,0,0,695,696,5,116, 0,0,696,697,5,101,0,0,697,698,5,112,0,0,698,80,1,0,0,0,699,700,5, 102,0,0,700,701,5,114,0,0,701,702,5,97,0,0,702,703,5,99,0,0,703, 704,5,116,0,0,704,82,1,0,0,0,705,706,5,114,0,0,706,707,5,101,0,0, 707,708,5,108,0,0,708,709,5,117,0,0,709,84,1,0,0,0,710,711,5,115, 0,0,711,712,5,111,0,0,712,713,5,102,0,0,713,714,5,116,0,0,714,715, 5,112,0,0,715,716,5,108,0,0,716,717,5,117,0,0,717,718,5,115,0,0, 718,86,1,0,0,0,719,720,5,103,0,0,720,721,5,101,0,0,721,722,5,108, 0,0,722,723,5,117,0,0,723,88,1,0,0,0,724,725,5,115,0,0,725,726,5, 105,0,0,726,727,5,103,0,0,727,728,5,110,0,0,728,90,1,0,0,0,729,730, 5,109,0,0,730,731,5,97,0,0,731,732,5,112,0,0,732,92,1,0,0,0,733, 734,5,101,0,0,734,735,5,122,0,0,735,736,5,99,0,0,736,737,5,111,0, 0,737,738,5,110,0,0,738,739,5,118,0,0,739,740,5,111,0,0,740,741, 5,108,0,0,741,742,5,117,0,0,742,743,5,116,0,0,743,744,5,105,0,0, 744,745,5,111,0,0,745,753,5,110,0,0,746,747,5,101,0,0,747,748,5, 122,0,0,748,749,5,99,0,0,749,750,5,111,0,0,750,751,5,110,0,0,751, 753,5,118,0,0,752,733,1,0,0,0,752,746,1,0,0,0,753,94,1,0,0,0,754, 755,5,99,0,0,755,756,5,111,0,0,756,757,5,110,0,0,757,758,5,118,0, 0,758,759,5,111,0,0,759,760,5,108,0,0,760,761,5,117,0,0,761,762, 5,116,0,0,762,763,5,105,0,0,763,764,5,111,0,0,764,770,5,110,0,0, 765,766,5,99,0,0,766,767,5,111,0,0,767,768,5,110,0,0,768,770,5,118, 0,0,769,754,1,0,0,0,769,765,1,0,0,0,770,96,1,0,0,0,771,772,5,115, 0,0,772,773,5,119,0,0,773,774,5,97,0,0,774,775,5,112,0,0,775,98, 1,0,0,0,776,777,5,112,0,0,777,778,5,101,0,0,778,779,5,114,0,0,779, 780,5,109,0,0,780,781,5,117,0,0,781,782,5,116,0,0,782,788,5,101, 0,0,783,784,5,112,0,0,784,785,5,101,0,0,785,786,5,114,0,0,786,788, 5,109,0,0,787,776,1,0,0,0,787,783,1,0,0,0,788,100,1,0,0,0,789,790, 5,114,0,0,790,791,5,101,0,0,791,792,5,115,0,0,792,793,5,104,0,0, 793,794,5,97,0,0,794,795,5,112,0,0,795,801,5,101,0,0,796,797,5,114, 0,0,797,798,5,115,0,0,798,799,5,104,0,0,799,801,5,112,0,0,800,789, 1,0,0,0,800,796,1,0,0,0,801,102,1,0,0,0,802,803,5,114,0,0,803,804, 5,97,0,0,804,805,5,110,0,0,805,806,5,103,0,0,806,807,5,101,0,0,807, 104,1,0,0,0,808,809,5,108,0,0,809,810,5,105,0,0,810,811,5,110,0, 0,811,812,5,115,0,0,812,813,5,112,0,0,813,814,5,97,0,0,814,815,5, 99,0,0,815,816,5,101,0,0,816,106,1,0,0,0,817,818,5,108,0,0,818,819, 5,111,0,0,819,820,5,103,0,0,820,821,5,115,0,0,821,822,5,112,0,0, 822,823,5,97,0,0,823,824,5,99,0,0,824,825,5,101,0,0,825,108,1,0, 0,0,826,827,5,116,0,0,827,828,5,111,0,0,828,829,5,112,0,0,829,830, 5,107,0,0,830,110,1,0,0,0,831,832,5,98,0,0,832,833,5,111,0,0,833, 834,5,116,0,0,834,835,5,107,0,0,835,112,1,0,0,0,836,837,5,112,0, 0,837,838,5,105,0,0,838,839,5,110,0,0,839,840,5,118,0,0,840,114, 1,0,0,0,841,842,5,115,0,0,842,843,5,117,0,0,843,844,5,109,0,0,844, 116,1,0,0,0,845,846,5,109,0,0,846,847,5,101,0,0,847,848,5,97,0,0, 848,849,5,110,0,0,849,118,1,0,0,0,850,851,5,115,0,0,851,852,5,116, 0,0,852,853,5,100,0,0,853,120,1,0,0,0,854,855,5,118,0,0,855,856, 5,97,0,0,856,857,5,114,0,0,857,122,1,0,0,0,858,859,5,113,0,0,859, 860,5,117,0,0,860,861,5,97,0,0,861,862,5,114,0,0,862,863,5,116,0, 0,863,864,5,105,0,0,864,865,5,108,0,0,865,874,5,101,0,0,866,867, 5,113,0,0,867,868,5,117,0,0,868,869,5,97,0,0,869,870,5,114,0,0,870, 871,5,116,0,0,871,872,5,105,0,0,872,874,5,108,0,0,873,858,1,0,0, 0,873,866,1,0,0,0,874,124,1,0,0,0,875,876,5,112,0,0,876,877,5,101, 0,0,877,878,5,114,0,0,878,879,5,99,0,0,879,880,5,101,0,0,880,881, 5,110,0,0,881,882,5,116,0,0,882,883,5,105,0,0,883,884,5,108,0,0, 884,891,5,101,0,0,885,886,5,112,0,0,886,887,5,114,0,0,887,888,5, 99,0,0,888,889,5,110,0,0,889,891,5,116,0,0,890,875,1,0,0,0,890,885, 1,0,0,0,891,126,1,0,0,0,892,893,5,113,0,0,893,894,5,117,0,0,894, 895,5,97,0,0,895,896,5,110,0,0,896,897,5,116,0,0,897,898,5,105,0, 0,898,899,5,108,0,0,899,900,5,101,0,0,900,128,1,0,0,0,901,902,5, 100,0,0,902,903,5,111,0,0,903,904,5,116,0,0,904,130,1,0,0,0,905, 906,5,109,0,0,906,907,5,111,0,0,907,908,5,109,0,0,908,909,5,101, 0,0,909,910,5,110,0,0,910,911,5,116,0,0,911,132,1,0,0,0,912,913, 5,101,0,0,913,914,5,114,0,0,914,915,5,102,0,0,915,134,1,0,0,0,916, 917,5,101,0,0,917,918,5,114,0,0,918,919,5,102,0,0,919,920,5,105, 0,0,920,921,5,110,0,0,921,922,5,118,0,0,922,136,1,0,0,0,923,924, 5,97,0,0,924,925,5,110,0,0,925,926,5,121,0,0,926,138,1,0,0,0,927, 928,5,97,0,0,928,929,5,108,0,0,929,930,5,108,0,0,930,140,1,0,0,0, 931,932,5,101,0,0,932,933,5,100,0,0,933,934,5,103,0,0,934,935,5, 101,0,0,935,142,1,0,0,0,936,937,5,98,0,0,937,938,5,108,0,0,938,939, 5,117,0,0,939,949,5,114,0,0,940,941,5,103,0,0,941,942,5,97,0,0,942, 943,5,117,0,0,943,944,5,115,0,0,944,945,5,115,0,0,945,946,5,105, 0,0,946,947,5,97,0,0,947,949,5,110,0,0,948,936,1,0,0,0,948,940,1, 0,0,0,949,144,1,0,0,0,950,951,5,109,0,0,951,952,5,101,0,0,952,953, 5,100,0,0,953,954,5,105,0,0,954,955,5,97,0,0,955,956,5,110,0,0,956, 146,1,0,0,0,957,958,5,109,0,0,958,959,5,111,0,0,959,960,5,100,0, 0,960,961,5,101,0,0,961,148,1,0,0,0,962,963,5,99,0,0,963,964,5,117, 0,0,964,965,5,109,0,0,965,966,5,115,0,0,966,967,5,117,0,0,967,968, 5,109,0,0,968,150,1,0,0,0,969,970,5,99,0,0,970,971,5,117,0,0,971, 972,5,109,0,0,972,973,5,112,0,0,973,974,5,114,0,0,974,975,5,111, 0,0,975,976,5,100,0,0,976,152,1,0,0,0,977,978,5,116,0,0,978,979, 5,111,0,0,979,980,5,112,0,0,980,981,5,107,0,0,981,982,5,95,0,0,982, 983,5,105,0,0,983,984,5,110,0,0,984,998,5,100,0,0,985,986,5,116, 0,0,986,987,5,111,0,0,987,988,5,112,0,0,988,989,5,107,0,0,989,990, 5,95,0,0,990,991,5,105,0,0,991,992,5,110,0,0,992,993,5,100,0,0,993, 994,5,105,0,0,994,995,5,99,0,0,995,996,5,101,0,0,996,998,5,115,0, 0,997,977,1,0,0,0,997,985,1,0,0,0,998,154,1,0,0,0,999,1000,5,98, 0,0,1000,1001,5,111,0,0,1001,1002,5,116,0,0,1002,1003,5,107,0,0, 1003,1004,5,95,0,0,1004,1005,5,105,0,0,1005,1006,5,110,0,0,1006, 1020,5,100,0,0,1007,1008,5,98,0,0,1008,1009,5,111,0,0,1009,1010, 5,116,0,0,1010,1011,5,107,0,0,1011,1012,5,95,0,0,1012,1013,5,105, 0,0,1013,1014,5,110,0,0,1014,1015,5,100,0,0,1015,1016,5,105,0,0, 1016,1017,5,99,0,0,1017,1018,5,101,0,0,1018,1020,5,115,0,0,1019, 999,1,0,0,0,1019,1007,1,0,0,0,1020,156,1,0,0,0,1021,1022,5,99,0, 0,1022,1023,5,117,0,0,1023,1024,5,98,0,0,1024,1025,5,105,0,0,1025, 1026,5,99,0,0,1026,1027,5,95,0,0,1027,1028,5,101,0,0,1028,1029,5, 97,0,0,1029,1030,5,115,0,0,1030,1037,5,101,0,0,1031,1032,5,99,0, 0,1032,1033,5,117,0,0,1033,1034,5,98,0,0,1034,1035,5,105,0,0,1035, 1037,5,99,0,0,1036,1021,1,0,0,0,1036,1031,1,0,0,0,1037,158,1,0,0, 0,1038,1039,5,101,0,0,1039,1040,5,108,0,0,1040,1041,5,97,0,0,1041, 1042,5,115,0,0,1042,1043,5,116,0,0,1043,1044,5,105,0,0,1044,1045, 5,99,0,0,1045,1046,5,95,0,0,1046,1047,5,101,0,0,1047,1048,5,97,0, 0,1048,1049,5,115,0,0,1049,1058,5,101,0,0,1050,1051,5,101,0,0,1051, 1052,5,108,0,0,1052,1053,5,97,0,0,1053,1054,5,115,0,0,1054,1055, 5,116,0,0,1055,1056,5,105,0,0,1056,1058,5,99,0,0,1057,1038,1,0,0, 0,1057,1050,1,0,0,0,1058,160,1,0,0,0,1059,1060,5,115,0,0,1060,1061, 5,105,0,0,1061,1062,5,110,0,0,1062,1063,5,101,0,0,1063,1064,5,95, 0,0,1064,1065,5,101,0,0,1065,1066,5,97,0,0,1066,1067,5,115,0,0,1067, 1073,5,101,0,0,1068,1069,5,115,0,0,1069,1070,5,105,0,0,1070,1071, 5,110,0,0,1071,1073,5,101,0,0,1072,1059,1,0,0,0,1072,1068,1,0,0, 0,1073,162,1,0,0,0,1074,1075,5,115,0,0,1075,1076,5,109,0,0,1076, 1077,5,111,0,0,1077,1078,5,111,0,0,1078,1079,5,116,0,0,1079,1080, 5,104,0,0,1080,1081,5,101,0,0,1081,1082,5,114,0,0,1082,1083,5,115, 0,0,1083,1084,5,116,0,0,1084,1085,5,101,0,0,1085,1086,5,112,0,0, 1086,164,1,0,0,0,1087,1088,5,100,0,0,1088,1089,5,105,0,0,1089,1090, 5,115,0,0,1090,1100,5,116,0,0,1091,1092,5,100,0,0,1092,1093,5,105, 0,0,1093,1094,5,115,0,0,1094,1095,5,116,0,0,1095,1096,5,97,0,0,1096, 1097,5,110,0,0,1097,1098,5,99,0,0,1098,1100,5,101,0,0,1099,1087, 1,0,0,0,1099,1091,1,0,0,0,1100,166,1,0,0,0,1101,1102,5,114,0,0,1102, 1103,5,101,0,0,1103,1104,5,109,0,0,1104,1105,5,97,0,0,1105,1106, 5,112,0,0,1106,168,1,0,0,0,1107,1108,5,99,0,0,1108,1109,5,111,0, 0,1109,1110,5,115,0,0,1110,1111,5,115,0,0,1111,1112,5,105,0,0,1112, 1131,5,109,0,0,1113,1114,5,99,0,0,1114,1115,5,111,0,0,1115,1116, 5,115,0,0,1116,1117,5,105,0,0,1117,1118,5,110,0,0,1118,1119,5,101, 0,0,1119,1120,5,95,0,0,1120,1121,5,115,0,0,1121,1122,5,105,0,0,1122, 1123,5,109,0,0,1123,1124,5,105,0,0,1124,1125,5,108,0,0,1125,1126, 5,97,0,0,1126,1127,5,114,0,0,1127,1128,5,105,0,0,1128,1129,5,116, 0,0,1129,1131,5,121,0,0,1130,1107,1,0,0,0,1130,1113,1,0,0,0,1131, 170,1,0,0,0,1132,1133,5,99,0,0,1133,1134,5,111,0,0,1134,1135,5,117, 0,0,1135,1136,5,110,0,0,1136,1147,5,116,0,0,1137,1138,5,99,0,0,1138, 1139,5,110,0,0,1139,1147,5,116,0,0,1140,1141,5,108,0,0,1141,1142, 5,101,0,0,1142,1143,5,110,0,0,1143,1144,5,103,0,0,1144,1145,5,116, 0,0,1145,1147,5,104,0,0,1146,1132,1,0,0,0,1146,1137,1,0,0,0,1146, 1140,1,0,0,0,1147,172,1,0,0,0,1148,1149,5,107,0,0,1149,1150,5,101, 0,0,1150,1151,5,121,0,0,1151,1152,5,115,0,0,1152,174,1,0,0,0,1153, 1154,5,114,0,0,1154,1155,5,101,0,0,1155,1156,5,112,0,0,1156,1157, 5,101,0,0,1157,1158,5,97,0,0,1158,1159,5,116,0,0,1159,176,1,0,0, 0,1160,1161,5,102,0,0,1161,1162,5,108,0,0,1162,1163,5,97,0,0,1163, 1164,5,116,0,0,1164,1165,5,116,0,0,1165,1166,5,101,0,0,1166,1167, 5,110,0,0,1167,178,1,0,0,0,1168,1169,5,97,0,0,1169,1170,5,112,0, 0,1170,1171,5,112,0,0,1171,1172,5,101,0,0,1172,1173,5,110,0,0,1173, 1174,5,100,0,0,1174,180,1,0,0,0,1175,1176,5,103,0,0,1176,1177,5, 101,0,0,1177,1178,5,116,0,0,1178,1179,5,95,0,0,1179,1180,5,118,0, 0,1180,1181,5,97,0,0,1181,1182,5,108,0,0,1182,1183,5,117,0,0,1183, 1184,5,101,0,0,1184,182,1,0,0,0,1185,1186,5,102,0,0,1186,1187,5, 108,0,0,1187,1188,5,111,0,0,1188,1189,5,119,0,0,1189,1190,5,95,0, 0,1190,1191,5,97,0,0,1191,1192,5,112,0,0,1192,1193,5,112,0,0,1193, 1194,5,108,0,0,1194,1195,5,121,0,0,1195,184,1,0,0,0,1196,1197,5, 98,0,0,1197,1198,5,97,0,0,1198,1199,5,116,0,0,1199,1200,5,99,0,0, 1200,1201,5,104,0,0,1201,1202,5,95,0,0,1202,1203,5,115,0,0,1203, 1204,5,104,0,0,1204,1205,5,117,0,0,1205,1206,5,102,0,0,1206,1207, 5,102,0,0,1207,1208,5,108,0,0,1208,1223,5,101,0,0,1209,1210,5,115, 0,0,1210,1211,5,104,0,0,1211,1212,5,117,0,0,1212,1213,5,102,0,0, 1213,1214,5,102,0,0,1214,1215,5,108,0,0,1215,1223,5,101,0,0,1216, 1217,5,115,0,0,1217,1218,5,101,0,0,1218,1219,5,108,0,0,1219,1220, 5,101,0,0,1220,1221,5,99,0,0,1221,1223,5,116,0,0,1222,1196,1,0,0, 0,1222,1209,1,0,0,0,1222,1216,1,0,0,0,1223,186,1,0,0,0,1224,1225, 5,109,0,0,1225,1226,5,111,0,0,1226,1227,5,116,0,0,1227,1228,5,105, 0,0,1228,1229,5,111,0,0,1229,1230,5,110,0,0,1230,1231,5,95,0,0,1231, 1232,5,109,0,0,1232,1233,5,97,0,0,1233,1234,5,115,0,0,1234,1235, 5,107,0,0,1235,188,1,0,0,0,1236,1237,5,102,0,0,1237,1238,5,108,0, 0,1238,1239,5,111,0,0,1239,1240,5,119,0,0,1240,1241,5,95,0,0,1241, 1242,5,116,0,0,1242,1243,5,111,0,0,1243,1244,5,95,0,0,1244,1245, 5,105,0,0,1245,1246,5,109,0,0,1246,1247,5,97,0,0,1247,1248,5,103, 0,0,1248,1249,5,101,0,0,1249,190,1,0,0,0,1250,1251,5,102,0,0,1251, 1252,5,108,0,0,1252,1253,5,111,0,0,1253,1254,5,119,0,0,1254,1255, 5,95,0,0,1255,1256,5,109,0,0,1256,1257,5,97,0,0,1257,1273,5,103, 0,0,1258,1259,5,102,0,0,1259,1260,5,108,0,0,1260,1261,5,111,0,0, 1261,1262,5,119,0,0,1262,1263,5,95,0,0,1263,1264,5,109,0,0,1264, 1265,5,97,0,0,1265,1266,5,103,0,0,1266,1267,5,110,0,0,1267,1268, 5,105,0,0,1268,1269,5,116,0,0,1269,1270,5,117,0,0,1270,1271,5,100, 0,0,1271,1273,5,101,0,0,1272,1250,1,0,0,0,1272,1258,1,0,0,0,1273, 192,1,0,0,0,1274,1275,5,102,0,0,1275,1276,5,108,0,0,1276,1277,5, 111,0,0,1277,1278,5,119,0,0,1278,1279,5,95,0,0,1279,1280,5,97,0, 0,1280,1281,5,110,0,0,1281,1293,5,103,0,0,1282,1283,5,102,0,0,1283, 1284,5,108,0,0,1284,1285,5,111,0,0,1285,1286,5,119,0,0,1286,1287, 5,95,0,0,1287,1288,5,97,0,0,1288,1289,5,110,0,0,1289,1290,5,103, 0,0,1290,1291,5,108,0,0,1291,1293,5,101,0,0,1292,1274,1,0,0,0,1292, 1282,1,0,0,0,1293,194,1,0,0,0,1294,1295,5,119,0,0,1295,1296,5,104, 0,0,1296,1297,5,101,0,0,1297,1298,5,114,0,0,1298,1299,5,101,0,0, 1299,196,1,0,0,0,1300,1301,5,104,0,0,1301,1302,5,105,0,0,1302,1303, 5,115,0,0,1303,1304,5,116,0,0,1304,1305,5,111,0,0,1305,1306,5,103, 0,0,1306,1307,5,114,0,0,1307,1308,5,97,0,0,1308,1314,5,109,0,0,1309, 1310,5,104,0,0,1310,1311,5,105,0,0,1311,1312,5,115,0,0,1312,1314, 5,116,0,0,1313,1300,1,0,0,0,1313,1309,1,0,0,0,1314,198,1,0,0,0,1315, 1316,5,111,0,0,1316,1317,5,118,0,0,1317,1318,5,101,0,0,1318,1319, 5,114,0,0,1319,1320,5,108,0,0,1320,1321,5,97,0,0,1321,1322,5,121, 0,0,1322,200,1,0,0,0,1323,1324,5,112,0,0,1324,1325,5,97,0,0,1325, 1326,5,100,0,0,1326,202,1,0,0,0,1327,1328,5,99,0,0,1328,1329,5,114, 0,0,1329,1330,5,111,0,0,1330,1331,5,115,0,0,1331,1332,5,115,0,0, 1332,204,1,0,0,0,1333,1334,5,109,0,0,1334,1335,5,97,0,0,1335,1336, 5,116,0,0,1336,1337,5,109,0,0,1337,1338,5,117,0,0,1338,1339,5,108, 0,0,1339,206,1,0,0,0,1340,1341,5,114,0,0,1341,1342,5,105,0,0,1342, 1343,5,102,0,0,1343,1344,5,101,0,0,1344,208,1,0,0,0,1345,1346,5, 98,0,0,1346,1347,5,110,0,0,1347,1348,5,111,0,0,1348,1361,5,116,0, 0,1349,1350,5,98,0,0,1350,1351,5,105,0,0,1351,1352,5,116,0,0,1352, 1353,5,119,0,0,1353,1354,5,105,0,0,1354,1355,5,115,0,0,1355,1356, 5,101,0,0,1356,1357,5,95,0,0,1357,1358,5,110,0,0,1358,1359,5,111, 0,0,1359,1361,5,116,0,0,1360,1345,1,0,0,0,1360,1349,1,0,0,0,1361, 210,1,0,0,0,1362,1363,5,98,0,0,1363,1364,5,105,0,0,1364,1365,5,116, 0,0,1365,1366,5,99,0,0,1366,1367,5,111,0,0,1367,1368,5,117,0,0,1368, 1369,5,110,0,0,1369,1385,5,116,0,0,1370,1371,5,112,0,0,1371,1372, 5,111,0,0,1372,1373,5,112,0,0,1373,1374,5,99,0,0,1374,1375,5,111, 0,0,1375,1376,5,117,0,0,1376,1377,5,110,0,0,1377,1385,5,116,0,0, 1378,1379,5,112,0,0,1379,1380,5,111,0,0,1380,1381,5,112,0,0,1381, 1382,5,99,0,0,1382,1383,5,110,0,0,1383,1385,5,116,0,0,1384,1362, 1,0,0,0,1384,1370,1,0,0,0,1384,1378,1,0,0,0,1385,212,1,0,0,0,1386, 1387,5,115,0,0,1387,1388,5,104,0,0,1388,1389,5,97,0,0,1389,1390, 5,112,0,0,1390,1391,5,101,0,0,1391,214,1,0,0,0,1392,1393,5,98,0, 0,1393,1394,5,97,0,0,1394,1395,5,110,0,0,1395,1408,5,100,0,0,1396, 1397,5,98,0,0,1397,1398,5,105,0,0,1398,1399,5,116,0,0,1399,1400, 5,119,0,0,1400,1401,5,105,0,0,1401,1402,5,115,0,0,1402,1403,5,101, 0,0,1403,1404,5,95,0,0,1404,1405,5,97,0,0,1405,1406,5,110,0,0,1406, 1408,5,100,0,0,1407,1392,1,0,0,0,1407,1396,1,0,0,0,1408,216,1,0, 0,0,1409,1410,5,98,0,0,1410,1411,5,120,0,0,1411,1412,5,111,0,0,1412, 1425,5,114,0,0,1413,1414,5,98,0,0,1414,1415,5,105,0,0,1415,1416, 5,116,0,0,1416,1417,5,119,0,0,1417,1418,5,105,0,0,1418,1419,5,115, 0,0,1419,1420,5,101,0,0,1420,1421,5,95,0,0,1421,1422,5,120,0,0,1422, 1423,5,111,0,0,1423,1425,5,114,0,0,1424,1409,1,0,0,0,1424,1413,1, 0,0,0,1425,218,1,0,0,0,1426,1427,5,98,0,0,1427,1428,5,111,0,0,1428, 1440,5,114,0,0,1429,1430,5,98,0,0,1430,1431,5,105,0,0,1431,1432, 5,116,0,0,1432,1433,5,119,0,0,1433,1434,5,105,0,0,1434,1435,5,115, 0,0,1435,1436,5,101,0,0,1436,1437,5,95,0,0,1437,1438,5,111,0,0,1438, 1440,5,114,0,0,1439,1426,1,0,0,0,1439,1429,1,0,0,0,1440,220,1,0, 0,0,1441,1442,5,116,0,0,1442,1443,5,101,0,0,1443,1444,5,110,0,0, 1444,1445,5,115,0,0,1445,1446,5,111,0,0,1446,1447,5,114,0,0,1447, 222,1,0,0,0,1448,1449,5,97,0,0,1449,1450,5,100,0,0,1450,1451,5,100, 0,0,1451,1452,5,95,0,0,1452,1453,5,107,0,0,1453,1454,5,101,0,0,1454, 1455,5,121,0,0,1455,224,1,0,0,0,1456,1457,5,114,0,0,1457,1458,5, 101,0,0,1458,1459,5,109,0,0,1459,1460,5,111,0,0,1460,1461,5,118, 0,0,1461,1462,5,101,0,0,1462,1463,5,95,0,0,1463,1464,5,107,0,0,1464, 1465,5,101,0,0,1465,1473,5,121,0,0,1466,1467,5,114,0,0,1467,1468, 5,109,0,0,1468,1469,5,95,0,0,1469,1470,5,107,0,0,1470,1471,5,97, 0,0,1471,1473,5,121,0,0,1472,1456,1,0,0,0,1472,1466,1,0,0,0,1473, 226,1,0,0,0,1474,1475,5,115,0,0,1475,1476,5,116,0,0,1476,1477,5, 97,0,0,1477,1478,5,99,0,0,1478,1479,5,107,0,0,1479,1480,5,95,0,0, 1480,1481,5,112,0,0,1481,1482,5,117,0,0,1482,1483,5,115,0,0,1483, 1484,5,104,0,0,1484,228,1,0,0,0,1485,1486,5,115,0,0,1486,1487,5, 116,0,0,1487,1488,5,97,0,0,1488,1489,5,99,0,0,1489,1490,5,107,0, 0,1490,1491,5,95,0,0,1491,1492,5,112,0,0,1492,1493,5,111,0,0,1493, 1494,5,112,0,0,1494,230,1,0,0,0,1495,1496,5,115,0,0,1496,1497,5, 116,0,0,1497,1498,5,97,0,0,1498,1499,5,99,0,0,1499,1500,5,107,0, 0,1500,1501,5,95,0,0,1501,1502,5,99,0,0,1502,1503,5,108,0,0,1503, 1504,5,101,0,0,1504,1505,5,97,0,0,1505,1506,5,114,0,0,1506,232,1, 0,0,0,1507,1508,5,115,0,0,1508,1509,5,116,0,0,1509,1510,5,97,0,0, 1510,1511,5,99,0,0,1511,1512,5,107,0,0,1512,1513,5,95,0,0,1513,1514, 5,104,0,0,1514,1515,5,97,0,0,1515,1516,5,115,0,0,1516,234,1,0,0, 0,1517,1518,5,115,0,0,1518,1519,5,116,0,0,1519,1520,5,97,0,0,1520, 1521,5,99,0,0,1521,1522,5,107,0,0,1522,1523,5,95,0,0,1523,1524,5, 103,0,0,1524,1525,5,101,0,0,1525,1526,5,116,0,0,1526,236,1,0,0,0, 1527,1528,5,99,0,0,1528,1529,5,97,0,0,1529,1548,5,116,0,0,1530,1531, 5,99,0,0,1531,1532,5,111,0,0,1532,1533,5,110,0,0,1533,1534,5,99, 0,0,1534,1535,5,97,0,0,1535,1548,5,116,0,0,1536,1537,5,99,0,0,1537, 1538,5,111,0,0,1538,1539,5,110,0,0,1539,1540,5,99,0,0,1540,1541, 5,97,0,0,1541,1542,5,116,0,0,1542,1543,5,101,0,0,1543,1544,5,110, 0,0,1544,1545,5,97,0,0,1545,1546,5,116,0,0,1546,1548,5,101,0,0,1547, 1527,1,0,0,0,1547,1530,1,0,0,0,1547,1536,1,0,0,0,1548,238,1,0,0, 0,1549,1550,5,105,0,0,1550,1551,5,110,0,0,1551,1552,5,116,0,0,1552, 240,1,0,0,0,1553,1554,5,102,0,0,1554,1555,5,108,0,0,1555,1556,5, 111,0,0,1556,1557,5,97,0,0,1557,1558,5,116,0,0,1558,242,1,0,0,0, 1559,1560,5,117,0,0,1560,1561,5,112,0,0,1561,1562,5,112,0,0,1562, 1563,5,101,0,0,1563,1564,5,114,0,0,1564,244,1,0,0,0,1565,1566,5, 108,0,0,1566,1567,5,111,0,0,1567,1568,5,119,0,0,1568,1569,5,101, 0,0,1569,1570,5,114,0,0,1570,246,1,0,0,0,1571,1572,5,116,0,0,1572, 1573,5,114,0,0,1573,1574,5,105,0,0,1574,1575,5,109,0,0,1575,248, 1,0,0,0,1576,1577,5,115,0,0,1577,1578,5,112,0,0,1578,1579,5,108, 0,0,1579,1580,5,105,0,0,1580,1581,5,116,0,0,1581,250,1,0,0,0,1582, 1583,5,106,0,0,1583,1584,5,111,0,0,1584,1585,5,105,0,0,1585,1586, 5,110,0,0,1586,252,1,0,0,0,1587,1588,5,115,0,0,1588,1589,5,117,0, 0,1589,1590,5,98,0,0,1590,1591,5,115,0,0,1591,1592,5,116,0,0,1592, 1593,5,114,0,0,1593,1594,5,105,0,0,1594,1595,5,110,0,0,1595,1603, 5,103,0,0,1596,1597,5,115,0,0,1597,1598,5,117,0,0,1598,1599,5,98, 0,0,1599,1600,5,115,0,0,1600,1601,5,116,0,0,1601,1603,5,114,0,0, 1602,1587,1,0,0,0,1602,1596,1,0,0,0,1603,254,1,0,0,0,1604,1605,5, 102,0,0,1605,1606,5,105,0,0,1606,1607,5,110,0,0,1607,1608,5,100, 0,0,1608,256,1,0,0,0,1609,1610,5,114,0,0,1610,1611,5,101,0,0,1611, 1612,5,112,0,0,1612,1613,5,108,0,0,1613,1614,5,97,0,0,1614,1615, 5,99,0,0,1615,1616,5,101,0,0,1616,258,1,0,0,0,1617,1618,5,100,0, 0,1618,1619,5,105,0,0,1619,1620,5,108,0,0,1620,1621,5,97,0,0,1621, 1622,5,116,0,0,1622,1623,5,101,0,0,1623,260,1,0,0,0,1624,1625,5, 101,0,0,1625,1626,5,114,0,0,1626,1627,5,111,0,0,1627,1628,5,100, 0,0,1628,1629,5,101,0,0,1629,262,1,0,0,0,1630,1631,5,109,0,0,1631, 1632,5,111,0,0,1632,1633,5,114,0,0,1633,1634,5,112,0,0,1634,1635, 5,104,0,0,1635,1636,5,95,0,0,1636,1637,5,111,0,0,1637,1638,5,112, 0,0,1638,1639,5,101,0,0,1639,1640,5,110,0,0,1640,264,1,0,0,0,1641, 1642,5,109,0,0,1642,1643,5,111,0,0,1643,1644,5,114,0,0,1644,1645, 5,112,0,0,1645,1646,5,104,0,0,1646,1647,5,95,0,0,1647,1648,5,99, 0,0,1648,1649,5,108,0,0,1649,1650,5,111,0,0,1650,1651,5,115,0,0, 1651,1652,5,101,0,0,1652,266,1,0,0,0,1653,1654,5,114,0,0,1654,1655, 5,103,0,0,1655,1656,5,98,0,0,1656,1657,5,95,0,0,1657,1658,5,116, 0,0,1658,1659,5,111,0,0,1659,1660,5,95,0,0,1660,1661,5,111,0,0,1661, 1662,5,107,0,0,1662,1663,5,108,0,0,1663,1664,5,97,0,0,1664,1665, 5,98,0,0,1665,268,1,0,0,0,1666,1667,5,114,0,0,1667,1668,5,103,0, 0,1668,1669,5,98,0,0,1669,1670,5,95,0,0,1670,1671,5,116,0,0,1671, 1672,5,111,0,0,1672,1673,5,95,0,0,1673,1674,5,99,0,0,1674,1675,5, 105,0,0,1675,1676,5,101,0,0,1676,1677,5,108,0,0,1677,1678,5,97,0, 0,1678,1679,5,98,0,0,1679,270,1,0,0,0,1680,1681,5,111,0,0,1681,1682, 5,107,0,0,1682,1683,5,108,0,0,1683,1684,5,97,0,0,1684,1685,5,98, 0,0,1685,1686,5,95,0,0,1686,1687,5,116,0,0,1687,1688,5,111,0,0,1688, 1689,5,95,0,0,1689,1690,5,114,0,0,1690,1691,5,103,0,0,1691,1692, 5,98,0,0,1692,272,1,0,0,0,1693,1694,5,99,0,0,1694,1695,5,105,0,0, 1695,1696,5,101,0,0,1696,1697,5,108,0,0,1697,1698,5,97,0,0,1698, 1699,5,98,0,0,1699,1700,5,95,0,0,1700,1701,5,116,0,0,1701,1702,5, 111,0,0,1702,1703,5,95,0,0,1703,1704,5,114,0,0,1704,1705,5,103,0, 0,1705,1706,5,98,0,0,1706,274,1,0,0,0,1707,1708,5,114,0,0,1708,1709, 5,103,0,0,1709,1710,5,98,0,0,1710,1711,5,95,0,0,1711,1712,5,116, 0,0,1712,1713,5,111,0,0,1713,1714,5,95,0,0,1714,1715,5,104,0,0,1715, 1716,5,115,0,0,1716,1717,5,118,0,0,1717,276,1,0,0,0,1718,1719,5, 104,0,0,1719,1720,5,115,0,0,1720,1721,5,118,0,0,1721,1722,5,95,0, 0,1722,1723,5,116,0,0,1723,1724,5,111,0,0,1724,1725,5,95,0,0,1725, 1726,5,114,0,0,1726,1727,5,103,0,0,1727,1728,5,98,0,0,1728,278,1, 0,0,0,1729,1730,5,105,0,0,1730,1731,5,110,0,0,1731,1732,5,116,0, 0,1732,1733,5,95,0,0,1733,1734,5,116,0,0,1734,1735,5,111,0,0,1735, 1736,5,95,0,0,1736,1737,5,114,0,0,1737,1738,5,103,0,0,1738,1739, 5,98,0,0,1739,280,1,0,0,0,1740,1741,5,114,0,0,1741,1742,5,103,0, 0,1742,1743,5,98,0,0,1743,1744,5,95,0,0,1744,1745,5,116,0,0,1745, 1746,5,111,0,0,1746,1747,5,95,0,0,1747,1748,5,105,0,0,1748,1749, 5,110,0,0,1749,1750,5,116,0,0,1750,282,1,0,0,0,1751,1752,5,105,0, 0,1752,1753,5,110,0,0,1753,1754,5,116,0,0,1754,1755,5,101,0,0,1755, 1756,5,114,0,0,1756,1757,5,112,0,0,1757,1758,5,111,0,0,1758,1759, 5,108,0,0,1759,1760,5,97,0,0,1760,1761,5,116,0,0,1761,1762,5,101, 0,0,1762,1763,5,95,0,0,1763,1764,5,108,0,0,1764,1765,5,105,0,0,1765, 1766,5,110,0,0,1766,1767,5,101,0,0,1767,1768,5,97,0,0,1768,1769, 5,114,0,0,1769,284,1,0,0,0,1770,1771,5,105,0,0,1771,1772,5,110,0, 0,1772,1773,5,116,0,0,1773,1774,5,101,0,0,1774,1775,5,114,0,0,1775, 1776,5,112,0,0,1776,1777,5,111,0,0,1777,1778,5,108,0,0,1778,1779, 5,97,0,0,1779,1780,5,116,0,0,1780,1781,5,101,0,0,1781,1782,5,95, 0,0,1782,1783,5,97,0,0,1783,1784,5,114,0,0,1784,1785,5,101,0,0,1785, 1786,5,97,0,0,1786,286,1,0,0,0,1787,1788,5,105,0,0,1788,1789,5,110, 0,0,1789,1790,5,116,0,0,1790,1791,5,101,0,0,1791,1792,5,114,0,0, 1792,1793,5,112,0,0,1793,1794,5,111,0,0,1794,1795,5,108,0,0,1795, 1796,5,97,0,0,1796,1797,5,116,0,0,1797,1798,5,101,0,0,1798,1799, 5,95,0,0,1799,1800,5,110,0,0,1800,1801,5,101,0,0,1801,1802,5,97, 0,0,1802,1803,5,114,0,0,1803,1804,5,101,0,0,1804,1805,5,115,0,0, 1805,1832,5,116,0,0,1806,1807,5,105,0,0,1807,1808,5,110,0,0,1808, 1809,5,116,0,0,1809,1810,5,101,0,0,1810,1811,5,114,0,0,1811,1812, 5,112,0,0,1812,1813,5,111,0,0,1813,1814,5,108,0,0,1814,1815,5,97, 0,0,1815,1816,5,116,0,0,1816,1817,5,101,0,0,1817,1818,5,95,0,0,1818, 1819,5,110,0,0,1819,1820,5,101,0,0,1820,1821,5,97,0,0,1821,1822, 5,114,0,0,1822,1823,5,101,0,0,1823,1824,5,115,0,0,1824,1825,5,116, 0,0,1825,1826,5,95,0,0,1826,1827,5,101,0,0,1827,1828,5,120,0,0,1828, 1829,5,97,0,0,1829,1830,5,99,0,0,1830,1832,5,116,0,0,1831,1787,1, 0,0,0,1831,1806,1,0,0,0,1832,288,1,0,0,0,1833,1834,5,116,0,0,1834, 1835,5,101,0,0,1835,1836,5,120,0,0,1836,1837,5,116,0,0,1837,1838, 5,95,0,0,1838,1839,5,105,0,0,1839,1840,5,109,0,0,1840,1841,5,97, 0,0,1841,1842,5,103,0,0,1842,1843,5,101,0,0,1843,290,1,0,0,0,1844, 1845,5,97,0,0,1845,1846,5,115,0,0,1846,1847,5,95,0,0,1847,1848,5, 110,0,0,1848,1849,5,101,0,0,1849,1850,5,115,0,0,1850,1851,5,116, 0,0,1851,1852,5,101,0,0,1852,1853,5,100,0,0,1853,1854,5,95,0,0,1854, 1855,5,116,0,0,1855,1856,5,101,0,0,1856,1857,5,110,0,0,1857,1858, 5,115,0,0,1858,1859,5,111,0,0,1859,1870,5,114,0,0,1860,1861,5,97, 0,0,1861,1862,5,115,0,0,1862,1863,5,95,0,0,1863,1864,5,110,0,0,1864, 1865,5,101,0,0,1865,1866,5,115,0,0,1866,1867,5,116,0,0,1867,1868, 5,101,0,0,1868,1870,5,100,0,0,1869,1844,1,0,0,0,1869,1860,1,0,0, 0,1870,292,1,0,0,0,1871,1872,5,115,0,0,1872,1873,5,118,0,0,1873, 1903,5,100,0,0,1874,1875,5,115,0,0,1875,1876,5,105,0,0,1876,1877, 5,110,0,0,1877,1878,5,103,0,0,1878,1879,5,117,0,0,1879,1880,5,108, 0,0,1880,1881,5,97,0,0,1881,1882,5,114,0,0,1882,1883,5,95,0,0,1883, 1884,5,118,0,0,1884,1885,5,97,0,0,1885,1886,5,108,0,0,1886,1887, 5,117,0,0,1887,1888,5,101,0,0,1888,1889,5,95,0,0,1889,1890,5,100, 0,0,1890,1891,5,101,0,0,1891,1892,5,99,0,0,1892,1893,5,111,0,0,1893, 1894,5,109,0,0,1894,1895,5,112,0,0,1895,1896,5,111,0,0,1896,1897, 5,115,0,0,1897,1898,5,105,0,0,1898,1899,5,116,0,0,1899,1900,5,105, 0,0,1900,1901,5,111,0,0,1901,1903,5,110,0,0,1902,1871,1,0,0,0,1902, 1874,1,0,0,0,1903,294,1,0,0,0,1904,1905,5,100,0,0,1905,1906,5,105, 0,0,1906,1907,5,97,0,0,1907,1908,5,103,0,0,1908,1909,5,111,0,0,1909, 1910,5,110,0,0,1910,1911,5,97,0,0,1911,1912,5,108,0,0,1912,1913, 5,95,0,0,1913,1914,5,109,0,0,1914,1915,5,97,0,0,1915,1916,5,116, 0,0,1916,1917,5,114,0,0,1917,1918,5,105,0,0,1918,1924,5,120,0,0, 1919,1920,5,100,0,0,1920,1921,5,105,0,0,1921,1922,5,97,0,0,1922, 1924,5,103,0,0,1923,1904,1,0,0,0,1923,1919,1,0,0,0,1924,296,1,0, 0,0,1925,1926,5,105,0,0,1926,1927,5,102,0,0,1927,298,1,0,0,0,1928, 1929,5,101,0,0,1929,1930,5,108,0,0,1930,1931,5,115,0,0,1931,1932, 5,101,0,0,1932,300,1,0,0,0,1933,1934,5,119,0,0,1934,1935,5,104,0, 0,1935,1936,5,105,0,0,1936,1937,5,108,0,0,1937,1938,5,101,0,0,1938, 302,1,0,0,0,1939,1940,5,102,0,0,1940,1941,5,111,0,0,1941,1942,5, 114,0,0,1942,304,1,0,0,0,1943,1944,5,105,0,0,1944,1945,5,110,0,0, 1945,306,1,0,0,0,1946,1947,5,98,0,0,1947,1948,5,114,0,0,1948,1949, 5,101,0,0,1949,1950,5,97,0,0,1950,1951,5,107,0,0,1951,308,1,0,0, 0,1952,1953,5,99,0,0,1953,1954,5,111,0,0,1954,1955,5,110,0,0,1955, 1956,5,116,0,0,1956,1957,5,105,0,0,1957,1958,5,110,0,0,1958,1959, 5,117,0,0,1959,1960,5,101,0,0,1960,310,1,0,0,0,1961,1962,5,114,0, 0,1962,1963,5,101,0,0,1963,1964,5,116,0,0,1964,1965,5,117,0,0,1965, 1966,5,114,0,0,1966,1967,5,110,0,0,1967,312,1,0,0,0,1968,1969,5, 116,0,0,1969,1970,5,105,0,0,1970,1971,5,109,0,0,1971,1972,5,101, 0,0,1972,1973,5,115,0,0,1973,1974,5,116,0,0,1974,1975,5,97,0,0,1975, 1976,5,109,0,0,1976,1981,5,112,0,0,1977,1978,5,110,0,0,1978,1979, 5,111,0,0,1979,1981,5,119,0,0,1980,1968,1,0,0,0,1980,1977,1,0,0, 0,1981,314,1,0,0,0,1982,1983,5,115,0,0,1983,1984,5,111,0,0,1984, 1985,5,114,0,0,1985,1986,5,116,0,0,1986,316,1,0,0,0,1987,1988,5, 97,0,0,1988,1989,5,114,0,0,1989,1990,5,103,0,0,1990,1991,5,115,0, 0,1991,1992,5,111,0,0,1992,1993,5,114,0,0,1993,1994,5,116,0,0,1994, 318,1,0,0,0,1995,1996,5,97,0,0,1996,1997,5,114,0,0,1997,1998,5,103, 0,0,1998,1999,5,109,0,0,1999,2000,5,105,0,0,2000,2001,5,110,0,0, 2001,320,1,0,0,0,2002,2003,5,97,0,0,2003,2004,5,114,0,0,2004,2005, 5,103,0,0,2005,2006,5,109,0,0,2006,2007,5,97,0,0,2007,2008,5,120, 0,0,2008,322,1,0,0,0,2009,2010,5,115,0,0,2010,2011,5,111,0,0,2011, 2012,5,102,0,0,2012,2013,5,116,0,0,2013,2014,5,109,0,0,2014,2015, 5,97,0,0,2015,2016,5,120,0,0,2016,324,1,0,0,0,2017,2018,5,115,0, 0,2018,2019,5,111,0,0,2019,2020,5,102,0,0,2020,2021,5,116,0,0,2021, 2022,5,109,0,0,2022,2023,5,105,0,0,2023,2024,5,110,0,0,2024,326, 1,0,0,0,2025,2026,5,117,0,0,2026,2027,5,110,0,0,2027,2028,5,105, 0,0,2028,2029,5,113,0,0,2029,2030,5,117,0,0,2030,2031,5,101,0,0, 2031,328,1,0,0,0,2032,2033,5,102,0,0,2033,2034,5,108,0,0,2034,2035, 5,105,0,0,2035,2036,5,112,0,0,2036,330,1,0,0,0,2037,2038,5,115,0, 0,2038,2039,5,116,0,0,2039,2040,5,97,0,0,2040,2041,5,114,0,0,2041, 2042,5,116,0,0,2042,2043,5,115,0,0,2043,2044,5,119,0,0,2044,2045, 5,105,0,0,2045,2046,5,116,0,0,2046,2047,5,104,0,0,2047,332,1,0,0, 0,2048,2049,5,101,0,0,2049,2050,5,110,0,0,2050,2051,5,100,0,0,2051, 2052,5,115,0,0,2052,2053,5,119,0,0,2053,2054,5,105,0,0,2054,2055, 5,116,0,0,2055,2056,5,104,0,0,2056,334,1,0,0,0,2057,2058,5,115,0, 0,2058,2059,5,113,0,0,2059,2060,5,117,0,0,2060,2061,5,101,0,0,2061, 2062,5,101,0,0,2062,2063,5,122,0,0,2063,2064,5,101,0,0,2064,336, 1,0,0,0,2065,2066,5,117,0,0,2066,2067,5,110,0,0,2067,2068,5,115, 0,0,2068,2069,5,113,0,0,2069,2070,5,117,0,0,2070,2071,5,101,0,0, 2071,2072,5,101,0,0,2072,2073,5,122,0,0,2073,2074,5,101,0,0,2074, 338,1,0,0,0,2075,2076,5,114,0,0,2076,2077,5,111,0,0,2077,2078,5, 108,0,0,2078,2079,5,108,0,0,2079,340,1,0,0,0,2080,2081,5,99,0,0, 2081,2082,5,111,0,0,2082,2083,5,118,0,0,2083,342,1,0,0,0,2084,2085, 5,99,0,0,2085,2086,5,111,0,0,2086,2087,5,114,0,0,2087,2100,5,114, 0,0,2088,2089,5,99,0,0,2089,2090,5,111,0,0,2090,2091,5,114,0,0,2091, 2092,5,114,0,0,2092,2093,5,101,0,0,2093,2094,5,108,0,0,2094,2095, 5,97,0,0,2095,2096,5,116,0,0,2096,2097,5,105,0,0,2097,2098,5,111, 0,0,2098,2100,5,110,0,0,2099,2084,1,0,0,0,2099,2088,1,0,0,0,2100, 344,1,0,0,0,2101,2102,5,101,0,0,2102,2103,5,110,0,0,2103,2104,5, 116,0,0,2104,2105,5,114,0,0,2105,2106,5,111,0,0,2106,2107,5,112, 0,0,2107,2108,5,121,0,0,2108,346,1,0,0,0,2109,2110,5,99,0,0,2110, 2111,5,114,0,0,2111,2112,5,111,0,0,2112,2113,5,112,0,0,2113,348, 1,0,0,0,2114,2115,5,110,0,0,2115,2116,5,111,0,0,2116,2117,5,110, 0,0,2117,2131,5,101,0,0,2118,2119,5,78,0,0,2119,2120,5,111,0,0,2120, 2121,5,110,0,0,2121,2131,5,101,0,0,2122,2123,5,110,0,0,2123,2124, 5,117,0,0,2124,2125,5,108,0,0,2125,2131,5,108,0,0,2126,2127,5,78, 0,0,2127,2128,5,85,0,0,2128,2129,5,76,0,0,2129,2131,5,76,0,0,2130, 2114,1,0,0,0,2130,2118,1,0,0,0,2130,2122,1,0,0,0,2130,2126,1,0,0, 0,2131,350,1,0,0,0,2132,2133,5,99,0,0,2133,2134,5,111,0,0,2134,2135, 5,111,0,0,2135,2136,5,114,0,0,2136,2137,5,100,0,0,2137,2150,5,115, 0,0,2138,2139,5,99,0,0,2139,2140,5,111,0,0,2140,2141,5,111,0,0,2141, 2142,5,114,0,0,2142,2143,5,100,0,0,2143,2144,5,105,0,0,2144,2145, 5,110,0,0,2145,2146,5,97,0,0,2146,2147,5,116,0,0,2147,2148,5,101, 0,0,2148,2150,5,115,0,0,2149,2132,1,0,0,0,2149,2138,1,0,0,0,2150, 352,1,0,0,0,2151,2152,5,110,0,0,2152,2153,5,111,0,0,2153,2154,5, 105,0,0,2154,2155,5,115,0,0,2155,2175,5,101,0,0,2156,2157,5,114, 0,0,2157,2158,5,97,0,0,2158,2159,5,110,0,0,2159,2160,5,100,0,0,2160, 2175,5,110,0,0,2161,2162,5,114,0,0,2162,2163,5,97,0,0,2163,2164, 5,110,0,0,2164,2165,5,100,0,0,2165,2166,5,111,0,0,2166,2167,5,109, 0,0,2167,2168,5,95,0,0,2168,2169,5,110,0,0,2169,2170,5,111,0,0,2170, 2171,5,114,0,0,2171,2172,5,109,0,0,2172,2173,5,97,0,0,2173,2175, 5,108,0,0,2174,2151,1,0,0,0,2174,2156,1,0,0,0,2174,2161,1,0,0,0, 2175,354,1,0,0,0,2176,2177,5,114,0,0,2177,2178,5,97,0,0,2178,2179, 5,110,0,0,2179,2200,5,100,0,0,2180,2181,5,114,0,0,2181,2182,5,97, 0,0,2182,2183,5,110,0,0,2183,2184,5,100,0,0,2184,2200,5,117,0,0, 2185,2186,5,114,0,0,2186,2187,5,97,0,0,2187,2188,5,110,0,0,2188, 2189,5,100,0,0,2189,2190,5,111,0,0,2190,2191,5,109,0,0,2191,2192, 5,95,0,0,2192,2193,5,117,0,0,2193,2194,5,110,0,0,2194,2195,5,105, 0,0,2195,2196,5,102,0,0,2196,2197,5,111,0,0,2197,2198,5,114,0,0, 2198,2200,5,109,0,0,2199,2176,1,0,0,0,2199,2180,1,0,0,0,2199,2185, 1,0,0,0,2200,356,1,0,0,0,2201,2202,5,114,0,0,2202,2203,5,97,0,0, 2203,2204,5,110,0,0,2204,2205,5,100,0,0,2205,2220,5,99,0,0,2206, 2207,5,114,0,0,2207,2208,5,97,0,0,2208,2209,5,110,0,0,2209,2210, 5,100,0,0,2210,2211,5,111,0,0,2211,2212,5,109,0,0,2212,2213,5,95, 0,0,2213,2214,5,99,0,0,2214,2215,5,97,0,0,2215,2216,5,117,0,0,2216, 2217,5,99,0,0,2217,2218,5,104,0,0,2218,2220,5,121,0,0,2219,2201, 1,0,0,0,2219,2206,1,0,0,0,2220,358,1,0,0,0,2221,2222,5,114,0,0,2222, 2223,5,97,0,0,2223,2224,5,110,0,0,2224,2225,5,100,0,0,2225,2245, 5,101,0,0,2226,2227,5,114,0,0,2227,2228,5,97,0,0,2228,2229,5,110, 0,0,2229,2230,5,100,0,0,2230,2231,5,111,0,0,2231,2232,5,109,0,0, 2232,2233,5,95,0,0,2233,2234,5,101,0,0,2234,2235,5,120,0,0,2235, 2236,5,112,0,0,2236,2237,5,111,0,0,2237,2238,5,110,0,0,2238,2239, 5,101,0,0,2239,2240,5,110,0,0,2240,2241,5,116,0,0,2241,2242,5,105, 0,0,2242,2243,5,97,0,0,2243,2245,5,108,0,0,2244,2221,1,0,0,0,2244, 2226,1,0,0,0,2245,360,1,0,0,0,2246,2247,5,114,0,0,2247,2248,5,97, 0,0,2248,2249,5,110,0,0,2249,2250,5,100,0,0,2250,2251,5,108,0,0, 2251,2270,5,110,0,0,2252,2253,5,114,0,0,2253,2254,5,97,0,0,2254, 2255,5,110,0,0,2255,2256,5,100,0,0,2256,2257,5,111,0,0,2257,2258, 5,109,0,0,2258,2259,5,95,0,0,2259,2260,5,108,0,0,2260,2261,5,111, 0,0,2261,2262,5,103,0,0,2262,2263,5,95,0,0,2263,2264,5,110,0,0,2264, 2265,5,111,0,0,2265,2266,5,114,0,0,2266,2267,5,109,0,0,2267,2268, 5,97,0,0,2268,2270,5,108,0,0,2269,2246,1,0,0,0,2269,2252,1,0,0,0, 2270,362,1,0,0,0,2271,2272,5,114,0,0,2272,2273,5,97,0,0,2273,2274, 5,110,0,0,2274,2275,5,100,0,0,2275,2293,5,98,0,0,2276,2277,5,114, 0,0,2277,2278,5,97,0,0,2278,2279,5,110,0,0,2279,2280,5,100,0,0,2280, 2281,5,111,0,0,2281,2282,5,109,0,0,2282,2283,5,95,0,0,2283,2284, 5,98,0,0,2284,2285,5,101,0,0,2285,2286,5,114,0,0,2286,2287,5,110, 0,0,2287,2288,5,111,0,0,2288,2289,5,117,0,0,2289,2290,5,108,0,0, 2290,2291,5,108,0,0,2291,2293,5,105,0,0,2292,2271,1,0,0,0,2292,2276, 1,0,0,0,2293,364,1,0,0,0,2294,2295,5,114,0,0,2295,2296,5,97,0,0, 2296,2297,5,110,0,0,2297,2298,5,100,0,0,2298,2314,5,112,0,0,2299, 2300,5,114,0,0,2300,2301,5,97,0,0,2301,2302,5,110,0,0,2302,2303, 5,100,0,0,2303,2304,5,111,0,0,2304,2305,5,109,0,0,2305,2306,5,95, 0,0,2306,2307,5,112,0,0,2307,2308,5,111,0,0,2308,2309,5,105,0,0, 2309,2310,5,115,0,0,2310,2311,5,115,0,0,2311,2312,5,111,0,0,2312, 2314,5,110,0,0,2313,2294,1,0,0,0,2313,2299,1,0,0,0,2314,366,1,0, 0,0,2315,2316,5,114,0,0,2316,2317,5,97,0,0,2317,2318,5,110,0,0,2318, 2319,5,100,0,0,2319,2333,5,103,0,0,2320,2321,5,114,0,0,2321,2322, 5,97,0,0,2322,2323,5,110,0,0,2323,2324,5,100,0,0,2324,2325,5,111, 0,0,2325,2326,5,109,0,0,2326,2327,5,95,0,0,2327,2328,5,103,0,0,2328, 2329,5,97,0,0,2329,2330,5,109,0,0,2330,2331,5,109,0,0,2331,2333, 5,97,0,0,2332,2315,1,0,0,0,2332,2320,1,0,0,0,2333,368,1,0,0,0,2334, 2335,5,114,0,0,2335,2336,5,97,0,0,2336,2337,5,110,0,0,2337,2338, 5,100,0,0,2338,2339,5,98,0,0,2339,2340,5,101,0,0,2340,2341,5,116, 0,0,2341,2354,5,97,0,0,2342,2343,5,114,0,0,2343,2344,5,97,0,0,2344, 2345,5,110,0,0,2345,2346,5,100,0,0,2346,2347,5,111,0,0,2347,2348, 5,109,0,0,2348,2349,5,95,0,0,2349,2350,5,98,0,0,2350,2351,5,101, 0,0,2351,2352,5,116,0,0,2352,2354,5,97,0,0,2353,2334,1,0,0,0,2353, 2342,1,0,0,0,2354,370,1,0,0,0,2355,2356,5,114,0,0,2356,2357,5,97, 0,0,2357,2358,5,110,0,0,2358,2359,5,100,0,0,2359,2375,5,108,0,0, 2360,2361,5,114,0,0,2361,2362,5,97,0,0,2362,2363,5,110,0,0,2363, 2364,5,100,0,0,2364,2365,5,111,0,0,2365,2366,5,109,0,0,2366,2367, 5,95,0,0,2367,2368,5,108,0,0,2368,2369,5,97,0,0,2369,2370,5,112, 0,0,2370,2371,5,108,0,0,2371,2372,5,97,0,0,2372,2373,5,99,0,0,2373, 2375,5,101,0,0,2374,2355,1,0,0,0,2374,2360,1,0,0,0,2375,372,1,0, 0,0,2376,2377,5,114,0,0,2377,2378,5,97,0,0,2378,2379,5,110,0,0,2379, 2380,5,100,0,0,2380,2381,5,103,0,0,2381,2382,5,117,0,0,2382,2383, 5,109,0,0,2383,2384,5,98,0,0,2384,2385,5,101,0,0,2385,2400,5,108, 0,0,2386,2387,5,114,0,0,2387,2388,5,97,0,0,2388,2389,5,110,0,0,2389, 2390,5,100,0,0,2390,2391,5,111,0,0,2391,2392,5,109,0,0,2392,2393, 5,95,0,0,2393,2394,5,103,0,0,2394,2395,5,117,0,0,2395,2396,5,109, 0,0,2396,2397,5,98,0,0,2397,2398,5,101,0,0,2398,2400,5,108,0,0,2399, 2376,1,0,0,0,2399,2386,1,0,0,0,2400,374,1,0,0,0,2401,2402,5,114, 0,0,2402,2403,5,97,0,0,2403,2404,5,110,0,0,2404,2405,5,100,0,0,2405, 2421,5,119,0,0,2406,2407,5,114,0,0,2407,2408,5,97,0,0,2408,2409, 5,110,0,0,2409,2410,5,100,0,0,2410,2411,5,111,0,0,2411,2412,5,109, 0,0,2412,2413,5,95,0,0,2413,2414,5,119,0,0,2414,2415,5,101,0,0,2415, 2416,5,105,0,0,2416,2417,5,98,0,0,2417,2418,5,117,0,0,2418,2419, 5,108,0,0,2419,2421,5,108,0,0,2420,2401,1,0,0,0,2420,2406,1,0,0, 0,2421,376,1,0,0,0,2422,2423,5,114,0,0,2423,2424,5,97,0,0,2424,2425, 5,110,0,0,2425,2426,5,100,0,0,2426,2427,5,99,0,0,2427,2428,5,104, 0,0,2428,2429,5,105,0,0,2429,2442,5,50,0,0,2430,2431,5,114,0,0,2431, 2432,5,97,0,0,2432,2433,5,110,0,0,2433,2434,5,100,0,0,2434,2435, 5,111,0,0,2435,2436,5,109,0,0,2436,2437,5,95,0,0,2437,2438,5,99, 0,0,2438,2439,5,104,0,0,2439,2440,5,105,0,0,2440,2442,5,50,0,0,2441, 2422,1,0,0,0,2441,2430,1,0,0,0,2442,378,1,0,0,0,2443,2444,5,114, 0,0,2444,2445,5,97,0,0,2445,2446,5,110,0,0,2446,2447,5,100,0,0,2447, 2464,5,116,0,0,2448,2449,5,114,0,0,2449,2450,5,97,0,0,2450,2451, 5,110,0,0,2451,2452,5,100,0,0,2452,2453,5,111,0,0,2453,2454,5,109, 0,0,2454,2455,5,95,0,0,2455,2456,5,115,0,0,2456,2457,5,116,0,0,2457, 2458,5,117,0,0,2458,2459,5,100,0,0,2459,2460,5,101,0,0,2460,2461, 5,110,0,0,2461,2462,5,116,0,0,2462,2464,5,116,0,0,2463,2443,1,0, 0,0,2463,2448,1,0,0,0,2464,380,1,0,0,0,2465,2466,5,112,0,0,2466, 2467,5,101,0,0,2467,2468,5,114,0,0,2468,2469,5,108,0,0,2469,2470, 5,105,0,0,2470,2484,5,110,0,0,2471,2472,5,112,0,0,2472,2473,5,101, 0,0,2473,2474,5,114,0,0,2474,2475,5,108,0,0,2475,2476,5,105,0,0, 2476,2477,5,110,0,0,2477,2478,5,95,0,0,2478,2479,5,110,0,0,2479, 2480,5,111,0,0,2480,2481,5,105,0,0,2481,2482,5,115,0,0,2482,2484, 5,101,0,0,2483,2465,1,0,0,0,2483,2471,1,0,0,0,2484,382,1,0,0,0,2485, 2486,5,99,0,0,2486,2487,5,101,0,0,2487,2488,5,108,0,0,2488,2489, 5,108,0,0,2489,2490,5,117,0,0,2490,2491,5,108,0,0,2491,2492,5,97, 0,0,2492,2534,5,114,0,0,2493,2494,5,118,0,0,2494,2495,5,111,0,0, 2495,2496,5,114,0,0,2496,2497,5,111,0,0,2497,2498,5,110,0,0,2498, 2499,5,111,0,0,2499,2534,5,105,0,0,2500,2501,5,119,0,0,2501,2502, 5,111,0,0,2502,2503,5,114,0,0,2503,2504,5,108,0,0,2504,2505,5,101, 0,0,2505,2534,5,121,0,0,2506,2507,5,99,0,0,2507,2508,5,101,0,0,2508, 2509,5,108,0,0,2509,2510,5,108,0,0,2510,2511,5,117,0,0,2511,2512, 5,108,0,0,2512,2513,5,97,0,0,2513,2514,5,114,0,0,2514,2515,5,95, 0,0,2515,2516,5,110,0,0,2516,2517,5,111,0,0,2517,2518,5,105,0,0, 2518,2519,5,115,0,0,2519,2534,5,101,0,0,2520,2521,5,118,0,0,2521, 2522,5,111,0,0,2522,2523,5,114,0,0,2523,2524,5,111,0,0,2524,2525, 5,110,0,0,2525,2526,5,111,0,0,2526,2527,5,105,0,0,2527,2528,5,95, 0,0,2528,2529,5,110,0,0,2529,2530,5,111,0,0,2530,2531,5,105,0,0, 2531,2532,5,115,0,0,2532,2534,5,101,0,0,2533,2485,1,0,0,0,2533,2493, 1,0,0,0,2533,2500,1,0,0,0,2533,2506,1,0,0,0,2533,2520,1,0,0,0,2534, 384,1,0,0,0,2535,2536,5,112,0,0,2536,2537,5,108,0,0,2537,2538,5, 97,0,0,2538,2539,5,115,0,0,2539,2540,5,109,0,0,2540,2564,5,97,0, 0,2541,2542,5,116,0,0,2542,2543,5,117,0,0,2543,2544,5,114,0,0,2544, 2545,5,98,0,0,2545,2546,5,117,0,0,2546,2547,5,108,0,0,2547,2548, 5,101,0,0,2548,2549,5,110,0,0,2549,2550,5,99,0,0,2550,2564,5,101, 0,0,2551,2552,5,112,0,0,2552,2553,5,108,0,0,2553,2554,5,97,0,0,2554, 2555,5,115,0,0,2555,2556,5,109,0,0,2556,2557,5,97,0,0,2557,2558, 5,95,0,0,2558,2559,5,110,0,0,2559,2560,5,111,0,0,2560,2561,5,105, 0,0,2561,2562,5,115,0,0,2562,2564,5,101,0,0,2563,2535,1,0,0,0,2563, 2541,1,0,0,0,2563,2551,1,0,0,0,2564,386,1,0,0,0,2565,2566,5,114, 0,0,2566,2567,5,105,0,0,2567,2568,5,100,0,0,2568,2569,5,103,0,0, 2569,2570,5,101,0,0,2570,2584,5,100,0,0,2571,2572,5,114,0,0,2572, 2573,5,105,0,0,2573,2574,5,100,0,0,2574,2575,5,103,0,0,2575,2576, 5,101,0,0,2576,2577,5,100,0,0,2577,2578,5,95,0,0,2578,2579,5,110, 0,0,2579,2580,5,111,0,0,2580,2581,5,105,0,0,2581,2582,5,115,0,0, 2582,2584,5,101,0,0,2583,2565,1,0,0,0,2583,2571,1,0,0,0,2584,388, 1,0,0,0,2585,2586,5,100,0,0,2586,2587,5,111,0,0,2587,2588,5,109, 0,0,2588,2589,5,97,0,0,2589,2590,5,105,0,0,2590,2591,5,110,0,0,2591, 2592,5,95,0,0,2592,2593,5,119,0,0,2593,2594,5,97,0,0,2594,2595,5, 114,0,0,2595,2614,5,112,0,0,2596,2597,5,100,0,0,2597,2598,5,111, 0,0,2598,2599,5,109,0,0,2599,2600,5,97,0,0,2600,2601,5,105,0,0,2601, 2602,5,110,0,0,2602,2603,5,95,0,0,2603,2604,5,119,0,0,2604,2605, 5,97,0,0,2605,2606,5,114,0,0,2606,2607,5,112,0,0,2607,2608,5,95, 0,0,2608,2609,5,110,0,0,2609,2610,5,111,0,0,2610,2611,5,105,0,0, 2611,2612,5,115,0,0,2612,2614,5,101,0,0,2613,2585,1,0,0,0,2613,2596, 1,0,0,0,2614,390,1,0,0,0,2615,2616,5,43,0,0,2616,392,1,0,0,0,2617, 2618,5,45,0,0,2618,394,1,0,0,0,2619,2620,5,42,0,0,2620,396,1,0,0, 0,2621,2622,5,47,0,0,2622,398,1,0,0,0,2623,2624,5,37,0,0,2624,400, 1,0,0,0,2625,2626,5,94,0,0,2626,402,1,0,0,0,2627,2628,5,60,0,0,2628, 2629,5,60,0,0,2629,404,1,0,0,0,2630,2631,5,62,0,0,2631,2632,5,62, 0,0,2632,406,1,0,0,0,2633,2634,5,62,0,0,2634,2635,5,61,0,0,2635, 408,1,0,0,0,2636,2637,5,62,0,0,2637,410,1,0,0,0,2638,2639,5,60,0, 0,2639,2640,5,61,0,0,2640,412,1,0,0,0,2641,2642,5,60,0,0,2642,414, 1,0,0,0,2643,2644,5,61,0,0,2644,2645,5,61,0,0,2645,416,1,0,0,0,2646, 2647,5,61,0,0,2647,418,1,0,0,0,2648,2649,5,43,0,0,2649,2650,5,61, 0,0,2650,420,1,0,0,0,2651,2652,5,45,0,0,2652,2653,5,61,0,0,2653, 422,1,0,0,0,2654,2655,5,42,0,0,2655,2656,5,61,0,0,2656,424,1,0,0, 0,2657,2658,5,47,0,0,2658,2659,5,61,0,0,2659,426,1,0,0,0,2660,2661, 5,37,0,0,2661,2662,5,61,0,0,2662,428,1,0,0,0,2663,2664,5,33,0,0, 2664,2665,5,61,0,0,2665,430,1,0,0,0,2666,2667,5,124,0,0,2667,432, 1,0,0,0,2668,2669,5,40,0,0,2669,434,1,0,0,0,2670,2671,5,41,0,0,2671, 436,1,0,0,0,2672,2673,5,44,0,0,2673,438,1,0,0,0,2674,2675,5,59,0, 0,2675,440,1,0,0,0,2676,2677,5,45,0,0,2677,2678,5,62,0,0,2678,442, 1,0,0,0,2679,2680,5,91,0,0,2680,444,1,0,0,0,2681,2682,5,93,0,0,2682, 446,1,0,0,0,2683,2684,5,63,0,0,2684,448,1,0,0,0,2685,2686,5,58,0, 0,2686,450,1,0,0,0,2687,2688,5,123,0,0,2688,452,1,0,0,0,2689,2690, 5,125,0,0,2690,454,1,0,0,0,2691,2693,7,0,0,0,2692,2691,1,0,0,0,2693, 2694,1,0,0,0,2694,2692,1,0,0,0,2694,2695,1,0,0,0,2695,2703,1,0,0, 0,2696,2700,5,46,0,0,2697,2699,7,0,0,0,2698,2697,1,0,0,0,2699,2702, 1,0,0,0,2700,2698,1,0,0,0,2700,2701,1,0,0,0,2701,2704,1,0,0,0,2702, 2700,1,0,0,0,2703,2696,1,0,0,0,2703,2704,1,0,0,0,2704,2712,1,0,0, 0,2705,2707,5,46,0,0,2706,2708,7,0,0,0,2707,2706,1,0,0,0,2708,2709, 1,0,0,0,2709,2707,1,0,0,0,2709,2710,1,0,0,0,2710,2712,1,0,0,0,2711, 2692,1,0,0,0,2711,2705,1,0,0,0,2712,2722,1,0,0,0,2713,2715,7,1,0, 0,2714,2716,7,2,0,0,2715,2714,1,0,0,0,2715,2716,1,0,0,0,2716,2718, 1,0,0,0,2717,2719,7,0,0,0,2718,2717,1,0,0,0,2719,2720,1,0,0,0,2720, 2718,1,0,0,0,2720,2721,1,0,0,0,2721,2723,1,0,0,0,2722,2713,1,0,0, 0,2722,2723,1,0,0,0,2723,456,1,0,0,0,2724,2725,5,112,0,0,2725,2730, 5,105,0,0,2726,2727,5,80,0,0,2727,2730,5,73,0,0,2728,2730,7,1,0, 0,2729,2724,1,0,0,0,2729,2726,1,0,0,0,2729,2728,1,0,0,0,2730,458, 1,0,0,0,2731,2737,5,34,0,0,2732,2736,8,3,0,0,2733,2734,5,92,0,0, 2734,2736,9,0,0,0,2735,2732,1,0,0,0,2735,2733,1,0,0,0,2736,2739, 1,0,0,0,2737,2735,1,0,0,0,2737,2738,1,0,0,0,2738,2740,1,0,0,0,2739, 2737,1,0,0,0,2740,2752,5,34,0,0,2741,2747,5,39,0,0,2742,2746,8,4, 0,0,2743,2744,5,92,0,0,2744,2746,9,0,0,0,2745,2742,1,0,0,0,2745, 2743,1,0,0,0,2746,2749,1,0,0,0,2747,2745,1,0,0,0,2747,2748,1,0,0, 0,2748,2750,1,0,0,0,2749,2747,1,0,0,0,2750,2752,5,39,0,0,2751,2731, 1,0,0,0,2751,2741,1,0,0,0,2752,460,1,0,0,0,2753,2757,7,5,0,0,2754, 2756,7,6,0,0,2755,2754,1,0,0,0,2756,2759,1,0,0,0,2757,2755,1,0,0, 0,2757,2758,1,0,0,0,2758,462,1,0,0,0,2759,2757,1,0,0,0,2760,2764, 5,35,0,0,2761,2763,8,7,0,0,2762,2761,1,0,0,0,2763,2766,1,0,0,0,2764, 2762,1,0,0,0,2764,2765,1,0,0,0,2765,2767,1,0,0,0,2766,2764,1,0,0, 0,2767,2768,6,231,0,0,2768,464,1,0,0,0,2769,2770,5,47,0,0,2770,2771, 5,42,0,0,2771,2775,1,0,0,0,2772,2774,9,0,0,0,2773,2772,1,0,0,0,2774, 2777,1,0,0,0,2775,2776,1,0,0,0,2775,2773,1,0,0,0,2776,2778,1,0,0, 0,2777,2775,1,0,0,0,2778,2779,5,42,0,0,2779,2780,5,47,0,0,2780,2781, 1,0,0,0,2781,2782,6,232,0,0,2782,466,1,0,0,0,2783,2785,7,8,0,0,2784, 2783,1,0,0,0,2785,2786,1,0,0,0,2786,2784,1,0,0,0,2786,2787,1,0,0, 0,2787,2788,1,0,0,0,2788,2789,6,233,0,0,2789,468,1,0,0,0,75,0,661, 676,752,769,787,800,873,890,948,997,1019,1036,1057,1072,1099,1130, 1146,1222,1272,1292,1313,1360,1384,1407,1424,1439,1472,1547,1602, 1831,1869,1902,1923,1980,2099,2130,2149,2174,2199,2219,2244,2269, 2292,2313,2332,2353,2374,2399,2420,2441,2463,2483,2533,2563,2583, 2613,2694,2700,2703,2709,2711,2715,2720,2722,2729,2735,2737,2745, 2747,2751,2757,2764,2775,2786,1,6,0,0 ] 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 KEYS = 87 REPEAT = 88 FLATTEN = 89 APPEND = 90 GET_VALUE = 91 FLOW_APPLY = 92 BATCH_SHUFFLE = 93 MOTION_MASK = 94 FLOW_TO_IMAGE = 95 FLOW_MAG = 96 FLOW_ANG = 97 WHERE = 98 HISTOGRAM = 99 OVERLAY = 100 PAD = 101 CROSS = 102 MATMUL = 103 RIFE = 104 BNOT = 105 BITCOUNT = 106 SHAPE = 107 BAND = 108 XOR = 109 BOR = 110 TENSOR = 111 ADD_KEY = 112 REMOVE_KEY = 113 PUSH = 114 POP = 115 CLEAR = 116 HAS = 117 GET = 118 CONCAT = 119 INT = 120 FLOAT = 121 UPPER = 122 LOWER = 123 TRIM = 124 SPLIT = 125 JOIN = 126 SUBSTRING = 127 FIND = 128 REPLACE = 129 DILATE = 130 ERODE = 131 MORPH_OPEN = 132 MORPH_CLOSE = 133 RGB_TO_OKLAB = 134 RGB_TO_CIELAB = 135 OKLAB_TO_RGB = 136 CIELAB_TO_RGB = 137 RGB_TO_HSV = 138 HSV_TO_RGB = 139 INT_TO_RGB = 140 RGB_TO_INT = 141 INTERPOLATE_LINEAR = 142 INTERPOLATE_AREA = 143 INTERPOLATE_NEAREST = 144 TEXT_IMAGE = 145 AS_NESTED = 146 SVD = 147 DIAG = 148 IF = 149 ELSE = 150 WHILE = 151 FOR = 152 IN = 153 BREAK = 154 CONTINUE = 155 RETURN = 156 TIMESTAMP = 157 SORT = 158 ARGSORT = 159 ARGMIN = 160 ARGMAX = 161 SOFTMAX = 162 SOFTMIN = 163 UNIQUE = 164 FLIP = 165 STARTSWITH = 166 ENDSWITH = 167 SQUEEZE = 168 UNSQUEEZE = 169 ROLL = 170 COV = 171 CORR = 172 ENTROPY = 173 CROP = 174 NONE = 175 COORDS = 176 NOISE = 177 RAND = 178 CAUCHY = 179 EXPONENTIAL = 180 LOGNORMAL = 181 BERNOULLI = 182 POISSON = 183 GAMMADIST = 184 BETADIST = 185 LAPLACEDIST = 186 GUMBELDIST = 187 WEIBULLDIST = 188 CHI2DIST = 189 STUDENTTDIST = 190 PERLIN = 191 CELLULAR = 192 PLASMA = 193 RIDGED = 194 DOMAIN_WARP = 195 PLUS = 196 MINUS = 197 MULT = 198 DIV = 199 MOD = 200 POW = 201 LSHIFT = 202 RSHIFT = 203 GE = 204 GT = 205 LE = 206 LT = 207 EQ = 208 EQUEALS = 209 PLUS_EQ = 210 MINUS_EQ = 211 MULT_EQ = 212 DIV_EQ = 213 MOD_EQ = 214 NE = 215 PIPE = 216 LPAREN = 217 RPAREN = 218 COMMA = 219 SEMICOLON = 220 ARROW = 221 LBRACKET = 222 RBRACKET = 223 QUESTION = 224 COLON = 225 LBRACE = 226 RBRACE = 227 NUMBER = 228 CONSTANT = 229 STRING = 230 VARIABLE = 231 SL_COMMENT = 232 ML_COMMENT = 233 WS = 234 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'", "'keys'", "'repeat'", "'flatten'", "'append'", "'get_value'", "'flow_apply'", "'motion_mask'", "'flow_to_image'", "'where'", "'overlay'", "'pad'", "'cross'", "'matmul'", "'rife'", "'shape'", "'tensor'", "'add_key'", "'stack_push'", "'stack_pop'", "'stack_clear'", "'stack_has'", "'stack_get'", "'int'", "'float'", "'upper'", "'lower'", "'trim'", "'split'", "'join'", "'find'", "'replace'", "'dilate'", "'erode'", "'morph_open'", "'morph_close'", "'rgb_to_oklab'", "'rgb_to_cielab'", "'oklab_to_rgb'", "'cielab_to_rgb'", "'rgb_to_hsv'", "'hsv_to_rgb'", "'int_to_rgb'", "'rgb_to_int'", "'interpolate_linear'", "'interpolate_area'", "'text_image'", "'if'", "'else'", "'while'", "'for'", "'in'", "'break'", "'continue'", "'return'", "'sort'", "'argsort'", "'argmin'", "'argmax'", "'softmax'", "'softmin'", "'unique'", "'flip'", "'startswith'", "'endswith'", "'squeeze'", "'unsqueeze'", "'roll'", "'cov'", "'entropy'", "'crop'", "'+'", "'-'", "'*'", "'/'", "'%'", "'^'", "'<<'", "'>>'", "'>='", "'>'", "'<='", "'<'", "'=='", "'='", "'+='", "'-='", "'*='", "'/='", "'%='", "'!='", "'|'", "'('", "')'", "','", "';'", "'->'", "'['", "']'", "'?'", "':'", "'{'", "'}'" ] symbolicNames = [ "", "SIN", "COS", "TAN", "ASIN", "ACOS", "ATAN", "ATAN2", "SINH", "COSH", "TANH", "ASINH", "ACOSH", "ATANH", "ABS", "SQRT", "LN", "LOG", "EXP", "SMIN", "SMAX", "TMIN", "TMAX", "TNORM", "SNORM", "FLOOR", "CEIL", "ROUND", "GAMMA", "POWE", "SIGM", "CLAMP", "SFFT", "SIFFT", "ANGL", "PRNT", "PRINT_SHAPE", "NVL", "LERP", "STEP", "SMOOTHSTEP", "FRACT", "RELU", "SOFTPLUS", "GELU", "SIGN", "MAP", "EZCONV", "CONV", "SWAP", "PERM", "RESHAPE", "RANGE", "LINSPACE", "LOGSPACE", "TOPK", "BOTK", "PINV", "SUM", "MEAN", "STD", "VAR", "QUARTILE", "PERCENTILE", "QUANTILE", "DOT", "MOMENT", "ERF", "ERFINV", "ANY", "ALL", "EDGE", "GAUSSIAN", "MEDIAN", "MODE", "CUMSUM", "CUMPROD", "TOPK_IND", "BOTK_IND", "CUBIC_EASE", "ELASTIC_EASE", "SINE_EASE", "SMOOTHERSTEP", "DIST", "REMAP", "COSSIM", "COUNT", "KEYS", "REPEAT", "FLATTEN", "APPEND", "GET_VALUE", "FLOW_APPLY", "BATCH_SHUFFLE", "MOTION_MASK", "FLOW_TO_IMAGE", "FLOW_MAG", "FLOW_ANG", "WHERE", "HISTOGRAM", "OVERLAY", "PAD", "CROSS", "MATMUL", "RIFE", "BNOT", "BITCOUNT", "SHAPE", "BAND", "XOR", "BOR", "TENSOR", "ADD_KEY", "REMOVE_KEY", "PUSH", "POP", "CLEAR", "HAS", "GET", "CONCAT", "INT", "FLOAT", "UPPER", "LOWER", "TRIM", "SPLIT", "JOIN", "SUBSTRING", "FIND", "REPLACE", "DILATE", "ERODE", "MORPH_OPEN", "MORPH_CLOSE", "RGB_TO_OKLAB", "RGB_TO_CIELAB", "OKLAB_TO_RGB", "CIELAB_TO_RGB", "RGB_TO_HSV", "HSV_TO_RGB", "INT_TO_RGB", "RGB_TO_INT", "INTERPOLATE_LINEAR", "INTERPOLATE_AREA", "INTERPOLATE_NEAREST", "TEXT_IMAGE", "AS_NESTED", "SVD", "DIAG", "IF", "ELSE", "WHILE", "FOR", "IN", "BREAK", "CONTINUE", "RETURN", "TIMESTAMP", "SORT", "ARGSORT", "ARGMIN", "ARGMAX", "SOFTMAX", "SOFTMIN", "UNIQUE", "FLIP", "STARTSWITH", "ENDSWITH", "SQUEEZE", "UNSQUEEZE", "ROLL", "COV", "CORR", "ENTROPY", "CROP", "NONE", "COORDS", "NOISE", "RAND", "CAUCHY", "EXPONENTIAL", "LOGNORMAL", "BERNOULLI", "POISSON", "GAMMADIST", "BETADIST", "LAPLACEDIST", "GUMBELDIST", "WEIBULLDIST", "CHI2DIST", "STUDENTTDIST", "PERLIN", "CELLULAR", "PLASMA", "RIDGED", "DOMAIN_WARP", "PLUS", "MINUS", "MULT", "DIV", "MOD", "POW", "LSHIFT", "RSHIFT", "GE", "GT", "LE", "LT", "EQ", "EQUEALS", "PLUS_EQ", "MINUS_EQ", "MULT_EQ", "DIV_EQ", "MOD_EQ", "NE", "PIPE", "LPAREN", "RPAREN", "COMMA", "SEMICOLON", "ARROW", "LBRACKET", "RBRACKET", "QUESTION", "COLON", "LBRACE", "RBRACE", "NUMBER", "CONSTANT", "STRING", "VARIABLE", "SL_COMMENT", "ML_COMMENT", "WS" ] ruleNames = [ "SIN", "COS", "TAN", "ASIN", "ACOS", "ATAN", "ATAN2", "SINH", "COSH", "TANH", "ASINH", "ACOSH", "ATANH", "ABS", "SQRT", "LN", "LOG", "EXP", "SMIN", "SMAX", "TMIN", "TMAX", "TNORM", "SNORM", "FLOOR", "CEIL", "ROUND", "GAMMA", "POWE", "SIGM", "CLAMP", "SFFT", "SIFFT", "ANGL", "PRNT", "PRINT_SHAPE", "NVL", "LERP", "STEP", "SMOOTHSTEP", "FRACT", "RELU", "SOFTPLUS", "GELU", "SIGN", "MAP", "EZCONV", "CONV", "SWAP", "PERM", "RESHAPE", "RANGE", "LINSPACE", "LOGSPACE", "TOPK", "BOTK", "PINV", "SUM", "MEAN", "STD", "VAR", "QUARTILE", "PERCENTILE", "QUANTILE", "DOT", "MOMENT", "ERF", "ERFINV", "ANY", "ALL", "EDGE", "GAUSSIAN", "MEDIAN", "MODE", "CUMSUM", "CUMPROD", "TOPK_IND", "BOTK_IND", "CUBIC_EASE", "ELASTIC_EASE", "SINE_EASE", "SMOOTHERSTEP", "DIST", "REMAP", "COSSIM", "COUNT", "KEYS", "REPEAT", "FLATTEN", "APPEND", "GET_VALUE", "FLOW_APPLY", "BATCH_SHUFFLE", "MOTION_MASK", "FLOW_TO_IMAGE", "FLOW_MAG", "FLOW_ANG", "WHERE", "HISTOGRAM", "OVERLAY", "PAD", "CROSS", "MATMUL", "RIFE", "BNOT", "BITCOUNT", "SHAPE", "BAND", "XOR", "BOR", "TENSOR", "ADD_KEY", "REMOVE_KEY", "PUSH", "POP", "CLEAR", "HAS", "GET", "CONCAT", "INT", "FLOAT", "UPPER", "LOWER", "TRIM", "SPLIT", "JOIN", "SUBSTRING", "FIND", "REPLACE", "DILATE", "ERODE", "MORPH_OPEN", "MORPH_CLOSE", "RGB_TO_OKLAB", "RGB_TO_CIELAB", "OKLAB_TO_RGB", "CIELAB_TO_RGB", "RGB_TO_HSV", "HSV_TO_RGB", "INT_TO_RGB", "RGB_TO_INT", "INTERPOLATE_LINEAR", "INTERPOLATE_AREA", "INTERPOLATE_NEAREST", "TEXT_IMAGE", "AS_NESTED", "SVD", "DIAG", "IF", "ELSE", "WHILE", "FOR", "IN", "BREAK", "CONTINUE", "RETURN", "TIMESTAMP", "SORT", "ARGSORT", "ARGMIN", "ARGMAX", "SOFTMAX", "SOFTMIN", "UNIQUE", "FLIP", "STARTSWITH", "ENDSWITH", "SQUEEZE", "UNSQUEEZE", "ROLL", "COV", "CORR", "ENTROPY", "CROP", "NONE", "COORDS", "NOISE", "RAND", "CAUCHY", "EXPONENTIAL", "LOGNORMAL", "BERNOULLI", "POISSON", "GAMMADIST", "BETADIST", "LAPLACEDIST", "GUMBELDIST", "WEIBULLDIST", "CHI2DIST", "STUDENTTDIST", "PERLIN", "CELLULAR", "PLASMA", "RIDGED", "DOMAIN_WARP", "PLUS", "MINUS", "MULT", "DIV", "MOD", "POW", "LSHIFT", "RSHIFT", "GE", "GT", "LE", "LT", "EQ", "EQUEALS", "PLUS_EQ", "MINUS_EQ", "MULT_EQ", "DIV_EQ", "MOD_EQ", "NE", "PIPE", "LPAREN", "RPAREN", "COMMA", "SEMICOLON", "ARROW", "LBRACKET", "RBRACKET", "QUESTION", "COLON", "LBRACE", "RBRACE", "NUMBER", "CONSTANT", "STRING", "VARIABLE", "SL_COMMENT", "ML_COMMENT", "WS" ] grammarFileName = "MathExpr.g4" def __init__(self, input=None, output:TextIO = sys.stdout): super().__init__(input, output) self.checkVersion("4.13.2") self._interp = LexerATNSimulator(self, self.atn, self.decisionsToDFA, PredictionContextCache()) self._actions = None self._predicates = None