# 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 [ 4,0,136,1408,6,-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, 2,131,7,131,2,132,7,132,2,133,7,133,2,134,7,134,2,135,7,135,1,0, 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, 3,35,466,8,35,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36, 1,36,1,36,1,36,3,36,481,8,36,1,37,1,37,1,37,1,37,1,37,1,38,1,38, 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, 1,46,1,46,3,46,557,8,46,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47, 1,47,1,47,1,47,1,47,1,47,1,47,1,47,3,47,574,8,47,1,48,1,48,1,48, 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, 3,49,592,8,49,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50, 1,50,3,50,605,8,50,1,51,1,51,1,51,1,51,1,51,1,51,1,52,1,52,1,52, 1,52,1,52,1,53,1,53,1,53,1,53,1,53,1,54,1,54,1,54,1,54,1,54,1,55, 1,55,1,55,1,55,1,56,1,56,1,56,1,56,1,56,1,57,1,57,1,57,1,57,1,58, 1,58,1,58,1,58,1,59,1,59,1,59,1,59,1,59,1,59,1,59,1,59,1,59,1,59, 1,59,1,59,1,59,1,59,1,59,3,59,660,8,59,1,60,1,60,1,60,1,60,1,60, 1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,3,60,677,8,60, 1,61,1,61,1,61,1,61,1,61,1,61,1,61,1,61,1,61,1,62,1,62,1,62,1,62, 1,63,1,63,1,63,1,63,1,63,1,63,1,63,1,64,1,64,1,64,1,64,1,65,1,65, 1,65,1,65,1,66,1,66,1,66,1,66,1,66,1,67,1,67,1,67,1,67,1,67,1,67, 1,67,1,67,1,67,1,67,1,67,1,67,3,67,724,8,67,1,68,1,68,1,68,1,68, 1,68,1,68,1,68,1,69,1,69,1,69,1,69,1,69,1,70,1,70,1,70,1,70,1,70, 1,70,1,70,1,71,1,71,1,71,1,71,1,71,1,71,1,71,1,71,1,72,1,72,1,72, 1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,72, 1,72,1,72,1,72,1,72,3,72,773,8,72,1,73,1,73,1,73,1,73,1,73,1,73, 1,73,1,73,1,73,1,73,1,73,1,73,1,73,1,73,1,73,1,73,1,73,1,73,1,73, 1,73,3,73,795,8,73,1,74,1,74,1,74,1,74,1,74,1,74,1,74,1,74,1,74, 1,74,1,74,1,74,1,74,1,74,1,74,3,74,812,8,74,1,75,1,75,1,75,1,75, 1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75, 1,75,1,75,3,75,833,8,75,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76, 1,76,1,76,1,76,1,76,1,76,3,76,848,8,76,1,77,1,77,1,77,1,77,1,77, 1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,78,1,78,1,78,1,78,1,78, 1,78,1,78,1,78,1,78,1,78,1,78,1,78,3,78,875,8,78,1,79,1,79,1,79, 1,79,1,79,1,79,1,80,1,80,1,80,1,81,1,81,1,81,1,81,1,81,1,82,1,82, 1,82,1,82,1,82,1,82,1,83,1,83,1,83,1,83,1,83,1,83,1,83,1,84,1,84, 1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,85,1,85,1,85,1,85, 1,85,1,85,1,85,1,85,1,85,1,85,1,86,1,86,1,86,1,86,1,86,1,86,1,86, 1,86,1,86,1,86,1,86,1,86,1,87,1,87,1,87,1,87,1,87,1,87,1,87,1,87, 1,87,1,87,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,89, 1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89, 1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,3,89,980,8,89,1,90, 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, 1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,3,90,1005,8,90,1,91, 1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,91, 1,91,1,91,1,91,1,91,3,91,1025,8,91,1,92,1,92,1,92,1,92,1,92,1,92, 1,92,1,92,1,92,1,92,1,92,1,92,1,92,1,92,1,92,1,92,1,92,1,92,1,92, 1,92,1,92,1,92,1,92,3,92,1050,8,92,1,93,1,93,1,93,1,93,1,93,1,93, 1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,93, 1,93,1,93,1,93,1,93,3,93,1075,8,93,1,94,1,94,1,94,1,94,1,94,1,94, 1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94, 1,94,1,94,3,94,1098,8,94,1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,95, 1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,95,3,95,1119, 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, 1,96,1,96,1,96,1,96,1,96,3,96,1138,8,96,1,97,1,97,1,97,1,97,1,97, 1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,97, 1,97,3,97,1159,8,97,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98, 1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98,3,98,1180,8,98, 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, 1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,3,99,1205,8,99, 1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100, 1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,3,100,1226,8,100, 1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101, 1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,3,101,1247,8,101, 1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102, 1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102,3,102,1269, 8,102,1,103,1,103,1,104,1,104,1,105,1,105,1,106,1,106,1,107,1,107, 1,108,1,108,1,109,1,109,1,109,1,110,1,110,1,110,1,111,1,111,1,111, 1,112,1,112,1,113,1,113,1,113,1,114,1,114,1,115,1,115,1,115,1,116, 1,116,1,117,1,117,1,117,1,118,1,118,1,119,1,119,1,120,1,120,1,121, 1,121,1,122,1,122,1,123,1,123,1,123,1,124,1,124,1,125,1,125,1,126, 1,126,1,127,1,127,1,128,1,128,1,129,1,129,1,130,4,130,1333,8,130, 11,130,12,130,1334,1,130,1,130,5,130,1339,8,130,10,130,12,130,1342, 9,130,3,130,1344,8,130,1,130,1,130,4,130,1348,8,130,11,130,12,130, 1349,3,130,1352,8,130,1,130,1,130,3,130,1356,8,130,1,130,4,130,1359, 8,130,11,130,12,130,1360,3,130,1363,8,130,1,131,1,131,1,131,1,131, 1,131,3,131,1370,8,131,1,132,1,132,5,132,1374,8,132,10,132,12,132, 1377,9,132,1,133,1,133,5,133,1381,8,133,10,133,12,133,1384,9,133, 1,133,1,133,1,134,1,134,1,134,1,134,5,134,1392,8,134,10,134,12,134, 1395,9,134,1,134,1,134,1,134,1,134,1,134,1,135,4,135,1403,8,135, 11,135,12,135,1404,1,135,1,135,1,1393,0,136,1,1,3,2,5,3,7,4,9,5, 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, 130,261,131,263,132,265,133,267,134,269,135,271,136,1,0,7,1,0,48, 57,2,0,69,69,101,101,2,0,43,43,45,45,3,0,65,90,95,95,97,122,4,0, 48,57,65,90,95,95,97,122,2,0,10,10,13,13,3,0,9,10,13,13,32,32,1452, 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, 267,1,0,0,0,0,269,1,0,0,0,0,271,1,0,0,0,1,273,1,0,0,0,3,277,1,0, 0,0,5,281,1,0,0,0,7,285,1,0,0,0,9,290,1,0,0,0,11,295,1,0,0,0,13, 300,1,0,0,0,15,306,1,0,0,0,17,311,1,0,0,0,19,316,1,0,0,0,21,321, 1,0,0,0,23,327,1,0,0,0,25,333,1,0,0,0,27,339,1,0,0,0,29,343,1,0, 0,0,31,348,1,0,0,0,33,351,1,0,0,0,35,355,1,0,0,0,37,359,1,0,0,0, 39,364,1,0,0,0,41,369,1,0,0,0,43,374,1,0,0,0,45,379,1,0,0,0,47,385, 1,0,0,0,49,391,1,0,0,0,51,397,1,0,0,0,53,402,1,0,0,0,55,408,1,0, 0,0,57,414,1,0,0,0,59,418,1,0,0,0,61,423,1,0,0,0,63,429,1,0,0,0, 65,433,1,0,0,0,67,438,1,0,0,0,69,444,1,0,0,0,71,465,1,0,0,0,73,480, 1,0,0,0,75,482,1,0,0,0,77,487,1,0,0,0,79,492,1,0,0,0,81,503,1,0, 0,0,83,509,1,0,0,0,85,514,1,0,0,0,87,523,1,0,0,0,89,528,1,0,0,0, 91,533,1,0,0,0,93,556,1,0,0,0,95,573,1,0,0,0,97,575,1,0,0,0,99,591, 1,0,0,0,101,604,1,0,0,0,103,606,1,0,0,0,105,612,1,0,0,0,107,617, 1,0,0,0,109,622,1,0,0,0,111,627,1,0,0,0,113,631,1,0,0,0,115,636, 1,0,0,0,117,640,1,0,0,0,119,659,1,0,0,0,121,676,1,0,0,0,123,678, 1,0,0,0,125,687,1,0,0,0,127,691,1,0,0,0,129,698,1,0,0,0,131,702, 1,0,0,0,133,706,1,0,0,0,135,723,1,0,0,0,137,725,1,0,0,0,139,732, 1,0,0,0,141,737,1,0,0,0,143,744,1,0,0,0,145,772,1,0,0,0,147,794, 1,0,0,0,149,811,1,0,0,0,151,832,1,0,0,0,153,847,1,0,0,0,155,849, 1,0,0,0,157,874,1,0,0,0,159,876,1,0,0,0,161,882,1,0,0,0,163,885, 1,0,0,0,165,890,1,0,0,0,167,896,1,0,0,0,169,903,1,0,0,0,171,914, 1,0,0,0,173,924,1,0,0,0,175,936,1,0,0,0,177,946,1,0,0,0,179,979, 1,0,0,0,181,1004,1,0,0,0,183,1024,1,0,0,0,185,1049,1,0,0,0,187,1074, 1,0,0,0,189,1097,1,0,0,0,191,1118,1,0,0,0,193,1137,1,0,0,0,195,1158, 1,0,0,0,197,1179,1,0,0,0,199,1204,1,0,0,0,201,1225,1,0,0,0,203,1246, 1,0,0,0,205,1268,1,0,0,0,207,1270,1,0,0,0,209,1272,1,0,0,0,211,1274, 1,0,0,0,213,1276,1,0,0,0,215,1278,1,0,0,0,217,1280,1,0,0,0,219,1282, 1,0,0,0,221,1285,1,0,0,0,223,1288,1,0,0,0,225,1291,1,0,0,0,227,1293, 1,0,0,0,229,1296,1,0,0,0,231,1298,1,0,0,0,233,1301,1,0,0,0,235,1303, 1,0,0,0,237,1306,1,0,0,0,239,1308,1,0,0,0,241,1310,1,0,0,0,243,1312, 1,0,0,0,245,1314,1,0,0,0,247,1316,1,0,0,0,249,1319,1,0,0,0,251,1321, 1,0,0,0,253,1323,1,0,0,0,255,1325,1,0,0,0,257,1327,1,0,0,0,259,1329, 1,0,0,0,261,1351,1,0,0,0,263,1369,1,0,0,0,265,1371,1,0,0,0,267,1378, 1,0,0,0,269,1387,1,0,0,0,271,1402,1,0,0,0,273,274,5,115,0,0,274, 275,5,105,0,0,275,276,5,110,0,0,276,2,1,0,0,0,277,278,5,99,0,0,278, 279,5,111,0,0,279,280,5,115,0,0,280,4,1,0,0,0,281,282,5,116,0,0, 282,283,5,97,0,0,283,284,5,110,0,0,284,6,1,0,0,0,285,286,5,97,0, 0,286,287,5,115,0,0,287,288,5,105,0,0,288,289,5,110,0,0,289,8,1, 0,0,0,290,291,5,97,0,0,291,292,5,99,0,0,292,293,5,111,0,0,293,294, 5,115,0,0,294,10,1,0,0,0,295,296,5,97,0,0,296,297,5,116,0,0,297, 298,5,97,0,0,298,299,5,110,0,0,299,12,1,0,0,0,300,301,5,97,0,0,301, 302,5,116,0,0,302,303,5,97,0,0,303,304,5,110,0,0,304,305,5,50,0, 0,305,14,1,0,0,0,306,307,5,115,0,0,307,308,5,105,0,0,308,309,5,110, 0,0,309,310,5,104,0,0,310,16,1,0,0,0,311,312,5,99,0,0,312,313,5, 111,0,0,313,314,5,115,0,0,314,315,5,104,0,0,315,18,1,0,0,0,316,317, 5,116,0,0,317,318,5,97,0,0,318,319,5,110,0,0,319,320,5,104,0,0,320, 20,1,0,0,0,321,322,5,97,0,0,322,323,5,115,0,0,323,324,5,105,0,0, 324,325,5,110,0,0,325,326,5,104,0,0,326,22,1,0,0,0,327,328,5,97, 0,0,328,329,5,99,0,0,329,330,5,111,0,0,330,331,5,115,0,0,331,332, 5,104,0,0,332,24,1,0,0,0,333,334,5,97,0,0,334,335,5,116,0,0,335, 336,5,97,0,0,336,337,5,110,0,0,337,338,5,104,0,0,338,26,1,0,0,0, 339,340,5,97,0,0,340,341,5,98,0,0,341,342,5,115,0,0,342,28,1,0,0, 0,343,344,5,115,0,0,344,345,5,113,0,0,345,346,5,114,0,0,346,347, 5,116,0,0,347,30,1,0,0,0,348,349,5,108,0,0,349,350,5,110,0,0,350, 32,1,0,0,0,351,352,5,108,0,0,352,353,5,111,0,0,353,354,5,103,0,0, 354,34,1,0,0,0,355,356,5,101,0,0,356,357,5,120,0,0,357,358,5,112, 0,0,358,36,1,0,0,0,359,360,5,115,0,0,360,361,5,109,0,0,361,362,5, 105,0,0,362,363,5,110,0,0,363,38,1,0,0,0,364,365,5,115,0,0,365,366, 5,109,0,0,366,367,5,97,0,0,367,368,5,120,0,0,368,40,1,0,0,0,369, 370,5,116,0,0,370,371,5,109,0,0,371,372,5,105,0,0,372,373,5,110, 0,0,373,42,1,0,0,0,374,375,5,116,0,0,375,376,5,109,0,0,376,377,5, 97,0,0,377,378,5,120,0,0,378,44,1,0,0,0,379,380,5,116,0,0,380,381, 5,110,0,0,381,382,5,111,0,0,382,383,5,114,0,0,383,384,5,109,0,0, 384,46,1,0,0,0,385,386,5,115,0,0,386,387,5,110,0,0,387,388,5,111, 0,0,388,389,5,114,0,0,389,390,5,109,0,0,390,48,1,0,0,0,391,392,5, 102,0,0,392,393,5,108,0,0,393,394,5,111,0,0,394,395,5,111,0,0,395, 396,5,114,0,0,396,50,1,0,0,0,397,398,5,99,0,0,398,399,5,101,0,0, 399,400,5,105,0,0,400,401,5,108,0,0,401,52,1,0,0,0,402,403,5,114, 0,0,403,404,5,111,0,0,404,405,5,117,0,0,405,406,5,110,0,0,406,407, 5,100,0,0,407,54,1,0,0,0,408,409,5,103,0,0,409,410,5,97,0,0,410, 411,5,109,0,0,411,412,5,109,0,0,412,413,5,97,0,0,413,56,1,0,0,0, 414,415,5,112,0,0,415,416,5,111,0,0,416,417,5,119,0,0,417,58,1,0, 0,0,418,419,5,115,0,0,419,420,5,105,0,0,420,421,5,103,0,0,421,422, 5,109,0,0,422,60,1,0,0,0,423,424,5,99,0,0,424,425,5,108,0,0,425, 426,5,97,0,0,426,427,5,109,0,0,427,428,5,112,0,0,428,62,1,0,0,0, 429,430,5,102,0,0,430,431,5,102,0,0,431,432,5,116,0,0,432,64,1,0, 0,0,433,434,5,105,0,0,434,435,5,102,0,0,435,436,5,102,0,0,436,437, 5,116,0,0,437,66,1,0,0,0,438,439,5,97,0,0,439,440,5,110,0,0,440, 441,5,103,0,0,441,442,5,108,0,0,442,443,5,101,0,0,443,68,1,0,0,0, 444,445,5,112,0,0,445,446,5,114,0,0,446,447,5,105,0,0,447,448,5, 110,0,0,448,449,5,116,0,0,449,70,1,0,0,0,450,451,5,112,0,0,451,452, 5,114,0,0,452,453,5,105,0,0,453,454,5,110,0,0,454,455,5,116,0,0, 455,456,5,95,0,0,456,457,5,115,0,0,457,458,5,104,0,0,458,459,5,97, 0,0,459,460,5,112,0,0,460,466,5,101,0,0,461,462,5,112,0,0,462,463, 5,115,0,0,463,464,5,104,0,0,464,466,5,112,0,0,465,450,1,0,0,0,465, 461,1,0,0,0,466,72,1,0,0,0,467,468,5,110,0,0,468,469,5,118,0,0,469, 481,5,108,0,0,470,471,5,110,0,0,471,472,5,97,0,0,472,473,5,110,0, 0,473,474,5,95,0,0,474,475,5,116,0,0,475,476,5,111,0,0,476,477,5, 95,0,0,477,478,5,110,0,0,478,479,5,117,0,0,479,481,5,109,0,0,480, 467,1,0,0,0,480,470,1,0,0,0,481,74,1,0,0,0,482,483,5,108,0,0,483, 484,5,101,0,0,484,485,5,114,0,0,485,486,5,112,0,0,486,76,1,0,0,0, 487,488,5,115,0,0,488,489,5,116,0,0,489,490,5,101,0,0,490,491,5, 112,0,0,491,78,1,0,0,0,492,493,5,115,0,0,493,494,5,109,0,0,494,495, 5,111,0,0,495,496,5,111,0,0,496,497,5,116,0,0,497,498,5,104,0,0, 498,499,5,115,0,0,499,500,5,116,0,0,500,501,5,101,0,0,501,502,5, 112,0,0,502,80,1,0,0,0,503,504,5,102,0,0,504,505,5,114,0,0,505,506, 5,97,0,0,506,507,5,99,0,0,507,508,5,116,0,0,508,82,1,0,0,0,509,510, 5,114,0,0,510,511,5,101,0,0,511,512,5,108,0,0,512,513,5,117,0,0, 513,84,1,0,0,0,514,515,5,115,0,0,515,516,5,111,0,0,516,517,5,102, 0,0,517,518,5,116,0,0,518,519,5,112,0,0,519,520,5,108,0,0,520,521, 5,117,0,0,521,522,5,115,0,0,522,86,1,0,0,0,523,524,5,103,0,0,524, 525,5,101,0,0,525,526,5,108,0,0,526,527,5,117,0,0,527,88,1,0,0,0, 528,529,5,115,0,0,529,530,5,105,0,0,530,531,5,103,0,0,531,532,5, 110,0,0,532,90,1,0,0,0,533,534,5,109,0,0,534,535,5,97,0,0,535,536, 5,112,0,0,536,92,1,0,0,0,537,538,5,101,0,0,538,539,5,122,0,0,539, 540,5,99,0,0,540,541,5,111,0,0,541,542,5,110,0,0,542,543,5,118,0, 0,543,544,5,111,0,0,544,545,5,108,0,0,545,546,5,117,0,0,546,547, 5,116,0,0,547,548,5,105,0,0,548,549,5,111,0,0,549,557,5,110,0,0, 550,551,5,101,0,0,551,552,5,122,0,0,552,553,5,99,0,0,553,554,5,111, 0,0,554,555,5,110,0,0,555,557,5,118,0,0,556,537,1,0,0,0,556,550, 1,0,0,0,557,94,1,0,0,0,558,559,5,99,0,0,559,560,5,111,0,0,560,561, 5,110,0,0,561,562,5,118,0,0,562,563,5,111,0,0,563,564,5,108,0,0, 564,565,5,117,0,0,565,566,5,116,0,0,566,567,5,105,0,0,567,568,5, 111,0,0,568,574,5,110,0,0,569,570,5,99,0,0,570,571,5,111,0,0,571, 572,5,110,0,0,572,574,5,118,0,0,573,558,1,0,0,0,573,569,1,0,0,0, 574,96,1,0,0,0,575,576,5,115,0,0,576,577,5,119,0,0,577,578,5,97, 0,0,578,579,5,112,0,0,579,98,1,0,0,0,580,581,5,112,0,0,581,582,5, 101,0,0,582,583,5,114,0,0,583,584,5,109,0,0,584,585,5,117,0,0,585, 586,5,116,0,0,586,592,5,101,0,0,587,588,5,112,0,0,588,589,5,101, 0,0,589,590,5,114,0,0,590,592,5,109,0,0,591,580,1,0,0,0,591,587, 1,0,0,0,592,100,1,0,0,0,593,594,5,114,0,0,594,595,5,101,0,0,595, 596,5,115,0,0,596,597,5,104,0,0,597,598,5,97,0,0,598,599,5,112,0, 0,599,605,5,101,0,0,600,601,5,114,0,0,601,602,5,115,0,0,602,603, 5,104,0,0,603,605,5,112,0,0,604,593,1,0,0,0,604,600,1,0,0,0,605, 102,1,0,0,0,606,607,5,114,0,0,607,608,5,97,0,0,608,609,5,110,0,0, 609,610,5,103,0,0,610,611,5,101,0,0,611,104,1,0,0,0,612,613,5,116, 0,0,613,614,5,111,0,0,614,615,5,112,0,0,615,616,5,107,0,0,616,106, 1,0,0,0,617,618,5,98,0,0,618,619,5,111,0,0,619,620,5,116,0,0,620, 621,5,107,0,0,621,108,1,0,0,0,622,623,5,112,0,0,623,624,5,105,0, 0,624,625,5,110,0,0,625,626,5,118,0,0,626,110,1,0,0,0,627,628,5, 115,0,0,628,629,5,117,0,0,629,630,5,109,0,0,630,112,1,0,0,0,631, 632,5,109,0,0,632,633,5,101,0,0,633,634,5,97,0,0,634,635,5,110,0, 0,635,114,1,0,0,0,636,637,5,115,0,0,637,638,5,116,0,0,638,639,5, 100,0,0,639,116,1,0,0,0,640,641,5,118,0,0,641,642,5,97,0,0,642,643, 5,114,0,0,643,118,1,0,0,0,644,645,5,113,0,0,645,646,5,117,0,0,646, 647,5,97,0,0,647,648,5,114,0,0,648,649,5,116,0,0,649,650,5,105,0, 0,650,651,5,108,0,0,651,660,5,101,0,0,652,653,5,113,0,0,653,654, 5,117,0,0,654,655,5,97,0,0,655,656,5,114,0,0,656,657,5,116,0,0,657, 658,5,105,0,0,658,660,5,108,0,0,659,644,1,0,0,0,659,652,1,0,0,0, 660,120,1,0,0,0,661,662,5,112,0,0,662,663,5,101,0,0,663,664,5,114, 0,0,664,665,5,99,0,0,665,666,5,101,0,0,666,667,5,110,0,0,667,668, 5,116,0,0,668,669,5,105,0,0,669,670,5,108,0,0,670,677,5,101,0,0, 671,672,5,112,0,0,672,673,5,114,0,0,673,674,5,99,0,0,674,675,5,110, 0,0,675,677,5,116,0,0,676,661,1,0,0,0,676,671,1,0,0,0,677,122,1, 0,0,0,678,679,5,113,0,0,679,680,5,117,0,0,680,681,5,97,0,0,681,682, 5,110,0,0,682,683,5,116,0,0,683,684,5,105,0,0,684,685,5,108,0,0, 685,686,5,101,0,0,686,124,1,0,0,0,687,688,5,100,0,0,688,689,5,111, 0,0,689,690,5,116,0,0,690,126,1,0,0,0,691,692,5,109,0,0,692,693, 5,111,0,0,693,694,5,109,0,0,694,695,5,101,0,0,695,696,5,110,0,0, 696,697,5,116,0,0,697,128,1,0,0,0,698,699,5,97,0,0,699,700,5,110, 0,0,700,701,5,121,0,0,701,130,1,0,0,0,702,703,5,97,0,0,703,704,5, 108,0,0,704,705,5,108,0,0,705,132,1,0,0,0,706,707,5,101,0,0,707, 708,5,100,0,0,708,709,5,103,0,0,709,710,5,101,0,0,710,134,1,0,0, 0,711,712,5,98,0,0,712,713,5,108,0,0,713,714,5,117,0,0,714,724,5, 114,0,0,715,716,5,103,0,0,716,717,5,97,0,0,717,718,5,117,0,0,718, 719,5,115,0,0,719,720,5,115,0,0,720,721,5,105,0,0,721,722,5,97,0, 0,722,724,5,110,0,0,723,711,1,0,0,0,723,715,1,0,0,0,724,136,1,0, 0,0,725,726,5,109,0,0,726,727,5,101,0,0,727,728,5,100,0,0,728,729, 5,105,0,0,729,730,5,97,0,0,730,731,5,110,0,0,731,138,1,0,0,0,732, 733,5,109,0,0,733,734,5,111,0,0,734,735,5,100,0,0,735,736,5,101, 0,0,736,140,1,0,0,0,737,738,5,99,0,0,738,739,5,117,0,0,739,740,5, 109,0,0,740,741,5,115,0,0,741,742,5,117,0,0,742,743,5,109,0,0,743, 142,1,0,0,0,744,745,5,99,0,0,745,746,5,117,0,0,746,747,5,109,0,0, 747,748,5,112,0,0,748,749,5,114,0,0,749,750,5,111,0,0,750,751,5, 100,0,0,751,144,1,0,0,0,752,753,5,116,0,0,753,754,5,111,0,0,754, 755,5,112,0,0,755,756,5,107,0,0,756,757,5,95,0,0,757,758,5,105,0, 0,758,759,5,110,0,0,759,773,5,100,0,0,760,761,5,116,0,0,761,762, 5,111,0,0,762,763,5,112,0,0,763,764,5,107,0,0,764,765,5,95,0,0,765, 766,5,105,0,0,766,767,5,110,0,0,767,768,5,100,0,0,768,769,5,105, 0,0,769,770,5,99,0,0,770,771,5,101,0,0,771,773,5,115,0,0,772,752, 1,0,0,0,772,760,1,0,0,0,773,146,1,0,0,0,774,775,5,98,0,0,775,776, 5,111,0,0,776,777,5,116,0,0,777,778,5,107,0,0,778,779,5,95,0,0,779, 780,5,105,0,0,780,781,5,110,0,0,781,795,5,100,0,0,782,783,5,98,0, 0,783,784,5,111,0,0,784,785,5,116,0,0,785,786,5,107,0,0,786,787, 5,95,0,0,787,788,5,105,0,0,788,789,5,110,0,0,789,790,5,100,0,0,790, 791,5,105,0,0,791,792,5,99,0,0,792,793,5,101,0,0,793,795,5,115,0, 0,794,774,1,0,0,0,794,782,1,0,0,0,795,148,1,0,0,0,796,797,5,99,0, 0,797,798,5,117,0,0,798,799,5,98,0,0,799,800,5,105,0,0,800,801,5, 99,0,0,801,802,5,95,0,0,802,803,5,101,0,0,803,804,5,97,0,0,804,805, 5,115,0,0,805,812,5,101,0,0,806,807,5,99,0,0,807,808,5,117,0,0,808, 809,5,98,0,0,809,810,5,105,0,0,810,812,5,99,0,0,811,796,1,0,0,0, 811,806,1,0,0,0,812,150,1,0,0,0,813,814,5,101,0,0,814,815,5,108, 0,0,815,816,5,97,0,0,816,817,5,115,0,0,817,818,5,116,0,0,818,819, 5,105,0,0,819,820,5,99,0,0,820,821,5,95,0,0,821,822,5,101,0,0,822, 823,5,97,0,0,823,824,5,115,0,0,824,833,5,101,0,0,825,826,5,101,0, 0,826,827,5,108,0,0,827,828,5,97,0,0,828,829,5,115,0,0,829,830,5, 116,0,0,830,831,5,105,0,0,831,833,5,99,0,0,832,813,1,0,0,0,832,825, 1,0,0,0,833,152,1,0,0,0,834,835,5,115,0,0,835,836,5,105,0,0,836, 837,5,110,0,0,837,838,5,101,0,0,838,839,5,95,0,0,839,840,5,101,0, 0,840,841,5,97,0,0,841,842,5,115,0,0,842,848,5,101,0,0,843,844,5, 115,0,0,844,845,5,105,0,0,845,846,5,110,0,0,846,848,5,101,0,0,847, 834,1,0,0,0,847,843,1,0,0,0,848,154,1,0,0,0,849,850,5,115,0,0,850, 851,5,109,0,0,851,852,5,111,0,0,852,853,5,111,0,0,853,854,5,116, 0,0,854,855,5,104,0,0,855,856,5,101,0,0,856,857,5,114,0,0,857,858, 5,115,0,0,858,859,5,116,0,0,859,860,5,101,0,0,860,861,5,112,0,0, 861,156,1,0,0,0,862,863,5,100,0,0,863,864,5,105,0,0,864,865,5,115, 0,0,865,875,5,116,0,0,866,867,5,100,0,0,867,868,5,105,0,0,868,869, 5,115,0,0,869,870,5,116,0,0,870,871,5,97,0,0,871,872,5,110,0,0,872, 873,5,99,0,0,873,875,5,101,0,0,874,862,1,0,0,0,874,866,1,0,0,0,875, 158,1,0,0,0,876,877,5,114,0,0,877,878,5,101,0,0,878,879,5,109,0, 0,879,880,5,97,0,0,880,881,5,112,0,0,881,160,1,0,0,0,882,883,5,105, 0,0,883,884,5,102,0,0,884,162,1,0,0,0,885,886,5,101,0,0,886,887, 5,108,0,0,887,888,5,115,0,0,888,889,5,101,0,0,889,164,1,0,0,0,890, 891,5,119,0,0,891,892,5,104,0,0,892,893,5,105,0,0,893,894,5,108, 0,0,894,895,5,101,0,0,895,166,1,0,0,0,896,897,5,114,0,0,897,898, 5,101,0,0,898,899,5,116,0,0,899,900,5,117,0,0,900,901,5,114,0,0, 901,902,5,110,0,0,902,168,1,0,0,0,903,904,5,115,0,0,904,905,5,116, 0,0,905,906,5,97,0,0,906,907,5,99,0,0,907,908,5,107,0,0,908,909, 5,95,0,0,909,910,5,112,0,0,910,911,5,117,0,0,911,912,5,115,0,0,912, 913,5,104,0,0,913,170,1,0,0,0,914,915,5,115,0,0,915,916,5,116,0, 0,916,917,5,97,0,0,917,918,5,99,0,0,918,919,5,107,0,0,919,920,5, 95,0,0,920,921,5,112,0,0,921,922,5,111,0,0,922,923,5,112,0,0,923, 172,1,0,0,0,924,925,5,115,0,0,925,926,5,116,0,0,926,927,5,97,0,0, 927,928,5,99,0,0,928,929,5,107,0,0,929,930,5,95,0,0,930,931,5,99, 0,0,931,932,5,108,0,0,932,933,5,101,0,0,933,934,5,97,0,0,934,935, 5,114,0,0,935,174,1,0,0,0,936,937,5,115,0,0,937,938,5,116,0,0,938, 939,5,97,0,0,939,940,5,99,0,0,940,941,5,107,0,0,941,942,5,95,0,0, 942,943,5,104,0,0,943,944,5,97,0,0,944,945,5,115,0,0,945,176,1,0, 0,0,946,947,5,115,0,0,947,948,5,116,0,0,948,949,5,97,0,0,949,950, 5,99,0,0,950,951,5,107,0,0,951,952,5,95,0,0,952,953,5,103,0,0,953, 954,5,101,0,0,954,955,5,116,0,0,955,178,1,0,0,0,956,957,5,110,0, 0,957,958,5,111,0,0,958,959,5,105,0,0,959,960,5,115,0,0,960,980, 5,101,0,0,961,962,5,114,0,0,962,963,5,97,0,0,963,964,5,110,0,0,964, 965,5,100,0,0,965,980,5,110,0,0,966,967,5,114,0,0,967,968,5,97,0, 0,968,969,5,110,0,0,969,970,5,100,0,0,970,971,5,111,0,0,971,972, 5,109,0,0,972,973,5,95,0,0,973,974,5,110,0,0,974,975,5,111,0,0,975, 976,5,114,0,0,976,977,5,109,0,0,977,978,5,97,0,0,978,980,5,108,0, 0,979,956,1,0,0,0,979,961,1,0,0,0,979,966,1,0,0,0,980,180,1,0,0, 0,981,982,5,114,0,0,982,983,5,97,0,0,983,984,5,110,0,0,984,1005, 5,100,0,0,985,986,5,114,0,0,986,987,5,97,0,0,987,988,5,110,0,0,988, 989,5,100,0,0,989,1005,5,117,0,0,990,991,5,114,0,0,991,992,5,97, 0,0,992,993,5,110,0,0,993,994,5,100,0,0,994,995,5,111,0,0,995,996, 5,109,0,0,996,997,5,95,0,0,997,998,5,117,0,0,998,999,5,110,0,0,999, 1000,5,105,0,0,1000,1001,5,102,0,0,1001,1002,5,111,0,0,1002,1003, 5,114,0,0,1003,1005,5,109,0,0,1004,981,1,0,0,0,1004,985,1,0,0,0, 1004,990,1,0,0,0,1005,182,1,0,0,0,1006,1007,5,114,0,0,1007,1008, 5,97,0,0,1008,1009,5,110,0,0,1009,1010,5,100,0,0,1010,1025,5,99, 0,0,1011,1012,5,114,0,0,1012,1013,5,97,0,0,1013,1014,5,110,0,0,1014, 1015,5,100,0,0,1015,1016,5,111,0,0,1016,1017,5,109,0,0,1017,1018, 5,95,0,0,1018,1019,5,99,0,0,1019,1020,5,97,0,0,1020,1021,5,117,0, 0,1021,1022,5,99,0,0,1022,1023,5,104,0,0,1023,1025,5,121,0,0,1024, 1006,1,0,0,0,1024,1011,1,0,0,0,1025,184,1,0,0,0,1026,1027,5,114, 0,0,1027,1028,5,97,0,0,1028,1029,5,110,0,0,1029,1030,5,100,0,0,1030, 1050,5,101,0,0,1031,1032,5,114,0,0,1032,1033,5,97,0,0,1033,1034, 5,110,0,0,1034,1035,5,100,0,0,1035,1036,5,111,0,0,1036,1037,5,109, 0,0,1037,1038,5,95,0,0,1038,1039,5,101,0,0,1039,1040,5,120,0,0,1040, 1041,5,112,0,0,1041,1042,5,111,0,0,1042,1043,5,110,0,0,1043,1044, 5,101,0,0,1044,1045,5,110,0,0,1045,1046,5,116,0,0,1046,1047,5,105, 0,0,1047,1048,5,97,0,0,1048,1050,5,108,0,0,1049,1026,1,0,0,0,1049, 1031,1,0,0,0,1050,186,1,0,0,0,1051,1052,5,114,0,0,1052,1053,5,97, 0,0,1053,1054,5,110,0,0,1054,1055,5,100,0,0,1055,1056,5,108,0,0, 1056,1075,5,110,0,0,1057,1058,5,114,0,0,1058,1059,5,97,0,0,1059, 1060,5,110,0,0,1060,1061,5,100,0,0,1061,1062,5,111,0,0,1062,1063, 5,109,0,0,1063,1064,5,95,0,0,1064,1065,5,108,0,0,1065,1066,5,111, 0,0,1066,1067,5,103,0,0,1067,1068,5,95,0,0,1068,1069,5,110,0,0,1069, 1070,5,111,0,0,1070,1071,5,114,0,0,1071,1072,5,109,0,0,1072,1073, 5,97,0,0,1073,1075,5,108,0,0,1074,1051,1,0,0,0,1074,1057,1,0,0,0, 1075,188,1,0,0,0,1076,1077,5,114,0,0,1077,1078,5,97,0,0,1078,1079, 5,110,0,0,1079,1080,5,100,0,0,1080,1098,5,98,0,0,1081,1082,5,114, 0,0,1082,1083,5,97,0,0,1083,1084,5,110,0,0,1084,1085,5,100,0,0,1085, 1086,5,111,0,0,1086,1087,5,109,0,0,1087,1088,5,95,0,0,1088,1089, 5,98,0,0,1089,1090,5,101,0,0,1090,1091,5,114,0,0,1091,1092,5,110, 0,0,1092,1093,5,111,0,0,1093,1094,5,117,0,0,1094,1095,5,108,0,0, 1095,1096,5,108,0,0,1096,1098,5,105,0,0,1097,1076,1,0,0,0,1097,1081, 1,0,0,0,1098,190,1,0,0,0,1099,1100,5,114,0,0,1100,1101,5,97,0,0, 1101,1102,5,110,0,0,1102,1103,5,100,0,0,1103,1119,5,112,0,0,1104, 1105,5,114,0,0,1105,1106,5,97,0,0,1106,1107,5,110,0,0,1107,1108, 5,100,0,0,1108,1109,5,111,0,0,1109,1110,5,109,0,0,1110,1111,5,95, 0,0,1111,1112,5,112,0,0,1112,1113,5,111,0,0,1113,1114,5,105,0,0, 1114,1115,5,115,0,0,1115,1116,5,115,0,0,1116,1117,5,111,0,0,1117, 1119,5,110,0,0,1118,1099,1,0,0,0,1118,1104,1,0,0,0,1119,192,1,0, 0,0,1120,1121,5,114,0,0,1121,1122,5,97,0,0,1122,1123,5,110,0,0,1123, 1124,5,100,0,0,1124,1138,5,103,0,0,1125,1126,5,114,0,0,1126,1127, 5,97,0,0,1127,1128,5,110,0,0,1128,1129,5,100,0,0,1129,1130,5,111, 0,0,1130,1131,5,109,0,0,1131,1132,5,95,0,0,1132,1133,5,103,0,0,1133, 1134,5,97,0,0,1134,1135,5,109,0,0,1135,1136,5,109,0,0,1136,1138, 5,97,0,0,1137,1120,1,0,0,0,1137,1125,1,0,0,0,1138,194,1,0,0,0,1139, 1140,5,114,0,0,1140,1141,5,97,0,0,1141,1142,5,110,0,0,1142,1143, 5,100,0,0,1143,1144,5,98,0,0,1144,1145,5,101,0,0,1145,1146,5,116, 0,0,1146,1159,5,97,0,0,1147,1148,5,114,0,0,1148,1149,5,97,0,0,1149, 1150,5,110,0,0,1150,1151,5,100,0,0,1151,1152,5,111,0,0,1152,1153, 5,109,0,0,1153,1154,5,95,0,0,1154,1155,5,98,0,0,1155,1156,5,101, 0,0,1156,1157,5,116,0,0,1157,1159,5,97,0,0,1158,1139,1,0,0,0,1158, 1147,1,0,0,0,1159,196,1,0,0,0,1160,1161,5,114,0,0,1161,1162,5,97, 0,0,1162,1163,5,110,0,0,1163,1164,5,100,0,0,1164,1180,5,108,0,0, 1165,1166,5,114,0,0,1166,1167,5,97,0,0,1167,1168,5,110,0,0,1168, 1169,5,100,0,0,1169,1170,5,111,0,0,1170,1171,5,109,0,0,1171,1172, 5,95,0,0,1172,1173,5,108,0,0,1173,1174,5,97,0,0,1174,1175,5,112, 0,0,1175,1176,5,108,0,0,1176,1177,5,97,0,0,1177,1178,5,99,0,0,1178, 1180,5,101,0,0,1179,1160,1,0,0,0,1179,1165,1,0,0,0,1180,198,1,0, 0,0,1181,1182,5,114,0,0,1182,1183,5,97,0,0,1183,1184,5,110,0,0,1184, 1185,5,100,0,0,1185,1186,5,103,0,0,1186,1187,5,117,0,0,1187,1188, 5,109,0,0,1188,1189,5,98,0,0,1189,1190,5,101,0,0,1190,1205,5,108, 0,0,1191,1192,5,114,0,0,1192,1193,5,97,0,0,1193,1194,5,110,0,0,1194, 1195,5,100,0,0,1195,1196,5,111,0,0,1196,1197,5,109,0,0,1197,1198, 5,95,0,0,1198,1199,5,103,0,0,1199,1200,5,117,0,0,1200,1201,5,109, 0,0,1201,1202,5,98,0,0,1202,1203,5,101,0,0,1203,1205,5,108,0,0,1204, 1181,1,0,0,0,1204,1191,1,0,0,0,1205,200,1,0,0,0,1206,1207,5,114, 0,0,1207,1208,5,97,0,0,1208,1209,5,110,0,0,1209,1210,5,100,0,0,1210, 1226,5,119,0,0,1211,1212,5,114,0,0,1212,1213,5,97,0,0,1213,1214, 5,110,0,0,1214,1215,5,100,0,0,1215,1216,5,111,0,0,1216,1217,5,109, 0,0,1217,1218,5,95,0,0,1218,1219,5,119,0,0,1219,1220,5,101,0,0,1220, 1221,5,105,0,0,1221,1222,5,98,0,0,1222,1223,5,117,0,0,1223,1224, 5,108,0,0,1224,1226,5,108,0,0,1225,1206,1,0,0,0,1225,1211,1,0,0, 0,1226,202,1,0,0,0,1227,1228,5,114,0,0,1228,1229,5,97,0,0,1229,1230, 5,110,0,0,1230,1231,5,100,0,0,1231,1232,5,99,0,0,1232,1233,5,104, 0,0,1233,1234,5,105,0,0,1234,1247,5,50,0,0,1235,1236,5,114,0,0,1236, 1237,5,97,0,0,1237,1238,5,110,0,0,1238,1239,5,100,0,0,1239,1240, 5,111,0,0,1240,1241,5,109,0,0,1241,1242,5,95,0,0,1242,1243,5,99, 0,0,1243,1244,5,104,0,0,1244,1245,5,105,0,0,1245,1247,5,50,0,0,1246, 1227,1,0,0,0,1246,1235,1,0,0,0,1247,204,1,0,0,0,1248,1249,5,114, 0,0,1249,1250,5,97,0,0,1250,1251,5,110,0,0,1251,1252,5,100,0,0,1252, 1269,5,116,0,0,1253,1254,5,114,0,0,1254,1255,5,97,0,0,1255,1256, 5,110,0,0,1256,1257,5,100,0,0,1257,1258,5,111,0,0,1258,1259,5,109, 0,0,1259,1260,5,95,0,0,1260,1261,5,115,0,0,1261,1262,5,116,0,0,1262, 1263,5,117,0,0,1263,1264,5,100,0,0,1264,1265,5,101,0,0,1265,1266, 5,110,0,0,1266,1267,5,116,0,0,1267,1269,5,116,0,0,1268,1248,1,0, 0,0,1268,1253,1,0,0,0,1269,206,1,0,0,0,1270,1271,5,43,0,0,1271,208, 1,0,0,0,1272,1273,5,45,0,0,1273,210,1,0,0,0,1274,1275,5,42,0,0,1275, 212,1,0,0,0,1276,1277,5,47,0,0,1277,214,1,0,0,0,1278,1279,5,37,0, 0,1279,216,1,0,0,0,1280,1281,5,94,0,0,1281,218,1,0,0,0,1282,1283, 5,60,0,0,1283,1284,5,60,0,0,1284,220,1,0,0,0,1285,1286,5,62,0,0, 1286,1287,5,62,0,0,1287,222,1,0,0,0,1288,1289,5,62,0,0,1289,1290, 5,61,0,0,1290,224,1,0,0,0,1291,1292,5,62,0,0,1292,226,1,0,0,0,1293, 1294,5,60,0,0,1294,1295,5,61,0,0,1295,228,1,0,0,0,1296,1297,5,60, 0,0,1297,230,1,0,0,0,1298,1299,5,61,0,0,1299,1300,5,61,0,0,1300, 232,1,0,0,0,1301,1302,5,61,0,0,1302,234,1,0,0,0,1303,1304,5,33,0, 0,1304,1305,5,61,0,0,1305,236,1,0,0,0,1306,1307,5,124,0,0,1307,238, 1,0,0,0,1308,1309,5,40,0,0,1309,240,1,0,0,0,1310,1311,5,41,0,0,1311, 242,1,0,0,0,1312,1313,5,44,0,0,1313,244,1,0,0,0,1314,1315,5,59,0, 0,1315,246,1,0,0,0,1316,1317,5,45,0,0,1317,1318,5,62,0,0,1318,248, 1,0,0,0,1319,1320,5,91,0,0,1320,250,1,0,0,0,1321,1322,5,93,0,0,1322, 252,1,0,0,0,1323,1324,5,63,0,0,1324,254,1,0,0,0,1325,1326,5,58,0, 0,1326,256,1,0,0,0,1327,1328,5,123,0,0,1328,258,1,0,0,0,1329,1330, 5,125,0,0,1330,260,1,0,0,0,1331,1333,7,0,0,0,1332,1331,1,0,0,0,1333, 1334,1,0,0,0,1334,1332,1,0,0,0,1334,1335,1,0,0,0,1335,1343,1,0,0, 0,1336,1340,5,46,0,0,1337,1339,7,0,0,0,1338,1337,1,0,0,0,1339,1342, 1,0,0,0,1340,1338,1,0,0,0,1340,1341,1,0,0,0,1341,1344,1,0,0,0,1342, 1340,1,0,0,0,1343,1336,1,0,0,0,1343,1344,1,0,0,0,1344,1352,1,0,0, 0,1345,1347,5,46,0,0,1346,1348,7,0,0,0,1347,1346,1,0,0,0,1348,1349, 1,0,0,0,1349,1347,1,0,0,0,1349,1350,1,0,0,0,1350,1352,1,0,0,0,1351, 1332,1,0,0,0,1351,1345,1,0,0,0,1352,1362,1,0,0,0,1353,1355,7,1,0, 0,1354,1356,7,2,0,0,1355,1354,1,0,0,0,1355,1356,1,0,0,0,1356,1358, 1,0,0,0,1357,1359,7,0,0,0,1358,1357,1,0,0,0,1359,1360,1,0,0,0,1360, 1358,1,0,0,0,1360,1361,1,0,0,0,1361,1363,1,0,0,0,1362,1353,1,0,0, 0,1362,1363,1,0,0,0,1363,262,1,0,0,0,1364,1365,5,112,0,0,1365,1370, 5,105,0,0,1366,1367,5,80,0,0,1367,1370,5,73,0,0,1368,1370,7,1,0, 0,1369,1364,1,0,0,0,1369,1366,1,0,0,0,1369,1368,1,0,0,0,1370,264, 1,0,0,0,1371,1375,7,3,0,0,1372,1374,7,4,0,0,1373,1372,1,0,0,0,1374, 1377,1,0,0,0,1375,1373,1,0,0,0,1375,1376,1,0,0,0,1376,266,1,0,0, 0,1377,1375,1,0,0,0,1378,1382,5,35,0,0,1379,1381,8,5,0,0,1380,1379, 1,0,0,0,1381,1384,1,0,0,0,1382,1380,1,0,0,0,1382,1383,1,0,0,0,1383, 1385,1,0,0,0,1384,1382,1,0,0,0,1385,1386,6,133,0,0,1386,268,1,0, 0,0,1387,1388,5,47,0,0,1388,1389,5,42,0,0,1389,1393,1,0,0,0,1390, 1392,9,0,0,0,1391,1390,1,0,0,0,1392,1395,1,0,0,0,1393,1394,1,0,0, 0,1393,1391,1,0,0,0,1394,1396,1,0,0,0,1395,1393,1,0,0,0,1396,1397, 5,42,0,0,1397,1398,5,47,0,0,1398,1399,1,0,0,0,1399,1400,6,134,0, 0,1400,270,1,0,0,0,1401,1403,7,6,0,0,1402,1401,1,0,0,0,1403,1404, 1,0,0,0,1404,1402,1,0,0,0,1404,1405,1,0,0,0,1405,1406,1,0,0,0,1406, 1407,6,135,0,0,1407,272,1,0,0,0,43,0,465,480,556,573,591,604,659, 676,723,772,794,811,832,847,874,979,1004,1024,1049,1074,1097,1118, 1137,1158,1179,1204,1225,1246,1268,1334,1340,1343,1349,1351,1355, 1360,1362,1369,1375,1382,1393,1404,1,6,0,0 ] class MathExprLexer(Lexer): atn = ATNDeserializer().deserialize(serializedATN()) decisionsToDFA = [ DFA(ds, i) for i, ds in enumerate(atn.decisionToState) ] SIN = 1 COS = 2 TAN = 3 ASIN = 4 ACOS = 5 ATAN = 6 ATAN2 = 7 SINH = 8 COSH = 9 TANH = 10 ASINH = 11 ACOSH = 12 ATANH = 13 ABS = 14 SQRT = 15 LN = 16 LOG = 17 EXP = 18 SMIN = 19 SMAX = 20 TMIN = 21 TMAX = 22 TNORM = 23 SNORM = 24 FLOOR = 25 CEIL = 26 ROUND = 27 GAMMA = 28 POWE = 29 SIGM = 30 CLAMP = 31 SFFT = 32 SIFFT = 33 ANGL = 34 PRNT = 35 PRINT_SHAPE = 36 NVL = 37 LERP = 38 STEP = 39 SMOOTHSTEP = 40 FRACT = 41 RELU = 42 SOFTPLUS = 43 GELU = 44 SIGN = 45 MAP = 46 EZCONV = 47 CONV = 48 SWAP = 49 PERM = 50 RESHAPE = 51 RANGE = 52 TOPK = 53 BOTK = 54 PINV = 55 SUM = 56 MEAN = 57 STD = 58 VAR = 59 QUARTILE = 60 PERCENTILE = 61 QUANTILE = 62 DOT = 63 MOMENT = 64 ANY = 65 ALL = 66 EDGE = 67 GAUSSIAN = 68 MEDIAN = 69 MODE = 70 CUMSUM = 71 CUMPROD = 72 TOPK_IND = 73 BOTK_IND = 74 CUBIC_EASE = 75 ELASTIC_EASE = 76 SINE_EASE = 77 SMOOTHERSTEP = 78 DIST = 79 REMAP = 80 IF = 81 ELSE = 82 WHILE = 83 RETURN = 84 PUSH = 85 POP = 86 CLEAR = 87 HAS = 88 GET = 89 NOISE = 90 RAND = 91 CAUCHY = 92 EXPONENTIAL = 93 LOGNORMAL = 94 BERNOULLI = 95 POISSON = 96 GAMMADIST = 97 BETADIST = 98 LAPLACEDIST = 99 GUMBELDIST = 100 WEIBULLDIST = 101 CHI2DIST = 102 STUDENTTDIST = 103 PLUS = 104 MINUS = 105 MULT = 106 DIV = 107 MOD = 108 POW = 109 LSHIFT = 110 RSHIFT = 111 GE = 112 GT = 113 LE = 114 LT = 115 EQ = 116 EQUEALS = 117 NE = 118 PIPE = 119 LPAREN = 120 RPAREN = 121 COMMA = 122 SEMICOLON = 123 ARROW = 124 LBRACKET = 125 RBRACKET = 126 QUESTION = 127 COLON = 128 LBRACE = 129 RBRACE = 130 NUMBER = 131 CONSTANT = 132 VARIABLE = 133 SL_COMMENT = 134 ML_COMMENT = 135 WS = 136 channelNames = [ u"DEFAULT_TOKEN_CHANNEL", u"HIDDEN" ] modeNames = [ "DEFAULT_MODE" ] literalNames = [ "", "'sin'", "'cos'", "'tan'", "'asin'", "'acos'", "'atan'", "'atan2'", "'sinh'", "'cosh'", "'tanh'", "'asinh'", "'acosh'", "'atanh'", "'abs'", "'sqrt'", "'ln'", "'log'", "'exp'", "'smin'", "'smax'", "'tmin'", "'tmax'", "'tnorm'", "'snorm'", "'floor'", "'ceil'", "'round'", "'gamma'", "'pow'", "'sigm'", "'clamp'", "'fft'", "'ifft'", "'angle'", "'print'", "'lerp'", "'step'", "'smoothstep'", "'fract'", "'relu'", "'softplus'", "'gelu'", "'sign'", "'map'", "'swap'", "'range'", "'topk'", "'botk'", "'pinv'", "'sum'", "'mean'", "'std'", "'var'", "'quantile'", "'dot'", "'moment'", "'any'", "'all'", "'edge'", "'median'", "'mode'", "'cumsum'", "'cumprod'", "'smootherstep'", "'remap'", "'if'", "'else'", "'while'", "'return'", "'stack_push'", "'stack_pop'", "'stack_clear'", "'stack_has'", "'stack_get'", "'+'", "'-'", "'*'", "'/'", "'%'", "'^'", "'<<'", "'>>'", "'>='", "'>'", "'<='", "'<'", "'=='", "'='", "'!='", "'|'", "'('", "')'", "','", "';'", "'->'", "'['", "']'", "'?'", "':'", "'{'", "'}'" ] symbolicNames = [ "", "SIN", "COS", "TAN", "ASIN", "ACOS", "ATAN", "ATAN2", "SINH", "COSH", "TANH", "ASINH", "ACOSH", "ATANH", "ABS", "SQRT", "LN", "LOG", "EXP", "SMIN", "SMAX", "TMIN", "TMAX", "TNORM", "SNORM", "FLOOR", "CEIL", "ROUND", "GAMMA", "POWE", "SIGM", "CLAMP", "SFFT", "SIFFT", "ANGL", "PRNT", "PRINT_SHAPE", "NVL", "LERP", "STEP", "SMOOTHSTEP", "FRACT", "RELU", "SOFTPLUS", "GELU", "SIGN", "MAP", "EZCONV", "CONV", "SWAP", "PERM", "RESHAPE", "RANGE", "TOPK", "BOTK", "PINV", "SUM", "MEAN", "STD", "VAR", "QUARTILE", "PERCENTILE", "QUANTILE", "DOT", "MOMENT", "ANY", "ALL", "EDGE", "GAUSSIAN", "MEDIAN", "MODE", "CUMSUM", "CUMPROD", "TOPK_IND", "BOTK_IND", "CUBIC_EASE", "ELASTIC_EASE", "SINE_EASE", "SMOOTHERSTEP", "DIST", "REMAP", "IF", "ELSE", "WHILE", "RETURN", "PUSH", "POP", "CLEAR", "HAS", "GET", "NOISE", "RAND", "CAUCHY", "EXPONENTIAL", "LOGNORMAL", "BERNOULLI", "POISSON", "GAMMADIST", "BETADIST", "LAPLACEDIST", "GUMBELDIST", "WEIBULLDIST", "CHI2DIST", "STUDENTTDIST", "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", "VARIABLE", "SL_COMMENT", "ML_COMMENT", "WS" ] ruleNames = [ "SIN", "COS", "TAN", "ASIN", "ACOS", "ATAN", "ATAN2", "SINH", "COSH", "TANH", "ASINH", "ACOSH", "ATANH", "ABS", "SQRT", "LN", "LOG", "EXP", "SMIN", "SMAX", "TMIN", "TMAX", "TNORM", "SNORM", "FLOOR", "CEIL", "ROUND", "GAMMA", "POWE", "SIGM", "CLAMP", "SFFT", "SIFFT", "ANGL", "PRNT", "PRINT_SHAPE", "NVL", "LERP", "STEP", "SMOOTHSTEP", "FRACT", "RELU", "SOFTPLUS", "GELU", "SIGN", "MAP", "EZCONV", "CONV", "SWAP", "PERM", "RESHAPE", "RANGE", "TOPK", "BOTK", "PINV", "SUM", "MEAN", "STD", "VAR", "QUARTILE", "PERCENTILE", "QUANTILE", "DOT", "MOMENT", "ANY", "ALL", "EDGE", "GAUSSIAN", "MEDIAN", "MODE", "CUMSUM", "CUMPROD", "TOPK_IND", "BOTK_IND", "CUBIC_EASE", "ELASTIC_EASE", "SINE_EASE", "SMOOTHERSTEP", "DIST", "REMAP", "IF", "ELSE", "WHILE", "RETURN", "PUSH", "POP", "CLEAR", "HAS", "GET", "NOISE", "RAND", "CAUCHY", "EXPONENTIAL", "LOGNORMAL", "BERNOULLI", "POISSON", "GAMMADIST", "BETADIST", "LAPLACEDIST", "GUMBELDIST", "WEIBULLDIST", "CHI2DIST", "STUDENTTDIST", "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", "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