# 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 [
        4,0,84,646,6,-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,
        78,7,78,2,79,7,79,2,80,7,80,2,81,7,81,2,82,7,82,2,83,7,83,1,0,1,
        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,
        35,362,8,35,1,36,1,36,1,36,1,36,1,36,1,37,1,37,1,37,1,37,1,37,1,
        38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,39,1,39,1,
        39,1,39,1,39,1,39,1,40,1,40,1,40,1,40,1,40,1,41,1,41,1,41,1,41,1,
        41,1,41,1,41,1,41,1,41,1,42,1,42,1,42,1,42,1,42,1,43,1,43,1,43,1,
        43,1,43,1,44,1,44,1,44,1,44,1,45,1,45,1,45,1,45,1,45,1,45,1,45,1,
        45,1,45,1,45,1,45,1,45,1,45,1,45,1,45,1,45,1,45,1,45,1,45,3,45,438,
        8,45,1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,
        1,46,1,46,1,46,3,46,455,8,46,1,47,1,47,1,47,1,47,1,47,1,48,1,48,
        1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,48,3,48,473,8,48,1,49,
        1,49,1,49,1,49,1,49,1,49,1,49,1,49,1,49,1,49,1,49,3,49,486,8,49,
        1,50,1,50,1,50,1,50,1,50,1,50,1,51,1,51,1,51,1,51,1,51,1,52,1,52,
        1,52,1,52,1,52,1,53,1,53,1,53,1,53,1,53,1,54,1,54,1,54,1,54,1,55,
        1,55,1,55,1,55,1,55,1,56,1,56,1,56,1,56,1,57,1,57,1,57,1,57,1,58,
        1,58,1,58,1,58,1,58,1,58,1,58,1,58,1,58,1,58,1,58,1,58,1,58,1,58,
        1,58,3,58,541,8,58,1,59,1,59,1,59,1,59,1,59,1,59,1,59,1,59,1,59,
        1,59,1,59,1,59,1,59,1,59,1,59,3,59,558,8,59,1,60,1,60,1,60,1,60,
        1,60,1,60,1,60,1,60,1,60,1,61,1,61,1,61,1,61,1,62,1,62,1,63,1,63,
        1,64,1,64,1,65,1,65,1,66,1,66,1,67,1,67,1,68,1,68,1,68,1,69,1,69,
        1,70,1,70,1,70,1,71,1,71,1,72,1,72,1,72,1,73,1,73,1,73,1,74,1,74,
        1,75,1,75,1,76,1,76,1,77,1,77,1,78,1,78,1,79,1,79,1,80,1,80,1,80,
        1,80,1,80,3,80,618,8,80,1,81,4,81,621,8,81,11,81,12,81,622,1,81,
        1,81,4,81,627,8,81,11,81,12,81,628,3,81,631,8,81,1,82,1,82,5,82,
        635,8,82,10,82,12,82,638,9,82,1,83,4,83,641,8,83,11,83,12,83,642,
        1,83,1,83,0,0,84,1,1,3,2,5,3,7,4,9,5,11,6,13,7,15,8,17,9,19,10,21,
        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,
        165,83,167,84,1,0,5,2,0,69,69,101,101,1,0,48,57,3,0,65,90,95,95,
        97,122,4,0,48,57,65,90,95,95,97,122,3,0,9,10,13,13,32,32,659,0,1,
        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,
        0,0,0,167,1,0,0,0,1,169,1,0,0,0,3,173,1,0,0,0,5,177,1,0,0,0,7,181,
        1,0,0,0,9,186,1,0,0,0,11,191,1,0,0,0,13,196,1,0,0,0,15,202,1,0,0,
        0,17,207,1,0,0,0,19,212,1,0,0,0,21,217,1,0,0,0,23,223,1,0,0,0,25,
        229,1,0,0,0,27,235,1,0,0,0,29,239,1,0,0,0,31,244,1,0,0,0,33,247,
        1,0,0,0,35,251,1,0,0,0,37,255,1,0,0,0,39,260,1,0,0,0,41,265,1,0,
        0,0,43,270,1,0,0,0,45,275,1,0,0,0,47,281,1,0,0,0,49,287,1,0,0,0,
        51,293,1,0,0,0,53,298,1,0,0,0,55,304,1,0,0,0,57,310,1,0,0,0,59,314,
        1,0,0,0,61,319,1,0,0,0,63,325,1,0,0,0,65,329,1,0,0,0,67,334,1,0,
        0,0,69,340,1,0,0,0,71,361,1,0,0,0,73,363,1,0,0,0,75,368,1,0,0,0,
        77,373,1,0,0,0,79,384,1,0,0,0,81,390,1,0,0,0,83,395,1,0,0,0,85,404,
        1,0,0,0,87,409,1,0,0,0,89,414,1,0,0,0,91,437,1,0,0,0,93,454,1,0,
        0,0,95,456,1,0,0,0,97,472,1,0,0,0,99,485,1,0,0,0,101,487,1,0,0,0,
        103,493,1,0,0,0,105,498,1,0,0,0,107,503,1,0,0,0,109,508,1,0,0,0,
        111,512,1,0,0,0,113,517,1,0,0,0,115,521,1,0,0,0,117,540,1,0,0,0,
        119,557,1,0,0,0,121,559,1,0,0,0,123,568,1,0,0,0,125,572,1,0,0,0,
        127,574,1,0,0,0,129,576,1,0,0,0,131,578,1,0,0,0,133,580,1,0,0,0,
        135,582,1,0,0,0,137,584,1,0,0,0,139,587,1,0,0,0,141,589,1,0,0,0,
        143,592,1,0,0,0,145,594,1,0,0,0,147,597,1,0,0,0,149,600,1,0,0,0,
        151,602,1,0,0,0,153,604,1,0,0,0,155,606,1,0,0,0,157,608,1,0,0,0,
        159,610,1,0,0,0,161,617,1,0,0,0,163,620,1,0,0,0,165,632,1,0,0,0,
        167,640,1,0,0,0,169,170,5,115,0,0,170,171,5,105,0,0,171,172,5,110,
        0,0,172,2,1,0,0,0,173,174,5,99,0,0,174,175,5,111,0,0,175,176,5,115,
        0,0,176,4,1,0,0,0,177,178,5,116,0,0,178,179,5,97,0,0,179,180,5,110,
        0,0,180,6,1,0,0,0,181,182,5,97,0,0,182,183,5,115,0,0,183,184,5,105,
        0,0,184,185,5,110,0,0,185,8,1,0,0,0,186,187,5,97,0,0,187,188,5,99,
        0,0,188,189,5,111,0,0,189,190,5,115,0,0,190,10,1,0,0,0,191,192,5,
        97,0,0,192,193,5,116,0,0,193,194,5,97,0,0,194,195,5,110,0,0,195,
        12,1,0,0,0,196,197,5,97,0,0,197,198,5,116,0,0,198,199,5,97,0,0,199,
        200,5,110,0,0,200,201,5,50,0,0,201,14,1,0,0,0,202,203,5,115,0,0,
        203,204,5,105,0,0,204,205,5,110,0,0,205,206,5,104,0,0,206,16,1,0,
        0,0,207,208,5,99,0,0,208,209,5,111,0,0,209,210,5,115,0,0,210,211,
        5,104,0,0,211,18,1,0,0,0,212,213,5,116,0,0,213,214,5,97,0,0,214,
        215,5,110,0,0,215,216,5,104,0,0,216,20,1,0,0,0,217,218,5,97,0,0,
        218,219,5,115,0,0,219,220,5,105,0,0,220,221,5,110,0,0,221,222,5,
        104,0,0,222,22,1,0,0,0,223,224,5,97,0,0,224,225,5,99,0,0,225,226,
        5,111,0,0,226,227,5,115,0,0,227,228,5,104,0,0,228,24,1,0,0,0,229,
        230,5,97,0,0,230,231,5,116,0,0,231,232,5,97,0,0,232,233,5,110,0,
        0,233,234,5,104,0,0,234,26,1,0,0,0,235,236,5,97,0,0,236,237,5,98,
        0,0,237,238,5,115,0,0,238,28,1,0,0,0,239,240,5,115,0,0,240,241,5,
        113,0,0,241,242,5,114,0,0,242,243,5,116,0,0,243,30,1,0,0,0,244,245,
        5,108,0,0,245,246,5,110,0,0,246,32,1,0,0,0,247,248,5,108,0,0,248,
        249,5,111,0,0,249,250,5,103,0,0,250,34,1,0,0,0,251,252,5,101,0,0,
        252,253,5,120,0,0,253,254,5,112,0,0,254,36,1,0,0,0,255,256,5,115,
        0,0,256,257,5,109,0,0,257,258,5,105,0,0,258,259,5,110,0,0,259,38,
        1,0,0,0,260,261,5,115,0,0,261,262,5,109,0,0,262,263,5,97,0,0,263,
        264,5,120,0,0,264,40,1,0,0,0,265,266,5,116,0,0,266,267,5,109,0,0,
        267,268,5,105,0,0,268,269,5,110,0,0,269,42,1,0,0,0,270,271,5,116,
        0,0,271,272,5,109,0,0,272,273,5,97,0,0,273,274,5,120,0,0,274,44,
        1,0,0,0,275,276,5,116,0,0,276,277,5,110,0,0,277,278,5,111,0,0,278,
        279,5,114,0,0,279,280,5,109,0,0,280,46,1,0,0,0,281,282,5,115,0,0,
        282,283,5,110,0,0,283,284,5,111,0,0,284,285,5,114,0,0,285,286,5,
        109,0,0,286,48,1,0,0,0,287,288,5,102,0,0,288,289,5,108,0,0,289,290,
        5,111,0,0,290,291,5,111,0,0,291,292,5,114,0,0,292,50,1,0,0,0,293,
        294,5,99,0,0,294,295,5,101,0,0,295,296,5,105,0,0,296,297,5,108,0,
        0,297,52,1,0,0,0,298,299,5,114,0,0,299,300,5,111,0,0,300,301,5,117,
        0,0,301,302,5,110,0,0,302,303,5,100,0,0,303,54,1,0,0,0,304,305,5,
        103,0,0,305,306,5,97,0,0,306,307,5,109,0,0,307,308,5,109,0,0,308,
        309,5,97,0,0,309,56,1,0,0,0,310,311,5,112,0,0,311,312,5,111,0,0,
        312,313,5,119,0,0,313,58,1,0,0,0,314,315,5,115,0,0,315,316,5,105,
        0,0,316,317,5,103,0,0,317,318,5,109,0,0,318,60,1,0,0,0,319,320,5,
        99,0,0,320,321,5,108,0,0,321,322,5,97,0,0,322,323,5,109,0,0,323,
        324,5,112,0,0,324,62,1,0,0,0,325,326,5,102,0,0,326,327,5,102,0,0,
        327,328,5,116,0,0,328,64,1,0,0,0,329,330,5,105,0,0,330,331,5,102,
        0,0,331,332,5,102,0,0,332,333,5,116,0,0,333,66,1,0,0,0,334,335,5,
        97,0,0,335,336,5,110,0,0,336,337,5,103,0,0,337,338,5,108,0,0,338,
        339,5,101,0,0,339,68,1,0,0,0,340,341,5,112,0,0,341,342,5,114,0,0,
        342,343,5,105,0,0,343,344,5,110,0,0,344,345,5,116,0,0,345,70,1,0,
        0,0,346,347,5,112,0,0,347,348,5,114,0,0,348,349,5,105,0,0,349,350,
        5,110,0,0,350,351,5,116,0,0,351,352,5,95,0,0,352,353,5,115,0,0,353,
        354,5,104,0,0,354,355,5,97,0,0,355,356,5,112,0,0,356,362,5,101,0,
        0,357,358,5,112,0,0,358,359,5,115,0,0,359,360,5,104,0,0,360,362,
        5,112,0,0,361,346,1,0,0,0,361,357,1,0,0,0,362,72,1,0,0,0,363,364,
        5,108,0,0,364,365,5,101,0,0,365,366,5,114,0,0,366,367,5,112,0,0,
        367,74,1,0,0,0,368,369,5,115,0,0,369,370,5,116,0,0,370,371,5,101,
        0,0,371,372,5,112,0,0,372,76,1,0,0,0,373,374,5,115,0,0,374,375,5,
        109,0,0,375,376,5,111,0,0,376,377,5,111,0,0,377,378,5,116,0,0,378,
        379,5,104,0,0,379,380,5,115,0,0,380,381,5,116,0,0,381,382,5,101,
        0,0,382,383,5,112,0,0,383,78,1,0,0,0,384,385,5,102,0,0,385,386,5,
        114,0,0,386,387,5,97,0,0,387,388,5,99,0,0,388,389,5,116,0,0,389,
        80,1,0,0,0,390,391,5,114,0,0,391,392,5,101,0,0,392,393,5,108,0,0,
        393,394,5,117,0,0,394,82,1,0,0,0,395,396,5,115,0,0,396,397,5,111,
        0,0,397,398,5,102,0,0,398,399,5,116,0,0,399,400,5,112,0,0,400,401,
        5,108,0,0,401,402,5,117,0,0,402,403,5,115,0,0,403,84,1,0,0,0,404,
        405,5,103,0,0,405,406,5,101,0,0,406,407,5,108,0,0,407,408,5,117,
        0,0,408,86,1,0,0,0,409,410,5,115,0,0,410,411,5,105,0,0,411,412,5,
        103,0,0,412,413,5,110,0,0,413,88,1,0,0,0,414,415,5,109,0,0,415,416,
        5,97,0,0,416,417,5,112,0,0,417,90,1,0,0,0,418,419,5,101,0,0,419,
        420,5,122,0,0,420,421,5,99,0,0,421,422,5,111,0,0,422,423,5,110,0,
        0,423,424,5,118,0,0,424,425,5,111,0,0,425,426,5,108,0,0,426,427,
        5,117,0,0,427,428,5,116,0,0,428,429,5,105,0,0,429,430,5,111,0,0,
        430,438,5,110,0,0,431,432,5,101,0,0,432,433,5,122,0,0,433,434,5,
        99,0,0,434,435,5,111,0,0,435,436,5,110,0,0,436,438,5,118,0,0,437,
        418,1,0,0,0,437,431,1,0,0,0,438,92,1,0,0,0,439,440,5,99,0,0,440,
        441,5,111,0,0,441,442,5,110,0,0,442,443,5,118,0,0,443,444,5,111,
        0,0,444,445,5,108,0,0,445,446,5,117,0,0,446,447,5,116,0,0,447,448,
        5,105,0,0,448,449,5,111,0,0,449,455,5,110,0,0,450,451,5,99,0,0,451,
        452,5,111,0,0,452,453,5,110,0,0,453,455,5,118,0,0,454,439,1,0,0,
        0,454,450,1,0,0,0,455,94,1,0,0,0,456,457,5,115,0,0,457,458,5,119,
        0,0,458,459,5,97,0,0,459,460,5,112,0,0,460,96,1,0,0,0,461,462,5,
        112,0,0,462,463,5,101,0,0,463,464,5,114,0,0,464,465,5,109,0,0,465,
        466,5,117,0,0,466,467,5,116,0,0,467,473,5,101,0,0,468,469,5,112,
        0,0,469,470,5,101,0,0,470,471,5,114,0,0,471,473,5,109,0,0,472,461,
        1,0,0,0,472,468,1,0,0,0,473,98,1,0,0,0,474,475,5,114,0,0,475,476,
        5,101,0,0,476,477,5,115,0,0,477,478,5,104,0,0,478,479,5,97,0,0,479,
        480,5,112,0,0,480,486,5,101,0,0,481,482,5,114,0,0,482,483,5,115,
        0,0,483,484,5,104,0,0,484,486,5,112,0,0,485,474,1,0,0,0,485,481,
        1,0,0,0,486,100,1,0,0,0,487,488,5,114,0,0,488,489,5,97,0,0,489,490,
        5,110,0,0,490,491,5,103,0,0,491,492,5,101,0,0,492,102,1,0,0,0,493,
        494,5,116,0,0,494,495,5,111,0,0,495,496,5,112,0,0,496,497,5,107,
        0,0,497,104,1,0,0,0,498,499,5,98,0,0,499,500,5,111,0,0,500,501,5,
        116,0,0,501,502,5,107,0,0,502,106,1,0,0,0,503,504,5,112,0,0,504,
        505,5,105,0,0,505,506,5,110,0,0,506,507,5,118,0,0,507,108,1,0,0,
        0,508,509,5,115,0,0,509,510,5,117,0,0,510,511,5,109,0,0,511,110,
        1,0,0,0,512,513,5,109,0,0,513,514,5,101,0,0,514,515,5,97,0,0,515,
        516,5,110,0,0,516,112,1,0,0,0,517,518,5,115,0,0,518,519,5,116,0,
        0,519,520,5,100,0,0,520,114,1,0,0,0,521,522,5,118,0,0,522,523,5,
        97,0,0,523,524,5,114,0,0,524,116,1,0,0,0,525,526,5,113,0,0,526,527,
        5,117,0,0,527,528,5,97,0,0,528,529,5,114,0,0,529,530,5,116,0,0,530,
        531,5,105,0,0,531,532,5,108,0,0,532,541,5,101,0,0,533,534,5,113,
        0,0,534,535,5,117,0,0,535,536,5,97,0,0,536,537,5,114,0,0,537,538,
        5,116,0,0,538,539,5,105,0,0,539,541,5,108,0,0,540,525,1,0,0,0,540,
        533,1,0,0,0,541,118,1,0,0,0,542,543,5,112,0,0,543,544,5,101,0,0,
        544,545,5,114,0,0,545,546,5,99,0,0,546,547,5,101,0,0,547,548,5,110,
        0,0,548,549,5,116,0,0,549,550,5,105,0,0,550,551,5,108,0,0,551,558,
        5,101,0,0,552,553,5,112,0,0,553,554,5,114,0,0,554,555,5,99,0,0,555,
        556,5,110,0,0,556,558,5,116,0,0,557,542,1,0,0,0,557,552,1,0,0,0,
        558,120,1,0,0,0,559,560,5,113,0,0,560,561,5,117,0,0,561,562,5,97,
        0,0,562,563,5,110,0,0,563,564,5,116,0,0,564,565,5,105,0,0,565,566,
        5,108,0,0,566,567,5,101,0,0,567,122,1,0,0,0,568,569,5,100,0,0,569,
        570,5,111,0,0,570,571,5,116,0,0,571,124,1,0,0,0,572,573,5,43,0,0,
        573,126,1,0,0,0,574,575,5,45,0,0,575,128,1,0,0,0,576,577,5,42,0,
        0,577,130,1,0,0,0,578,579,5,47,0,0,579,132,1,0,0,0,580,581,5,37,
        0,0,581,134,1,0,0,0,582,583,5,94,0,0,583,136,1,0,0,0,584,585,5,62,
        0,0,585,586,5,61,0,0,586,138,1,0,0,0,587,588,5,62,0,0,588,140,1,
        0,0,0,589,590,5,60,0,0,590,591,5,61,0,0,591,142,1,0,0,0,592,593,
        5,60,0,0,593,144,1,0,0,0,594,595,5,61,0,0,595,596,5,61,0,0,596,146,
        1,0,0,0,597,598,5,33,0,0,598,599,5,61,0,0,599,148,1,0,0,0,600,601,
        5,124,0,0,601,150,1,0,0,0,602,603,5,40,0,0,603,152,1,0,0,0,604,605,
        5,41,0,0,605,154,1,0,0,0,606,607,5,44,0,0,607,156,1,0,0,0,608,609,
        5,91,0,0,609,158,1,0,0,0,610,611,5,93,0,0,611,160,1,0,0,0,612,613,
        5,112,0,0,613,618,5,105,0,0,614,615,5,80,0,0,615,618,5,73,0,0,616,
        618,7,0,0,0,617,612,1,0,0,0,617,614,1,0,0,0,617,616,1,0,0,0,618,
        162,1,0,0,0,619,621,7,1,0,0,620,619,1,0,0,0,621,622,1,0,0,0,622,
        620,1,0,0,0,622,623,1,0,0,0,623,630,1,0,0,0,624,626,5,46,0,0,625,
        627,7,1,0,0,626,625,1,0,0,0,627,628,1,0,0,0,628,626,1,0,0,0,628,
        629,1,0,0,0,629,631,1,0,0,0,630,624,1,0,0,0,630,631,1,0,0,0,631,
        164,1,0,0,0,632,636,7,2,0,0,633,635,7,3,0,0,634,633,1,0,0,0,635,
        638,1,0,0,0,636,634,1,0,0,0,636,637,1,0,0,0,637,166,1,0,0,0,638,
        636,1,0,0,0,639,641,7,4,0,0,640,639,1,0,0,0,641,642,1,0,0,0,642,
        640,1,0,0,0,642,643,1,0,0,0,643,644,1,0,0,0,644,645,6,83,0,0,645,
        168,1,0,0,0,14,0,361,437,454,472,485,540,557,617,622,628,630,636,
        642,1,6,0,0
    ]

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
    LERP = 37
    STEP = 38
    SMOOTHSTEP = 39
    FRACT = 40
    RELU = 41
    SOFTPLUS = 42
    GELU = 43
    SIGN = 44
    MAP = 45
    EZCONV = 46
    CONV = 47
    SWAP = 48
    PERM = 49
    RESHAPE = 50
    RANGE = 51
    TOPK = 52
    BOTK = 53
    PINV = 54
    SUM = 55
    MEAN = 56
    STD = 57
    VAR = 58
    QUARTILE = 59
    PERCENTILE = 60
    QUANTILE = 61
    DOT = 62
    PLUS = 63
    MINUS = 64
    MULT = 65
    DIV = 66
    MOD = 67
    POW = 68
    GE = 69
    GT = 70
    LE = 71
    LT = 72
    EQ = 73
    NE = 74
    PIPE = 75
    LPAREN = 76
    RPAREN = 77
    COMMA = 78
    LBRACKET = 79
    RBRACKET = 80
    CONSTANT = 81
    NUMBER = 82
    VARIABLE = 83
    WS = 84

    channelNames = [ u"DEFAULT_TOKEN_CHANNEL", u"HIDDEN" ]

    modeNames = [ "DEFAULT_MODE" ]

    literalNames = [ "<INVALID>",
            "'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'", "'+'", "'-'", 
            "'*'", "'/'", "'%'", "'^'", "'>='", "'>'", "'<='", "'<'", "'=='", 
            "'!='", "'|'", "'('", "')'", "','", "'['", "']'" ]

    symbolicNames = [ "<INVALID>",
            "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", "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", "PLUS", "MINUS", "MULT", "DIV", "MOD", "POW", 
            "GE", "GT", "LE", "LT", "EQ", "NE", "PIPE", "LPAREN", "RPAREN", 
            "COMMA", "LBRACKET", "RBRACKET", "CONSTANT", "NUMBER", "VARIABLE", 
            "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", 
                  "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", 
                  "PLUS", "MINUS", "MULT", "DIV", "MOD", "POW", "GE", "GT", 
                  "LE", "LT", "EQ", "NE", "PIPE", "LPAREN", "RPAREN", "COMMA", 
                  "LBRACKET", "RBRACKET", "CONSTANT", "NUMBER", "VARIABLE", 
                  "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