# 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 [ 4,0,307,3722,6,-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, 2,230,7,230,2,231,7,231,2,232,7,232,2,233,7,233,2,234,7,234,2,235, 7,235,2,236,7,236,2,237,7,237,2,238,7,238,2,239,7,239,2,240,7,240, 2,241,7,241,2,242,7,242,2,243,7,243,2,244,7,244,2,245,7,245,2,246, 7,246,2,247,7,247,2,248,7,248,2,249,7,249,2,250,7,250,2,251,7,251, 2,252,7,252,2,253,7,253,2,254,7,254,2,255,7,255,2,256,7,256,2,257, 7,257,2,258,7,258,2,259,7,259,2,260,7,260,2,261,7,261,2,262,7,262, 2,263,7,263,2,264,7,264,2,265,7,265,2,266,7,266,2,267,7,267,2,268, 7,268,2,269,7,269,2,270,7,270,2,271,7,271,2,272,7,272,2,273,7,273, 2,274,7,274,2,275,7,275,2,276,7,276,2,277,7,277,2,278,7,278,2,279, 7,279,2,280,7,280,2,281,7,281,2,282,7,282,2,283,7,283,2,284,7,284, 2,285,7,285,2,286,7,286,2,287,7,287,2,288,7,288,2,289,7,289,2,290, 7,290,2,291,7,291,2,292,7,292,2,293,7,293,2,294,7,294,2,295,7,295, 2,296,7,296,2,297,7,297,2,298,7,298,2,299,7,299,2,300,7,300,2,301, 7,301,2,302,7,302,2,303,7,303,2,304,7,304,2,305,7,305,2,306,7,306, 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, 1,14,1,15,1,15,1,15,1,16,1,16,1,16,1,16,1,17,1,17,1,17,1,17,1,17, 1,18,1,18,1,18,1,18,1,19,1,19,1,19,1,19,1,19,1,19,1,20,1,20,1,20, 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, 1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,24,1,24, 1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,25,1,25,1,25,1,25,1,25, 1,25,1,25,1,25,1,25,1,25,1,26,1,26,1,26,1,26,1,26,1,27,1,27,1,27, 1,27,1,27,1,27,1,27,1,27,1,27,1,27,1,28,1,28,1,28,1,28,1,28,1,28, 1,28,1,28,1,28,1,28,1,28,1,29,1,29,1,29,1,29,1,29,1,29,1,30,1,30, 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, 1,35,1,35,1,35,1,35,1,35,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36, 1,36,1,37,1,37,1,37,1,37,1,37,1,38,1,38,1,38,1,38,1,38,1,39,1,39, 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, 1,41,1,42,1,42,1,42,1,42,1,42,1,42,1,43,1,43,1,43,1,43,1,43,1,43, 1,44,1,44,1,44,1,44,1,44,1,45,1,45,1,45,1,45,1,45,1,45,1,46,1,46, 1,46,1,46,1,46,1,46,1,47,1,47,1,47,1,47,1,48,1,48,1,48,1,48,1,48, 1,49,1,49,1,49,1,49,1,49,1,49,1,49,1,49,1,49,1,49,1,49,1,49,1,50, 1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50, 1,50,1,50,1,50,1,51,1,51,1,51,1,51,1,51,1,51,1,51,1,51,1,51,1,51, 1,51,1,51,1,51,1,51,1,51,1,51,1,51,1,51,1,51,1,51,1,51,1,52,1,52, 1,52,1,52,1,52,1,52,1,52,1,52,1,52,1,52,1,52,1,52,1,52,1,53,1,53, 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, 1,56,1,56,1,56,1,56,1,56,1,56,1,57,1,57,1,57,1,57,1,57,1,57,1,58, 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, 1,58,3,58,1003,8,58,1,59,1,59,1,59,1,59,1,59,1,59,1,59,1,59,1,59, 1,59,1,59,1,59,1,59,3,59,1018,8,59,1,60,1,60,1,60,1,60,1,60,1,61, 1,61,1,61,1,61,1,61,1,61,1,61,1,62,1,62,1,62,1,62,1,62,1,62,1,63, 1,63,1,63,1,63,1,63,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64, 1,64,1,64,1,65,1,65,1,65,1,65,1,65,1,65,1,66,1,66,1,66,1,66,1,66, 1,67,1,67,1,67,1,67,1,67,1,67,1,67,1,67,1,67,1,68,1,68,1,68,1,68, 1,68,1,68,1,68,1,68,1,68,1,68,1,68,1,69,1,69,1,69,1,69,1,69,1,69, 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, 1,72,1,72,1,72,1,72,1,72,1,73,1,73,1,73,1,73,1,73,1,73,1,73,1,73, 1,74,1,74,1,74,1,74,1,74,1,74,1,74,1,74,1,75,1,75,1,75,1,75,1,75, 1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,76,1,76,1,76,1,76,1,76,1,76, 1,76,1,76,1,76,1,76,1,76,1,76,1,77,1,77,1,77,1,77,1,77,1,77,1,77, 1,77,1,77,1,77,1,77,1,78,1,78,1,78,1,78,1,78,1,78,1,79,1,79,1,79, 1,79,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80, 1,80,1,80,1,80,1,80,1,80,1,80,1,80,3,80,1189,8,80,1,81,1,81,1,81, 1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,3,81, 1206,8,81,1,82,1,82,1,82,1,82,1,82,1,83,1,83,1,83,1,83,1,83,1,83, 1,83,1,83,1,83,1,83,1,83,1,83,1,83,1,83,1,83,1,83,1,83,3,83,1230, 8,83,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,3,84, 1243,8,84,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85, 3,85,1256,8,85,1,86,1,86,1,86,1,86,1,86,1,86,1,87,1,87,1,87,1,87, 1,87,1,87,1,87,1,87,1,87,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88, 1,88,1,89,1,89,1,89,1,89,1,89,1,90,1,90,1,90,1,90,1,90,1,91,1,91, 1,91,1,91,1,91,1,92,1,92,1,92,1,92,1,93,1,93,1,93,1,93,1,94,1,94, 1,94,1,94,1,94,1,95,1,95,1,95,1,95,1,96,1,96,1,96,1,96,1,97,1,97, 1,97,1,97,1,97,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,99,1,99, 1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,100,1,100,1,100,1,100,1,100, 1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,3,100, 1355,8,100,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101, 1,101,1,101,1,101,1,101,1,101,1,101,3,101,1372,8,101,1,102,1,102, 1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,103,1,103,1,103,1,103, 1,104,1,104,1,104,1,104,1,104,1,104,1,104,1,105,1,105,1,105,1,105, 1,106,1,106,1,106,1,106,1,106,1,107,1,107,1,107,1,107,1,107,1,107, 1,107,1,108,1,108,1,108,1,108,1,109,1,109,1,109,1,109,1,110,1,110, 1,110,1,110,1,110,1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111, 1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111, 1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,113, 1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,113, 3,113,1464,8,113,1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,115, 1,115,1,115,1,115,1,115,1,116,1,116,1,116,1,116,1,116,1,116,1,116, 1,117,1,117,1,117,1,117,1,117,1,117,1,117,1,117,1,118,1,118,1,118, 1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118, 1,118,1,118,1,118,1,118,1,118,1,118,3,118,1513,8,118,1,119,1,119, 1,119,1,119,1,119,1,119,1,119,1,119,1,119,1,119,1,119,1,119,1,119, 1,119,1,119,1,119,1,119,1,119,1,119,1,119,3,119,1535,8,119,1,120, 1,120,1,120,1,120,1,120,1,120,1,120,1,120,1,120,1,120,1,120,1,120, 1,120,1,120,1,120,3,120,1552,8,120,1,121,1,121,1,121,1,121,1,121, 1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121, 1,121,1,121,1,121,3,121,1573,8,121,1,122,1,122,1,122,1,122,1,122, 1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122,3,122,1588,8,122, 1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,123, 1,123,1,123,1,124,1,124,1,124,1,124,1,124,1,124,1,124,1,124,1,124, 1,124,1,124,1,124,3,124,1615,8,124,1,125,1,125,1,125,1,125,1,125, 1,125,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126, 1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126, 1,126,1,126,3,126,1646,8,126,1,127,1,127,1,127,1,127,1,127,1,127, 1,127,1,127,1,127,1,127,1,127,1,127,1,127,1,127,3,127,1662,8,127, 1,128,1,128,1,128,1,128,1,128,1,129,1,129,1,129,1,129,1,129,1,129, 1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129, 1,129,1,129,1,129,1,129,1,129,1,129,3,129,1692,8,129,1,130,1,130, 1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130, 1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130, 1,130,3,130,1719,8,130,1,131,1,131,1,131,1,131,1,131,1,131,1,131, 1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131, 1,131,1,131,1,131,1,131,1,131,1,131,1,131,3,131,1746,8,131,1,132, 1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132, 1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132, 1,132,1,132,1,132,1,132,1,132,3,132,1776,8,132,1,133,1,133,1,133, 1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133, 1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,3,133, 1802,8,133,1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134, 1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134, 1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134,3,134,1832,8,134, 1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135, 1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135, 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8,249,1,250,1,250,1,250,1,250,1,250,1,250,1,250,1,250,1,250,1,250, 1,250,1,250,1,250,1,250,1,250,1,250,1,250,1,250,1,250,1,250,1,250, 1,250,1,250,3,250,3132,8,250,1,251,1,251,1,251,1,251,1,251,1,251, 1,251,1,251,1,251,1,251,1,251,1,251,1,251,1,251,1,251,1,251,1,251, 1,251,3,251,3152,8,251,1,252,1,252,1,252,1,252,1,252,1,252,1,252, 1,252,1,252,1,252,1,252,1,252,1,252,1,252,1,252,1,252,1,252,1,252, 1,252,1,252,1,252,1,252,1,252,3,252,3177,8,252,1,253,1,253,1,253, 1,253,1,253,1,253,1,253,1,253,1,253,1,253,1,253,1,253,1,253,1,253, 1,253,1,253,1,253,1,253,1,253,1,253,1,253,1,253,1,253,3,253,3202, 8,253,1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254, 1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254, 3,254,3225,8,254,1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255, 1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255, 3,255,3246,8,255,1,256,1,256,1,256,1,256,1,256,1,256,1,256,1,256, 1,256,1,256,1,256,1,256,1,256,1,256,1,256,1,256,1,256,3,256,3265, 8,256,1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257, 1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,3,257,3286, 8,257,1,258,1,258,1,258,1,258,1,258,1,258,1,258,1,258,1,258,1,258, 1,258,1,258,1,258,1,258,1,258,1,258,1,258,1,258,1,258,3,258,3307, 8,258,1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259, 1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259, 1,259,1,259,3,259,3332,8,259,1,260,1,260,1,260,1,260,1,260,1,260, 1,260,1,260,1,260,1,260,1,260,1,260,1,260,1,260,1,260,1,260,1,260, 1,260,1,260,3,260,3353,8,260,1,261,1,261,1,261,1,261,1,261,1,261, 1,261,1,261,1,261,1,261,1,261,1,261,1,261,1,261,1,261,1,261,1,261, 1,261,1,261,3,261,3374,8,261,1,262,1,262,1,262,1,262,1,262,1,262, 1,262,1,262,1,262,1,262,1,262,1,262,1,262,1,262,1,262,1,262,1,262, 1,262,1,262,1,262,3,262,3396,8,262,1,263,1,263,1,263,1,263,1,263, 1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263, 1,263,1,263,3,263,3416,8,263,1,264,1,264,1,264,1,264,1,264,1,264, 1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264, 1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264, 1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264, 1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,3,264,3466, 8,264,1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265, 1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265, 1,265,1,265,1,265,1,265,1,265,1,265,1,265,3,265,3496,8,265,1,266, 1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266, 1,266,1,266,1,266,1,266,1,266,1,266,3,266,3516,8,266,1,267,1,267, 1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267, 1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267, 1,267,1,267,1,267,1,267,3,267,3546,8,267,1,268,1,268,1,269,1,269, 1,270,1,270,1,271,1,271,1,272,1,272,1,273,1,273,1,274,1,274,1,274, 1,275,1,275,1,275,1,276,1,276,1,276,1,277,1,277,1,278,1,278,1,278, 1,279,1,279,1,280,1,280,1,280,1,281,1,281,1,282,1,282,1,282,1,283, 1,283,1,283,1,284,1,284,1,284,1,285,1,285,1,285,1,286,1,286,1,286, 1,287,1,287,1,287,1,288,1,288,1,289,1,289,1,290,1,290,1,291,1,291, 1,292,1,292,1,293,1,293,1,293,1,294,1,294,1,295,1,295,1,296,1,296, 1,297,1,297,1,298,1,298,1,299,1,299,1,300,4,300,3625,8,300,11,300, 12,300,3626,1,300,1,300,5,300,3631,8,300,10,300,12,300,3634,9,300, 3,300,3636,8,300,1,300,1,300,4,300,3640,8,300,11,300,12,300,3641, 3,300,3644,8,300,1,300,1,300,3,300,3648,8,300,1,300,4,300,3651,8, 300,11,300,12,300,3652,3,300,3655,8,300,1,301,1,301,1,301,1,301, 1,301,3,301,3662,8,301,1,302,1,302,1,302,1,302,5,302,3668,8,302, 10,302,12,302,3671,9,302,1,302,1,302,1,302,1,302,1,302,5,302,3678, 8,302,10,302,12,302,3681,9,302,1,302,3,302,3684,8,302,1,303,1,303, 5,303,3688,8,303,10,303,12,303,3691,9,303,1,304,1,304,5,304,3695, 8,304,10,304,12,304,3698,9,304,1,304,1,304,1,305,1,305,1,305,1,305, 5,305,3706,8,305,10,305,12,305,3709,9,305,1,305,1,305,1,305,1,305, 1,305,1,306,4,306,3717,8,306,11,306,12,306,3718,1,306,1,306,1,3707, 0,307,1,1,3,2,5,3,7,4,9,5,11,6,13,7,15,8,17,9,19,10,21,11,23,12, 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, 461,231,463,232,465,233,467,234,469,235,471,236,473,237,475,238, 477,239,479,240,481,241,483,242,485,243,487,244,489,245,491,246, 493,247,495,248,497,249,499,250,501,251,503,252,505,253,507,254, 509,255,511,256,513,257,515,258,517,259,519,260,521,261,523,262, 525,263,527,264,529,265,531,266,533,267,535,268,537,269,539,270, 541,271,543,272,545,273,547,274,549,275,551,276,553,277,555,278, 557,279,559,280,561,281,563,282,565,283,567,284,569,285,571,286, 573,287,575,288,577,289,579,290,581,291,583,292,585,293,587,294, 589,295,591,296,593,297,595,298,597,299,599,300,601,301,603,302, 605,303,607,304,609,305,611,306,613,307,1,0,9,1,0,48,57,2,0,69,69, 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, 2,0,10,10,13,13,3,0,9,10,13,13,32,32,3818,0,1,1,0,0,0,0,3,1,0,0, 0,0,5,1,0,0,0,0,7,1,0,0,0,0,9,1,0,0,0,0,11,1,0,0,0,0,13,1,0,0,0, 0,15,1,0,0,0,0,17,1,0,0,0,0,19,1,0,0,0,0,21,1,0,0,0,0,23,1,0,0,0, 0,25,1,0,0,0,0,27,1,0,0,0,0,29,1,0,0,0,0,31,1,0,0,0,0,33,1,0,0,0, 0,35,1,0,0,0,0,37,1,0,0,0,0,39,1,0,0,0,0,41,1,0,0,0,0,43,1,0,0,0, 0,45,1,0,0,0,0,47,1,0,0,0,0,49,1,0,0,0,0,51,1,0,0,0,0,53,1,0,0,0, 0,55,1,0,0,0,0,57,1,0,0,0,0,59,1,0,0,0,0,61,1,0,0,0,0,63,1,0,0,0, 0,65,1,0,0,0,0,67,1,0,0,0,0,69,1,0,0,0,0,71,1,0,0,0,0,73,1,0,0,0, 0,75,1,0,0,0,0,77,1,0,0,0,0,79,1,0,0,0,0,81,1,0,0,0,0,83,1,0,0,0, 0,85,1,0,0,0,0,87,1,0,0,0,0,89,1,0,0,0,0,91,1,0,0,0,0,93,1,0,0,0, 0,95,1,0,0,0,0,97,1,0,0,0,0,99,1,0,0,0,0,101,1,0,0,0,0,103,1,0,0, 0,0,105,1,0,0,0,0,107,1,0,0,0,0,109,1,0,0,0,0,111,1,0,0,0,0,113, 1,0,0,0,0,115,1,0,0,0,0,117,1,0,0,0,0,119,1,0,0,0,0,121,1,0,0,0, 0,123,1,0,0,0,0,125,1,0,0,0,0,127,1,0,0,0,0,129,1,0,0,0,0,131,1, 0,0,0,0,133,1,0,0,0,0,135,1,0,0,0,0,137,1,0,0,0,0,139,1,0,0,0,0, 141,1,0,0,0,0,143,1,0,0,0,0,145,1,0,0,0,0,147,1,0,0,0,0,149,1,0, 0,0,0,151,1,0,0,0,0,153,1,0,0,0,0,155,1,0,0,0,0,157,1,0,0,0,0,159, 1,0,0,0,0,161,1,0,0,0,0,163,1,0,0,0,0,165,1,0,0,0,0,167,1,0,0,0, 0,169,1,0,0,0,0,171,1,0,0,0,0,173,1,0,0,0,0,175,1,0,0,0,0,177,1, 0,0,0,0,179,1,0,0,0,0,181,1,0,0,0,0,183,1,0,0,0,0,185,1,0,0,0,0, 187,1,0,0,0,0,189,1,0,0,0,0,191,1,0,0,0,0,193,1,0,0,0,0,195,1,0, 0,0,0,197,1,0,0,0,0,199,1,0,0,0,0,201,1,0,0,0,0,203,1,0,0,0,0,205, 1,0,0,0,0,207,1,0,0,0,0,209,1,0,0,0,0,211,1,0,0,0,0,213,1,0,0,0, 0,215,1,0,0,0,0,217,1,0,0,0,0,219,1,0,0,0,0,221,1,0,0,0,0,223,1, 0,0,0,0,225,1,0,0,0,0,227,1,0,0,0,0,229,1,0,0,0,0,231,1,0,0,0,0, 233,1,0,0,0,0,235,1,0,0,0,0,237,1,0,0,0,0,239,1,0,0,0,0,241,1,0, 0,0,0,243,1,0,0,0,0,245,1,0,0,0,0,247,1,0,0,0,0,249,1,0,0,0,0,251, 1,0,0,0,0,253,1,0,0,0,0,255,1,0,0,0,0,257,1,0,0,0,0,259,1,0,0,0, 0,261,1,0,0,0,0,263,1,0,0,0,0,265,1,0,0,0,0,267,1,0,0,0,0,269,1, 0,0,0,0,271,1,0,0,0,0,273,1,0,0,0,0,275,1,0,0,0,0,277,1,0,0,0,0, 279,1,0,0,0,0,281,1,0,0,0,0,283,1,0,0,0,0,285,1,0,0,0,0,287,1,0, 0,0,0,289,1,0,0,0,0,291,1,0,0,0,0,293,1,0,0,0,0,295,1,0,0,0,0,297, 1,0,0,0,0,299,1,0,0,0,0,301,1,0,0,0,0,303,1,0,0,0,0,305,1,0,0,0, 0,307,1,0,0,0,0,309,1,0,0,0,0,311,1,0,0,0,0,313,1,0,0,0,0,315,1, 0,0,0,0,317,1,0,0,0,0,319,1,0,0,0,0,321,1,0,0,0,0,323,1,0,0,0,0, 325,1,0,0,0,0,327,1,0,0,0,0,329,1,0,0,0,0,331,1,0,0,0,0,333,1,0, 0,0,0,335,1,0,0,0,0,337,1,0,0,0,0,339,1,0,0,0,0,341,1,0,0,0,0,343, 1,0,0,0,0,345,1,0,0,0,0,347,1,0,0,0,0,349,1,0,0,0,0,351,1,0,0,0, 0,353,1,0,0,0,0,355,1,0,0,0,0,357,1,0,0,0,0,359,1,0,0,0,0,361,1, 0,0,0,0,363,1,0,0,0,0,365,1,0,0,0,0,367,1,0,0,0,0,369,1,0,0,0,0, 371,1,0,0,0,0,373,1,0,0,0,0,375,1,0,0,0,0,377,1,0,0,0,0,379,1,0, 0,0,0,381,1,0,0,0,0,383,1,0,0,0,0,385,1,0,0,0,0,387,1,0,0,0,0,389, 1,0,0,0,0,391,1,0,0,0,0,393,1,0,0,0,0,395,1,0,0,0,0,397,1,0,0,0, 0,399,1,0,0,0,0,401,1,0,0,0,0,403,1,0,0,0,0,405,1,0,0,0,0,407,1, 0,0,0,0,409,1,0,0,0,0,411,1,0,0,0,0,413,1,0,0,0,0,415,1,0,0,0,0, 417,1,0,0,0,0,419,1,0,0,0,0,421,1,0,0,0,0,423,1,0,0,0,0,425,1,0, 0,0,0,427,1,0,0,0,0,429,1,0,0,0,0,431,1,0,0,0,0,433,1,0,0,0,0,435, 1,0,0,0,0,437,1,0,0,0,0,439,1,0,0,0,0,441,1,0,0,0,0,443,1,0,0,0, 0,445,1,0,0,0,0,447,1,0,0,0,0,449,1,0,0,0,0,451,1,0,0,0,0,453,1, 0,0,0,0,455,1,0,0,0,0,457,1,0,0,0,0,459,1,0,0,0,0,461,1,0,0,0,0, 463,1,0,0,0,0,465,1,0,0,0,0,467,1,0,0,0,0,469,1,0,0,0,0,471,1,0, 0,0,0,473,1,0,0,0,0,475,1,0,0,0,0,477,1,0,0,0,0,479,1,0,0,0,0,481, 1,0,0,0,0,483,1,0,0,0,0,485,1,0,0,0,0,487,1,0,0,0,0,489,1,0,0,0, 0,491,1,0,0,0,0,493,1,0,0,0,0,495,1,0,0,0,0,497,1,0,0,0,0,499,1, 0,0,0,0,501,1,0,0,0,0,503,1,0,0,0,0,505,1,0,0,0,0,507,1,0,0,0,0, 509,1,0,0,0,0,511,1,0,0,0,0,513,1,0,0,0,0,515,1,0,0,0,0,517,1,0, 0,0,0,519,1,0,0,0,0,521,1,0,0,0,0,523,1,0,0,0,0,525,1,0,0,0,0,527, 1,0,0,0,0,529,1,0,0,0,0,531,1,0,0,0,0,533,1,0,0,0,0,535,1,0,0,0, 0,537,1,0,0,0,0,539,1,0,0,0,0,541,1,0,0,0,0,543,1,0,0,0,0,545,1, 0,0,0,0,547,1,0,0,0,0,549,1,0,0,0,0,551,1,0,0,0,0,553,1,0,0,0,0, 555,1,0,0,0,0,557,1,0,0,0,0,559,1,0,0,0,0,561,1,0,0,0,0,563,1,0, 0,0,0,565,1,0,0,0,0,567,1,0,0,0,0,569,1,0,0,0,0,571,1,0,0,0,0,573, 1,0,0,0,0,575,1,0,0,0,0,577,1,0,0,0,0,579,1,0,0,0,0,581,1,0,0,0, 0,583,1,0,0,0,0,585,1,0,0,0,0,587,1,0,0,0,0,589,1,0,0,0,0,591,1, 0,0,0,0,593,1,0,0,0,0,595,1,0,0,0,0,597,1,0,0,0,0,599,1,0,0,0,0, 601,1,0,0,0,0,603,1,0,0,0,0,605,1,0,0,0,0,607,1,0,0,0,0,609,1,0, 0,0,0,611,1,0,0,0,0,613,1,0,0,0,1,615,1,0,0,0,3,619,1,0,0,0,5,623, 1,0,0,0,7,627,1,0,0,0,9,632,1,0,0,0,11,637,1,0,0,0,13,642,1,0,0, 0,15,648,1,0,0,0,17,653,1,0,0,0,19,658,1,0,0,0,21,663,1,0,0,0,23, 669,1,0,0,0,25,675,1,0,0,0,27,681,1,0,0,0,29,685,1,0,0,0,31,690, 1,0,0,0,33,693,1,0,0,0,35,697,1,0,0,0,37,702,1,0,0,0,39,706,1,0, 0,0,41,712,1,0,0,0,43,718,1,0,0,0,45,723,1,0,0,0,47,728,1,0,0,0, 49,739,1,0,0,0,51,749,1,0,0,0,53,759,1,0,0,0,55,764,1,0,0,0,57,774, 1,0,0,0,59,785,1,0,0,0,61,791,1,0,0,0,63,797,1,0,0,0,65,801,1,0, 0,0,67,806,1,0,0,0,69,812,1,0,0,0,71,818,1,0,0,0,73,824,1,0,0,0, 75,833,1,0,0,0,77,838,1,0,0,0,79,843,1,0,0,0,81,848,1,0,0,0,83,853, 1,0,0,0,85,859,1,0,0,0,87,865,1,0,0,0,89,871,1,0,0,0,91,876,1,0, 0,0,93,882,1,0,0,0,95,888,1,0,0,0,97,892,1,0,0,0,99,897,1,0,0,0, 101,909,1,0,0,0,103,926,1,0,0,0,105,947,1,0,0,0,107,960,1,0,0,0, 109,966,1,0,0,0,111,970,1,0,0,0,113,975,1,0,0,0,115,981,1,0,0,0, 117,1002,1,0,0,0,119,1017,1,0,0,0,121,1019,1,0,0,0,123,1024,1,0, 0,0,125,1031,1,0,0,0,127,1037,1,0,0,0,129,1042,1,0,0,0,131,1053, 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1,0,0,0,245,1587,1,0,0,0,247,1589,1,0,0,0,249,1614,1,0,0,0,251,1616, 1,0,0,0,253,1645,1,0,0,0,255,1661,1,0,0,0,257,1663,1,0,0,0,259,1691, 1,0,0,0,261,1718,1,0,0,0,263,1745,1,0,0,0,265,1775,1,0,0,0,267,1801, 1,0,0,0,269,1831,1,0,0,0,271,1865,1,0,0,0,273,1867,1,0,0,0,275,1874, 1,0,0,0,277,1882,1,0,0,0,279,1889,1,0,0,0,281,1899,1,0,0,0,283,1936, 1,0,0,0,285,1938,1,0,0,0,287,1950,1,0,0,0,289,1986,1,0,0,0,291,2006, 1,0,0,0,293,2008,1,0,0,0,295,2027,1,0,0,0,297,2029,1,0,0,0,299,2037, 1,0,0,0,301,2043,1,0,0,0,303,2047,1,0,0,0,305,2053,1,0,0,0,307,2060, 1,0,0,0,309,2066,1,0,0,0,311,2078,1,0,0,0,313,2098,1,0,0,0,315,2122, 1,0,0,0,317,2124,1,0,0,0,319,2145,1,0,0,0,321,2162,1,0,0,0,323,2177, 1,0,0,0,325,2179,1,0,0,0,327,2186,1,0,0,0,329,2192,1,0,0,0,331,2197, 1,0,0,0,333,2201,1,0,0,0,335,2209,1,0,0,0,337,2213,1,0,0,0,339,2217, 1,0,0,0,341,2222,1,0,0,0,343,2236,1,0,0,0,345,2247,1,0,0,0,347,2261, 1,0,0,0,349,2285,1,0,0,0,351,2287,1,0,0,0,353,2298,1,0,0,0,355,2308, 1,0,0,0,357,2320,1,0,0,0,359,2330,1,0,0,0,361,2360,1,0,0,0,363,2362, 1,0,0,0,365,2368,1,0,0,0,367,2376,1,0,0,0,369,2380,1,0,0,0,371,2386, 1,0,0,0,373,2392,1,0,0,0,375,2398,1,0,0,0,377,2403,1,0,0,0,379,2409, 1,0,0,0,381,2429,1,0,0,0,383,2431,1,0,0,0,385,2436,1,0,0,0,387,2444, 1,0,0,0,389,2457,1,0,0,0,391,2471,1,0,0,0,393,2478,1,0,0,0,395,2485, 1,0,0,0,397,2491,1,0,0,0,399,2502,1,0,0,0,401,2514,1,0,0,0,403,2527, 1,0,0,0,405,2537,1,0,0,0,407,2551,1,0,0,0,409,2564,1,0,0,0,411,2578, 1,0,0,0,413,2589,1,0,0,0,415,2600,1,0,0,0,417,2611,1,0,0,0,419,2622, 1,0,0,0,421,2641,1,0,0,0,423,2702,1,0,0,0,425,2704,1,0,0,0,427,2740, 1,0,0,0,429,2773,1,0,0,0,431,2794,1,0,0,0,433,2796,1,0,0,0,435,2799, 1,0,0,0,437,2804,1,0,0,0,439,2810,1,0,0,0,441,2814,1,0,0,0,443,2817, 1,0,0,0,445,2823,1,0,0,0,447,2832,1,0,0,0,449,2851,1,0,0,0,451,2853, 1,0,0,0,453,2858,1,0,0,0,455,2866,1,0,0,0,457,2873,1,0,0,0,459,2880, 1,0,0,0,461,2888,1,0,0,0,463,2896,1,0,0,0,465,2903,1,0,0,0,467,2908, 1,0,0,0,469,2919,1,0,0,0,471,2928,1,0,0,0,473,2936,1,0,0,0,475,2946, 1,0,0,0,477,2951,1,0,0,0,479,2970,1,0,0,0,481,2972,1,0,0,0,483,2980, 1,0,0,0,485,3001,1,0,0,0,487,3020,1,0,0,0,489,3022,1,0,0,0,491,3029, 1,0,0,0,493,3037,1,0,0,0,495,3072,1,0,0,0,497,3088,1,0,0,0,499,3106, 1,0,0,0,501,3131,1,0,0,0,503,3151,1,0,0,0,505,3176,1,0,0,0,507,3201, 1,0,0,0,509,3224,1,0,0,0,511,3245,1,0,0,0,513,3264,1,0,0,0,515,3285, 1,0,0,0,517,3306,1,0,0,0,519,3331,1,0,0,0,521,3352,1,0,0,0,523,3373, 1,0,0,0,525,3395,1,0,0,0,527,3415,1,0,0,0,529,3465,1,0,0,0,531,3495, 1,0,0,0,533,3515,1,0,0,0,535,3545,1,0,0,0,537,3547,1,0,0,0,539,3549, 1,0,0,0,541,3551,1,0,0,0,543,3553,1,0,0,0,545,3555,1,0,0,0,547,3557, 1,0,0,0,549,3559,1,0,0,0,551,3562,1,0,0,0,553,3565,1,0,0,0,555,3568, 1,0,0,0,557,3570,1,0,0,0,559,3573,1,0,0,0,561,3575,1,0,0,0,563,3578, 1,0,0,0,565,3580,1,0,0,0,567,3583,1,0,0,0,569,3586,1,0,0,0,571,3589, 1,0,0,0,573,3592,1,0,0,0,575,3595,1,0,0,0,577,3598,1,0,0,0,579,3600, 1,0,0,0,581,3602,1,0,0,0,583,3604,1,0,0,0,585,3606,1,0,0,0,587,3608, 1,0,0,0,589,3611,1,0,0,0,591,3613,1,0,0,0,593,3615,1,0,0,0,595,3617, 1,0,0,0,597,3619,1,0,0,0,599,3621,1,0,0,0,601,3643,1,0,0,0,603,3661, 1,0,0,0,605,3683,1,0,0,0,607,3685,1,0,0,0,609,3692,1,0,0,0,611,3701, 1,0,0,0,613,3716,1,0,0,0,615,616,5,115,0,0,616,617,5,105,0,0,617, 618,5,110,0,0,618,2,1,0,0,0,619,620,5,99,0,0,620,621,5,111,0,0,621, 622,5,115,0,0,622,4,1,0,0,0,623,624,5,116,0,0,624,625,5,97,0,0,625, 626,5,110,0,0,626,6,1,0,0,0,627,628,5,97,0,0,628,629,5,115,0,0,629, 630,5,105,0,0,630,631,5,110,0,0,631,8,1,0,0,0,632,633,5,97,0,0,633, 634,5,99,0,0,634,635,5,111,0,0,635,636,5,115,0,0,636,10,1,0,0,0, 637,638,5,97,0,0,638,639,5,116,0,0,639,640,5,97,0,0,640,641,5,110, 0,0,641,12,1,0,0,0,642,643,5,97,0,0,643,644,5,116,0,0,644,645,5, 97,0,0,645,646,5,110,0,0,646,647,5,50,0,0,647,14,1,0,0,0,648,649, 5,115,0,0,649,650,5,105,0,0,650,651,5,110,0,0,651,652,5,104,0,0, 652,16,1,0,0,0,653,654,5,99,0,0,654,655,5,111,0,0,655,656,5,115, 0,0,656,657,5,104,0,0,657,18,1,0,0,0,658,659,5,116,0,0,659,660,5, 97,0,0,660,661,5,110,0,0,661,662,5,104,0,0,662,20,1,0,0,0,663,664, 5,97,0,0,664,665,5,115,0,0,665,666,5,105,0,0,666,667,5,110,0,0,667, 668,5,104,0,0,668,22,1,0,0,0,669,670,5,97,0,0,670,671,5,99,0,0,671, 672,5,111,0,0,672,673,5,115,0,0,673,674,5,104,0,0,674,24,1,0,0,0, 675,676,5,97,0,0,676,677,5,116,0,0,677,678,5,97,0,0,678,679,5,110, 0,0,679,680,5,104,0,0,680,26,1,0,0,0,681,682,5,97,0,0,682,683,5, 98,0,0,683,684,5,115,0,0,684,28,1,0,0,0,685,686,5,115,0,0,686,687, 5,113,0,0,687,688,5,114,0,0,688,689,5,116,0,0,689,30,1,0,0,0,690, 691,5,108,0,0,691,692,5,110,0,0,692,32,1,0,0,0,693,694,5,108,0,0, 694,695,5,111,0,0,695,696,5,103,0,0,696,34,1,0,0,0,697,698,5,108, 0,0,698,699,5,111,0,0,699,700,5,103,0,0,700,701,5,50,0,0,701,36, 1,0,0,0,702,703,5,101,0,0,703,704,5,120,0,0,704,705,5,112,0,0,705, 38,1,0,0,0,706,707,5,108,0,0,707,708,5,111,0,0,708,709,5,103,0,0, 709,710,5,49,0,0,710,711,5,112,0,0,711,40,1,0,0,0,712,713,5,101, 0,0,713,714,5,120,0,0,714,715,5,112,0,0,715,716,5,109,0,0,716,717, 5,49,0,0,717,42,1,0,0,0,718,719,5,115,0,0,719,720,5,105,0,0,720, 721,5,110,0,0,721,722,5,99,0,0,722,44,1,0,0,0,723,724,5,99,0,0,724, 725,5,98,0,0,725,726,5,114,0,0,726,727,5,116,0,0,727,46,1,0,0,0, 728,729,5,114,0,0,729,730,5,101,0,0,730,731,5,99,0,0,731,732,5,105, 0,0,732,733,5,112,0,0,733,734,5,114,0,0,734,735,5,111,0,0,735,736, 5,99,0,0,736,737,5,97,0,0,737,738,5,108,0,0,738,48,1,0,0,0,739,740, 5,108,0,0,740,741,5,111,0,0,741,742,5,103,0,0,742,743,5,97,0,0,743, 744,5,100,0,0,744,745,5,100,0,0,745,746,5,101,0,0,746,747,5,120, 0,0,747,748,5,112,0,0,748,50,1,0,0,0,749,750,5,108,0,0,750,751,5, 111,0,0,751,752,5,103,0,0,752,753,5,115,0,0,753,754,5,117,0,0,754, 755,5,109,0,0,755,756,5,101,0,0,756,757,5,120,0,0,757,758,5,112, 0,0,758,52,1,0,0,0,759,760,5,110,0,0,760,761,5,111,0,0,761,762,5, 114,0,0,762,763,5,109,0,0,763,54,1,0,0,0,764,765,5,110,0,0,765,766, 5,111,0,0,766,767,5,114,0,0,767,768,5,109,0,0,768,769,5,97,0,0,769, 770,5,108,0,0,770,771,5,105,0,0,771,772,5,122,0,0,772,773,5,101, 0,0,773,56,1,0,0,0,774,775,5,103,0,0,775,776,5,114,0,0,776,777,5, 111,0,0,777,778,5,117,0,0,778,779,5,112,0,0,779,780,5,95,0,0,780, 781,5,110,0,0,781,782,5,111,0,0,782,783,5,114,0,0,783,784,5,109, 0,0,784,58,1,0,0,0,785,786,5,111,0,0,786,787,5,117,0,0,787,788,5, 116,0,0,788,789,5,101,0,0,789,790,5,114,0,0,790,60,1,0,0,0,791,792, 5,116,0,0,792,793,5,114,0,0,793,794,5,97,0,0,794,795,5,99,0,0,795, 796,5,101,0,0,796,62,1,0,0,0,797,798,5,100,0,0,798,799,5,101,0,0, 799,800,5,116,0,0,800,64,1,0,0,0,801,802,5,114,0,0,802,803,5,102, 0,0,803,804,5,102,0,0,804,805,5,116,0,0,805,66,1,0,0,0,806,807,5, 105,0,0,807,808,5,114,0,0,808,809,5,102,0,0,809,810,5,102,0,0,810, 811,5,116,0,0,811,68,1,0,0,0,812,813,5,105,0,0,813,814,5,115,0,0, 814,815,5,110,0,0,815,816,5,97,0,0,816,817,5,110,0,0,817,70,1,0, 0,0,818,819,5,105,0,0,819,820,5,115,0,0,820,821,5,105,0,0,821,822, 5,110,0,0,822,823,5,102,0,0,823,72,1,0,0,0,824,825,5,105,0,0,825, 826,5,115,0,0,826,827,5,102,0,0,827,828,5,105,0,0,828,829,5,110, 0,0,829,830,5,105,0,0,830,831,5,116,0,0,831,832,5,101,0,0,832,74, 1,0,0,0,833,834,5,115,0,0,834,835,5,109,0,0,835,836,5,105,0,0,836, 837,5,110,0,0,837,76,1,0,0,0,838,839,5,115,0,0,839,840,5,109,0,0, 840,841,5,97,0,0,841,842,5,120,0,0,842,78,1,0,0,0,843,844,5,116, 0,0,844,845,5,109,0,0,845,846,5,105,0,0,846,847,5,110,0,0,847,80, 1,0,0,0,848,849,5,116,0,0,849,850,5,109,0,0,850,851,5,97,0,0,851, 852,5,120,0,0,852,82,1,0,0,0,853,854,5,116,0,0,854,855,5,110,0,0, 855,856,5,111,0,0,856,857,5,114,0,0,857,858,5,109,0,0,858,84,1,0, 0,0,859,860,5,115,0,0,860,861,5,110,0,0,861,862,5,111,0,0,862,863, 5,114,0,0,863,864,5,109,0,0,864,86,1,0,0,0,865,866,5,102,0,0,866, 867,5,108,0,0,867,868,5,111,0,0,868,869,5,111,0,0,869,870,5,114, 0,0,870,88,1,0,0,0,871,872,5,99,0,0,872,873,5,101,0,0,873,874,5, 105,0,0,874,875,5,108,0,0,875,90,1,0,0,0,876,877,5,114,0,0,877,878, 5,111,0,0,878,879,5,117,0,0,879,880,5,110,0,0,880,881,5,100,0,0, 881,92,1,0,0,0,882,883,5,103,0,0,883,884,5,97,0,0,884,885,5,109, 0,0,885,886,5,109,0,0,886,887,5,97,0,0,887,94,1,0,0,0,888,889,5, 112,0,0,889,890,5,111,0,0,890,891,5,119,0,0,891,96,1,0,0,0,892,893, 5,115,0,0,893,894,5,105,0,0,894,895,5,103,0,0,895,896,5,109,0,0, 896,98,1,0,0,0,897,898,5,115,0,0,898,899,5,105,0,0,899,900,5,103, 0,0,900,901,5,109,0,0,901,902,5,95,0,0,902,903,5,107,0,0,903,904, 5,97,0,0,904,905,5,114,0,0,905,906,5,114,0,0,906,907,5,97,0,0,907, 908,5,115,0,0,908,100,1,0,0,0,909,910,5,115,0,0,910,911,5,105,0, 0,911,912,5,103,0,0,912,913,5,109,0,0,913,914,5,95,0,0,914,915,5, 101,0,0,915,916,5,120,0,0,916,917,5,112,0,0,917,918,5,111,0,0,918, 919,5,110,0,0,919,920,5,101,0,0,920,921,5,110,0,0,921,922,5,116, 0,0,922,923,5,105,0,0,923,924,5,97,0,0,924,925,5,108,0,0,925,102, 1,0,0,0,926,927,5,115,0,0,927,928,5,105,0,0,928,929,5,103,0,0,929, 930,5,109,0,0,930,931,5,95,0,0,931,932,5,112,0,0,932,933,5,111,0, 0,933,934,5,108,0,0,934,935,5,121,0,0,935,936,5,101,0,0,936,937, 5,120,0,0,937,938,5,112,0,0,938,939,5,111,0,0,939,940,5,110,0,0, 940,941,5,101,0,0,941,942,5,110,0,0,942,943,5,116,0,0,943,944,5, 105,0,0,944,945,5,97,0,0,945,946,5,108,0,0,946,104,1,0,0,0,947,948, 5,115,0,0,948,949,5,105,0,0,949,950,5,103,0,0,950,951,5,109,0,0, 951,952,5,95,0,0,952,953,5,108,0,0,953,954,5,97,0,0,954,955,5,112, 0,0,955,956,5,108,0,0,956,957,5,97,0,0,957,958,5,99,0,0,958,959, 5,101,0,0,959,106,1,0,0,0,960,961,5,99,0,0,961,962,5,108,0,0,962, 963,5,97,0,0,963,964,5,109,0,0,964,965,5,112,0,0,965,108,1,0,0,0, 966,967,5,102,0,0,967,968,5,102,0,0,968,969,5,116,0,0,969,110,1, 0,0,0,970,971,5,105,0,0,971,972,5,102,0,0,972,973,5,102,0,0,973, 974,5,116,0,0,974,112,1,0,0,0,975,976,5,97,0,0,976,977,5,110,0,0, 977,978,5,103,0,0,978,979,5,108,0,0,979,980,5,101,0,0,980,114,1, 0,0,0,981,982,5,112,0,0,982,983,5,114,0,0,983,984,5,105,0,0,984, 985,5,110,0,0,985,986,5,116,0,0,986,116,1,0,0,0,987,988,5,112,0, 0,988,989,5,114,0,0,989,990,5,105,0,0,990,991,5,110,0,0,991,992, 5,116,0,0,992,993,5,95,0,0,993,994,5,115,0,0,994,995,5,104,0,0,995, 996,5,97,0,0,996,997,5,112,0,0,997,1003,5,101,0,0,998,999,5,112, 0,0,999,1000,5,115,0,0,1000,1001,5,104,0,0,1001,1003,5,112,0,0,1002, 987,1,0,0,0,1002,998,1,0,0,0,1003,118,1,0,0,0,1004,1005,5,110,0, 0,1005,1006,5,118,0,0,1006,1018,5,108,0,0,1007,1008,5,110,0,0,1008, 1009,5,97,0,0,1009,1010,5,110,0,0,1010,1011,5,95,0,0,1011,1012,5, 116,0,0,1012,1013,5,111,0,0,1013,1014,5,95,0,0,1014,1015,5,110,0, 0,1015,1016,5,117,0,0,1016,1018,5,109,0,0,1017,1004,1,0,0,0,1017, 1007,1,0,0,0,1018,120,1,0,0,0,1019,1020,5,108,0,0,1020,1021,5,101, 0,0,1021,1022,5,114,0,0,1022,1023,5,112,0,0,1023,122,1,0,0,0,1024, 1025,5,105,0,0,1025,1026,5,110,0,0,1026,1027,5,116,0,0,1027,1028, 5,101,0,0,1028,1029,5,114,0,0,1029,1030,5,112,0,0,1030,124,1,0,0, 0,1031,1032,5,115,0,0,1032,1033,5,108,0,0,1033,1034,5,101,0,0,1034, 1035,5,114,0,0,1035,1036,5,112,0,0,1036,126,1,0,0,0,1037,1038,5, 115,0,0,1038,1039,5,116,0,0,1039,1040,5,101,0,0,1040,1041,5,112, 0,0,1041,128,1,0,0,0,1042,1043,5,115,0,0,1043,1044,5,109,0,0,1044, 1045,5,111,0,0,1045,1046,5,111,0,0,1046,1047,5,116,0,0,1047,1048, 5,104,0,0,1048,1049,5,115,0,0,1049,1050,5,116,0,0,1050,1051,5,101, 0,0,1051,1052,5,112,0,0,1052,130,1,0,0,0,1053,1054,5,102,0,0,1054, 1055,5,114,0,0,1055,1056,5,97,0,0,1056,1057,5,99,0,0,1057,1058,5, 116,0,0,1058,132,1,0,0,0,1059,1060,5,114,0,0,1060,1061,5,101,0,0, 1061,1062,5,108,0,0,1062,1063,5,117,0,0,1063,134,1,0,0,0,1064,1065, 5,115,0,0,1065,1066,5,111,0,0,1066,1067,5,102,0,0,1067,1068,5,116, 0,0,1068,1069,5,115,0,0,1069,1070,5,105,0,0,1070,1071,5,103,0,0, 1071,1072,5,110,0,0,1072,136,1,0,0,0,1073,1074,5,108,0,0,1074,1075, 5,101,0,0,1075,1076,5,97,0,0,1076,1077,5,107,0,0,1077,1078,5,121, 0,0,1078,1079,5,95,0,0,1079,1080,5,114,0,0,1080,1081,5,101,0,0,1081, 1082,5,108,0,0,1082,1083,5,117,0,0,1083,138,1,0,0,0,1084,1085,5, 115,0,0,1085,1086,5,111,0,0,1086,1087,5,102,0,0,1087,1088,5,116, 0,0,1088,1089,5,112,0,0,1089,1090,5,108,0,0,1090,1091,5,117,0,0, 1091,1092,5,115,0,0,1092,140,1,0,0,0,1093,1094,5,103,0,0,1094,1095, 5,101,0,0,1095,1096,5,108,0,0,1096,1097,5,117,0,0,1097,142,1,0,0, 0,1098,1099,5,115,0,0,1099,1100,5,105,0,0,1100,1101,5,108,0,0,1101, 1102,5,117,0,0,1102,144,1,0,0,0,1103,1104,5,115,0,0,1104,1105,5, 105,0,0,1105,1106,5,103,0,0,1106,1107,5,110,0,0,1107,146,1,0,0,0, 1108,1109,5,100,0,0,1109,1110,5,101,0,0,1110,1111,5,103,0,0,1111, 1112,5,114,0,0,1112,1113,5,101,0,0,1113,1114,5,101,0,0,1114,1115, 5,115,0,0,1115,148,1,0,0,0,1116,1117,5,114,0,0,1117,1118,5,97,0, 0,1118,1119,5,100,0,0,1119,1120,5,105,0,0,1120,1121,5,97,0,0,1121, 1122,5,110,0,0,1122,1123,5,115,0,0,1123,150,1,0,0,0,1124,1125,5, 108,0,0,1125,1126,5,111,0,0,1126,1127,5,103,0,0,1127,1128,5,105, 0,0,1128,1129,5,99,0,0,1129,1130,5,97,0,0,1130,1131,5,108,0,0,1131, 1132,5,95,0,0,1132,1133,5,110,0,0,1133,1134,5,111,0,0,1134,1135, 5,116,0,0,1135,152,1,0,0,0,1136,1137,5,108,0,0,1137,1138,5,111,0, 0,1138,1139,5,103,0,0,1139,1140,5,105,0,0,1140,1141,5,99,0,0,1141, 1142,5,97,0,0,1142,1143,5,108,0,0,1143,1144,5,95,0,0,1144,1145,5, 97,0,0,1145,1146,5,110,0,0,1146,1147,5,100,0,0,1147,154,1,0,0,0, 1148,1149,5,108,0,0,1149,1150,5,111,0,0,1150,1151,5,103,0,0,1151, 1152,5,105,0,0,1152,1153,5,99,0,0,1153,1154,5,97,0,0,1154,1155,5, 108,0,0,1155,1156,5,95,0,0,1156,1157,5,111,0,0,1157,1158,5,114,0, 0,1158,156,1,0,0,0,1159,1160,5,104,0,0,1160,1161,5,121,0,0,1161, 1162,5,112,0,0,1162,1163,5,111,0,0,1163,1164,5,116,0,0,1164,158, 1,0,0,0,1165,1166,5,109,0,0,1166,1167,5,97,0,0,1167,1168,5,112,0, 0,1168,160,1,0,0,0,1169,1170,5,101,0,0,1170,1171,5,122,0,0,1171, 1172,5,99,0,0,1172,1173,5,111,0,0,1173,1174,5,110,0,0,1174,1175, 5,118,0,0,1175,1176,5,111,0,0,1176,1177,5,108,0,0,1177,1178,5,117, 0,0,1178,1179,5,116,0,0,1179,1180,5,105,0,0,1180,1181,5,111,0,0, 1181,1189,5,110,0,0,1182,1183,5,101,0,0,1183,1184,5,122,0,0,1184, 1185,5,99,0,0,1185,1186,5,111,0,0,1186,1187,5,110,0,0,1187,1189, 5,118,0,0,1188,1169,1,0,0,0,1188,1182,1,0,0,0,1189,162,1,0,0,0,1190, 1191,5,99,0,0,1191,1192,5,111,0,0,1192,1193,5,110,0,0,1193,1194, 5,118,0,0,1194,1195,5,111,0,0,1195,1196,5,108,0,0,1196,1197,5,117, 0,0,1197,1198,5,116,0,0,1198,1199,5,105,0,0,1199,1200,5,111,0,0, 1200,1206,5,110,0,0,1201,1202,5,99,0,0,1202,1203,5,111,0,0,1203, 1204,5,110,0,0,1204,1206,5,118,0,0,1205,1190,1,0,0,0,1205,1201,1, 0,0,0,1206,164,1,0,0,0,1207,1208,5,115,0,0,1208,1209,5,119,0,0,1209, 1210,5,97,0,0,1210,1211,5,112,0,0,1211,166,1,0,0,0,1212,1213,5,116, 0,0,1213,1214,5,114,0,0,1214,1215,5,97,0,0,1215,1216,5,110,0,0,1216, 1217,5,115,0,0,1217,1218,5,112,0,0,1218,1219,5,111,0,0,1219,1220, 5,115,0,0,1220,1230,5,101,0,0,1221,1222,5,115,0,0,1222,1223,5,119, 0,0,1223,1224,5,97,0,0,1224,1225,5,112,0,0,1225,1226,5,97,0,0,1226, 1227,5,120,0,0,1227,1228,5,101,0,0,1228,1230,5,115,0,0,1229,1212, 1,0,0,0,1229,1221,1,0,0,0,1230,168,1,0,0,0,1231,1232,5,112,0,0,1232, 1233,5,101,0,0,1233,1234,5,114,0,0,1234,1235,5,109,0,0,1235,1236, 5,117,0,0,1236,1237,5,116,0,0,1237,1243,5,101,0,0,1238,1239,5,112, 0,0,1239,1240,5,101,0,0,1240,1241,5,114,0,0,1241,1243,5,109,0,0, 1242,1231,1,0,0,0,1242,1238,1,0,0,0,1243,170,1,0,0,0,1244,1245,5, 114,0,0,1245,1246,5,101,0,0,1246,1247,5,115,0,0,1247,1248,5,104, 0,0,1248,1249,5,97,0,0,1249,1250,5,112,0,0,1250,1256,5,101,0,0,1251, 1252,5,114,0,0,1252,1253,5,115,0,0,1253,1254,5,104,0,0,1254,1256, 5,112,0,0,1255,1244,1,0,0,0,1255,1251,1,0,0,0,1256,172,1,0,0,0,1257, 1258,5,114,0,0,1258,1259,5,97,0,0,1259,1260,5,110,0,0,1260,1261, 5,103,0,0,1261,1262,5,101,0,0,1262,174,1,0,0,0,1263,1264,5,108,0, 0,1264,1265,5,105,0,0,1265,1266,5,110,0,0,1266,1267,5,115,0,0,1267, 1268,5,112,0,0,1268,1269,5,97,0,0,1269,1270,5,99,0,0,1270,1271,5, 101,0,0,1271,176,1,0,0,0,1272,1273,5,108,0,0,1273,1274,5,111,0,0, 1274,1275,5,103,0,0,1275,1276,5,115,0,0,1276,1277,5,112,0,0,1277, 1278,5,97,0,0,1278,1279,5,99,0,0,1279,1280,5,101,0,0,1280,178,1, 0,0,0,1281,1282,5,116,0,0,1282,1283,5,111,0,0,1283,1284,5,112,0, 0,1284,1285,5,107,0,0,1285,180,1,0,0,0,1286,1287,5,98,0,0,1287,1288, 5,111,0,0,1288,1289,5,116,0,0,1289,1290,5,107,0,0,1290,182,1,0,0, 0,1291,1292,5,112,0,0,1292,1293,5,105,0,0,1293,1294,5,110,0,0,1294, 1295,5,118,0,0,1295,184,1,0,0,0,1296,1297,5,105,0,0,1297,1298,5, 110,0,0,1298,1299,5,118,0,0,1299,186,1,0,0,0,1300,1301,5,115,0,0, 1301,1302,5,117,0,0,1302,1303,5,109,0,0,1303,188,1,0,0,0,1304,1305, 5,109,0,0,1305,1306,5,101,0,0,1306,1307,5,97,0,0,1307,1308,5,110, 0,0,1308,190,1,0,0,0,1309,1310,5,115,0,0,1310,1311,5,116,0,0,1311, 1312,5,100,0,0,1312,192,1,0,0,0,1313,1314,5,118,0,0,1314,1315,5, 97,0,0,1315,1316,5,114,0,0,1316,194,1,0,0,0,1317,1318,5,112,0,0, 1318,1319,5,114,0,0,1319,1320,5,111,0,0,1320,1321,5,100,0,0,1321, 196,1,0,0,0,1322,1323,5,105,0,0,1323,1324,5,115,0,0,1324,1325,5, 99,0,0,1325,1326,5,108,0,0,1326,1327,5,111,0,0,1327,1328,5,115,0, 0,1328,1329,5,101,0,0,1329,198,1,0,0,0,1330,1331,5,97,0,0,1331,1332, 5,108,0,0,1332,1333,5,108,0,0,1333,1334,5,99,0,0,1334,1335,5,108, 0,0,1335,1336,5,111,0,0,1336,1337,5,115,0,0,1337,1338,5,101,0,0, 1338,200,1,0,0,0,1339,1340,5,113,0,0,1340,1341,5,117,0,0,1341,1342, 5,97,0,0,1342,1343,5,114,0,0,1343,1344,5,116,0,0,1344,1345,5,105, 0,0,1345,1346,5,108,0,0,1346,1355,5,101,0,0,1347,1348,5,113,0,0, 1348,1349,5,117,0,0,1349,1350,5,97,0,0,1350,1351,5,114,0,0,1351, 1352,5,116,0,0,1352,1353,5,105,0,0,1353,1355,5,108,0,0,1354,1339, 1,0,0,0,1354,1347,1,0,0,0,1355,202,1,0,0,0,1356,1357,5,112,0,0,1357, 1358,5,101,0,0,1358,1359,5,114,0,0,1359,1360,5,99,0,0,1360,1361, 5,101,0,0,1361,1362,5,110,0,0,1362,1363,5,116,0,0,1363,1364,5,105, 0,0,1364,1365,5,108,0,0,1365,1372,5,101,0,0,1366,1367,5,112,0,0, 1367,1368,5,114,0,0,1368,1369,5,99,0,0,1369,1370,5,110,0,0,1370, 1372,5,116,0,0,1371,1356,1,0,0,0,1371,1366,1,0,0,0,1372,204,1,0, 0,0,1373,1374,5,113,0,0,1374,1375,5,117,0,0,1375,1376,5,97,0,0,1376, 1377,5,110,0,0,1377,1378,5,116,0,0,1378,1379,5,105,0,0,1379,1380, 5,108,0,0,1380,1381,5,101,0,0,1381,206,1,0,0,0,1382,1383,5,100,0, 0,1383,1384,5,111,0,0,1384,1385,5,116,0,0,1385,208,1,0,0,0,1386, 1387,5,109,0,0,1387,1388,5,111,0,0,1388,1389,5,109,0,0,1389,1390, 5,101,0,0,1390,1391,5,110,0,0,1391,1392,5,116,0,0,1392,210,1,0,0, 0,1393,1394,5,101,0,0,1394,1395,5,114,0,0,1395,1396,5,102,0,0,1396, 212,1,0,0,0,1397,1398,5,101,0,0,1398,1399,5,114,0,0,1399,1400,5, 102,0,0,1400,1401,5,99,0,0,1401,214,1,0,0,0,1402,1403,5,101,0,0, 1403,1404,5,114,0,0,1404,1405,5,102,0,0,1405,1406,5,105,0,0,1406, 1407,5,110,0,0,1407,1408,5,118,0,0,1408,216,1,0,0,0,1409,1410,5, 97,0,0,1410,1411,5,110,0,0,1411,1412,5,121,0,0,1412,218,1,0,0,0, 1413,1414,5,97,0,0,1414,1415,5,108,0,0,1415,1416,5,108,0,0,1416, 220,1,0,0,0,1417,1418,5,101,0,0,1418,1419,5,100,0,0,1419,1420,5, 103,0,0,1420,1421,5,101,0,0,1421,222,1,0,0,0,1422,1423,5,100,0,0, 1423,1424,5,105,0,0,1424,1425,5,115,0,0,1425,1426,5,116,0,0,1426, 1427,5,97,0,0,1427,1428,5,110,0,0,1428,1429,5,99,0,0,1429,1430,5, 101,0,0,1430,1431,5,95,0,0,1431,1432,5,116,0,0,1432,1433,5,114,0, 0,1433,1434,5,97,0,0,1434,1435,5,110,0,0,1435,1436,5,115,0,0,1436, 1437,5,102,0,0,1437,1438,5,111,0,0,1438,1439,5,114,0,0,1439,1440, 5,109,0,0,1440,224,1,0,0,0,1441,1442,5,103,0,0,1442,1443,5,114,0, 0,1443,1444,5,97,0,0,1444,1445,5,121,0,0,1445,1446,5,115,0,0,1446, 1447,5,99,0,0,1447,1448,5,97,0,0,1448,1449,5,108,0,0,1449,1450,5, 101,0,0,1450,226,1,0,0,0,1451,1452,5,98,0,0,1452,1453,5,108,0,0, 1453,1454,5,117,0,0,1454,1464,5,114,0,0,1455,1456,5,103,0,0,1456, 1457,5,97,0,0,1457,1458,5,117,0,0,1458,1459,5,115,0,0,1459,1460, 5,115,0,0,1460,1461,5,105,0,0,1461,1462,5,97,0,0,1462,1464,5,110, 0,0,1463,1451,1,0,0,0,1463,1455,1,0,0,0,1464,228,1,0,0,0,1465,1466, 5,109,0,0,1466,1467,5,101,0,0,1467,1468,5,100,0,0,1468,1469,5,105, 0,0,1469,1470,5,97,0,0,1470,1471,5,110,0,0,1471,230,1,0,0,0,1472, 1473,5,109,0,0,1473,1474,5,111,0,0,1474,1475,5,100,0,0,1475,1476, 5,101,0,0,1476,232,1,0,0,0,1477,1478,5,99,0,0,1478,1479,5,117,0, 0,1479,1480,5,109,0,0,1480,1481,5,115,0,0,1481,1482,5,117,0,0,1482, 1483,5,109,0,0,1483,234,1,0,0,0,1484,1485,5,99,0,0,1485,1486,5,117, 0,0,1486,1487,5,109,0,0,1487,1488,5,112,0,0,1488,1489,5,114,0,0, 1489,1490,5,111,0,0,1490,1491,5,100,0,0,1491,236,1,0,0,0,1492,1493, 5,116,0,0,1493,1494,5,111,0,0,1494,1495,5,112,0,0,1495,1496,5,107, 0,0,1496,1497,5,95,0,0,1497,1498,5,105,0,0,1498,1499,5,110,0,0,1499, 1513,5,100,0,0,1500,1501,5,116,0,0,1501,1502,5,111,0,0,1502,1503, 5,112,0,0,1503,1504,5,107,0,0,1504,1505,5,95,0,0,1505,1506,5,105, 0,0,1506,1507,5,110,0,0,1507,1508,5,100,0,0,1508,1509,5,105,0,0, 1509,1510,5,99,0,0,1510,1511,5,101,0,0,1511,1513,5,115,0,0,1512, 1492,1,0,0,0,1512,1500,1,0,0,0,1513,238,1,0,0,0,1514,1515,5,98,0, 0,1515,1516,5,111,0,0,1516,1517,5,116,0,0,1517,1518,5,107,0,0,1518, 1519,5,95,0,0,1519,1520,5,105,0,0,1520,1521,5,110,0,0,1521,1535, 5,100,0,0,1522,1523,5,98,0,0,1523,1524,5,111,0,0,1524,1525,5,116, 0,0,1525,1526,5,107,0,0,1526,1527,5,95,0,0,1527,1528,5,105,0,0,1528, 1529,5,110,0,0,1529,1530,5,100,0,0,1530,1531,5,105,0,0,1531,1532, 5,99,0,0,1532,1533,5,101,0,0,1533,1535,5,115,0,0,1534,1514,1,0,0, 0,1534,1522,1,0,0,0,1535,240,1,0,0,0,1536,1537,5,99,0,0,1537,1538, 5,117,0,0,1538,1539,5,98,0,0,1539,1540,5,105,0,0,1540,1541,5,99, 0,0,1541,1542,5,95,0,0,1542,1543,5,101,0,0,1543,1544,5,97,0,0,1544, 1545,5,115,0,0,1545,1552,5,101,0,0,1546,1547,5,99,0,0,1547,1548, 5,117,0,0,1548,1549,5,98,0,0,1549,1550,5,105,0,0,1550,1552,5,99, 0,0,1551,1536,1,0,0,0,1551,1546,1,0,0,0,1552,242,1,0,0,0,1553,1554, 5,101,0,0,1554,1555,5,108,0,0,1555,1556,5,97,0,0,1556,1557,5,115, 0,0,1557,1558,5,116,0,0,1558,1559,5,105,0,0,1559,1560,5,99,0,0,1560, 1561,5,95,0,0,1561,1562,5,101,0,0,1562,1563,5,97,0,0,1563,1564,5, 115,0,0,1564,1573,5,101,0,0,1565,1566,5,101,0,0,1566,1567,5,108, 0,0,1567,1568,5,97,0,0,1568,1569,5,115,0,0,1569,1570,5,116,0,0,1570, 1571,5,105,0,0,1571,1573,5,99,0,0,1572,1553,1,0,0,0,1572,1565,1, 0,0,0,1573,244,1,0,0,0,1574,1575,5,115,0,0,1575,1576,5,105,0,0,1576, 1577,5,110,0,0,1577,1578,5,101,0,0,1578,1579,5,95,0,0,1579,1580, 5,101,0,0,1580,1581,5,97,0,0,1581,1582,5,115,0,0,1582,1588,5,101, 0,0,1583,1584,5,115,0,0,1584,1585,5,105,0,0,1585,1586,5,110,0,0, 1586,1588,5,101,0,0,1587,1574,1,0,0,0,1587,1583,1,0,0,0,1588,246, 1,0,0,0,1589,1590,5,115,0,0,1590,1591,5,109,0,0,1591,1592,5,111, 0,0,1592,1593,5,111,0,0,1593,1594,5,116,0,0,1594,1595,5,104,0,0, 1595,1596,5,101,0,0,1596,1597,5,114,0,0,1597,1598,5,115,0,0,1598, 1599,5,116,0,0,1599,1600,5,101,0,0,1600,1601,5,112,0,0,1601,248, 1,0,0,0,1602,1603,5,100,0,0,1603,1604,5,105,0,0,1604,1605,5,115, 0,0,1605,1615,5,116,0,0,1606,1607,5,100,0,0,1607,1608,5,105,0,0, 1608,1609,5,115,0,0,1609,1610,5,116,0,0,1610,1611,5,97,0,0,1611, 1612,5,110,0,0,1612,1613,5,99,0,0,1613,1615,5,101,0,0,1614,1602, 1,0,0,0,1614,1606,1,0,0,0,1615,250,1,0,0,0,1616,1617,5,114,0,0,1617, 1618,5,101,0,0,1618,1619,5,109,0,0,1619,1620,5,97,0,0,1620,1621, 5,112,0,0,1621,252,1,0,0,0,1622,1623,5,99,0,0,1623,1624,5,111,0, 0,1624,1625,5,115,0,0,1625,1626,5,115,0,0,1626,1627,5,105,0,0,1627, 1646,5,109,0,0,1628,1629,5,99,0,0,1629,1630,5,111,0,0,1630,1631, 5,115,0,0,1631,1632,5,105,0,0,1632,1633,5,110,0,0,1633,1634,5,101, 0,0,1634,1635,5,95,0,0,1635,1636,5,115,0,0,1636,1637,5,105,0,0,1637, 1638,5,109,0,0,1638,1639,5,105,0,0,1639,1640,5,108,0,0,1640,1641, 5,97,0,0,1641,1642,5,114,0,0,1642,1643,5,105,0,0,1643,1644,5,116, 0,0,1644,1646,5,121,0,0,1645,1622,1,0,0,0,1645,1628,1,0,0,0,1646, 254,1,0,0,0,1647,1648,5,99,0,0,1648,1649,5,111,0,0,1649,1650,5,117, 0,0,1650,1651,5,110,0,0,1651,1662,5,116,0,0,1652,1653,5,99,0,0,1653, 1654,5,110,0,0,1654,1662,5,116,0,0,1655,1656,5,108,0,0,1656,1657, 5,101,0,0,1657,1658,5,110,0,0,1658,1659,5,103,0,0,1659,1660,5,116, 0,0,1660,1662,5,104,0,0,1661,1647,1,0,0,0,1661,1652,1,0,0,0,1661, 1655,1,0,0,0,1662,256,1,0,0,0,1663,1664,5,107,0,0,1664,1665,5,101, 0,0,1665,1666,5,121,0,0,1666,1667,5,115,0,0,1667,258,1,0,0,0,1668, 1669,5,101,0,0,1669,1670,5,110,0,0,1670,1671,5,97,0,0,1671,1672, 5,98,0,0,1672,1673,5,108,0,0,1673,1674,5,101,0,0,1674,1675,5,95, 0,0,1675,1676,5,116,0,0,1676,1677,5,114,0,0,1677,1678,5,97,0,0,1678, 1679,5,99,0,0,1679,1680,5,107,0,0,1680,1681,5,105,0,0,1681,1682, 5,110,0,0,1682,1692,5,103,0,0,1683,1684,5,116,0,0,1684,1685,5,114, 0,0,1685,1686,5,97,0,0,1686,1687,5,99,0,0,1687,1688,5,107,0,0,1688, 1689,5,95,0,0,1689,1690,5,111,0,0,1690,1692,5,110,0,0,1691,1668, 1,0,0,0,1691,1683,1,0,0,0,1692,260,1,0,0,0,1693,1694,5,100,0,0,1694, 1695,5,105,0,0,1695,1696,5,115,0,0,1696,1697,5,97,0,0,1697,1698, 5,98,0,0,1698,1699,5,108,0,0,1699,1700,5,101,0,0,1700,1701,5,95, 0,0,1701,1702,5,116,0,0,1702,1703,5,114,0,0,1703,1704,5,97,0,0,1704, 1705,5,99,0,0,1705,1706,5,107,0,0,1706,1707,5,105,0,0,1707,1708, 5,110,0,0,1708,1719,5,103,0,0,1709,1710,5,116,0,0,1710,1711,5,114, 0,0,1711,1712,5,97,0,0,1712,1713,5,99,0,0,1713,1714,5,107,0,0,1714, 1715,5,95,0,0,1715,1716,5,111,0,0,1716,1717,5,102,0,0,1717,1719, 5,102,0,0,1718,1693,1,0,0,0,1718,1709,1,0,0,0,1719,262,1,0,0,0,1720, 1721,5,114,0,0,1721,1722,5,101,0,0,1722,1723,5,115,0,0,1723,1724, 5,101,0,0,1724,1725,5,116,0,0,1725,1726,5,95,0,0,1726,1727,5,116, 0,0,1727,1728,5,114,0,0,1728,1729,5,97,0,0,1729,1730,5,99,0,0,1730, 1731,5,107,0,0,1731,1732,5,105,0,0,1732,1733,5,110,0,0,1733,1746, 5,103,0,0,1734,1735,5,116,0,0,1735,1736,5,114,0,0,1736,1737,5,97, 0,0,1737,1738,5,99,0,0,1738,1739,5,107,0,0,1739,1740,5,95,0,0,1740, 1741,5,114,0,0,1741,1742,5,101,0,0,1742,1743,5,115,0,0,1743,1744, 5,101,0,0,1744,1746,5,116,0,0,1745,1720,1,0,0,0,1745,1734,1,0,0, 0,1746,264,1,0,0,0,1747,1748,5,103,0,0,1748,1749,5,101,0,0,1749, 1750,5,116,0,0,1750,1751,5,95,0,0,1751,1752,5,99,0,0,1752,1753,5, 104,0,0,1753,1754,5,97,0,0,1754,1755,5,110,0,0,1755,1756,5,103,0, 0,1756,1757,5,101,0,0,1757,1758,5,100,0,0,1758,1759,5,95,0,0,1759, 1760,5,107,0,0,1760,1761,5,101,0,0,1761,1762,5,121,0,0,1762,1776, 5,115,0,0,1763,1764,5,99,0,0,1764,1765,5,104,0,0,1765,1766,5,97, 0,0,1766,1767,5,110,0,0,1767,1768,5,103,0,0,1768,1769,5,101,0,0, 1769,1770,5,100,0,0,1770,1771,5,95,0,0,1771,1772,5,107,0,0,1772, 1773,5,101,0,0,1773,1774,5,121,0,0,1774,1776,5,115,0,0,1775,1747, 1,0,0,0,1775,1763,1,0,0,0,1776,266,1,0,0,0,1777,1778,5,103,0,0,1778, 1779,5,101,0,0,1779,1780,5,116,0,0,1780,1781,5,95,0,0,1781,1782, 5,97,0,0,1782,1783,5,100,0,0,1783,1784,5,100,0,0,1784,1785,5,101, 0,0,1785,1786,5,100,0,0,1786,1787,5,95,0,0,1787,1788,5,107,0,0,1788, 1789,5,101,0,0,1789,1790,5,121,0,0,1790,1802,5,115,0,0,1791,1792, 5,97,0,0,1792,1793,5,100,0,0,1793,1794,5,100,0,0,1794,1795,5,101, 0,0,1795,1796,5,100,0,0,1796,1797,5,95,0,0,1797,1798,5,107,0,0,1798, 1799,5,101,0,0,1799,1800,5,121,0,0,1800,1802,5,115,0,0,1801,1777, 1,0,0,0,1801,1791,1,0,0,0,1802,268,1,0,0,0,1803,1804,5,103,0,0,1804, 1805,5,101,0,0,1805,1806,5,116,0,0,1806,1807,5,95,0,0,1807,1808, 5,114,0,0,1808,1809,5,101,0,0,1809,1810,5,109,0,0,1810,1811,5,111, 0,0,1811,1812,5,118,0,0,1812,1813,5,101,0,0,1813,1814,5,100,0,0, 1814,1815,5,95,0,0,1815,1816,5,107,0,0,1816,1817,5,101,0,0,1817, 1818,5,121,0,0,1818,1832,5,115,0,0,1819,1820,5,114,0,0,1820,1821, 5,101,0,0,1821,1822,5,109,0,0,1822,1823,5,111,0,0,1823,1824,5,118, 0,0,1824,1825,5,101,0,0,1825,1826,5,100,0,0,1826,1827,5,95,0,0,1827, 1828,5,107,0,0,1828,1829,5,101,0,0,1829,1830,5,121,0,0,1830,1832, 5,115,0,0,1831,1803,1,0,0,0,1831,1819,1,0,0,0,1832,270,1,0,0,0,1833, 1834,5,103,0,0,1834,1835,5,101,0,0,1835,1836,5,116,0,0,1836,1837, 5,95,0,0,1837,1838,5,117,0,0,1838,1839,5,110,0,0,1839,1840,5,99, 0,0,1840,1841,5,104,0,0,1841,1842,5,97,0,0,1842,1843,5,110,0,0,1843, 1844,5,103,0,0,1844,1845,5,101,0,0,1845,1846,5,100,0,0,1846,1847, 5,95,0,0,1847,1848,5,107,0,0,1848,1849,5,101,0,0,1849,1850,5,121, 0,0,1850,1866,5,115,0,0,1851,1852,5,117,0,0,1852,1853,5,110,0,0, 1853,1854,5,99,0,0,1854,1855,5,104,0,0,1855,1856,5,97,0,0,1856,1857, 5,110,0,0,1857,1858,5,103,0,0,1858,1859,5,101,0,0,1859,1860,5,100, 0,0,1860,1861,5,95,0,0,1861,1862,5,107,0,0,1862,1863,5,101,0,0,1863, 1864,5,121,0,0,1864,1866,5,115,0,0,1865,1833,1,0,0,0,1865,1851,1, 0,0,0,1866,272,1,0,0,0,1867,1868,5,114,0,0,1868,1869,5,101,0,0,1869, 1870,5,112,0,0,1870,1871,5,101,0,0,1871,1872,5,97,0,0,1872,1873, 5,116,0,0,1873,274,1,0,0,0,1874,1875,5,102,0,0,1875,1876,5,108,0, 0,1876,1877,5,97,0,0,1877,1878,5,116,0,0,1878,1879,5,116,0,0,1879, 1880,5,101,0,0,1880,1881,5,110,0,0,1881,276,1,0,0,0,1882,1883,5, 97,0,0,1883,1884,5,112,0,0,1884,1885,5,112,0,0,1885,1886,5,101,0, 0,1886,1887,5,110,0,0,1887,1888,5,100,0,0,1888,278,1,0,0,0,1889, 1890,5,103,0,0,1890,1891,5,101,0,0,1891,1892,5,116,0,0,1892,1893, 5,95,0,0,1893,1894,5,118,0,0,1894,1895,5,97,0,0,1895,1896,5,108, 0,0,1896,1897,5,117,0,0,1897,1898,5,101,0,0,1898,280,1,0,0,0,1899, 1900,5,102,0,0,1900,1901,5,108,0,0,1901,1902,5,111,0,0,1902,1903, 5,119,0,0,1903,1904,5,95,0,0,1904,1905,5,97,0,0,1905,1906,5,112, 0,0,1906,1907,5,112,0,0,1907,1908,5,108,0,0,1908,1909,5,121,0,0, 1909,282,1,0,0,0,1910,1911,5,98,0,0,1911,1912,5,97,0,0,1912,1913, 5,116,0,0,1913,1914,5,99,0,0,1914,1915,5,104,0,0,1915,1916,5,95, 0,0,1916,1917,5,115,0,0,1917,1918,5,104,0,0,1918,1919,5,117,0,0, 1919,1920,5,102,0,0,1920,1921,5,102,0,0,1921,1922,5,108,0,0,1922, 1937,5,101,0,0,1923,1924,5,115,0,0,1924,1925,5,104,0,0,1925,1926, 5,117,0,0,1926,1927,5,102,0,0,1927,1928,5,102,0,0,1928,1929,5,108, 0,0,1929,1937,5,101,0,0,1930,1931,5,115,0,0,1931,1932,5,101,0,0, 1932,1933,5,108,0,0,1933,1934,5,101,0,0,1934,1935,5,99,0,0,1935, 1937,5,116,0,0,1936,1910,1,0,0,0,1936,1923,1,0,0,0,1936,1930,1,0, 0,0,1937,284,1,0,0,0,1938,1939,5,109,0,0,1939,1940,5,111,0,0,1940, 1941,5,116,0,0,1941,1942,5,105,0,0,1942,1943,5,111,0,0,1943,1944, 5,110,0,0,1944,1945,5,95,0,0,1945,1946,5,109,0,0,1946,1947,5,97, 0,0,1947,1948,5,115,0,0,1948,1949,5,107,0,0,1949,286,1,0,0,0,1950, 1951,5,102,0,0,1951,1952,5,108,0,0,1952,1953,5,111,0,0,1953,1954, 5,119,0,0,1954,1955,5,95,0,0,1955,1956,5,116,0,0,1956,1957,5,111, 0,0,1957,1958,5,95,0,0,1958,1959,5,105,0,0,1959,1960,5,109,0,0,1960, 1961,5,97,0,0,1961,1962,5,103,0,0,1962,1963,5,101,0,0,1963,288,1, 0,0,0,1964,1965,5,102,0,0,1965,1966,5,108,0,0,1966,1967,5,111,0, 0,1967,1968,5,119,0,0,1968,1969,5,95,0,0,1969,1970,5,109,0,0,1970, 1971,5,97,0,0,1971,1987,5,103,0,0,1972,1973,5,102,0,0,1973,1974, 5,108,0,0,1974,1975,5,111,0,0,1975,1976,5,119,0,0,1976,1977,5,95, 0,0,1977,1978,5,109,0,0,1978,1979,5,97,0,0,1979,1980,5,103,0,0,1980, 1981,5,110,0,0,1981,1982,5,105,0,0,1982,1983,5,116,0,0,1983,1984, 5,117,0,0,1984,1985,5,100,0,0,1985,1987,5,101,0,0,1986,1964,1,0, 0,0,1986,1972,1,0,0,0,1987,290,1,0,0,0,1988,1989,5,102,0,0,1989, 1990,5,108,0,0,1990,1991,5,111,0,0,1991,1992,5,119,0,0,1992,1993, 5,95,0,0,1993,1994,5,97,0,0,1994,1995,5,110,0,0,1995,2007,5,103, 0,0,1996,1997,5,102,0,0,1997,1998,5,108,0,0,1998,1999,5,111,0,0, 1999,2000,5,119,0,0,2000,2001,5,95,0,0,2001,2002,5,97,0,0,2002,2003, 5,110,0,0,2003,2004,5,103,0,0,2004,2005,5,108,0,0,2005,2007,5,101, 0,0,2006,1988,1,0,0,0,2006,1996,1,0,0,0,2007,292,1,0,0,0,2008,2009, 5,119,0,0,2009,2010,5,104,0,0,2010,2011,5,101,0,0,2011,2012,5,114, 0,0,2012,2013,5,101,0,0,2013,294,1,0,0,0,2014,2015,5,104,0,0,2015, 2016,5,105,0,0,2016,2017,5,115,0,0,2017,2018,5,116,0,0,2018,2019, 5,111,0,0,2019,2020,5,103,0,0,2020,2021,5,114,0,0,2021,2022,5,97, 0,0,2022,2028,5,109,0,0,2023,2024,5,104,0,0,2024,2025,5,105,0,0, 2025,2026,5,115,0,0,2026,2028,5,116,0,0,2027,2014,1,0,0,0,2027,2023, 1,0,0,0,2028,296,1,0,0,0,2029,2030,5,111,0,0,2030,2031,5,118,0,0, 2031,2032,5,101,0,0,2032,2033,5,114,0,0,2033,2034,5,108,0,0,2034, 2035,5,97,0,0,2035,2036,5,121,0,0,2036,298,1,0,0,0,2037,2038,5,98, 0,0,2038,2039,5,108,0,0,2039,2040,5,101,0,0,2040,2041,5,110,0,0, 2041,2042,5,100,0,0,2042,300,1,0,0,0,2043,2044,5,112,0,0,2044,2045, 5,97,0,0,2045,2046,5,100,0,0,2046,302,1,0,0,0,2047,2048,5,99,0,0, 2048,2049,5,114,0,0,2049,2050,5,111,0,0,2050,2051,5,115,0,0,2051, 2052,5,115,0,0,2052,304,1,0,0,0,2053,2054,5,109,0,0,2054,2055,5, 97,0,0,2055,2056,5,116,0,0,2056,2057,5,109,0,0,2057,2058,5,117,0, 0,2058,2059,5,108,0,0,2059,306,1,0,0,0,2060,2061,5,115,0,0,2061, 2062,5,111,0,0,2062,2063,5,108,0,0,2063,2064,5,118,0,0,2064,2065, 5,101,0,0,2065,308,1,0,0,0,2066,2067,5,109,0,0,2067,2068,5,97,0, 0,2068,2069,5,116,0,0,2069,2070,5,114,0,0,2070,2071,5,105,0,0,2071, 2072,5,120,0,0,2072,2073,5,95,0,0,2073,2074,5,114,0,0,2074,2075, 5,97,0,0,2075,2076,5,110,0,0,2076,2077,5,107,0,0,2077,310,1,0,0, 0,2078,2079,5,114,0,0,2079,2080,5,105,0,0,2080,2081,5,102,0,0,2081, 2082,5,101,0,0,2082,312,1,0,0,0,2083,2084,5,98,0,0,2084,2085,5,110, 0,0,2085,2086,5,111,0,0,2086,2099,5,116,0,0,2087,2088,5,98,0,0,2088, 2089,5,105,0,0,2089,2090,5,116,0,0,2090,2091,5,119,0,0,2091,2092, 5,105,0,0,2092,2093,5,115,0,0,2093,2094,5,101,0,0,2094,2095,5,95, 0,0,2095,2096,5,110,0,0,2096,2097,5,111,0,0,2097,2099,5,116,0,0, 2098,2083,1,0,0,0,2098,2087,1,0,0,0,2099,314,1,0,0,0,2100,2101,5, 98,0,0,2101,2102,5,105,0,0,2102,2103,5,116,0,0,2103,2104,5,99,0, 0,2104,2105,5,111,0,0,2105,2106,5,117,0,0,2106,2107,5,110,0,0,2107, 2123,5,116,0,0,2108,2109,5,112,0,0,2109,2110,5,111,0,0,2110,2111, 5,112,0,0,2111,2112,5,99,0,0,2112,2113,5,111,0,0,2113,2114,5,117, 0,0,2114,2115,5,110,0,0,2115,2123,5,116,0,0,2116,2117,5,112,0,0, 2117,2118,5,111,0,0,2118,2119,5,112,0,0,2119,2120,5,99,0,0,2120, 2121,5,110,0,0,2121,2123,5,116,0,0,2122,2100,1,0,0,0,2122,2108,1, 0,0,0,2122,2116,1,0,0,0,2123,316,1,0,0,0,2124,2125,5,115,0,0,2125, 2126,5,104,0,0,2126,2127,5,97,0,0,2127,2128,5,112,0,0,2128,2129, 5,101,0,0,2129,318,1,0,0,0,2130,2131,5,98,0,0,2131,2132,5,97,0,0, 2132,2133,5,110,0,0,2133,2146,5,100,0,0,2134,2135,5,98,0,0,2135, 2136,5,105,0,0,2136,2137,5,116,0,0,2137,2138,5,119,0,0,2138,2139, 5,105,0,0,2139,2140,5,115,0,0,2140,2141,5,101,0,0,2141,2142,5,95, 0,0,2142,2143,5,97,0,0,2143,2144,5,110,0,0,2144,2146,5,100,0,0,2145, 2130,1,0,0,0,2145,2134,1,0,0,0,2146,320,1,0,0,0,2147,2148,5,98,0, 0,2148,2149,5,120,0,0,2149,2150,5,111,0,0,2150,2163,5,114,0,0,2151, 2152,5,98,0,0,2152,2153,5,105,0,0,2153,2154,5,116,0,0,2154,2155, 5,119,0,0,2155,2156,5,105,0,0,2156,2157,5,115,0,0,2157,2158,5,101, 0,0,2158,2159,5,95,0,0,2159,2160,5,120,0,0,2160,2161,5,111,0,0,2161, 2163,5,114,0,0,2162,2147,1,0,0,0,2162,2151,1,0,0,0,2163,322,1,0, 0,0,2164,2165,5,98,0,0,2165,2166,5,111,0,0,2166,2178,5,114,0,0,2167, 2168,5,98,0,0,2168,2169,5,105,0,0,2169,2170,5,116,0,0,2170,2171, 5,119,0,0,2171,2172,5,105,0,0,2172,2173,5,115,0,0,2173,2174,5,101, 0,0,2174,2175,5,95,0,0,2175,2176,5,111,0,0,2176,2178,5,114,0,0,2177, 2164,1,0,0,0,2177,2167,1,0,0,0,2178,324,1,0,0,0,2179,2180,5,116, 0,0,2180,2181,5,101,0,0,2181,2182,5,110,0,0,2182,2183,5,115,0,0, 2183,2184,5,111,0,0,2184,2185,5,114,0,0,2185,326,1,0,0,0,2186,2187, 5,122,0,0,2187,2188,5,101,0,0,2188,2189,5,114,0,0,2189,2190,5,111, 0,0,2190,2191,5,115,0,0,2191,328,1,0,0,0,2192,2193,5,111,0,0,2193, 2194,5,110,0,0,2194,2195,5,101,0,0,2195,2196,5,115,0,0,2196,330, 1,0,0,0,2197,2198,5,101,0,0,2198,2199,5,121,0,0,2199,2200,5,101, 0,0,2200,332,1,0,0,0,2201,2202,5,111,0,0,2202,2203,5,110,0,0,2203, 2204,5,101,0,0,2204,2205,5,95,0,0,2205,2206,5,104,0,0,2206,2207, 5,111,0,0,2207,2208,5,116,0,0,2208,334,1,0,0,0,2209,2210,5,109,0, 0,2210,2211,5,115,0,0,2211,2212,5,101,0,0,2212,336,1,0,0,0,2213, 2214,5,109,0,0,2214,2215,5,97,0,0,2215,2216,5,101,0,0,2216,338,1, 0,0,0,2217,2218,5,112,0,0,2218,2219,5,115,0,0,2219,2220,5,110,0, 0,2220,2221,5,114,0,0,2221,340,1,0,0,0,2222,2223,5,119,0,0,2223, 2224,5,101,0,0,2224,2225,5,105,0,0,2225,2226,5,103,0,0,2226,2227, 5,104,0,0,2227,2228,5,116,0,0,2228,2229,5,101,0,0,2229,2230,5,100, 0,0,2230,2231,5,95,0,0,2231,2232,5,109,0,0,2232,2233,5,101,0,0,2233, 2234,5,97,0,0,2234,2235,5,110,0,0,2235,342,1,0,0,0,2236,2237,5,104, 0,0,2237,2238,5,117,0,0,2238,2239,5,98,0,0,2239,2240,5,101,0,0,2240, 2241,5,114,0,0,2241,2242,5,95,0,0,2242,2243,5,108,0,0,2243,2244, 5,111,0,0,2244,2245,5,115,0,0,2245,2246,5,115,0,0,2246,344,1,0,0, 0,2247,2248,5,99,0,0,2248,2249,5,114,0,0,2249,2250,5,111,0,0,2250, 2251,5,115,0,0,2251,2252,5,115,0,0,2252,2253,5,95,0,0,2253,2254, 5,101,0,0,2254,2255,5,110,0,0,2255,2256,5,116,0,0,2256,2257,5,114, 0,0,2257,2258,5,111,0,0,2258,2259,5,112,0,0,2259,2260,5,121,0,0, 2260,346,1,0,0,0,2261,2262,5,97,0,0,2262,2263,5,100,0,0,2263,2264, 5,100,0,0,2264,2265,5,95,0,0,2265,2266,5,107,0,0,2266,2267,5,101, 0,0,2267,2268,5,121,0,0,2268,348,1,0,0,0,2269,2270,5,114,0,0,2270, 2271,5,101,0,0,2271,2272,5,109,0,0,2272,2273,5,111,0,0,2273,2274, 5,118,0,0,2274,2275,5,101,0,0,2275,2276,5,95,0,0,2276,2277,5,107, 0,0,2277,2278,5,101,0,0,2278,2286,5,121,0,0,2279,2280,5,114,0,0, 2280,2281,5,109,0,0,2281,2282,5,95,0,0,2282,2283,5,107,0,0,2283, 2284,5,101,0,0,2284,2286,5,121,0,0,2285,2269,1,0,0,0,2285,2279,1, 0,0,0,2286,350,1,0,0,0,2287,2288,5,115,0,0,2288,2289,5,116,0,0,2289, 2290,5,97,0,0,2290,2291,5,99,0,0,2291,2292,5,107,0,0,2292,2293,5, 95,0,0,2293,2294,5,112,0,0,2294,2295,5,117,0,0,2295,2296,5,115,0, 0,2296,2297,5,104,0,0,2297,352,1,0,0,0,2298,2299,5,115,0,0,2299, 2300,5,116,0,0,2300,2301,5,97,0,0,2301,2302,5,99,0,0,2302,2303,5, 107,0,0,2303,2304,5,95,0,0,2304,2305,5,112,0,0,2305,2306,5,111,0, 0,2306,2307,5,112,0,0,2307,354,1,0,0,0,2308,2309,5,115,0,0,2309, 2310,5,116,0,0,2310,2311,5,97,0,0,2311,2312,5,99,0,0,2312,2313,5, 107,0,0,2313,2314,5,95,0,0,2314,2315,5,99,0,0,2315,2316,5,108,0, 0,2316,2317,5,101,0,0,2317,2318,5,97,0,0,2318,2319,5,114,0,0,2319, 356,1,0,0,0,2320,2321,5,115,0,0,2321,2322,5,116,0,0,2322,2323,5, 97,0,0,2323,2324,5,99,0,0,2324,2325,5,107,0,0,2325,2326,5,95,0,0, 2326,2327,5,104,0,0,2327,2328,5,97,0,0,2328,2329,5,115,0,0,2329, 358,1,0,0,0,2330,2331,5,115,0,0,2331,2332,5,116,0,0,2332,2333,5, 97,0,0,2333,2334,5,99,0,0,2334,2335,5,107,0,0,2335,2336,5,95,0,0, 2336,2337,5,103,0,0,2337,2338,5,101,0,0,2338,2339,5,116,0,0,2339, 360,1,0,0,0,2340,2341,5,99,0,0,2341,2342,5,97,0,0,2342,2361,5,116, 0,0,2343,2344,5,99,0,0,2344,2345,5,111,0,0,2345,2346,5,110,0,0,2346, 2347,5,99,0,0,2347,2348,5,97,0,0,2348,2361,5,116,0,0,2349,2350,5, 99,0,0,2350,2351,5,111,0,0,2351,2352,5,110,0,0,2352,2353,5,99,0, 0,2353,2354,5,97,0,0,2354,2355,5,116,0,0,2355,2356,5,101,0,0,2356, 2357,5,110,0,0,2357,2358,5,97,0,0,2358,2359,5,116,0,0,2359,2361, 5,101,0,0,2360,2340,1,0,0,0,2360,2343,1,0,0,0,2360,2349,1,0,0,0, 2361,362,1,0,0,0,2362,2363,5,115,0,0,2363,2364,5,116,0,0,2364,2365, 5,97,0,0,2365,2366,5,99,0,0,2366,2367,5,107,0,0,2367,364,1,0,0,0, 2368,2369,5,110,0,0,2369,2370,5,111,0,0,2370,2371,5,110,0,0,2371, 2372,5,122,0,0,2372,2373,5,101,0,0,2373,2374,5,114,0,0,2374,2375, 5,111,0,0,2375,366,1,0,0,0,2376,2377,5,105,0,0,2377,2378,5,110,0, 0,2378,2379,5,116,0,0,2379,368,1,0,0,0,2380,2381,5,102,0,0,2381, 2382,5,108,0,0,2382,2383,5,111,0,0,2383,2384,5,97,0,0,2384,2385, 5,116,0,0,2385,370,1,0,0,0,2386,2387,5,117,0,0,2387,2388,5,112,0, 0,2388,2389,5,112,0,0,2389,2390,5,101,0,0,2390,2391,5,114,0,0,2391, 372,1,0,0,0,2392,2393,5,108,0,0,2393,2394,5,111,0,0,2394,2395,5, 119,0,0,2395,2396,5,101,0,0,2396,2397,5,114,0,0,2397,374,1,0,0,0, 2398,2399,5,116,0,0,2399,2400,5,114,0,0,2400,2401,5,105,0,0,2401, 2402,5,109,0,0,2402,376,1,0,0,0,2403,2404,5,115,0,0,2404,2405,5, 112,0,0,2405,2406,5,108,0,0,2406,2407,5,105,0,0,2407,2408,5,116, 0,0,2408,378,1,0,0,0,2409,2410,5,106,0,0,2410,2411,5,111,0,0,2411, 2412,5,105,0,0,2412,2413,5,110,0,0,2413,380,1,0,0,0,2414,2415,5, 115,0,0,2415,2416,5,117,0,0,2416,2417,5,98,0,0,2417,2418,5,115,0, 0,2418,2419,5,116,0,0,2419,2420,5,114,0,0,2420,2421,5,105,0,0,2421, 2422,5,110,0,0,2422,2430,5,103,0,0,2423,2424,5,115,0,0,2424,2425, 5,117,0,0,2425,2426,5,98,0,0,2426,2427,5,115,0,0,2427,2428,5,116, 0,0,2428,2430,5,114,0,0,2429,2414,1,0,0,0,2429,2423,1,0,0,0,2430, 382,1,0,0,0,2431,2432,5,102,0,0,2432,2433,5,105,0,0,2433,2434,5, 110,0,0,2434,2435,5,100,0,0,2435,384,1,0,0,0,2436,2437,5,114,0,0, 2437,2438,5,101,0,0,2438,2439,5,112,0,0,2439,2440,5,108,0,0,2440, 2441,5,97,0,0,2441,2442,5,99,0,0,2442,2443,5,101,0,0,2443,386,1, 0,0,0,2444,2445,5,114,0,0,2445,2446,5,101,0,0,2446,2447,5,103,0, 0,2447,2448,5,101,0,0,2448,2449,5,120,0,0,2449,2450,5,95,0,0,2450, 2451,5,115,0,0,2451,2452,5,101,0,0,2452,2453,5,97,0,0,2453,2454, 5,114,0,0,2454,2455,5,99,0,0,2455,2456,5,104,0,0,2456,388,1,0,0, 0,2457,2458,5,114,0,0,2458,2459,5,101,0,0,2459,2460,5,103,0,0,2460, 2461,5,101,0,0,2461,2462,5,120,0,0,2462,2463,5,95,0,0,2463,2464, 5,114,0,0,2464,2465,5,101,0,0,2465,2466,5,112,0,0,2466,2467,5,108, 0,0,2467,2468,5,97,0,0,2468,2469,5,99,0,0,2469,2470,5,101,0,0,2470, 390,1,0,0,0,2471,2472,5,102,0,0,2472,2473,5,111,0,0,2473,2474,5, 114,0,0,2474,2475,5,109,0,0,2475,2476,5,97,0,0,2476,2477,5,116,0, 0,2477,392,1,0,0,0,2478,2479,5,100,0,0,2479,2480,5,105,0,0,2480, 2481,5,108,0,0,2481,2482,5,97,0,0,2482,2483,5,116,0,0,2483,2484, 5,101,0,0,2484,394,1,0,0,0,2485,2486,5,101,0,0,2486,2487,5,114,0, 0,2487,2488,5,111,0,0,2488,2489,5,100,0,0,2489,2490,5,101,0,0,2490, 396,1,0,0,0,2491,2492,5,109,0,0,2492,2493,5,111,0,0,2493,2494,5, 114,0,0,2494,2495,5,112,0,0,2495,2496,5,104,0,0,2496,2497,5,95,0, 0,2497,2498,5,111,0,0,2498,2499,5,112,0,0,2499,2500,5,101,0,0,2500, 2501,5,110,0,0,2501,398,1,0,0,0,2502,2503,5,109,0,0,2503,2504,5, 111,0,0,2504,2505,5,114,0,0,2505,2506,5,112,0,0,2506,2507,5,104, 0,0,2507,2508,5,95,0,0,2508,2509,5,99,0,0,2509,2510,5,108,0,0,2510, 2511,5,111,0,0,2511,2512,5,115,0,0,2512,2513,5,101,0,0,2513,400, 1,0,0,0,2514,2515,5,114,0,0,2515,2516,5,103,0,0,2516,2517,5,98,0, 0,2517,2518,5,95,0,0,2518,2519,5,116,0,0,2519,2520,5,111,0,0,2520, 2521,5,95,0,0,2521,2522,5,111,0,0,2522,2523,5,107,0,0,2523,2524, 5,108,0,0,2524,2525,5,97,0,0,2525,2526,5,98,0,0,2526,402,1,0,0,0, 2527,2528,5,108,0,0,2528,2529,5,117,0,0,2529,2530,5,109,0,0,2530, 2531,5,105,0,0,2531,2532,5,110,0,0,2532,2533,5,97,0,0,2533,2534, 5,110,0,0,2534,2535,5,99,0,0,2535,2536,5,101,0,0,2536,404,1,0,0, 0,2537,2538,5,114,0,0,2538,2539,5,103,0,0,2539,2540,5,98,0,0,2540, 2541,5,95,0,0,2541,2542,5,116,0,0,2542,2543,5,111,0,0,2543,2544, 5,95,0,0,2544,2545,5,99,0,0,2545,2546,5,105,0,0,2546,2547,5,101, 0,0,2547,2548,5,108,0,0,2548,2549,5,97,0,0,2549,2550,5,98,0,0,2550, 406,1,0,0,0,2551,2552,5,111,0,0,2552,2553,5,107,0,0,2553,2554,5, 108,0,0,2554,2555,5,97,0,0,2555,2556,5,98,0,0,2556,2557,5,95,0,0, 2557,2558,5,116,0,0,2558,2559,5,111,0,0,2559,2560,5,95,0,0,2560, 2561,5,114,0,0,2561,2562,5,103,0,0,2562,2563,5,98,0,0,2563,408,1, 0,0,0,2564,2565,5,99,0,0,2565,2566,5,105,0,0,2566,2567,5,101,0,0, 2567,2568,5,108,0,0,2568,2569,5,97,0,0,2569,2570,5,98,0,0,2570,2571, 5,95,0,0,2571,2572,5,116,0,0,2572,2573,5,111,0,0,2573,2574,5,95, 0,0,2574,2575,5,114,0,0,2575,2576,5,103,0,0,2576,2577,5,98,0,0,2577, 410,1,0,0,0,2578,2579,5,114,0,0,2579,2580,5,103,0,0,2580,2581,5, 98,0,0,2581,2582,5,95,0,0,2582,2583,5,116,0,0,2583,2584,5,111,0, 0,2584,2585,5,95,0,0,2585,2586,5,104,0,0,2586,2587,5,115,0,0,2587, 2588,5,118,0,0,2588,412,1,0,0,0,2589,2590,5,104,0,0,2590,2591,5, 115,0,0,2591,2592,5,118,0,0,2592,2593,5,95,0,0,2593,2594,5,116,0, 0,2594,2595,5,111,0,0,2595,2596,5,95,0,0,2596,2597,5,114,0,0,2597, 2598,5,103,0,0,2598,2599,5,98,0,0,2599,414,1,0,0,0,2600,2601,5,105, 0,0,2601,2602,5,110,0,0,2602,2603,5,116,0,0,2603,2604,5,95,0,0,2604, 2605,5,116,0,0,2605,2606,5,111,0,0,2606,2607,5,95,0,0,2607,2608, 5,114,0,0,2608,2609,5,103,0,0,2609,2610,5,98,0,0,2610,416,1,0,0, 0,2611,2612,5,114,0,0,2612,2613,5,103,0,0,2613,2614,5,98,0,0,2614, 2615,5,95,0,0,2615,2616,5,116,0,0,2616,2617,5,111,0,0,2617,2618, 5,95,0,0,2618,2619,5,105,0,0,2619,2620,5,110,0,0,2620,2621,5,116, 0,0,2621,418,1,0,0,0,2622,2623,5,105,0,0,2623,2624,5,110,0,0,2624, 2625,5,116,0,0,2625,2626,5,101,0,0,2626,2627,5,114,0,0,2627,2628, 5,112,0,0,2628,2629,5,111,0,0,2629,2630,5,108,0,0,2630,2631,5,97, 0,0,2631,2632,5,116,0,0,2632,2633,5,101,0,0,2633,2634,5,95,0,0,2634, 2635,5,108,0,0,2635,2636,5,105,0,0,2636,2637,5,110,0,0,2637,2638, 5,101,0,0,2638,2639,5,97,0,0,2639,2640,5,114,0,0,2640,420,1,0,0, 0,2641,2642,5,105,0,0,2642,2643,5,110,0,0,2643,2644,5,116,0,0,2644, 2645,5,101,0,0,2645,2646,5,114,0,0,2646,2647,5,112,0,0,2647,2648, 5,111,0,0,2648,2649,5,108,0,0,2649,2650,5,97,0,0,2650,2651,5,116, 0,0,2651,2652,5,101,0,0,2652,2653,5,95,0,0,2653,2654,5,97,0,0,2654, 2655,5,114,0,0,2655,2656,5,101,0,0,2656,2657,5,97,0,0,2657,422,1, 0,0,0,2658,2659,5,105,0,0,2659,2660,5,110,0,0,2660,2661,5,116,0, 0,2661,2662,5,101,0,0,2662,2663,5,114,0,0,2663,2664,5,112,0,0,2664, 2665,5,111,0,0,2665,2666,5,108,0,0,2666,2667,5,97,0,0,2667,2668, 5,116,0,0,2668,2669,5,101,0,0,2669,2670,5,95,0,0,2670,2671,5,110, 0,0,2671,2672,5,101,0,0,2672,2673,5,97,0,0,2673,2674,5,114,0,0,2674, 2675,5,101,0,0,2675,2676,5,115,0,0,2676,2703,5,116,0,0,2677,2678, 5,105,0,0,2678,2679,5,110,0,0,2679,2680,5,116,0,0,2680,2681,5,101, 0,0,2681,2682,5,114,0,0,2682,2683,5,112,0,0,2683,2684,5,111,0,0, 2684,2685,5,108,0,0,2685,2686,5,97,0,0,2686,2687,5,116,0,0,2687, 2688,5,101,0,0,2688,2689,5,95,0,0,2689,2690,5,110,0,0,2690,2691, 5,101,0,0,2691,2692,5,97,0,0,2692,2693,5,114,0,0,2693,2694,5,101, 0,0,2694,2695,5,115,0,0,2695,2696,5,116,0,0,2696,2697,5,95,0,0,2697, 2698,5,101,0,0,2698,2699,5,120,0,0,2699,2700,5,97,0,0,2700,2701, 5,99,0,0,2701,2703,5,116,0,0,2702,2658,1,0,0,0,2702,2677,1,0,0,0, 2703,424,1,0,0,0,2704,2705,5,116,0,0,2705,2706,5,101,0,0,2706,2707, 5,120,0,0,2707,2708,5,116,0,0,2708,2709,5,95,0,0,2709,2710,5,105, 0,0,2710,2711,5,109,0,0,2711,2712,5,97,0,0,2712,2713,5,103,0,0,2713, 2714,5,101,0,0,2714,426,1,0,0,0,2715,2716,5,97,0,0,2716,2717,5,115, 0,0,2717,2718,5,95,0,0,2718,2719,5,110,0,0,2719,2720,5,101,0,0,2720, 2721,5,115,0,0,2721,2722,5,116,0,0,2722,2723,5,101,0,0,2723,2724, 5,100,0,0,2724,2725,5,95,0,0,2725,2726,5,116,0,0,2726,2727,5,101, 0,0,2727,2728,5,110,0,0,2728,2729,5,115,0,0,2729,2730,5,111,0,0, 2730,2741,5,114,0,0,2731,2732,5,97,0,0,2732,2733,5,115,0,0,2733, 2734,5,95,0,0,2734,2735,5,110,0,0,2735,2736,5,101,0,0,2736,2737, 5,115,0,0,2737,2738,5,116,0,0,2738,2739,5,101,0,0,2739,2741,5,100, 0,0,2740,2715,1,0,0,0,2740,2731,1,0,0,0,2741,428,1,0,0,0,2742,2743, 5,115,0,0,2743,2744,5,118,0,0,2744,2774,5,100,0,0,2745,2746,5,115, 0,0,2746,2747,5,105,0,0,2747,2748,5,110,0,0,2748,2749,5,103,0,0, 2749,2750,5,117,0,0,2750,2751,5,108,0,0,2751,2752,5,97,0,0,2752, 2753,5,114,0,0,2753,2754,5,95,0,0,2754,2755,5,118,0,0,2755,2756, 5,97,0,0,2756,2757,5,108,0,0,2757,2758,5,117,0,0,2758,2759,5,101, 0,0,2759,2760,5,95,0,0,2760,2761,5,100,0,0,2761,2762,5,101,0,0,2762, 2763,5,99,0,0,2763,2764,5,111,0,0,2764,2765,5,109,0,0,2765,2766, 5,112,0,0,2766,2767,5,111,0,0,2767,2768,5,115,0,0,2768,2769,5,105, 0,0,2769,2770,5,116,0,0,2770,2771,5,105,0,0,2771,2772,5,111,0,0, 2772,2774,5,110,0,0,2773,2742,1,0,0,0,2773,2745,1,0,0,0,2774,430, 1,0,0,0,2775,2776,5,100,0,0,2776,2777,5,105,0,0,2777,2778,5,97,0, 0,2778,2779,5,103,0,0,2779,2780,5,111,0,0,2780,2781,5,110,0,0,2781, 2782,5,97,0,0,2782,2783,5,108,0,0,2783,2784,5,95,0,0,2784,2785,5, 109,0,0,2785,2786,5,97,0,0,2786,2787,5,116,0,0,2787,2788,5,114,0, 0,2788,2789,5,105,0,0,2789,2795,5,120,0,0,2790,2791,5,100,0,0,2791, 2792,5,105,0,0,2792,2793,5,97,0,0,2793,2795,5,103,0,0,2794,2775, 1,0,0,0,2794,2790,1,0,0,0,2795,432,1,0,0,0,2796,2797,5,105,0,0,2797, 2798,5,102,0,0,2798,434,1,0,0,0,2799,2800,5,101,0,0,2800,2801,5, 108,0,0,2801,2802,5,115,0,0,2802,2803,5,101,0,0,2803,436,1,0,0,0, 2804,2805,5,119,0,0,2805,2806,5,104,0,0,2806,2807,5,105,0,0,2807, 2808,5,108,0,0,2808,2809,5,101,0,0,2809,438,1,0,0,0,2810,2811,5, 102,0,0,2811,2812,5,111,0,0,2812,2813,5,114,0,0,2813,440,1,0,0,0, 2814,2815,5,105,0,0,2815,2816,5,110,0,0,2816,442,1,0,0,0,2817,2818, 5,98,0,0,2818,2819,5,114,0,0,2819,2820,5,101,0,0,2820,2821,5,97, 0,0,2821,2822,5,107,0,0,2822,444,1,0,0,0,2823,2824,5,99,0,0,2824, 2825,5,111,0,0,2825,2826,5,110,0,0,2826,2827,5,116,0,0,2827,2828, 5,105,0,0,2828,2829,5,110,0,0,2829,2830,5,117,0,0,2830,2831,5,101, 0,0,2831,446,1,0,0,0,2832,2833,5,114,0,0,2833,2834,5,101,0,0,2834, 2835,5,116,0,0,2835,2836,5,117,0,0,2836,2837,5,114,0,0,2837,2838, 5,110,0,0,2838,448,1,0,0,0,2839,2840,5,116,0,0,2840,2841,5,105,0, 0,2841,2842,5,109,0,0,2842,2843,5,101,0,0,2843,2844,5,115,0,0,2844, 2845,5,116,0,0,2845,2846,5,97,0,0,2846,2847,5,109,0,0,2847,2852, 5,112,0,0,2848,2849,5,110,0,0,2849,2850,5,111,0,0,2850,2852,5,119, 0,0,2851,2839,1,0,0,0,2851,2848,1,0,0,0,2852,450,1,0,0,0,2853,2854, 5,115,0,0,2854,2855,5,111,0,0,2855,2856,5,114,0,0,2856,2857,5,116, 0,0,2857,452,1,0,0,0,2858,2859,5,97,0,0,2859,2860,5,114,0,0,2860, 2861,5,103,0,0,2861,2862,5,115,0,0,2862,2863,5,111,0,0,2863,2864, 5,114,0,0,2864,2865,5,116,0,0,2865,454,1,0,0,0,2866,2867,5,97,0, 0,2867,2868,5,114,0,0,2868,2869,5,103,0,0,2869,2870,5,109,0,0,2870, 2871,5,105,0,0,2871,2872,5,110,0,0,2872,456,1,0,0,0,2873,2874,5, 97,0,0,2874,2875,5,114,0,0,2875,2876,5,103,0,0,2876,2877,5,109,0, 0,2877,2878,5,97,0,0,2878,2879,5,120,0,0,2879,458,1,0,0,0,2880,2881, 5,115,0,0,2881,2882,5,111,0,0,2882,2883,5,102,0,0,2883,2884,5,116, 0,0,2884,2885,5,109,0,0,2885,2886,5,97,0,0,2886,2887,5,120,0,0,2887, 460,1,0,0,0,2888,2889,5,115,0,0,2889,2890,5,111,0,0,2890,2891,5, 102,0,0,2891,2892,5,116,0,0,2892,2893,5,109,0,0,2893,2894,5,105, 0,0,2894,2895,5,110,0,0,2895,462,1,0,0,0,2896,2897,5,117,0,0,2897, 2898,5,110,0,0,2898,2899,5,105,0,0,2899,2900,5,113,0,0,2900,2901, 5,117,0,0,2901,2902,5,101,0,0,2902,464,1,0,0,0,2903,2904,5,102,0, 0,2904,2905,5,108,0,0,2905,2906,5,105,0,0,2906,2907,5,112,0,0,2907, 466,1,0,0,0,2908,2909,5,115,0,0,2909,2910,5,116,0,0,2910,2911,5, 97,0,0,2911,2912,5,114,0,0,2912,2913,5,116,0,0,2913,2914,5,115,0, 0,2914,2915,5,119,0,0,2915,2916,5,105,0,0,2916,2917,5,116,0,0,2917, 2918,5,104,0,0,2918,468,1,0,0,0,2919,2920,5,101,0,0,2920,2921,5, 110,0,0,2921,2922,5,100,0,0,2922,2923,5,115,0,0,2923,2924,5,119, 0,0,2924,2925,5,105,0,0,2925,2926,5,116,0,0,2926,2927,5,104,0,0, 2927,470,1,0,0,0,2928,2929,5,115,0,0,2929,2930,5,113,0,0,2930,2931, 5,117,0,0,2931,2932,5,101,0,0,2932,2933,5,101,0,0,2933,2934,5,122, 0,0,2934,2935,5,101,0,0,2935,472,1,0,0,0,2936,2937,5,117,0,0,2937, 2938,5,110,0,0,2938,2939,5,115,0,0,2939,2940,5,113,0,0,2940,2941, 5,117,0,0,2941,2942,5,101,0,0,2942,2943,5,101,0,0,2943,2944,5,122, 0,0,2944,2945,5,101,0,0,2945,474,1,0,0,0,2946,2947,5,114,0,0,2947, 2948,5,111,0,0,2948,2949,5,108,0,0,2949,2950,5,108,0,0,2950,476, 1,0,0,0,2951,2952,5,99,0,0,2952,2953,5,111,0,0,2953,2954,5,118,0, 0,2954,478,1,0,0,0,2955,2956,5,99,0,0,2956,2957,5,111,0,0,2957,2958, 5,114,0,0,2958,2971,5,114,0,0,2959,2960,5,99,0,0,2960,2961,5,111, 0,0,2961,2962,5,114,0,0,2962,2963,5,114,0,0,2963,2964,5,101,0,0, 2964,2965,5,108,0,0,2965,2966,5,97,0,0,2966,2967,5,116,0,0,2967, 2968,5,105,0,0,2968,2969,5,111,0,0,2969,2971,5,110,0,0,2970,2955, 1,0,0,0,2970,2959,1,0,0,0,2971,480,1,0,0,0,2972,2973,5,101,0,0,2973, 2974,5,110,0,0,2974,2975,5,116,0,0,2975,2976,5,114,0,0,2976,2977, 5,111,0,0,2977,2978,5,112,0,0,2978,2979,5,121,0,0,2979,482,1,0,0, 0,2980,2981,5,99,0,0,2981,2982,5,114,0,0,2982,2983,5,111,0,0,2983, 2984,5,112,0,0,2984,484,1,0,0,0,2985,2986,5,110,0,0,2986,2987,5, 111,0,0,2987,2988,5,110,0,0,2988,3002,5,101,0,0,2989,2990,5,78,0, 0,2990,2991,5,111,0,0,2991,2992,5,110,0,0,2992,3002,5,101,0,0,2993, 2994,5,110,0,0,2994,2995,5,117,0,0,2995,2996,5,108,0,0,2996,3002, 5,108,0,0,2997,2998,5,78,0,0,2998,2999,5,85,0,0,2999,3000,5,76,0, 0,3000,3002,5,76,0,0,3001,2985,1,0,0,0,3001,2989,1,0,0,0,3001,2993, 1,0,0,0,3001,2997,1,0,0,0,3002,486,1,0,0,0,3003,3004,5,99,0,0,3004, 3005,5,111,0,0,3005,3006,5,111,0,0,3006,3007,5,114,0,0,3007,3008, 5,100,0,0,3008,3021,5,115,0,0,3009,3010,5,99,0,0,3010,3011,5,111, 0,0,3011,3012,5,111,0,0,3012,3013,5,114,0,0,3013,3014,5,100,0,0, 3014,3015,5,105,0,0,3015,3016,5,110,0,0,3016,3017,5,97,0,0,3017, 3018,5,116,0,0,3018,3019,5,101,0,0,3019,3021,5,115,0,0,3020,3003, 1,0,0,0,3020,3009,1,0,0,0,3021,488,1,0,0,0,3022,3023,5,103,0,0,3023, 3024,5,97,0,0,3024,3025,5,116,0,0,3025,3026,5,104,0,0,3026,3027, 5,101,0,0,3027,3028,5,114,0,0,3028,490,1,0,0,0,3029,3030,5,115,0, 0,3030,3031,5,99,0,0,3031,3032,5,97,0,0,3032,3033,5,116,0,0,3033, 3034,5,116,0,0,3034,3035,5,101,0,0,3035,3036,5,114,0,0,3036,492, 1,0,0,0,3037,3038,5,115,0,0,3038,3039,5,99,0,0,3039,3040,5,97,0, 0,3040,3041,5,116,0,0,3041,3042,5,116,0,0,3042,3043,5,101,0,0,3043, 3044,5,114,0,0,3044,3045,5,95,0,0,3045,3046,5,97,0,0,3046,3047,5, 100,0,0,3047,3048,5,100,0,0,3048,494,1,0,0,0,3049,3050,5,110,0,0, 3050,3051,5,111,0,0,3051,3052,5,105,0,0,3052,3053,5,115,0,0,3053, 3073,5,101,0,0,3054,3055,5,114,0,0,3055,3056,5,97,0,0,3056,3057, 5,110,0,0,3057,3058,5,100,0,0,3058,3073,5,110,0,0,3059,3060,5,114, 0,0,3060,3061,5,97,0,0,3061,3062,5,110,0,0,3062,3063,5,100,0,0,3063, 3064,5,111,0,0,3064,3065,5,109,0,0,3065,3066,5,95,0,0,3066,3067, 5,110,0,0,3067,3068,5,111,0,0,3068,3069,5,114,0,0,3069,3070,5,109, 0,0,3070,3071,5,97,0,0,3071,3073,5,108,0,0,3072,3049,1,0,0,0,3072, 3054,1,0,0,0,3072,3059,1,0,0,0,3073,496,1,0,0,0,3074,3075,5,112, 0,0,3075,3076,5,105,0,0,3076,3077,5,110,0,0,3077,3078,5,107,0,0, 3078,3079,5,95,0,0,3079,3080,5,110,0,0,3080,3081,5,111,0,0,3081, 3082,5,105,0,0,3082,3083,5,115,0,0,3083,3089,5,101,0,0,3084,3085, 5,112,0,0,3085,3086,5,105,0,0,3086,3087,5,110,0,0,3087,3089,5,107, 0,0,3088,3074,1,0,0,0,3088,3084,1,0,0,0,3089,498,1,0,0,0,3090,3091, 5,98,0,0,3091,3092,5,114,0,0,3092,3093,5,111,0,0,3093,3094,5,119, 0,0,3094,3095,5,110,0,0,3095,3096,5,95,0,0,3096,3097,5,110,0,0,3097, 3098,5,111,0,0,3098,3099,5,105,0,0,3099,3100,5,115,0,0,3100,3107, 5,101,0,0,3101,3102,5,98,0,0,3102,3103,5,114,0,0,3103,3104,5,111, 0,0,3104,3105,5,119,0,0,3105,3107,5,110,0,0,3106,3090,1,0,0,0,3106, 3101,1,0,0,0,3107,500,1,0,0,0,3108,3109,5,114,0,0,3109,3110,5,97, 0,0,3110,3111,5,110,0,0,3111,3132,5,100,0,0,3112,3113,5,114,0,0, 3113,3114,5,97,0,0,3114,3115,5,110,0,0,3115,3116,5,100,0,0,3116, 3132,5,117,0,0,3117,3118,5,114,0,0,3118,3119,5,97,0,0,3119,3120, 5,110,0,0,3120,3121,5,100,0,0,3121,3122,5,111,0,0,3122,3123,5,109, 0,0,3123,3124,5,95,0,0,3124,3125,5,117,0,0,3125,3126,5,110,0,0,3126, 3127,5,105,0,0,3127,3128,5,102,0,0,3128,3129,5,111,0,0,3129,3130, 5,114,0,0,3130,3132,5,109,0,0,3131,3108,1,0,0,0,3131,3112,1,0,0, 0,3131,3117,1,0,0,0,3132,502,1,0,0,0,3133,3134,5,114,0,0,3134,3135, 5,97,0,0,3135,3136,5,110,0,0,3136,3137,5,100,0,0,3137,3152,5,99, 0,0,3138,3139,5,114,0,0,3139,3140,5,97,0,0,3140,3141,5,110,0,0,3141, 3142,5,100,0,0,3142,3143,5,111,0,0,3143,3144,5,109,0,0,3144,3145, 5,95,0,0,3145,3146,5,99,0,0,3146,3147,5,97,0,0,3147,3148,5,117,0, 0,3148,3149,5,99,0,0,3149,3150,5,104,0,0,3150,3152,5,121,0,0,3151, 3133,1,0,0,0,3151,3138,1,0,0,0,3152,504,1,0,0,0,3153,3154,5,114, 0,0,3154,3155,5,97,0,0,3155,3156,5,110,0,0,3156,3157,5,100,0,0,3157, 3177,5,101,0,0,3158,3159,5,114,0,0,3159,3160,5,97,0,0,3160,3161, 5,110,0,0,3161,3162,5,100,0,0,3162,3163,5,111,0,0,3163,3164,5,109, 0,0,3164,3165,5,95,0,0,3165,3166,5,101,0,0,3166,3167,5,120,0,0,3167, 3168,5,112,0,0,3168,3169,5,111,0,0,3169,3170,5,110,0,0,3170,3171, 5,101,0,0,3171,3172,5,110,0,0,3172,3173,5,116,0,0,3173,3174,5,105, 0,0,3174,3175,5,97,0,0,3175,3177,5,108,0,0,3176,3153,1,0,0,0,3176, 3158,1,0,0,0,3177,506,1,0,0,0,3178,3179,5,114,0,0,3179,3180,5,97, 0,0,3180,3181,5,110,0,0,3181,3182,5,100,0,0,3182,3183,5,108,0,0, 3183,3202,5,110,0,0,3184,3185,5,114,0,0,3185,3186,5,97,0,0,3186, 3187,5,110,0,0,3187,3188,5,100,0,0,3188,3189,5,111,0,0,3189,3190, 5,109,0,0,3190,3191,5,95,0,0,3191,3192,5,108,0,0,3192,3193,5,111, 0,0,3193,3194,5,103,0,0,3194,3195,5,95,0,0,3195,3196,5,110,0,0,3196, 3197,5,111,0,0,3197,3198,5,114,0,0,3198,3199,5,109,0,0,3199,3200, 5,97,0,0,3200,3202,5,108,0,0,3201,3178,1,0,0,0,3201,3184,1,0,0,0, 3202,508,1,0,0,0,3203,3204,5,114,0,0,3204,3205,5,97,0,0,3205,3206, 5,110,0,0,3206,3207,5,100,0,0,3207,3225,5,98,0,0,3208,3209,5,114, 0,0,3209,3210,5,97,0,0,3210,3211,5,110,0,0,3211,3212,5,100,0,0,3212, 3213,5,111,0,0,3213,3214,5,109,0,0,3214,3215,5,95,0,0,3215,3216, 5,98,0,0,3216,3217,5,101,0,0,3217,3218,5,114,0,0,3218,3219,5,110, 0,0,3219,3220,5,111,0,0,3220,3221,5,117,0,0,3221,3222,5,108,0,0, 3222,3223,5,108,0,0,3223,3225,5,105,0,0,3224,3203,1,0,0,0,3224,3208, 1,0,0,0,3225,510,1,0,0,0,3226,3227,5,114,0,0,3227,3228,5,97,0,0, 3228,3229,5,110,0,0,3229,3230,5,100,0,0,3230,3246,5,112,0,0,3231, 3232,5,114,0,0,3232,3233,5,97,0,0,3233,3234,5,110,0,0,3234,3235, 5,100,0,0,3235,3236,5,111,0,0,3236,3237,5,109,0,0,3237,3238,5,95, 0,0,3238,3239,5,112,0,0,3239,3240,5,111,0,0,3240,3241,5,105,0,0, 3241,3242,5,115,0,0,3242,3243,5,115,0,0,3243,3244,5,111,0,0,3244, 3246,5,110,0,0,3245,3226,1,0,0,0,3245,3231,1,0,0,0,3246,512,1,0, 0,0,3247,3248,5,114,0,0,3248,3249,5,97,0,0,3249,3250,5,110,0,0,3250, 3251,5,100,0,0,3251,3265,5,103,0,0,3252,3253,5,114,0,0,3253,3254, 5,97,0,0,3254,3255,5,110,0,0,3255,3256,5,100,0,0,3256,3257,5,111, 0,0,3257,3258,5,109,0,0,3258,3259,5,95,0,0,3259,3260,5,103,0,0,3260, 3261,5,97,0,0,3261,3262,5,109,0,0,3262,3263,5,109,0,0,3263,3265, 5,97,0,0,3264,3247,1,0,0,0,3264,3252,1,0,0,0,3265,514,1,0,0,0,3266, 3267,5,114,0,0,3267,3268,5,97,0,0,3268,3269,5,110,0,0,3269,3270, 5,100,0,0,3270,3271,5,98,0,0,3271,3272,5,101,0,0,3272,3273,5,116, 0,0,3273,3286,5,97,0,0,3274,3275,5,114,0,0,3275,3276,5,97,0,0,3276, 3277,5,110,0,0,3277,3278,5,100,0,0,3278,3279,5,111,0,0,3279,3280, 5,109,0,0,3280,3281,5,95,0,0,3281,3282,5,98,0,0,3282,3283,5,101, 0,0,3283,3284,5,116,0,0,3284,3286,5,97,0,0,3285,3266,1,0,0,0,3285, 3274,1,0,0,0,3286,516,1,0,0,0,3287,3288,5,114,0,0,3288,3289,5,97, 0,0,3289,3290,5,110,0,0,3290,3291,5,100,0,0,3291,3307,5,108,0,0, 3292,3293,5,114,0,0,3293,3294,5,97,0,0,3294,3295,5,110,0,0,3295, 3296,5,100,0,0,3296,3297,5,111,0,0,3297,3298,5,109,0,0,3298,3299, 5,95,0,0,3299,3300,5,108,0,0,3300,3301,5,97,0,0,3301,3302,5,112, 0,0,3302,3303,5,108,0,0,3303,3304,5,97,0,0,3304,3305,5,99,0,0,3305, 3307,5,101,0,0,3306,3287,1,0,0,0,3306,3292,1,0,0,0,3307,518,1,0, 0,0,3308,3309,5,114,0,0,3309,3310,5,97,0,0,3310,3311,5,110,0,0,3311, 3312,5,100,0,0,3312,3313,5,103,0,0,3313,3314,5,117,0,0,3314,3315, 5,109,0,0,3315,3316,5,98,0,0,3316,3317,5,101,0,0,3317,3332,5,108, 0,0,3318,3319,5,114,0,0,3319,3320,5,97,0,0,3320,3321,5,110,0,0,3321, 3322,5,100,0,0,3322,3323,5,111,0,0,3323,3324,5,109,0,0,3324,3325, 5,95,0,0,3325,3326,5,103,0,0,3326,3327,5,117,0,0,3327,3328,5,109, 0,0,3328,3329,5,98,0,0,3329,3330,5,101,0,0,3330,3332,5,108,0,0,3331, 3308,1,0,0,0,3331,3318,1,0,0,0,3332,520,1,0,0,0,3333,3334,5,114, 0,0,3334,3335,5,97,0,0,3335,3336,5,110,0,0,3336,3337,5,100,0,0,3337, 3353,5,119,0,0,3338,3339,5,114,0,0,3339,3340,5,97,0,0,3340,3341, 5,110,0,0,3341,3342,5,100,0,0,3342,3343,5,111,0,0,3343,3344,5,109, 0,0,3344,3345,5,95,0,0,3345,3346,5,119,0,0,3346,3347,5,101,0,0,3347, 3348,5,105,0,0,3348,3349,5,98,0,0,3349,3350,5,117,0,0,3350,3351, 5,108,0,0,3351,3353,5,108,0,0,3352,3333,1,0,0,0,3352,3338,1,0,0, 0,3353,522,1,0,0,0,3354,3355,5,114,0,0,3355,3356,5,97,0,0,3356,3357, 5,110,0,0,3357,3358,5,100,0,0,3358,3359,5,99,0,0,3359,3360,5,104, 0,0,3360,3361,5,105,0,0,3361,3374,5,50,0,0,3362,3363,5,114,0,0,3363, 3364,5,97,0,0,3364,3365,5,110,0,0,3365,3366,5,100,0,0,3366,3367, 5,111,0,0,3367,3368,5,109,0,0,3368,3369,5,95,0,0,3369,3370,5,99, 0,0,3370,3371,5,104,0,0,3371,3372,5,105,0,0,3372,3374,5,50,0,0,3373, 3354,1,0,0,0,3373,3362,1,0,0,0,3374,524,1,0,0,0,3375,3376,5,114, 0,0,3376,3377,5,97,0,0,3377,3378,5,110,0,0,3378,3379,5,100,0,0,3379, 3396,5,116,0,0,3380,3381,5,114,0,0,3381,3382,5,97,0,0,3382,3383, 5,110,0,0,3383,3384,5,100,0,0,3384,3385,5,111,0,0,3385,3386,5,109, 0,0,3386,3387,5,95,0,0,3387,3388,5,115,0,0,3388,3389,5,116,0,0,3389, 3390,5,117,0,0,3390,3391,5,100,0,0,3391,3392,5,101,0,0,3392,3393, 5,110,0,0,3393,3394,5,116,0,0,3394,3396,5,116,0,0,3395,3375,1,0, 0,0,3395,3380,1,0,0,0,3396,526,1,0,0,0,3397,3398,5,112,0,0,3398, 3399,5,101,0,0,3399,3400,5,114,0,0,3400,3401,5,108,0,0,3401,3402, 5,105,0,0,3402,3416,5,110,0,0,3403,3404,5,112,0,0,3404,3405,5,101, 0,0,3405,3406,5,114,0,0,3406,3407,5,108,0,0,3407,3408,5,105,0,0, 3408,3409,5,110,0,0,3409,3410,5,95,0,0,3410,3411,5,110,0,0,3411, 3412,5,111,0,0,3412,3413,5,105,0,0,3413,3414,5,115,0,0,3414,3416, 5,101,0,0,3415,3397,1,0,0,0,3415,3403,1,0,0,0,3416,528,1,0,0,0,3417, 3418,5,99,0,0,3418,3419,5,101,0,0,3419,3420,5,108,0,0,3420,3421, 5,108,0,0,3421,3422,5,117,0,0,3422,3423,5,108,0,0,3423,3424,5,97, 0,0,3424,3466,5,114,0,0,3425,3426,5,118,0,0,3426,3427,5,111,0,0, 3427,3428,5,114,0,0,3428,3429,5,111,0,0,3429,3430,5,110,0,0,3430, 3431,5,111,0,0,3431,3466,5,105,0,0,3432,3433,5,119,0,0,3433,3434, 5,111,0,0,3434,3435,5,114,0,0,3435,3436,5,108,0,0,3436,3437,5,101, 0,0,3437,3466,5,121,0,0,3438,3439,5,99,0,0,3439,3440,5,101,0,0,3440, 3441,5,108,0,0,3441,3442,5,108,0,0,3442,3443,5,117,0,0,3443,3444, 5,108,0,0,3444,3445,5,97,0,0,3445,3446,5,114,0,0,3446,3447,5,95, 0,0,3447,3448,5,110,0,0,3448,3449,5,111,0,0,3449,3450,5,105,0,0, 3450,3451,5,115,0,0,3451,3466,5,101,0,0,3452,3453,5,118,0,0,3453, 3454,5,111,0,0,3454,3455,5,114,0,0,3455,3456,5,111,0,0,3456,3457, 5,110,0,0,3457,3458,5,111,0,0,3458,3459,5,105,0,0,3459,3460,5,95, 0,0,3460,3461,5,110,0,0,3461,3462,5,111,0,0,3462,3463,5,105,0,0, 3463,3464,5,115,0,0,3464,3466,5,101,0,0,3465,3417,1,0,0,0,3465,3425, 1,0,0,0,3465,3432,1,0,0,0,3465,3438,1,0,0,0,3465,3452,1,0,0,0,3466, 530,1,0,0,0,3467,3468,5,112,0,0,3468,3469,5,108,0,0,3469,3470,5, 97,0,0,3470,3471,5,115,0,0,3471,3472,5,109,0,0,3472,3496,5,97,0, 0,3473,3474,5,116,0,0,3474,3475,5,117,0,0,3475,3476,5,114,0,0,3476, 3477,5,98,0,0,3477,3478,5,117,0,0,3478,3479,5,108,0,0,3479,3480, 5,101,0,0,3480,3481,5,110,0,0,3481,3482,5,99,0,0,3482,3496,5,101, 0,0,3483,3484,5,112,0,0,3484,3485,5,108,0,0,3485,3486,5,97,0,0,3486, 3487,5,115,0,0,3487,3488,5,109,0,0,3488,3489,5,97,0,0,3489,3490, 5,95,0,0,3490,3491,5,110,0,0,3491,3492,5,111,0,0,3492,3493,5,105, 0,0,3493,3494,5,115,0,0,3494,3496,5,101,0,0,3495,3467,1,0,0,0,3495, 3473,1,0,0,0,3495,3483,1,0,0,0,3496,532,1,0,0,0,3497,3498,5,114, 0,0,3498,3499,5,105,0,0,3499,3500,5,100,0,0,3500,3501,5,103,0,0, 3501,3502,5,101,0,0,3502,3516,5,100,0,0,3503,3504,5,114,0,0,3504, 3505,5,105,0,0,3505,3506,5,100,0,0,3506,3507,5,103,0,0,3507,3508, 5,101,0,0,3508,3509,5,100,0,0,3509,3510,5,95,0,0,3510,3511,5,110, 0,0,3511,3512,5,111,0,0,3512,3513,5,105,0,0,3513,3514,5,115,0,0, 3514,3516,5,101,0,0,3515,3497,1,0,0,0,3515,3503,1,0,0,0,3516,534, 1,0,0,0,3517,3518,5,100,0,0,3518,3519,5,111,0,0,3519,3520,5,109, 0,0,3520,3521,5,97,0,0,3521,3522,5,105,0,0,3522,3523,5,110,0,0,3523, 3524,5,95,0,0,3524,3525,5,119,0,0,3525,3526,5,97,0,0,3526,3527,5, 114,0,0,3527,3546,5,112,0,0,3528,3529,5,100,0,0,3529,3530,5,111, 0,0,3530,3531,5,109,0,0,3531,3532,5,97,0,0,3532,3533,5,105,0,0,3533, 3534,5,110,0,0,3534,3535,5,95,0,0,3535,3536,5,119,0,0,3536,3537, 5,97,0,0,3537,3538,5,114,0,0,3538,3539,5,112,0,0,3539,3540,5,95, 0,0,3540,3541,5,110,0,0,3541,3542,5,111,0,0,3542,3543,5,105,0,0, 3543,3544,5,115,0,0,3544,3546,5,101,0,0,3545,3517,1,0,0,0,3545,3528, 1,0,0,0,3546,536,1,0,0,0,3547,3548,5,43,0,0,3548,538,1,0,0,0,3549, 3550,5,45,0,0,3550,540,1,0,0,0,3551,3552,5,42,0,0,3552,542,1,0,0, 0,3553,3554,5,47,0,0,3554,544,1,0,0,0,3555,3556,5,37,0,0,3556,546, 1,0,0,0,3557,3558,5,94,0,0,3558,548,1,0,0,0,3559,3560,5,60,0,0,3560, 3561,5,60,0,0,3561,550,1,0,0,0,3562,3563,5,62,0,0,3563,3564,5,62, 0,0,3564,552,1,0,0,0,3565,3566,5,62,0,0,3566,3567,5,61,0,0,3567, 554,1,0,0,0,3568,3569,5,62,0,0,3569,556,1,0,0,0,3570,3571,5,60,0, 0,3571,3572,5,61,0,0,3572,558,1,0,0,0,3573,3574,5,60,0,0,3574,560, 1,0,0,0,3575,3576,5,61,0,0,3576,3577,5,61,0,0,3577,562,1,0,0,0,3578, 3579,5,61,0,0,3579,564,1,0,0,0,3580,3581,5,43,0,0,3581,3582,5,61, 0,0,3582,566,1,0,0,0,3583,3584,5,45,0,0,3584,3585,5,61,0,0,3585, 568,1,0,0,0,3586,3587,5,42,0,0,3587,3588,5,61,0,0,3588,570,1,0,0, 0,3589,3590,5,47,0,0,3590,3591,5,61,0,0,3591,572,1,0,0,0,3592,3593, 5,37,0,0,3593,3594,5,61,0,0,3594,574,1,0,0,0,3595,3596,5,33,0,0, 3596,3597,5,61,0,0,3597,576,1,0,0,0,3598,3599,5,124,0,0,3599,578, 1,0,0,0,3600,3601,5,40,0,0,3601,580,1,0,0,0,3602,3603,5,41,0,0,3603, 582,1,0,0,0,3604,3605,5,44,0,0,3605,584,1,0,0,0,3606,3607,5,59,0, 0,3607,586,1,0,0,0,3608,3609,5,45,0,0,3609,3610,5,62,0,0,3610,588, 1,0,0,0,3611,3612,5,91,0,0,3612,590,1,0,0,0,3613,3614,5,93,0,0,3614, 592,1,0,0,0,3615,3616,5,63,0,0,3616,594,1,0,0,0,3617,3618,5,58,0, 0,3618,596,1,0,0,0,3619,3620,5,123,0,0,3620,598,1,0,0,0,3621,3622, 5,125,0,0,3622,600,1,0,0,0,3623,3625,7,0,0,0,3624,3623,1,0,0,0,3625, 3626,1,0,0,0,3626,3624,1,0,0,0,3626,3627,1,0,0,0,3627,3635,1,0,0, 0,3628,3632,5,46,0,0,3629,3631,7,0,0,0,3630,3629,1,0,0,0,3631,3634, 1,0,0,0,3632,3630,1,0,0,0,3632,3633,1,0,0,0,3633,3636,1,0,0,0,3634, 3632,1,0,0,0,3635,3628,1,0,0,0,3635,3636,1,0,0,0,3636,3644,1,0,0, 0,3637,3639,5,46,0,0,3638,3640,7,0,0,0,3639,3638,1,0,0,0,3640,3641, 1,0,0,0,3641,3639,1,0,0,0,3641,3642,1,0,0,0,3642,3644,1,0,0,0,3643, 3624,1,0,0,0,3643,3637,1,0,0,0,3644,3654,1,0,0,0,3645,3647,7,1,0, 0,3646,3648,7,2,0,0,3647,3646,1,0,0,0,3647,3648,1,0,0,0,3648,3650, 1,0,0,0,3649,3651,7,0,0,0,3650,3649,1,0,0,0,3651,3652,1,0,0,0,3652, 3650,1,0,0,0,3652,3653,1,0,0,0,3653,3655,1,0,0,0,3654,3645,1,0,0, 0,3654,3655,1,0,0,0,3655,602,1,0,0,0,3656,3657,5,112,0,0,3657,3662, 5,105,0,0,3658,3659,5,80,0,0,3659,3662,5,73,0,0,3660,3662,7,1,0, 0,3661,3656,1,0,0,0,3661,3658,1,0,0,0,3661,3660,1,0,0,0,3662,604, 1,0,0,0,3663,3669,5,34,0,0,3664,3668,8,3,0,0,3665,3666,5,92,0,0, 3666,3668,9,0,0,0,3667,3664,1,0,0,0,3667,3665,1,0,0,0,3668,3671, 1,0,0,0,3669,3667,1,0,0,0,3669,3670,1,0,0,0,3670,3672,1,0,0,0,3671, 3669,1,0,0,0,3672,3684,5,34,0,0,3673,3679,5,39,0,0,3674,3678,8,4, 0,0,3675,3676,5,92,0,0,3676,3678,9,0,0,0,3677,3674,1,0,0,0,3677, 3675,1,0,0,0,3678,3681,1,0,0,0,3679,3677,1,0,0,0,3679,3680,1,0,0, 0,3680,3682,1,0,0,0,3681,3679,1,0,0,0,3682,3684,5,39,0,0,3683,3663, 1,0,0,0,3683,3673,1,0,0,0,3684,606,1,0,0,0,3685,3689,7,5,0,0,3686, 3688,7,6,0,0,3687,3686,1,0,0,0,3688,3691,1,0,0,0,3689,3687,1,0,0, 0,3689,3690,1,0,0,0,3690,608,1,0,0,0,3691,3689,1,0,0,0,3692,3696, 5,35,0,0,3693,3695,8,7,0,0,3694,3693,1,0,0,0,3695,3698,1,0,0,0,3696, 3694,1,0,0,0,3696,3697,1,0,0,0,3697,3699,1,0,0,0,3698,3696,1,0,0, 0,3699,3700,6,304,0,0,3700,610,1,0,0,0,3701,3702,5,47,0,0,3702,3703, 5,42,0,0,3703,3707,1,0,0,0,3704,3706,9,0,0,0,3705,3704,1,0,0,0,3706, 3709,1,0,0,0,3707,3708,1,0,0,0,3707,3705,1,0,0,0,3708,3710,1,0,0, 0,3709,3707,1,0,0,0,3710,3711,5,42,0,0,3711,3712,5,47,0,0,3712,3713, 1,0,0,0,3713,3714,6,305,0,0,3714,612,1,0,0,0,3715,3717,7,8,0,0,3716, 3715,1,0,0,0,3717,3718,1,0,0,0,3718,3716,1,0,0,0,3718,3719,1,0,0, 0,3719,3720,1,0,0,0,3720,3721,6,306,0,0,3721,614,1,0,0,0,85,0,1002, 1017,1188,1205,1229,1242,1255,1354,1371,1463,1512,1534,1551,1572, 1587,1614,1645,1661,1691,1718,1745,1775,1801,1831,1865,1936,1986, 2006,2027,2098,2122,2145,2162,2177,2285,2360,2429,2702,2740,2773, 2794,2851,2970,3001,3020,3072,3088,3106,3131,3151,3176,3201,3224, 3245,3264,3285,3306,3331,3352,3373,3395,3415,3465,3495,3515,3545, 3626,3632,3635,3641,3643,3647,3652,3654,3661,3667,3669,3677,3679, 3683,3689,3696,3707,3718,1,6,0,0 ] 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 LOG2 = 18 EXP = 19 LOG1P = 20 EXPM1 = 21 SINC = 22 CBRT = 23 RECIPROCAL = 24 LOGADDEXP = 25 LOGSUMEXP = 26 NORM = 27 NORMALIZE = 28 GROUP_NORM = 29 OUTER = 30 TRACE = 31 DET = 32 RFFT = 33 IRFFT = 34 ISNAN = 35 ISINF = 36 ISFINITE = 37 SMIN = 38 SMAX = 39 TMIN = 40 TMAX = 41 TNORM = 42 SNORM = 43 FLOOR = 44 CEIL = 45 ROUND = 46 GAMMA = 47 POWE = 48 SIGM = 49 SIGM_KARRAS = 50 SIGM_EXPONENTIAL = 51 SIGM_POLYEXPONENTIAL = 52 SIGM_LAPLACE = 53 CLAMP = 54 SFFT = 55 SIFFT = 56 ANGL = 57 PRNT = 58 PRINT_SHAPE = 59 NVL = 60 LERP = 61 INTERP = 62 SLERP = 63 STEP = 64 SMOOTHSTEP = 65 FRACT = 66 RELU = 67 SOFTSIGN = 68 LEAKY_RELU = 69 SOFTPLUS = 70 GELU = 71 SILU = 72 SIGN = 73 DEGREES = 74 RADIANS = 75 LOGICAL_NOT = 76 LOGICAL_AND = 77 LOGICAL_OR = 78 HYPOT = 79 MAP = 80 EZCONV = 81 CONV = 82 SWAP = 83 TRANSPOSE = 84 PERM = 85 RESHAPE = 86 RANGE = 87 LINSPACE = 88 LOGSPACE = 89 TOPK = 90 BOTK = 91 PINV = 92 INV = 93 SUM = 94 MEAN = 95 STD = 96 VAR = 97 PROD = 98 ISCLOSE = 99 ALLCLOSE = 100 QUARTILE = 101 PERCENTILE = 102 QUANTILE = 103 DOT = 104 MOMENT = 105 ERF = 106 ERFC = 107 ERFINV = 108 ANY = 109 ALL = 110 EDGE = 111 DISTANCE_TRANSFORM = 112 GRAYSCALE = 113 GAUSSIAN = 114 MEDIAN = 115 MODE = 116 CUMSUM = 117 CUMPROD = 118 TOPK_IND = 119 BOTK_IND = 120 CUBIC_EASE = 121 ELASTIC_EASE = 122 SINE_EASE = 123 SMOOTHERSTEP = 124 DIST = 125 REMAP = 126 COSSIM = 127 COUNT = 128 KEYS = 129 ENABLE_TRACKING = 130 DISABLE_TRACKING = 131 RESET_TRACKING = 132 GET_CHANGED_KEYS = 133 GET_ADDED_KEYS = 134 GET_REMOVED_KEYS = 135 GET_UNCHANGED_KEYS = 136 REPEAT = 137 FLATTEN = 138 APPEND = 139 GET_VALUE = 140 FLOW_APPLY = 141 BATCH_SHUFFLE = 142 MOTION_MASK = 143 FLOW_TO_IMAGE = 144 FLOW_MAG = 145 FLOW_ANG = 146 WHERE = 147 HISTOGRAM = 148 OVERLAY = 149 BLEND = 150 PAD = 151 CROSS = 152 MATMUL = 153 SOLVE = 154 MATRIX_RANK = 155 RIFE = 156 BNOT = 157 BITCOUNT = 158 SHAPE = 159 BAND = 160 XOR = 161 BOR = 162 TENSOR = 163 ZEROS = 164 ONES = 165 EYE = 166 ONE_HOT = 167 MSE = 168 MAE = 169 PSNR = 170 WEIGHTED_MEAN = 171 HUBER_LOSS = 172 CROSS_ENTROPY = 173 ADD_KEY = 174 REMOVE_KEY = 175 PUSH = 176 POP = 177 CLEAR = 178 HAS = 179 GET = 180 CONCAT = 181 STACK = 182 NONZERO = 183 INT = 184 FLOAT = 185 UPPER = 186 LOWER = 187 TRIM = 188 SPLIT = 189 JOIN = 190 SUBSTRING = 191 FIND = 192 REPLACE = 193 REGEX_SEARCH = 194 REGEX_REPLACE = 195 FORMAT = 196 DILATE = 197 ERODE = 198 MORPH_OPEN = 199 MORPH_CLOSE = 200 RGB_TO_OKLAB = 201 LUMINANCE = 202 RGB_TO_CIELAB = 203 OKLAB_TO_RGB = 204 CIELAB_TO_RGB = 205 RGB_TO_HSV = 206 HSV_TO_RGB = 207 INT_TO_RGB = 208 RGB_TO_INT = 209 INTERPOLATE_LINEAR = 210 INTERPOLATE_AREA = 211 INTERPOLATE_NEAREST = 212 TEXT_IMAGE = 213 AS_NESTED = 214 SVD = 215 DIAG = 216 IF = 217 ELSE = 218 WHILE = 219 FOR = 220 IN = 221 BREAK = 222 CONTINUE = 223 RETURN = 224 TIMESTAMP = 225 SORT = 226 ARGSORT = 227 ARGMIN = 228 ARGMAX = 229 SOFTMAX = 230 SOFTMIN = 231 UNIQUE = 232 FLIP = 233 STARTSWITH = 234 ENDSWITH = 235 SQUEEZE = 236 UNSQUEEZE = 237 ROLL = 238 COV = 239 CORR = 240 ENTROPY = 241 CROP = 242 NONE = 243 COORDS = 244 GATHER = 245 SCATTER = 246 SCATTER_ADD = 247 NOISE = 248 PINK_NOISE = 249 BROWN_NOISE = 250 RAND = 251 CAUCHY = 252 EXPONENTIAL = 253 LOGNORMAL = 254 BERNOULLI = 255 POISSON = 256 GAMMADIST = 257 BETADIST = 258 LAPLACEDIST = 259 GUMBELDIST = 260 WEIBULLDIST = 261 CHI2DIST = 262 STUDENTTDIST = 263 PERLIN = 264 CELLULAR = 265 PLASMA = 266 RIDGED = 267 DOMAIN_WARP = 268 PLUS = 269 MINUS = 270 MULT = 271 DIV = 272 MOD = 273 POW = 274 LSHIFT = 275 RSHIFT = 276 GE = 277 GT = 278 LE = 279 LT = 280 EQ = 281 EQUEALS = 282 PLUS_EQ = 283 MINUS_EQ = 284 MULT_EQ = 285 DIV_EQ = 286 MOD_EQ = 287 NE = 288 PIPE = 289 LPAREN = 290 RPAREN = 291 COMMA = 292 SEMICOLON = 293 ARROW = 294 LBRACKET = 295 RBRACKET = 296 QUESTION = 297 COLON = 298 LBRACE = 299 RBRACE = 300 NUMBER = 301 CONSTANT = 302 STRING = 303 VARIABLE = 304 SL_COMMENT = 305 ML_COMMENT = 306 WS = 307 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'", "'log2'", "'exp'", "'log1p'", "'expm1'", "'sinc'", "'cbrt'", "'reciprocal'", "'logaddexp'", "'logsumexp'", "'norm'", "'normalize'", "'group_norm'", "'outer'", "'trace'", "'det'", "'rfft'", "'irfft'", "'isnan'", "'isinf'", "'isfinite'", "'smin'", "'smax'", "'tmin'", "'tmax'", "'tnorm'", "'snorm'", "'floor'", "'ceil'", "'round'", "'gamma'", "'pow'", "'sigm'", "'sigm_karras'", "'sigm_exponential'", "'sigm_polyexponential'", "'sigm_laplace'", "'clamp'", "'fft'", "'ifft'", "'angle'", "'print'", "'lerp'", "'interp'", "'slerp'", "'step'", "'smoothstep'", "'fract'", "'relu'", "'softsign'", "'leaky_relu'", "'softplus'", "'gelu'", "'silu'", "'sign'", "'degrees'", "'radians'", "'logical_not'", "'logical_and'", "'logical_or'", "'hypot'", "'map'", "'swap'", "'range'", "'linspace'", "'logspace'", "'topk'", "'botk'", "'pinv'", "'inv'", "'sum'", "'mean'", "'std'", "'var'", "'prod'", "'isclose'", "'allclose'", "'quantile'", "'dot'", "'moment'", "'erf'", "'erfc'", "'erfinv'", "'any'", "'all'", "'edge'", "'distance_transform'", "'grayscale'", "'median'", "'mode'", "'cumsum'", "'cumprod'", "'smootherstep'", "'remap'", "'keys'", "'repeat'", "'flatten'", "'append'", "'get_value'", "'flow_apply'", "'motion_mask'", "'flow_to_image'", "'where'", "'overlay'", "'blend'", "'pad'", "'cross'", "'matmul'", "'solve'", "'matrix_rank'", "'rife'", "'shape'", "'tensor'", "'zeros'", "'ones'", "'eye'", "'one_hot'", "'mse'", "'mae'", "'psnr'", "'weighted_mean'", "'huber_loss'", "'cross_entropy'", "'add_key'", "'stack_push'", "'stack_pop'", "'stack_clear'", "'stack_has'", "'stack_get'", "'stack'", "'nonzero'", "'int'", "'float'", "'upper'", "'lower'", "'trim'", "'split'", "'join'", "'find'", "'replace'", "'regex_search'", "'regex_replace'", "'format'", "'dilate'", "'erode'", "'morph_open'", "'morph_close'", "'rgb_to_oklab'", "'luminance'", "'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'", "'gather'", "'scatter'", "'scatter_add'", "'+'", "'-'", "'*'", "'/'", "'%'", "'^'", "'<<'", "'>>'", "'>='", "'>'", "'<='", "'<'", "'=='", "'='", "'+='", "'-='", "'*='", "'/='", "'%='", "'!='", "'|'", "'('", "')'", "','", "';'", "'->'", "'['", "']'", "'?'", "':'", "'{'", "'}'" ] symbolicNames = [ "", "SIN", "COS", "TAN", "ASIN", "ACOS", "ATAN", "ATAN2", "SINH", "COSH", "TANH", "ASINH", "ACOSH", "ATANH", "ABS", "SQRT", "LN", "LOG", "LOG2", "EXP", "LOG1P", "EXPM1", "SINC", "CBRT", "RECIPROCAL", "LOGADDEXP", "LOGSUMEXP", "NORM", "NORMALIZE", "GROUP_NORM", "OUTER", "TRACE", "DET", "RFFT", "IRFFT", "ISNAN", "ISINF", "ISFINITE", "SMIN", "SMAX", "TMIN", "TMAX", "TNORM", "SNORM", "FLOOR", "CEIL", "ROUND", "GAMMA", "POWE", "SIGM", "SIGM_KARRAS", "SIGM_EXPONENTIAL", "SIGM_POLYEXPONENTIAL", "SIGM_LAPLACE", "CLAMP", "SFFT", "SIFFT", "ANGL", "PRNT", "PRINT_SHAPE", "NVL", "LERP", "INTERP", "SLERP", "STEP", "SMOOTHSTEP", "FRACT", "RELU", "SOFTSIGN", "LEAKY_RELU", "SOFTPLUS", "GELU", "SILU", "SIGN", "DEGREES", "RADIANS", "LOGICAL_NOT", "LOGICAL_AND", "LOGICAL_OR", "HYPOT", "MAP", "EZCONV", "CONV", "SWAP", "TRANSPOSE", "PERM", "RESHAPE", "RANGE", "LINSPACE", "LOGSPACE", "TOPK", "BOTK", "PINV", "INV", "SUM", "MEAN", "STD", "VAR", "PROD", "ISCLOSE", "ALLCLOSE", "QUARTILE", "PERCENTILE", "QUANTILE", "DOT", "MOMENT", "ERF", "ERFC", "ERFINV", "ANY", "ALL", "EDGE", "DISTANCE_TRANSFORM", "GRAYSCALE", "GAUSSIAN", "MEDIAN", "MODE", "CUMSUM", "CUMPROD", "TOPK_IND", "BOTK_IND", "CUBIC_EASE", "ELASTIC_EASE", "SINE_EASE", "SMOOTHERSTEP", "DIST", "REMAP", "COSSIM", "COUNT", "KEYS", "ENABLE_TRACKING", "DISABLE_TRACKING", "RESET_TRACKING", "GET_CHANGED_KEYS", "GET_ADDED_KEYS", "GET_REMOVED_KEYS", "GET_UNCHANGED_KEYS", "REPEAT", "FLATTEN", "APPEND", "GET_VALUE", "FLOW_APPLY", "BATCH_SHUFFLE", "MOTION_MASK", "FLOW_TO_IMAGE", "FLOW_MAG", "FLOW_ANG", "WHERE", "HISTOGRAM", "OVERLAY", "BLEND", "PAD", "CROSS", "MATMUL", "SOLVE", "MATRIX_RANK", "RIFE", "BNOT", "BITCOUNT", "SHAPE", "BAND", "XOR", "BOR", "TENSOR", "ZEROS", "ONES", "EYE", "ONE_HOT", "MSE", "MAE", "PSNR", "WEIGHTED_MEAN", "HUBER_LOSS", "CROSS_ENTROPY", "ADD_KEY", "REMOVE_KEY", "PUSH", "POP", "CLEAR", "HAS", "GET", "CONCAT", "STACK", "NONZERO", "INT", "FLOAT", "UPPER", "LOWER", "TRIM", "SPLIT", "JOIN", "SUBSTRING", "FIND", "REPLACE", "REGEX_SEARCH", "REGEX_REPLACE", "FORMAT", "DILATE", "ERODE", "MORPH_OPEN", "MORPH_CLOSE", "RGB_TO_OKLAB", "LUMINANCE", "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", "GATHER", "SCATTER", "SCATTER_ADD", "NOISE", "PINK_NOISE", "BROWN_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", "LOG2", "EXP", "LOG1P", "EXPM1", "SINC", "CBRT", "RECIPROCAL", "LOGADDEXP", "LOGSUMEXP", "NORM", "NORMALIZE", "GROUP_NORM", "OUTER", "TRACE", "DET", "RFFT", "IRFFT", "ISNAN", "ISINF", "ISFINITE", "SMIN", "SMAX", "TMIN", "TMAX", "TNORM", "SNORM", "FLOOR", "CEIL", "ROUND", "GAMMA", "POWE", "SIGM", "SIGM_KARRAS", "SIGM_EXPONENTIAL", "SIGM_POLYEXPONENTIAL", "SIGM_LAPLACE", "CLAMP", "SFFT", "SIFFT", "ANGL", "PRNT", "PRINT_SHAPE", "NVL", "LERP", "INTERP", "SLERP", "STEP", "SMOOTHSTEP", "FRACT", "RELU", "SOFTSIGN", "LEAKY_RELU", "SOFTPLUS", "GELU", "SILU", "SIGN", "DEGREES", "RADIANS", "LOGICAL_NOT", "LOGICAL_AND", "LOGICAL_OR", "HYPOT", "MAP", "EZCONV", "CONV", "SWAP", "TRANSPOSE", "PERM", "RESHAPE", "RANGE", "LINSPACE", "LOGSPACE", "TOPK", "BOTK", "PINV", "INV", "SUM", "MEAN", "STD", "VAR", "PROD", "ISCLOSE", "ALLCLOSE", "QUARTILE", "PERCENTILE", "QUANTILE", "DOT", "MOMENT", "ERF", "ERFC", "ERFINV", "ANY", "ALL", "EDGE", "DISTANCE_TRANSFORM", "GRAYSCALE", "GAUSSIAN", "MEDIAN", "MODE", "CUMSUM", "CUMPROD", "TOPK_IND", "BOTK_IND", "CUBIC_EASE", "ELASTIC_EASE", "SINE_EASE", "SMOOTHERSTEP", "DIST", "REMAP", "COSSIM", "COUNT", "KEYS", "ENABLE_TRACKING", "DISABLE_TRACKING", "RESET_TRACKING", "GET_CHANGED_KEYS", "GET_ADDED_KEYS", "GET_REMOVED_KEYS", "GET_UNCHANGED_KEYS", "REPEAT", "FLATTEN", "APPEND", "GET_VALUE", "FLOW_APPLY", "BATCH_SHUFFLE", "MOTION_MASK", "FLOW_TO_IMAGE", "FLOW_MAG", "FLOW_ANG", "WHERE", "HISTOGRAM", "OVERLAY", "BLEND", "PAD", "CROSS", "MATMUL", "SOLVE", "MATRIX_RANK", "RIFE", "BNOT", "BITCOUNT", "SHAPE", "BAND", "XOR", "BOR", "TENSOR", "ZEROS", "ONES", "EYE", "ONE_HOT", "MSE", "MAE", "PSNR", "WEIGHTED_MEAN", "HUBER_LOSS", "CROSS_ENTROPY", "ADD_KEY", "REMOVE_KEY", "PUSH", "POP", "CLEAR", "HAS", "GET", "CONCAT", "STACK", "NONZERO", "INT", "FLOAT", "UPPER", "LOWER", "TRIM", "SPLIT", "JOIN", "SUBSTRING", "FIND", "REPLACE", "REGEX_SEARCH", "REGEX_REPLACE", "FORMAT", "DILATE", "ERODE", "MORPH_OPEN", "MORPH_CLOSE", "RGB_TO_OKLAB", "LUMINANCE", "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", "GATHER", "SCATTER", "SCATTER_ADD", "NOISE", "PINK_NOISE", "BROWN_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