# 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 [ 4,0,312,3812,6,-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, 2,307,7,307,2,308,7,308,2,309,7,309,2,310,7,310,2,311,7,311,1,0, 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, 3,58,1013,8,58,1,59,1,59,1,59,1,59,1,59,1,59,1,59,1,59,1,59,1,59, 1,59,1,59,1,59,3,59,1028,8,59,1,60,1,60,1,60,1,60,1,60,1,61,1,61, 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, 1,80,1,80,1,80,1,80,1,80,1,80,3,80,1199,8,80,1,81,1,81,1,81,1,81, 1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,3,81,1216, 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, 1,83,1,83,1,83,1,83,1,83,1,83,1,83,1,83,1,83,1,83,3,83,1240,8,83, 1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,3,84,1253, 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, 1266,8,85,1,86,1,86,1,86,1,86,1,86,1,86,1,87,1,87,1,87,1,87,1,87, 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, 1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,3,100,1365, 8,100,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101, 1,101,1,101,1,101,1,101,1,101,3,101,1382,8,101,1,102,1,102,1,102, 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, 1474,8,113,1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,115,1,115, 1,115,1,115,1,115,1,116,1,116,1,116,1,116,1,116,1,116,1,116,1,117, 1,117,1,117,1,117,1,117,1,117,1,117,1,118,1,118,1,118,1,118,1,118, 1,118,1,118,1,119,1,119,1,119,1,119,1,119,1,119,1,119,1,119,1,120, 1,120,1,120,1,120,1,120,1,120,1,120,1,120,1,120,1,120,1,120,1,120, 1,120,1,120,1,120,1,120,1,120,1,120,1,120,1,120,3,120,1537,8,120, 1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121, 1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121,3,121,1559, 8,121,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122, 1,122,1,122,1,122,1,122,1,122,3,122,1576,8,122,1,123,1,123,1,123, 1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,123, 1,123,1,123,1,123,1,123,1,123,3,123,1597,8,123,1,124,1,124,1,124, 1,124,1,124,1,124,1,124,1,124,1,124,1,124,1,124,1,124,1,124,3,124, 1612,8,124,1,125,1,125,1,125,1,125,1,125,1,125,1,125,1,125,1,125, 1,125,1,125,1,125,1,125,1,126,1,126,1,126,1,126,1,126,1,126,1,126, 1,126,1,126,1,126,1,126,1,126,3,126,1639,8,126,1,127,1,127,1,127, 1,127,1,127,1,127,1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,128, 1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,128, 1,128,1,128,1,128,1,128,3,128,1670,8,128,1,129,1,129,1,129,1,129, 1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,3,129, 1686,8,129,1,130,1,130,1,130,1,130,1,130,1,131,1,131,1,131,1,131, 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1,249,1,249,1,249,1,249,1,249,1,249,1,250,1,250,1,250,1,250,1,250, 1,250,1,250,1,250,1,250,1,250,1,250,1,250,1,251,1,251,1,251,1,251, 1,251,1,251,1,251,1,251,1,251,1,251,1,251,1,251,1,251,1,251,1,251, 1,251,1,251,1,251,1,251,1,251,1,251,1,251,1,251,3,251,3139,8,251, 1,252,1,252,1,252,1,252,1,252,1,252,1,252,1,252,1,252,1,252,1,252, 1,252,1,252,1,252,3,252,3155,8,252,1,253,1,253,1,253,1,253,1,253, 1,253,1,253,1,253,1,253,1,253,1,253,1,253,1,253,1,253,1,253,1,253, 3,253,3173,8,253,1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254, 1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254, 1,254,1,254,1,254,1,254,3,254,3198,8,254,1,255,1,255,1,255,1,255, 1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255, 1,255,1,255,1,255,3,255,3218,8,255,1,256,1,256,1,256,1,256,1,256, 1,256,1,256,1,256,1,256,1,256,1,256,1,256,1,256,1,256,1,256,1,256, 1,256,1,256,1,256,1,256,1,256,1,256,1,256,3,256,3243,8,256,1,257, 1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257, 1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257, 3,257,3268,8,257,1,258,1,258,1,258,1,258,1,258,1,258,1,258,1,258, 1,258,1,258,1,258,1,258,1,258,1,258,1,258,1,258,1,258,1,258,1,258, 1,258,1,258,3,258,3291,8,258,1,259,1,259,1,259,1,259,1,259,1,259, 1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259, 1,259,1,259,1,259,1,259,1,259,3,259,3315,8,259,1,260,1,260,1,260, 1,260,1,260,1,260,1,260,1,260,1,260,1,260,1,260,1,260,1,260,1,260, 1,260,1,260,1,260,1,260,1,260,3,260,3336,8,260,1,261,1,261,1,261, 1,261,1,261,1,261,1,261,1,261,1,261,1,261,1,261,1,261,1,261,1,261, 1,261,1,261,1,261,3,261,3355,8,261,1,262,1,262,1,262,1,262,1,262, 1,262,1,262,1,262,1,262,1,262,1,262,1,262,1,262,1,262,1,262,1,262, 1,262,1,262,1,262,3,262,3376,8,262,1,263,1,263,1,263,1,263,1,263, 1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263, 1,263,1,263,1,263,3,263,3397,8,263,1,264,1,264,1,264,1,264,1,264, 1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264, 1,264,1,264,1,264,1,264,1,264,1,264,1,264,3,264,3422,8,264,1,265, 1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265, 1,265,1,265,1,265,1,265,1,265,1,265,1,265,3,265,3443,8,265,1,266, 1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266, 1,266,1,266,1,266,1,266,1,266,1,266,1,266,3,266,3464,8,266,1,267, 1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267, 1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,3,267,3486,8,267, 1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268, 1,268,1,268,1,268,1,268,1,268,1,268,1,268,3,268,3506,8,268,1,269, 1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269, 1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269, 1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269, 1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269, 1,269,1,269,1,269,3,269,3556,8,269,1,270,1,270,1,270,1,270,1,270, 1,270,1,270,1,270,1,270,1,270,1,270,1,270,1,270,1,270,1,270,1,270, 1,270,1,270,1,270,1,270,1,270,1,270,1,270,1,270,1,270,1,270,1,270, 1,270,3,270,3586,8,270,1,271,1,271,1,271,1,271,1,271,1,271,1,271, 1,271,1,271,1,271,1,271,1,271,1,271,1,271,1,271,1,271,1,271,1,271, 3,271,3606,8,271,1,272,1,272,1,272,1,272,1,272,1,272,1,272,1,272, 1,272,1,272,1,272,1,272,1,272,1,272,1,272,1,272,1,272,1,272,1,272, 1,272,1,272,1,272,1,272,1,272,1,272,1,272,1,272,1,272,3,272,3636, 8,272,1,273,1,273,1,274,1,274,1,275,1,275,1,276,1,276,1,277,1,277, 1,278,1,278,1,279,1,279,1,279,1,280,1,280,1,280,1,281,1,281,1,281, 1,282,1,282,1,283,1,283,1,283,1,284,1,284,1,285,1,285,1,285,1,286, 1,286,1,287,1,287,1,287,1,288,1,288,1,288,1,289,1,289,1,289,1,290, 1,290,1,290,1,291,1,291,1,291,1,292,1,292,1,292,1,293,1,293,1,294, 1,294,1,295,1,295,1,296,1,296,1,297,1,297,1,298,1,298,1,298,1,299, 1,299,1,300,1,300,1,301,1,301,1,302,1,302,1,303,1,303,1,304,1,304, 1,305,4,305,3715,8,305,11,305,12,305,3716,1,305,1,305,5,305,3721, 8,305,10,305,12,305,3724,9,305,3,305,3726,8,305,1,305,1,305,4,305, 3730,8,305,11,305,12,305,3731,3,305,3734,8,305,1,305,1,305,3,305, 3738,8,305,1,305,4,305,3741,8,305,11,305,12,305,3742,3,305,3745, 8,305,1,306,1,306,1,306,1,306,1,306,3,306,3752,8,306,1,307,1,307, 1,307,1,307,5,307,3758,8,307,10,307,12,307,3761,9,307,1,307,1,307, 1,307,1,307,1,307,5,307,3768,8,307,10,307,12,307,3771,9,307,1,307, 3,307,3774,8,307,1,308,1,308,5,308,3778,8,308,10,308,12,308,3781, 9,308,1,309,1,309,5,309,3785,8,309,10,309,12,309,3788,9,309,1,309, 1,309,1,310,1,310,1,310,1,310,5,310,3796,8,310,10,310,12,310,3799, 9,310,1,310,1,310,1,310,1,310,1,310,1,311,4,311,3807,8,311,11,311, 12,311,3808,1,311,1,311,1,3797,0,312,1,1,3,2,5,3,7,4,9,5,11,6,13, 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, 307,615,308,617,309,619,310,621,311,623,312,1,0,9,1,0,48,57,2,0, 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, 97,122,2,0,10,10,13,13,3,0,9,10,13,13,32,32,3911,0,1,1,0,0,0,0,3, 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, 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1,0,0,0,605,3707,1,0,0,0,607,3709,1,0,0,0,609,3711,1,0,0,0,611,3733, 1,0,0,0,613,3751,1,0,0,0,615,3773,1,0,0,0,617,3775,1,0,0,0,619,3782, 1,0,0,0,621,3791,1,0,0,0,623,3806,1,0,0,0,625,626,5,115,0,0,626, 627,5,105,0,0,627,628,5,110,0,0,628,2,1,0,0,0,629,630,5,99,0,0,630, 631,5,111,0,0,631,632,5,115,0,0,632,4,1,0,0,0,633,634,5,116,0,0, 634,635,5,97,0,0,635,636,5,110,0,0,636,6,1,0,0,0,637,638,5,97,0, 0,638,639,5,115,0,0,639,640,5,105,0,0,640,641,5,110,0,0,641,8,1, 0,0,0,642,643,5,97,0,0,643,644,5,99,0,0,644,645,5,111,0,0,645,646, 5,115,0,0,646,10,1,0,0,0,647,648,5,97,0,0,648,649,5,116,0,0,649, 650,5,97,0,0,650,651,5,110,0,0,651,12,1,0,0,0,652,653,5,97,0,0,653, 654,5,116,0,0,654,655,5,97,0,0,655,656,5,110,0,0,656,657,5,50,0, 0,657,14,1,0,0,0,658,659,5,115,0,0,659,660,5,105,0,0,660,661,5,110, 0,0,661,662,5,104,0,0,662,16,1,0,0,0,663,664,5,99,0,0,664,665,5, 111,0,0,665,666,5,115,0,0,666,667,5,104,0,0,667,18,1,0,0,0,668,669, 5,116,0,0,669,670,5,97,0,0,670,671,5,110,0,0,671,672,5,104,0,0,672, 20,1,0,0,0,673,674,5,97,0,0,674,675,5,115,0,0,675,676,5,105,0,0, 676,677,5,110,0,0,677,678,5,104,0,0,678,22,1,0,0,0,679,680,5,97, 0,0,680,681,5,99,0,0,681,682,5,111,0,0,682,683,5,115,0,0,683,684, 5,104,0,0,684,24,1,0,0,0,685,686,5,97,0,0,686,687,5,116,0,0,687, 688,5,97,0,0,688,689,5,110,0,0,689,690,5,104,0,0,690,26,1,0,0,0, 691,692,5,97,0,0,692,693,5,98,0,0,693,694,5,115,0,0,694,28,1,0,0, 0,695,696,5,115,0,0,696,697,5,113,0,0,697,698,5,114,0,0,698,699, 5,116,0,0,699,30,1,0,0,0,700,701,5,108,0,0,701,702,5,110,0,0,702, 32,1,0,0,0,703,704,5,108,0,0,704,705,5,111,0,0,705,706,5,103,0,0, 706,34,1,0,0,0,707,708,5,108,0,0,708,709,5,111,0,0,709,710,5,103, 0,0,710,711,5,50,0,0,711,36,1,0,0,0,712,713,5,101,0,0,713,714,5, 120,0,0,714,715,5,112,0,0,715,38,1,0,0,0,716,717,5,108,0,0,717,718, 5,111,0,0,718,719,5,103,0,0,719,720,5,49,0,0,720,721,5,112,0,0,721, 40,1,0,0,0,722,723,5,101,0,0,723,724,5,120,0,0,724,725,5,112,0,0, 725,726,5,109,0,0,726,727,5,49,0,0,727,42,1,0,0,0,728,729,5,115, 0,0,729,730,5,105,0,0,730,731,5,110,0,0,731,732,5,99,0,0,732,44, 1,0,0,0,733,734,5,99,0,0,734,735,5,98,0,0,735,736,5,114,0,0,736, 737,5,116,0,0,737,46,1,0,0,0,738,739,5,114,0,0,739,740,5,101,0,0, 740,741,5,99,0,0,741,742,5,105,0,0,742,743,5,112,0,0,743,744,5,114, 0,0,744,745,5,111,0,0,745,746,5,99,0,0,746,747,5,97,0,0,747,748, 5,108,0,0,748,48,1,0,0,0,749,750,5,108,0,0,750,751,5,111,0,0,751, 752,5,103,0,0,752,753,5,97,0,0,753,754,5,100,0,0,754,755,5,100,0, 0,755,756,5,101,0,0,756,757,5,120,0,0,757,758,5,112,0,0,758,50,1, 0,0,0,759,760,5,108,0,0,760,761,5,111,0,0,761,762,5,103,0,0,762, 763,5,115,0,0,763,764,5,117,0,0,764,765,5,109,0,0,765,766,5,101, 0,0,766,767,5,120,0,0,767,768,5,112,0,0,768,52,1,0,0,0,769,770,5, 110,0,0,770,771,5,111,0,0,771,772,5,114,0,0,772,773,5,109,0,0,773, 54,1,0,0,0,774,775,5,110,0,0,775,776,5,111,0,0,776,777,5,114,0,0, 777,778,5,109,0,0,778,779,5,97,0,0,779,780,5,108,0,0,780,781,5,105, 0,0,781,782,5,122,0,0,782,783,5,101,0,0,783,56,1,0,0,0,784,785,5, 103,0,0,785,786,5,114,0,0,786,787,5,111,0,0,787,788,5,117,0,0,788, 789,5,112,0,0,789,790,5,95,0,0,790,791,5,110,0,0,791,792,5,111,0, 0,792,793,5,114,0,0,793,794,5,109,0,0,794,58,1,0,0,0,795,796,5,111, 0,0,796,797,5,117,0,0,797,798,5,116,0,0,798,799,5,101,0,0,799,800, 5,114,0,0,800,60,1,0,0,0,801,802,5,116,0,0,802,803,5,114,0,0,803, 804,5,97,0,0,804,805,5,99,0,0,805,806,5,101,0,0,806,62,1,0,0,0,807, 808,5,100,0,0,808,809,5,101,0,0,809,810,5,116,0,0,810,64,1,0,0,0, 811,812,5,114,0,0,812,813,5,102,0,0,813,814,5,102,0,0,814,815,5, 116,0,0,815,66,1,0,0,0,816,817,5,105,0,0,817,818,5,114,0,0,818,819, 5,102,0,0,819,820,5,102,0,0,820,821,5,116,0,0,821,68,1,0,0,0,822, 823,5,105,0,0,823,824,5,115,0,0,824,825,5,110,0,0,825,826,5,97,0, 0,826,827,5,110,0,0,827,70,1,0,0,0,828,829,5,105,0,0,829,830,5,115, 0,0,830,831,5,105,0,0,831,832,5,110,0,0,832,833,5,102,0,0,833,72, 1,0,0,0,834,835,5,105,0,0,835,836,5,115,0,0,836,837,5,102,0,0,837, 838,5,105,0,0,838,839,5,110,0,0,839,840,5,105,0,0,840,841,5,116, 0,0,841,842,5,101,0,0,842,74,1,0,0,0,843,844,5,115,0,0,844,845,5, 109,0,0,845,846,5,105,0,0,846,847,5,110,0,0,847,76,1,0,0,0,848,849, 5,115,0,0,849,850,5,109,0,0,850,851,5,97,0,0,851,852,5,120,0,0,852, 78,1,0,0,0,853,854,5,116,0,0,854,855,5,109,0,0,855,856,5,105,0,0, 856,857,5,110,0,0,857,80,1,0,0,0,858,859,5,116,0,0,859,860,5,109, 0,0,860,861,5,97,0,0,861,862,5,120,0,0,862,82,1,0,0,0,863,864,5, 116,0,0,864,865,5,110,0,0,865,866,5,111,0,0,866,867,5,114,0,0,867, 868,5,109,0,0,868,84,1,0,0,0,869,870,5,115,0,0,870,871,5,110,0,0, 871,872,5,111,0,0,872,873,5,114,0,0,873,874,5,109,0,0,874,86,1,0, 0,0,875,876,5,102,0,0,876,877,5,108,0,0,877,878,5,111,0,0,878,879, 5,111,0,0,879,880,5,114,0,0,880,88,1,0,0,0,881,882,5,99,0,0,882, 883,5,101,0,0,883,884,5,105,0,0,884,885,5,108,0,0,885,90,1,0,0,0, 886,887,5,114,0,0,887,888,5,111,0,0,888,889,5,117,0,0,889,890,5, 110,0,0,890,891,5,100,0,0,891,92,1,0,0,0,892,893,5,103,0,0,893,894, 5,97,0,0,894,895,5,109,0,0,895,896,5,109,0,0,896,897,5,97,0,0,897, 94,1,0,0,0,898,899,5,112,0,0,899,900,5,111,0,0,900,901,5,119,0,0, 901,96,1,0,0,0,902,903,5,115,0,0,903,904,5,105,0,0,904,905,5,103, 0,0,905,906,5,109,0,0,906,98,1,0,0,0,907,908,5,115,0,0,908,909,5, 105,0,0,909,910,5,103,0,0,910,911,5,109,0,0,911,912,5,95,0,0,912, 913,5,107,0,0,913,914,5,97,0,0,914,915,5,114,0,0,915,916,5,114,0, 0,916,917,5,97,0,0,917,918,5,115,0,0,918,100,1,0,0,0,919,920,5,115, 0,0,920,921,5,105,0,0,921,922,5,103,0,0,922,923,5,109,0,0,923,924, 5,95,0,0,924,925,5,101,0,0,925,926,5,120,0,0,926,927,5,112,0,0,927, 928,5,111,0,0,928,929,5,110,0,0,929,930,5,101,0,0,930,931,5,110, 0,0,931,932,5,116,0,0,932,933,5,105,0,0,933,934,5,97,0,0,934,935, 5,108,0,0,935,102,1,0,0,0,936,937,5,115,0,0,937,938,5,105,0,0,938, 939,5,103,0,0,939,940,5,109,0,0,940,941,5,95,0,0,941,942,5,112,0, 0,942,943,5,111,0,0,943,944,5,108,0,0,944,945,5,121,0,0,945,946, 5,101,0,0,946,947,5,120,0,0,947,948,5,112,0,0,948,949,5,111,0,0, 949,950,5,110,0,0,950,951,5,101,0,0,951,952,5,110,0,0,952,953,5, 116,0,0,953,954,5,105,0,0,954,955,5,97,0,0,955,956,5,108,0,0,956, 104,1,0,0,0,957,958,5,115,0,0,958,959,5,105,0,0,959,960,5,103,0, 0,960,961,5,109,0,0,961,962,5,95,0,0,962,963,5,108,0,0,963,964,5, 97,0,0,964,965,5,112,0,0,965,966,5,108,0,0,966,967,5,97,0,0,967, 968,5,99,0,0,968,969,5,101,0,0,969,106,1,0,0,0,970,971,5,99,0,0, 971,972,5,108,0,0,972,973,5,97,0,0,973,974,5,109,0,0,974,975,5,112, 0,0,975,108,1,0,0,0,976,977,5,102,0,0,977,978,5,102,0,0,978,979, 5,116,0,0,979,110,1,0,0,0,980,981,5,105,0,0,981,982,5,102,0,0,982, 983,5,102,0,0,983,984,5,116,0,0,984,112,1,0,0,0,985,986,5,97,0,0, 986,987,5,110,0,0,987,988,5,103,0,0,988,989,5,108,0,0,989,990,5, 101,0,0,990,114,1,0,0,0,991,992,5,112,0,0,992,993,5,114,0,0,993, 994,5,105,0,0,994,995,5,110,0,0,995,996,5,116,0,0,996,116,1,0,0, 0,997,998,5,112,0,0,998,999,5,114,0,0,999,1000,5,105,0,0,1000,1001, 5,110,0,0,1001,1002,5,116,0,0,1002,1003,5,95,0,0,1003,1004,5,115, 0,0,1004,1005,5,104,0,0,1005,1006,5,97,0,0,1006,1007,5,112,0,0,1007, 1013,5,101,0,0,1008,1009,5,112,0,0,1009,1010,5,115,0,0,1010,1011, 5,104,0,0,1011,1013,5,112,0,0,1012,997,1,0,0,0,1012,1008,1,0,0,0, 1013,118,1,0,0,0,1014,1015,5,110,0,0,1015,1016,5,118,0,0,1016,1028, 5,108,0,0,1017,1018,5,110,0,0,1018,1019,5,97,0,0,1019,1020,5,110, 0,0,1020,1021,5,95,0,0,1021,1022,5,116,0,0,1022,1023,5,111,0,0,1023, 1024,5,95,0,0,1024,1025,5,110,0,0,1025,1026,5,117,0,0,1026,1028, 5,109,0,0,1027,1014,1,0,0,0,1027,1017,1,0,0,0,1028,120,1,0,0,0,1029, 1030,5,108,0,0,1030,1031,5,101,0,0,1031,1032,5,114,0,0,1032,1033, 5,112,0,0,1033,122,1,0,0,0,1034,1035,5,105,0,0,1035,1036,5,110,0, 0,1036,1037,5,116,0,0,1037,1038,5,101,0,0,1038,1039,5,114,0,0,1039, 1040,5,112,0,0,1040,124,1,0,0,0,1041,1042,5,115,0,0,1042,1043,5, 108,0,0,1043,1044,5,101,0,0,1044,1045,5,114,0,0,1045,1046,5,112, 0,0,1046,126,1,0,0,0,1047,1048,5,115,0,0,1048,1049,5,116,0,0,1049, 1050,5,101,0,0,1050,1051,5,112,0,0,1051,128,1,0,0,0,1052,1053,5, 115,0,0,1053,1054,5,109,0,0,1054,1055,5,111,0,0,1055,1056,5,111, 0,0,1056,1057,5,116,0,0,1057,1058,5,104,0,0,1058,1059,5,115,0,0, 1059,1060,5,116,0,0,1060,1061,5,101,0,0,1061,1062,5,112,0,0,1062, 130,1,0,0,0,1063,1064,5,102,0,0,1064,1065,5,114,0,0,1065,1066,5, 97,0,0,1066,1067,5,99,0,0,1067,1068,5,116,0,0,1068,132,1,0,0,0,1069, 1070,5,114,0,0,1070,1071,5,101,0,0,1071,1072,5,108,0,0,1072,1073, 5,117,0,0,1073,134,1,0,0,0,1074,1075,5,115,0,0,1075,1076,5,111,0, 0,1076,1077,5,102,0,0,1077,1078,5,116,0,0,1078,1079,5,115,0,0,1079, 1080,5,105,0,0,1080,1081,5,103,0,0,1081,1082,5,110,0,0,1082,136, 1,0,0,0,1083,1084,5,108,0,0,1084,1085,5,101,0,0,1085,1086,5,97,0, 0,1086,1087,5,107,0,0,1087,1088,5,121,0,0,1088,1089,5,95,0,0,1089, 1090,5,114,0,0,1090,1091,5,101,0,0,1091,1092,5,108,0,0,1092,1093, 5,117,0,0,1093,138,1,0,0,0,1094,1095,5,115,0,0,1095,1096,5,111,0, 0,1096,1097,5,102,0,0,1097,1098,5,116,0,0,1098,1099,5,112,0,0,1099, 1100,5,108,0,0,1100,1101,5,117,0,0,1101,1102,5,115,0,0,1102,140, 1,0,0,0,1103,1104,5,103,0,0,1104,1105,5,101,0,0,1105,1106,5,108, 0,0,1106,1107,5,117,0,0,1107,142,1,0,0,0,1108,1109,5,115,0,0,1109, 1110,5,105,0,0,1110,1111,5,108,0,0,1111,1112,5,117,0,0,1112,144, 1,0,0,0,1113,1114,5,115,0,0,1114,1115,5,105,0,0,1115,1116,5,103, 0,0,1116,1117,5,110,0,0,1117,146,1,0,0,0,1118,1119,5,100,0,0,1119, 1120,5,101,0,0,1120,1121,5,103,0,0,1121,1122,5,114,0,0,1122,1123, 5,101,0,0,1123,1124,5,101,0,0,1124,1125,5,115,0,0,1125,148,1,0,0, 0,1126,1127,5,114,0,0,1127,1128,5,97,0,0,1128,1129,5,100,0,0,1129, 1130,5,105,0,0,1130,1131,5,97,0,0,1131,1132,5,110,0,0,1132,1133, 5,115,0,0,1133,150,1,0,0,0,1134,1135,5,108,0,0,1135,1136,5,111,0, 0,1136,1137,5,103,0,0,1137,1138,5,105,0,0,1138,1139,5,99,0,0,1139, 1140,5,97,0,0,1140,1141,5,108,0,0,1141,1142,5,95,0,0,1142,1143,5, 110,0,0,1143,1144,5,111,0,0,1144,1145,5,116,0,0,1145,152,1,0,0,0, 1146,1147,5,108,0,0,1147,1148,5,111,0,0,1148,1149,5,103,0,0,1149, 1150,5,105,0,0,1150,1151,5,99,0,0,1151,1152,5,97,0,0,1152,1153,5, 108,0,0,1153,1154,5,95,0,0,1154,1155,5,97,0,0,1155,1156,5,110,0, 0,1156,1157,5,100,0,0,1157,154,1,0,0,0,1158,1159,5,108,0,0,1159, 1160,5,111,0,0,1160,1161,5,103,0,0,1161,1162,5,105,0,0,1162,1163, 5,99,0,0,1163,1164,5,97,0,0,1164,1165,5,108,0,0,1165,1166,5,95,0, 0,1166,1167,5,111,0,0,1167,1168,5,114,0,0,1168,156,1,0,0,0,1169, 1170,5,104,0,0,1170,1171,5,121,0,0,1171,1172,5,112,0,0,1172,1173, 5,111,0,0,1173,1174,5,116,0,0,1174,158,1,0,0,0,1175,1176,5,109,0, 0,1176,1177,5,97,0,0,1177,1178,5,112,0,0,1178,160,1,0,0,0,1179,1180, 5,101,0,0,1180,1181,5,122,0,0,1181,1182,5,99,0,0,1182,1183,5,111, 0,0,1183,1184,5,110,0,0,1184,1185,5,118,0,0,1185,1186,5,111,0,0, 1186,1187,5,108,0,0,1187,1188,5,117,0,0,1188,1189,5,116,0,0,1189, 1190,5,105,0,0,1190,1191,5,111,0,0,1191,1199,5,110,0,0,1192,1193, 5,101,0,0,1193,1194,5,122,0,0,1194,1195,5,99,0,0,1195,1196,5,111, 0,0,1196,1197,5,110,0,0,1197,1199,5,118,0,0,1198,1179,1,0,0,0,1198, 1192,1,0,0,0,1199,162,1,0,0,0,1200,1201,5,99,0,0,1201,1202,5,111, 0,0,1202,1203,5,110,0,0,1203,1204,5,118,0,0,1204,1205,5,111,0,0, 1205,1206,5,108,0,0,1206,1207,5,117,0,0,1207,1208,5,116,0,0,1208, 1209,5,105,0,0,1209,1210,5,111,0,0,1210,1216,5,110,0,0,1211,1212, 5,99,0,0,1212,1213,5,111,0,0,1213,1214,5,110,0,0,1214,1216,5,118, 0,0,1215,1200,1,0,0,0,1215,1211,1,0,0,0,1216,164,1,0,0,0,1217,1218, 5,115,0,0,1218,1219,5,119,0,0,1219,1220,5,97,0,0,1220,1221,5,112, 0,0,1221,166,1,0,0,0,1222,1223,5,116,0,0,1223,1224,5,114,0,0,1224, 1225,5,97,0,0,1225,1226,5,110,0,0,1226,1227,5,115,0,0,1227,1228, 5,112,0,0,1228,1229,5,111,0,0,1229,1230,5,115,0,0,1230,1240,5,101, 0,0,1231,1232,5,115,0,0,1232,1233,5,119,0,0,1233,1234,5,97,0,0,1234, 1235,5,112,0,0,1235,1236,5,97,0,0,1236,1237,5,120,0,0,1237,1238, 5,101,0,0,1238,1240,5,115,0,0,1239,1222,1,0,0,0,1239,1231,1,0,0, 0,1240,168,1,0,0,0,1241,1242,5,112,0,0,1242,1243,5,101,0,0,1243, 1244,5,114,0,0,1244,1245,5,109,0,0,1245,1246,5,117,0,0,1246,1247, 5,116,0,0,1247,1253,5,101,0,0,1248,1249,5,112,0,0,1249,1250,5,101, 0,0,1250,1251,5,114,0,0,1251,1253,5,109,0,0,1252,1241,1,0,0,0,1252, 1248,1,0,0,0,1253,170,1,0,0,0,1254,1255,5,114,0,0,1255,1256,5,101, 0,0,1256,1257,5,115,0,0,1257,1258,5,104,0,0,1258,1259,5,97,0,0,1259, 1260,5,112,0,0,1260,1266,5,101,0,0,1261,1262,5,114,0,0,1262,1263, 5,115,0,0,1263,1264,5,104,0,0,1264,1266,5,112,0,0,1265,1254,1,0, 0,0,1265,1261,1,0,0,0,1266,172,1,0,0,0,1267,1268,5,114,0,0,1268, 1269,5,97,0,0,1269,1270,5,110,0,0,1270,1271,5,103,0,0,1271,1272, 5,101,0,0,1272,174,1,0,0,0,1273,1274,5,108,0,0,1274,1275,5,105,0, 0,1275,1276,5,110,0,0,1276,1277,5,115,0,0,1277,1278,5,112,0,0,1278, 1279,5,97,0,0,1279,1280,5,99,0,0,1280,1281,5,101,0,0,1281,176,1, 0,0,0,1282,1283,5,108,0,0,1283,1284,5,111,0,0,1284,1285,5,103,0, 0,1285,1286,5,115,0,0,1286,1287,5,112,0,0,1287,1288,5,97,0,0,1288, 1289,5,99,0,0,1289,1290,5,101,0,0,1290,178,1,0,0,0,1291,1292,5,116, 0,0,1292,1293,5,111,0,0,1293,1294,5,112,0,0,1294,1295,5,107,0,0, 1295,180,1,0,0,0,1296,1297,5,98,0,0,1297,1298,5,111,0,0,1298,1299, 5,116,0,0,1299,1300,5,107,0,0,1300,182,1,0,0,0,1301,1302,5,112,0, 0,1302,1303,5,105,0,0,1303,1304,5,110,0,0,1304,1305,5,118,0,0,1305, 184,1,0,0,0,1306,1307,5,105,0,0,1307,1308,5,110,0,0,1308,1309,5, 118,0,0,1309,186,1,0,0,0,1310,1311,5,115,0,0,1311,1312,5,117,0,0, 1312,1313,5,109,0,0,1313,188,1,0,0,0,1314,1315,5,109,0,0,1315,1316, 5,101,0,0,1316,1317,5,97,0,0,1317,1318,5,110,0,0,1318,190,1,0,0, 0,1319,1320,5,115,0,0,1320,1321,5,116,0,0,1321,1322,5,100,0,0,1322, 192,1,0,0,0,1323,1324,5,118,0,0,1324,1325,5,97,0,0,1325,1326,5,114, 0,0,1326,194,1,0,0,0,1327,1328,5,112,0,0,1328,1329,5,114,0,0,1329, 1330,5,111,0,0,1330,1331,5,100,0,0,1331,196,1,0,0,0,1332,1333,5, 105,0,0,1333,1334,5,115,0,0,1334,1335,5,99,0,0,1335,1336,5,108,0, 0,1336,1337,5,111,0,0,1337,1338,5,115,0,0,1338,1339,5,101,0,0,1339, 198,1,0,0,0,1340,1341,5,97,0,0,1341,1342,5,108,0,0,1342,1343,5,108, 0,0,1343,1344,5,99,0,0,1344,1345,5,108,0,0,1345,1346,5,111,0,0,1346, 1347,5,115,0,0,1347,1348,5,101,0,0,1348,200,1,0,0,0,1349,1350,5, 113,0,0,1350,1351,5,117,0,0,1351,1352,5,97,0,0,1352,1353,5,114,0, 0,1353,1354,5,116,0,0,1354,1355,5,105,0,0,1355,1356,5,108,0,0,1356, 1365,5,101,0,0,1357,1358,5,113,0,0,1358,1359,5,117,0,0,1359,1360, 5,97,0,0,1360,1361,5,114,0,0,1361,1362,5,116,0,0,1362,1363,5,105, 0,0,1363,1365,5,108,0,0,1364,1349,1,0,0,0,1364,1357,1,0,0,0,1365, 202,1,0,0,0,1366,1367,5,112,0,0,1367,1368,5,101,0,0,1368,1369,5, 114,0,0,1369,1370,5,99,0,0,1370,1371,5,101,0,0,1371,1372,5,110,0, 0,1372,1373,5,116,0,0,1373,1374,5,105,0,0,1374,1375,5,108,0,0,1375, 1382,5,101,0,0,1376,1377,5,112,0,0,1377,1378,5,114,0,0,1378,1379, 5,99,0,0,1379,1380,5,110,0,0,1380,1382,5,116,0,0,1381,1366,1,0,0, 0,1381,1376,1,0,0,0,1382,204,1,0,0,0,1383,1384,5,113,0,0,1384,1385, 5,117,0,0,1385,1386,5,97,0,0,1386,1387,5,110,0,0,1387,1388,5,116, 0,0,1388,1389,5,105,0,0,1389,1390,5,108,0,0,1390,1391,5,101,0,0, 1391,206,1,0,0,0,1392,1393,5,100,0,0,1393,1394,5,111,0,0,1394,1395, 5,116,0,0,1395,208,1,0,0,0,1396,1397,5,109,0,0,1397,1398,5,111,0, 0,1398,1399,5,109,0,0,1399,1400,5,101,0,0,1400,1401,5,110,0,0,1401, 1402,5,116,0,0,1402,210,1,0,0,0,1403,1404,5,101,0,0,1404,1405,5, 114,0,0,1405,1406,5,102,0,0,1406,212,1,0,0,0,1407,1408,5,101,0,0, 1408,1409,5,114,0,0,1409,1410,5,102,0,0,1410,1411,5,99,0,0,1411, 214,1,0,0,0,1412,1413,5,101,0,0,1413,1414,5,114,0,0,1414,1415,5, 102,0,0,1415,1416,5,105,0,0,1416,1417,5,110,0,0,1417,1418,5,118, 0,0,1418,216,1,0,0,0,1419,1420,5,97,0,0,1420,1421,5,110,0,0,1421, 1422,5,121,0,0,1422,218,1,0,0,0,1423,1424,5,97,0,0,1424,1425,5,108, 0,0,1425,1426,5,108,0,0,1426,220,1,0,0,0,1427,1428,5,101,0,0,1428, 1429,5,100,0,0,1429,1430,5,103,0,0,1430,1431,5,101,0,0,1431,222, 1,0,0,0,1432,1433,5,100,0,0,1433,1434,5,105,0,0,1434,1435,5,115, 0,0,1435,1436,5,116,0,0,1436,1437,5,97,0,0,1437,1438,5,110,0,0,1438, 1439,5,99,0,0,1439,1440,5,101,0,0,1440,1441,5,95,0,0,1441,1442,5, 116,0,0,1442,1443,5,114,0,0,1443,1444,5,97,0,0,1444,1445,5,110,0, 0,1445,1446,5,115,0,0,1446,1447,5,102,0,0,1447,1448,5,111,0,0,1448, 1449,5,114,0,0,1449,1450,5,109,0,0,1450,224,1,0,0,0,1451,1452,5, 103,0,0,1452,1453,5,114,0,0,1453,1454,5,97,0,0,1454,1455,5,121,0, 0,1455,1456,5,115,0,0,1456,1457,5,99,0,0,1457,1458,5,97,0,0,1458, 1459,5,108,0,0,1459,1460,5,101,0,0,1460,226,1,0,0,0,1461,1462,5, 98,0,0,1462,1463,5,108,0,0,1463,1464,5,117,0,0,1464,1474,5,114,0, 0,1465,1466,5,103,0,0,1466,1467,5,97,0,0,1467,1468,5,117,0,0,1468, 1469,5,115,0,0,1469,1470,5,115,0,0,1470,1471,5,105,0,0,1471,1472, 5,97,0,0,1472,1474,5,110,0,0,1473,1461,1,0,0,0,1473,1465,1,0,0,0, 1474,228,1,0,0,0,1475,1476,5,109,0,0,1476,1477,5,101,0,0,1477,1478, 5,100,0,0,1478,1479,5,105,0,0,1479,1480,5,97,0,0,1480,1481,5,110, 0,0,1481,230,1,0,0,0,1482,1483,5,109,0,0,1483,1484,5,111,0,0,1484, 1485,5,100,0,0,1485,1486,5,101,0,0,1486,232,1,0,0,0,1487,1488,5, 99,0,0,1488,1489,5,117,0,0,1489,1490,5,109,0,0,1490,1491,5,109,0, 0,1491,1492,5,97,0,0,1492,1493,5,120,0,0,1493,234,1,0,0,0,1494,1495, 5,99,0,0,1495,1496,5,117,0,0,1496,1497,5,109,0,0,1497,1498,5,109, 0,0,1498,1499,5,105,0,0,1499,1500,5,110,0,0,1500,236,1,0,0,0,1501, 1502,5,99,0,0,1502,1503,5,117,0,0,1503,1504,5,109,0,0,1504,1505, 5,115,0,0,1505,1506,5,117,0,0,1506,1507,5,109,0,0,1507,238,1,0,0, 0,1508,1509,5,99,0,0,1509,1510,5,117,0,0,1510,1511,5,109,0,0,1511, 1512,5,112,0,0,1512,1513,5,114,0,0,1513,1514,5,111,0,0,1514,1515, 5,100,0,0,1515,240,1,0,0,0,1516,1517,5,116,0,0,1517,1518,5,111,0, 0,1518,1519,5,112,0,0,1519,1520,5,107,0,0,1520,1521,5,95,0,0,1521, 1522,5,105,0,0,1522,1523,5,110,0,0,1523,1537,5,100,0,0,1524,1525, 5,116,0,0,1525,1526,5,111,0,0,1526,1527,5,112,0,0,1527,1528,5,107, 0,0,1528,1529,5,95,0,0,1529,1530,5,105,0,0,1530,1531,5,110,0,0,1531, 1532,5,100,0,0,1532,1533,5,105,0,0,1533,1534,5,99,0,0,1534,1535, 5,101,0,0,1535,1537,5,115,0,0,1536,1516,1,0,0,0,1536,1524,1,0,0, 0,1537,242,1,0,0,0,1538,1539,5,98,0,0,1539,1540,5,111,0,0,1540,1541, 5,116,0,0,1541,1542,5,107,0,0,1542,1543,5,95,0,0,1543,1544,5,105, 0,0,1544,1545,5,110,0,0,1545,1559,5,100,0,0,1546,1547,5,98,0,0,1547, 1548,5,111,0,0,1548,1549,5,116,0,0,1549,1550,5,107,0,0,1550,1551, 5,95,0,0,1551,1552,5,105,0,0,1552,1553,5,110,0,0,1553,1554,5,100, 0,0,1554,1555,5,105,0,0,1555,1556,5,99,0,0,1556,1557,5,101,0,0,1557, 1559,5,115,0,0,1558,1538,1,0,0,0,1558,1546,1,0,0,0,1559,244,1,0, 0,0,1560,1561,5,99,0,0,1561,1562,5,117,0,0,1562,1563,5,98,0,0,1563, 1564,5,105,0,0,1564,1565,5,99,0,0,1565,1566,5,95,0,0,1566,1567,5, 101,0,0,1567,1568,5,97,0,0,1568,1569,5,115,0,0,1569,1576,5,101,0, 0,1570,1571,5,99,0,0,1571,1572,5,117,0,0,1572,1573,5,98,0,0,1573, 1574,5,105,0,0,1574,1576,5,99,0,0,1575,1560,1,0,0,0,1575,1570,1, 0,0,0,1576,246,1,0,0,0,1577,1578,5,101,0,0,1578,1579,5,108,0,0,1579, 1580,5,97,0,0,1580,1581,5,115,0,0,1581,1582,5,116,0,0,1582,1583, 5,105,0,0,1583,1584,5,99,0,0,1584,1585,5,95,0,0,1585,1586,5,101, 0,0,1586,1587,5,97,0,0,1587,1588,5,115,0,0,1588,1597,5,101,0,0,1589, 1590,5,101,0,0,1590,1591,5,108,0,0,1591,1592,5,97,0,0,1592,1593, 5,115,0,0,1593,1594,5,116,0,0,1594,1595,5,105,0,0,1595,1597,5,99, 0,0,1596,1577,1,0,0,0,1596,1589,1,0,0,0,1597,248,1,0,0,0,1598,1599, 5,115,0,0,1599,1600,5,105,0,0,1600,1601,5,110,0,0,1601,1602,5,101, 0,0,1602,1603,5,95,0,0,1603,1604,5,101,0,0,1604,1605,5,97,0,0,1605, 1606,5,115,0,0,1606,1612,5,101,0,0,1607,1608,5,115,0,0,1608,1609, 5,105,0,0,1609,1610,5,110,0,0,1610,1612,5,101,0,0,1611,1598,1,0, 0,0,1611,1607,1,0,0,0,1612,250,1,0,0,0,1613,1614,5,115,0,0,1614, 1615,5,109,0,0,1615,1616,5,111,0,0,1616,1617,5,111,0,0,1617,1618, 5,116,0,0,1618,1619,5,104,0,0,1619,1620,5,101,0,0,1620,1621,5,114, 0,0,1621,1622,5,115,0,0,1622,1623,5,116,0,0,1623,1624,5,101,0,0, 1624,1625,5,112,0,0,1625,252,1,0,0,0,1626,1627,5,100,0,0,1627,1628, 5,105,0,0,1628,1629,5,115,0,0,1629,1639,5,116,0,0,1630,1631,5,100, 0,0,1631,1632,5,105,0,0,1632,1633,5,115,0,0,1633,1634,5,116,0,0, 1634,1635,5,97,0,0,1635,1636,5,110,0,0,1636,1637,5,99,0,0,1637,1639, 5,101,0,0,1638,1626,1,0,0,0,1638,1630,1,0,0,0,1639,254,1,0,0,0,1640, 1641,5,114,0,0,1641,1642,5,101,0,0,1642,1643,5,109,0,0,1643,1644, 5,97,0,0,1644,1645,5,112,0,0,1645,256,1,0,0,0,1646,1647,5,99,0,0, 1647,1648,5,111,0,0,1648,1649,5,115,0,0,1649,1650,5,115,0,0,1650, 1651,5,105,0,0,1651,1670,5,109,0,0,1652,1653,5,99,0,0,1653,1654, 5,111,0,0,1654,1655,5,115,0,0,1655,1656,5,105,0,0,1656,1657,5,110, 0,0,1657,1658,5,101,0,0,1658,1659,5,95,0,0,1659,1660,5,115,0,0,1660, 1661,5,105,0,0,1661,1662,5,109,0,0,1662,1663,5,105,0,0,1663,1664, 5,108,0,0,1664,1665,5,97,0,0,1665,1666,5,114,0,0,1666,1667,5,105, 0,0,1667,1668,5,116,0,0,1668,1670,5,121,0,0,1669,1646,1,0,0,0,1669, 1652,1,0,0,0,1670,258,1,0,0,0,1671,1672,5,99,0,0,1672,1673,5,111, 0,0,1673,1674,5,117,0,0,1674,1675,5,110,0,0,1675,1686,5,116,0,0, 1676,1677,5,99,0,0,1677,1678,5,110,0,0,1678,1686,5,116,0,0,1679, 1680,5,108,0,0,1680,1681,5,101,0,0,1681,1682,5,110,0,0,1682,1683, 5,103,0,0,1683,1684,5,116,0,0,1684,1686,5,104,0,0,1685,1671,1,0, 0,0,1685,1676,1,0,0,0,1685,1679,1,0,0,0,1686,260,1,0,0,0,1687,1688, 5,107,0,0,1688,1689,5,101,0,0,1689,1690,5,121,0,0,1690,1691,5,115, 0,0,1691,262,1,0,0,0,1692,1693,5,101,0,0,1693,1694,5,110,0,0,1694, 1695,5,97,0,0,1695,1696,5,98,0,0,1696,1697,5,108,0,0,1697,1698,5, 101,0,0,1698,1699,5,95,0,0,1699,1700,5,116,0,0,1700,1701,5,114,0, 0,1701,1702,5,97,0,0,1702,1703,5,99,0,0,1703,1704,5,107,0,0,1704, 1705,5,105,0,0,1705,1706,5,110,0,0,1706,1716,5,103,0,0,1707,1708, 5,116,0,0,1708,1709,5,114,0,0,1709,1710,5,97,0,0,1710,1711,5,99, 0,0,1711,1712,5,107,0,0,1712,1713,5,95,0,0,1713,1714,5,111,0,0,1714, 1716,5,110,0,0,1715,1692,1,0,0,0,1715,1707,1,0,0,0,1716,264,1,0, 0,0,1717,1718,5,100,0,0,1718,1719,5,105,0,0,1719,1720,5,115,0,0, 1720,1721,5,97,0,0,1721,1722,5,98,0,0,1722,1723,5,108,0,0,1723,1724, 5,101,0,0,1724,1725,5,95,0,0,1725,1726,5,116,0,0,1726,1727,5,114, 0,0,1727,1728,5,97,0,0,1728,1729,5,99,0,0,1729,1730,5,107,0,0,1730, 1731,5,105,0,0,1731,1732,5,110,0,0,1732,1743,5,103,0,0,1733,1734, 5,116,0,0,1734,1735,5,114,0,0,1735,1736,5,97,0,0,1736,1737,5,99, 0,0,1737,1738,5,107,0,0,1738,1739,5,95,0,0,1739,1740,5,111,0,0,1740, 1741,5,102,0,0,1741,1743,5,102,0,0,1742,1717,1,0,0,0,1742,1733,1, 0,0,0,1743,266,1,0,0,0,1744,1745,5,114,0,0,1745,1746,5,101,0,0,1746, 1747,5,115,0,0,1747,1748,5,101,0,0,1748,1749,5,116,0,0,1749,1750, 5,95,0,0,1750,1751,5,116,0,0,1751,1752,5,114,0,0,1752,1753,5,97, 0,0,1753,1754,5,99,0,0,1754,1755,5,107,0,0,1755,1756,5,105,0,0,1756, 1757,5,110,0,0,1757,1770,5,103,0,0,1758,1759,5,116,0,0,1759,1760, 5,114,0,0,1760,1761,5,97,0,0,1761,1762,5,99,0,0,1762,1763,5,107, 0,0,1763,1764,5,95,0,0,1764,1765,5,114,0,0,1765,1766,5,101,0,0,1766, 1767,5,115,0,0,1767,1768,5,101,0,0,1768,1770,5,116,0,0,1769,1744, 1,0,0,0,1769,1758,1,0,0,0,1770,268,1,0,0,0,1771,1772,5,103,0,0,1772, 1773,5,101,0,0,1773,1774,5,116,0,0,1774,1775,5,95,0,0,1775,1776, 5,99,0,0,1776,1777,5,104,0,0,1777,1778,5,97,0,0,1778,1779,5,110, 0,0,1779,1780,5,103,0,0,1780,1781,5,101,0,0,1781,1782,5,100,0,0, 1782,1783,5,95,0,0,1783,1784,5,107,0,0,1784,1785,5,101,0,0,1785, 1786,5,121,0,0,1786,1800,5,115,0,0,1787,1788,5,99,0,0,1788,1789, 5,104,0,0,1789,1790,5,97,0,0,1790,1791,5,110,0,0,1791,1792,5,103, 0,0,1792,1793,5,101,0,0,1793,1794,5,100,0,0,1794,1795,5,95,0,0,1795, 1796,5,107,0,0,1796,1797,5,101,0,0,1797,1798,5,121,0,0,1798,1800, 5,115,0,0,1799,1771,1,0,0,0,1799,1787,1,0,0,0,1800,270,1,0,0,0,1801, 1802,5,103,0,0,1802,1803,5,101,0,0,1803,1804,5,116,0,0,1804,1805, 5,95,0,0,1805,1806,5,97,0,0,1806,1807,5,100,0,0,1807,1808,5,100, 0,0,1808,1809,5,101,0,0,1809,1810,5,100,0,0,1810,1811,5,95,0,0,1811, 1812,5,107,0,0,1812,1813,5,101,0,0,1813,1814,5,121,0,0,1814,1826, 5,115,0,0,1815,1816,5,97,0,0,1816,1817,5,100,0,0,1817,1818,5,100, 0,0,1818,1819,5,101,0,0,1819,1820,5,100,0,0,1820,1821,5,95,0,0,1821, 1822,5,107,0,0,1822,1823,5,101,0,0,1823,1824,5,121,0,0,1824,1826, 5,115,0,0,1825,1801,1,0,0,0,1825,1815,1,0,0,0,1826,272,1,0,0,0,1827, 1828,5,103,0,0,1828,1829,5,101,0,0,1829,1830,5,116,0,0,1830,1831, 5,95,0,0,1831,1832,5,114,0,0,1832,1833,5,101,0,0,1833,1834,5,109, 0,0,1834,1835,5,111,0,0,1835,1836,5,118,0,0,1836,1837,5,101,0,0, 1837,1838,5,100,0,0,1838,1839,5,95,0,0,1839,1840,5,107,0,0,1840, 1841,5,101,0,0,1841,1842,5,121,0,0,1842,1856,5,115,0,0,1843,1844, 5,114,0,0,1844,1845,5,101,0,0,1845,1846,5,109,0,0,1846,1847,5,111, 0,0,1847,1848,5,118,0,0,1848,1849,5,101,0,0,1849,1850,5,100,0,0, 1850,1851,5,95,0,0,1851,1852,5,107,0,0,1852,1853,5,101,0,0,1853, 1854,5,121,0,0,1854,1856,5,115,0,0,1855,1827,1,0,0,0,1855,1843,1, 0,0,0,1856,274,1,0,0,0,1857,1858,5,103,0,0,1858,1859,5,101,0,0,1859, 1860,5,116,0,0,1860,1861,5,95,0,0,1861,1862,5,117,0,0,1862,1863, 5,110,0,0,1863,1864,5,99,0,0,1864,1865,5,104,0,0,1865,1866,5,97, 0,0,1866,1867,5,110,0,0,1867,1868,5,103,0,0,1868,1869,5,101,0,0, 1869,1870,5,100,0,0,1870,1871,5,95,0,0,1871,1872,5,107,0,0,1872, 1873,5,101,0,0,1873,1874,5,121,0,0,1874,1890,5,115,0,0,1875,1876, 5,117,0,0,1876,1877,5,110,0,0,1877,1878,5,99,0,0,1878,1879,5,104, 0,0,1879,1880,5,97,0,0,1880,1881,5,110,0,0,1881,1882,5,103,0,0,1882, 1883,5,101,0,0,1883,1884,5,100,0,0,1884,1885,5,95,0,0,1885,1886, 5,107,0,0,1886,1887,5,101,0,0,1887,1888,5,121,0,0,1888,1890,5,115, 0,0,1889,1857,1,0,0,0,1889,1875,1,0,0,0,1890,276,1,0,0,0,1891,1892, 5,114,0,0,1892,1893,5,101,0,0,1893,1894,5,112,0,0,1894,1895,5,101, 0,0,1895,1896,5,97,0,0,1896,1897,5,116,0,0,1897,278,1,0,0,0,1898, 1899,5,102,0,0,1899,1900,5,108,0,0,1900,1901,5,97,0,0,1901,1902, 5,116,0,0,1902,1903,5,116,0,0,1903,1904,5,101,0,0,1904,1905,5,110, 0,0,1905,280,1,0,0,0,1906,1907,5,97,0,0,1907,1908,5,112,0,0,1908, 1909,5,112,0,0,1909,1910,5,101,0,0,1910,1911,5,110,0,0,1911,1912, 5,100,0,0,1912,282,1,0,0,0,1913,1914,5,103,0,0,1914,1915,5,101,0, 0,1915,1916,5,116,0,0,1916,1917,5,95,0,0,1917,1918,5,118,0,0,1918, 1919,5,97,0,0,1919,1920,5,108,0,0,1920,1921,5,117,0,0,1921,1922, 5,101,0,0,1922,284,1,0,0,0,1923,1924,5,102,0,0,1924,1925,5,108,0, 0,1925,1926,5,111,0,0,1926,1927,5,119,0,0,1927,1928,5,95,0,0,1928, 1929,5,97,0,0,1929,1930,5,112,0,0,1930,1931,5,112,0,0,1931,1932, 5,108,0,0,1932,1933,5,121,0,0,1933,286,1,0,0,0,1934,1935,5,98,0, 0,1935,1936,5,97,0,0,1936,1937,5,116,0,0,1937,1938,5,99,0,0,1938, 1939,5,104,0,0,1939,1940,5,95,0,0,1940,1941,5,115,0,0,1941,1942, 5,104,0,0,1942,1943,5,117,0,0,1943,1944,5,102,0,0,1944,1945,5,102, 0,0,1945,1946,5,108,0,0,1946,1961,5,101,0,0,1947,1948,5,115,0,0, 1948,1949,5,104,0,0,1949,1950,5,117,0,0,1950,1951,5,102,0,0,1951, 1952,5,102,0,0,1952,1953,5,108,0,0,1953,1961,5,101,0,0,1954,1955, 5,115,0,0,1955,1956,5,101,0,0,1956,1957,5,108,0,0,1957,1958,5,101, 0,0,1958,1959,5,99,0,0,1959,1961,5,116,0,0,1960,1934,1,0,0,0,1960, 1947,1,0,0,0,1960,1954,1,0,0,0,1961,288,1,0,0,0,1962,1963,5,109, 0,0,1963,1964,5,111,0,0,1964,1965,5,116,0,0,1965,1966,5,105,0,0, 1966,1967,5,111,0,0,1967,1968,5,110,0,0,1968,1969,5,95,0,0,1969, 1970,5,109,0,0,1970,1971,5,97,0,0,1971,1972,5,115,0,0,1972,1973, 5,107,0,0,1973,290,1,0,0,0,1974,1975,5,102,0,0,1975,1976,5,108,0, 0,1976,1977,5,111,0,0,1977,1978,5,119,0,0,1978,1979,5,95,0,0,1979, 1980,5,116,0,0,1980,1981,5,111,0,0,1981,1982,5,95,0,0,1982,1983, 5,105,0,0,1983,1984,5,109,0,0,1984,1985,5,97,0,0,1985,1986,5,103, 0,0,1986,1987,5,101,0,0,1987,292,1,0,0,0,1988,1989,5,102,0,0,1989, 1990,5,108,0,0,1990,1991,5,111,0,0,1991,1992,5,119,0,0,1992,1993, 5,95,0,0,1993,1994,5,109,0,0,1994,1995,5,97,0,0,1995,2011,5,103, 0,0,1996,1997,5,102,0,0,1997,1998,5,108,0,0,1998,1999,5,111,0,0, 1999,2000,5,119,0,0,2000,2001,5,95,0,0,2001,2002,5,109,0,0,2002, 2003,5,97,0,0,2003,2004,5,103,0,0,2004,2005,5,110,0,0,2005,2006, 5,105,0,0,2006,2007,5,116,0,0,2007,2008,5,117,0,0,2008,2009,5,100, 0,0,2009,2011,5,101,0,0,2010,1988,1,0,0,0,2010,1996,1,0,0,0,2011, 294,1,0,0,0,2012,2013,5,102,0,0,2013,2014,5,108,0,0,2014,2015,5, 111,0,0,2015,2016,5,119,0,0,2016,2017,5,95,0,0,2017,2018,5,97,0, 0,2018,2019,5,110,0,0,2019,2031,5,103,0,0,2020,2021,5,102,0,0,2021, 2022,5,108,0,0,2022,2023,5,111,0,0,2023,2024,5,119,0,0,2024,2025, 5,95,0,0,2025,2026,5,97,0,0,2026,2027,5,110,0,0,2027,2028,5,103, 0,0,2028,2029,5,108,0,0,2029,2031,5,101,0,0,2030,2012,1,0,0,0,2030, 2020,1,0,0,0,2031,296,1,0,0,0,2032,2033,5,119,0,0,2033,2034,5,104, 0,0,2034,2035,5,101,0,0,2035,2036,5,114,0,0,2036,2037,5,101,0,0, 2037,298,1,0,0,0,2038,2039,5,104,0,0,2039,2040,5,105,0,0,2040,2041, 5,115,0,0,2041,2042,5,116,0,0,2042,2043,5,111,0,0,2043,2044,5,103, 0,0,2044,2045,5,114,0,0,2045,2046,5,97,0,0,2046,2052,5,109,0,0,2047, 2048,5,104,0,0,2048,2049,5,105,0,0,2049,2050,5,115,0,0,2050,2052, 5,116,0,0,2051,2038,1,0,0,0,2051,2047,1,0,0,0,2052,300,1,0,0,0,2053, 2054,5,111,0,0,2054,2055,5,118,0,0,2055,2056,5,101,0,0,2056,2057, 5,114,0,0,2057,2058,5,108,0,0,2058,2059,5,97,0,0,2059,2060,5,121, 0,0,2060,302,1,0,0,0,2061,2062,5,98,0,0,2062,2063,5,108,0,0,2063, 2064,5,101,0,0,2064,2065,5,110,0,0,2065,2066,5,100,0,0,2066,304, 1,0,0,0,2067,2068,5,112,0,0,2068,2069,5,97,0,0,2069,2070,5,100,0, 0,2070,306,1,0,0,0,2071,2072,5,99,0,0,2072,2073,5,114,0,0,2073,2074, 5,111,0,0,2074,2075,5,115,0,0,2075,2076,5,115,0,0,2076,308,1,0,0, 0,2077,2078,5,109,0,0,2078,2079,5,97,0,0,2079,2080,5,116,0,0,2080, 2081,5,109,0,0,2081,2082,5,117,0,0,2082,2083,5,108,0,0,2083,310, 1,0,0,0,2084,2085,5,115,0,0,2085,2086,5,111,0,0,2086,2087,5,108, 0,0,2087,2088,5,118,0,0,2088,2089,5,101,0,0,2089,312,1,0,0,0,2090, 2091,5,109,0,0,2091,2092,5,97,0,0,2092,2093,5,116,0,0,2093,2094, 5,114,0,0,2094,2095,5,105,0,0,2095,2096,5,120,0,0,2096,2097,5,95, 0,0,2097,2098,5,114,0,0,2098,2099,5,97,0,0,2099,2100,5,110,0,0,2100, 2101,5,107,0,0,2101,314,1,0,0,0,2102,2103,5,114,0,0,2103,2104,5, 105,0,0,2104,2105,5,102,0,0,2105,2106,5,101,0,0,2106,316,1,0,0,0, 2107,2108,5,98,0,0,2108,2109,5,110,0,0,2109,2110,5,111,0,0,2110, 2123,5,116,0,0,2111,2112,5,98,0,0,2112,2113,5,105,0,0,2113,2114, 5,116,0,0,2114,2115,5,119,0,0,2115,2116,5,105,0,0,2116,2117,5,115, 0,0,2117,2118,5,101,0,0,2118,2119,5,95,0,0,2119,2120,5,110,0,0,2120, 2121,5,111,0,0,2121,2123,5,116,0,0,2122,2107,1,0,0,0,2122,2111,1, 0,0,0,2123,318,1,0,0,0,2124,2125,5,98,0,0,2125,2126,5,105,0,0,2126, 2127,5,116,0,0,2127,2128,5,99,0,0,2128,2129,5,111,0,0,2129,2130, 5,117,0,0,2130,2131,5,110,0,0,2131,2147,5,116,0,0,2132,2133,5,112, 0,0,2133,2134,5,111,0,0,2134,2135,5,112,0,0,2135,2136,5,99,0,0,2136, 2137,5,111,0,0,2137,2138,5,117,0,0,2138,2139,5,110,0,0,2139,2147, 5,116,0,0,2140,2141,5,112,0,0,2141,2142,5,111,0,0,2142,2143,5,112, 0,0,2143,2144,5,99,0,0,2144,2145,5,110,0,0,2145,2147,5,116,0,0,2146, 2124,1,0,0,0,2146,2132,1,0,0,0,2146,2140,1,0,0,0,2147,320,1,0,0, 0,2148,2149,5,115,0,0,2149,2150,5,104,0,0,2150,2151,5,97,0,0,2151, 2152,5,112,0,0,2152,2153,5,101,0,0,2153,322,1,0,0,0,2154,2155,5, 98,0,0,2155,2156,5,97,0,0,2156,2157,5,110,0,0,2157,2170,5,100,0, 0,2158,2159,5,98,0,0,2159,2160,5,105,0,0,2160,2161,5,116,0,0,2161, 2162,5,119,0,0,2162,2163,5,105,0,0,2163,2164,5,115,0,0,2164,2165, 5,101,0,0,2165,2166,5,95,0,0,2166,2167,5,97,0,0,2167,2168,5,110, 0,0,2168,2170,5,100,0,0,2169,2154,1,0,0,0,2169,2158,1,0,0,0,2170, 324,1,0,0,0,2171,2172,5,98,0,0,2172,2173,5,120,0,0,2173,2174,5,111, 0,0,2174,2187,5,114,0,0,2175,2176,5,98,0,0,2176,2177,5,105,0,0,2177, 2178,5,116,0,0,2178,2179,5,119,0,0,2179,2180,5,105,0,0,2180,2181, 5,115,0,0,2181,2182,5,101,0,0,2182,2183,5,95,0,0,2183,2184,5,120, 0,0,2184,2185,5,111,0,0,2185,2187,5,114,0,0,2186,2171,1,0,0,0,2186, 2175,1,0,0,0,2187,326,1,0,0,0,2188,2189,5,98,0,0,2189,2190,5,111, 0,0,2190,2202,5,114,0,0,2191,2192,5,98,0,0,2192,2193,5,105,0,0,2193, 2194,5,116,0,0,2194,2195,5,119,0,0,2195,2196,5,105,0,0,2196,2197, 5,115,0,0,2197,2198,5,101,0,0,2198,2199,5,95,0,0,2199,2200,5,111, 0,0,2200,2202,5,114,0,0,2201,2188,1,0,0,0,2201,2191,1,0,0,0,2202, 328,1,0,0,0,2203,2204,5,116,0,0,2204,2205,5,101,0,0,2205,2206,5, 110,0,0,2206,2207,5,115,0,0,2207,2208,5,111,0,0,2208,2209,5,114, 0,0,2209,330,1,0,0,0,2210,2211,5,122,0,0,2211,2212,5,101,0,0,2212, 2213,5,114,0,0,2213,2214,5,111,0,0,2214,2215,5,115,0,0,2215,332, 1,0,0,0,2216,2217,5,111,0,0,2217,2218,5,110,0,0,2218,2219,5,101, 0,0,2219,2220,5,115,0,0,2220,334,1,0,0,0,2221,2222,5,101,0,0,2222, 2223,5,121,0,0,2223,2224,5,101,0,0,2224,336,1,0,0,0,2225,2226,5, 111,0,0,2226,2227,5,110,0,0,2227,2228,5,101,0,0,2228,2229,5,95,0, 0,2229,2230,5,104,0,0,2230,2231,5,111,0,0,2231,2232,5,116,0,0,2232, 338,1,0,0,0,2233,2234,5,109,0,0,2234,2235,5,115,0,0,2235,2236,5, 101,0,0,2236,340,1,0,0,0,2237,2238,5,109,0,0,2238,2239,5,97,0,0, 2239,2240,5,101,0,0,2240,342,1,0,0,0,2241,2242,5,112,0,0,2242,2243, 5,115,0,0,2243,2244,5,110,0,0,2244,2245,5,114,0,0,2245,344,1,0,0, 0,2246,2247,5,119,0,0,2247,2248,5,101,0,0,2248,2249,5,105,0,0,2249, 2250,5,103,0,0,2250,2251,5,104,0,0,2251,2252,5,116,0,0,2252,2253, 5,101,0,0,2253,2254,5,100,0,0,2254,2255,5,95,0,0,2255,2256,5,109, 0,0,2256,2257,5,101,0,0,2257,2258,5,97,0,0,2258,2259,5,110,0,0,2259, 346,1,0,0,0,2260,2261,5,104,0,0,2261,2262,5,117,0,0,2262,2263,5, 98,0,0,2263,2264,5,101,0,0,2264,2265,5,114,0,0,2265,2266,5,95,0, 0,2266,2267,5,108,0,0,2267,2268,5,111,0,0,2268,2269,5,115,0,0,2269, 2270,5,115,0,0,2270,348,1,0,0,0,2271,2272,5,99,0,0,2272,2273,5,114, 0,0,2273,2274,5,111,0,0,2274,2275,5,115,0,0,2275,2276,5,115,0,0, 2276,2277,5,95,0,0,2277,2278,5,101,0,0,2278,2279,5,110,0,0,2279, 2280,5,116,0,0,2280,2281,5,114,0,0,2281,2282,5,111,0,0,2282,2283, 5,112,0,0,2283,2284,5,121,0,0,2284,350,1,0,0,0,2285,2286,5,97,0, 0,2286,2287,5,100,0,0,2287,2288,5,100,0,0,2288,2289,5,95,0,0,2289, 2290,5,107,0,0,2290,2291,5,101,0,0,2291,2292,5,121,0,0,2292,352, 1,0,0,0,2293,2294,5,114,0,0,2294,2295,5,101,0,0,2295,2296,5,109, 0,0,2296,2297,5,111,0,0,2297,2298,5,118,0,0,2298,2299,5,101,0,0, 2299,2300,5,95,0,0,2300,2301,5,107,0,0,2301,2302,5,101,0,0,2302, 2310,5,121,0,0,2303,2304,5,114,0,0,2304,2305,5,109,0,0,2305,2306, 5,95,0,0,2306,2307,5,107,0,0,2307,2308,5,101,0,0,2308,2310,5,121, 0,0,2309,2293,1,0,0,0,2309,2303,1,0,0,0,2310,354,1,0,0,0,2311,2312, 5,115,0,0,2312,2313,5,116,0,0,2313,2314,5,97,0,0,2314,2315,5,99, 0,0,2315,2316,5,107,0,0,2316,2317,5,95,0,0,2317,2318,5,112,0,0,2318, 2319,5,117,0,0,2319,2320,5,115,0,0,2320,2321,5,104,0,0,2321,356, 1,0,0,0,2322,2323,5,115,0,0,2323,2324,5,116,0,0,2324,2325,5,97,0, 0,2325,2326,5,99,0,0,2326,2327,5,107,0,0,2327,2328,5,95,0,0,2328, 2329,5,112,0,0,2329,2330,5,111,0,0,2330,2331,5,112,0,0,2331,358, 1,0,0,0,2332,2333,5,115,0,0,2333,2334,5,116,0,0,2334,2335,5,97,0, 0,2335,2336,5,99,0,0,2336,2337,5,107,0,0,2337,2338,5,95,0,0,2338, 2339,5,99,0,0,2339,2340,5,108,0,0,2340,2341,5,101,0,0,2341,2342, 5,97,0,0,2342,2343,5,114,0,0,2343,360,1,0,0,0,2344,2345,5,115,0, 0,2345,2346,5,116,0,0,2346,2347,5,97,0,0,2347,2348,5,99,0,0,2348, 2349,5,107,0,0,2349,2350,5,95,0,0,2350,2351,5,104,0,0,2351,2352, 5,97,0,0,2352,2353,5,115,0,0,2353,362,1,0,0,0,2354,2355,5,115,0, 0,2355,2356,5,116,0,0,2356,2357,5,97,0,0,2357,2358,5,99,0,0,2358, 2359,5,107,0,0,2359,2360,5,95,0,0,2360,2361,5,103,0,0,2361,2362, 5,101,0,0,2362,2363,5,116,0,0,2363,364,1,0,0,0,2364,2365,5,99,0, 0,2365,2366,5,97,0,0,2366,2385,5,116,0,0,2367,2368,5,99,0,0,2368, 2369,5,111,0,0,2369,2370,5,110,0,0,2370,2371,5,99,0,0,2371,2372, 5,97,0,0,2372,2385,5,116,0,0,2373,2374,5,99,0,0,2374,2375,5,111, 0,0,2375,2376,5,110,0,0,2376,2377,5,99,0,0,2377,2378,5,97,0,0,2378, 2379,5,116,0,0,2379,2380,5,101,0,0,2380,2381,5,110,0,0,2381,2382, 5,97,0,0,2382,2383,5,116,0,0,2383,2385,5,101,0,0,2384,2364,1,0,0, 0,2384,2367,1,0,0,0,2384,2373,1,0,0,0,2385,366,1,0,0,0,2386,2387, 5,115,0,0,2387,2388,5,116,0,0,2388,2389,5,97,0,0,2389,2390,5,99, 0,0,2390,2391,5,107,0,0,2391,368,1,0,0,0,2392,2393,5,110,0,0,2393, 2394,5,111,0,0,2394,2395,5,110,0,0,2395,2396,5,122,0,0,2396,2397, 5,101,0,0,2397,2398,5,114,0,0,2398,2399,5,111,0,0,2399,370,1,0,0, 0,2400,2401,5,105,0,0,2401,2402,5,110,0,0,2402,2403,5,116,0,0,2403, 372,1,0,0,0,2404,2405,5,102,0,0,2405,2406,5,108,0,0,2406,2407,5, 111,0,0,2407,2408,5,97,0,0,2408,2409,5,116,0,0,2409,374,1,0,0,0, 2410,2411,5,117,0,0,2411,2412,5,112,0,0,2412,2413,5,112,0,0,2413, 2414,5,101,0,0,2414,2415,5,114,0,0,2415,376,1,0,0,0,2416,2417,5, 108,0,0,2417,2418,5,111,0,0,2418,2419,5,119,0,0,2419,2420,5,101, 0,0,2420,2421,5,114,0,0,2421,378,1,0,0,0,2422,2423,5,116,0,0,2423, 2424,5,114,0,0,2424,2425,5,105,0,0,2425,2426,5,109,0,0,2426,380, 1,0,0,0,2427,2428,5,115,0,0,2428,2429,5,112,0,0,2429,2430,5,108, 0,0,2430,2431,5,105,0,0,2431,2432,5,116,0,0,2432,382,1,0,0,0,2433, 2434,5,106,0,0,2434,2435,5,111,0,0,2435,2436,5,105,0,0,2436,2437, 5,110,0,0,2437,384,1,0,0,0,2438,2439,5,115,0,0,2439,2440,5,117,0, 0,2440,2441,5,98,0,0,2441,2442,5,115,0,0,2442,2443,5,116,0,0,2443, 2444,5,114,0,0,2444,2445,5,105,0,0,2445,2446,5,110,0,0,2446,2454, 5,103,0,0,2447,2448,5,115,0,0,2448,2449,5,117,0,0,2449,2450,5,98, 0,0,2450,2451,5,115,0,0,2451,2452,5,116,0,0,2452,2454,5,114,0,0, 2453,2438,1,0,0,0,2453,2447,1,0,0,0,2454,386,1,0,0,0,2455,2456,5, 102,0,0,2456,2457,5,105,0,0,2457,2458,5,110,0,0,2458,2459,5,100, 0,0,2459,388,1,0,0,0,2460,2461,5,114,0,0,2461,2462,5,101,0,0,2462, 2463,5,112,0,0,2463,2464,5,108,0,0,2464,2465,5,97,0,0,2465,2466, 5,99,0,0,2466,2467,5,101,0,0,2467,390,1,0,0,0,2468,2469,5,114,0, 0,2469,2470,5,101,0,0,2470,2471,5,103,0,0,2471,2472,5,101,0,0,2472, 2473,5,120,0,0,2473,2474,5,95,0,0,2474,2475,5,115,0,0,2475,2476, 5,101,0,0,2476,2477,5,97,0,0,2477,2478,5,114,0,0,2478,2479,5,99, 0,0,2479,2480,5,104,0,0,2480,392,1,0,0,0,2481,2482,5,114,0,0,2482, 2483,5,101,0,0,2483,2484,5,103,0,0,2484,2485,5,101,0,0,2485,2486, 5,120,0,0,2486,2487,5,95,0,0,2487,2488,5,114,0,0,2488,2489,5,101, 0,0,2489,2490,5,112,0,0,2490,2491,5,108,0,0,2491,2492,5,97,0,0,2492, 2493,5,99,0,0,2493,2494,5,101,0,0,2494,394,1,0,0,0,2495,2496,5,102, 0,0,2496,2497,5,111,0,0,2497,2498,5,114,0,0,2498,2499,5,109,0,0, 2499,2500,5,97,0,0,2500,2501,5,116,0,0,2501,396,1,0,0,0,2502,2503, 5,116,0,0,2503,2504,5,111,0,0,2504,2505,5,95,0,0,2505,2506,5,106, 0,0,2506,2507,5,115,0,0,2507,2508,5,111,0,0,2508,2521,5,110,0,0, 2509,2510,5,106,0,0,2510,2511,5,115,0,0,2511,2512,5,111,0,0,2512, 2513,5,110,0,0,2513,2514,5,95,0,0,2514,2515,5,101,0,0,2515,2516, 5,110,0,0,2516,2517,5,99,0,0,2517,2518,5,111,0,0,2518,2519,5,100, 0,0,2519,2521,5,101,0,0,2520,2502,1,0,0,0,2520,2509,1,0,0,0,2521, 398,1,0,0,0,2522,2523,5,102,0,0,2523,2524,5,114,0,0,2524,2525,5, 111,0,0,2525,2526,5,109,0,0,2526,2527,5,95,0,0,2527,2528,5,106,0, 0,2528,2529,5,115,0,0,2529,2530,5,111,0,0,2530,2543,5,110,0,0,2531, 2532,5,106,0,0,2532,2533,5,115,0,0,2533,2534,5,111,0,0,2534,2535, 5,110,0,0,2535,2536,5,95,0,0,2536,2537,5,100,0,0,2537,2538,5,101, 0,0,2538,2539,5,99,0,0,2539,2540,5,111,0,0,2540,2541,5,100,0,0,2541, 2543,5,101,0,0,2542,2522,1,0,0,0,2542,2531,1,0,0,0,2543,400,1,0, 0,0,2544,2545,5,100,0,0,2545,2546,5,105,0,0,2546,2547,5,108,0,0, 2547,2548,5,97,0,0,2548,2549,5,116,0,0,2549,2550,5,101,0,0,2550, 402,1,0,0,0,2551,2552,5,101,0,0,2552,2553,5,114,0,0,2553,2554,5, 111,0,0,2554,2555,5,100,0,0,2555,2556,5,101,0,0,2556,404,1,0,0,0, 2557,2558,5,109,0,0,2558,2559,5,111,0,0,2559,2560,5,114,0,0,2560, 2561,5,112,0,0,2561,2562,5,104,0,0,2562,2563,5,95,0,0,2563,2564, 5,111,0,0,2564,2565,5,112,0,0,2565,2566,5,101,0,0,2566,2567,5,110, 0,0,2567,406,1,0,0,0,2568,2569,5,109,0,0,2569,2570,5,111,0,0,2570, 2571,5,114,0,0,2571,2572,5,112,0,0,2572,2573,5,104,0,0,2573,2574, 5,95,0,0,2574,2575,5,99,0,0,2575,2576,5,108,0,0,2576,2577,5,111, 0,0,2577,2578,5,115,0,0,2578,2579,5,101,0,0,2579,408,1,0,0,0,2580, 2581,5,114,0,0,2581,2582,5,103,0,0,2582,2583,5,98,0,0,2583,2584, 5,95,0,0,2584,2585,5,116,0,0,2585,2586,5,111,0,0,2586,2587,5,95, 0,0,2587,2588,5,111,0,0,2588,2589,5,107,0,0,2589,2590,5,108,0,0, 2590,2591,5,97,0,0,2591,2592,5,98,0,0,2592,410,1,0,0,0,2593,2594, 5,108,0,0,2594,2595,5,117,0,0,2595,2596,5,109,0,0,2596,2597,5,105, 0,0,2597,2598,5,110,0,0,2598,2599,5,97,0,0,2599,2600,5,110,0,0,2600, 2601,5,99,0,0,2601,2602,5,101,0,0,2602,412,1,0,0,0,2603,2604,5,114, 0,0,2604,2605,5,103,0,0,2605,2606,5,98,0,0,2606,2607,5,95,0,0,2607, 2608,5,116,0,0,2608,2609,5,111,0,0,2609,2610,5,95,0,0,2610,2611, 5,99,0,0,2611,2612,5,105,0,0,2612,2613,5,101,0,0,2613,2614,5,108, 0,0,2614,2615,5,97,0,0,2615,2616,5,98,0,0,2616,414,1,0,0,0,2617, 2618,5,111,0,0,2618,2619,5,107,0,0,2619,2620,5,108,0,0,2620,2621, 5,97,0,0,2621,2622,5,98,0,0,2622,2623,5,95,0,0,2623,2624,5,116,0, 0,2624,2625,5,111,0,0,2625,2626,5,95,0,0,2626,2627,5,114,0,0,2627, 2628,5,103,0,0,2628,2629,5,98,0,0,2629,416,1,0,0,0,2630,2631,5,99, 0,0,2631,2632,5,105,0,0,2632,2633,5,101,0,0,2633,2634,5,108,0,0, 2634,2635,5,97,0,0,2635,2636,5,98,0,0,2636,2637,5,95,0,0,2637,2638, 5,116,0,0,2638,2639,5,111,0,0,2639,2640,5,95,0,0,2640,2641,5,114, 0,0,2641,2642,5,103,0,0,2642,2643,5,98,0,0,2643,418,1,0,0,0,2644, 2645,5,114,0,0,2645,2646,5,103,0,0,2646,2647,5,98,0,0,2647,2648, 5,95,0,0,2648,2649,5,116,0,0,2649,2650,5,111,0,0,2650,2651,5,95, 0,0,2651,2652,5,104,0,0,2652,2653,5,115,0,0,2653,2654,5,118,0,0, 2654,420,1,0,0,0,2655,2656,5,104,0,0,2656,2657,5,115,0,0,2657,2658, 5,118,0,0,2658,2659,5,95,0,0,2659,2660,5,116,0,0,2660,2661,5,111, 0,0,2661,2662,5,95,0,0,2662,2663,5,114,0,0,2663,2664,5,103,0,0,2664, 2665,5,98,0,0,2665,422,1,0,0,0,2666,2667,5,105,0,0,2667,2668,5,110, 0,0,2668,2669,5,116,0,0,2669,2670,5,95,0,0,2670,2671,5,116,0,0,2671, 2672,5,111,0,0,2672,2673,5,95,0,0,2673,2674,5,114,0,0,2674,2675, 5,103,0,0,2675,2676,5,98,0,0,2676,424,1,0,0,0,2677,2678,5,114,0, 0,2678,2679,5,103,0,0,2679,2680,5,98,0,0,2680,2681,5,95,0,0,2681, 2682,5,116,0,0,2682,2683,5,111,0,0,2683,2684,5,95,0,0,2684,2685, 5,105,0,0,2685,2686,5,110,0,0,2686,2687,5,116,0,0,2687,426,1,0,0, 0,2688,2689,5,105,0,0,2689,2690,5,110,0,0,2690,2691,5,116,0,0,2691, 2692,5,101,0,0,2692,2693,5,114,0,0,2693,2694,5,112,0,0,2694,2695, 5,111,0,0,2695,2696,5,108,0,0,2696,2697,5,97,0,0,2697,2698,5,116, 0,0,2698,2699,5,101,0,0,2699,2700,5,95,0,0,2700,2701,5,108,0,0,2701, 2702,5,105,0,0,2702,2703,5,110,0,0,2703,2704,5,101,0,0,2704,2705, 5,97,0,0,2705,2706,5,114,0,0,2706,428,1,0,0,0,2707,2708,5,105,0, 0,2708,2709,5,110,0,0,2709,2710,5,116,0,0,2710,2711,5,101,0,0,2711, 2712,5,114,0,0,2712,2713,5,112,0,0,2713,2714,5,111,0,0,2714,2715, 5,108,0,0,2715,2716,5,97,0,0,2716,2717,5,116,0,0,2717,2718,5,101, 0,0,2718,2719,5,95,0,0,2719,2720,5,97,0,0,2720,2721,5,114,0,0,2721, 2722,5,101,0,0,2722,2723,5,97,0,0,2723,430,1,0,0,0,2724,2725,5,105, 0,0,2725,2726,5,110,0,0,2726,2727,5,116,0,0,2727,2728,5,101,0,0, 2728,2729,5,114,0,0,2729,2730,5,112,0,0,2730,2731,5,111,0,0,2731, 2732,5,108,0,0,2732,2733,5,97,0,0,2733,2734,5,116,0,0,2734,2735, 5,101,0,0,2735,2736,5,95,0,0,2736,2737,5,110,0,0,2737,2738,5,101, 0,0,2738,2739,5,97,0,0,2739,2740,5,114,0,0,2740,2741,5,101,0,0,2741, 2742,5,115,0,0,2742,2769,5,116,0,0,2743,2744,5,105,0,0,2744,2745, 5,110,0,0,2745,2746,5,116,0,0,2746,2747,5,101,0,0,2747,2748,5,114, 0,0,2748,2749,5,112,0,0,2749,2750,5,111,0,0,2750,2751,5,108,0,0, 2751,2752,5,97,0,0,2752,2753,5,116,0,0,2753,2754,5,101,0,0,2754, 2755,5,95,0,0,2755,2756,5,110,0,0,2756,2757,5,101,0,0,2757,2758, 5,97,0,0,2758,2759,5,114,0,0,2759,2760,5,101,0,0,2760,2761,5,115, 0,0,2761,2762,5,116,0,0,2762,2763,5,95,0,0,2763,2764,5,101,0,0,2764, 2765,5,120,0,0,2765,2766,5,97,0,0,2766,2767,5,99,0,0,2767,2769,5, 116,0,0,2768,2724,1,0,0,0,2768,2743,1,0,0,0,2769,432,1,0,0,0,2770, 2771,5,116,0,0,2771,2772,5,101,0,0,2772,2773,5,120,0,0,2773,2774, 5,116,0,0,2774,2775,5,95,0,0,2775,2776,5,105,0,0,2776,2777,5,109, 0,0,2777,2778,5,97,0,0,2778,2779,5,103,0,0,2779,2780,5,101,0,0,2780, 434,1,0,0,0,2781,2782,5,97,0,0,2782,2783,5,115,0,0,2783,2784,5,95, 0,0,2784,2785,5,110,0,0,2785,2786,5,101,0,0,2786,2787,5,115,0,0, 2787,2788,5,116,0,0,2788,2789,5,101,0,0,2789,2790,5,100,0,0,2790, 2791,5,95,0,0,2791,2792,5,116,0,0,2792,2793,5,101,0,0,2793,2794, 5,110,0,0,2794,2795,5,115,0,0,2795,2796,5,111,0,0,2796,2807,5,114, 0,0,2797,2798,5,97,0,0,2798,2799,5,115,0,0,2799,2800,5,95,0,0,2800, 2801,5,110,0,0,2801,2802,5,101,0,0,2802,2803,5,115,0,0,2803,2804, 5,116,0,0,2804,2805,5,101,0,0,2805,2807,5,100,0,0,2806,2781,1,0, 0,0,2806,2797,1,0,0,0,2807,436,1,0,0,0,2808,2809,5,115,0,0,2809, 2810,5,118,0,0,2810,2840,5,100,0,0,2811,2812,5,115,0,0,2812,2813, 5,105,0,0,2813,2814,5,110,0,0,2814,2815,5,103,0,0,2815,2816,5,117, 0,0,2816,2817,5,108,0,0,2817,2818,5,97,0,0,2818,2819,5,114,0,0,2819, 2820,5,95,0,0,2820,2821,5,118,0,0,2821,2822,5,97,0,0,2822,2823,5, 108,0,0,2823,2824,5,117,0,0,2824,2825,5,101,0,0,2825,2826,5,95,0, 0,2826,2827,5,100,0,0,2827,2828,5,101,0,0,2828,2829,5,99,0,0,2829, 2830,5,111,0,0,2830,2831,5,109,0,0,2831,2832,5,112,0,0,2832,2833, 5,111,0,0,2833,2834,5,115,0,0,2834,2835,5,105,0,0,2835,2836,5,116, 0,0,2836,2837,5,105,0,0,2837,2838,5,111,0,0,2838,2840,5,110,0,0, 2839,2808,1,0,0,0,2839,2811,1,0,0,0,2840,438,1,0,0,0,2841,2842,5, 100,0,0,2842,2843,5,105,0,0,2843,2844,5,97,0,0,2844,2845,5,103,0, 0,2845,2846,5,111,0,0,2846,2847,5,110,0,0,2847,2848,5,97,0,0,2848, 2849,5,108,0,0,2849,2850,5,95,0,0,2850,2851,5,109,0,0,2851,2852, 5,97,0,0,2852,2853,5,116,0,0,2853,2854,5,114,0,0,2854,2855,5,105, 0,0,2855,2861,5,120,0,0,2856,2857,5,100,0,0,2857,2858,5,105,0,0, 2858,2859,5,97,0,0,2859,2861,5,103,0,0,2860,2841,1,0,0,0,2860,2856, 1,0,0,0,2861,440,1,0,0,0,2862,2863,5,105,0,0,2863,2864,5,102,0,0, 2864,442,1,0,0,0,2865,2866,5,101,0,0,2866,2867,5,108,0,0,2867,2868, 5,115,0,0,2868,2869,5,101,0,0,2869,444,1,0,0,0,2870,2871,5,119,0, 0,2871,2872,5,104,0,0,2872,2873,5,105,0,0,2873,2874,5,108,0,0,2874, 2875,5,101,0,0,2875,446,1,0,0,0,2876,2877,5,102,0,0,2877,2878,5, 111,0,0,2878,2879,5,114,0,0,2879,448,1,0,0,0,2880,2881,5,105,0,0, 2881,2882,5,110,0,0,2882,450,1,0,0,0,2883,2884,5,98,0,0,2884,2885, 5,114,0,0,2885,2886,5,101,0,0,2886,2887,5,97,0,0,2887,2888,5,107, 0,0,2888,452,1,0,0,0,2889,2890,5,99,0,0,2890,2891,5,111,0,0,2891, 2892,5,110,0,0,2892,2893,5,116,0,0,2893,2894,5,105,0,0,2894,2895, 5,110,0,0,2895,2896,5,117,0,0,2896,2897,5,101,0,0,2897,454,1,0,0, 0,2898,2899,5,114,0,0,2899,2900,5,101,0,0,2900,2901,5,116,0,0,2901, 2902,5,117,0,0,2902,2903,5,114,0,0,2903,2904,5,110,0,0,2904,456, 1,0,0,0,2905,2906,5,116,0,0,2906,2907,5,105,0,0,2907,2908,5,109, 0,0,2908,2909,5,101,0,0,2909,2910,5,115,0,0,2910,2911,5,116,0,0, 2911,2912,5,97,0,0,2912,2913,5,109,0,0,2913,2918,5,112,0,0,2914, 2915,5,110,0,0,2915,2916,5,111,0,0,2916,2918,5,119,0,0,2917,2905, 1,0,0,0,2917,2914,1,0,0,0,2918,458,1,0,0,0,2919,2920,5,115,0,0,2920, 2921,5,111,0,0,2921,2922,5,114,0,0,2922,2923,5,116,0,0,2923,460, 1,0,0,0,2924,2925,5,97,0,0,2925,2926,5,114,0,0,2926,2927,5,103,0, 0,2927,2928,5,115,0,0,2928,2929,5,111,0,0,2929,2930,5,114,0,0,2930, 2931,5,116,0,0,2931,462,1,0,0,0,2932,2933,5,97,0,0,2933,2934,5,114, 0,0,2934,2935,5,103,0,0,2935,2936,5,109,0,0,2936,2937,5,105,0,0, 2937,2938,5,110,0,0,2938,464,1,0,0,0,2939,2940,5,97,0,0,2940,2941, 5,114,0,0,2941,2942,5,103,0,0,2942,2943,5,109,0,0,2943,2944,5,97, 0,0,2944,2945,5,120,0,0,2945,466,1,0,0,0,2946,2947,5,115,0,0,2947, 2948,5,111,0,0,2948,2949,5,102,0,0,2949,2950,5,116,0,0,2950,2951, 5,109,0,0,2951,2952,5,97,0,0,2952,2953,5,120,0,0,2953,468,1,0,0, 0,2954,2955,5,115,0,0,2955,2956,5,111,0,0,2956,2957,5,102,0,0,2957, 2958,5,116,0,0,2958,2959,5,109,0,0,2959,2960,5,105,0,0,2960,2961, 5,110,0,0,2961,470,1,0,0,0,2962,2963,5,117,0,0,2963,2964,5,110,0, 0,2964,2965,5,105,0,0,2965,2966,5,113,0,0,2966,2967,5,117,0,0,2967, 2968,5,101,0,0,2968,472,1,0,0,0,2969,2970,5,102,0,0,2970,2971,5, 108,0,0,2971,2972,5,105,0,0,2972,2973,5,112,0,0,2973,474,1,0,0,0, 2974,2975,5,115,0,0,2975,2976,5,116,0,0,2976,2977,5,97,0,0,2977, 2978,5,114,0,0,2978,2979,5,116,0,0,2979,2980,5,115,0,0,2980,2981, 5,119,0,0,2981,2982,5,105,0,0,2982,2983,5,116,0,0,2983,2984,5,104, 0,0,2984,476,1,0,0,0,2985,2986,5,101,0,0,2986,2987,5,110,0,0,2987, 2988,5,100,0,0,2988,2989,5,115,0,0,2989,2990,5,119,0,0,2990,2991, 5,105,0,0,2991,2992,5,116,0,0,2992,2993,5,104,0,0,2993,478,1,0,0, 0,2994,2995,5,115,0,0,2995,2996,5,113,0,0,2996,2997,5,117,0,0,2997, 2998,5,101,0,0,2998,2999,5,101,0,0,2999,3000,5,122,0,0,3000,3001, 5,101,0,0,3001,480,1,0,0,0,3002,3003,5,117,0,0,3003,3004,5,110,0, 0,3004,3005,5,115,0,0,3005,3006,5,113,0,0,3006,3007,5,117,0,0,3007, 3008,5,101,0,0,3008,3009,5,101,0,0,3009,3010,5,122,0,0,3010,3011, 5,101,0,0,3011,482,1,0,0,0,3012,3013,5,114,0,0,3013,3014,5,111,0, 0,3014,3015,5,108,0,0,3015,3016,5,108,0,0,3016,484,1,0,0,0,3017, 3018,5,99,0,0,3018,3019,5,111,0,0,3019,3020,5,118,0,0,3020,486,1, 0,0,0,3021,3022,5,99,0,0,3022,3023,5,111,0,0,3023,3024,5,114,0,0, 3024,3037,5,114,0,0,3025,3026,5,99,0,0,3026,3027,5,111,0,0,3027, 3028,5,114,0,0,3028,3029,5,114,0,0,3029,3030,5,101,0,0,3030,3031, 5,108,0,0,3031,3032,5,97,0,0,3032,3033,5,116,0,0,3033,3034,5,105, 0,0,3034,3035,5,111,0,0,3035,3037,5,110,0,0,3036,3021,1,0,0,0,3036, 3025,1,0,0,0,3037,488,1,0,0,0,3038,3039,5,101,0,0,3039,3040,5,110, 0,0,3040,3041,5,116,0,0,3041,3042,5,114,0,0,3042,3043,5,111,0,0, 3043,3044,5,112,0,0,3044,3045,5,121,0,0,3045,490,1,0,0,0,3046,3047, 5,99,0,0,3047,3048,5,114,0,0,3048,3049,5,111,0,0,3049,3050,5,112, 0,0,3050,492,1,0,0,0,3051,3052,5,110,0,0,3052,3053,5,111,0,0,3053, 3054,5,110,0,0,3054,3068,5,101,0,0,3055,3056,5,78,0,0,3056,3057, 5,111,0,0,3057,3058,5,110,0,0,3058,3068,5,101,0,0,3059,3060,5,110, 0,0,3060,3061,5,117,0,0,3061,3062,5,108,0,0,3062,3068,5,108,0,0, 3063,3064,5,78,0,0,3064,3065,5,85,0,0,3065,3066,5,76,0,0,3066,3068, 5,76,0,0,3067,3051,1,0,0,0,3067,3055,1,0,0,0,3067,3059,1,0,0,0,3067, 3063,1,0,0,0,3068,494,1,0,0,0,3069,3070,5,99,0,0,3070,3071,5,111, 0,0,3071,3072,5,111,0,0,3072,3073,5,114,0,0,3073,3074,5,100,0,0, 3074,3087,5,115,0,0,3075,3076,5,99,0,0,3076,3077,5,111,0,0,3077, 3078,5,111,0,0,3078,3079,5,114,0,0,3079,3080,5,100,0,0,3080,3081, 5,105,0,0,3081,3082,5,110,0,0,3082,3083,5,97,0,0,3083,3084,5,116, 0,0,3084,3085,5,101,0,0,3085,3087,5,115,0,0,3086,3069,1,0,0,0,3086, 3075,1,0,0,0,3087,496,1,0,0,0,3088,3089,5,103,0,0,3089,3090,5,97, 0,0,3090,3091,5,116,0,0,3091,3092,5,104,0,0,3092,3093,5,101,0,0, 3093,3094,5,114,0,0,3094,498,1,0,0,0,3095,3096,5,115,0,0,3096,3097, 5,99,0,0,3097,3098,5,97,0,0,3098,3099,5,116,0,0,3099,3100,5,116, 0,0,3100,3101,5,101,0,0,3101,3102,5,114,0,0,3102,500,1,0,0,0,3103, 3104,5,115,0,0,3104,3105,5,99,0,0,3105,3106,5,97,0,0,3106,3107,5, 116,0,0,3107,3108,5,116,0,0,3108,3109,5,101,0,0,3109,3110,5,114, 0,0,3110,3111,5,95,0,0,3111,3112,5,97,0,0,3112,3113,5,100,0,0,3113, 3114,5,100,0,0,3114,502,1,0,0,0,3115,3116,5,110,0,0,3116,3117,5, 111,0,0,3117,3118,5,105,0,0,3118,3119,5,115,0,0,3119,3139,5,101, 0,0,3120,3121,5,114,0,0,3121,3122,5,97,0,0,3122,3123,5,110,0,0,3123, 3124,5,100,0,0,3124,3139,5,110,0,0,3125,3126,5,114,0,0,3126,3127, 5,97,0,0,3127,3128,5,110,0,0,3128,3129,5,100,0,0,3129,3130,5,111, 0,0,3130,3131,5,109,0,0,3131,3132,5,95,0,0,3132,3133,5,110,0,0,3133, 3134,5,111,0,0,3134,3135,5,114,0,0,3135,3136,5,109,0,0,3136,3137, 5,97,0,0,3137,3139,5,108,0,0,3138,3115,1,0,0,0,3138,3120,1,0,0,0, 3138,3125,1,0,0,0,3139,504,1,0,0,0,3140,3141,5,112,0,0,3141,3142, 5,105,0,0,3142,3143,5,110,0,0,3143,3144,5,107,0,0,3144,3145,5,95, 0,0,3145,3146,5,110,0,0,3146,3147,5,111,0,0,3147,3148,5,105,0,0, 3148,3149,5,115,0,0,3149,3155,5,101,0,0,3150,3151,5,112,0,0,3151, 3152,5,105,0,0,3152,3153,5,110,0,0,3153,3155,5,107,0,0,3154,3140, 1,0,0,0,3154,3150,1,0,0,0,3155,506,1,0,0,0,3156,3157,5,98,0,0,3157, 3158,5,114,0,0,3158,3159,5,111,0,0,3159,3160,5,119,0,0,3160,3161, 5,110,0,0,3161,3162,5,95,0,0,3162,3163,5,110,0,0,3163,3164,5,111, 0,0,3164,3165,5,105,0,0,3165,3166,5,115,0,0,3166,3173,5,101,0,0, 3167,3168,5,98,0,0,3168,3169,5,114,0,0,3169,3170,5,111,0,0,3170, 3171,5,119,0,0,3171,3173,5,110,0,0,3172,3156,1,0,0,0,3172,3167,1, 0,0,0,3173,508,1,0,0,0,3174,3175,5,114,0,0,3175,3176,5,97,0,0,3176, 3177,5,110,0,0,3177,3198,5,100,0,0,3178,3179,5,114,0,0,3179,3180, 5,97,0,0,3180,3181,5,110,0,0,3181,3182,5,100,0,0,3182,3198,5,117, 0,0,3183,3184,5,114,0,0,3184,3185,5,97,0,0,3185,3186,5,110,0,0,3186, 3187,5,100,0,0,3187,3188,5,111,0,0,3188,3189,5,109,0,0,3189,3190, 5,95,0,0,3190,3191,5,117,0,0,3191,3192,5,110,0,0,3192,3193,5,105, 0,0,3193,3194,5,102,0,0,3194,3195,5,111,0,0,3195,3196,5,114,0,0, 3196,3198,5,109,0,0,3197,3174,1,0,0,0,3197,3178,1,0,0,0,3197,3183, 1,0,0,0,3198,510,1,0,0,0,3199,3200,5,114,0,0,3200,3201,5,97,0,0, 3201,3202,5,110,0,0,3202,3203,5,100,0,0,3203,3218,5,99,0,0,3204, 3205,5,114,0,0,3205,3206,5,97,0,0,3206,3207,5,110,0,0,3207,3208, 5,100,0,0,3208,3209,5,111,0,0,3209,3210,5,109,0,0,3210,3211,5,95, 0,0,3211,3212,5,99,0,0,3212,3213,5,97,0,0,3213,3214,5,117,0,0,3214, 3215,5,99,0,0,3215,3216,5,104,0,0,3216,3218,5,121,0,0,3217,3199, 1,0,0,0,3217,3204,1,0,0,0,3218,512,1,0,0,0,3219,3220,5,114,0,0,3220, 3221,5,97,0,0,3221,3222,5,110,0,0,3222,3223,5,100,0,0,3223,3243, 5,101,0,0,3224,3225,5,114,0,0,3225,3226,5,97,0,0,3226,3227,5,110, 0,0,3227,3228,5,100,0,0,3228,3229,5,111,0,0,3229,3230,5,109,0,0, 3230,3231,5,95,0,0,3231,3232,5,101,0,0,3232,3233,5,120,0,0,3233, 3234,5,112,0,0,3234,3235,5,111,0,0,3235,3236,5,110,0,0,3236,3237, 5,101,0,0,3237,3238,5,110,0,0,3238,3239,5,116,0,0,3239,3240,5,105, 0,0,3240,3241,5,97,0,0,3241,3243,5,108,0,0,3242,3219,1,0,0,0,3242, 3224,1,0,0,0,3243,514,1,0,0,0,3244,3245,5,114,0,0,3245,3246,5,97, 0,0,3246,3247,5,110,0,0,3247,3248,5,100,0,0,3248,3249,5,108,0,0, 3249,3268,5,110,0,0,3250,3251,5,114,0,0,3251,3252,5,97,0,0,3252, 3253,5,110,0,0,3253,3254,5,100,0,0,3254,3255,5,111,0,0,3255,3256, 5,109,0,0,3256,3257,5,95,0,0,3257,3258,5,108,0,0,3258,3259,5,111, 0,0,3259,3260,5,103,0,0,3260,3261,5,95,0,0,3261,3262,5,110,0,0,3262, 3263,5,111,0,0,3263,3264,5,114,0,0,3264,3265,5,109,0,0,3265,3266, 5,97,0,0,3266,3268,5,108,0,0,3267,3244,1,0,0,0,3267,3250,1,0,0,0, 3268,516,1,0,0,0,3269,3270,5,114,0,0,3270,3271,5,97,0,0,3271,3272, 5,110,0,0,3272,3273,5,100,0,0,3273,3291,5,98,0,0,3274,3275,5,114, 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, 5,98,0,0,3282,3283,5,101,0,0,3283,3284,5,114,0,0,3284,3285,5,110, 0,0,3285,3286,5,111,0,0,3286,3287,5,117,0,0,3287,3288,5,108,0,0, 3288,3289,5,108,0,0,3289,3291,5,105,0,0,3290,3269,1,0,0,0,3290,3274, 1,0,0,0,3291,518,1,0,0,0,3292,3293,5,114,0,0,3293,3294,5,97,0,0, 3294,3295,5,110,0,0,3295,3296,5,100,0,0,3296,3297,5,98,0,0,3297, 3298,5,105,0,0,3298,3315,5,110,0,0,3299,3300,5,114,0,0,3300,3301, 5,97,0,0,3301,3302,5,110,0,0,3302,3303,5,100,0,0,3303,3304,5,111, 0,0,3304,3305,5,109,0,0,3305,3306,5,95,0,0,3306,3307,5,98,0,0,3307, 3308,5,105,0,0,3308,3309,5,110,0,0,3309,3310,5,111,0,0,3310,3311, 5,109,0,0,3311,3312,5,105,0,0,3312,3313,5,97,0,0,3313,3315,5,108, 0,0,3314,3292,1,0,0,0,3314,3299,1,0,0,0,3315,520,1,0,0,0,3316,3317, 5,114,0,0,3317,3318,5,97,0,0,3318,3319,5,110,0,0,3319,3320,5,100, 0,0,3320,3336,5,112,0,0,3321,3322,5,114,0,0,3322,3323,5,97,0,0,3323, 3324,5,110,0,0,3324,3325,5,100,0,0,3325,3326,5,111,0,0,3326,3327, 5,109,0,0,3327,3328,5,95,0,0,3328,3329,5,112,0,0,3329,3330,5,111, 0,0,3330,3331,5,105,0,0,3331,3332,5,115,0,0,3332,3333,5,115,0,0, 3333,3334,5,111,0,0,3334,3336,5,110,0,0,3335,3316,1,0,0,0,3335,3321, 1,0,0,0,3336,522,1,0,0,0,3337,3338,5,114,0,0,3338,3339,5,97,0,0, 3339,3340,5,110,0,0,3340,3341,5,100,0,0,3341,3355,5,103,0,0,3342, 3343,5,114,0,0,3343,3344,5,97,0,0,3344,3345,5,110,0,0,3345,3346, 5,100,0,0,3346,3347,5,111,0,0,3347,3348,5,109,0,0,3348,3349,5,95, 0,0,3349,3350,5,103,0,0,3350,3351,5,97,0,0,3351,3352,5,109,0,0,3352, 3353,5,109,0,0,3353,3355,5,97,0,0,3354,3337,1,0,0,0,3354,3342,1, 0,0,0,3355,524,1,0,0,0,3356,3357,5,114,0,0,3357,3358,5,97,0,0,3358, 3359,5,110,0,0,3359,3360,5,100,0,0,3360,3361,5,98,0,0,3361,3362, 5,101,0,0,3362,3363,5,116,0,0,3363,3376,5,97,0,0,3364,3365,5,114, 0,0,3365,3366,5,97,0,0,3366,3367,5,110,0,0,3367,3368,5,100,0,0,3368, 3369,5,111,0,0,3369,3370,5,109,0,0,3370,3371,5,95,0,0,3371,3372, 5,98,0,0,3372,3373,5,101,0,0,3373,3374,5,116,0,0,3374,3376,5,97, 0,0,3375,3356,1,0,0,0,3375,3364,1,0,0,0,3376,526,1,0,0,0,3377,3378, 5,114,0,0,3378,3379,5,97,0,0,3379,3380,5,110,0,0,3380,3381,5,100, 0,0,3381,3397,5,108,0,0,3382,3383,5,114,0,0,3383,3384,5,97,0,0,3384, 3385,5,110,0,0,3385,3386,5,100,0,0,3386,3387,5,111,0,0,3387,3388, 5,109,0,0,3388,3389,5,95,0,0,3389,3390,5,108,0,0,3390,3391,5,97, 0,0,3391,3392,5,112,0,0,3392,3393,5,108,0,0,3393,3394,5,97,0,0,3394, 3395,5,99,0,0,3395,3397,5,101,0,0,3396,3377,1,0,0,0,3396,3382,1, 0,0,0,3397,528,1,0,0,0,3398,3399,5,114,0,0,3399,3400,5,97,0,0,3400, 3401,5,110,0,0,3401,3402,5,100,0,0,3402,3403,5,103,0,0,3403,3404, 5,117,0,0,3404,3405,5,109,0,0,3405,3406,5,98,0,0,3406,3407,5,101, 0,0,3407,3422,5,108,0,0,3408,3409,5,114,0,0,3409,3410,5,97,0,0,3410, 3411,5,110,0,0,3411,3412,5,100,0,0,3412,3413,5,111,0,0,3413,3414, 5,109,0,0,3414,3415,5,95,0,0,3415,3416,5,103,0,0,3416,3417,5,117, 0,0,3417,3418,5,109,0,0,3418,3419,5,98,0,0,3419,3420,5,101,0,0,3420, 3422,5,108,0,0,3421,3398,1,0,0,0,3421,3408,1,0,0,0,3422,530,1,0, 0,0,3423,3424,5,114,0,0,3424,3425,5,97,0,0,3425,3426,5,110,0,0,3426, 3427,5,100,0,0,3427,3443,5,119,0,0,3428,3429,5,114,0,0,3429,3430, 5,97,0,0,3430,3431,5,110,0,0,3431,3432,5,100,0,0,3432,3433,5,111, 0,0,3433,3434,5,109,0,0,3434,3435,5,95,0,0,3435,3436,5,119,0,0,3436, 3437,5,101,0,0,3437,3438,5,105,0,0,3438,3439,5,98,0,0,3439,3440, 5,117,0,0,3440,3441,5,108,0,0,3441,3443,5,108,0,0,3442,3423,1,0, 0,0,3442,3428,1,0,0,0,3443,532,1,0,0,0,3444,3445,5,114,0,0,3445, 3446,5,97,0,0,3446,3447,5,110,0,0,3447,3448,5,100,0,0,3448,3449, 5,99,0,0,3449,3450,5,104,0,0,3450,3451,5,105,0,0,3451,3464,5,50, 0,0,3452,3453,5,114,0,0,3453,3454,5,97,0,0,3454,3455,5,110,0,0,3455, 3456,5,100,0,0,3456,3457,5,111,0,0,3457,3458,5,109,0,0,3458,3459, 5,95,0,0,3459,3460,5,99,0,0,3460,3461,5,104,0,0,3461,3462,5,105, 0,0,3462,3464,5,50,0,0,3463,3444,1,0,0,0,3463,3452,1,0,0,0,3464, 534,1,0,0,0,3465,3466,5,114,0,0,3466,3467,5,97,0,0,3467,3468,5,110, 0,0,3468,3469,5,100,0,0,3469,3486,5,116,0,0,3470,3471,5,114,0,0, 3471,3472,5,97,0,0,3472,3473,5,110,0,0,3473,3474,5,100,0,0,3474, 3475,5,111,0,0,3475,3476,5,109,0,0,3476,3477,5,95,0,0,3477,3478, 5,115,0,0,3478,3479,5,116,0,0,3479,3480,5,117,0,0,3480,3481,5,100, 0,0,3481,3482,5,101,0,0,3482,3483,5,110,0,0,3483,3484,5,116,0,0, 3484,3486,5,116,0,0,3485,3465,1,0,0,0,3485,3470,1,0,0,0,3486,536, 1,0,0,0,3487,3488,5,112,0,0,3488,3489,5,101,0,0,3489,3490,5,114, 0,0,3490,3491,5,108,0,0,3491,3492,5,105,0,0,3492,3506,5,110,0,0, 3493,3494,5,112,0,0,3494,3495,5,101,0,0,3495,3496,5,114,0,0,3496, 3497,5,108,0,0,3497,3498,5,105,0,0,3498,3499,5,110,0,0,3499,3500, 5,95,0,0,3500,3501,5,110,0,0,3501,3502,5,111,0,0,3502,3503,5,105, 0,0,3503,3504,5,115,0,0,3504,3506,5,101,0,0,3505,3487,1,0,0,0,3505, 3493,1,0,0,0,3506,538,1,0,0,0,3507,3508,5,99,0,0,3508,3509,5,101, 0,0,3509,3510,5,108,0,0,3510,3511,5,108,0,0,3511,3512,5,117,0,0, 3512,3513,5,108,0,0,3513,3514,5,97,0,0,3514,3556,5,114,0,0,3515, 3516,5,118,0,0,3516,3517,5,111,0,0,3517,3518,5,114,0,0,3518,3519, 5,111,0,0,3519,3520,5,110,0,0,3520,3521,5,111,0,0,3521,3556,5,105, 0,0,3522,3523,5,119,0,0,3523,3524,5,111,0,0,3524,3525,5,114,0,0, 3525,3526,5,108,0,0,3526,3527,5,101,0,0,3527,3556,5,121,0,0,3528, 3529,5,99,0,0,3529,3530,5,101,0,0,3530,3531,5,108,0,0,3531,3532, 5,108,0,0,3532,3533,5,117,0,0,3533,3534,5,108,0,0,3534,3535,5,97, 0,0,3535,3536,5,114,0,0,3536,3537,5,95,0,0,3537,3538,5,110,0,0,3538, 3539,5,111,0,0,3539,3540,5,105,0,0,3540,3541,5,115,0,0,3541,3556, 5,101,0,0,3542,3543,5,118,0,0,3543,3544,5,111,0,0,3544,3545,5,114, 0,0,3545,3546,5,111,0,0,3546,3547,5,110,0,0,3547,3548,5,111,0,0, 3548,3549,5,105,0,0,3549,3550,5,95,0,0,3550,3551,5,110,0,0,3551, 3552,5,111,0,0,3552,3553,5,105,0,0,3553,3554,5,115,0,0,3554,3556, 5,101,0,0,3555,3507,1,0,0,0,3555,3515,1,0,0,0,3555,3522,1,0,0,0, 3555,3528,1,0,0,0,3555,3542,1,0,0,0,3556,540,1,0,0,0,3557,3558,5, 112,0,0,3558,3559,5,108,0,0,3559,3560,5,97,0,0,3560,3561,5,115,0, 0,3561,3562,5,109,0,0,3562,3586,5,97,0,0,3563,3564,5,116,0,0,3564, 3565,5,117,0,0,3565,3566,5,114,0,0,3566,3567,5,98,0,0,3567,3568, 5,117,0,0,3568,3569,5,108,0,0,3569,3570,5,101,0,0,3570,3571,5,110, 0,0,3571,3572,5,99,0,0,3572,3586,5,101,0,0,3573,3574,5,112,0,0,3574, 3575,5,108,0,0,3575,3576,5,97,0,0,3576,3577,5,115,0,0,3577,3578, 5,109,0,0,3578,3579,5,97,0,0,3579,3580,5,95,0,0,3580,3581,5,110, 0,0,3581,3582,5,111,0,0,3582,3583,5,105,0,0,3583,3584,5,115,0,0, 3584,3586,5,101,0,0,3585,3557,1,0,0,0,3585,3563,1,0,0,0,3585,3573, 1,0,0,0,3586,542,1,0,0,0,3587,3588,5,114,0,0,3588,3589,5,105,0,0, 3589,3590,5,100,0,0,3590,3591,5,103,0,0,3591,3592,5,101,0,0,3592, 3606,5,100,0,0,3593,3594,5,114,0,0,3594,3595,5,105,0,0,3595,3596, 5,100,0,0,3596,3597,5,103,0,0,3597,3598,5,101,0,0,3598,3599,5,100, 0,0,3599,3600,5,95,0,0,3600,3601,5,110,0,0,3601,3602,5,111,0,0,3602, 3603,5,105,0,0,3603,3604,5,115,0,0,3604,3606,5,101,0,0,3605,3587, 1,0,0,0,3605,3593,1,0,0,0,3606,544,1,0,0,0,3607,3608,5,100,0,0,3608, 3609,5,111,0,0,3609,3610,5,109,0,0,3610,3611,5,97,0,0,3611,3612, 5,105,0,0,3612,3613,5,110,0,0,3613,3614,5,95,0,0,3614,3615,5,119, 0,0,3615,3616,5,97,0,0,3616,3617,5,114,0,0,3617,3636,5,112,0,0,3618, 3619,5,100,0,0,3619,3620,5,111,0,0,3620,3621,5,109,0,0,3621,3622, 5,97,0,0,3622,3623,5,105,0,0,3623,3624,5,110,0,0,3624,3625,5,95, 0,0,3625,3626,5,119,0,0,3626,3627,5,97,0,0,3627,3628,5,114,0,0,3628, 3629,5,112,0,0,3629,3630,5,95,0,0,3630,3631,5,110,0,0,3631,3632, 5,111,0,0,3632,3633,5,105,0,0,3633,3634,5,115,0,0,3634,3636,5,101, 0,0,3635,3607,1,0,0,0,3635,3618,1,0,0,0,3636,546,1,0,0,0,3637,3638, 5,43,0,0,3638,548,1,0,0,0,3639,3640,5,45,0,0,3640,550,1,0,0,0,3641, 3642,5,42,0,0,3642,552,1,0,0,0,3643,3644,5,47,0,0,3644,554,1,0,0, 0,3645,3646,5,37,0,0,3646,556,1,0,0,0,3647,3648,5,94,0,0,3648,558, 1,0,0,0,3649,3650,5,60,0,0,3650,3651,5,60,0,0,3651,560,1,0,0,0,3652, 3653,5,62,0,0,3653,3654,5,62,0,0,3654,562,1,0,0,0,3655,3656,5,62, 0,0,3656,3657,5,61,0,0,3657,564,1,0,0,0,3658,3659,5,62,0,0,3659, 566,1,0,0,0,3660,3661,5,60,0,0,3661,3662,5,61,0,0,3662,568,1,0,0, 0,3663,3664,5,60,0,0,3664,570,1,0,0,0,3665,3666,5,61,0,0,3666,3667, 5,61,0,0,3667,572,1,0,0,0,3668,3669,5,61,0,0,3669,574,1,0,0,0,3670, 3671,5,43,0,0,3671,3672,5,61,0,0,3672,576,1,0,0,0,3673,3674,5,45, 0,0,3674,3675,5,61,0,0,3675,578,1,0,0,0,3676,3677,5,42,0,0,3677, 3678,5,61,0,0,3678,580,1,0,0,0,3679,3680,5,47,0,0,3680,3681,5,61, 0,0,3681,582,1,0,0,0,3682,3683,5,37,0,0,3683,3684,5,61,0,0,3684, 584,1,0,0,0,3685,3686,5,33,0,0,3686,3687,5,61,0,0,3687,586,1,0,0, 0,3688,3689,5,124,0,0,3689,588,1,0,0,0,3690,3691,5,40,0,0,3691,590, 1,0,0,0,3692,3693,5,41,0,0,3693,592,1,0,0,0,3694,3695,5,44,0,0,3695, 594,1,0,0,0,3696,3697,5,59,0,0,3697,596,1,0,0,0,3698,3699,5,45,0, 0,3699,3700,5,62,0,0,3700,598,1,0,0,0,3701,3702,5,91,0,0,3702,600, 1,0,0,0,3703,3704,5,93,0,0,3704,602,1,0,0,0,3705,3706,5,63,0,0,3706, 604,1,0,0,0,3707,3708,5,58,0,0,3708,606,1,0,0,0,3709,3710,5,123, 0,0,3710,608,1,0,0,0,3711,3712,5,125,0,0,3712,610,1,0,0,0,3713,3715, 7,0,0,0,3714,3713,1,0,0,0,3715,3716,1,0,0,0,3716,3714,1,0,0,0,3716, 3717,1,0,0,0,3717,3725,1,0,0,0,3718,3722,5,46,0,0,3719,3721,7,0, 0,0,3720,3719,1,0,0,0,3721,3724,1,0,0,0,3722,3720,1,0,0,0,3722,3723, 1,0,0,0,3723,3726,1,0,0,0,3724,3722,1,0,0,0,3725,3718,1,0,0,0,3725, 3726,1,0,0,0,3726,3734,1,0,0,0,3727,3729,5,46,0,0,3728,3730,7,0, 0,0,3729,3728,1,0,0,0,3730,3731,1,0,0,0,3731,3729,1,0,0,0,3731,3732, 1,0,0,0,3732,3734,1,0,0,0,3733,3714,1,0,0,0,3733,3727,1,0,0,0,3734, 3744,1,0,0,0,3735,3737,7,1,0,0,3736,3738,7,2,0,0,3737,3736,1,0,0, 0,3737,3738,1,0,0,0,3738,3740,1,0,0,0,3739,3741,7,0,0,0,3740,3739, 1,0,0,0,3741,3742,1,0,0,0,3742,3740,1,0,0,0,3742,3743,1,0,0,0,3743, 3745,1,0,0,0,3744,3735,1,0,0,0,3744,3745,1,0,0,0,3745,612,1,0,0, 0,3746,3747,5,112,0,0,3747,3752,5,105,0,0,3748,3749,5,80,0,0,3749, 3752,5,73,0,0,3750,3752,7,1,0,0,3751,3746,1,0,0,0,3751,3748,1,0, 0,0,3751,3750,1,0,0,0,3752,614,1,0,0,0,3753,3759,5,34,0,0,3754,3758, 8,3,0,0,3755,3756,5,92,0,0,3756,3758,9,0,0,0,3757,3754,1,0,0,0,3757, 3755,1,0,0,0,3758,3761,1,0,0,0,3759,3757,1,0,0,0,3759,3760,1,0,0, 0,3760,3762,1,0,0,0,3761,3759,1,0,0,0,3762,3774,5,34,0,0,3763,3769, 5,39,0,0,3764,3768,8,4,0,0,3765,3766,5,92,0,0,3766,3768,9,0,0,0, 3767,3764,1,0,0,0,3767,3765,1,0,0,0,3768,3771,1,0,0,0,3769,3767, 1,0,0,0,3769,3770,1,0,0,0,3770,3772,1,0,0,0,3771,3769,1,0,0,0,3772, 3774,5,39,0,0,3773,3753,1,0,0,0,3773,3763,1,0,0,0,3774,616,1,0,0, 0,3775,3779,7,5,0,0,3776,3778,7,6,0,0,3777,3776,1,0,0,0,3778,3781, 1,0,0,0,3779,3777,1,0,0,0,3779,3780,1,0,0,0,3780,618,1,0,0,0,3781, 3779,1,0,0,0,3782,3786,5,35,0,0,3783,3785,8,7,0,0,3784,3783,1,0, 0,0,3785,3788,1,0,0,0,3786,3784,1,0,0,0,3786,3787,1,0,0,0,3787,3789, 1,0,0,0,3788,3786,1,0,0,0,3789,3790,6,309,0,0,3790,620,1,0,0,0,3791, 3792,5,47,0,0,3792,3793,5,42,0,0,3793,3797,1,0,0,0,3794,3796,9,0, 0,0,3795,3794,1,0,0,0,3796,3799,1,0,0,0,3797,3798,1,0,0,0,3797,3795, 1,0,0,0,3798,3800,1,0,0,0,3799,3797,1,0,0,0,3800,3801,5,42,0,0,3801, 3802,5,47,0,0,3802,3803,1,0,0,0,3803,3804,6,310,0,0,3804,622,1,0, 0,0,3805,3807,7,8,0,0,3806,3805,1,0,0,0,3807,3808,1,0,0,0,3808,3806, 1,0,0,0,3808,3809,1,0,0,0,3809,3810,1,0,0,0,3810,3811,6,311,0,0, 3811,624,1,0,0,0,88,0,1012,1027,1198,1215,1239,1252,1265,1364,1381, 1473,1536,1558,1575,1596,1611,1638,1669,1685,1715,1742,1769,1799, 1825,1855,1889,1960,2010,2030,2051,2122,2146,2169,2186,2201,2309, 2384,2453,2520,2542,2768,2806,2839,2860,2917,3036,3067,3086,3138, 3154,3172,3197,3217,3242,3267,3290,3314,3335,3354,3375,3396,3421, 3442,3463,3485,3505,3555,3585,3605,3635,3716,3722,3725,3731,3733, 3737,3742,3744,3751,3757,3759,3767,3769,3773,3779,3786,3797,3808, 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 CUMMAX = 117 CUMMIN = 118 CUMSUM = 119 CUMPROD = 120 TOPK_IND = 121 BOTK_IND = 122 CUBIC_EASE = 123 ELASTIC_EASE = 124 SINE_EASE = 125 SMOOTHERSTEP = 126 DIST = 127 REMAP = 128 COSSIM = 129 COUNT = 130 KEYS = 131 ENABLE_TRACKING = 132 DISABLE_TRACKING = 133 RESET_TRACKING = 134 GET_CHANGED_KEYS = 135 GET_ADDED_KEYS = 136 GET_REMOVED_KEYS = 137 GET_UNCHANGED_KEYS = 138 REPEAT = 139 FLATTEN = 140 APPEND = 141 GET_VALUE = 142 FLOW_APPLY = 143 BATCH_SHUFFLE = 144 MOTION_MASK = 145 FLOW_TO_IMAGE = 146 FLOW_MAG = 147 FLOW_ANG = 148 WHERE = 149 HISTOGRAM = 150 OVERLAY = 151 BLEND = 152 PAD = 153 CROSS = 154 MATMUL = 155 SOLVE = 156 MATRIX_RANK = 157 RIFE = 158 BNOT = 159 BITCOUNT = 160 SHAPE = 161 BAND = 162 XOR = 163 BOR = 164 TENSOR = 165 ZEROS = 166 ONES = 167 EYE = 168 ONE_HOT = 169 MSE = 170 MAE = 171 PSNR = 172 WEIGHTED_MEAN = 173 HUBER_LOSS = 174 CROSS_ENTROPY = 175 ADD_KEY = 176 REMOVE_KEY = 177 PUSH = 178 POP = 179 CLEAR = 180 HAS = 181 GET = 182 CONCAT = 183 STACK = 184 NONZERO = 185 INT = 186 FLOAT = 187 UPPER = 188 LOWER = 189 TRIM = 190 SPLIT = 191 JOIN = 192 SUBSTRING = 193 FIND = 194 REPLACE = 195 REGEX_SEARCH = 196 REGEX_REPLACE = 197 FORMAT = 198 TO_JSON = 199 FROM_JSON = 200 DILATE = 201 ERODE = 202 MORPH_OPEN = 203 MORPH_CLOSE = 204 RGB_TO_OKLAB = 205 LUMINANCE = 206 RGB_TO_CIELAB = 207 OKLAB_TO_RGB = 208 CIELAB_TO_RGB = 209 RGB_TO_HSV = 210 HSV_TO_RGB = 211 INT_TO_RGB = 212 RGB_TO_INT = 213 INTERPOLATE_LINEAR = 214 INTERPOLATE_AREA = 215 INTERPOLATE_NEAREST = 216 TEXT_IMAGE = 217 AS_NESTED = 218 SVD = 219 DIAG = 220 IF = 221 ELSE = 222 WHILE = 223 FOR = 224 IN = 225 BREAK = 226 CONTINUE = 227 RETURN = 228 TIMESTAMP = 229 SORT = 230 ARGSORT = 231 ARGMIN = 232 ARGMAX = 233 SOFTMAX = 234 SOFTMIN = 235 UNIQUE = 236 FLIP = 237 STARTSWITH = 238 ENDSWITH = 239 SQUEEZE = 240 UNSQUEEZE = 241 ROLL = 242 COV = 243 CORR = 244 ENTROPY = 245 CROP = 246 NONE = 247 COORDS = 248 GATHER = 249 SCATTER = 250 SCATTER_ADD = 251 NOISE = 252 PINK_NOISE = 253 BROWN_NOISE = 254 RAND = 255 CAUCHY = 256 EXPONENTIAL = 257 LOGNORMAL = 258 BERNOULLI = 259 BINOMIALDIST = 260 POISSON = 261 GAMMADIST = 262 BETADIST = 263 LAPLACEDIST = 264 GUMBELDIST = 265 WEIBULLDIST = 266 CHI2DIST = 267 STUDENTTDIST = 268 PERLIN = 269 CELLULAR = 270 PLASMA = 271 RIDGED = 272 DOMAIN_WARP = 273 PLUS = 274 MINUS = 275 MULT = 276 DIV = 277 MOD = 278 POW = 279 LSHIFT = 280 RSHIFT = 281 GE = 282 GT = 283 LE = 284 LT = 285 EQ = 286 EQUEALS = 287 PLUS_EQ = 288 MINUS_EQ = 289 MULT_EQ = 290 DIV_EQ = 291 MOD_EQ = 292 NE = 293 PIPE = 294 LPAREN = 295 RPAREN = 296 COMMA = 297 SEMICOLON = 298 ARROW = 299 LBRACKET = 300 RBRACKET = 301 QUESTION = 302 COLON = 303 LBRACE = 304 RBRACE = 305 NUMBER = 306 CONSTANT = 307 STRING = 308 VARIABLE = 309 SL_COMMENT = 310 ML_COMMENT = 311 WS = 312 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'", "'cummax'", "'cummin'", "'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", "CUMMAX", "CUMMIN", "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", "TO_JSON", "FROM_JSON", "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", "BINOMIALDIST", "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", "CUMMAX", "CUMMIN", "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", "TO_JSON", "FROM_JSON", "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", "BINOMIALDIST", "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