# 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 [ 4,0,311,3786,6,-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, 2,307,7,307,2,308,7,308,2,309,7,309,2,310,7,310,1,0,1,0,1,0,1,0, 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, 58,1,58,1,58,1,58,1,58,1,58,1,58,1,58,1,58,1,58,1,58,3,58,1011,8, 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, 59,3,59,1026,8,59,1,60,1,60,1,60,1,60,1,60,1,61,1,61,1,61,1,61,1, 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, 80,1,80,1,80,1,80,3,80,1197,8,80,1,81,1,81,1,81,1,81,1,81,1,81,1, 81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,3,81,1214,8,81,1,82,1, 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, 83,1,83,1,83,1,83,1,83,1,83,1,83,1,83,3,83,1238,8,83,1,84,1,84,1, 84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,3,84,1251,8,84,1,85,1, 85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,3,85,1264,8,85,1, 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, 1,100,1,100,1,100,1,100,1,100,1,100,1,100,3,100,1363,8,100,1,101, 1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101, 1,101,1,101,1,101,3,101,1380,8,101,1,102,1,102,1,102,1,102,1,102, 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, 1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,113,3,113,1472,8,113, 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, 1,120,1,120,1,120,1,120,1,120,1,120,3,120,1535,8,120,1,121,1,121, 1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121, 1,121,1,121,1,121,1,121,1,121,1,121,1,121,3,121,1557,8,121,1,122, 1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122, 1,122,1,122,1,122,3,122,1574,8,122,1,123,1,123,1,123,1,123,1,123, 1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,123, 1,123,1,123,1,123,3,123,1595,8,123,1,124,1,124,1,124,1,124,1,124, 1,124,1,124,1,124,1,124,1,124,1,124,1,124,1,124,3,124,1610,8,124, 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, 1,126,1,126,1,126,3,126,1637,8,126,1,127,1,127,1,127,1,127,1,127, 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, 1,128,1,128,3,128,1668,8,128,1,129,1,129,1,129,1,129,1,129,1,129, 1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,3,129,1684,8,129, 1,130,1,130,1,130,1,130,1,130,1,131,1,131,1,131,1,131,1,131,1,131, 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1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137, 1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137, 1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,3,137, 1888,8,137,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,139,1,139, 1,139,1,139,1,139,1,139,1,139,1,139,1,140,1,140,1,140,1,140,1,140, 1,140,1,140,1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141, 1,141,1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,142, 1,142,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143, 1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143, 1,143,1,143,1,143,1,143,1,143,3,143,1959,8,143,1,144,1,144,1,144, 1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,145,1,145, 1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145, 1,145,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146, 1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146, 1,146,3,146,2009,8,146,1,147,1,147,1,147,1,147,1,147,1,147,1,147, 1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147, 3,147,2029,8,147,1,148,1,148,1,148,1,148,1,148,1,148,1,149,1,149, 1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149, 3,149,2050,8,149,1,150,1,150,1,150,1,150,1,150,1,150,1,150,1,150, 1,151,1,151,1,151,1,151,1,151,1,151,1,152,1,152,1,152,1,152,1,153, 1,153,1,153,1,153,1,153,1,153,1,154,1,154,1,154,1,154,1,154,1,154, 1,154,1,155,1,155,1,155,1,155,1,155,1,155,1,156,1,156,1,156,1,156, 1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,157,1,157,1,157, 1,157,1,157,1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158, 1,158,1,158,1,158,1,158,1,158,1,158,3,158,2121,8,158,1,159,1,159, 1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159, 1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,3,159,2145, 8,159,1,160,1,160,1,160,1,160,1,160,1,160,1,161,1,161,1,161,1,161, 1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161, 3,161,2168,8,161,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162, 1,162,1,162,1,162,1,162,1,162,1,162,1,162,3,162,2185,8,162,1,163, 1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163, 1,163,3,163,2200,8,163,1,164,1,164,1,164,1,164,1,164,1,164,1,164, 1,165,1,165,1,165,1,165,1,165,1,165,1,166,1,166,1,166,1,166,1,166, 1,167,1,167,1,167,1,167,1,168,1,168,1,168,1,168,1,168,1,168,1,168, 1,168,1,169,1,169,1,169,1,169,1,170,1,170,1,170,1,170,1,171,1,171, 1,171,1,171,1,171,1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172, 1,172,1,172,1,172,1,172,1,172,1,172,1,173,1,173,1,173,1,173,1,173, 1,173,1,173,1,173,1,173,1,173,1,173,1,174,1,174,1,174,1,174,1,174, 1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,175,1,175, 1,175,1,175,1,175,1,175,1,175,1,175,1,176,1,176,1,176,1,176,1,176, 1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176, 3,176,2308,8,176,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177, 1,177,1,177,1,177,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178, 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1,233,1,233,1,233,1,233,1,233,1,233,1,234,1,234,1,234,1,234,1,234, 1,234,1,234,1,234,1,235,1,235,1,235,1,235,1,235,1,235,1,235,1,236, 1,236,1,236,1,236,1,236,1,237,1,237,1,237,1,237,1,237,1,237,1,237, 1,237,1,237,1,237,1,237,1,238,1,238,1,238,1,238,1,238,1,238,1,238, 1,238,1,238,1,239,1,239,1,239,1,239,1,239,1,239,1,239,1,239,1,240, 1,240,1,240,1,240,1,240,1,240,1,240,1,240,1,240,1,240,1,241,1,241, 1,241,1,241,1,241,1,242,1,242,1,242,1,242,1,243,1,243,1,243,1,243, 1,243,1,243,1,243,1,243,1,243,1,243,1,243,1,243,1,243,1,243,1,243, 3,243,3035,8,243,1,244,1,244,1,244,1,244,1,244,1,244,1,244,1,244, 1,245,1,245,1,245,1,245,1,245,1,246,1,246,1,246,1,246,1,246,1,246, 1,246,1,246,1,246,1,246,1,246,1,246,1,246,1,246,1,246,1,246,3,246, 3066,8,246,1,247,1,247,1,247,1,247,1,247,1,247,1,247,1,247,1,247, 1,247,1,247,1,247,1,247,1,247,1,247,1,247,1,247,3,247,3085,8,247, 1,248,1,248,1,248,1,248,1,248,1,248,1,248,1,249,1,249,1,249,1,249, 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, 1,251,1,251,1,251,1,251,1,251,1,251,3,251,3137,8,251,1,252,1,252, 1,252,1,252,1,252,1,252,1,252,1,252,1,252,1,252,1,252,1,252,1,252, 1,252,3,252,3153,8,252,1,253,1,253,1,253,1,253,1,253,1,253,1,253, 1,253,1,253,1,253,1,253,1,253,1,253,1,253,1,253,1,253,3,253,3171, 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, 1,254,1,254,3,254,3196,8,254,1,255,1,255,1,255,1,255,1,255,1,255, 1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255, 1,255,3,255,3216,8,255,1,256,1,256,1,256,1,256,1,256,1,256,1,256, 1,256,1,256,1,256,1,256,1,256,1,256,1,256,1,256,1,256,1,256,1,256, 1,256,1,256,1,256,1,256,1,256,3,256,3241,8,256,1,257,1,257,1,257, 1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257, 1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,3,257,3266, 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, 3,258,3289,8,258,1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259, 1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259, 3,259,3310,8,259,1,260,1,260,1,260,1,260,1,260,1,260,1,260,1,260, 1,260,1,260,1,260,1,260,1,260,1,260,1,260,1,260,1,260,3,260,3329, 8,260,1,261,1,261,1,261,1,261,1,261,1,261,1,261,1,261,1,261,1,261, 1,261,1,261,1,261,1,261,1,261,1,261,1,261,1,261,1,261,3,261,3350, 8,261,1,262,1,262,1,262,1,262,1,262,1,262,1,262,1,262,1,262,1,262, 1,262,1,262,1,262,1,262,1,262,1,262,1,262,1,262,1,262,3,262,3371, 8,262,1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263, 1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263, 1,263,1,263,3,263,3396,8,263,1,264,1,264,1,264,1,264,1,264,1,264, 1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264, 1,264,1,264,3,264,3417,8,264,1,265,1,265,1,265,1,265,1,265,1,265, 1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265, 1,265,1,265,3,265,3438,8,265,1,266,1,266,1,266,1,266,1,266,1,266, 1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266, 1,266,1,266,1,266,3,266,3460,8,266,1,267,1,267,1,267,1,267,1,267, 1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267, 1,267,1,267,3,267,3480,8,267,1,268,1,268,1,268,1,268,1,268,1,268, 1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268, 1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268, 1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268, 1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,3,268,3530, 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, 1,269,1,269,1,269,1,269,1,269,1,269,1,269,3,269,3560,8,269,1,270, 1,270,1,270,1,270,1,270,1,270,1,270,1,270,1,270,1,270,1,270,1,270, 1,270,1,270,1,270,1,270,1,270,1,270,3,270,3580,8,270,1,271,1,271, 1,271,1,271,1,271,1,271,1,271,1,271,1,271,1,271,1,271,1,271,1,271, 1,271,1,271,1,271,1,271,1,271,1,271,1,271,1,271,1,271,1,271,1,271, 1,271,1,271,1,271,1,271,3,271,3610,8,271,1,272,1,272,1,273,1,273, 1,274,1,274,1,275,1,275,1,276,1,276,1,277,1,277,1,278,1,278,1,278, 1,279,1,279,1,279,1,280,1,280,1,280,1,281,1,281,1,282,1,282,1,282, 1,283,1,283,1,284,1,284,1,284,1,285,1,285,1,286,1,286,1,286,1,287, 1,287,1,287,1,288,1,288,1,288,1,289,1,289,1,289,1,290,1,290,1,290, 1,291,1,291,1,291,1,292,1,292,1,293,1,293,1,294,1,294,1,295,1,295, 1,296,1,296,1,297,1,297,1,297,1,298,1,298,1,299,1,299,1,300,1,300, 1,301,1,301,1,302,1,302,1,303,1,303,1,304,4,304,3689,8,304,11,304, 12,304,3690,1,304,1,304,5,304,3695,8,304,10,304,12,304,3698,9,304, 3,304,3700,8,304,1,304,1,304,4,304,3704,8,304,11,304,12,304,3705, 3,304,3708,8,304,1,304,1,304,3,304,3712,8,304,1,304,4,304,3715,8, 304,11,304,12,304,3716,3,304,3719,8,304,1,305,1,305,1,305,1,305, 1,305,3,305,3726,8,305,1,306,1,306,1,306,1,306,5,306,3732,8,306, 10,306,12,306,3735,9,306,1,306,1,306,1,306,1,306,1,306,5,306,3742, 8,306,10,306,12,306,3745,9,306,1,306,3,306,3748,8,306,1,307,1,307, 5,307,3752,8,307,10,307,12,307,3755,9,307,1,308,1,308,5,308,3759, 8,308,10,308,12,308,3762,9,308,1,308,1,308,1,309,1,309,1,309,1,309, 5,309,3770,8,309,10,309,12,309,3773,9,309,1,309,1,309,1,309,1,309, 1,309,1,310,4,310,3781,8,310,11,310,12,310,3782,1,310,1,310,1,3771, 0,311,1,1,3,2,5,3,7,4,9,5,11,6,13,7,15,8,17,9,19,10,21,11,23,12, 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, 621,311,1,0,9,1,0,48,57,2,0,69,69,101,101,2,0,43,43,45,45,4,0,10, 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, 13,32,32,3884,0,1,1,0,0,0,0,3,1,0,0,0,0,5,1,0,0,0,0,7,1,0,0,0,0, 9,1,0,0,0,0,11,1,0,0,0,0,13,1,0,0,0,0,15,1,0,0,0,0,17,1,0,0,0,0, 19,1,0,0,0,0,21,1,0,0,0,0,23,1,0,0,0,0,25,1,0,0,0,0,27,1,0,0,0,0, 29,1,0,0,0,0,31,1,0,0,0,0,33,1,0,0,0,0,35,1,0,0,0,0,37,1,0,0,0,0, 39,1,0,0,0,0,41,1,0,0,0,0,43,1,0,0,0,0,45,1,0,0,0,0,47,1,0,0,0,0, 49,1,0,0,0,0,51,1,0,0,0,0,53,1,0,0,0,0,55,1,0,0,0,0,57,1,0,0,0,0, 59,1,0,0,0,0,61,1,0,0,0,0,63,1,0,0,0,0,65,1,0,0,0,0,67,1,0,0,0,0, 69,1,0,0,0,0,71,1,0,0,0,0,73,1,0,0,0,0,75,1,0,0,0,0,77,1,0,0,0,0, 79,1,0,0,0,0,81,1,0,0,0,0,83,1,0,0,0,0,85,1,0,0,0,0,87,1,0,0,0,0, 89,1,0,0,0,0,91,1,0,0,0,0,93,1,0,0,0,0,95,1,0,0,0,0,97,1,0,0,0,0, 99,1,0,0,0,0,101,1,0,0,0,0,103,1,0,0,0,0,105,1,0,0,0,0,107,1,0,0, 0,0,109,1,0,0,0,0,111,1,0,0,0,0,113,1,0,0,0,0,115,1,0,0,0,0,117, 1,0,0,0,0,119,1,0,0,0,0,121,1,0,0,0,0,123,1,0,0,0,0,125,1,0,0,0, 0,127,1,0,0,0,0,129,1,0,0,0,0,131,1,0,0,0,0,133,1,0,0,0,0,135,1, 0,0,0,0,137,1,0,0,0,0,139,1,0,0,0,0,141,1,0,0,0,0,143,1,0,0,0,0, 145,1,0,0,0,0,147,1,0,0,0,0,149,1,0,0,0,0,151,1,0,0,0,0,153,1,0, 0,0,0,155,1,0,0,0,0,157,1,0,0,0,0,159,1,0,0,0,0,161,1,0,0,0,0,163, 1,0,0,0,0,165,1,0,0,0,0,167,1,0,0,0,0,169,1,0,0,0,0,171,1,0,0,0, 0,173,1,0,0,0,0,175,1,0,0,0,0,177,1,0,0,0,0,179,1,0,0,0,0,181,1, 0,0,0,0,183,1,0,0,0,0,185,1,0,0,0,0,187,1,0,0,0,0,189,1,0,0,0,0, 191,1,0,0,0,0,193,1,0,0,0,0,195,1,0,0,0,0,197,1,0,0,0,0,199,1,0, 0,0,0,201,1,0,0,0,0,203,1,0,0,0,0,205,1,0,0,0,0,207,1,0,0,0,0,209, 1,0,0,0,0,211,1,0,0,0,0,213,1,0,0,0,0,215,1,0,0,0,0,217,1,0,0,0, 0,219,1,0,0,0,0,221,1,0,0,0,0,223,1,0,0,0,0,225,1,0,0,0,0,227,1, 0,0,0,0,229,1,0,0,0,0,231,1,0,0,0,0,233,1,0,0,0,0,235,1,0,0,0,0, 237,1,0,0,0,0,239,1,0,0,0,0,241,1,0,0,0,0,243,1,0,0,0,0,245,1,0, 0,0,0,247,1,0,0,0,0,249,1,0,0,0,0,251,1,0,0,0,0,253,1,0,0,0,0,255, 1,0,0,0,0,257,1,0,0,0,0,259,1,0,0,0,0,261,1,0,0,0,0,263,1,0,0,0, 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1,0,0,0,619,3765,1,0,0,0,621,3780,1,0,0,0,623,624,5,115,0,0,624, 625,5,105,0,0,625,626,5,110,0,0,626,2,1,0,0,0,627,628,5,99,0,0,628, 629,5,111,0,0,629,630,5,115,0,0,630,4,1,0,0,0,631,632,5,116,0,0, 632,633,5,97,0,0,633,634,5,110,0,0,634,6,1,0,0,0,635,636,5,97,0, 0,636,637,5,115,0,0,637,638,5,105,0,0,638,639,5,110,0,0,639,8,1, 0,0,0,640,641,5,97,0,0,641,642,5,99,0,0,642,643,5,111,0,0,643,644, 5,115,0,0,644,10,1,0,0,0,645,646,5,97,0,0,646,647,5,116,0,0,647, 648,5,97,0,0,648,649,5,110,0,0,649,12,1,0,0,0,650,651,5,97,0,0,651, 652,5,116,0,0,652,653,5,97,0,0,653,654,5,110,0,0,654,655,5,50,0, 0,655,14,1,0,0,0,656,657,5,115,0,0,657,658,5,105,0,0,658,659,5,110, 0,0,659,660,5,104,0,0,660,16,1,0,0,0,661,662,5,99,0,0,662,663,5, 111,0,0,663,664,5,115,0,0,664,665,5,104,0,0,665,18,1,0,0,0,666,667, 5,116,0,0,667,668,5,97,0,0,668,669,5,110,0,0,669,670,5,104,0,0,670, 20,1,0,0,0,671,672,5,97,0,0,672,673,5,115,0,0,673,674,5,105,0,0, 674,675,5,110,0,0,675,676,5,104,0,0,676,22,1,0,0,0,677,678,5,97, 0,0,678,679,5,99,0,0,679,680,5,111,0,0,680,681,5,115,0,0,681,682, 5,104,0,0,682,24,1,0,0,0,683,684,5,97,0,0,684,685,5,116,0,0,685, 686,5,97,0,0,686,687,5,110,0,0,687,688,5,104,0,0,688,26,1,0,0,0, 689,690,5,97,0,0,690,691,5,98,0,0,691,692,5,115,0,0,692,28,1,0,0, 0,693,694,5,115,0,0,694,695,5,113,0,0,695,696,5,114,0,0,696,697, 5,116,0,0,697,30,1,0,0,0,698,699,5,108,0,0,699,700,5,110,0,0,700, 32,1,0,0,0,701,702,5,108,0,0,702,703,5,111,0,0,703,704,5,103,0,0, 704,34,1,0,0,0,705,706,5,108,0,0,706,707,5,111,0,0,707,708,5,103, 0,0,708,709,5,50,0,0,709,36,1,0,0,0,710,711,5,101,0,0,711,712,5, 120,0,0,712,713,5,112,0,0,713,38,1,0,0,0,714,715,5,108,0,0,715,716, 5,111,0,0,716,717,5,103,0,0,717,718,5,49,0,0,718,719,5,112,0,0,719, 40,1,0,0,0,720,721,5,101,0,0,721,722,5,120,0,0,722,723,5,112,0,0, 723,724,5,109,0,0,724,725,5,49,0,0,725,42,1,0,0,0,726,727,5,115, 0,0,727,728,5,105,0,0,728,729,5,110,0,0,729,730,5,99,0,0,730,44, 1,0,0,0,731,732,5,99,0,0,732,733,5,98,0,0,733,734,5,114,0,0,734, 735,5,116,0,0,735,46,1,0,0,0,736,737,5,114,0,0,737,738,5,101,0,0, 738,739,5,99,0,0,739,740,5,105,0,0,740,741,5,112,0,0,741,742,5,114, 0,0,742,743,5,111,0,0,743,744,5,99,0,0,744,745,5,97,0,0,745,746, 5,108,0,0,746,48,1,0,0,0,747,748,5,108,0,0,748,749,5,111,0,0,749, 750,5,103,0,0,750,751,5,97,0,0,751,752,5,100,0,0,752,753,5,100,0, 0,753,754,5,101,0,0,754,755,5,120,0,0,755,756,5,112,0,0,756,50,1, 0,0,0,757,758,5,108,0,0,758,759,5,111,0,0,759,760,5,103,0,0,760, 761,5,115,0,0,761,762,5,117,0,0,762,763,5,109,0,0,763,764,5,101, 0,0,764,765,5,120,0,0,765,766,5,112,0,0,766,52,1,0,0,0,767,768,5, 110,0,0,768,769,5,111,0,0,769,770,5,114,0,0,770,771,5,109,0,0,771, 54,1,0,0,0,772,773,5,110,0,0,773,774,5,111,0,0,774,775,5,114,0,0, 775,776,5,109,0,0,776,777,5,97,0,0,777,778,5,108,0,0,778,779,5,105, 0,0,779,780,5,122,0,0,780,781,5,101,0,0,781,56,1,0,0,0,782,783,5, 103,0,0,783,784,5,114,0,0,784,785,5,111,0,0,785,786,5,117,0,0,786, 787,5,112,0,0,787,788,5,95,0,0,788,789,5,110,0,0,789,790,5,111,0, 0,790,791,5,114,0,0,791,792,5,109,0,0,792,58,1,0,0,0,793,794,5,111, 0,0,794,795,5,117,0,0,795,796,5,116,0,0,796,797,5,101,0,0,797,798, 5,114,0,0,798,60,1,0,0,0,799,800,5,116,0,0,800,801,5,114,0,0,801, 802,5,97,0,0,802,803,5,99,0,0,803,804,5,101,0,0,804,62,1,0,0,0,805, 806,5,100,0,0,806,807,5,101,0,0,807,808,5,116,0,0,808,64,1,0,0,0, 809,810,5,114,0,0,810,811,5,102,0,0,811,812,5,102,0,0,812,813,5, 116,0,0,813,66,1,0,0,0,814,815,5,105,0,0,815,816,5,114,0,0,816,817, 5,102,0,0,817,818,5,102,0,0,818,819,5,116,0,0,819,68,1,0,0,0,820, 821,5,105,0,0,821,822,5,115,0,0,822,823,5,110,0,0,823,824,5,97,0, 0,824,825,5,110,0,0,825,70,1,0,0,0,826,827,5,105,0,0,827,828,5,115, 0,0,828,829,5,105,0,0,829,830,5,110,0,0,830,831,5,102,0,0,831,72, 1,0,0,0,832,833,5,105,0,0,833,834,5,115,0,0,834,835,5,102,0,0,835, 836,5,105,0,0,836,837,5,110,0,0,837,838,5,105,0,0,838,839,5,116, 0,0,839,840,5,101,0,0,840,74,1,0,0,0,841,842,5,115,0,0,842,843,5, 109,0,0,843,844,5,105,0,0,844,845,5,110,0,0,845,76,1,0,0,0,846,847, 5,115,0,0,847,848,5,109,0,0,848,849,5,97,0,0,849,850,5,120,0,0,850, 78,1,0,0,0,851,852,5,116,0,0,852,853,5,109,0,0,853,854,5,105,0,0, 854,855,5,110,0,0,855,80,1,0,0,0,856,857,5,116,0,0,857,858,5,109, 0,0,858,859,5,97,0,0,859,860,5,120,0,0,860,82,1,0,0,0,861,862,5, 116,0,0,862,863,5,110,0,0,863,864,5,111,0,0,864,865,5,114,0,0,865, 866,5,109,0,0,866,84,1,0,0,0,867,868,5,115,0,0,868,869,5,110,0,0, 869,870,5,111,0,0,870,871,5,114,0,0,871,872,5,109,0,0,872,86,1,0, 0,0,873,874,5,102,0,0,874,875,5,108,0,0,875,876,5,111,0,0,876,877, 5,111,0,0,877,878,5,114,0,0,878,88,1,0,0,0,879,880,5,99,0,0,880, 881,5,101,0,0,881,882,5,105,0,0,882,883,5,108,0,0,883,90,1,0,0,0, 884,885,5,114,0,0,885,886,5,111,0,0,886,887,5,117,0,0,887,888,5, 110,0,0,888,889,5,100,0,0,889,92,1,0,0,0,890,891,5,103,0,0,891,892, 5,97,0,0,892,893,5,109,0,0,893,894,5,109,0,0,894,895,5,97,0,0,895, 94,1,0,0,0,896,897,5,112,0,0,897,898,5,111,0,0,898,899,5,119,0,0, 899,96,1,0,0,0,900,901,5,115,0,0,901,902,5,105,0,0,902,903,5,103, 0,0,903,904,5,109,0,0,904,98,1,0,0,0,905,906,5,115,0,0,906,907,5, 105,0,0,907,908,5,103,0,0,908,909,5,109,0,0,909,910,5,95,0,0,910, 911,5,107,0,0,911,912,5,97,0,0,912,913,5,114,0,0,913,914,5,114,0, 0,914,915,5,97,0,0,915,916,5,115,0,0,916,100,1,0,0,0,917,918,5,115, 0,0,918,919,5,105,0,0,919,920,5,103,0,0,920,921,5,109,0,0,921,922, 5,95,0,0,922,923,5,101,0,0,923,924,5,120,0,0,924,925,5,112,0,0,925, 926,5,111,0,0,926,927,5,110,0,0,927,928,5,101,0,0,928,929,5,110, 0,0,929,930,5,116,0,0,930,931,5,105,0,0,931,932,5,97,0,0,932,933, 5,108,0,0,933,102,1,0,0,0,934,935,5,115,0,0,935,936,5,105,0,0,936, 937,5,103,0,0,937,938,5,109,0,0,938,939,5,95,0,0,939,940,5,112,0, 0,940,941,5,111,0,0,941,942,5,108,0,0,942,943,5,121,0,0,943,944, 5,101,0,0,944,945,5,120,0,0,945,946,5,112,0,0,946,947,5,111,0,0, 947,948,5,110,0,0,948,949,5,101,0,0,949,950,5,110,0,0,950,951,5, 116,0,0,951,952,5,105,0,0,952,953,5,97,0,0,953,954,5,108,0,0,954, 104,1,0,0,0,955,956,5,115,0,0,956,957,5,105,0,0,957,958,5,103,0, 0,958,959,5,109,0,0,959,960,5,95,0,0,960,961,5,108,0,0,961,962,5, 97,0,0,962,963,5,112,0,0,963,964,5,108,0,0,964,965,5,97,0,0,965, 966,5,99,0,0,966,967,5,101,0,0,967,106,1,0,0,0,968,969,5,99,0,0, 969,970,5,108,0,0,970,971,5,97,0,0,971,972,5,109,0,0,972,973,5,112, 0,0,973,108,1,0,0,0,974,975,5,102,0,0,975,976,5,102,0,0,976,977, 5,116,0,0,977,110,1,0,0,0,978,979,5,105,0,0,979,980,5,102,0,0,980, 981,5,102,0,0,981,982,5,116,0,0,982,112,1,0,0,0,983,984,5,97,0,0, 984,985,5,110,0,0,985,986,5,103,0,0,986,987,5,108,0,0,987,988,5, 101,0,0,988,114,1,0,0,0,989,990,5,112,0,0,990,991,5,114,0,0,991, 992,5,105,0,0,992,993,5,110,0,0,993,994,5,116,0,0,994,116,1,0,0, 0,995,996,5,112,0,0,996,997,5,114,0,0,997,998,5,105,0,0,998,999, 5,110,0,0,999,1000,5,116,0,0,1000,1001,5,95,0,0,1001,1002,5,115, 0,0,1002,1003,5,104,0,0,1003,1004,5,97,0,0,1004,1005,5,112,0,0,1005, 1011,5,101,0,0,1006,1007,5,112,0,0,1007,1008,5,115,0,0,1008,1009, 5,104,0,0,1009,1011,5,112,0,0,1010,995,1,0,0,0,1010,1006,1,0,0,0, 1011,118,1,0,0,0,1012,1013,5,110,0,0,1013,1014,5,118,0,0,1014,1026, 5,108,0,0,1015,1016,5,110,0,0,1016,1017,5,97,0,0,1017,1018,5,110, 0,0,1018,1019,5,95,0,0,1019,1020,5,116,0,0,1020,1021,5,111,0,0,1021, 1022,5,95,0,0,1022,1023,5,110,0,0,1023,1024,5,117,0,0,1024,1026, 5,109,0,0,1025,1012,1,0,0,0,1025,1015,1,0,0,0,1026,120,1,0,0,0,1027, 1028,5,108,0,0,1028,1029,5,101,0,0,1029,1030,5,114,0,0,1030,1031, 5,112,0,0,1031,122,1,0,0,0,1032,1033,5,105,0,0,1033,1034,5,110,0, 0,1034,1035,5,116,0,0,1035,1036,5,101,0,0,1036,1037,5,114,0,0,1037, 1038,5,112,0,0,1038,124,1,0,0,0,1039,1040,5,115,0,0,1040,1041,5, 108,0,0,1041,1042,5,101,0,0,1042,1043,5,114,0,0,1043,1044,5,112, 0,0,1044,126,1,0,0,0,1045,1046,5,115,0,0,1046,1047,5,116,0,0,1047, 1048,5,101,0,0,1048,1049,5,112,0,0,1049,128,1,0,0,0,1050,1051,5, 115,0,0,1051,1052,5,109,0,0,1052,1053,5,111,0,0,1053,1054,5,111, 0,0,1054,1055,5,116,0,0,1055,1056,5,104,0,0,1056,1057,5,115,0,0, 1057,1058,5,116,0,0,1058,1059,5,101,0,0,1059,1060,5,112,0,0,1060, 130,1,0,0,0,1061,1062,5,102,0,0,1062,1063,5,114,0,0,1063,1064,5, 97,0,0,1064,1065,5,99,0,0,1065,1066,5,116,0,0,1066,132,1,0,0,0,1067, 1068,5,114,0,0,1068,1069,5,101,0,0,1069,1070,5,108,0,0,1070,1071, 5,117,0,0,1071,134,1,0,0,0,1072,1073,5,115,0,0,1073,1074,5,111,0, 0,1074,1075,5,102,0,0,1075,1076,5,116,0,0,1076,1077,5,115,0,0,1077, 1078,5,105,0,0,1078,1079,5,103,0,0,1079,1080,5,110,0,0,1080,136, 1,0,0,0,1081,1082,5,108,0,0,1082,1083,5,101,0,0,1083,1084,5,97,0, 0,1084,1085,5,107,0,0,1085,1086,5,121,0,0,1086,1087,5,95,0,0,1087, 1088,5,114,0,0,1088,1089,5,101,0,0,1089,1090,5,108,0,0,1090,1091, 5,117,0,0,1091,138,1,0,0,0,1092,1093,5,115,0,0,1093,1094,5,111,0, 0,1094,1095,5,102,0,0,1095,1096,5,116,0,0,1096,1097,5,112,0,0,1097, 1098,5,108,0,0,1098,1099,5,117,0,0,1099,1100,5,115,0,0,1100,140, 1,0,0,0,1101,1102,5,103,0,0,1102,1103,5,101,0,0,1103,1104,5,108, 0,0,1104,1105,5,117,0,0,1105,142,1,0,0,0,1106,1107,5,115,0,0,1107, 1108,5,105,0,0,1108,1109,5,108,0,0,1109,1110,5,117,0,0,1110,144, 1,0,0,0,1111,1112,5,115,0,0,1112,1113,5,105,0,0,1113,1114,5,103, 0,0,1114,1115,5,110,0,0,1115,146,1,0,0,0,1116,1117,5,100,0,0,1117, 1118,5,101,0,0,1118,1119,5,103,0,0,1119,1120,5,114,0,0,1120,1121, 5,101,0,0,1121,1122,5,101,0,0,1122,1123,5,115,0,0,1123,148,1,0,0, 0,1124,1125,5,114,0,0,1125,1126,5,97,0,0,1126,1127,5,100,0,0,1127, 1128,5,105,0,0,1128,1129,5,97,0,0,1129,1130,5,110,0,0,1130,1131, 5,115,0,0,1131,150,1,0,0,0,1132,1133,5,108,0,0,1133,1134,5,111,0, 0,1134,1135,5,103,0,0,1135,1136,5,105,0,0,1136,1137,5,99,0,0,1137, 1138,5,97,0,0,1138,1139,5,108,0,0,1139,1140,5,95,0,0,1140,1141,5, 110,0,0,1141,1142,5,111,0,0,1142,1143,5,116,0,0,1143,152,1,0,0,0, 1144,1145,5,108,0,0,1145,1146,5,111,0,0,1146,1147,5,103,0,0,1147, 1148,5,105,0,0,1148,1149,5,99,0,0,1149,1150,5,97,0,0,1150,1151,5, 108,0,0,1151,1152,5,95,0,0,1152,1153,5,97,0,0,1153,1154,5,110,0, 0,1154,1155,5,100,0,0,1155,154,1,0,0,0,1156,1157,5,108,0,0,1157, 1158,5,111,0,0,1158,1159,5,103,0,0,1159,1160,5,105,0,0,1160,1161, 5,99,0,0,1161,1162,5,97,0,0,1162,1163,5,108,0,0,1163,1164,5,95,0, 0,1164,1165,5,111,0,0,1165,1166,5,114,0,0,1166,156,1,0,0,0,1167, 1168,5,104,0,0,1168,1169,5,121,0,0,1169,1170,5,112,0,0,1170,1171, 5,111,0,0,1171,1172,5,116,0,0,1172,158,1,0,0,0,1173,1174,5,109,0, 0,1174,1175,5,97,0,0,1175,1176,5,112,0,0,1176,160,1,0,0,0,1177,1178, 5,101,0,0,1178,1179,5,122,0,0,1179,1180,5,99,0,0,1180,1181,5,111, 0,0,1181,1182,5,110,0,0,1182,1183,5,118,0,0,1183,1184,5,111,0,0, 1184,1185,5,108,0,0,1185,1186,5,117,0,0,1186,1187,5,116,0,0,1187, 1188,5,105,0,0,1188,1189,5,111,0,0,1189,1197,5,110,0,0,1190,1191, 5,101,0,0,1191,1192,5,122,0,0,1192,1193,5,99,0,0,1193,1194,5,111, 0,0,1194,1195,5,110,0,0,1195,1197,5,118,0,0,1196,1177,1,0,0,0,1196, 1190,1,0,0,0,1197,162,1,0,0,0,1198,1199,5,99,0,0,1199,1200,5,111, 0,0,1200,1201,5,110,0,0,1201,1202,5,118,0,0,1202,1203,5,111,0,0, 1203,1204,5,108,0,0,1204,1205,5,117,0,0,1205,1206,5,116,0,0,1206, 1207,5,105,0,0,1207,1208,5,111,0,0,1208,1214,5,110,0,0,1209,1210, 5,99,0,0,1210,1211,5,111,0,0,1211,1212,5,110,0,0,1212,1214,5,118, 0,0,1213,1198,1,0,0,0,1213,1209,1,0,0,0,1214,164,1,0,0,0,1215,1216, 5,115,0,0,1216,1217,5,119,0,0,1217,1218,5,97,0,0,1218,1219,5,112, 0,0,1219,166,1,0,0,0,1220,1221,5,116,0,0,1221,1222,5,114,0,0,1222, 1223,5,97,0,0,1223,1224,5,110,0,0,1224,1225,5,115,0,0,1225,1226, 5,112,0,0,1226,1227,5,111,0,0,1227,1228,5,115,0,0,1228,1238,5,101, 0,0,1229,1230,5,115,0,0,1230,1231,5,119,0,0,1231,1232,5,97,0,0,1232, 1233,5,112,0,0,1233,1234,5,97,0,0,1234,1235,5,120,0,0,1235,1236, 5,101,0,0,1236,1238,5,115,0,0,1237,1220,1,0,0,0,1237,1229,1,0,0, 0,1238,168,1,0,0,0,1239,1240,5,112,0,0,1240,1241,5,101,0,0,1241, 1242,5,114,0,0,1242,1243,5,109,0,0,1243,1244,5,117,0,0,1244,1245, 5,116,0,0,1245,1251,5,101,0,0,1246,1247,5,112,0,0,1247,1248,5,101, 0,0,1248,1249,5,114,0,0,1249,1251,5,109,0,0,1250,1239,1,0,0,0,1250, 1246,1,0,0,0,1251,170,1,0,0,0,1252,1253,5,114,0,0,1253,1254,5,101, 0,0,1254,1255,5,115,0,0,1255,1256,5,104,0,0,1256,1257,5,97,0,0,1257, 1258,5,112,0,0,1258,1264,5,101,0,0,1259,1260,5,114,0,0,1260,1261, 5,115,0,0,1261,1262,5,104,0,0,1262,1264,5,112,0,0,1263,1252,1,0, 0,0,1263,1259,1,0,0,0,1264,172,1,0,0,0,1265,1266,5,114,0,0,1266, 1267,5,97,0,0,1267,1268,5,110,0,0,1268,1269,5,103,0,0,1269,1270, 5,101,0,0,1270,174,1,0,0,0,1271,1272,5,108,0,0,1272,1273,5,105,0, 0,1273,1274,5,110,0,0,1274,1275,5,115,0,0,1275,1276,5,112,0,0,1276, 1277,5,97,0,0,1277,1278,5,99,0,0,1278,1279,5,101,0,0,1279,176,1, 0,0,0,1280,1281,5,108,0,0,1281,1282,5,111,0,0,1282,1283,5,103,0, 0,1283,1284,5,115,0,0,1284,1285,5,112,0,0,1285,1286,5,97,0,0,1286, 1287,5,99,0,0,1287,1288,5,101,0,0,1288,178,1,0,0,0,1289,1290,5,116, 0,0,1290,1291,5,111,0,0,1291,1292,5,112,0,0,1292,1293,5,107,0,0, 1293,180,1,0,0,0,1294,1295,5,98,0,0,1295,1296,5,111,0,0,1296,1297, 5,116,0,0,1297,1298,5,107,0,0,1298,182,1,0,0,0,1299,1300,5,112,0, 0,1300,1301,5,105,0,0,1301,1302,5,110,0,0,1302,1303,5,118,0,0,1303, 184,1,0,0,0,1304,1305,5,105,0,0,1305,1306,5,110,0,0,1306,1307,5, 118,0,0,1307,186,1,0,0,0,1308,1309,5,115,0,0,1309,1310,5,117,0,0, 1310,1311,5,109,0,0,1311,188,1,0,0,0,1312,1313,5,109,0,0,1313,1314, 5,101,0,0,1314,1315,5,97,0,0,1315,1316,5,110,0,0,1316,190,1,0,0, 0,1317,1318,5,115,0,0,1318,1319,5,116,0,0,1319,1320,5,100,0,0,1320, 192,1,0,0,0,1321,1322,5,118,0,0,1322,1323,5,97,0,0,1323,1324,5,114, 0,0,1324,194,1,0,0,0,1325,1326,5,112,0,0,1326,1327,5,114,0,0,1327, 1328,5,111,0,0,1328,1329,5,100,0,0,1329,196,1,0,0,0,1330,1331,5, 105,0,0,1331,1332,5,115,0,0,1332,1333,5,99,0,0,1333,1334,5,108,0, 0,1334,1335,5,111,0,0,1335,1336,5,115,0,0,1336,1337,5,101,0,0,1337, 198,1,0,0,0,1338,1339,5,97,0,0,1339,1340,5,108,0,0,1340,1341,5,108, 0,0,1341,1342,5,99,0,0,1342,1343,5,108,0,0,1343,1344,5,111,0,0,1344, 1345,5,115,0,0,1345,1346,5,101,0,0,1346,200,1,0,0,0,1347,1348,5, 113,0,0,1348,1349,5,117,0,0,1349,1350,5,97,0,0,1350,1351,5,114,0, 0,1351,1352,5,116,0,0,1352,1353,5,105,0,0,1353,1354,5,108,0,0,1354, 1363,5,101,0,0,1355,1356,5,113,0,0,1356,1357,5,117,0,0,1357,1358, 5,97,0,0,1358,1359,5,114,0,0,1359,1360,5,116,0,0,1360,1361,5,105, 0,0,1361,1363,5,108,0,0,1362,1347,1,0,0,0,1362,1355,1,0,0,0,1363, 202,1,0,0,0,1364,1365,5,112,0,0,1365,1366,5,101,0,0,1366,1367,5, 114,0,0,1367,1368,5,99,0,0,1368,1369,5,101,0,0,1369,1370,5,110,0, 0,1370,1371,5,116,0,0,1371,1372,5,105,0,0,1372,1373,5,108,0,0,1373, 1380,5,101,0,0,1374,1375,5,112,0,0,1375,1376,5,114,0,0,1376,1377, 5,99,0,0,1377,1378,5,110,0,0,1378,1380,5,116,0,0,1379,1364,1,0,0, 0,1379,1374,1,0,0,0,1380,204,1,0,0,0,1381,1382,5,113,0,0,1382,1383, 5,117,0,0,1383,1384,5,97,0,0,1384,1385,5,110,0,0,1385,1386,5,116, 0,0,1386,1387,5,105,0,0,1387,1388,5,108,0,0,1388,1389,5,101,0,0, 1389,206,1,0,0,0,1390,1391,5,100,0,0,1391,1392,5,111,0,0,1392,1393, 5,116,0,0,1393,208,1,0,0,0,1394,1395,5,109,0,0,1395,1396,5,111,0, 0,1396,1397,5,109,0,0,1397,1398,5,101,0,0,1398,1399,5,110,0,0,1399, 1400,5,116,0,0,1400,210,1,0,0,0,1401,1402,5,101,0,0,1402,1403,5, 114,0,0,1403,1404,5,102,0,0,1404,212,1,0,0,0,1405,1406,5,101,0,0, 1406,1407,5,114,0,0,1407,1408,5,102,0,0,1408,1409,5,99,0,0,1409, 214,1,0,0,0,1410,1411,5,101,0,0,1411,1412,5,114,0,0,1412,1413,5, 102,0,0,1413,1414,5,105,0,0,1414,1415,5,110,0,0,1415,1416,5,118, 0,0,1416,216,1,0,0,0,1417,1418,5,97,0,0,1418,1419,5,110,0,0,1419, 1420,5,121,0,0,1420,218,1,0,0,0,1421,1422,5,97,0,0,1422,1423,5,108, 0,0,1423,1424,5,108,0,0,1424,220,1,0,0,0,1425,1426,5,101,0,0,1426, 1427,5,100,0,0,1427,1428,5,103,0,0,1428,1429,5,101,0,0,1429,222, 1,0,0,0,1430,1431,5,100,0,0,1431,1432,5,105,0,0,1432,1433,5,115, 0,0,1433,1434,5,116,0,0,1434,1435,5,97,0,0,1435,1436,5,110,0,0,1436, 1437,5,99,0,0,1437,1438,5,101,0,0,1438,1439,5,95,0,0,1439,1440,5, 116,0,0,1440,1441,5,114,0,0,1441,1442,5,97,0,0,1442,1443,5,110,0, 0,1443,1444,5,115,0,0,1444,1445,5,102,0,0,1445,1446,5,111,0,0,1446, 1447,5,114,0,0,1447,1448,5,109,0,0,1448,224,1,0,0,0,1449,1450,5, 103,0,0,1450,1451,5,114,0,0,1451,1452,5,97,0,0,1452,1453,5,121,0, 0,1453,1454,5,115,0,0,1454,1455,5,99,0,0,1455,1456,5,97,0,0,1456, 1457,5,108,0,0,1457,1458,5,101,0,0,1458,226,1,0,0,0,1459,1460,5, 98,0,0,1460,1461,5,108,0,0,1461,1462,5,117,0,0,1462,1472,5,114,0, 0,1463,1464,5,103,0,0,1464,1465,5,97,0,0,1465,1466,5,117,0,0,1466, 1467,5,115,0,0,1467,1468,5,115,0,0,1468,1469,5,105,0,0,1469,1470, 5,97,0,0,1470,1472,5,110,0,0,1471,1459,1,0,0,0,1471,1463,1,0,0,0, 1472,228,1,0,0,0,1473,1474,5,109,0,0,1474,1475,5,101,0,0,1475,1476, 5,100,0,0,1476,1477,5,105,0,0,1477,1478,5,97,0,0,1478,1479,5,110, 0,0,1479,230,1,0,0,0,1480,1481,5,109,0,0,1481,1482,5,111,0,0,1482, 1483,5,100,0,0,1483,1484,5,101,0,0,1484,232,1,0,0,0,1485,1486,5, 99,0,0,1486,1487,5,117,0,0,1487,1488,5,109,0,0,1488,1489,5,109,0, 0,1489,1490,5,97,0,0,1490,1491,5,120,0,0,1491,234,1,0,0,0,1492,1493, 5,99,0,0,1493,1494,5,117,0,0,1494,1495,5,109,0,0,1495,1496,5,109, 0,0,1496,1497,5,105,0,0,1497,1498,5,110,0,0,1498,236,1,0,0,0,1499, 1500,5,99,0,0,1500,1501,5,117,0,0,1501,1502,5,109,0,0,1502,1503, 5,115,0,0,1503,1504,5,117,0,0,1504,1505,5,109,0,0,1505,238,1,0,0, 0,1506,1507,5,99,0,0,1507,1508,5,117,0,0,1508,1509,5,109,0,0,1509, 1510,5,112,0,0,1510,1511,5,114,0,0,1511,1512,5,111,0,0,1512,1513, 5,100,0,0,1513,240,1,0,0,0,1514,1515,5,116,0,0,1515,1516,5,111,0, 0,1516,1517,5,112,0,0,1517,1518,5,107,0,0,1518,1519,5,95,0,0,1519, 1520,5,105,0,0,1520,1521,5,110,0,0,1521,1535,5,100,0,0,1522,1523, 5,116,0,0,1523,1524,5,111,0,0,1524,1525,5,112,0,0,1525,1526,5,107, 0,0,1526,1527,5,95,0,0,1527,1528,5,105,0,0,1528,1529,5,110,0,0,1529, 1530,5,100,0,0,1530,1531,5,105,0,0,1531,1532,5,99,0,0,1532,1533, 5,101,0,0,1533,1535,5,115,0,0,1534,1514,1,0,0,0,1534,1522,1,0,0, 0,1535,242,1,0,0,0,1536,1537,5,98,0,0,1537,1538,5,111,0,0,1538,1539, 5,116,0,0,1539,1540,5,107,0,0,1540,1541,5,95,0,0,1541,1542,5,105, 0,0,1542,1543,5,110,0,0,1543,1557,5,100,0,0,1544,1545,5,98,0,0,1545, 1546,5,111,0,0,1546,1547,5,116,0,0,1547,1548,5,107,0,0,1548,1549, 5,95,0,0,1549,1550,5,105,0,0,1550,1551,5,110,0,0,1551,1552,5,100, 0,0,1552,1553,5,105,0,0,1553,1554,5,99,0,0,1554,1555,5,101,0,0,1555, 1557,5,115,0,0,1556,1536,1,0,0,0,1556,1544,1,0,0,0,1557,244,1,0, 0,0,1558,1559,5,99,0,0,1559,1560,5,117,0,0,1560,1561,5,98,0,0,1561, 1562,5,105,0,0,1562,1563,5,99,0,0,1563,1564,5,95,0,0,1564,1565,5, 101,0,0,1565,1566,5,97,0,0,1566,1567,5,115,0,0,1567,1574,5,101,0, 0,1568,1569,5,99,0,0,1569,1570,5,117,0,0,1570,1571,5,98,0,0,1571, 1572,5,105,0,0,1572,1574,5,99,0,0,1573,1558,1,0,0,0,1573,1568,1, 0,0,0,1574,246,1,0,0,0,1575,1576,5,101,0,0,1576,1577,5,108,0,0,1577, 1578,5,97,0,0,1578,1579,5,115,0,0,1579,1580,5,116,0,0,1580,1581, 5,105,0,0,1581,1582,5,99,0,0,1582,1583,5,95,0,0,1583,1584,5,101, 0,0,1584,1585,5,97,0,0,1585,1586,5,115,0,0,1586,1595,5,101,0,0,1587, 1588,5,101,0,0,1588,1589,5,108,0,0,1589,1590,5,97,0,0,1590,1591, 5,115,0,0,1591,1592,5,116,0,0,1592,1593,5,105,0,0,1593,1595,5,99, 0,0,1594,1575,1,0,0,0,1594,1587,1,0,0,0,1595,248,1,0,0,0,1596,1597, 5,115,0,0,1597,1598,5,105,0,0,1598,1599,5,110,0,0,1599,1600,5,101, 0,0,1600,1601,5,95,0,0,1601,1602,5,101,0,0,1602,1603,5,97,0,0,1603, 1604,5,115,0,0,1604,1610,5,101,0,0,1605,1606,5,115,0,0,1606,1607, 5,105,0,0,1607,1608,5,110,0,0,1608,1610,5,101,0,0,1609,1596,1,0, 0,0,1609,1605,1,0,0,0,1610,250,1,0,0,0,1611,1612,5,115,0,0,1612, 1613,5,109,0,0,1613,1614,5,111,0,0,1614,1615,5,111,0,0,1615,1616, 5,116,0,0,1616,1617,5,104,0,0,1617,1618,5,101,0,0,1618,1619,5,114, 0,0,1619,1620,5,115,0,0,1620,1621,5,116,0,0,1621,1622,5,101,0,0, 1622,1623,5,112,0,0,1623,252,1,0,0,0,1624,1625,5,100,0,0,1625,1626, 5,105,0,0,1626,1627,5,115,0,0,1627,1637,5,116,0,0,1628,1629,5,100, 0,0,1629,1630,5,105,0,0,1630,1631,5,115,0,0,1631,1632,5,116,0,0, 1632,1633,5,97,0,0,1633,1634,5,110,0,0,1634,1635,5,99,0,0,1635,1637, 5,101,0,0,1636,1624,1,0,0,0,1636,1628,1,0,0,0,1637,254,1,0,0,0,1638, 1639,5,114,0,0,1639,1640,5,101,0,0,1640,1641,5,109,0,0,1641,1642, 5,97,0,0,1642,1643,5,112,0,0,1643,256,1,0,0,0,1644,1645,5,99,0,0, 1645,1646,5,111,0,0,1646,1647,5,115,0,0,1647,1648,5,115,0,0,1648, 1649,5,105,0,0,1649,1668,5,109,0,0,1650,1651,5,99,0,0,1651,1652, 5,111,0,0,1652,1653,5,115,0,0,1653,1654,5,105,0,0,1654,1655,5,110, 0,0,1655,1656,5,101,0,0,1656,1657,5,95,0,0,1657,1658,5,115,0,0,1658, 1659,5,105,0,0,1659,1660,5,109,0,0,1660,1661,5,105,0,0,1661,1662, 5,108,0,0,1662,1663,5,97,0,0,1663,1664,5,114,0,0,1664,1665,5,105, 0,0,1665,1666,5,116,0,0,1666,1668,5,121,0,0,1667,1644,1,0,0,0,1667, 1650,1,0,0,0,1668,258,1,0,0,0,1669,1670,5,99,0,0,1670,1671,5,111, 0,0,1671,1672,5,117,0,0,1672,1673,5,110,0,0,1673,1684,5,116,0,0, 1674,1675,5,99,0,0,1675,1676,5,110,0,0,1676,1684,5,116,0,0,1677, 1678,5,108,0,0,1678,1679,5,101,0,0,1679,1680,5,110,0,0,1680,1681, 5,103,0,0,1681,1682,5,116,0,0,1682,1684,5,104,0,0,1683,1669,1,0, 0,0,1683,1674,1,0,0,0,1683,1677,1,0,0,0,1684,260,1,0,0,0,1685,1686, 5,107,0,0,1686,1687,5,101,0,0,1687,1688,5,121,0,0,1688,1689,5,115, 0,0,1689,262,1,0,0,0,1690,1691,5,101,0,0,1691,1692,5,110,0,0,1692, 1693,5,97,0,0,1693,1694,5,98,0,0,1694,1695,5,108,0,0,1695,1696,5, 101,0,0,1696,1697,5,95,0,0,1697,1698,5,116,0,0,1698,1699,5,114,0, 0,1699,1700,5,97,0,0,1700,1701,5,99,0,0,1701,1702,5,107,0,0,1702, 1703,5,105,0,0,1703,1704,5,110,0,0,1704,1714,5,103,0,0,1705,1706, 5,116,0,0,1706,1707,5,114,0,0,1707,1708,5,97,0,0,1708,1709,5,99, 0,0,1709,1710,5,107,0,0,1710,1711,5,95,0,0,1711,1712,5,111,0,0,1712, 1714,5,110,0,0,1713,1690,1,0,0,0,1713,1705,1,0,0,0,1714,264,1,0, 0,0,1715,1716,5,100,0,0,1716,1717,5,105,0,0,1717,1718,5,115,0,0, 1718,1719,5,97,0,0,1719,1720,5,98,0,0,1720,1721,5,108,0,0,1721,1722, 5,101,0,0,1722,1723,5,95,0,0,1723,1724,5,116,0,0,1724,1725,5,114, 0,0,1725,1726,5,97,0,0,1726,1727,5,99,0,0,1727,1728,5,107,0,0,1728, 1729,5,105,0,0,1729,1730,5,110,0,0,1730,1741,5,103,0,0,1731,1732, 5,116,0,0,1732,1733,5,114,0,0,1733,1734,5,97,0,0,1734,1735,5,99, 0,0,1735,1736,5,107,0,0,1736,1737,5,95,0,0,1737,1738,5,111,0,0,1738, 1739,5,102,0,0,1739,1741,5,102,0,0,1740,1715,1,0,0,0,1740,1731,1, 0,0,0,1741,266,1,0,0,0,1742,1743,5,114,0,0,1743,1744,5,101,0,0,1744, 1745,5,115,0,0,1745,1746,5,101,0,0,1746,1747,5,116,0,0,1747,1748, 5,95,0,0,1748,1749,5,116,0,0,1749,1750,5,114,0,0,1750,1751,5,97, 0,0,1751,1752,5,99,0,0,1752,1753,5,107,0,0,1753,1754,5,105,0,0,1754, 1755,5,110,0,0,1755,1768,5,103,0,0,1756,1757,5,116,0,0,1757,1758, 5,114,0,0,1758,1759,5,97,0,0,1759,1760,5,99,0,0,1760,1761,5,107, 0,0,1761,1762,5,95,0,0,1762,1763,5,114,0,0,1763,1764,5,101,0,0,1764, 1765,5,115,0,0,1765,1766,5,101,0,0,1766,1768,5,116,0,0,1767,1742, 1,0,0,0,1767,1756,1,0,0,0,1768,268,1,0,0,0,1769,1770,5,103,0,0,1770, 1771,5,101,0,0,1771,1772,5,116,0,0,1772,1773,5,95,0,0,1773,1774, 5,99,0,0,1774,1775,5,104,0,0,1775,1776,5,97,0,0,1776,1777,5,110, 0,0,1777,1778,5,103,0,0,1778,1779,5,101,0,0,1779,1780,5,100,0,0, 1780,1781,5,95,0,0,1781,1782,5,107,0,0,1782,1783,5,101,0,0,1783, 1784,5,121,0,0,1784,1798,5,115,0,0,1785,1786,5,99,0,0,1786,1787, 5,104,0,0,1787,1788,5,97,0,0,1788,1789,5,110,0,0,1789,1790,5,103, 0,0,1790,1791,5,101,0,0,1791,1792,5,100,0,0,1792,1793,5,95,0,0,1793, 1794,5,107,0,0,1794,1795,5,101,0,0,1795,1796,5,121,0,0,1796,1798, 5,115,0,0,1797,1769,1,0,0,0,1797,1785,1,0,0,0,1798,270,1,0,0,0,1799, 1800,5,103,0,0,1800,1801,5,101,0,0,1801,1802,5,116,0,0,1802,1803, 5,95,0,0,1803,1804,5,97,0,0,1804,1805,5,100,0,0,1805,1806,5,100, 0,0,1806,1807,5,101,0,0,1807,1808,5,100,0,0,1808,1809,5,95,0,0,1809, 1810,5,107,0,0,1810,1811,5,101,0,0,1811,1812,5,121,0,0,1812,1824, 5,115,0,0,1813,1814,5,97,0,0,1814,1815,5,100,0,0,1815,1816,5,100, 0,0,1816,1817,5,101,0,0,1817,1818,5,100,0,0,1818,1819,5,95,0,0,1819, 1820,5,107,0,0,1820,1821,5,101,0,0,1821,1822,5,121,0,0,1822,1824, 5,115,0,0,1823,1799,1,0,0,0,1823,1813,1,0,0,0,1824,272,1,0,0,0,1825, 1826,5,103,0,0,1826,1827,5,101,0,0,1827,1828,5,116,0,0,1828,1829, 5,95,0,0,1829,1830,5,114,0,0,1830,1831,5,101,0,0,1831,1832,5,109, 0,0,1832,1833,5,111,0,0,1833,1834,5,118,0,0,1834,1835,5,101,0,0, 1835,1836,5,100,0,0,1836,1837,5,95,0,0,1837,1838,5,107,0,0,1838, 1839,5,101,0,0,1839,1840,5,121,0,0,1840,1854,5,115,0,0,1841,1842, 5,114,0,0,1842,1843,5,101,0,0,1843,1844,5,109,0,0,1844,1845,5,111, 0,0,1845,1846,5,118,0,0,1846,1847,5,101,0,0,1847,1848,5,100,0,0, 1848,1849,5,95,0,0,1849,1850,5,107,0,0,1850,1851,5,101,0,0,1851, 1852,5,121,0,0,1852,1854,5,115,0,0,1853,1825,1,0,0,0,1853,1841,1, 0,0,0,1854,274,1,0,0,0,1855,1856,5,103,0,0,1856,1857,5,101,0,0,1857, 1858,5,116,0,0,1858,1859,5,95,0,0,1859,1860,5,117,0,0,1860,1861, 5,110,0,0,1861,1862,5,99,0,0,1862,1863,5,104,0,0,1863,1864,5,97, 0,0,1864,1865,5,110,0,0,1865,1866,5,103,0,0,1866,1867,5,101,0,0, 1867,1868,5,100,0,0,1868,1869,5,95,0,0,1869,1870,5,107,0,0,1870, 1871,5,101,0,0,1871,1872,5,121,0,0,1872,1888,5,115,0,0,1873,1874, 5,117,0,0,1874,1875,5,110,0,0,1875,1876,5,99,0,0,1876,1877,5,104, 0,0,1877,1878,5,97,0,0,1878,1879,5,110,0,0,1879,1880,5,103,0,0,1880, 1881,5,101,0,0,1881,1882,5,100,0,0,1882,1883,5,95,0,0,1883,1884, 5,107,0,0,1884,1885,5,101,0,0,1885,1886,5,121,0,0,1886,1888,5,115, 0,0,1887,1855,1,0,0,0,1887,1873,1,0,0,0,1888,276,1,0,0,0,1889,1890, 5,114,0,0,1890,1891,5,101,0,0,1891,1892,5,112,0,0,1892,1893,5,101, 0,0,1893,1894,5,97,0,0,1894,1895,5,116,0,0,1895,278,1,0,0,0,1896, 1897,5,102,0,0,1897,1898,5,108,0,0,1898,1899,5,97,0,0,1899,1900, 5,116,0,0,1900,1901,5,116,0,0,1901,1902,5,101,0,0,1902,1903,5,110, 0,0,1903,280,1,0,0,0,1904,1905,5,97,0,0,1905,1906,5,112,0,0,1906, 1907,5,112,0,0,1907,1908,5,101,0,0,1908,1909,5,110,0,0,1909,1910, 5,100,0,0,1910,282,1,0,0,0,1911,1912,5,103,0,0,1912,1913,5,101,0, 0,1913,1914,5,116,0,0,1914,1915,5,95,0,0,1915,1916,5,118,0,0,1916, 1917,5,97,0,0,1917,1918,5,108,0,0,1918,1919,5,117,0,0,1919,1920, 5,101,0,0,1920,284,1,0,0,0,1921,1922,5,102,0,0,1922,1923,5,108,0, 0,1923,1924,5,111,0,0,1924,1925,5,119,0,0,1925,1926,5,95,0,0,1926, 1927,5,97,0,0,1927,1928,5,112,0,0,1928,1929,5,112,0,0,1929,1930, 5,108,0,0,1930,1931,5,121,0,0,1931,286,1,0,0,0,1932,1933,5,98,0, 0,1933,1934,5,97,0,0,1934,1935,5,116,0,0,1935,1936,5,99,0,0,1936, 1937,5,104,0,0,1937,1938,5,95,0,0,1938,1939,5,115,0,0,1939,1940, 5,104,0,0,1940,1941,5,117,0,0,1941,1942,5,102,0,0,1942,1943,5,102, 0,0,1943,1944,5,108,0,0,1944,1959,5,101,0,0,1945,1946,5,115,0,0, 1946,1947,5,104,0,0,1947,1948,5,117,0,0,1948,1949,5,102,0,0,1949, 1950,5,102,0,0,1950,1951,5,108,0,0,1951,1959,5,101,0,0,1952,1953, 5,115,0,0,1953,1954,5,101,0,0,1954,1955,5,108,0,0,1955,1956,5,101, 0,0,1956,1957,5,99,0,0,1957,1959,5,116,0,0,1958,1932,1,0,0,0,1958, 1945,1,0,0,0,1958,1952,1,0,0,0,1959,288,1,0,0,0,1960,1961,5,109, 0,0,1961,1962,5,111,0,0,1962,1963,5,116,0,0,1963,1964,5,105,0,0, 1964,1965,5,111,0,0,1965,1966,5,110,0,0,1966,1967,5,95,0,0,1967, 1968,5,109,0,0,1968,1969,5,97,0,0,1969,1970,5,115,0,0,1970,1971, 5,107,0,0,1971,290,1,0,0,0,1972,1973,5,102,0,0,1973,1974,5,108,0, 0,1974,1975,5,111,0,0,1975,1976,5,119,0,0,1976,1977,5,95,0,0,1977, 1978,5,116,0,0,1978,1979,5,111,0,0,1979,1980,5,95,0,0,1980,1981, 5,105,0,0,1981,1982,5,109,0,0,1982,1983,5,97,0,0,1983,1984,5,103, 0,0,1984,1985,5,101,0,0,1985,292,1,0,0,0,1986,1987,5,102,0,0,1987, 1988,5,108,0,0,1988,1989,5,111,0,0,1989,1990,5,119,0,0,1990,1991, 5,95,0,0,1991,1992,5,109,0,0,1992,1993,5,97,0,0,1993,2009,5,103, 0,0,1994,1995,5,102,0,0,1995,1996,5,108,0,0,1996,1997,5,111,0,0, 1997,1998,5,119,0,0,1998,1999,5,95,0,0,1999,2000,5,109,0,0,2000, 2001,5,97,0,0,2001,2002,5,103,0,0,2002,2003,5,110,0,0,2003,2004, 5,105,0,0,2004,2005,5,116,0,0,2005,2006,5,117,0,0,2006,2007,5,100, 0,0,2007,2009,5,101,0,0,2008,1986,1,0,0,0,2008,1994,1,0,0,0,2009, 294,1,0,0,0,2010,2011,5,102,0,0,2011,2012,5,108,0,0,2012,2013,5, 111,0,0,2013,2014,5,119,0,0,2014,2015,5,95,0,0,2015,2016,5,97,0, 0,2016,2017,5,110,0,0,2017,2029,5,103,0,0,2018,2019,5,102,0,0,2019, 2020,5,108,0,0,2020,2021,5,111,0,0,2021,2022,5,119,0,0,2022,2023, 5,95,0,0,2023,2024,5,97,0,0,2024,2025,5,110,0,0,2025,2026,5,103, 0,0,2026,2027,5,108,0,0,2027,2029,5,101,0,0,2028,2010,1,0,0,0,2028, 2018,1,0,0,0,2029,296,1,0,0,0,2030,2031,5,119,0,0,2031,2032,5,104, 0,0,2032,2033,5,101,0,0,2033,2034,5,114,0,0,2034,2035,5,101,0,0, 2035,298,1,0,0,0,2036,2037,5,104,0,0,2037,2038,5,105,0,0,2038,2039, 5,115,0,0,2039,2040,5,116,0,0,2040,2041,5,111,0,0,2041,2042,5,103, 0,0,2042,2043,5,114,0,0,2043,2044,5,97,0,0,2044,2050,5,109,0,0,2045, 2046,5,104,0,0,2046,2047,5,105,0,0,2047,2048,5,115,0,0,2048,2050, 5,116,0,0,2049,2036,1,0,0,0,2049,2045,1,0,0,0,2050,300,1,0,0,0,2051, 2052,5,111,0,0,2052,2053,5,118,0,0,2053,2054,5,101,0,0,2054,2055, 5,114,0,0,2055,2056,5,108,0,0,2056,2057,5,97,0,0,2057,2058,5,121, 0,0,2058,302,1,0,0,0,2059,2060,5,98,0,0,2060,2061,5,108,0,0,2061, 2062,5,101,0,0,2062,2063,5,110,0,0,2063,2064,5,100,0,0,2064,304, 1,0,0,0,2065,2066,5,112,0,0,2066,2067,5,97,0,0,2067,2068,5,100,0, 0,2068,306,1,0,0,0,2069,2070,5,99,0,0,2070,2071,5,114,0,0,2071,2072, 5,111,0,0,2072,2073,5,115,0,0,2073,2074,5,115,0,0,2074,308,1,0,0, 0,2075,2076,5,109,0,0,2076,2077,5,97,0,0,2077,2078,5,116,0,0,2078, 2079,5,109,0,0,2079,2080,5,117,0,0,2080,2081,5,108,0,0,2081,310, 1,0,0,0,2082,2083,5,115,0,0,2083,2084,5,111,0,0,2084,2085,5,108, 0,0,2085,2086,5,118,0,0,2086,2087,5,101,0,0,2087,312,1,0,0,0,2088, 2089,5,109,0,0,2089,2090,5,97,0,0,2090,2091,5,116,0,0,2091,2092, 5,114,0,0,2092,2093,5,105,0,0,2093,2094,5,120,0,0,2094,2095,5,95, 0,0,2095,2096,5,114,0,0,2096,2097,5,97,0,0,2097,2098,5,110,0,0,2098, 2099,5,107,0,0,2099,314,1,0,0,0,2100,2101,5,114,0,0,2101,2102,5, 105,0,0,2102,2103,5,102,0,0,2103,2104,5,101,0,0,2104,316,1,0,0,0, 2105,2106,5,98,0,0,2106,2107,5,110,0,0,2107,2108,5,111,0,0,2108, 2121,5,116,0,0,2109,2110,5,98,0,0,2110,2111,5,105,0,0,2111,2112, 5,116,0,0,2112,2113,5,119,0,0,2113,2114,5,105,0,0,2114,2115,5,115, 0,0,2115,2116,5,101,0,0,2116,2117,5,95,0,0,2117,2118,5,110,0,0,2118, 2119,5,111,0,0,2119,2121,5,116,0,0,2120,2105,1,0,0,0,2120,2109,1, 0,0,0,2121,318,1,0,0,0,2122,2123,5,98,0,0,2123,2124,5,105,0,0,2124, 2125,5,116,0,0,2125,2126,5,99,0,0,2126,2127,5,111,0,0,2127,2128, 5,117,0,0,2128,2129,5,110,0,0,2129,2145,5,116,0,0,2130,2131,5,112, 0,0,2131,2132,5,111,0,0,2132,2133,5,112,0,0,2133,2134,5,99,0,0,2134, 2135,5,111,0,0,2135,2136,5,117,0,0,2136,2137,5,110,0,0,2137,2145, 5,116,0,0,2138,2139,5,112,0,0,2139,2140,5,111,0,0,2140,2141,5,112, 0,0,2141,2142,5,99,0,0,2142,2143,5,110,0,0,2143,2145,5,116,0,0,2144, 2122,1,0,0,0,2144,2130,1,0,0,0,2144,2138,1,0,0,0,2145,320,1,0,0, 0,2146,2147,5,115,0,0,2147,2148,5,104,0,0,2148,2149,5,97,0,0,2149, 2150,5,112,0,0,2150,2151,5,101,0,0,2151,322,1,0,0,0,2152,2153,5, 98,0,0,2153,2154,5,97,0,0,2154,2155,5,110,0,0,2155,2168,5,100,0, 0,2156,2157,5,98,0,0,2157,2158,5,105,0,0,2158,2159,5,116,0,0,2159, 2160,5,119,0,0,2160,2161,5,105,0,0,2161,2162,5,115,0,0,2162,2163, 5,101,0,0,2163,2164,5,95,0,0,2164,2165,5,97,0,0,2165,2166,5,110, 0,0,2166,2168,5,100,0,0,2167,2152,1,0,0,0,2167,2156,1,0,0,0,2168, 324,1,0,0,0,2169,2170,5,98,0,0,2170,2171,5,120,0,0,2171,2172,5,111, 0,0,2172,2185,5,114,0,0,2173,2174,5,98,0,0,2174,2175,5,105,0,0,2175, 2176,5,116,0,0,2176,2177,5,119,0,0,2177,2178,5,105,0,0,2178,2179, 5,115,0,0,2179,2180,5,101,0,0,2180,2181,5,95,0,0,2181,2182,5,120, 0,0,2182,2183,5,111,0,0,2183,2185,5,114,0,0,2184,2169,1,0,0,0,2184, 2173,1,0,0,0,2185,326,1,0,0,0,2186,2187,5,98,0,0,2187,2188,5,111, 0,0,2188,2200,5,114,0,0,2189,2190,5,98,0,0,2190,2191,5,105,0,0,2191, 2192,5,116,0,0,2192,2193,5,119,0,0,2193,2194,5,105,0,0,2194,2195, 5,115,0,0,2195,2196,5,101,0,0,2196,2197,5,95,0,0,2197,2198,5,111, 0,0,2198,2200,5,114,0,0,2199,2186,1,0,0,0,2199,2189,1,0,0,0,2200, 328,1,0,0,0,2201,2202,5,116,0,0,2202,2203,5,101,0,0,2203,2204,5, 110,0,0,2204,2205,5,115,0,0,2205,2206,5,111,0,0,2206,2207,5,114, 0,0,2207,330,1,0,0,0,2208,2209,5,122,0,0,2209,2210,5,101,0,0,2210, 2211,5,114,0,0,2211,2212,5,111,0,0,2212,2213,5,115,0,0,2213,332, 1,0,0,0,2214,2215,5,111,0,0,2215,2216,5,110,0,0,2216,2217,5,101, 0,0,2217,2218,5,115,0,0,2218,334,1,0,0,0,2219,2220,5,101,0,0,2220, 2221,5,121,0,0,2221,2222,5,101,0,0,2222,336,1,0,0,0,2223,2224,5, 111,0,0,2224,2225,5,110,0,0,2225,2226,5,101,0,0,2226,2227,5,95,0, 0,2227,2228,5,104,0,0,2228,2229,5,111,0,0,2229,2230,5,116,0,0,2230, 338,1,0,0,0,2231,2232,5,109,0,0,2232,2233,5,115,0,0,2233,2234,5, 101,0,0,2234,340,1,0,0,0,2235,2236,5,109,0,0,2236,2237,5,97,0,0, 2237,2238,5,101,0,0,2238,342,1,0,0,0,2239,2240,5,112,0,0,2240,2241, 5,115,0,0,2241,2242,5,110,0,0,2242,2243,5,114,0,0,2243,344,1,0,0, 0,2244,2245,5,119,0,0,2245,2246,5,101,0,0,2246,2247,5,105,0,0,2247, 2248,5,103,0,0,2248,2249,5,104,0,0,2249,2250,5,116,0,0,2250,2251, 5,101,0,0,2251,2252,5,100,0,0,2252,2253,5,95,0,0,2253,2254,5,109, 0,0,2254,2255,5,101,0,0,2255,2256,5,97,0,0,2256,2257,5,110,0,0,2257, 346,1,0,0,0,2258,2259,5,104,0,0,2259,2260,5,117,0,0,2260,2261,5, 98,0,0,2261,2262,5,101,0,0,2262,2263,5,114,0,0,2263,2264,5,95,0, 0,2264,2265,5,108,0,0,2265,2266,5,111,0,0,2266,2267,5,115,0,0,2267, 2268,5,115,0,0,2268,348,1,0,0,0,2269,2270,5,99,0,0,2270,2271,5,114, 0,0,2271,2272,5,111,0,0,2272,2273,5,115,0,0,2273,2274,5,115,0,0, 2274,2275,5,95,0,0,2275,2276,5,101,0,0,2276,2277,5,110,0,0,2277, 2278,5,116,0,0,2278,2279,5,114,0,0,2279,2280,5,111,0,0,2280,2281, 5,112,0,0,2281,2282,5,121,0,0,2282,350,1,0,0,0,2283,2284,5,97,0, 0,2284,2285,5,100,0,0,2285,2286,5,100,0,0,2286,2287,5,95,0,0,2287, 2288,5,107,0,0,2288,2289,5,101,0,0,2289,2290,5,121,0,0,2290,352, 1,0,0,0,2291,2292,5,114,0,0,2292,2293,5,101,0,0,2293,2294,5,109, 0,0,2294,2295,5,111,0,0,2295,2296,5,118,0,0,2296,2297,5,101,0,0, 2297,2298,5,95,0,0,2298,2299,5,107,0,0,2299,2300,5,101,0,0,2300, 2308,5,121,0,0,2301,2302,5,114,0,0,2302,2303,5,109,0,0,2303,2304, 5,95,0,0,2304,2305,5,107,0,0,2305,2306,5,101,0,0,2306,2308,5,121, 0,0,2307,2291,1,0,0,0,2307,2301,1,0,0,0,2308,354,1,0,0,0,2309,2310, 5,115,0,0,2310,2311,5,116,0,0,2311,2312,5,97,0,0,2312,2313,5,99, 0,0,2313,2314,5,107,0,0,2314,2315,5,95,0,0,2315,2316,5,112,0,0,2316, 2317,5,117,0,0,2317,2318,5,115,0,0,2318,2319,5,104,0,0,2319,356, 1,0,0,0,2320,2321,5,115,0,0,2321,2322,5,116,0,0,2322,2323,5,97,0, 0,2323,2324,5,99,0,0,2324,2325,5,107,0,0,2325,2326,5,95,0,0,2326, 2327,5,112,0,0,2327,2328,5,111,0,0,2328,2329,5,112,0,0,2329,358, 1,0,0,0,2330,2331,5,115,0,0,2331,2332,5,116,0,0,2332,2333,5,97,0, 0,2333,2334,5,99,0,0,2334,2335,5,107,0,0,2335,2336,5,95,0,0,2336, 2337,5,99,0,0,2337,2338,5,108,0,0,2338,2339,5,101,0,0,2339,2340, 5,97,0,0,2340,2341,5,114,0,0,2341,360,1,0,0,0,2342,2343,5,115,0, 0,2343,2344,5,116,0,0,2344,2345,5,97,0,0,2345,2346,5,99,0,0,2346, 2347,5,107,0,0,2347,2348,5,95,0,0,2348,2349,5,104,0,0,2349,2350, 5,97,0,0,2350,2351,5,115,0,0,2351,362,1,0,0,0,2352,2353,5,115,0, 0,2353,2354,5,116,0,0,2354,2355,5,97,0,0,2355,2356,5,99,0,0,2356, 2357,5,107,0,0,2357,2358,5,95,0,0,2358,2359,5,103,0,0,2359,2360, 5,101,0,0,2360,2361,5,116,0,0,2361,364,1,0,0,0,2362,2363,5,99,0, 0,2363,2364,5,97,0,0,2364,2383,5,116,0,0,2365,2366,5,99,0,0,2366, 2367,5,111,0,0,2367,2368,5,110,0,0,2368,2369,5,99,0,0,2369,2370, 5,97,0,0,2370,2383,5,116,0,0,2371,2372,5,99,0,0,2372,2373,5,111, 0,0,2373,2374,5,110,0,0,2374,2375,5,99,0,0,2375,2376,5,97,0,0,2376, 2377,5,116,0,0,2377,2378,5,101,0,0,2378,2379,5,110,0,0,2379,2380, 5,97,0,0,2380,2381,5,116,0,0,2381,2383,5,101,0,0,2382,2362,1,0,0, 0,2382,2365,1,0,0,0,2382,2371,1,0,0,0,2383,366,1,0,0,0,2384,2385, 5,115,0,0,2385,2386,5,116,0,0,2386,2387,5,97,0,0,2387,2388,5,99, 0,0,2388,2389,5,107,0,0,2389,368,1,0,0,0,2390,2391,5,110,0,0,2391, 2392,5,111,0,0,2392,2393,5,110,0,0,2393,2394,5,122,0,0,2394,2395, 5,101,0,0,2395,2396,5,114,0,0,2396,2397,5,111,0,0,2397,370,1,0,0, 0,2398,2399,5,105,0,0,2399,2400,5,110,0,0,2400,2401,5,116,0,0,2401, 372,1,0,0,0,2402,2403,5,102,0,0,2403,2404,5,108,0,0,2404,2405,5, 111,0,0,2405,2406,5,97,0,0,2406,2407,5,116,0,0,2407,374,1,0,0,0, 2408,2409,5,117,0,0,2409,2410,5,112,0,0,2410,2411,5,112,0,0,2411, 2412,5,101,0,0,2412,2413,5,114,0,0,2413,376,1,0,0,0,2414,2415,5, 108,0,0,2415,2416,5,111,0,0,2416,2417,5,119,0,0,2417,2418,5,101, 0,0,2418,2419,5,114,0,0,2419,378,1,0,0,0,2420,2421,5,116,0,0,2421, 2422,5,114,0,0,2422,2423,5,105,0,0,2423,2424,5,109,0,0,2424,380, 1,0,0,0,2425,2426,5,115,0,0,2426,2427,5,112,0,0,2427,2428,5,108, 0,0,2428,2429,5,105,0,0,2429,2430,5,116,0,0,2430,382,1,0,0,0,2431, 2432,5,106,0,0,2432,2433,5,111,0,0,2433,2434,5,105,0,0,2434,2435, 5,110,0,0,2435,384,1,0,0,0,2436,2437,5,115,0,0,2437,2438,5,117,0, 0,2438,2439,5,98,0,0,2439,2440,5,115,0,0,2440,2441,5,116,0,0,2441, 2442,5,114,0,0,2442,2443,5,105,0,0,2443,2444,5,110,0,0,2444,2452, 5,103,0,0,2445,2446,5,115,0,0,2446,2447,5,117,0,0,2447,2448,5,98, 0,0,2448,2449,5,115,0,0,2449,2450,5,116,0,0,2450,2452,5,114,0,0, 2451,2436,1,0,0,0,2451,2445,1,0,0,0,2452,386,1,0,0,0,2453,2454,5, 102,0,0,2454,2455,5,105,0,0,2455,2456,5,110,0,0,2456,2457,5,100, 0,0,2457,388,1,0,0,0,2458,2459,5,114,0,0,2459,2460,5,101,0,0,2460, 2461,5,112,0,0,2461,2462,5,108,0,0,2462,2463,5,97,0,0,2463,2464, 5,99,0,0,2464,2465,5,101,0,0,2465,390,1,0,0,0,2466,2467,5,114,0, 0,2467,2468,5,101,0,0,2468,2469,5,103,0,0,2469,2470,5,101,0,0,2470, 2471,5,120,0,0,2471,2472,5,95,0,0,2472,2473,5,115,0,0,2473,2474, 5,101,0,0,2474,2475,5,97,0,0,2475,2476,5,114,0,0,2476,2477,5,99, 0,0,2477,2478,5,104,0,0,2478,392,1,0,0,0,2479,2480,5,114,0,0,2480, 2481,5,101,0,0,2481,2482,5,103,0,0,2482,2483,5,101,0,0,2483,2484, 5,120,0,0,2484,2485,5,95,0,0,2485,2486,5,114,0,0,2486,2487,5,101, 0,0,2487,2488,5,112,0,0,2488,2489,5,108,0,0,2489,2490,5,97,0,0,2490, 2491,5,99,0,0,2491,2492,5,101,0,0,2492,394,1,0,0,0,2493,2494,5,102, 0,0,2494,2495,5,111,0,0,2495,2496,5,114,0,0,2496,2497,5,109,0,0, 2497,2498,5,97,0,0,2498,2499,5,116,0,0,2499,396,1,0,0,0,2500,2501, 5,116,0,0,2501,2502,5,111,0,0,2502,2503,5,95,0,0,2503,2504,5,106, 0,0,2504,2505,5,115,0,0,2505,2506,5,111,0,0,2506,2519,5,110,0,0, 2507,2508,5,106,0,0,2508,2509,5,115,0,0,2509,2510,5,111,0,0,2510, 2511,5,110,0,0,2511,2512,5,95,0,0,2512,2513,5,101,0,0,2513,2514, 5,110,0,0,2514,2515,5,99,0,0,2515,2516,5,111,0,0,2516,2517,5,100, 0,0,2517,2519,5,101,0,0,2518,2500,1,0,0,0,2518,2507,1,0,0,0,2519, 398,1,0,0,0,2520,2521,5,102,0,0,2521,2522,5,114,0,0,2522,2523,5, 111,0,0,2523,2524,5,109,0,0,2524,2525,5,95,0,0,2525,2526,5,106,0, 0,2526,2527,5,115,0,0,2527,2528,5,111,0,0,2528,2541,5,110,0,0,2529, 2530,5,106,0,0,2530,2531,5,115,0,0,2531,2532,5,111,0,0,2532,2533, 5,110,0,0,2533,2534,5,95,0,0,2534,2535,5,100,0,0,2535,2536,5,101, 0,0,2536,2537,5,99,0,0,2537,2538,5,111,0,0,2538,2539,5,100,0,0,2539, 2541,5,101,0,0,2540,2520,1,0,0,0,2540,2529,1,0,0,0,2541,400,1,0, 0,0,2542,2543,5,100,0,0,2543,2544,5,105,0,0,2544,2545,5,108,0,0, 2545,2546,5,97,0,0,2546,2547,5,116,0,0,2547,2548,5,101,0,0,2548, 402,1,0,0,0,2549,2550,5,101,0,0,2550,2551,5,114,0,0,2551,2552,5, 111,0,0,2552,2553,5,100,0,0,2553,2554,5,101,0,0,2554,404,1,0,0,0, 2555,2556,5,109,0,0,2556,2557,5,111,0,0,2557,2558,5,114,0,0,2558, 2559,5,112,0,0,2559,2560,5,104,0,0,2560,2561,5,95,0,0,2561,2562, 5,111,0,0,2562,2563,5,112,0,0,2563,2564,5,101,0,0,2564,2565,5,110, 0,0,2565,406,1,0,0,0,2566,2567,5,109,0,0,2567,2568,5,111,0,0,2568, 2569,5,114,0,0,2569,2570,5,112,0,0,2570,2571,5,104,0,0,2571,2572, 5,95,0,0,2572,2573,5,99,0,0,2573,2574,5,108,0,0,2574,2575,5,111, 0,0,2575,2576,5,115,0,0,2576,2577,5,101,0,0,2577,408,1,0,0,0,2578, 2579,5,114,0,0,2579,2580,5,103,0,0,2580,2581,5,98,0,0,2581,2582, 5,95,0,0,2582,2583,5,116,0,0,2583,2584,5,111,0,0,2584,2585,5,95, 0,0,2585,2586,5,111,0,0,2586,2587,5,107,0,0,2587,2588,5,108,0,0, 2588,2589,5,97,0,0,2589,2590,5,98,0,0,2590,410,1,0,0,0,2591,2592, 5,108,0,0,2592,2593,5,117,0,0,2593,2594,5,109,0,0,2594,2595,5,105, 0,0,2595,2596,5,110,0,0,2596,2597,5,97,0,0,2597,2598,5,110,0,0,2598, 2599,5,99,0,0,2599,2600,5,101,0,0,2600,412,1,0,0,0,2601,2602,5,114, 0,0,2602,2603,5,103,0,0,2603,2604,5,98,0,0,2604,2605,5,95,0,0,2605, 2606,5,116,0,0,2606,2607,5,111,0,0,2607,2608,5,95,0,0,2608,2609, 5,99,0,0,2609,2610,5,105,0,0,2610,2611,5,101,0,0,2611,2612,5,108, 0,0,2612,2613,5,97,0,0,2613,2614,5,98,0,0,2614,414,1,0,0,0,2615, 2616,5,111,0,0,2616,2617,5,107,0,0,2617,2618,5,108,0,0,2618,2619, 5,97,0,0,2619,2620,5,98,0,0,2620,2621,5,95,0,0,2621,2622,5,116,0, 0,2622,2623,5,111,0,0,2623,2624,5,95,0,0,2624,2625,5,114,0,0,2625, 2626,5,103,0,0,2626,2627,5,98,0,0,2627,416,1,0,0,0,2628,2629,5,99, 0,0,2629,2630,5,105,0,0,2630,2631,5,101,0,0,2631,2632,5,108,0,0, 2632,2633,5,97,0,0,2633,2634,5,98,0,0,2634,2635,5,95,0,0,2635,2636, 5,116,0,0,2636,2637,5,111,0,0,2637,2638,5,95,0,0,2638,2639,5,114, 0,0,2639,2640,5,103,0,0,2640,2641,5,98,0,0,2641,418,1,0,0,0,2642, 2643,5,114,0,0,2643,2644,5,103,0,0,2644,2645,5,98,0,0,2645,2646, 5,95,0,0,2646,2647,5,116,0,0,2647,2648,5,111,0,0,2648,2649,5,95, 0,0,2649,2650,5,104,0,0,2650,2651,5,115,0,0,2651,2652,5,118,0,0, 2652,420,1,0,0,0,2653,2654,5,104,0,0,2654,2655,5,115,0,0,2655,2656, 5,118,0,0,2656,2657,5,95,0,0,2657,2658,5,116,0,0,2658,2659,5,111, 0,0,2659,2660,5,95,0,0,2660,2661,5,114,0,0,2661,2662,5,103,0,0,2662, 2663,5,98,0,0,2663,422,1,0,0,0,2664,2665,5,105,0,0,2665,2666,5,110, 0,0,2666,2667,5,116,0,0,2667,2668,5,95,0,0,2668,2669,5,116,0,0,2669, 2670,5,111,0,0,2670,2671,5,95,0,0,2671,2672,5,114,0,0,2672,2673, 5,103,0,0,2673,2674,5,98,0,0,2674,424,1,0,0,0,2675,2676,5,114,0, 0,2676,2677,5,103,0,0,2677,2678,5,98,0,0,2678,2679,5,95,0,0,2679, 2680,5,116,0,0,2680,2681,5,111,0,0,2681,2682,5,95,0,0,2682,2683, 5,105,0,0,2683,2684,5,110,0,0,2684,2685,5,116,0,0,2685,426,1,0,0, 0,2686,2687,5,105,0,0,2687,2688,5,110,0,0,2688,2689,5,116,0,0,2689, 2690,5,101,0,0,2690,2691,5,114,0,0,2691,2692,5,112,0,0,2692,2693, 5,111,0,0,2693,2694,5,108,0,0,2694,2695,5,97,0,0,2695,2696,5,116, 0,0,2696,2697,5,101,0,0,2697,2698,5,95,0,0,2698,2699,5,108,0,0,2699, 2700,5,105,0,0,2700,2701,5,110,0,0,2701,2702,5,101,0,0,2702,2703, 5,97,0,0,2703,2704,5,114,0,0,2704,428,1,0,0,0,2705,2706,5,105,0, 0,2706,2707,5,110,0,0,2707,2708,5,116,0,0,2708,2709,5,101,0,0,2709, 2710,5,114,0,0,2710,2711,5,112,0,0,2711,2712,5,111,0,0,2712,2713, 5,108,0,0,2713,2714,5,97,0,0,2714,2715,5,116,0,0,2715,2716,5,101, 0,0,2716,2717,5,95,0,0,2717,2718,5,97,0,0,2718,2719,5,114,0,0,2719, 2720,5,101,0,0,2720,2721,5,97,0,0,2721,430,1,0,0,0,2722,2723,5,105, 0,0,2723,2724,5,110,0,0,2724,2725,5,116,0,0,2725,2726,5,101,0,0, 2726,2727,5,114,0,0,2727,2728,5,112,0,0,2728,2729,5,111,0,0,2729, 2730,5,108,0,0,2730,2731,5,97,0,0,2731,2732,5,116,0,0,2732,2733, 5,101,0,0,2733,2734,5,95,0,0,2734,2735,5,110,0,0,2735,2736,5,101, 0,0,2736,2737,5,97,0,0,2737,2738,5,114,0,0,2738,2739,5,101,0,0,2739, 2740,5,115,0,0,2740,2767,5,116,0,0,2741,2742,5,105,0,0,2742,2743, 5,110,0,0,2743,2744,5,116,0,0,2744,2745,5,101,0,0,2745,2746,5,114, 0,0,2746,2747,5,112,0,0,2747,2748,5,111,0,0,2748,2749,5,108,0,0, 2749,2750,5,97,0,0,2750,2751,5,116,0,0,2751,2752,5,101,0,0,2752, 2753,5,95,0,0,2753,2754,5,110,0,0,2754,2755,5,101,0,0,2755,2756, 5,97,0,0,2756,2757,5,114,0,0,2757,2758,5,101,0,0,2758,2759,5,115, 0,0,2759,2760,5,116,0,0,2760,2761,5,95,0,0,2761,2762,5,101,0,0,2762, 2763,5,120,0,0,2763,2764,5,97,0,0,2764,2765,5,99,0,0,2765,2767,5, 116,0,0,2766,2722,1,0,0,0,2766,2741,1,0,0,0,2767,432,1,0,0,0,2768, 2769,5,116,0,0,2769,2770,5,101,0,0,2770,2771,5,120,0,0,2771,2772, 5,116,0,0,2772,2773,5,95,0,0,2773,2774,5,105,0,0,2774,2775,5,109, 0,0,2775,2776,5,97,0,0,2776,2777,5,103,0,0,2777,2778,5,101,0,0,2778, 434,1,0,0,0,2779,2780,5,97,0,0,2780,2781,5,115,0,0,2781,2782,5,95, 0,0,2782,2783,5,110,0,0,2783,2784,5,101,0,0,2784,2785,5,115,0,0, 2785,2786,5,116,0,0,2786,2787,5,101,0,0,2787,2788,5,100,0,0,2788, 2789,5,95,0,0,2789,2790,5,116,0,0,2790,2791,5,101,0,0,2791,2792, 5,110,0,0,2792,2793,5,115,0,0,2793,2794,5,111,0,0,2794,2805,5,114, 0,0,2795,2796,5,97,0,0,2796,2797,5,115,0,0,2797,2798,5,95,0,0,2798, 2799,5,110,0,0,2799,2800,5,101,0,0,2800,2801,5,115,0,0,2801,2802, 5,116,0,0,2802,2803,5,101,0,0,2803,2805,5,100,0,0,2804,2779,1,0, 0,0,2804,2795,1,0,0,0,2805,436,1,0,0,0,2806,2807,5,115,0,0,2807, 2808,5,118,0,0,2808,2838,5,100,0,0,2809,2810,5,115,0,0,2810,2811, 5,105,0,0,2811,2812,5,110,0,0,2812,2813,5,103,0,0,2813,2814,5,117, 0,0,2814,2815,5,108,0,0,2815,2816,5,97,0,0,2816,2817,5,114,0,0,2817, 2818,5,95,0,0,2818,2819,5,118,0,0,2819,2820,5,97,0,0,2820,2821,5, 108,0,0,2821,2822,5,117,0,0,2822,2823,5,101,0,0,2823,2824,5,95,0, 0,2824,2825,5,100,0,0,2825,2826,5,101,0,0,2826,2827,5,99,0,0,2827, 2828,5,111,0,0,2828,2829,5,109,0,0,2829,2830,5,112,0,0,2830,2831, 5,111,0,0,2831,2832,5,115,0,0,2832,2833,5,105,0,0,2833,2834,5,116, 0,0,2834,2835,5,105,0,0,2835,2836,5,111,0,0,2836,2838,5,110,0,0, 2837,2806,1,0,0,0,2837,2809,1,0,0,0,2838,438,1,0,0,0,2839,2840,5, 100,0,0,2840,2841,5,105,0,0,2841,2842,5,97,0,0,2842,2843,5,103,0, 0,2843,2844,5,111,0,0,2844,2845,5,110,0,0,2845,2846,5,97,0,0,2846, 2847,5,108,0,0,2847,2848,5,95,0,0,2848,2849,5,109,0,0,2849,2850, 5,97,0,0,2850,2851,5,116,0,0,2851,2852,5,114,0,0,2852,2853,5,105, 0,0,2853,2859,5,120,0,0,2854,2855,5,100,0,0,2855,2856,5,105,0,0, 2856,2857,5,97,0,0,2857,2859,5,103,0,0,2858,2839,1,0,0,0,2858,2854, 1,0,0,0,2859,440,1,0,0,0,2860,2861,5,105,0,0,2861,2862,5,102,0,0, 2862,442,1,0,0,0,2863,2864,5,101,0,0,2864,2865,5,108,0,0,2865,2866, 5,115,0,0,2866,2867,5,101,0,0,2867,444,1,0,0,0,2868,2869,5,119,0, 0,2869,2870,5,104,0,0,2870,2871,5,105,0,0,2871,2872,5,108,0,0,2872, 2873,5,101,0,0,2873,446,1,0,0,0,2874,2875,5,102,0,0,2875,2876,5, 111,0,0,2876,2877,5,114,0,0,2877,448,1,0,0,0,2878,2879,5,105,0,0, 2879,2880,5,110,0,0,2880,450,1,0,0,0,2881,2882,5,98,0,0,2882,2883, 5,114,0,0,2883,2884,5,101,0,0,2884,2885,5,97,0,0,2885,2886,5,107, 0,0,2886,452,1,0,0,0,2887,2888,5,99,0,0,2888,2889,5,111,0,0,2889, 2890,5,110,0,0,2890,2891,5,116,0,0,2891,2892,5,105,0,0,2892,2893, 5,110,0,0,2893,2894,5,117,0,0,2894,2895,5,101,0,0,2895,454,1,0,0, 0,2896,2897,5,114,0,0,2897,2898,5,101,0,0,2898,2899,5,116,0,0,2899, 2900,5,117,0,0,2900,2901,5,114,0,0,2901,2902,5,110,0,0,2902,456, 1,0,0,0,2903,2904,5,116,0,0,2904,2905,5,105,0,0,2905,2906,5,109, 0,0,2906,2907,5,101,0,0,2907,2908,5,115,0,0,2908,2909,5,116,0,0, 2909,2910,5,97,0,0,2910,2911,5,109,0,0,2911,2916,5,112,0,0,2912, 2913,5,110,0,0,2913,2914,5,111,0,0,2914,2916,5,119,0,0,2915,2903, 1,0,0,0,2915,2912,1,0,0,0,2916,458,1,0,0,0,2917,2918,5,115,0,0,2918, 2919,5,111,0,0,2919,2920,5,114,0,0,2920,2921,5,116,0,0,2921,460, 1,0,0,0,2922,2923,5,97,0,0,2923,2924,5,114,0,0,2924,2925,5,103,0, 0,2925,2926,5,115,0,0,2926,2927,5,111,0,0,2927,2928,5,114,0,0,2928, 2929,5,116,0,0,2929,462,1,0,0,0,2930,2931,5,97,0,0,2931,2932,5,114, 0,0,2932,2933,5,103,0,0,2933,2934,5,109,0,0,2934,2935,5,105,0,0, 2935,2936,5,110,0,0,2936,464,1,0,0,0,2937,2938,5,97,0,0,2938,2939, 5,114,0,0,2939,2940,5,103,0,0,2940,2941,5,109,0,0,2941,2942,5,97, 0,0,2942,2943,5,120,0,0,2943,466,1,0,0,0,2944,2945,5,115,0,0,2945, 2946,5,111,0,0,2946,2947,5,102,0,0,2947,2948,5,116,0,0,2948,2949, 5,109,0,0,2949,2950,5,97,0,0,2950,2951,5,120,0,0,2951,468,1,0,0, 0,2952,2953,5,115,0,0,2953,2954,5,111,0,0,2954,2955,5,102,0,0,2955, 2956,5,116,0,0,2956,2957,5,109,0,0,2957,2958,5,105,0,0,2958,2959, 5,110,0,0,2959,470,1,0,0,0,2960,2961,5,117,0,0,2961,2962,5,110,0, 0,2962,2963,5,105,0,0,2963,2964,5,113,0,0,2964,2965,5,117,0,0,2965, 2966,5,101,0,0,2966,472,1,0,0,0,2967,2968,5,102,0,0,2968,2969,5, 108,0,0,2969,2970,5,105,0,0,2970,2971,5,112,0,0,2971,474,1,0,0,0, 2972,2973,5,115,0,0,2973,2974,5,116,0,0,2974,2975,5,97,0,0,2975, 2976,5,114,0,0,2976,2977,5,116,0,0,2977,2978,5,115,0,0,2978,2979, 5,119,0,0,2979,2980,5,105,0,0,2980,2981,5,116,0,0,2981,2982,5,104, 0,0,2982,476,1,0,0,0,2983,2984,5,101,0,0,2984,2985,5,110,0,0,2985, 2986,5,100,0,0,2986,2987,5,115,0,0,2987,2988,5,119,0,0,2988,2989, 5,105,0,0,2989,2990,5,116,0,0,2990,2991,5,104,0,0,2991,478,1,0,0, 0,2992,2993,5,115,0,0,2993,2994,5,113,0,0,2994,2995,5,117,0,0,2995, 2996,5,101,0,0,2996,2997,5,101,0,0,2997,2998,5,122,0,0,2998,2999, 5,101,0,0,2999,480,1,0,0,0,3000,3001,5,117,0,0,3001,3002,5,110,0, 0,3002,3003,5,115,0,0,3003,3004,5,113,0,0,3004,3005,5,117,0,0,3005, 3006,5,101,0,0,3006,3007,5,101,0,0,3007,3008,5,122,0,0,3008,3009, 5,101,0,0,3009,482,1,0,0,0,3010,3011,5,114,0,0,3011,3012,5,111,0, 0,3012,3013,5,108,0,0,3013,3014,5,108,0,0,3014,484,1,0,0,0,3015, 3016,5,99,0,0,3016,3017,5,111,0,0,3017,3018,5,118,0,0,3018,486,1, 0,0,0,3019,3020,5,99,0,0,3020,3021,5,111,0,0,3021,3022,5,114,0,0, 3022,3035,5,114,0,0,3023,3024,5,99,0,0,3024,3025,5,111,0,0,3025, 3026,5,114,0,0,3026,3027,5,114,0,0,3027,3028,5,101,0,0,3028,3029, 5,108,0,0,3029,3030,5,97,0,0,3030,3031,5,116,0,0,3031,3032,5,105, 0,0,3032,3033,5,111,0,0,3033,3035,5,110,0,0,3034,3019,1,0,0,0,3034, 3023,1,0,0,0,3035,488,1,0,0,0,3036,3037,5,101,0,0,3037,3038,5,110, 0,0,3038,3039,5,116,0,0,3039,3040,5,114,0,0,3040,3041,5,111,0,0, 3041,3042,5,112,0,0,3042,3043,5,121,0,0,3043,490,1,0,0,0,3044,3045, 5,99,0,0,3045,3046,5,114,0,0,3046,3047,5,111,0,0,3047,3048,5,112, 0,0,3048,492,1,0,0,0,3049,3050,5,110,0,0,3050,3051,5,111,0,0,3051, 3052,5,110,0,0,3052,3066,5,101,0,0,3053,3054,5,78,0,0,3054,3055, 5,111,0,0,3055,3056,5,110,0,0,3056,3066,5,101,0,0,3057,3058,5,110, 0,0,3058,3059,5,117,0,0,3059,3060,5,108,0,0,3060,3066,5,108,0,0, 3061,3062,5,78,0,0,3062,3063,5,85,0,0,3063,3064,5,76,0,0,3064,3066, 5,76,0,0,3065,3049,1,0,0,0,3065,3053,1,0,0,0,3065,3057,1,0,0,0,3065, 3061,1,0,0,0,3066,494,1,0,0,0,3067,3068,5,99,0,0,3068,3069,5,111, 0,0,3069,3070,5,111,0,0,3070,3071,5,114,0,0,3071,3072,5,100,0,0, 3072,3085,5,115,0,0,3073,3074,5,99,0,0,3074,3075,5,111,0,0,3075, 3076,5,111,0,0,3076,3077,5,114,0,0,3077,3078,5,100,0,0,3078,3079, 5,105,0,0,3079,3080,5,110,0,0,3080,3081,5,97,0,0,3081,3082,5,116, 0,0,3082,3083,5,101,0,0,3083,3085,5,115,0,0,3084,3067,1,0,0,0,3084, 3073,1,0,0,0,3085,496,1,0,0,0,3086,3087,5,103,0,0,3087,3088,5,97, 0,0,3088,3089,5,116,0,0,3089,3090,5,104,0,0,3090,3091,5,101,0,0, 3091,3092,5,114,0,0,3092,498,1,0,0,0,3093,3094,5,115,0,0,3094,3095, 5,99,0,0,3095,3096,5,97,0,0,3096,3097,5,116,0,0,3097,3098,5,116, 0,0,3098,3099,5,101,0,0,3099,3100,5,114,0,0,3100,500,1,0,0,0,3101, 3102,5,115,0,0,3102,3103,5,99,0,0,3103,3104,5,97,0,0,3104,3105,5, 116,0,0,3105,3106,5,116,0,0,3106,3107,5,101,0,0,3107,3108,5,114, 0,0,3108,3109,5,95,0,0,3109,3110,5,97,0,0,3110,3111,5,100,0,0,3111, 3112,5,100,0,0,3112,502,1,0,0,0,3113,3114,5,110,0,0,3114,3115,5, 111,0,0,3115,3116,5,105,0,0,3116,3117,5,115,0,0,3117,3137,5,101, 0,0,3118,3119,5,114,0,0,3119,3120,5,97,0,0,3120,3121,5,110,0,0,3121, 3122,5,100,0,0,3122,3137,5,110,0,0,3123,3124,5,114,0,0,3124,3125, 5,97,0,0,3125,3126,5,110,0,0,3126,3127,5,100,0,0,3127,3128,5,111, 0,0,3128,3129,5,109,0,0,3129,3130,5,95,0,0,3130,3131,5,110,0,0,3131, 3132,5,111,0,0,3132,3133,5,114,0,0,3133,3134,5,109,0,0,3134,3135, 5,97,0,0,3135,3137,5,108,0,0,3136,3113,1,0,0,0,3136,3118,1,0,0,0, 3136,3123,1,0,0,0,3137,504,1,0,0,0,3138,3139,5,112,0,0,3139,3140, 5,105,0,0,3140,3141,5,110,0,0,3141,3142,5,107,0,0,3142,3143,5,95, 0,0,3143,3144,5,110,0,0,3144,3145,5,111,0,0,3145,3146,5,105,0,0, 3146,3147,5,115,0,0,3147,3153,5,101,0,0,3148,3149,5,112,0,0,3149, 3150,5,105,0,0,3150,3151,5,110,0,0,3151,3153,5,107,0,0,3152,3138, 1,0,0,0,3152,3148,1,0,0,0,3153,506,1,0,0,0,3154,3155,5,98,0,0,3155, 3156,5,114,0,0,3156,3157,5,111,0,0,3157,3158,5,119,0,0,3158,3159, 5,110,0,0,3159,3160,5,95,0,0,3160,3161,5,110,0,0,3161,3162,5,111, 0,0,3162,3163,5,105,0,0,3163,3164,5,115,0,0,3164,3171,5,101,0,0, 3165,3166,5,98,0,0,3166,3167,5,114,0,0,3167,3168,5,111,0,0,3168, 3169,5,119,0,0,3169,3171,5,110,0,0,3170,3154,1,0,0,0,3170,3165,1, 0,0,0,3171,508,1,0,0,0,3172,3173,5,114,0,0,3173,3174,5,97,0,0,3174, 3175,5,110,0,0,3175,3196,5,100,0,0,3176,3177,5,114,0,0,3177,3178, 5,97,0,0,3178,3179,5,110,0,0,3179,3180,5,100,0,0,3180,3196,5,117, 0,0,3181,3182,5,114,0,0,3182,3183,5,97,0,0,3183,3184,5,110,0,0,3184, 3185,5,100,0,0,3185,3186,5,111,0,0,3186,3187,5,109,0,0,3187,3188, 5,95,0,0,3188,3189,5,117,0,0,3189,3190,5,110,0,0,3190,3191,5,105, 0,0,3191,3192,5,102,0,0,3192,3193,5,111,0,0,3193,3194,5,114,0,0, 3194,3196,5,109,0,0,3195,3172,1,0,0,0,3195,3176,1,0,0,0,3195,3181, 1,0,0,0,3196,510,1,0,0,0,3197,3198,5,114,0,0,3198,3199,5,97,0,0, 3199,3200,5,110,0,0,3200,3201,5,100,0,0,3201,3216,5,99,0,0,3202, 3203,5,114,0,0,3203,3204,5,97,0,0,3204,3205,5,110,0,0,3205,3206, 5,100,0,0,3206,3207,5,111,0,0,3207,3208,5,109,0,0,3208,3209,5,95, 0,0,3209,3210,5,99,0,0,3210,3211,5,97,0,0,3211,3212,5,117,0,0,3212, 3213,5,99,0,0,3213,3214,5,104,0,0,3214,3216,5,121,0,0,3215,3197, 1,0,0,0,3215,3202,1,0,0,0,3216,512,1,0,0,0,3217,3218,5,114,0,0,3218, 3219,5,97,0,0,3219,3220,5,110,0,0,3220,3221,5,100,0,0,3221,3241, 5,101,0,0,3222,3223,5,114,0,0,3223,3224,5,97,0,0,3224,3225,5,110, 0,0,3225,3226,5,100,0,0,3226,3227,5,111,0,0,3227,3228,5,109,0,0, 3228,3229,5,95,0,0,3229,3230,5,101,0,0,3230,3231,5,120,0,0,3231, 3232,5,112,0,0,3232,3233,5,111,0,0,3233,3234,5,110,0,0,3234,3235, 5,101,0,0,3235,3236,5,110,0,0,3236,3237,5,116,0,0,3237,3238,5,105, 0,0,3238,3239,5,97,0,0,3239,3241,5,108,0,0,3240,3217,1,0,0,0,3240, 3222,1,0,0,0,3241,514,1,0,0,0,3242,3243,5,114,0,0,3243,3244,5,97, 0,0,3244,3245,5,110,0,0,3245,3246,5,100,0,0,3246,3247,5,108,0,0, 3247,3266,5,110,0,0,3248,3249,5,114,0,0,3249,3250,5,97,0,0,3250, 3251,5,110,0,0,3251,3252,5,100,0,0,3252,3253,5,111,0,0,3253,3254, 5,109,0,0,3254,3255,5,95,0,0,3255,3256,5,108,0,0,3256,3257,5,111, 0,0,3257,3258,5,103,0,0,3258,3259,5,95,0,0,3259,3260,5,110,0,0,3260, 3261,5,111,0,0,3261,3262,5,114,0,0,3262,3263,5,109,0,0,3263,3264, 5,97,0,0,3264,3266,5,108,0,0,3265,3242,1,0,0,0,3265,3248,1,0,0,0, 3266,516,1,0,0,0,3267,3268,5,114,0,0,3268,3269,5,97,0,0,3269,3270, 5,110,0,0,3270,3271,5,100,0,0,3271,3289,5,98,0,0,3272,3273,5,114, 0,0,3273,3274,5,97,0,0,3274,3275,5,110,0,0,3275,3276,5,100,0,0,3276, 3277,5,111,0,0,3277,3278,5,109,0,0,3278,3279,5,95,0,0,3279,3280, 5,98,0,0,3280,3281,5,101,0,0,3281,3282,5,114,0,0,3282,3283,5,110, 0,0,3283,3284,5,111,0,0,3284,3285,5,117,0,0,3285,3286,5,108,0,0, 3286,3287,5,108,0,0,3287,3289,5,105,0,0,3288,3267,1,0,0,0,3288,3272, 1,0,0,0,3289,518,1,0,0,0,3290,3291,5,114,0,0,3291,3292,5,97,0,0, 3292,3293,5,110,0,0,3293,3294,5,100,0,0,3294,3310,5,112,0,0,3295, 3296,5,114,0,0,3296,3297,5,97,0,0,3297,3298,5,110,0,0,3298,3299, 5,100,0,0,3299,3300,5,111,0,0,3300,3301,5,109,0,0,3301,3302,5,95, 0,0,3302,3303,5,112,0,0,3303,3304,5,111,0,0,3304,3305,5,105,0,0, 3305,3306,5,115,0,0,3306,3307,5,115,0,0,3307,3308,5,111,0,0,3308, 3310,5,110,0,0,3309,3290,1,0,0,0,3309,3295,1,0,0,0,3310,520,1,0, 0,0,3311,3312,5,114,0,0,3312,3313,5,97,0,0,3313,3314,5,110,0,0,3314, 3315,5,100,0,0,3315,3329,5,103,0,0,3316,3317,5,114,0,0,3317,3318, 5,97,0,0,3318,3319,5,110,0,0,3319,3320,5,100,0,0,3320,3321,5,111, 0,0,3321,3322,5,109,0,0,3322,3323,5,95,0,0,3323,3324,5,103,0,0,3324, 3325,5,97,0,0,3325,3326,5,109,0,0,3326,3327,5,109,0,0,3327,3329, 5,97,0,0,3328,3311,1,0,0,0,3328,3316,1,0,0,0,3329,522,1,0,0,0,3330, 3331,5,114,0,0,3331,3332,5,97,0,0,3332,3333,5,110,0,0,3333,3334, 5,100,0,0,3334,3335,5,98,0,0,3335,3336,5,101,0,0,3336,3337,5,116, 0,0,3337,3350,5,97,0,0,3338,3339,5,114,0,0,3339,3340,5,97,0,0,3340, 3341,5,110,0,0,3341,3342,5,100,0,0,3342,3343,5,111,0,0,3343,3344, 5,109,0,0,3344,3345,5,95,0,0,3345,3346,5,98,0,0,3346,3347,5,101, 0,0,3347,3348,5,116,0,0,3348,3350,5,97,0,0,3349,3330,1,0,0,0,3349, 3338,1,0,0,0,3350,524,1,0,0,0,3351,3352,5,114,0,0,3352,3353,5,97, 0,0,3353,3354,5,110,0,0,3354,3355,5,100,0,0,3355,3371,5,108,0,0, 3356,3357,5,114,0,0,3357,3358,5,97,0,0,3358,3359,5,110,0,0,3359, 3360,5,100,0,0,3360,3361,5,111,0,0,3361,3362,5,109,0,0,3362,3363, 5,95,0,0,3363,3364,5,108,0,0,3364,3365,5,97,0,0,3365,3366,5,112, 0,0,3366,3367,5,108,0,0,3367,3368,5,97,0,0,3368,3369,5,99,0,0,3369, 3371,5,101,0,0,3370,3351,1,0,0,0,3370,3356,1,0,0,0,3371,526,1,0, 0,0,3372,3373,5,114,0,0,3373,3374,5,97,0,0,3374,3375,5,110,0,0,3375, 3376,5,100,0,0,3376,3377,5,103,0,0,3377,3378,5,117,0,0,3378,3379, 5,109,0,0,3379,3380,5,98,0,0,3380,3381,5,101,0,0,3381,3396,5,108, 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, 5,95,0,0,3389,3390,5,103,0,0,3390,3391,5,117,0,0,3391,3392,5,109, 0,0,3392,3393,5,98,0,0,3393,3394,5,101,0,0,3394,3396,5,108,0,0,3395, 3372,1,0,0,0,3395,3382,1,0,0,0,3396,528,1,0,0,0,3397,3398,5,114, 0,0,3398,3399,5,97,0,0,3399,3400,5,110,0,0,3400,3401,5,100,0,0,3401, 3417,5,119,0,0,3402,3403,5,114,0,0,3403,3404,5,97,0,0,3404,3405, 5,110,0,0,3405,3406,5,100,0,0,3406,3407,5,111,0,0,3407,3408,5,109, 0,0,3408,3409,5,95,0,0,3409,3410,5,119,0,0,3410,3411,5,101,0,0,3411, 3412,5,105,0,0,3412,3413,5,98,0,0,3413,3414,5,117,0,0,3414,3415, 5,108,0,0,3415,3417,5,108,0,0,3416,3397,1,0,0,0,3416,3402,1,0,0, 0,3417,530,1,0,0,0,3418,3419,5,114,0,0,3419,3420,5,97,0,0,3420,3421, 5,110,0,0,3421,3422,5,100,0,0,3422,3423,5,99,0,0,3423,3424,5,104, 0,0,3424,3425,5,105,0,0,3425,3438,5,50,0,0,3426,3427,5,114,0,0,3427, 3428,5,97,0,0,3428,3429,5,110,0,0,3429,3430,5,100,0,0,3430,3431, 5,111,0,0,3431,3432,5,109,0,0,3432,3433,5,95,0,0,3433,3434,5,99, 0,0,3434,3435,5,104,0,0,3435,3436,5,105,0,0,3436,3438,5,50,0,0,3437, 3418,1,0,0,0,3437,3426,1,0,0,0,3438,532,1,0,0,0,3439,3440,5,114, 0,0,3440,3441,5,97,0,0,3441,3442,5,110,0,0,3442,3443,5,100,0,0,3443, 3460,5,116,0,0,3444,3445,5,114,0,0,3445,3446,5,97,0,0,3446,3447, 5,110,0,0,3447,3448,5,100,0,0,3448,3449,5,111,0,0,3449,3450,5,109, 0,0,3450,3451,5,95,0,0,3451,3452,5,115,0,0,3452,3453,5,116,0,0,3453, 3454,5,117,0,0,3454,3455,5,100,0,0,3455,3456,5,101,0,0,3456,3457, 5,110,0,0,3457,3458,5,116,0,0,3458,3460,5,116,0,0,3459,3439,1,0, 0,0,3459,3444,1,0,0,0,3460,534,1,0,0,0,3461,3462,5,112,0,0,3462, 3463,5,101,0,0,3463,3464,5,114,0,0,3464,3465,5,108,0,0,3465,3466, 5,105,0,0,3466,3480,5,110,0,0,3467,3468,5,112,0,0,3468,3469,5,101, 0,0,3469,3470,5,114,0,0,3470,3471,5,108,0,0,3471,3472,5,105,0,0, 3472,3473,5,110,0,0,3473,3474,5,95,0,0,3474,3475,5,110,0,0,3475, 3476,5,111,0,0,3476,3477,5,105,0,0,3477,3478,5,115,0,0,3478,3480, 5,101,0,0,3479,3461,1,0,0,0,3479,3467,1,0,0,0,3480,536,1,0,0,0,3481, 3482,5,99,0,0,3482,3483,5,101,0,0,3483,3484,5,108,0,0,3484,3485, 5,108,0,0,3485,3486,5,117,0,0,3486,3487,5,108,0,0,3487,3488,5,97, 0,0,3488,3530,5,114,0,0,3489,3490,5,118,0,0,3490,3491,5,111,0,0, 3491,3492,5,114,0,0,3492,3493,5,111,0,0,3493,3494,5,110,0,0,3494, 3495,5,111,0,0,3495,3530,5,105,0,0,3496,3497,5,119,0,0,3497,3498, 5,111,0,0,3498,3499,5,114,0,0,3499,3500,5,108,0,0,3500,3501,5,101, 0,0,3501,3530,5,121,0,0,3502,3503,5,99,0,0,3503,3504,5,101,0,0,3504, 3505,5,108,0,0,3505,3506,5,108,0,0,3506,3507,5,117,0,0,3507,3508, 5,108,0,0,3508,3509,5,97,0,0,3509,3510,5,114,0,0,3510,3511,5,95, 0,0,3511,3512,5,110,0,0,3512,3513,5,111,0,0,3513,3514,5,105,0,0, 3514,3515,5,115,0,0,3515,3530,5,101,0,0,3516,3517,5,118,0,0,3517, 3518,5,111,0,0,3518,3519,5,114,0,0,3519,3520,5,111,0,0,3520,3521, 5,110,0,0,3521,3522,5,111,0,0,3522,3523,5,105,0,0,3523,3524,5,95, 0,0,3524,3525,5,110,0,0,3525,3526,5,111,0,0,3526,3527,5,105,0,0, 3527,3528,5,115,0,0,3528,3530,5,101,0,0,3529,3481,1,0,0,0,3529,3489, 1,0,0,0,3529,3496,1,0,0,0,3529,3502,1,0,0,0,3529,3516,1,0,0,0,3530, 538,1,0,0,0,3531,3532,5,112,0,0,3532,3533,5,108,0,0,3533,3534,5, 97,0,0,3534,3535,5,115,0,0,3535,3536,5,109,0,0,3536,3560,5,97,0, 0,3537,3538,5,116,0,0,3538,3539,5,117,0,0,3539,3540,5,114,0,0,3540, 3541,5,98,0,0,3541,3542,5,117,0,0,3542,3543,5,108,0,0,3543,3544, 5,101,0,0,3544,3545,5,110,0,0,3545,3546,5,99,0,0,3546,3560,5,101, 0,0,3547,3548,5,112,0,0,3548,3549,5,108,0,0,3549,3550,5,97,0,0,3550, 3551,5,115,0,0,3551,3552,5,109,0,0,3552,3553,5,97,0,0,3553,3554, 5,95,0,0,3554,3555,5,110,0,0,3555,3556,5,111,0,0,3556,3557,5,105, 0,0,3557,3558,5,115,0,0,3558,3560,5,101,0,0,3559,3531,1,0,0,0,3559, 3537,1,0,0,0,3559,3547,1,0,0,0,3560,540,1,0,0,0,3561,3562,5,114, 0,0,3562,3563,5,105,0,0,3563,3564,5,100,0,0,3564,3565,5,103,0,0, 3565,3566,5,101,0,0,3566,3580,5,100,0,0,3567,3568,5,114,0,0,3568, 3569,5,105,0,0,3569,3570,5,100,0,0,3570,3571,5,103,0,0,3571,3572, 5,101,0,0,3572,3573,5,100,0,0,3573,3574,5,95,0,0,3574,3575,5,110, 0,0,3575,3576,5,111,0,0,3576,3577,5,105,0,0,3577,3578,5,115,0,0, 3578,3580,5,101,0,0,3579,3561,1,0,0,0,3579,3567,1,0,0,0,3580,542, 1,0,0,0,3581,3582,5,100,0,0,3582,3583,5,111,0,0,3583,3584,5,109, 0,0,3584,3585,5,97,0,0,3585,3586,5,105,0,0,3586,3587,5,110,0,0,3587, 3588,5,95,0,0,3588,3589,5,119,0,0,3589,3590,5,97,0,0,3590,3591,5, 114,0,0,3591,3610,5,112,0,0,3592,3593,5,100,0,0,3593,3594,5,111, 0,0,3594,3595,5,109,0,0,3595,3596,5,97,0,0,3596,3597,5,105,0,0,3597, 3598,5,110,0,0,3598,3599,5,95,0,0,3599,3600,5,119,0,0,3600,3601, 5,97,0,0,3601,3602,5,114,0,0,3602,3603,5,112,0,0,3603,3604,5,95, 0,0,3604,3605,5,110,0,0,3605,3606,5,111,0,0,3606,3607,5,105,0,0, 3607,3608,5,115,0,0,3608,3610,5,101,0,0,3609,3581,1,0,0,0,3609,3592, 1,0,0,0,3610,544,1,0,0,0,3611,3612,5,43,0,0,3612,546,1,0,0,0,3613, 3614,5,45,0,0,3614,548,1,0,0,0,3615,3616,5,42,0,0,3616,550,1,0,0, 0,3617,3618,5,47,0,0,3618,552,1,0,0,0,3619,3620,5,37,0,0,3620,554, 1,0,0,0,3621,3622,5,94,0,0,3622,556,1,0,0,0,3623,3624,5,60,0,0,3624, 3625,5,60,0,0,3625,558,1,0,0,0,3626,3627,5,62,0,0,3627,3628,5,62, 0,0,3628,560,1,0,0,0,3629,3630,5,62,0,0,3630,3631,5,61,0,0,3631, 562,1,0,0,0,3632,3633,5,62,0,0,3633,564,1,0,0,0,3634,3635,5,60,0, 0,3635,3636,5,61,0,0,3636,566,1,0,0,0,3637,3638,5,60,0,0,3638,568, 1,0,0,0,3639,3640,5,61,0,0,3640,3641,5,61,0,0,3641,570,1,0,0,0,3642, 3643,5,61,0,0,3643,572,1,0,0,0,3644,3645,5,43,0,0,3645,3646,5,61, 0,0,3646,574,1,0,0,0,3647,3648,5,45,0,0,3648,3649,5,61,0,0,3649, 576,1,0,0,0,3650,3651,5,42,0,0,3651,3652,5,61,0,0,3652,578,1,0,0, 0,3653,3654,5,47,0,0,3654,3655,5,61,0,0,3655,580,1,0,0,0,3656,3657, 5,37,0,0,3657,3658,5,61,0,0,3658,582,1,0,0,0,3659,3660,5,33,0,0, 3660,3661,5,61,0,0,3661,584,1,0,0,0,3662,3663,5,124,0,0,3663,586, 1,0,0,0,3664,3665,5,40,0,0,3665,588,1,0,0,0,3666,3667,5,41,0,0,3667, 590,1,0,0,0,3668,3669,5,44,0,0,3669,592,1,0,0,0,3670,3671,5,59,0, 0,3671,594,1,0,0,0,3672,3673,5,45,0,0,3673,3674,5,62,0,0,3674,596, 1,0,0,0,3675,3676,5,91,0,0,3676,598,1,0,0,0,3677,3678,5,93,0,0,3678, 600,1,0,0,0,3679,3680,5,63,0,0,3680,602,1,0,0,0,3681,3682,5,58,0, 0,3682,604,1,0,0,0,3683,3684,5,123,0,0,3684,606,1,0,0,0,3685,3686, 5,125,0,0,3686,608,1,0,0,0,3687,3689,7,0,0,0,3688,3687,1,0,0,0,3689, 3690,1,0,0,0,3690,3688,1,0,0,0,3690,3691,1,0,0,0,3691,3699,1,0,0, 0,3692,3696,5,46,0,0,3693,3695,7,0,0,0,3694,3693,1,0,0,0,3695,3698, 1,0,0,0,3696,3694,1,0,0,0,3696,3697,1,0,0,0,3697,3700,1,0,0,0,3698, 3696,1,0,0,0,3699,3692,1,0,0,0,3699,3700,1,0,0,0,3700,3708,1,0,0, 0,3701,3703,5,46,0,0,3702,3704,7,0,0,0,3703,3702,1,0,0,0,3704,3705, 1,0,0,0,3705,3703,1,0,0,0,3705,3706,1,0,0,0,3706,3708,1,0,0,0,3707, 3688,1,0,0,0,3707,3701,1,0,0,0,3708,3718,1,0,0,0,3709,3711,7,1,0, 0,3710,3712,7,2,0,0,3711,3710,1,0,0,0,3711,3712,1,0,0,0,3712,3714, 1,0,0,0,3713,3715,7,0,0,0,3714,3713,1,0,0,0,3715,3716,1,0,0,0,3716, 3714,1,0,0,0,3716,3717,1,0,0,0,3717,3719,1,0,0,0,3718,3709,1,0,0, 0,3718,3719,1,0,0,0,3719,610,1,0,0,0,3720,3721,5,112,0,0,3721,3726, 5,105,0,0,3722,3723,5,80,0,0,3723,3726,5,73,0,0,3724,3726,7,1,0, 0,3725,3720,1,0,0,0,3725,3722,1,0,0,0,3725,3724,1,0,0,0,3726,612, 1,0,0,0,3727,3733,5,34,0,0,3728,3732,8,3,0,0,3729,3730,5,92,0,0, 3730,3732,9,0,0,0,3731,3728,1,0,0,0,3731,3729,1,0,0,0,3732,3735, 1,0,0,0,3733,3731,1,0,0,0,3733,3734,1,0,0,0,3734,3736,1,0,0,0,3735, 3733,1,0,0,0,3736,3748,5,34,0,0,3737,3743,5,39,0,0,3738,3742,8,4, 0,0,3739,3740,5,92,0,0,3740,3742,9,0,0,0,3741,3738,1,0,0,0,3741, 3739,1,0,0,0,3742,3745,1,0,0,0,3743,3741,1,0,0,0,3743,3744,1,0,0, 0,3744,3746,1,0,0,0,3745,3743,1,0,0,0,3746,3748,5,39,0,0,3747,3727, 1,0,0,0,3747,3737,1,0,0,0,3748,614,1,0,0,0,3749,3753,7,5,0,0,3750, 3752,7,6,0,0,3751,3750,1,0,0,0,3752,3755,1,0,0,0,3753,3751,1,0,0, 0,3753,3754,1,0,0,0,3754,616,1,0,0,0,3755,3753,1,0,0,0,3756,3760, 5,35,0,0,3757,3759,8,7,0,0,3758,3757,1,0,0,0,3759,3762,1,0,0,0,3760, 3758,1,0,0,0,3760,3761,1,0,0,0,3761,3763,1,0,0,0,3762,3760,1,0,0, 0,3763,3764,6,308,0,0,3764,618,1,0,0,0,3765,3766,5,47,0,0,3766,3767, 5,42,0,0,3767,3771,1,0,0,0,3768,3770,9,0,0,0,3769,3768,1,0,0,0,3770, 3773,1,0,0,0,3771,3772,1,0,0,0,3771,3769,1,0,0,0,3772,3774,1,0,0, 0,3773,3771,1,0,0,0,3774,3775,5,42,0,0,3775,3776,5,47,0,0,3776,3777, 1,0,0,0,3777,3778,6,309,0,0,3778,620,1,0,0,0,3779,3781,7,8,0,0,3780, 3779,1,0,0,0,3781,3782,1,0,0,0,3782,3780,1,0,0,0,3782,3783,1,0,0, 0,3783,3784,1,0,0,0,3784,3785,6,310,0,0,3785,622,1,0,0,0,87,0,1010, 1025,1196,1213,1237,1250,1263,1362,1379,1471,1534,1556,1573,1594, 1609,1636,1667,1683,1713,1740,1767,1797,1823,1853,1887,1958,2008, 2028,2049,2120,2144,2167,2184,2199,2307,2382,2451,2518,2540,2766, 2804,2837,2858,2915,3034,3065,3084,3136,3152,3170,3195,3215,3240, 3265,3288,3309,3328,3349,3370,3395,3416,3437,3459,3479,3529,3559, 3579,3609,3690,3696,3699,3705,3707,3711,3716,3718,3725,3731,3733, 3741,3743,3747,3753,3760,3771,3782,1,6,0,0 ] 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 POISSON = 260 GAMMADIST = 261 BETADIST = 262 LAPLACEDIST = 263 GUMBELDIST = 264 WEIBULLDIST = 265 CHI2DIST = 266 STUDENTTDIST = 267 PERLIN = 268 CELLULAR = 269 PLASMA = 270 RIDGED = 271 DOMAIN_WARP = 272 PLUS = 273 MINUS = 274 MULT = 275 DIV = 276 MOD = 277 POW = 278 LSHIFT = 279 RSHIFT = 280 GE = 281 GT = 282 LE = 283 LT = 284 EQ = 285 EQUEALS = 286 PLUS_EQ = 287 MINUS_EQ = 288 MULT_EQ = 289 DIV_EQ = 290 MOD_EQ = 291 NE = 292 PIPE = 293 LPAREN = 294 RPAREN = 295 COMMA = 296 SEMICOLON = 297 ARROW = 298 LBRACKET = 299 RBRACKET = 300 QUESTION = 301 COLON = 302 LBRACE = 303 RBRACE = 304 NUMBER = 305 CONSTANT = 306 STRING = 307 VARIABLE = 308 SL_COMMENT = 309 ML_COMMENT = 310 WS = 311 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", "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", "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