# 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 [ 4,0,222,2579,6,-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, 2,219,7,219,2,220,7,220,2,221,7,221,1,0,1,0,1,0,1,0,1,1,1,1,1,1, 1,1,1,2,1,2,1,2,1,2,1,3,1,3,1,3,1,3,1,3,1,4,1,4,1,4,1,4,1,4,1,5, 1,5,1,5,1,5,1,5,1,6,1,6,1,6,1,6,1,6,1,6,1,7,1,7,1,7,1,7,1,7,1,8, 1,8,1,8,1,8,1,8,1,9,1,9,1,9,1,9,1,9,1,10,1,10,1,10,1,10,1,10,1,10, 1,11,1,11,1,11,1,11,1,11,1,11,1,12,1,12,1,12,1,12,1,12,1,12,1,13, 1,13,1,13,1,13,1,14,1,14,1,14,1,14,1,14,1,15,1,15,1,15,1,16,1,16, 1,16,1,16,1,17,1,17,1,17,1,17,1,18,1,18,1,18,1,18,1,18,1,19,1,19, 1,19,1,19,1,19,1,20,1,20,1,20,1,20,1,20,1,21,1,21,1,21,1,21,1,21, 1,22,1,22,1,22,1,22,1,22,1,22,1,23,1,23,1,23,1,23,1,23,1,23,1,24, 1,24,1,24,1,24,1,24,1,24,1,25,1,25,1,25,1,25,1,25,1,26,1,26,1,26, 1,26,1,26,1,26,1,27,1,27,1,27,1,27,1,27,1,27,1,28,1,28,1,28,1,28, 1,29,1,29,1,29,1,29,1,29,1,30,1,30,1,30,1,30,1,30,1,30,1,31,1,31, 1,31,1,31,1,32,1,32,1,32,1,32,1,32,1,33,1,33,1,33,1,33,1,33,1,33, 1,34,1,34,1,34,1,34,1,34,1,34,1,35,1,35,1,35,1,35,1,35,1,35,1,35, 1,35,1,35,1,35,1,35,1,35,1,35,1,35,1,35,3,35,638,8,35,1,36,1,36, 1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,3,36,653, 8,36,1,37,1,37,1,37,1,37,1,37,1,38,1,38,1,38,1,38,1,38,1,39,1,39, 1,39,1,39,1,39,1,39,1,39,1,39,1,39,1,39,1,39,1,40,1,40,1,40,1,40, 1,40,1,40,1,41,1,41,1,41,1,41,1,41,1,42,1,42,1,42,1,42,1,42,1,42, 1,42,1,42,1,42,1,43,1,43,1,43,1,43,1,43,1,44,1,44,1,44,1,44,1,44, 1,45,1,45,1,45,1,45,1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46, 1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,3,46,729,8,46, 1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47, 1,47,1,47,3,47,746,8,47,1,48,1,48,1,48,1,48,1,48,1,49,1,49,1,49, 1,49,1,49,1,49,1,49,1,49,1,49,1,49,1,49,3,49,764,8,49,1,50,1,50, 1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,3,50,777,8,50,1,51, 1,51,1,51,1,51,1,51,1,51,1,52,1,52,1,52,1,52,1,52,1,52,1,52,1,52, 1,52,1,53,1,53,1,53,1,53,1,53,1,53,1,53,1,53,1,53,1,54,1,54,1,54, 1,54,1,54,1,55,1,55,1,55,1,55,1,55,1,56,1,56,1,56,1,56,1,56,1,57, 1,57,1,57,1,57,1,58,1,58,1,58,1,58,1,58,1,59,1,59,1,59,1,59,1,60, 1,60,1,60,1,60,1,61,1,61,1,61,1,61,1,61,1,61,1,61,1,61,1,61,1,61, 1,61,1,61,1,61,1,61,1,61,3,61,850,8,61,1,62,1,62,1,62,1,62,1,62, 1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,62,3,62,867,8,62, 1,63,1,63,1,63,1,63,1,63,1,63,1,63,1,63,1,63,1,64,1,64,1,64,1,64, 1,65,1,65,1,65,1,65,1,65,1,65,1,65,1,66,1,66,1,66,1,66,1,67,1,67, 1,67,1,67,1,67,1,67,1,67,1,68,1,68,1,68,1,68,1,69,1,69,1,69,1,69, 1,70,1,70,1,70,1,70,1,70,1,71,1,71,1,71,1,71,1,71,1,71,1,71,1,71, 1,71,1,71,1,71,1,71,3,71,925,8,71,1,72,1,72,1,72,1,72,1,72,1,72, 1,72,1,73,1,73,1,73,1,73,1,73,1,74,1,74,1,74,1,74,1,74,1,74,1,74, 1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,76,1,76,1,76,1,76,1,76, 1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76, 1,76,1,76,3,76,974,8,76,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77, 1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,3,77, 996,8,77,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78, 1,78,1,78,1,78,1,78,3,78,1013,8,78,1,79,1,79,1,79,1,79,1,79,1,79, 1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79, 3,79,1034,8,79,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80, 1,80,1,80,1,80,3,80,1049,8,80,1,81,1,81,1,81,1,81,1,81,1,81,1,81, 1,81,1,81,1,81,1,81,1,81,1,81,1,82,1,82,1,82,1,82,1,82,1,82,1,82, 1,82,1,82,1,82,1,82,1,82,3,82,1076,8,82,1,83,1,83,1,83,1,83,1,83, 1,83,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84, 1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,3,84,1107, 8,84,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85, 1,85,1,85,3,85,1123,8,85,1,86,1,86,1,86,1,86,1,86,1,86,1,86,1,86, 1,87,1,87,1,87,1,87,1,87,1,87,1,87,1,88,1,88,1,88,1,88,1,88,1,88, 1,88,1,88,1,88,1,88,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89, 1,89,1,89,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90, 1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90, 1,90,1,90,3,90,1187,8,90,1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,91, 1,91,1,91,1,91,1,91,1,92,1,92,1,92,1,92,1,92,1,92,1,92,1,92,1,92, 1,92,1,92,1,92,1,92,1,92,1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,93, 1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,93, 1,93,3,93,1237,8,93,1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94, 1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94,3,94,1257,8,94,1,95, 1,95,1,95,1,95,1,95,1,95,1,96,1,96,1,96,1,96,1,96,1,96,1,96,1,96, 1,96,1,96,1,96,1,96,1,96,3,96,1278,8,96,1,97,1,97,1,97,1,97,1,97, 1,97,1,97,1,97,1,98,1,98,1,98,1,98,1,99,1,99,1,99,1,99,1,99,1,99, 1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,101,1,101,1,101,1,101, 1,101,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102, 1,102,1,102,1,102,1,102,1,102,3,102,1325,8,102,1,103,1,103,1,103, 1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,103, 1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,103,3,103,1349,8,103, 1,104,1,104,1,104,1,104,1,104,1,104,1,105,1,105,1,105,1,105,1,105, 1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105,3,105, 1372,8,105,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106, 1,106,1,106,1,106,1,106,1,106,1,106,3,106,1389,8,106,1,107,1,107, 1,107,1,107,1,107,1,107,1,107,1,107,1,107,1,107,1,107,1,107,1,107, 3,107,1404,8,107,1,108,1,108,1,108,1,108,1,108,1,108,1,108,1,109, 1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,110, 1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,111,1,111, 1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,112, 1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,113,1,113, 1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,114,1,114,1,114, 1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,114, 1,114,1,114,1,114,1,114,1,114,1,114,3,114,1486,8,114,1,115,1,115, 1,115,1,115,1,116,1,116,1,116,1,116,1,116,1,116,1,117,1,117,1,117, 1,117,1,117,1,117,1,118,1,118,1,118,1,118,1,118,1,118,1,119,1,119, 1,119,1,119,1,119,1,120,1,120,1,120,1,120,1,120,1,120,1,121,1,121, 1,121,1,121,1,121,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122, 1,122,1,122,1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,124,1,124, 1,124,1,124,1,124,1,125,1,125,1,125,1,125,1,125,1,125,1,125,1,125, 1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,127,1,127,1,127,1,127, 1,127,1,127,1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,128, 1,128,1,128,1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129, 1,129,1,129,1,129,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130, 1,130,1,130,1,130,1,130,1,130,1,131,1,131,1,131,1,131,1,131,1,131, 1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,132,1,132,1,132, 1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,133, 1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133, 1,133,1,133,1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134, 1,134,1,134,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135, 1,135,1,135,1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,136, 1,136,1,136,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137, 1,137,1,137,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138, 1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,139, 1,139,1,139,1,139,1,139,1,139,1,139,1,139,1,139,1,139,1,139,1,139, 1,139,1,139,1,139,1,139,1,139,1,140,1,140,1,140,1,140,1,140,1,140, 1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140, 1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140, 1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140, 1,140,1,140,1,140,1,140,1,140,3,140,1770,8,140,1,141,1,141,1,141, 1,142,1,142,1,142,1,142,1,142,1,143,1,143,1,143,1,143,1,143,1,143, 1,144,1,144,1,144,1,144,1,145,1,145,1,145,1,146,1,146,1,146,1,146, 1,146,1,146,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147, 1,148,1,148,1,148,1,148,1,148,1,148,1,148,1,149,1,149,1,149,1,149, 1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,3,149,1827,8,149, 1,150,1,150,1,150,1,150,1,150,1,151,1,151,1,151,1,151,1,151,1,151, 1,151,1,151,1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,153,1,153, 1,153,1,153,1,153,1,153,1,153,1,154,1,154,1,154,1,154,1,154,1,154, 1,154,1,154,1,155,1,155,1,155,1,155,1,155,1,155,1,155,1,155,1,156, 1,156,1,156,1,156,1,156,1,156,1,156,1,157,1,157,1,157,1,157,1,157, 1,158,1,158,1,158,1,158,1,158,1,159,1,159,1,159,1,159,1,160,1,160, 1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160, 1,160,1,160,3,160,1908,8,160,1,161,1,161,1,161,1,161,1,161,1,161, 1,161,1,161,1,162,1,162,1,162,1,162,1,162,1,163,1,163,1,163,1,163, 1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163, 1,163,3,163,1939,8,163,1,164,1,164,1,164,1,164,1,164,1,164,1,164, 1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164, 1,164,1,164,1,164,1,164,1,164,3,164,1964,8,164,1,165,1,165,1,165, 1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165, 1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165,3,165,1989, 8,165,1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166, 1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166,3,166,2009,8,166, 1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167, 1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167, 1,167,3,167,2034,8,167,1,168,1,168,1,168,1,168,1,168,1,168,1,168, 1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168, 1,168,1,168,1,168,1,168,1,168,3,168,2059,8,168,1,169,1,169,1,169, 1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169, 1,169,1,169,1,169,1,169,1,169,1,169,1,169,3,169,2082,8,169,1,170, 1,170,1,170,1,170,1,170,1,170,1,170,1,170,1,170,1,170,1,170,1,170, 1,170,1,170,1,170,1,170,1,170,1,170,1,170,3,170,2103,8,170,1,171, 1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171, 1,171,1,171,1,171,1,171,1,171,3,171,2122,8,171,1,172,1,172,1,172, 1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172, 1,172,1,172,1,172,1,172,1,172,3,172,2143,8,172,1,173,1,173,1,173, 1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173, 1,173,1,173,1,173,1,173,1,173,3,173,2164,8,173,1,174,1,174,1,174, 1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174, 1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,3,174,2189, 8,174,1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175, 1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175,3,175,2210, 8,175,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176, 1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,3,176,2231, 8,176,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177, 1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177,3,177, 2253,8,177,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178, 1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,3,178,2273, 8,178,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179, 1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179, 1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179, 1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179, 1,179,1,179,1,179,1,179,1,179,3,179,2323,8,179,1,180,1,180,1,180, 1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180, 1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180, 1,180,1,180,1,180,3,180,2353,8,180,1,181,1,181,1,181,1,181,1,181, 1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181, 1,181,1,181,3,181,2373,8,181,1,182,1,182,1,182,1,182,1,182,1,182, 1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182, 1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182, 3,182,2403,8,182,1,183,1,183,1,184,1,184,1,185,1,185,1,186,1,186, 1,187,1,187,1,188,1,188,1,189,1,189,1,189,1,190,1,190,1,190,1,191, 1,191,1,191,1,192,1,192,1,193,1,193,1,193,1,194,1,194,1,195,1,195, 1,195,1,196,1,196,1,197,1,197,1,197,1,198,1,198,1,198,1,199,1,199, 1,199,1,200,1,200,1,200,1,201,1,201,1,201,1,202,1,202,1,202,1,203, 1,203,1,204,1,204,1,205,1,205,1,206,1,206,1,207,1,207,1,208,1,208, 1,208,1,209,1,209,1,210,1,210,1,211,1,211,1,212,1,212,1,213,1,213, 1,214,1,214,1,215,4,215,2482,8,215,11,215,12,215,2483,1,215,1,215, 5,215,2488,8,215,10,215,12,215,2491,9,215,3,215,2493,8,215,1,215, 1,215,4,215,2497,8,215,11,215,12,215,2498,3,215,2501,8,215,1,215, 1,215,3,215,2505,8,215,1,215,4,215,2508,8,215,11,215,12,215,2509, 3,215,2512,8,215,1,216,1,216,1,216,1,216,1,216,3,216,2519,8,216, 1,217,1,217,1,217,1,217,5,217,2525,8,217,10,217,12,217,2528,9,217, 1,217,1,217,1,217,1,217,1,217,5,217,2535,8,217,10,217,12,217,2538, 9,217,1,217,3,217,2541,8,217,1,218,1,218,5,218,2545,8,218,10,218, 12,218,2548,9,218,1,219,1,219,5,219,2552,8,219,10,219,12,219,2555, 9,219,1,219,1,219,1,220,1,220,1,220,1,220,5,220,2563,8,220,10,220, 12,220,2566,9,220,1,220,1,220,1,220,1,220,1,220,1,221,4,221,2574, 8,221,11,221,12,221,2575,1,221,1,221,1,2564,0,222,1,1,3,2,5,3,7, 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, 217,435,218,437,219,439,220,441,221,443,222,1,0,9,1,0,48,57,2,0, 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, 97,122,2,0,10,10,13,13,3,0,9,10,13,13,32,32,2659,0,1,1,0,0,0,0,3, 1,0,0,0,0,5,1,0,0,0,0,7,1,0,0,0,0,9,1,0,0,0,0,11,1,0,0,0,0,13,1, 0,0,0,0,15,1,0,0,0,0,17,1,0,0,0,0,19,1,0,0,0,0,21,1,0,0,0,0,23,1, 0,0,0,0,25,1,0,0,0,0,27,1,0,0,0,0,29,1,0,0,0,0,31,1,0,0,0,0,33,1, 0,0,0,0,35,1,0,0,0,0,37,1,0,0,0,0,39,1,0,0,0,0,41,1,0,0,0,0,43,1, 0,0,0,0,45,1,0,0,0,0,47,1,0,0,0,0,49,1,0,0,0,0,51,1,0,0,0,0,53,1, 0,0,0,0,55,1,0,0,0,0,57,1,0,0,0,0,59,1,0,0,0,0,61,1,0,0,0,0,63,1, 0,0,0,0,65,1,0,0,0,0,67,1,0,0,0,0,69,1,0,0,0,0,71,1,0,0,0,0,73,1, 0,0,0,0,75,1,0,0,0,0,77,1,0,0,0,0,79,1,0,0,0,0,81,1,0,0,0,0,83,1, 0,0,0,0,85,1,0,0,0,0,87,1,0,0,0,0,89,1,0,0,0,0,91,1,0,0,0,0,93,1, 0,0,0,0,95,1,0,0,0,0,97,1,0,0,0,0,99,1,0,0,0,0,101,1,0,0,0,0,103, 1,0,0,0,0,105,1,0,0,0,0,107,1,0,0,0,0,109,1,0,0,0,0,111,1,0,0,0, 0,113,1,0,0,0,0,115,1,0,0,0,0,117,1,0,0,0,0,119,1,0,0,0,0,121,1, 0,0,0,0,123,1,0,0,0,0,125,1,0,0,0,0,127,1,0,0,0,0,129,1,0,0,0,0, 131,1,0,0,0,0,133,1,0,0,0,0,135,1,0,0,0,0,137,1,0,0,0,0,139,1,0, 0,0,0,141,1,0,0,0,0,143,1,0,0,0,0,145,1,0,0,0,0,147,1,0,0,0,0,149, 1,0,0,0,0,151,1,0,0,0,0,153,1,0,0,0,0,155,1,0,0,0,0,157,1,0,0,0, 0,159,1,0,0,0,0,161,1,0,0,0,0,163,1,0,0,0,0,165,1,0,0,0,0,167,1, 0,0,0,0,169,1,0,0,0,0,171,1,0,0,0,0,173,1,0,0,0,0,175,1,0,0,0,0, 177,1,0,0,0,0,179,1,0,0,0,0,181,1,0,0,0,0,183,1,0,0,0,0,185,1,0, 0,0,0,187,1,0,0,0,0,189,1,0,0,0,0,191,1,0,0,0,0,193,1,0,0,0,0,195, 1,0,0,0,0,197,1,0,0,0,0,199,1,0,0,0,0,201,1,0,0,0,0,203,1,0,0,0, 0,205,1,0,0,0,0,207,1,0,0,0,0,209,1,0,0,0,0,211,1,0,0,0,0,213,1, 0,0,0,0,215,1,0,0,0,0,217,1,0,0,0,0,219,1,0,0,0,0,221,1,0,0,0,0, 223,1,0,0,0,0,225,1,0,0,0,0,227,1,0,0,0,0,229,1,0,0,0,0,231,1,0, 0,0,0,233,1,0,0,0,0,235,1,0,0,0,0,237,1,0,0,0,0,239,1,0,0,0,0,241, 1,0,0,0,0,243,1,0,0,0,0,245,1,0,0,0,0,247,1,0,0,0,0,249,1,0,0,0, 0,251,1,0,0,0,0,253,1,0,0,0,0,255,1,0,0,0,0,257,1,0,0,0,0,259,1, 0,0,0,0,261,1,0,0,0,0,263,1,0,0,0,0,265,1,0,0,0,0,267,1,0,0,0,0, 269,1,0,0,0,0,271,1,0,0,0,0,273,1,0,0,0,0,275,1,0,0,0,0,277,1,0, 0,0,0,279,1,0,0,0,0,281,1,0,0,0,0,283,1,0,0,0,0,285,1,0,0,0,0,287, 1,0,0,0,0,289,1,0,0,0,0,291,1,0,0,0,0,293,1,0,0,0,0,295,1,0,0,0, 0,297,1,0,0,0,0,299,1,0,0,0,0,301,1,0,0,0,0,303,1,0,0,0,0,305,1, 0,0,0,0,307,1,0,0,0,0,309,1,0,0,0,0,311,1,0,0,0,0,313,1,0,0,0,0, 315,1,0,0,0,0,317,1,0,0,0,0,319,1,0,0,0,0,321,1,0,0,0,0,323,1,0, 0,0,0,325,1,0,0,0,0,327,1,0,0,0,0,329,1,0,0,0,0,331,1,0,0,0,0,333, 1,0,0,0,0,335,1,0,0,0,0,337,1,0,0,0,0,339,1,0,0,0,0,341,1,0,0,0, 0,343,1,0,0,0,0,345,1,0,0,0,0,347,1,0,0,0,0,349,1,0,0,0,0,351,1, 0,0,0,0,353,1,0,0,0,0,355,1,0,0,0,0,357,1,0,0,0,0,359,1,0,0,0,0, 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105,0,0,534,535,5,110,0,0,535,38,1,0,0,0,536,537,5,115,0,0,537,538, 5,109,0,0,538,539,5,97,0,0,539,540,5,120,0,0,540,40,1,0,0,0,541, 542,5,116,0,0,542,543,5,109,0,0,543,544,5,105,0,0,544,545,5,110, 0,0,545,42,1,0,0,0,546,547,5,116,0,0,547,548,5,109,0,0,548,549,5, 97,0,0,549,550,5,120,0,0,550,44,1,0,0,0,551,552,5,116,0,0,552,553, 5,110,0,0,553,554,5,111,0,0,554,555,5,114,0,0,555,556,5,109,0,0, 556,46,1,0,0,0,557,558,5,115,0,0,558,559,5,110,0,0,559,560,5,111, 0,0,560,561,5,114,0,0,561,562,5,109,0,0,562,48,1,0,0,0,563,564,5, 102,0,0,564,565,5,108,0,0,565,566,5,111,0,0,566,567,5,111,0,0,567, 568,5,114,0,0,568,50,1,0,0,0,569,570,5,99,0,0,570,571,5,101,0,0, 571,572,5,105,0,0,572,573,5,108,0,0,573,52,1,0,0,0,574,575,5,114, 0,0,575,576,5,111,0,0,576,577,5,117,0,0,577,578,5,110,0,0,578,579, 5,100,0,0,579,54,1,0,0,0,580,581,5,103,0,0,581,582,5,97,0,0,582, 583,5,109,0,0,583,584,5,109,0,0,584,585,5,97,0,0,585,56,1,0,0,0, 586,587,5,112,0,0,587,588,5,111,0,0,588,589,5,119,0,0,589,58,1,0, 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0,645,646,5,95,0,0,646,647,5,116,0,0,647,648,5,111,0,0,648,649,5, 95,0,0,649,650,5,110,0,0,650,651,5,117,0,0,651,653,5,109,0,0,652, 639,1,0,0,0,652,642,1,0,0,0,653,74,1,0,0,0,654,655,5,108,0,0,655, 656,5,101,0,0,656,657,5,114,0,0,657,658,5,112,0,0,658,76,1,0,0,0, 659,660,5,115,0,0,660,661,5,116,0,0,661,662,5,101,0,0,662,663,5, 112,0,0,663,78,1,0,0,0,664,665,5,115,0,0,665,666,5,109,0,0,666,667, 5,111,0,0,667,668,5,111,0,0,668,669,5,116,0,0,669,670,5,104,0,0, 670,671,5,115,0,0,671,672,5,116,0,0,672,673,5,101,0,0,673,674,5, 112,0,0,674,80,1,0,0,0,675,676,5,102,0,0,676,677,5,114,0,0,677,678, 5,97,0,0,678,679,5,99,0,0,679,680,5,116,0,0,680,82,1,0,0,0,681,682, 5,114,0,0,682,683,5,101,0,0,683,684,5,108,0,0,684,685,5,117,0,0, 685,84,1,0,0,0,686,687,5,115,0,0,687,688,5,111,0,0,688,689,5,102, 0,0,689,690,5,116,0,0,690,691,5,112,0,0,691,692,5,108,0,0,692,693, 5,117,0,0,693,694,5,115,0,0,694,86,1,0,0,0,695,696,5,103,0,0,696, 697,5,101,0,0,697,698,5,108,0,0,698,699,5,117,0,0,699,88,1,0,0,0, 700,701,5,115,0,0,701,702,5,105,0,0,702,703,5,103,0,0,703,704,5, 110,0,0,704,90,1,0,0,0,705,706,5,109,0,0,706,707,5,97,0,0,707,708, 5,112,0,0,708,92,1,0,0,0,709,710,5,101,0,0,710,711,5,122,0,0,711, 712,5,99,0,0,712,713,5,111,0,0,713,714,5,110,0,0,714,715,5,118,0, 0,715,716,5,111,0,0,716,717,5,108,0,0,717,718,5,117,0,0,718,719, 5,116,0,0,719,720,5,105,0,0,720,721,5,111,0,0,721,729,5,110,0,0, 722,723,5,101,0,0,723,724,5,122,0,0,724,725,5,99,0,0,725,726,5,111, 0,0,726,727,5,110,0,0,727,729,5,118,0,0,728,709,1,0,0,0,728,722, 1,0,0,0,729,94,1,0,0,0,730,731,5,99,0,0,731,732,5,111,0,0,732,733, 5,110,0,0,733,734,5,118,0,0,734,735,5,111,0,0,735,736,5,108,0,0, 736,737,5,117,0,0,737,738,5,116,0,0,738,739,5,105,0,0,739,740,5, 111,0,0,740,746,5,110,0,0,741,742,5,99,0,0,742,743,5,111,0,0,743, 744,5,110,0,0,744,746,5,118,0,0,745,730,1,0,0,0,745,741,1,0,0,0, 746,96,1,0,0,0,747,748,5,115,0,0,748,749,5,119,0,0,749,750,5,97, 0,0,750,751,5,112,0,0,751,98,1,0,0,0,752,753,5,112,0,0,753,754,5, 101,0,0,754,755,5,114,0,0,755,756,5,109,0,0,756,757,5,117,0,0,757, 758,5,116,0,0,758,764,5,101,0,0,759,760,5,112,0,0,760,761,5,101, 0,0,761,762,5,114,0,0,762,764,5,109,0,0,763,752,1,0,0,0,763,759, 1,0,0,0,764,100,1,0,0,0,765,766,5,114,0,0,766,767,5,101,0,0,767, 768,5,115,0,0,768,769,5,104,0,0,769,770,5,97,0,0,770,771,5,112,0, 0,771,777,5,101,0,0,772,773,5,114,0,0,773,774,5,115,0,0,774,775, 5,104,0,0,775,777,5,112,0,0,776,765,1,0,0,0,776,772,1,0,0,0,777, 102,1,0,0,0,778,779,5,114,0,0,779,780,5,97,0,0,780,781,5,110,0,0, 781,782,5,103,0,0,782,783,5,101,0,0,783,104,1,0,0,0,784,785,5,108, 0,0,785,786,5,105,0,0,786,787,5,110,0,0,787,788,5,115,0,0,788,789, 5,112,0,0,789,790,5,97,0,0,790,791,5,99,0,0,791,792,5,101,0,0,792, 106,1,0,0,0,793,794,5,108,0,0,794,795,5,111,0,0,795,796,5,103,0, 0,796,797,5,115,0,0,797,798,5,112,0,0,798,799,5,97,0,0,799,800,5, 99,0,0,800,801,5,101,0,0,801,108,1,0,0,0,802,803,5,116,0,0,803,804, 5,111,0,0,804,805,5,112,0,0,805,806,5,107,0,0,806,110,1,0,0,0,807, 808,5,98,0,0,808,809,5,111,0,0,809,810,5,116,0,0,810,811,5,107,0, 0,811,112,1,0,0,0,812,813,5,112,0,0,813,814,5,105,0,0,814,815,5, 110,0,0,815,816,5,118,0,0,816,114,1,0,0,0,817,818,5,115,0,0,818, 819,5,117,0,0,819,820,5,109,0,0,820,116,1,0,0,0,821,822,5,109,0, 0,822,823,5,101,0,0,823,824,5,97,0,0,824,825,5,110,0,0,825,118,1, 0,0,0,826,827,5,115,0,0,827,828,5,116,0,0,828,829,5,100,0,0,829, 120,1,0,0,0,830,831,5,118,0,0,831,832,5,97,0,0,832,833,5,114,0,0, 833,122,1,0,0,0,834,835,5,113,0,0,835,836,5,117,0,0,836,837,5,97, 0,0,837,838,5,114,0,0,838,839,5,116,0,0,839,840,5,105,0,0,840,841, 5,108,0,0,841,850,5,101,0,0,842,843,5,113,0,0,843,844,5,117,0,0, 844,845,5,97,0,0,845,846,5,114,0,0,846,847,5,116,0,0,847,848,5,105, 0,0,848,850,5,108,0,0,849,834,1,0,0,0,849,842,1,0,0,0,850,124,1, 0,0,0,851,852,5,112,0,0,852,853,5,101,0,0,853,854,5,114,0,0,854, 855,5,99,0,0,855,856,5,101,0,0,856,857,5,110,0,0,857,858,5,116,0, 0,858,859,5,105,0,0,859,860,5,108,0,0,860,867,5,101,0,0,861,862, 5,112,0,0,862,863,5,114,0,0,863,864,5,99,0,0,864,865,5,110,0,0,865, 867,5,116,0,0,866,851,1,0,0,0,866,861,1,0,0,0,867,126,1,0,0,0,868, 869,5,113,0,0,869,870,5,117,0,0,870,871,5,97,0,0,871,872,5,110,0, 0,872,873,5,116,0,0,873,874,5,105,0,0,874,875,5,108,0,0,875,876, 5,101,0,0,876,128,1,0,0,0,877,878,5,100,0,0,878,879,5,111,0,0,879, 880,5,116,0,0,880,130,1,0,0,0,881,882,5,109,0,0,882,883,5,111,0, 0,883,884,5,109,0,0,884,885,5,101,0,0,885,886,5,110,0,0,886,887, 5,116,0,0,887,132,1,0,0,0,888,889,5,101,0,0,889,890,5,114,0,0,890, 891,5,102,0,0,891,134,1,0,0,0,892,893,5,101,0,0,893,894,5,114,0, 0,894,895,5,102,0,0,895,896,5,105,0,0,896,897,5,110,0,0,897,898, 5,118,0,0,898,136,1,0,0,0,899,900,5,97,0,0,900,901,5,110,0,0,901, 902,5,121,0,0,902,138,1,0,0,0,903,904,5,97,0,0,904,905,5,108,0,0, 905,906,5,108,0,0,906,140,1,0,0,0,907,908,5,101,0,0,908,909,5,100, 0,0,909,910,5,103,0,0,910,911,5,101,0,0,911,142,1,0,0,0,912,913, 5,98,0,0,913,914,5,108,0,0,914,915,5,117,0,0,915,925,5,114,0,0,916, 917,5,103,0,0,917,918,5,97,0,0,918,919,5,117,0,0,919,920,5,115,0, 0,920,921,5,115,0,0,921,922,5,105,0,0,922,923,5,97,0,0,923,925,5, 110,0,0,924,912,1,0,0,0,924,916,1,0,0,0,925,144,1,0,0,0,926,927, 5,109,0,0,927,928,5,101,0,0,928,929,5,100,0,0,929,930,5,105,0,0, 930,931,5,97,0,0,931,932,5,110,0,0,932,146,1,0,0,0,933,934,5,109, 0,0,934,935,5,111,0,0,935,936,5,100,0,0,936,937,5,101,0,0,937,148, 1,0,0,0,938,939,5,99,0,0,939,940,5,117,0,0,940,941,5,109,0,0,941, 942,5,115,0,0,942,943,5,117,0,0,943,944,5,109,0,0,944,150,1,0,0, 0,945,946,5,99,0,0,946,947,5,117,0,0,947,948,5,109,0,0,948,949,5, 112,0,0,949,950,5,114,0,0,950,951,5,111,0,0,951,952,5,100,0,0,952, 152,1,0,0,0,953,954,5,116,0,0,954,955,5,111,0,0,955,956,5,112,0, 0,956,957,5,107,0,0,957,958,5,95,0,0,958,959,5,105,0,0,959,960,5, 110,0,0,960,974,5,100,0,0,961,962,5,116,0,0,962,963,5,111,0,0,963, 964,5,112,0,0,964,965,5,107,0,0,965,966,5,95,0,0,966,967,5,105,0, 0,967,968,5,110,0,0,968,969,5,100,0,0,969,970,5,105,0,0,970,971, 5,99,0,0,971,972,5,101,0,0,972,974,5,115,0,0,973,953,1,0,0,0,973, 961,1,0,0,0,974,154,1,0,0,0,975,976,5,98,0,0,976,977,5,111,0,0,977, 978,5,116,0,0,978,979,5,107,0,0,979,980,5,95,0,0,980,981,5,105,0, 0,981,982,5,110,0,0,982,996,5,100,0,0,983,984,5,98,0,0,984,985,5, 111,0,0,985,986,5,116,0,0,986,987,5,107,0,0,987,988,5,95,0,0,988, 989,5,105,0,0,989,990,5,110,0,0,990,991,5,100,0,0,991,992,5,105, 0,0,992,993,5,99,0,0,993,994,5,101,0,0,994,996,5,115,0,0,995,975, 1,0,0,0,995,983,1,0,0,0,996,156,1,0,0,0,997,998,5,99,0,0,998,999, 5,117,0,0,999,1000,5,98,0,0,1000,1001,5,105,0,0,1001,1002,5,99,0, 0,1002,1003,5,95,0,0,1003,1004,5,101,0,0,1004,1005,5,97,0,0,1005, 1006,5,115,0,0,1006,1013,5,101,0,0,1007,1008,5,99,0,0,1008,1009, 5,117,0,0,1009,1010,5,98,0,0,1010,1011,5,105,0,0,1011,1013,5,99, 0,0,1012,997,1,0,0,0,1012,1007,1,0,0,0,1013,158,1,0,0,0,1014,1015, 5,101,0,0,1015,1016,5,108,0,0,1016,1017,5,97,0,0,1017,1018,5,115, 0,0,1018,1019,5,116,0,0,1019,1020,5,105,0,0,1020,1021,5,99,0,0,1021, 1022,5,95,0,0,1022,1023,5,101,0,0,1023,1024,5,97,0,0,1024,1025,5, 115,0,0,1025,1034,5,101,0,0,1026,1027,5,101,0,0,1027,1028,5,108, 0,0,1028,1029,5,97,0,0,1029,1030,5,115,0,0,1030,1031,5,116,0,0,1031, 1032,5,105,0,0,1032,1034,5,99,0,0,1033,1014,1,0,0,0,1033,1026,1, 0,0,0,1034,160,1,0,0,0,1035,1036,5,115,0,0,1036,1037,5,105,0,0,1037, 1038,5,110,0,0,1038,1039,5,101,0,0,1039,1040,5,95,0,0,1040,1041, 5,101,0,0,1041,1042,5,97,0,0,1042,1043,5,115,0,0,1043,1049,5,101, 0,0,1044,1045,5,115,0,0,1045,1046,5,105,0,0,1046,1047,5,110,0,0, 1047,1049,5,101,0,0,1048,1035,1,0,0,0,1048,1044,1,0,0,0,1049,162, 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, 1056,1057,5,101,0,0,1057,1058,5,114,0,0,1058,1059,5,115,0,0,1059, 1060,5,116,0,0,1060,1061,5,101,0,0,1061,1062,5,112,0,0,1062,164, 1,0,0,0,1063,1064,5,100,0,0,1064,1065,5,105,0,0,1065,1066,5,115, 0,0,1066,1076,5,116,0,0,1067,1068,5,100,0,0,1068,1069,5,105,0,0, 1069,1070,5,115,0,0,1070,1071,5,116,0,0,1071,1072,5,97,0,0,1072, 1073,5,110,0,0,1073,1074,5,99,0,0,1074,1076,5,101,0,0,1075,1063, 1,0,0,0,1075,1067,1,0,0,0,1076,166,1,0,0,0,1077,1078,5,114,0,0,1078, 1079,5,101,0,0,1079,1080,5,109,0,0,1080,1081,5,97,0,0,1081,1082, 5,112,0,0,1082,168,1,0,0,0,1083,1084,5,99,0,0,1084,1085,5,111,0, 0,1085,1086,5,115,0,0,1086,1087,5,115,0,0,1087,1088,5,105,0,0,1088, 1107,5,109,0,0,1089,1090,5,99,0,0,1090,1091,5,111,0,0,1091,1092, 5,115,0,0,1092,1093,5,105,0,0,1093,1094,5,110,0,0,1094,1095,5,101, 0,0,1095,1096,5,95,0,0,1096,1097,5,115,0,0,1097,1098,5,105,0,0,1098, 1099,5,109,0,0,1099,1100,5,105,0,0,1100,1101,5,108,0,0,1101,1102, 5,97,0,0,1102,1103,5,114,0,0,1103,1104,5,105,0,0,1104,1105,5,116, 0,0,1105,1107,5,121,0,0,1106,1083,1,0,0,0,1106,1089,1,0,0,0,1107, 170,1,0,0,0,1108,1109,5,99,0,0,1109,1110,5,111,0,0,1110,1111,5,117, 0,0,1111,1112,5,110,0,0,1112,1123,5,116,0,0,1113,1114,5,99,0,0,1114, 1115,5,110,0,0,1115,1123,5,116,0,0,1116,1117,5,108,0,0,1117,1118, 5,101,0,0,1118,1119,5,110,0,0,1119,1120,5,103,0,0,1120,1121,5,116, 0,0,1121,1123,5,104,0,0,1122,1108,1,0,0,0,1122,1113,1,0,0,0,1122, 1116,1,0,0,0,1123,172,1,0,0,0,1124,1125,5,102,0,0,1125,1126,5,108, 0,0,1126,1127,5,97,0,0,1127,1128,5,116,0,0,1128,1129,5,116,0,0,1129, 1130,5,101,0,0,1130,1131,5,110,0,0,1131,174,1,0,0,0,1132,1133,5, 97,0,0,1133,1134,5,112,0,0,1134,1135,5,112,0,0,1135,1136,5,101,0, 0,1136,1137,5,110,0,0,1137,1138,5,100,0,0,1138,176,1,0,0,0,1139, 1140,5,103,0,0,1140,1141,5,101,0,0,1141,1142,5,116,0,0,1142,1143, 5,95,0,0,1143,1144,5,118,0,0,1144,1145,5,97,0,0,1145,1146,5,108, 0,0,1146,1147,5,117,0,0,1147,1148,5,101,0,0,1148,178,1,0,0,0,1149, 1150,5,102,0,0,1150,1151,5,108,0,0,1151,1152,5,111,0,0,1152,1153, 5,119,0,0,1153,1154,5,95,0,0,1154,1155,5,97,0,0,1155,1156,5,112, 0,0,1156,1157,5,112,0,0,1157,1158,5,108,0,0,1158,1159,5,121,0,0, 1159,180,1,0,0,0,1160,1161,5,98,0,0,1161,1162,5,97,0,0,1162,1163, 5,116,0,0,1163,1164,5,99,0,0,1164,1165,5,104,0,0,1165,1166,5,95, 0,0,1166,1167,5,115,0,0,1167,1168,5,104,0,0,1168,1169,5,117,0,0, 1169,1170,5,102,0,0,1170,1171,5,102,0,0,1171,1172,5,108,0,0,1172, 1187,5,101,0,0,1173,1174,5,115,0,0,1174,1175,5,104,0,0,1175,1176, 5,117,0,0,1176,1177,5,102,0,0,1177,1178,5,102,0,0,1178,1179,5,108, 0,0,1179,1187,5,101,0,0,1180,1181,5,115,0,0,1181,1182,5,101,0,0, 1182,1183,5,108,0,0,1183,1184,5,101,0,0,1184,1185,5,99,0,0,1185, 1187,5,116,0,0,1186,1160,1,0,0,0,1186,1173,1,0,0,0,1186,1180,1,0, 0,0,1187,182,1,0,0,0,1188,1189,5,109,0,0,1189,1190,5,111,0,0,1190, 1191,5,116,0,0,1191,1192,5,105,0,0,1192,1193,5,111,0,0,1193,1194, 5,110,0,0,1194,1195,5,95,0,0,1195,1196,5,109,0,0,1196,1197,5,97, 0,0,1197,1198,5,115,0,0,1198,1199,5,107,0,0,1199,184,1,0,0,0,1200, 1201,5,102,0,0,1201,1202,5,108,0,0,1202,1203,5,111,0,0,1203,1204, 5,119,0,0,1204,1205,5,95,0,0,1205,1206,5,116,0,0,1206,1207,5,111, 0,0,1207,1208,5,95,0,0,1208,1209,5,105,0,0,1209,1210,5,109,0,0,1210, 1211,5,97,0,0,1211,1212,5,103,0,0,1212,1213,5,101,0,0,1213,186,1, 0,0,0,1214,1215,5,102,0,0,1215,1216,5,108,0,0,1216,1217,5,111,0, 0,1217,1218,5,119,0,0,1218,1219,5,95,0,0,1219,1220,5,109,0,0,1220, 1221,5,97,0,0,1221,1237,5,103,0,0,1222,1223,5,102,0,0,1223,1224, 5,108,0,0,1224,1225,5,111,0,0,1225,1226,5,119,0,0,1226,1227,5,95, 0,0,1227,1228,5,109,0,0,1228,1229,5,97,0,0,1229,1230,5,103,0,0,1230, 1231,5,110,0,0,1231,1232,5,105,0,0,1232,1233,5,116,0,0,1233,1234, 5,117,0,0,1234,1235,5,100,0,0,1235,1237,5,101,0,0,1236,1214,1,0, 0,0,1236,1222,1,0,0,0,1237,188,1,0,0,0,1238,1239,5,102,0,0,1239, 1240,5,108,0,0,1240,1241,5,111,0,0,1241,1242,5,119,0,0,1242,1243, 5,95,0,0,1243,1244,5,97,0,0,1244,1245,5,110,0,0,1245,1257,5,103, 0,0,1246,1247,5,102,0,0,1247,1248,5,108,0,0,1248,1249,5,111,0,0, 1249,1250,5,119,0,0,1250,1251,5,95,0,0,1251,1252,5,97,0,0,1252,1253, 5,110,0,0,1253,1254,5,103,0,0,1254,1255,5,108,0,0,1255,1257,5,101, 0,0,1256,1238,1,0,0,0,1256,1246,1,0,0,0,1257,190,1,0,0,0,1258,1259, 5,119,0,0,1259,1260,5,104,0,0,1260,1261,5,101,0,0,1261,1262,5,114, 0,0,1262,1263,5,101,0,0,1263,192,1,0,0,0,1264,1265,5,104,0,0,1265, 1266,5,105,0,0,1266,1267,5,115,0,0,1267,1268,5,116,0,0,1268,1269, 5,111,0,0,1269,1270,5,103,0,0,1270,1271,5,114,0,0,1271,1272,5,97, 0,0,1272,1278,5,109,0,0,1273,1274,5,104,0,0,1274,1275,5,105,0,0, 1275,1276,5,115,0,0,1276,1278,5,116,0,0,1277,1264,1,0,0,0,1277,1273, 1,0,0,0,1278,194,1,0,0,0,1279,1280,5,111,0,0,1280,1281,5,118,0,0, 1281,1282,5,101,0,0,1282,1283,5,114,0,0,1283,1284,5,108,0,0,1284, 1285,5,97,0,0,1285,1286,5,121,0,0,1286,196,1,0,0,0,1287,1288,5,112, 0,0,1288,1289,5,97,0,0,1289,1290,5,100,0,0,1290,198,1,0,0,0,1291, 1292,5,99,0,0,1292,1293,5,114,0,0,1293,1294,5,111,0,0,1294,1295, 5,115,0,0,1295,1296,5,115,0,0,1296,200,1,0,0,0,1297,1298,5,109,0, 0,1298,1299,5,97,0,0,1299,1300,5,116,0,0,1300,1301,5,109,0,0,1301, 1302,5,117,0,0,1302,1303,5,108,0,0,1303,202,1,0,0,0,1304,1305,5, 114,0,0,1305,1306,5,105,0,0,1306,1307,5,102,0,0,1307,1308,5,101, 0,0,1308,204,1,0,0,0,1309,1310,5,98,0,0,1310,1311,5,110,0,0,1311, 1312,5,111,0,0,1312,1325,5,116,0,0,1313,1314,5,98,0,0,1314,1315, 5,105,0,0,1315,1316,5,116,0,0,1316,1317,5,119,0,0,1317,1318,5,105, 0,0,1318,1319,5,115,0,0,1319,1320,5,101,0,0,1320,1321,5,95,0,0,1321, 1322,5,110,0,0,1322,1323,5,111,0,0,1323,1325,5,116,0,0,1324,1309, 1,0,0,0,1324,1313,1,0,0,0,1325,206,1,0,0,0,1326,1327,5,98,0,0,1327, 1328,5,105,0,0,1328,1329,5,116,0,0,1329,1330,5,99,0,0,1330,1331, 5,111,0,0,1331,1332,5,117,0,0,1332,1333,5,110,0,0,1333,1349,5,116, 0,0,1334,1335,5,112,0,0,1335,1336,5,111,0,0,1336,1337,5,112,0,0, 1337,1338,5,99,0,0,1338,1339,5,111,0,0,1339,1340,5,117,0,0,1340, 1341,5,110,0,0,1341,1349,5,116,0,0,1342,1343,5,112,0,0,1343,1344, 5,111,0,0,1344,1345,5,112,0,0,1345,1346,5,99,0,0,1346,1347,5,110, 0,0,1347,1349,5,116,0,0,1348,1326,1,0,0,0,1348,1334,1,0,0,0,1348, 1342,1,0,0,0,1349,208,1,0,0,0,1350,1351,5,115,0,0,1351,1352,5,104, 0,0,1352,1353,5,97,0,0,1353,1354,5,112,0,0,1354,1355,5,101,0,0,1355, 210,1,0,0,0,1356,1357,5,98,0,0,1357,1358,5,97,0,0,1358,1359,5,110, 0,0,1359,1372,5,100,0,0,1360,1361,5,98,0,0,1361,1362,5,105,0,0,1362, 1363,5,116,0,0,1363,1364,5,119,0,0,1364,1365,5,105,0,0,1365,1366, 5,115,0,0,1366,1367,5,101,0,0,1367,1368,5,95,0,0,1368,1369,5,97, 0,0,1369,1370,5,110,0,0,1370,1372,5,100,0,0,1371,1356,1,0,0,0,1371, 1360,1,0,0,0,1372,212,1,0,0,0,1373,1374,5,98,0,0,1374,1375,5,120, 0,0,1375,1376,5,111,0,0,1376,1389,5,114,0,0,1377,1378,5,98,0,0,1378, 1379,5,105,0,0,1379,1380,5,116,0,0,1380,1381,5,119,0,0,1381,1382, 5,105,0,0,1382,1383,5,115,0,0,1383,1384,5,101,0,0,1384,1385,5,95, 0,0,1385,1386,5,120,0,0,1386,1387,5,111,0,0,1387,1389,5,114,0,0, 1388,1373,1,0,0,0,1388,1377,1,0,0,0,1389,214,1,0,0,0,1390,1391,5, 98,0,0,1391,1392,5,111,0,0,1392,1404,5,114,0,0,1393,1394,5,98,0, 0,1394,1395,5,105,0,0,1395,1396,5,116,0,0,1396,1397,5,119,0,0,1397, 1398,5,105,0,0,1398,1399,5,115,0,0,1399,1400,5,101,0,0,1400,1401, 5,95,0,0,1401,1402,5,111,0,0,1402,1404,5,114,0,0,1403,1390,1,0,0, 0,1403,1393,1,0,0,0,1404,216,1,0,0,0,1405,1406,5,116,0,0,1406,1407, 5,101,0,0,1407,1408,5,110,0,0,1408,1409,5,115,0,0,1409,1410,5,111, 0,0,1410,1411,5,114,0,0,1411,218,1,0,0,0,1412,1413,5,115,0,0,1413, 1414,5,116,0,0,1414,1415,5,97,0,0,1415,1416,5,99,0,0,1416,1417,5, 107,0,0,1417,1418,5,95,0,0,1418,1419,5,112,0,0,1419,1420,5,117,0, 0,1420,1421,5,115,0,0,1421,1422,5,104,0,0,1422,220,1,0,0,0,1423, 1424,5,115,0,0,1424,1425,5,116,0,0,1425,1426,5,97,0,0,1426,1427, 5,99,0,0,1427,1428,5,107,0,0,1428,1429,5,95,0,0,1429,1430,5,112, 0,0,1430,1431,5,111,0,0,1431,1432,5,112,0,0,1432,222,1,0,0,0,1433, 1434,5,115,0,0,1434,1435,5,116,0,0,1435,1436,5,97,0,0,1436,1437, 5,99,0,0,1437,1438,5,107,0,0,1438,1439,5,95,0,0,1439,1440,5,99,0, 0,1440,1441,5,108,0,0,1441,1442,5,101,0,0,1442,1443,5,97,0,0,1443, 1444,5,114,0,0,1444,224,1,0,0,0,1445,1446,5,115,0,0,1446,1447,5, 116,0,0,1447,1448,5,97,0,0,1448,1449,5,99,0,0,1449,1450,5,107,0, 0,1450,1451,5,95,0,0,1451,1452,5,104,0,0,1452,1453,5,97,0,0,1453, 1454,5,115,0,0,1454,226,1,0,0,0,1455,1456,5,115,0,0,1456,1457,5, 116,0,0,1457,1458,5,97,0,0,1458,1459,5,99,0,0,1459,1460,5,107,0, 0,1460,1461,5,95,0,0,1461,1462,5,103,0,0,1462,1463,5,101,0,0,1463, 1464,5,116,0,0,1464,228,1,0,0,0,1465,1466,5,99,0,0,1466,1467,5,97, 0,0,1467,1486,5,116,0,0,1468,1469,5,99,0,0,1469,1470,5,111,0,0,1470, 1471,5,110,0,0,1471,1472,5,99,0,0,1472,1473,5,97,0,0,1473,1486,5, 116,0,0,1474,1475,5,99,0,0,1475,1476,5,111,0,0,1476,1477,5,110,0, 0,1477,1478,5,99,0,0,1478,1479,5,97,0,0,1479,1480,5,116,0,0,1480, 1481,5,101,0,0,1481,1482,5,110,0,0,1482,1483,5,97,0,0,1483,1484, 5,116,0,0,1484,1486,5,101,0,0,1485,1465,1,0,0,0,1485,1468,1,0,0, 0,1485,1474,1,0,0,0,1486,230,1,0,0,0,1487,1488,5,105,0,0,1488,1489, 5,110,0,0,1489,1490,5,116,0,0,1490,232,1,0,0,0,1491,1492,5,102,0, 0,1492,1493,5,108,0,0,1493,1494,5,111,0,0,1494,1495,5,97,0,0,1495, 1496,5,116,0,0,1496,234,1,0,0,0,1497,1498,5,117,0,0,1498,1499,5, 112,0,0,1499,1500,5,112,0,0,1500,1501,5,101,0,0,1501,1502,5,114, 0,0,1502,236,1,0,0,0,1503,1504,5,108,0,0,1504,1505,5,111,0,0,1505, 1506,5,119,0,0,1506,1507,5,101,0,0,1507,1508,5,114,0,0,1508,238, 1,0,0,0,1509,1510,5,116,0,0,1510,1511,5,114,0,0,1511,1512,5,105, 0,0,1512,1513,5,109,0,0,1513,240,1,0,0,0,1514,1515,5,115,0,0,1515, 1516,5,112,0,0,1516,1517,5,108,0,0,1517,1518,5,105,0,0,1518,1519, 5,116,0,0,1519,242,1,0,0,0,1520,1521,5,106,0,0,1521,1522,5,111,0, 0,1522,1523,5,105,0,0,1523,1524,5,110,0,0,1524,244,1,0,0,0,1525, 1526,5,115,0,0,1526,1527,5,117,0,0,1527,1528,5,98,0,0,1528,1529, 5,115,0,0,1529,1530,5,116,0,0,1530,1531,5,114,0,0,1531,1532,5,105, 0,0,1532,1533,5,110,0,0,1533,1534,5,103,0,0,1534,246,1,0,0,0,1535, 1536,5,115,0,0,1536,1537,5,117,0,0,1537,1538,5,98,0,0,1538,1539, 5,115,0,0,1539,1540,5,116,0,0,1540,1541,5,114,0,0,1541,248,1,0,0, 0,1542,1543,5,102,0,0,1543,1544,5,105,0,0,1544,1545,5,110,0,0,1545, 1546,5,100,0,0,1546,250,1,0,0,0,1547,1548,5,114,0,0,1548,1549,5, 101,0,0,1549,1550,5,112,0,0,1550,1551,5,108,0,0,1551,1552,5,97,0, 0,1552,1553,5,99,0,0,1553,1554,5,101,0,0,1554,252,1,0,0,0,1555,1556, 5,100,0,0,1556,1557,5,105,0,0,1557,1558,5,108,0,0,1558,1559,5,97, 0,0,1559,1560,5,116,0,0,1560,1561,5,101,0,0,1561,254,1,0,0,0,1562, 1563,5,101,0,0,1563,1564,5,114,0,0,1564,1565,5,111,0,0,1565,1566, 5,100,0,0,1566,1567,5,101,0,0,1567,256,1,0,0,0,1568,1569,5,109,0, 0,1569,1570,5,111,0,0,1570,1571,5,114,0,0,1571,1572,5,112,0,0,1572, 1573,5,104,0,0,1573,1574,5,95,0,0,1574,1575,5,111,0,0,1575,1576, 5,112,0,0,1576,1577,5,101,0,0,1577,1578,5,110,0,0,1578,258,1,0,0, 0,1579,1580,5,109,0,0,1580,1581,5,111,0,0,1581,1582,5,114,0,0,1582, 1583,5,112,0,0,1583,1584,5,104,0,0,1584,1585,5,95,0,0,1585,1586, 5,99,0,0,1586,1587,5,108,0,0,1587,1588,5,111,0,0,1588,1589,5,115, 0,0,1589,1590,5,101,0,0,1590,260,1,0,0,0,1591,1592,5,114,0,0,1592, 1593,5,103,0,0,1593,1594,5,98,0,0,1594,1595,5,95,0,0,1595,1596,5, 116,0,0,1596,1597,5,111,0,0,1597,1598,5,95,0,0,1598,1599,5,111,0, 0,1599,1600,5,107,0,0,1600,1601,5,108,0,0,1601,1602,5,97,0,0,1602, 1603,5,98,0,0,1603,262,1,0,0,0,1604,1605,5,114,0,0,1605,1606,5,103, 0,0,1606,1607,5,98,0,0,1607,1608,5,95,0,0,1608,1609,5,116,0,0,1609, 1610,5,111,0,0,1610,1611,5,95,0,0,1611,1612,5,99,0,0,1612,1613,5, 105,0,0,1613,1614,5,101,0,0,1614,1615,5,108,0,0,1615,1616,5,97,0, 0,1616,1617,5,98,0,0,1617,264,1,0,0,0,1618,1619,5,111,0,0,1619,1620, 5,107,0,0,1620,1621,5,108,0,0,1621,1622,5,97,0,0,1622,1623,5,98, 0,0,1623,1624,5,95,0,0,1624,1625,5,116,0,0,1625,1626,5,111,0,0,1626, 1627,5,95,0,0,1627,1628,5,114,0,0,1628,1629,5,103,0,0,1629,1630, 5,98,0,0,1630,266,1,0,0,0,1631,1632,5,99,0,0,1632,1633,5,105,0,0, 1633,1634,5,101,0,0,1634,1635,5,108,0,0,1635,1636,5,97,0,0,1636, 1637,5,98,0,0,1637,1638,5,95,0,0,1638,1639,5,116,0,0,1639,1640,5, 111,0,0,1640,1641,5,95,0,0,1641,1642,5,114,0,0,1642,1643,5,103,0, 0,1643,1644,5,98,0,0,1644,268,1,0,0,0,1645,1646,5,114,0,0,1646,1647, 5,103,0,0,1647,1648,5,98,0,0,1648,1649,5,95,0,0,1649,1650,5,116, 0,0,1650,1651,5,111,0,0,1651,1652,5,95,0,0,1652,1653,5,104,0,0,1653, 1654,5,115,0,0,1654,1655,5,118,0,0,1655,270,1,0,0,0,1656,1657,5, 104,0,0,1657,1658,5,115,0,0,1658,1659,5,118,0,0,1659,1660,5,95,0, 0,1660,1661,5,116,0,0,1661,1662,5,111,0,0,1662,1663,5,95,0,0,1663, 1664,5,114,0,0,1664,1665,5,103,0,0,1665,1666,5,98,0,0,1666,272,1, 0,0,0,1667,1668,5,105,0,0,1668,1669,5,110,0,0,1669,1670,5,116,0, 0,1670,1671,5,95,0,0,1671,1672,5,116,0,0,1672,1673,5,111,0,0,1673, 1674,5,95,0,0,1674,1675,5,114,0,0,1675,1676,5,103,0,0,1676,1677, 5,98,0,0,1677,274,1,0,0,0,1678,1679,5,114,0,0,1679,1680,5,103,0, 0,1680,1681,5,98,0,0,1681,1682,5,95,0,0,1682,1683,5,116,0,0,1683, 1684,5,111,0,0,1684,1685,5,95,0,0,1685,1686,5,105,0,0,1686,1687, 5,110,0,0,1687,1688,5,116,0,0,1688,276,1,0,0,0,1689,1690,5,105,0, 0,1690,1691,5,110,0,0,1691,1692,5,116,0,0,1692,1693,5,101,0,0,1693, 1694,5,114,0,0,1694,1695,5,112,0,0,1695,1696,5,111,0,0,1696,1697, 5,108,0,0,1697,1698,5,97,0,0,1698,1699,5,116,0,0,1699,1700,5,101, 0,0,1700,1701,5,95,0,0,1701,1702,5,108,0,0,1702,1703,5,105,0,0,1703, 1704,5,110,0,0,1704,1705,5,101,0,0,1705,1706,5,97,0,0,1706,1707, 5,114,0,0,1707,278,1,0,0,0,1708,1709,5,105,0,0,1709,1710,5,110,0, 0,1710,1711,5,116,0,0,1711,1712,5,101,0,0,1712,1713,5,114,0,0,1713, 1714,5,112,0,0,1714,1715,5,111,0,0,1715,1716,5,108,0,0,1716,1717, 5,97,0,0,1717,1718,5,116,0,0,1718,1719,5,101,0,0,1719,1720,5,95, 0,0,1720,1721,5,97,0,0,1721,1722,5,114,0,0,1722,1723,5,101,0,0,1723, 1724,5,97,0,0,1724,280,1,0,0,0,1725,1726,5,105,0,0,1726,1727,5,110, 0,0,1727,1728,5,116,0,0,1728,1729,5,101,0,0,1729,1730,5,114,0,0, 1730,1731,5,112,0,0,1731,1732,5,111,0,0,1732,1733,5,108,0,0,1733, 1734,5,97,0,0,1734,1735,5,116,0,0,1735,1736,5,101,0,0,1736,1737, 5,95,0,0,1737,1738,5,110,0,0,1738,1739,5,101,0,0,1739,1740,5,97, 0,0,1740,1741,5,114,0,0,1741,1742,5,101,0,0,1742,1743,5,115,0,0, 1743,1770,5,116,0,0,1744,1745,5,105,0,0,1745,1746,5,110,0,0,1746, 1747,5,116,0,0,1747,1748,5,101,0,0,1748,1749,5,114,0,0,1749,1750, 5,112,0,0,1750,1751,5,111,0,0,1751,1752,5,108,0,0,1752,1753,5,97, 0,0,1753,1754,5,116,0,0,1754,1755,5,101,0,0,1755,1756,5,95,0,0,1756, 1757,5,110,0,0,1757,1758,5,101,0,0,1758,1759,5,97,0,0,1759,1760, 5,114,0,0,1760,1761,5,101,0,0,1761,1762,5,115,0,0,1762,1763,5,116, 0,0,1763,1764,5,95,0,0,1764,1765,5,101,0,0,1765,1766,5,120,0,0,1766, 1767,5,97,0,0,1767,1768,5,99,0,0,1768,1770,5,116,0,0,1769,1725,1, 0,0,0,1769,1744,1,0,0,0,1770,282,1,0,0,0,1771,1772,5,105,0,0,1772, 1773,5,102,0,0,1773,284,1,0,0,0,1774,1775,5,101,0,0,1775,1776,5, 108,0,0,1776,1777,5,115,0,0,1777,1778,5,101,0,0,1778,286,1,0,0,0, 1779,1780,5,119,0,0,1780,1781,5,104,0,0,1781,1782,5,105,0,0,1782, 1783,5,108,0,0,1783,1784,5,101,0,0,1784,288,1,0,0,0,1785,1786,5, 102,0,0,1786,1787,5,111,0,0,1787,1788,5,114,0,0,1788,290,1,0,0,0, 1789,1790,5,105,0,0,1790,1791,5,110,0,0,1791,292,1,0,0,0,1792,1793, 5,98,0,0,1793,1794,5,114,0,0,1794,1795,5,101,0,0,1795,1796,5,97, 0,0,1796,1797,5,107,0,0,1797,294,1,0,0,0,1798,1799,5,99,0,0,1799, 1800,5,111,0,0,1800,1801,5,110,0,0,1801,1802,5,116,0,0,1802,1803, 5,105,0,0,1803,1804,5,110,0,0,1804,1805,5,117,0,0,1805,1806,5,101, 0,0,1806,296,1,0,0,0,1807,1808,5,114,0,0,1808,1809,5,101,0,0,1809, 1810,5,116,0,0,1810,1811,5,117,0,0,1811,1812,5,114,0,0,1812,1813, 5,110,0,0,1813,298,1,0,0,0,1814,1815,5,116,0,0,1815,1816,5,105,0, 0,1816,1817,5,109,0,0,1817,1818,5,101,0,0,1818,1819,5,115,0,0,1819, 1820,5,116,0,0,1820,1821,5,97,0,0,1821,1822,5,109,0,0,1822,1827, 5,112,0,0,1823,1824,5,110,0,0,1824,1825,5,111,0,0,1825,1827,5,119, 0,0,1826,1814,1,0,0,0,1826,1823,1,0,0,0,1827,300,1,0,0,0,1828,1829, 5,115,0,0,1829,1830,5,111,0,0,1830,1831,5,114,0,0,1831,1832,5,116, 0,0,1832,302,1,0,0,0,1833,1834,5,97,0,0,1834,1835,5,114,0,0,1835, 1836,5,103,0,0,1836,1837,5,115,0,0,1837,1838,5,111,0,0,1838,1839, 5,114,0,0,1839,1840,5,116,0,0,1840,304,1,0,0,0,1841,1842,5,97,0, 0,1842,1843,5,114,0,0,1843,1844,5,103,0,0,1844,1845,5,109,0,0,1845, 1846,5,105,0,0,1846,1847,5,110,0,0,1847,306,1,0,0,0,1848,1849,5, 97,0,0,1849,1850,5,114,0,0,1850,1851,5,103,0,0,1851,1852,5,109,0, 0,1852,1853,5,97,0,0,1853,1854,5,120,0,0,1854,308,1,0,0,0,1855,1856, 5,115,0,0,1856,1857,5,111,0,0,1857,1858,5,102,0,0,1858,1859,5,116, 0,0,1859,1860,5,109,0,0,1860,1861,5,97,0,0,1861,1862,5,120,0,0,1862, 310,1,0,0,0,1863,1864,5,115,0,0,1864,1865,5,111,0,0,1865,1866,5, 102,0,0,1866,1867,5,116,0,0,1867,1868,5,109,0,0,1868,1869,5,105, 0,0,1869,1870,5,110,0,0,1870,312,1,0,0,0,1871,1872,5,117,0,0,1872, 1873,5,110,0,0,1873,1874,5,105,0,0,1874,1875,5,113,0,0,1875,1876, 5,117,0,0,1876,1877,5,101,0,0,1877,314,1,0,0,0,1878,1879,5,102,0, 0,1879,1880,5,108,0,0,1880,1881,5,105,0,0,1881,1882,5,112,0,0,1882, 316,1,0,0,0,1883,1884,5,114,0,0,1884,1885,5,111,0,0,1885,1886,5, 108,0,0,1886,1887,5,108,0,0,1887,318,1,0,0,0,1888,1889,5,99,0,0, 1889,1890,5,111,0,0,1890,1891,5,118,0,0,1891,320,1,0,0,0,1892,1893, 5,99,0,0,1893,1894,5,111,0,0,1894,1895,5,114,0,0,1895,1908,5,114, 0,0,1896,1897,5,99,0,0,1897,1898,5,111,0,0,1898,1899,5,114,0,0,1899, 1900,5,114,0,0,1900,1901,5,101,0,0,1901,1902,5,108,0,0,1902,1903, 5,97,0,0,1903,1904,5,116,0,0,1904,1905,5,105,0,0,1905,1906,5,111, 0,0,1906,1908,5,110,0,0,1907,1892,1,0,0,0,1907,1896,1,0,0,0,1908, 322,1,0,0,0,1909,1910,5,101,0,0,1910,1911,5,110,0,0,1911,1912,5, 116,0,0,1912,1913,5,114,0,0,1913,1914,5,111,0,0,1914,1915,5,112, 0,0,1915,1916,5,121,0,0,1916,324,1,0,0,0,1917,1918,5,99,0,0,1918, 1919,5,114,0,0,1919,1920,5,111,0,0,1920,1921,5,112,0,0,1921,326, 1,0,0,0,1922,1923,5,110,0,0,1923,1924,5,111,0,0,1924,1925,5,110, 0,0,1925,1939,5,101,0,0,1926,1927,5,78,0,0,1927,1928,5,111,0,0,1928, 1929,5,110,0,0,1929,1939,5,101,0,0,1930,1931,5,110,0,0,1931,1932, 5,117,0,0,1932,1933,5,108,0,0,1933,1939,5,108,0,0,1934,1935,5,78, 0,0,1935,1936,5,85,0,0,1936,1937,5,76,0,0,1937,1939,5,76,0,0,1938, 1922,1,0,0,0,1938,1926,1,0,0,0,1938,1930,1,0,0,0,1938,1934,1,0,0, 0,1939,328,1,0,0,0,1940,1941,5,110,0,0,1941,1942,5,111,0,0,1942, 1943,5,105,0,0,1943,1944,5,115,0,0,1944,1964,5,101,0,0,1945,1946, 5,114,0,0,1946,1947,5,97,0,0,1947,1948,5,110,0,0,1948,1949,5,100, 0,0,1949,1964,5,110,0,0,1950,1951,5,114,0,0,1951,1952,5,97,0,0,1952, 1953,5,110,0,0,1953,1954,5,100,0,0,1954,1955,5,111,0,0,1955,1956, 5,109,0,0,1956,1957,5,95,0,0,1957,1958,5,110,0,0,1958,1959,5,111, 0,0,1959,1960,5,114,0,0,1960,1961,5,109,0,0,1961,1962,5,97,0,0,1962, 1964,5,108,0,0,1963,1940,1,0,0,0,1963,1945,1,0,0,0,1963,1950,1,0, 0,0,1964,330,1,0,0,0,1965,1966,5,114,0,0,1966,1967,5,97,0,0,1967, 1968,5,110,0,0,1968,1989,5,100,0,0,1969,1970,5,114,0,0,1970,1971, 5,97,0,0,1971,1972,5,110,0,0,1972,1973,5,100,0,0,1973,1989,5,117, 0,0,1974,1975,5,114,0,0,1975,1976,5,97,0,0,1976,1977,5,110,0,0,1977, 1978,5,100,0,0,1978,1979,5,111,0,0,1979,1980,5,109,0,0,1980,1981, 5,95,0,0,1981,1982,5,117,0,0,1982,1983,5,110,0,0,1983,1984,5,105, 0,0,1984,1985,5,102,0,0,1985,1986,5,111,0,0,1986,1987,5,114,0,0, 1987,1989,5,109,0,0,1988,1965,1,0,0,0,1988,1969,1,0,0,0,1988,1974, 1,0,0,0,1989,332,1,0,0,0,1990,1991,5,114,0,0,1991,1992,5,97,0,0, 1992,1993,5,110,0,0,1993,1994,5,100,0,0,1994,2009,5,99,0,0,1995, 1996,5,114,0,0,1996,1997,5,97,0,0,1997,1998,5,110,0,0,1998,1999, 5,100,0,0,1999,2000,5,111,0,0,2000,2001,5,109,0,0,2001,2002,5,95, 0,0,2002,2003,5,99,0,0,2003,2004,5,97,0,0,2004,2005,5,117,0,0,2005, 2006,5,99,0,0,2006,2007,5,104,0,0,2007,2009,5,121,0,0,2008,1990, 1,0,0,0,2008,1995,1,0,0,0,2009,334,1,0,0,0,2010,2011,5,114,0,0,2011, 2012,5,97,0,0,2012,2013,5,110,0,0,2013,2014,5,100,0,0,2014,2034, 5,101,0,0,2015,2016,5,114,0,0,2016,2017,5,97,0,0,2017,2018,5,110, 0,0,2018,2019,5,100,0,0,2019,2020,5,111,0,0,2020,2021,5,109,0,0, 2021,2022,5,95,0,0,2022,2023,5,101,0,0,2023,2024,5,120,0,0,2024, 2025,5,112,0,0,2025,2026,5,111,0,0,2026,2027,5,110,0,0,2027,2028, 5,101,0,0,2028,2029,5,110,0,0,2029,2030,5,116,0,0,2030,2031,5,105, 0,0,2031,2032,5,97,0,0,2032,2034,5,108,0,0,2033,2010,1,0,0,0,2033, 2015,1,0,0,0,2034,336,1,0,0,0,2035,2036,5,114,0,0,2036,2037,5,97, 0,0,2037,2038,5,110,0,0,2038,2039,5,100,0,0,2039,2040,5,108,0,0, 2040,2059,5,110,0,0,2041,2042,5,114,0,0,2042,2043,5,97,0,0,2043, 2044,5,110,0,0,2044,2045,5,100,0,0,2045,2046,5,111,0,0,2046,2047, 5,109,0,0,2047,2048,5,95,0,0,2048,2049,5,108,0,0,2049,2050,5,111, 0,0,2050,2051,5,103,0,0,2051,2052,5,95,0,0,2052,2053,5,110,0,0,2053, 2054,5,111,0,0,2054,2055,5,114,0,0,2055,2056,5,109,0,0,2056,2057, 5,97,0,0,2057,2059,5,108,0,0,2058,2035,1,0,0,0,2058,2041,1,0,0,0, 2059,338,1,0,0,0,2060,2061,5,114,0,0,2061,2062,5,97,0,0,2062,2063, 5,110,0,0,2063,2064,5,100,0,0,2064,2082,5,98,0,0,2065,2066,5,114, 0,0,2066,2067,5,97,0,0,2067,2068,5,110,0,0,2068,2069,5,100,0,0,2069, 2070,5,111,0,0,2070,2071,5,109,0,0,2071,2072,5,95,0,0,2072,2073, 5,98,0,0,2073,2074,5,101,0,0,2074,2075,5,114,0,0,2075,2076,5,110, 0,0,2076,2077,5,111,0,0,2077,2078,5,117,0,0,2078,2079,5,108,0,0, 2079,2080,5,108,0,0,2080,2082,5,105,0,0,2081,2060,1,0,0,0,2081,2065, 1,0,0,0,2082,340,1,0,0,0,2083,2084,5,114,0,0,2084,2085,5,97,0,0, 2085,2086,5,110,0,0,2086,2087,5,100,0,0,2087,2103,5,112,0,0,2088, 2089,5,114,0,0,2089,2090,5,97,0,0,2090,2091,5,110,0,0,2091,2092, 5,100,0,0,2092,2093,5,111,0,0,2093,2094,5,109,0,0,2094,2095,5,95, 0,0,2095,2096,5,112,0,0,2096,2097,5,111,0,0,2097,2098,5,105,0,0, 2098,2099,5,115,0,0,2099,2100,5,115,0,0,2100,2101,5,111,0,0,2101, 2103,5,110,0,0,2102,2083,1,0,0,0,2102,2088,1,0,0,0,2103,342,1,0, 0,0,2104,2105,5,114,0,0,2105,2106,5,97,0,0,2106,2107,5,110,0,0,2107, 2108,5,100,0,0,2108,2122,5,103,0,0,2109,2110,5,114,0,0,2110,2111, 5,97,0,0,2111,2112,5,110,0,0,2112,2113,5,100,0,0,2113,2114,5,111, 0,0,2114,2115,5,109,0,0,2115,2116,5,95,0,0,2116,2117,5,103,0,0,2117, 2118,5,97,0,0,2118,2119,5,109,0,0,2119,2120,5,109,0,0,2120,2122, 5,97,0,0,2121,2104,1,0,0,0,2121,2109,1,0,0,0,2122,344,1,0,0,0,2123, 2124,5,114,0,0,2124,2125,5,97,0,0,2125,2126,5,110,0,0,2126,2127, 5,100,0,0,2127,2128,5,98,0,0,2128,2129,5,101,0,0,2129,2130,5,116, 0,0,2130,2143,5,97,0,0,2131,2132,5,114,0,0,2132,2133,5,97,0,0,2133, 2134,5,110,0,0,2134,2135,5,100,0,0,2135,2136,5,111,0,0,2136,2137, 5,109,0,0,2137,2138,5,95,0,0,2138,2139,5,98,0,0,2139,2140,5,101, 0,0,2140,2141,5,116,0,0,2141,2143,5,97,0,0,2142,2123,1,0,0,0,2142, 2131,1,0,0,0,2143,346,1,0,0,0,2144,2145,5,114,0,0,2145,2146,5,97, 0,0,2146,2147,5,110,0,0,2147,2148,5,100,0,0,2148,2164,5,108,0,0, 2149,2150,5,114,0,0,2150,2151,5,97,0,0,2151,2152,5,110,0,0,2152, 2153,5,100,0,0,2153,2154,5,111,0,0,2154,2155,5,109,0,0,2155,2156, 5,95,0,0,2156,2157,5,108,0,0,2157,2158,5,97,0,0,2158,2159,5,112, 0,0,2159,2160,5,108,0,0,2160,2161,5,97,0,0,2161,2162,5,99,0,0,2162, 2164,5,101,0,0,2163,2144,1,0,0,0,2163,2149,1,0,0,0,2164,348,1,0, 0,0,2165,2166,5,114,0,0,2166,2167,5,97,0,0,2167,2168,5,110,0,0,2168, 2169,5,100,0,0,2169,2170,5,103,0,0,2170,2171,5,117,0,0,2171,2172, 5,109,0,0,2172,2173,5,98,0,0,2173,2174,5,101,0,0,2174,2189,5,108, 0,0,2175,2176,5,114,0,0,2176,2177,5,97,0,0,2177,2178,5,110,0,0,2178, 2179,5,100,0,0,2179,2180,5,111,0,0,2180,2181,5,109,0,0,2181,2182, 5,95,0,0,2182,2183,5,103,0,0,2183,2184,5,117,0,0,2184,2185,5,109, 0,0,2185,2186,5,98,0,0,2186,2187,5,101,0,0,2187,2189,5,108,0,0,2188, 2165,1,0,0,0,2188,2175,1,0,0,0,2189,350,1,0,0,0,2190,2191,5,114, 0,0,2191,2192,5,97,0,0,2192,2193,5,110,0,0,2193,2194,5,100,0,0,2194, 2210,5,119,0,0,2195,2196,5,114,0,0,2196,2197,5,97,0,0,2197,2198, 5,110,0,0,2198,2199,5,100,0,0,2199,2200,5,111,0,0,2200,2201,5,109, 0,0,2201,2202,5,95,0,0,2202,2203,5,119,0,0,2203,2204,5,101,0,0,2204, 2205,5,105,0,0,2205,2206,5,98,0,0,2206,2207,5,117,0,0,2207,2208, 5,108,0,0,2208,2210,5,108,0,0,2209,2190,1,0,0,0,2209,2195,1,0,0, 0,2210,352,1,0,0,0,2211,2212,5,114,0,0,2212,2213,5,97,0,0,2213,2214, 5,110,0,0,2214,2215,5,100,0,0,2215,2216,5,99,0,0,2216,2217,5,104, 0,0,2217,2218,5,105,0,0,2218,2231,5,50,0,0,2219,2220,5,114,0,0,2220, 2221,5,97,0,0,2221,2222,5,110,0,0,2222,2223,5,100,0,0,2223,2224, 5,111,0,0,2224,2225,5,109,0,0,2225,2226,5,95,0,0,2226,2227,5,99, 0,0,2227,2228,5,104,0,0,2228,2229,5,105,0,0,2229,2231,5,50,0,0,2230, 2211,1,0,0,0,2230,2219,1,0,0,0,2231,354,1,0,0,0,2232,2233,5,114, 0,0,2233,2234,5,97,0,0,2234,2235,5,110,0,0,2235,2236,5,100,0,0,2236, 2253,5,116,0,0,2237,2238,5,114,0,0,2238,2239,5,97,0,0,2239,2240, 5,110,0,0,2240,2241,5,100,0,0,2241,2242,5,111,0,0,2242,2243,5,109, 0,0,2243,2244,5,95,0,0,2244,2245,5,115,0,0,2245,2246,5,116,0,0,2246, 2247,5,117,0,0,2247,2248,5,100,0,0,2248,2249,5,101,0,0,2249,2250, 5,110,0,0,2250,2251,5,116,0,0,2251,2253,5,116,0,0,2252,2232,1,0, 0,0,2252,2237,1,0,0,0,2253,356,1,0,0,0,2254,2255,5,112,0,0,2255, 2256,5,101,0,0,2256,2257,5,114,0,0,2257,2258,5,108,0,0,2258,2259, 5,105,0,0,2259,2273,5,110,0,0,2260,2261,5,112,0,0,2261,2262,5,101, 0,0,2262,2263,5,114,0,0,2263,2264,5,108,0,0,2264,2265,5,105,0,0, 2265,2266,5,110,0,0,2266,2267,5,95,0,0,2267,2268,5,110,0,0,2268, 2269,5,111,0,0,2269,2270,5,105,0,0,2270,2271,5,115,0,0,2271,2273, 5,101,0,0,2272,2254,1,0,0,0,2272,2260,1,0,0,0,2273,358,1,0,0,0,2274, 2275,5,99,0,0,2275,2276,5,101,0,0,2276,2277,5,108,0,0,2277,2278, 5,108,0,0,2278,2279,5,117,0,0,2279,2280,5,108,0,0,2280,2281,5,97, 0,0,2281,2323,5,114,0,0,2282,2283,5,118,0,0,2283,2284,5,111,0,0, 2284,2285,5,114,0,0,2285,2286,5,111,0,0,2286,2287,5,110,0,0,2287, 2288,5,111,0,0,2288,2323,5,105,0,0,2289,2290,5,119,0,0,2290,2291, 5,111,0,0,2291,2292,5,114,0,0,2292,2293,5,108,0,0,2293,2294,5,101, 0,0,2294,2323,5,121,0,0,2295,2296,5,99,0,0,2296,2297,5,101,0,0,2297, 2298,5,108,0,0,2298,2299,5,108,0,0,2299,2300,5,117,0,0,2300,2301, 5,108,0,0,2301,2302,5,97,0,0,2302,2303,5,114,0,0,2303,2304,5,95, 0,0,2304,2305,5,110,0,0,2305,2306,5,111,0,0,2306,2307,5,105,0,0, 2307,2308,5,115,0,0,2308,2323,5,101,0,0,2309,2310,5,118,0,0,2310, 2311,5,111,0,0,2311,2312,5,114,0,0,2312,2313,5,111,0,0,2313,2314, 5,110,0,0,2314,2315,5,111,0,0,2315,2316,5,105,0,0,2316,2317,5,95, 0,0,2317,2318,5,110,0,0,2318,2319,5,111,0,0,2319,2320,5,105,0,0, 2320,2321,5,115,0,0,2321,2323,5,101,0,0,2322,2274,1,0,0,0,2322,2282, 1,0,0,0,2322,2289,1,0,0,0,2322,2295,1,0,0,0,2322,2309,1,0,0,0,2323, 360,1,0,0,0,2324,2325,5,112,0,0,2325,2326,5,108,0,0,2326,2327,5, 97,0,0,2327,2328,5,115,0,0,2328,2329,5,109,0,0,2329,2353,5,97,0, 0,2330,2331,5,116,0,0,2331,2332,5,117,0,0,2332,2333,5,114,0,0,2333, 2334,5,98,0,0,2334,2335,5,117,0,0,2335,2336,5,108,0,0,2336,2337, 5,101,0,0,2337,2338,5,110,0,0,2338,2339,5,99,0,0,2339,2353,5,101, 0,0,2340,2341,5,112,0,0,2341,2342,5,108,0,0,2342,2343,5,97,0,0,2343, 2344,5,115,0,0,2344,2345,5,109,0,0,2345,2346,5,97,0,0,2346,2347, 5,95,0,0,2347,2348,5,110,0,0,2348,2349,5,111,0,0,2349,2350,5,105, 0,0,2350,2351,5,115,0,0,2351,2353,5,101,0,0,2352,2324,1,0,0,0,2352, 2330,1,0,0,0,2352,2340,1,0,0,0,2353,362,1,0,0,0,2354,2355,5,114, 0,0,2355,2356,5,105,0,0,2356,2357,5,100,0,0,2357,2358,5,103,0,0, 2358,2359,5,101,0,0,2359,2373,5,100,0,0,2360,2361,5,114,0,0,2361, 2362,5,105,0,0,2362,2363,5,100,0,0,2363,2364,5,103,0,0,2364,2365, 5,101,0,0,2365,2366,5,100,0,0,2366,2367,5,95,0,0,2367,2368,5,110, 0,0,2368,2369,5,111,0,0,2369,2370,5,105,0,0,2370,2371,5,115,0,0, 2371,2373,5,101,0,0,2372,2354,1,0,0,0,2372,2360,1,0,0,0,2373,364, 1,0,0,0,2374,2375,5,100,0,0,2375,2376,5,111,0,0,2376,2377,5,109, 0,0,2377,2378,5,97,0,0,2378,2379,5,105,0,0,2379,2380,5,110,0,0,2380, 2381,5,95,0,0,2381,2382,5,119,0,0,2382,2383,5,97,0,0,2383,2384,5, 114,0,0,2384,2403,5,112,0,0,2385,2386,5,100,0,0,2386,2387,5,111, 0,0,2387,2388,5,109,0,0,2388,2389,5,97,0,0,2389,2390,5,105,0,0,2390, 2391,5,110,0,0,2391,2392,5,95,0,0,2392,2393,5,119,0,0,2393,2394, 5,97,0,0,2394,2395,5,114,0,0,2395,2396,5,112,0,0,2396,2397,5,95, 0,0,2397,2398,5,110,0,0,2398,2399,5,111,0,0,2399,2400,5,105,0,0, 2400,2401,5,115,0,0,2401,2403,5,101,0,0,2402,2374,1,0,0,0,2402,2385, 1,0,0,0,2403,366,1,0,0,0,2404,2405,5,43,0,0,2405,368,1,0,0,0,2406, 2407,5,45,0,0,2407,370,1,0,0,0,2408,2409,5,42,0,0,2409,372,1,0,0, 0,2410,2411,5,47,0,0,2411,374,1,0,0,0,2412,2413,5,37,0,0,2413,376, 1,0,0,0,2414,2415,5,94,0,0,2415,378,1,0,0,0,2416,2417,5,60,0,0,2417, 2418,5,60,0,0,2418,380,1,0,0,0,2419,2420,5,62,0,0,2420,2421,5,62, 0,0,2421,382,1,0,0,0,2422,2423,5,62,0,0,2423,2424,5,61,0,0,2424, 384,1,0,0,0,2425,2426,5,62,0,0,2426,386,1,0,0,0,2427,2428,5,60,0, 0,2428,2429,5,61,0,0,2429,388,1,0,0,0,2430,2431,5,60,0,0,2431,390, 1,0,0,0,2432,2433,5,61,0,0,2433,2434,5,61,0,0,2434,392,1,0,0,0,2435, 2436,5,61,0,0,2436,394,1,0,0,0,2437,2438,5,43,0,0,2438,2439,5,61, 0,0,2439,396,1,0,0,0,2440,2441,5,45,0,0,2441,2442,5,61,0,0,2442, 398,1,0,0,0,2443,2444,5,42,0,0,2444,2445,5,61,0,0,2445,400,1,0,0, 0,2446,2447,5,47,0,0,2447,2448,5,61,0,0,2448,402,1,0,0,0,2449,2450, 5,37,0,0,2450,2451,5,61,0,0,2451,404,1,0,0,0,2452,2453,5,33,0,0, 2453,2454,5,61,0,0,2454,406,1,0,0,0,2455,2456,5,124,0,0,2456,408, 1,0,0,0,2457,2458,5,40,0,0,2458,410,1,0,0,0,2459,2460,5,41,0,0,2460, 412,1,0,0,0,2461,2462,5,44,0,0,2462,414,1,0,0,0,2463,2464,5,59,0, 0,2464,416,1,0,0,0,2465,2466,5,45,0,0,2466,2467,5,62,0,0,2467,418, 1,0,0,0,2468,2469,5,91,0,0,2469,420,1,0,0,0,2470,2471,5,93,0,0,2471, 422,1,0,0,0,2472,2473,5,63,0,0,2473,424,1,0,0,0,2474,2475,5,58,0, 0,2475,426,1,0,0,0,2476,2477,5,123,0,0,2477,428,1,0,0,0,2478,2479, 5,125,0,0,2479,430,1,0,0,0,2480,2482,7,0,0,0,2481,2480,1,0,0,0,2482, 2483,1,0,0,0,2483,2481,1,0,0,0,2483,2484,1,0,0,0,2484,2492,1,0,0, 0,2485,2489,5,46,0,0,2486,2488,7,0,0,0,2487,2486,1,0,0,0,2488,2491, 1,0,0,0,2489,2487,1,0,0,0,2489,2490,1,0,0,0,2490,2493,1,0,0,0,2491, 2489,1,0,0,0,2492,2485,1,0,0,0,2492,2493,1,0,0,0,2493,2501,1,0,0, 0,2494,2496,5,46,0,0,2495,2497,7,0,0,0,2496,2495,1,0,0,0,2497,2498, 1,0,0,0,2498,2496,1,0,0,0,2498,2499,1,0,0,0,2499,2501,1,0,0,0,2500, 2481,1,0,0,0,2500,2494,1,0,0,0,2501,2511,1,0,0,0,2502,2504,7,1,0, 0,2503,2505,7,2,0,0,2504,2503,1,0,0,0,2504,2505,1,0,0,0,2505,2507, 1,0,0,0,2506,2508,7,0,0,0,2507,2506,1,0,0,0,2508,2509,1,0,0,0,2509, 2507,1,0,0,0,2509,2510,1,0,0,0,2510,2512,1,0,0,0,2511,2502,1,0,0, 0,2511,2512,1,0,0,0,2512,432,1,0,0,0,2513,2514,5,112,0,0,2514,2519, 5,105,0,0,2515,2516,5,80,0,0,2516,2519,5,73,0,0,2517,2519,7,1,0, 0,2518,2513,1,0,0,0,2518,2515,1,0,0,0,2518,2517,1,0,0,0,2519,434, 1,0,0,0,2520,2526,5,34,0,0,2521,2525,8,3,0,0,2522,2523,5,92,0,0, 2523,2525,9,0,0,0,2524,2521,1,0,0,0,2524,2522,1,0,0,0,2525,2528, 1,0,0,0,2526,2524,1,0,0,0,2526,2527,1,0,0,0,2527,2529,1,0,0,0,2528, 2526,1,0,0,0,2529,2541,5,34,0,0,2530,2536,5,39,0,0,2531,2535,8,4, 0,0,2532,2533,5,92,0,0,2533,2535,9,0,0,0,2534,2531,1,0,0,0,2534, 2532,1,0,0,0,2535,2538,1,0,0,0,2536,2534,1,0,0,0,2536,2537,1,0,0, 0,2537,2539,1,0,0,0,2538,2536,1,0,0,0,2539,2541,5,39,0,0,2540,2520, 1,0,0,0,2540,2530,1,0,0,0,2541,436,1,0,0,0,2542,2546,7,5,0,0,2543, 2545,7,6,0,0,2544,2543,1,0,0,0,2545,2548,1,0,0,0,2546,2544,1,0,0, 0,2546,2547,1,0,0,0,2547,438,1,0,0,0,2548,2546,1,0,0,0,2549,2553, 5,35,0,0,2550,2552,8,7,0,0,2551,2550,1,0,0,0,2552,2555,1,0,0,0,2553, 2551,1,0,0,0,2553,2554,1,0,0,0,2554,2556,1,0,0,0,2555,2553,1,0,0, 0,2556,2557,6,219,0,0,2557,440,1,0,0,0,2558,2559,5,47,0,0,2559,2560, 5,42,0,0,2560,2564,1,0,0,0,2561,2563,9,0,0,0,2562,2561,1,0,0,0,2563, 2566,1,0,0,0,2564,2565,1,0,0,0,2564,2562,1,0,0,0,2565,2567,1,0,0, 0,2566,2564,1,0,0,0,2567,2568,5,42,0,0,2568,2569,5,47,0,0,2569,2570, 1,0,0,0,2570,2571,6,220,0,0,2571,442,1,0,0,0,2572,2574,7,8,0,0,2573, 2572,1,0,0,0,2574,2575,1,0,0,0,2575,2573,1,0,0,0,2575,2576,1,0,0, 0,2576,2577,1,0,0,0,2577,2578,6,221,0,0,2578,444,1,0,0,0,69,0,637, 652,728,745,763,776,849,866,924,973,995,1012,1033,1048,1075,1106, 1122,1186,1236,1256,1277,1324,1348,1371,1388,1403,1485,1769,1826, 1907,1938,1963,1988,2008,2033,2058,2081,2102,2121,2142,2163,2188, 2209,2230,2252,2272,2322,2352,2372,2402,2483,2489,2492,2498,2500, 2504,2509,2511,2518,2524,2526,2534,2536,2540,2546,2553,2564,2575, 1,6,0,0 ] class MathExprLexer(Lexer): atn = ATNDeserializer().deserialize(serializedATN()) decisionsToDFA = [ DFA(ds, i) for i, ds in enumerate(atn.decisionToState) ] SIN = 1 COS = 2 TAN = 3 ASIN = 4 ACOS = 5 ATAN = 6 ATAN2 = 7 SINH = 8 COSH = 9 TANH = 10 ASINH = 11 ACOSH = 12 ATANH = 13 ABS = 14 SQRT = 15 LN = 16 LOG = 17 EXP = 18 SMIN = 19 SMAX = 20 TMIN = 21 TMAX = 22 TNORM = 23 SNORM = 24 FLOOR = 25 CEIL = 26 ROUND = 27 GAMMA = 28 POWE = 29 SIGM = 30 CLAMP = 31 SFFT = 32 SIFFT = 33 ANGL = 34 PRNT = 35 PRINT_SHAPE = 36 NVL = 37 LERP = 38 STEP = 39 SMOOTHSTEP = 40 FRACT = 41 RELU = 42 SOFTPLUS = 43 GELU = 44 SIGN = 45 MAP = 46 EZCONV = 47 CONV = 48 SWAP = 49 PERM = 50 RESHAPE = 51 RANGE = 52 LINSPACE = 53 LOGSPACE = 54 TOPK = 55 BOTK = 56 PINV = 57 SUM = 58 MEAN = 59 STD = 60 VAR = 61 QUARTILE = 62 PERCENTILE = 63 QUANTILE = 64 DOT = 65 MOMENT = 66 ERF = 67 ERFINV = 68 ANY = 69 ALL = 70 EDGE = 71 GAUSSIAN = 72 MEDIAN = 73 MODE = 74 CUMSUM = 75 CUMPROD = 76 TOPK_IND = 77 BOTK_IND = 78 CUBIC_EASE = 79 ELASTIC_EASE = 80 SINE_EASE = 81 SMOOTHERSTEP = 82 DIST = 83 REMAP = 84 COSSIM = 85 COUNT = 86 FLATTEN = 87 APPEND = 88 GET_VALUE = 89 FLOW_APPLY = 90 BATCH_SHUFFLE = 91 MOTION_MASK = 92 FLOW_TO_IMAGE = 93 FLOW_MAG = 94 FLOW_ANG = 95 WHERE = 96 HISTOGRAM = 97 OVERLAY = 98 PAD = 99 CROSS = 100 MATMUL = 101 RIFE = 102 BNOT = 103 BITCOUNT = 104 SHAPE = 105 BAND = 106 XOR = 107 BOR = 108 TENSOR = 109 PUSH = 110 POP = 111 CLEAR = 112 HAS = 113 GET = 114 CONCAT = 115 INT = 116 FLOAT = 117 UPPER = 118 LOWER = 119 TRIM = 120 SPLIT = 121 JOIN = 122 SUBSTRING = 123 SUBSTR = 124 FIND = 125 REPLACE = 126 DILATE = 127 ERODE = 128 MORPH_OPEN = 129 MORPH_CLOSE = 130 RGB_TO_OKLAB = 131 RGB_TO_CIELAB = 132 OKLAB_TO_RGB = 133 CIELAB_TO_RGB = 134 RGB_TO_HSV = 135 HSV_TO_RGB = 136 INT_TO_RGB = 137 RGB_TO_INT = 138 INTERPOLATE_LINEAR = 139 INTERPOLATE_AREA = 140 INTERPOLATE_NEAREST = 141 IF = 142 ELSE = 143 WHILE = 144 FOR = 145 IN = 146 BREAK = 147 CONTINUE = 148 RETURN = 149 TIMESTAMP = 150 SORT = 151 ARGSORT = 152 ARGMIN = 153 ARGMAX = 154 SOFTMAX = 155 SOFTMIN = 156 UNIQUE = 157 FLIP = 158 ROLL = 159 COV = 160 CORR = 161 ENTROPY = 162 CROP = 163 NONE = 164 NOISE = 165 RAND = 166 CAUCHY = 167 EXPONENTIAL = 168 LOGNORMAL = 169 BERNOULLI = 170 POISSON = 171 GAMMADIST = 172 BETADIST = 173 LAPLACEDIST = 174 GUMBELDIST = 175 WEIBULLDIST = 176 CHI2DIST = 177 STUDENTTDIST = 178 PERLIN = 179 CELLULAR = 180 PLASMA = 181 RIDGED = 182 DOMAIN_WARP = 183 PLUS = 184 MINUS = 185 MULT = 186 DIV = 187 MOD = 188 POW = 189 LSHIFT = 190 RSHIFT = 191 GE = 192 GT = 193 LE = 194 LT = 195 EQ = 196 EQUEALS = 197 PLUS_EQ = 198 MINUS_EQ = 199 MULT_EQ = 200 DIV_EQ = 201 MOD_EQ = 202 NE = 203 PIPE = 204 LPAREN = 205 RPAREN = 206 COMMA = 207 SEMICOLON = 208 ARROW = 209 LBRACKET = 210 RBRACKET = 211 QUESTION = 212 COLON = 213 LBRACE = 214 RBRACE = 215 NUMBER = 216 CONSTANT = 217 STRING = 218 VARIABLE = 219 SL_COMMENT = 220 ML_COMMENT = 221 WS = 222 channelNames = [ u"DEFAULT_TOKEN_CHANNEL", u"HIDDEN" ] modeNames = [ "DEFAULT_MODE" ] literalNames = [ "", "'sin'", "'cos'", "'tan'", "'asin'", "'acos'", "'atan'", "'atan2'", "'sinh'", "'cosh'", "'tanh'", "'asinh'", "'acosh'", "'atanh'", "'abs'", "'sqrt'", "'ln'", "'log'", "'exp'", "'smin'", "'smax'", "'tmin'", "'tmax'", "'tnorm'", "'snorm'", "'floor'", "'ceil'", "'round'", "'gamma'", "'pow'", "'sigm'", "'clamp'", "'fft'", "'ifft'", "'angle'", "'print'", "'lerp'", "'step'", "'smoothstep'", "'fract'", "'relu'", "'softplus'", "'gelu'", "'sign'", "'map'", "'swap'", "'range'", "'linspace'", "'logspace'", "'topk'", "'botk'", "'pinv'", "'sum'", "'mean'", "'std'", "'var'", "'quantile'", "'dot'", "'moment'", "'erf'", "'erfinv'", "'any'", "'all'", "'edge'", "'median'", "'mode'", "'cumsum'", "'cumprod'", "'smootherstep'", "'remap'", "'flatten'", "'append'", "'get_value'", "'flow_apply'", "'motion_mask'", "'flow_to_image'", "'where'", "'overlay'", "'pad'", "'cross'", "'matmul'", "'rife'", "'shape'", "'tensor'", "'stack_push'", "'stack_pop'", "'stack_clear'", "'stack_has'", "'stack_get'", "'int'", "'float'", "'upper'", "'lower'", "'trim'", "'split'", "'join'", "'substring'", "'substr'", "'find'", "'replace'", "'dilate'", "'erode'", "'morph_open'", "'morph_close'", "'rgb_to_oklab'", "'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'", "'if'", "'else'", "'while'", "'for'", "'in'", "'break'", "'continue'", "'return'", "'sort'", "'argsort'", "'argmin'", "'argmax'", "'softmax'", "'softmin'", "'unique'", "'flip'", "'roll'", "'cov'", "'entropy'", "'crop'", "'+'", "'-'", "'*'", "'/'", "'%'", "'^'", "'<<'", "'>>'", "'>='", "'>'", "'<='", "'<'", "'=='", "'='", "'+='", "'-='", "'*='", "'/='", "'%='", "'!='", "'|'", "'('", "')'", "','", "';'", "'->'", "'['", "']'", "'?'", "':'", "'{'", "'}'" ] symbolicNames = [ "", "SIN", "COS", "TAN", "ASIN", "ACOS", "ATAN", "ATAN2", "SINH", "COSH", "TANH", "ASINH", "ACOSH", "ATANH", "ABS", "SQRT", "LN", "LOG", "EXP", "SMIN", "SMAX", "TMIN", "TMAX", "TNORM", "SNORM", "FLOOR", "CEIL", "ROUND", "GAMMA", "POWE", "SIGM", "CLAMP", "SFFT", "SIFFT", "ANGL", "PRNT", "PRINT_SHAPE", "NVL", "LERP", "STEP", "SMOOTHSTEP", "FRACT", "RELU", "SOFTPLUS", "GELU", "SIGN", "MAP", "EZCONV", "CONV", "SWAP", "PERM", "RESHAPE", "RANGE", "LINSPACE", "LOGSPACE", "TOPK", "BOTK", "PINV", "SUM", "MEAN", "STD", "VAR", "QUARTILE", "PERCENTILE", "QUANTILE", "DOT", "MOMENT", "ERF", "ERFINV", "ANY", "ALL", "EDGE", "GAUSSIAN", "MEDIAN", "MODE", "CUMSUM", "CUMPROD", "TOPK_IND", "BOTK_IND", "CUBIC_EASE", "ELASTIC_EASE", "SINE_EASE", "SMOOTHERSTEP", "DIST", "REMAP", "COSSIM", "COUNT", "FLATTEN", "APPEND", "GET_VALUE", "FLOW_APPLY", "BATCH_SHUFFLE", "MOTION_MASK", "FLOW_TO_IMAGE", "FLOW_MAG", "FLOW_ANG", "WHERE", "HISTOGRAM", "OVERLAY", "PAD", "CROSS", "MATMUL", "RIFE", "BNOT", "BITCOUNT", "SHAPE", "BAND", "XOR", "BOR", "TENSOR", "PUSH", "POP", "CLEAR", "HAS", "GET", "CONCAT", "INT", "FLOAT", "UPPER", "LOWER", "TRIM", "SPLIT", "JOIN", "SUBSTRING", "SUBSTR", "FIND", "REPLACE", "DILATE", "ERODE", "MORPH_OPEN", "MORPH_CLOSE", "RGB_TO_OKLAB", "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", "IF", "ELSE", "WHILE", "FOR", "IN", "BREAK", "CONTINUE", "RETURN", "TIMESTAMP", "SORT", "ARGSORT", "ARGMIN", "ARGMAX", "SOFTMAX", "SOFTMIN", "UNIQUE", "FLIP", "ROLL", "COV", "CORR", "ENTROPY", "CROP", "NONE", "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", "EXP", "SMIN", "SMAX", "TMIN", "TMAX", "TNORM", "SNORM", "FLOOR", "CEIL", "ROUND", "GAMMA", "POWE", "SIGM", "CLAMP", "SFFT", "SIFFT", "ANGL", "PRNT", "PRINT_SHAPE", "NVL", "LERP", "STEP", "SMOOTHSTEP", "FRACT", "RELU", "SOFTPLUS", "GELU", "SIGN", "MAP", "EZCONV", "CONV", "SWAP", "PERM", "RESHAPE", "RANGE", "LINSPACE", "LOGSPACE", "TOPK", "BOTK", "PINV", "SUM", "MEAN", "STD", "VAR", "QUARTILE", "PERCENTILE", "QUANTILE", "DOT", "MOMENT", "ERF", "ERFINV", "ANY", "ALL", "EDGE", "GAUSSIAN", "MEDIAN", "MODE", "CUMSUM", "CUMPROD", "TOPK_IND", "BOTK_IND", "CUBIC_EASE", "ELASTIC_EASE", "SINE_EASE", "SMOOTHERSTEP", "DIST", "REMAP", "COSSIM", "COUNT", "FLATTEN", "APPEND", "GET_VALUE", "FLOW_APPLY", "BATCH_SHUFFLE", "MOTION_MASK", "FLOW_TO_IMAGE", "FLOW_MAG", "FLOW_ANG", "WHERE", "HISTOGRAM", "OVERLAY", "PAD", "CROSS", "MATMUL", "RIFE", "BNOT", "BITCOUNT", "SHAPE", "BAND", "XOR", "BOR", "TENSOR", "PUSH", "POP", "CLEAR", "HAS", "GET", "CONCAT", "INT", "FLOAT", "UPPER", "LOWER", "TRIM", "SPLIT", "JOIN", "SUBSTRING", "SUBSTR", "FIND", "REPLACE", "DILATE", "ERODE", "MORPH_OPEN", "MORPH_CLOSE", "RGB_TO_OKLAB", "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", "IF", "ELSE", "WHILE", "FOR", "IN", "BREAK", "CONTINUE", "RETURN", "TIMESTAMP", "SORT", "ARGSORT", "ARGMIN", "ARGMAX", "SOFTMAX", "SOFTMIN", "UNIQUE", "FLIP", "ROLL", "COV", "CORR", "ENTROPY", "CROP", "NONE", "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