# 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 [ 4,0,209,2302,6,-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, 2,208,7,208,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1,2,1,3, 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, 35,1,35,1,35,1,35,3,35,612,8,35,1,36,1,36,1,36,1,36,1,36,1,36,1, 36,1,36,1,36,1,36,1,36,1,36,1,36,3,36,627,8,36,1,37,1,37,1,37,1, 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, 46,1,46,1,46,1,46,1,46,1,46,3,46,703,8,46,1,47,1,47,1,47,1,47,1, 47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,3,47,720,8, 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, 49,1,49,1,49,1,49,3,49,738,8,49,1,50,1,50,1,50,1,50,1,50,1,50,1, 50,1,50,1,50,1,50,1,50,3,50,751,8,50,1,51,1,51,1,51,1,51,1,51,1, 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, 61,3,61,824,8,61,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1, 62,1,62,1,62,1,62,1,62,1,62,3,62,841,8,62,1,63,1,63,1,63,1,63,1, 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, 71,899,8,71,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,73,1,73,1,73,1, 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, 76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,3,76,948,8, 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, 77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,3,77,970,8,77,1,78,1,78,1, 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, 78,987,8,78,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1, 79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,3,79,1008,8,79,1,80,1, 80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,3,80,1023, 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, 3,82,1050,8,82,1,83,1,83,1,83,1,83,1,83,1,83,1,84,1,84,1,84,1,84, 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, 1,84,1,84,1,84,1,84,1,84,1,84,3,84,1081,8,84,1,85,1,85,1,85,1,85, 1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,3,85,1097,8,85, 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, 1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,3,90,1161,8,90, 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, 1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,94,1,94,1,94,1,94,1,95, 1,95,1,95,1,95,1,95,1,95,1,96,1,96,1,96,1,96,1,96,1,96,1,96,1,97, 1,97,1,97,1,97,1,97,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98, 1,98,1,98,1,98,1,98,1,98,1,98,3,98,1234,8,98,1,99,1,99,1,99,1,99, 1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99, 1,99,1,99,1,99,1,99,1,99,3,99,1258,8,99,1,100,1,100,1,100,1,100, 1,100,1,100,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101, 1,101,1,101,1,101,1,101,1,101,1,101,3,101,1281,8,101,1,102,1,102, 1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102, 1,102,1,102,3,102,1298,8,102,1,103,1,103,1,103,1,103,1,103,1,103, 1,103,1,103,1,103,1,103,1,103,1,103,1,103,3,103,1313,8,103,1,104, 1,104,1,104,1,104,1,104,1,104,1,104,1,105,1,105,1,105,1,105,1,105, 1,105,1,105,1,105,1,105,1,105,1,105,1,106,1,106,1,106,1,106,1,106, 1,106,1,106,1,106,1,106,1,106,1,107,1,107,1,107,1,107,1,107,1,107, 1,107,1,107,1,107,1,107,1,107,1,107,1,108,1,108,1,108,1,108,1,108, 1,108,1,108,1,108,1,108,1,108,1,109,1,109,1,109,1,109,1,109,1,109, 1,109,1,109,1,109,1,109,1,110,1,110,1,110,1,110,1,110,1,110,1,110, 1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110, 1,110,1,110,3,110,1395,8,110,1,111,1,111,1,111,1,111,1,112,1,112, 1,112,1,112,1,112,1,112,1,113,1,113,1,113,1,113,1,113,1,113,1,114, 1,114,1,114,1,114,1,114,1,114,1,115,1,115,1,115,1,115,1,115,1,116, 1,116,1,116,1,116,1,116,1,116,1,117,1,117,1,117,1,117,1,117,1,118, 1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,119,1,119, 1,119,1,119,1,119,1,119,1,119,1,120,1,120,1,120,1,120,1,120,1,121, 1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,122,1,122,1,122,1,122, 1,122,1,122,1,122,1,123,1,123,1,123,1,123,1,123,1,123,1,124,1,124, 1,124,1,124,1,124,1,124,1,124,1,124,1,124,1,124,1,124,1,125,1,125, 1,125,1,125,1,125,1,125,1,125,1,125,1,125,1,125,1,125,1,125,1,126, 1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,127, 1,127,1,127,1,127,1,127,1,127,1,127,1,127,1,127,1,127,1,127,1,128, 1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,129, 1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,130, 1,130,1,130,1,131,1,131,1,131,1,131,1,131,1,132,1,132,1,132,1,132, 1,132,1,132,1,133,1,133,1,133,1,133,1,134,1,134,1,134,1,135,1,135, 1,135,1,135,1,135,1,135,1,136,1,136,1,136,1,136,1,136,1,136,1,136, 1,136,1,136,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,138,1,138, 1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138,3,138, 1600,8,138,1,139,1,139,1,139,1,139,1,139,1,140,1,140,1,140,1,140, 1,140,1,140,1,140,1,140,1,141,1,141,1,141,1,141,1,141,1,141,1,141, 1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,143,1,143,1,143,1,143, 1,143,1,143,1,143,1,143,1,144,1,144,1,144,1,144,1,144,1,144,1,144, 1,144,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,146,1,146,1,146, 1,146,1,146,1,147,1,147,1,147,1,147,1,147,1,148,1,148,1,148,1,148, 1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149, 1,149,1,149,1,149,1,149,3,149,1681,8,149,1,150,1,150,1,150,1,150, 1,150,1,150,1,150,1,150,1,151,1,151,1,151,1,151,1,151,1,152,1,152, 1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,152, 1,152,1,152,1,152,3,152,1712,8,152,1,153,1,153,1,153,1,153,1,153, 1,153,1,153,1,153,1,153,1,153,1,153,1,153,1,153,1,153,1,153,1,153, 1,153,1,153,1,153,1,153,1,153,1,153,1,153,3,153,1737,8,153,1,154, 1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154, 1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154, 3,154,1762,8,154,1,155,1,155,1,155,1,155,1,155,1,155,1,155,1,155, 1,155,1,155,1,155,1,155,1,155,1,155,1,155,1,155,1,155,1,155,3,155, 1782,8,155,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156, 1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156, 1,156,1,156,1,156,3,156,1807,8,156,1,157,1,157,1,157,1,157,1,157, 1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157, 1,157,1,157,1,157,1,157,1,157,1,157,1,157,3,157,1832,8,157,1,158, 1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158, 1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,158,3,158,1855, 8,158,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159, 1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,3,159,1876, 8,159,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160, 1,160,1,160,1,160,1,160,1,160,1,160,1,160,3,160,1895,8,160,1,161, 1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161, 1,161,1,161,1,161,1,161,1,161,1,161,1,161,3,161,1916,8,161,1,162, 1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162, 1,162,1,162,1,162,1,162,1,162,1,162,1,162,3,162,1937,8,162,1,163, 1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163, 1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163,1,163, 3,163,1962,8,163,1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164, 1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,164, 3,164,1983,8,164,1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165, 1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165, 3,165,2004,8,165,1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166, 1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166, 1,166,3,166,2026,8,166,1,167,1,167,1,167,1,167,1,167,1,167,1,167, 1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167, 3,167,2046,8,167,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168, 1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168, 1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168, 1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168,1,168, 1,168,1,168,1,168,1,168,1,168,1,168,1,168,3,168,2096,8,168,1,169, 1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169, 1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169, 1,169,1,169,1,169,1,169,1,169,3,169,2126,8,169,1,170,1,170,1,171, 1,171,1,172,1,172,1,173,1,173,1,174,1,174,1,175,1,175,1,176,1,176, 1,176,1,177,1,177,1,177,1,178,1,178,1,178,1,179,1,179,1,180,1,180, 1,180,1,181,1,181,1,182,1,182,1,182,1,183,1,183,1,184,1,184,1,184, 1,185,1,185,1,185,1,186,1,186,1,186,1,187,1,187,1,187,1,188,1,188, 1,188,1,189,1,189,1,189,1,190,1,190,1,191,1,191,1,192,1,192,1,193, 1,193,1,194,1,194,1,195,1,195,1,195,1,196,1,196,1,197,1,197,1,198, 1,198,1,199,1,199,1,200,1,200,1,201,1,201,1,202,4,202,2205,8,202, 11,202,12,202,2206,1,202,1,202,5,202,2211,8,202,10,202,12,202,2214, 9,202,3,202,2216,8,202,1,202,1,202,4,202,2220,8,202,11,202,12,202, 2221,3,202,2224,8,202,1,202,1,202,3,202,2228,8,202,1,202,4,202,2231, 8,202,11,202,12,202,2232,3,202,2235,8,202,1,203,1,203,1,203,1,203, 1,203,3,203,2242,8,203,1,204,1,204,1,204,1,204,5,204,2248,8,204, 10,204,12,204,2251,9,204,1,204,1,204,1,204,1,204,1,204,5,204,2258, 8,204,10,204,12,204,2261,9,204,1,204,3,204,2264,8,204,1,205,1,205, 5,205,2268,8,205,10,205,12,205,2271,9,205,1,206,1,206,5,206,2275, 8,206,10,206,12,206,2278,9,206,1,206,1,206,1,207,1,207,1,207,1,207, 5,207,2286,8,207,10,207,12,207,2289,9,207,1,207,1,207,1,207,1,207, 1,207,1,208,4,208,2297,8,208,11,208,12,208,2298,1,208,1,208,1,2287, 0,209,1,1,3,2,5,3,7,4,9,5,11,6,13,7,15,8,17,9,19,10,21,11,23,12, 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, 413,207,415,208,417,209,1,0,9,1,0,48,57,2,0,69,69,101,101,2,0,43, 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, 13,3,0,9,10,13,13,32,32,2376,0,1,1,0,0,0,0,3,1,0,0,0,0,5,1,0,0,0, 0,7,1,0,0,0,0,9,1,0,0,0,0,11,1,0,0,0,0,13,1,0,0,0,0,15,1,0,0,0,0, 17,1,0,0,0,0,19,1,0,0,0,0,21,1,0,0,0,0,23,1,0,0,0,0,25,1,0,0,0,0, 27,1,0,0,0,0,29,1,0,0,0,0,31,1,0,0,0,0,33,1,0,0,0,0,35,1,0,0,0,0, 37,1,0,0,0,0,39,1,0,0,0,0,41,1,0,0,0,0,43,1,0,0,0,0,45,1,0,0,0,0, 47,1,0,0,0,0,49,1,0,0,0,0,51,1,0,0,0,0,53,1,0,0,0,0,55,1,0,0,0,0, 57,1,0,0,0,0,59,1,0,0,0,0,61,1,0,0,0,0,63,1,0,0,0,0,65,1,0,0,0,0, 67,1,0,0,0,0,69,1,0,0,0,0,71,1,0,0,0,0,73,1,0,0,0,0,75,1,0,0,0,0, 77,1,0,0,0,0,79,1,0,0,0,0,81,1,0,0,0,0,83,1,0,0,0,0,85,1,0,0,0,0, 87,1,0,0,0,0,89,1,0,0,0,0,91,1,0,0,0,0,93,1,0,0,0,0,95,1,0,0,0,0, 97,1,0,0,0,0,99,1,0,0,0,0,101,1,0,0,0,0,103,1,0,0,0,0,105,1,0,0, 0,0,107,1,0,0,0,0,109,1,0,0,0,0,111,1,0,0,0,0,113,1,0,0,0,0,115, 1,0,0,0,0,117,1,0,0,0,0,119,1,0,0,0,0,121,1,0,0,0,0,123,1,0,0,0, 0,125,1,0,0,0,0,127,1,0,0,0,0,129,1,0,0,0,0,131,1,0,0,0,0,133,1, 0,0,0,0,135,1,0,0,0,0,137,1,0,0,0,0,139,1,0,0,0,0,141,1,0,0,0,0, 143,1,0,0,0,0,145,1,0,0,0,0,147,1,0,0,0,0,149,1,0,0,0,0,151,1,0, 0,0,0,153,1,0,0,0,0,155,1,0,0,0,0,157,1,0,0,0,0,159,1,0,0,0,0,161, 1,0,0,0,0,163,1,0,0,0,0,165,1,0,0,0,0,167,1,0,0,0,0,169,1,0,0,0, 0,171,1,0,0,0,0,173,1,0,0,0,0,175,1,0,0,0,0,177,1,0,0,0,0,179,1, 0,0,0,0,181,1,0,0,0,0,183,1,0,0,0,0,185,1,0,0,0,0,187,1,0,0,0,0, 189,1,0,0,0,0,191,1,0,0,0,0,193,1,0,0,0,0,195,1,0,0,0,0,197,1,0, 0,0,0,199,1,0,0,0,0,201,1,0,0,0,0,203,1,0,0,0,0,205,1,0,0,0,0,207, 1,0,0,0,0,209,1,0,0,0,0,211,1,0,0,0,0,213,1,0,0,0,0,215,1,0,0,0, 0,217,1,0,0,0,0,219,1,0,0,0,0,221,1,0,0,0,0,223,1,0,0,0,0,225,1, 0,0,0,0,227,1,0,0,0,0,229,1,0,0,0,0,231,1,0,0,0,0,233,1,0,0,0,0, 235,1,0,0,0,0,237,1,0,0,0,0,239,1,0,0,0,0,241,1,0,0,0,0,243,1,0, 0,0,0,245,1,0,0,0,0,247,1,0,0,0,0,249,1,0,0,0,0,251,1,0,0,0,0,253, 1,0,0,0,0,255,1,0,0,0,0,257,1,0,0,0,0,259,1,0,0,0,0,261,1,0,0,0, 0,263,1,0,0,0,0,265,1,0,0,0,0,267,1,0,0,0,0,269,1,0,0,0,0,271,1, 0,0,0,0,273,1,0,0,0,0,275,1,0,0,0,0,277,1,0,0,0,0,279,1,0,0,0,0, 281,1,0,0,0,0,283,1,0,0,0,0,285,1,0,0,0,0,287,1,0,0,0,0,289,1,0, 0,0,0,291,1,0,0,0,0,293,1,0,0,0,0,295,1,0,0,0,0,297,1,0,0,0,0,299, 1,0,0,0,0,301,1,0,0,0,0,303,1,0,0,0,0,305,1,0,0,0,0,307,1,0,0,0, 0,309,1,0,0,0,0,311,1,0,0,0,0,313,1,0,0,0,0,315,1,0,0,0,0,317,1, 0,0,0,0,319,1,0,0,0,0,321,1,0,0,0,0,323,1,0,0,0,0,325,1,0,0,0,0, 327,1,0,0,0,0,329,1,0,0,0,0,331,1,0,0,0,0,333,1,0,0,0,0,335,1,0, 0,0,0,337,1,0,0,0,0,339,1,0,0,0,0,341,1,0,0,0,0,343,1,0,0,0,0,345, 1,0,0,0,0,347,1,0,0,0,0,349,1,0,0,0,0,351,1,0,0,0,0,353,1,0,0,0, 0,355,1,0,0,0,0,357,1,0,0,0,0,359,1,0,0,0,0,361,1,0,0,0,0,363,1, 0,0,0,0,365,1,0,0,0,0,367,1,0,0,0,0,369,1,0,0,0,0,371,1,0,0,0,0, 373,1,0,0,0,0,375,1,0,0,0,0,377,1,0,0,0,0,379,1,0,0,0,0,381,1,0, 0,0,0,383,1,0,0,0,0,385,1,0,0,0,0,387,1,0,0,0,0,389,1,0,0,0,0,391, 1,0,0,0,0,393,1,0,0,0,0,395,1,0,0,0,0,397,1,0,0,0,0,399,1,0,0,0, 0,401,1,0,0,0,0,403,1,0,0,0,0,405,1,0,0,0,0,407,1,0,0,0,0,409,1, 0,0,0,0,411,1,0,0,0,0,413,1,0,0,0,0,415,1,0,0,0,0,417,1,0,0,0,1, 419,1,0,0,0,3,423,1,0,0,0,5,427,1,0,0,0,7,431,1,0,0,0,9,436,1,0, 0,0,11,441,1,0,0,0,13,446,1,0,0,0,15,452,1,0,0,0,17,457,1,0,0,0, 19,462,1,0,0,0,21,467,1,0,0,0,23,473,1,0,0,0,25,479,1,0,0,0,27,485, 1,0,0,0,29,489,1,0,0,0,31,494,1,0,0,0,33,497,1,0,0,0,35,501,1,0, 0,0,37,505,1,0,0,0,39,510,1,0,0,0,41,515,1,0,0,0,43,520,1,0,0,0, 45,525,1,0,0,0,47,531,1,0,0,0,49,537,1,0,0,0,51,543,1,0,0,0,53,548, 1,0,0,0,55,554,1,0,0,0,57,560,1,0,0,0,59,564,1,0,0,0,61,569,1,0, 0,0,63,575,1,0,0,0,65,579,1,0,0,0,67,584,1,0,0,0,69,590,1,0,0,0, 71,611,1,0,0,0,73,626,1,0,0,0,75,628,1,0,0,0,77,633,1,0,0,0,79,638, 1,0,0,0,81,649,1,0,0,0,83,655,1,0,0,0,85,660,1,0,0,0,87,669,1,0, 0,0,89,674,1,0,0,0,91,679,1,0,0,0,93,702,1,0,0,0,95,719,1,0,0,0, 97,721,1,0,0,0,99,737,1,0,0,0,101,750,1,0,0,0,103,752,1,0,0,0,105, 758,1,0,0,0,107,767,1,0,0,0,109,776,1,0,0,0,111,781,1,0,0,0,113, 786,1,0,0,0,115,791,1,0,0,0,117,795,1,0,0,0,119,800,1,0,0,0,121, 804,1,0,0,0,123,823,1,0,0,0,125,840,1,0,0,0,127,842,1,0,0,0,129, 851,1,0,0,0,131,855,1,0,0,0,133,862,1,0,0,0,135,866,1,0,0,0,137, 873,1,0,0,0,139,877,1,0,0,0,141,881,1,0,0,0,143,898,1,0,0,0,145, 900,1,0,0,0,147,907,1,0,0,0,149,912,1,0,0,0,151,919,1,0,0,0,153, 947,1,0,0,0,155,969,1,0,0,0,157,986,1,0,0,0,159,1007,1,0,0,0,161, 1022,1,0,0,0,163,1024,1,0,0,0,165,1049,1,0,0,0,167,1051,1,0,0,0, 169,1080,1,0,0,0,171,1096,1,0,0,0,173,1098,1,0,0,0,175,1106,1,0, 0,0,177,1113,1,0,0,0,179,1123,1,0,0,0,181,1160,1,0,0,0,183,1162, 1,0,0,0,185,1174,1,0,0,0,187,1188,1,0,0,0,189,1196,1,0,0,0,191,1200, 1,0,0,0,193,1206,1,0,0,0,195,1213,1,0,0,0,197,1233,1,0,0,0,199,1257, 1,0,0,0,201,1259,1,0,0,0,203,1280,1,0,0,0,205,1297,1,0,0,0,207,1312, 1,0,0,0,209,1314,1,0,0,0,211,1321,1,0,0,0,213,1332,1,0,0,0,215,1342, 1,0,0,0,217,1354,1,0,0,0,219,1364,1,0,0,0,221,1394,1,0,0,0,223,1396, 1,0,0,0,225,1400,1,0,0,0,227,1406,1,0,0,0,229,1412,1,0,0,0,231,1418, 1,0,0,0,233,1423,1,0,0,0,235,1429,1,0,0,0,237,1434,1,0,0,0,239,1444, 1,0,0,0,241,1451,1,0,0,0,243,1456,1,0,0,0,245,1464,1,0,0,0,247,1471, 1,0,0,0,249,1477,1,0,0,0,251,1488,1,0,0,0,253,1500,1,0,0,0,255,1511, 1,0,0,0,257,1522,1,0,0,0,259,1533,1,0,0,0,261,1544,1,0,0,0,263,1547, 1,0,0,0,265,1552,1,0,0,0,267,1558,1,0,0,0,269,1562,1,0,0,0,271,1565, 1,0,0,0,273,1571,1,0,0,0,275,1580,1,0,0,0,277,1599,1,0,0,0,279,1601, 1,0,0,0,281,1606,1,0,0,0,283,1614,1,0,0,0,285,1621,1,0,0,0,287,1628, 1,0,0,0,289,1636,1,0,0,0,291,1644,1,0,0,0,293,1651,1,0,0,0,295,1656, 1,0,0,0,297,1661,1,0,0,0,299,1680,1,0,0,0,301,1682,1,0,0,0,303,1690, 1,0,0,0,305,1711,1,0,0,0,307,1736,1,0,0,0,309,1761,1,0,0,0,311,1781, 1,0,0,0,313,1806,1,0,0,0,315,1831,1,0,0,0,317,1854,1,0,0,0,319,1875, 1,0,0,0,321,1894,1,0,0,0,323,1915,1,0,0,0,325,1936,1,0,0,0,327,1961, 1,0,0,0,329,1982,1,0,0,0,331,2003,1,0,0,0,333,2025,1,0,0,0,335,2045, 1,0,0,0,337,2095,1,0,0,0,339,2125,1,0,0,0,341,2127,1,0,0,0,343,2129, 1,0,0,0,345,2131,1,0,0,0,347,2133,1,0,0,0,349,2135,1,0,0,0,351,2137, 1,0,0,0,353,2139,1,0,0,0,355,2142,1,0,0,0,357,2145,1,0,0,0,359,2148, 1,0,0,0,361,2150,1,0,0,0,363,2153,1,0,0,0,365,2155,1,0,0,0,367,2158, 1,0,0,0,369,2160,1,0,0,0,371,2163,1,0,0,0,373,2166,1,0,0,0,375,2169, 1,0,0,0,377,2172,1,0,0,0,379,2175,1,0,0,0,381,2178,1,0,0,0,383,2180, 1,0,0,0,385,2182,1,0,0,0,387,2184,1,0,0,0,389,2186,1,0,0,0,391,2188, 1,0,0,0,393,2191,1,0,0,0,395,2193,1,0,0,0,397,2195,1,0,0,0,399,2197, 1,0,0,0,401,2199,1,0,0,0,403,2201,1,0,0,0,405,2223,1,0,0,0,407,2241, 1,0,0,0,409,2263,1,0,0,0,411,2265,1,0,0,0,413,2272,1,0,0,0,415,2281, 1,0,0,0,417,2296,1,0,0,0,419,420,5,115,0,0,420,421,5,105,0,0,421, 422,5,110,0,0,422,2,1,0,0,0,423,424,5,99,0,0,424,425,5,111,0,0,425, 426,5,115,0,0,426,4,1,0,0,0,427,428,5,116,0,0,428,429,5,97,0,0,429, 430,5,110,0,0,430,6,1,0,0,0,431,432,5,97,0,0,432,433,5,115,0,0,433, 434,5,105,0,0,434,435,5,110,0,0,435,8,1,0,0,0,436,437,5,97,0,0,437, 438,5,99,0,0,438,439,5,111,0,0,439,440,5,115,0,0,440,10,1,0,0,0, 441,442,5,97,0,0,442,443,5,116,0,0,443,444,5,97,0,0,444,445,5,110, 0,0,445,12,1,0,0,0,446,447,5,97,0,0,447,448,5,116,0,0,448,449,5, 97,0,0,449,450,5,110,0,0,450,451,5,50,0,0,451,14,1,0,0,0,452,453, 5,115,0,0,453,454,5,105,0,0,454,455,5,110,0,0,455,456,5,104,0,0, 456,16,1,0,0,0,457,458,5,99,0,0,458,459,5,111,0,0,459,460,5,115, 0,0,460,461,5,104,0,0,461,18,1,0,0,0,462,463,5,116,0,0,463,464,5, 97,0,0,464,465,5,110,0,0,465,466,5,104,0,0,466,20,1,0,0,0,467,468, 5,97,0,0,468,469,5,115,0,0,469,470,5,105,0,0,470,471,5,110,0,0,471, 472,5,104,0,0,472,22,1,0,0,0,473,474,5,97,0,0,474,475,5,99,0,0,475, 476,5,111,0,0,476,477,5,115,0,0,477,478,5,104,0,0,478,24,1,0,0,0, 479,480,5,97,0,0,480,481,5,116,0,0,481,482,5,97,0,0,482,483,5,110, 0,0,483,484,5,104,0,0,484,26,1,0,0,0,485,486,5,97,0,0,486,487,5, 98,0,0,487,488,5,115,0,0,488,28,1,0,0,0,489,490,5,115,0,0,490,491, 5,113,0,0,491,492,5,114,0,0,492,493,5,116,0,0,493,30,1,0,0,0,494, 495,5,108,0,0,495,496,5,110,0,0,496,32,1,0,0,0,497,498,5,108,0,0, 498,499,5,111,0,0,499,500,5,103,0,0,500,34,1,0,0,0,501,502,5,101, 0,0,502,503,5,120,0,0,503,504,5,112,0,0,504,36,1,0,0,0,505,506,5, 115,0,0,506,507,5,109,0,0,507,508,5,105,0,0,508,509,5,110,0,0,509, 38,1,0,0,0,510,511,5,115,0,0,511,512,5,109,0,0,512,513,5,97,0,0, 513,514,5,120,0,0,514,40,1,0,0,0,515,516,5,116,0,0,516,517,5,109, 0,0,517,518,5,105,0,0,518,519,5,110,0,0,519,42,1,0,0,0,520,521,5, 116,0,0,521,522,5,109,0,0,522,523,5,97,0,0,523,524,5,120,0,0,524, 44,1,0,0,0,525,526,5,116,0,0,526,527,5,110,0,0,527,528,5,111,0,0, 528,529,5,114,0,0,529,530,5,109,0,0,530,46,1,0,0,0,531,532,5,115, 0,0,532,533,5,110,0,0,533,534,5,111,0,0,534,535,5,114,0,0,535,536, 5,109,0,0,536,48,1,0,0,0,537,538,5,102,0,0,538,539,5,108,0,0,539, 540,5,111,0,0,540,541,5,111,0,0,541,542,5,114,0,0,542,50,1,0,0,0, 543,544,5,99,0,0,544,545,5,101,0,0,545,546,5,105,0,0,546,547,5,108, 0,0,547,52,1,0,0,0,548,549,5,114,0,0,549,550,5,111,0,0,550,551,5, 117,0,0,551,552,5,110,0,0,552,553,5,100,0,0,553,54,1,0,0,0,554,555, 5,103,0,0,555,556,5,97,0,0,556,557,5,109,0,0,557,558,5,109,0,0,558, 559,5,97,0,0,559,56,1,0,0,0,560,561,5,112,0,0,561,562,5,111,0,0, 562,563,5,119,0,0,563,58,1,0,0,0,564,565,5,115,0,0,565,566,5,105, 0,0,566,567,5,103,0,0,567,568,5,109,0,0,568,60,1,0,0,0,569,570,5, 99,0,0,570,571,5,108,0,0,571,572,5,97,0,0,572,573,5,109,0,0,573, 574,5,112,0,0,574,62,1,0,0,0,575,576,5,102,0,0,576,577,5,102,0,0, 577,578,5,116,0,0,578,64,1,0,0,0,579,580,5,105,0,0,580,581,5,102, 0,0,581,582,5,102,0,0,582,583,5,116,0,0,583,66,1,0,0,0,584,585,5, 97,0,0,585,586,5,110,0,0,586,587,5,103,0,0,587,588,5,108,0,0,588, 589,5,101,0,0,589,68,1,0,0,0,590,591,5,112,0,0,591,592,5,114,0,0, 592,593,5,105,0,0,593,594,5,110,0,0,594,595,5,116,0,0,595,70,1,0, 0,0,596,597,5,112,0,0,597,598,5,114,0,0,598,599,5,105,0,0,599,600, 5,110,0,0,600,601,5,116,0,0,601,602,5,95,0,0,602,603,5,115,0,0,603, 604,5,104,0,0,604,605,5,97,0,0,605,606,5,112,0,0,606,612,5,101,0, 0,607,608,5,112,0,0,608,609,5,115,0,0,609,610,5,104,0,0,610,612, 5,112,0,0,611,596,1,0,0,0,611,607,1,0,0,0,612,72,1,0,0,0,613,614, 5,110,0,0,614,615,5,118,0,0,615,627,5,108,0,0,616,617,5,110,0,0, 617,618,5,97,0,0,618,619,5,110,0,0,619,620,5,95,0,0,620,621,5,116, 0,0,621,622,5,111,0,0,622,623,5,95,0,0,623,624,5,110,0,0,624,625, 5,117,0,0,625,627,5,109,0,0,626,613,1,0,0,0,626,616,1,0,0,0,627, 74,1,0,0,0,628,629,5,108,0,0,629,630,5,101,0,0,630,631,5,114,0,0, 631,632,5,112,0,0,632,76,1,0,0,0,633,634,5,115,0,0,634,635,5,116, 0,0,635,636,5,101,0,0,636,637,5,112,0,0,637,78,1,0,0,0,638,639,5, 115,0,0,639,640,5,109,0,0,640,641,5,111,0,0,641,642,5,111,0,0,642, 643,5,116,0,0,643,644,5,104,0,0,644,645,5,115,0,0,645,646,5,116, 0,0,646,647,5,101,0,0,647,648,5,112,0,0,648,80,1,0,0,0,649,650,5, 102,0,0,650,651,5,114,0,0,651,652,5,97,0,0,652,653,5,99,0,0,653, 654,5,116,0,0,654,82,1,0,0,0,655,656,5,114,0,0,656,657,5,101,0,0, 657,658,5,108,0,0,658,659,5,117,0,0,659,84,1,0,0,0,660,661,5,115, 0,0,661,662,5,111,0,0,662,663,5,102,0,0,663,664,5,116,0,0,664,665, 5,112,0,0,665,666,5,108,0,0,666,667,5,117,0,0,667,668,5,115,0,0, 668,86,1,0,0,0,669,670,5,103,0,0,670,671,5,101,0,0,671,672,5,108, 0,0,672,673,5,117,0,0,673,88,1,0,0,0,674,675,5,115,0,0,675,676,5, 105,0,0,676,677,5,103,0,0,677,678,5,110,0,0,678,90,1,0,0,0,679,680, 5,109,0,0,680,681,5,97,0,0,681,682,5,112,0,0,682,92,1,0,0,0,683, 684,5,101,0,0,684,685,5,122,0,0,685,686,5,99,0,0,686,687,5,111,0, 0,687,688,5,110,0,0,688,689,5,118,0,0,689,690,5,111,0,0,690,691, 5,108,0,0,691,692,5,117,0,0,692,693,5,116,0,0,693,694,5,105,0,0, 694,695,5,111,0,0,695,703,5,110,0,0,696,697,5,101,0,0,697,698,5, 122,0,0,698,699,5,99,0,0,699,700,5,111,0,0,700,701,5,110,0,0,701, 703,5,118,0,0,702,683,1,0,0,0,702,696,1,0,0,0,703,94,1,0,0,0,704, 705,5,99,0,0,705,706,5,111,0,0,706,707,5,110,0,0,707,708,5,118,0, 0,708,709,5,111,0,0,709,710,5,108,0,0,710,711,5,117,0,0,711,712, 5,116,0,0,712,713,5,105,0,0,713,714,5,111,0,0,714,720,5,110,0,0, 715,716,5,99,0,0,716,717,5,111,0,0,717,718,5,110,0,0,718,720,5,118, 0,0,719,704,1,0,0,0,719,715,1,0,0,0,720,96,1,0,0,0,721,722,5,115, 0,0,722,723,5,119,0,0,723,724,5,97,0,0,724,725,5,112,0,0,725,98, 1,0,0,0,726,727,5,112,0,0,727,728,5,101,0,0,728,729,5,114,0,0,729, 730,5,109,0,0,730,731,5,117,0,0,731,732,5,116,0,0,732,738,5,101, 0,0,733,734,5,112,0,0,734,735,5,101,0,0,735,736,5,114,0,0,736,738, 5,109,0,0,737,726,1,0,0,0,737,733,1,0,0,0,738,100,1,0,0,0,739,740, 5,114,0,0,740,741,5,101,0,0,741,742,5,115,0,0,742,743,5,104,0,0, 743,744,5,97,0,0,744,745,5,112,0,0,745,751,5,101,0,0,746,747,5,114, 0,0,747,748,5,115,0,0,748,749,5,104,0,0,749,751,5,112,0,0,750,739, 1,0,0,0,750,746,1,0,0,0,751,102,1,0,0,0,752,753,5,114,0,0,753,754, 5,97,0,0,754,755,5,110,0,0,755,756,5,103,0,0,756,757,5,101,0,0,757, 104,1,0,0,0,758,759,5,108,0,0,759,760,5,105,0,0,760,761,5,110,0, 0,761,762,5,115,0,0,762,763,5,112,0,0,763,764,5,97,0,0,764,765,5, 99,0,0,765,766,5,101,0,0,766,106,1,0,0,0,767,768,5,108,0,0,768,769, 5,111,0,0,769,770,5,103,0,0,770,771,5,115,0,0,771,772,5,112,0,0, 772,773,5,97,0,0,773,774,5,99,0,0,774,775,5,101,0,0,775,108,1,0, 0,0,776,777,5,116,0,0,777,778,5,111,0,0,778,779,5,112,0,0,779,780, 5,107,0,0,780,110,1,0,0,0,781,782,5,98,0,0,782,783,5,111,0,0,783, 784,5,116,0,0,784,785,5,107,0,0,785,112,1,0,0,0,786,787,5,112,0, 0,787,788,5,105,0,0,788,789,5,110,0,0,789,790,5,118,0,0,790,114, 1,0,0,0,791,792,5,115,0,0,792,793,5,117,0,0,793,794,5,109,0,0,794, 116,1,0,0,0,795,796,5,109,0,0,796,797,5,101,0,0,797,798,5,97,0,0, 798,799,5,110,0,0,799,118,1,0,0,0,800,801,5,115,0,0,801,802,5,116, 0,0,802,803,5,100,0,0,803,120,1,0,0,0,804,805,5,118,0,0,805,806, 5,97,0,0,806,807,5,114,0,0,807,122,1,0,0,0,808,809,5,113,0,0,809, 810,5,117,0,0,810,811,5,97,0,0,811,812,5,114,0,0,812,813,5,116,0, 0,813,814,5,105,0,0,814,815,5,108,0,0,815,824,5,101,0,0,816,817, 5,113,0,0,817,818,5,117,0,0,818,819,5,97,0,0,819,820,5,114,0,0,820, 821,5,116,0,0,821,822,5,105,0,0,822,824,5,108,0,0,823,808,1,0,0, 0,823,816,1,0,0,0,824,124,1,0,0,0,825,826,5,112,0,0,826,827,5,101, 0,0,827,828,5,114,0,0,828,829,5,99,0,0,829,830,5,101,0,0,830,831, 5,110,0,0,831,832,5,116,0,0,832,833,5,105,0,0,833,834,5,108,0,0, 834,841,5,101,0,0,835,836,5,112,0,0,836,837,5,114,0,0,837,838,5, 99,0,0,838,839,5,110,0,0,839,841,5,116,0,0,840,825,1,0,0,0,840,835, 1,0,0,0,841,126,1,0,0,0,842,843,5,113,0,0,843,844,5,117,0,0,844, 845,5,97,0,0,845,846,5,110,0,0,846,847,5,116,0,0,847,848,5,105,0, 0,848,849,5,108,0,0,849,850,5,101,0,0,850,128,1,0,0,0,851,852,5, 100,0,0,852,853,5,111,0,0,853,854,5,116,0,0,854,130,1,0,0,0,855, 856,5,109,0,0,856,857,5,111,0,0,857,858,5,109,0,0,858,859,5,101, 0,0,859,860,5,110,0,0,860,861,5,116,0,0,861,132,1,0,0,0,862,863, 5,101,0,0,863,864,5,114,0,0,864,865,5,102,0,0,865,134,1,0,0,0,866, 867,5,101,0,0,867,868,5,114,0,0,868,869,5,102,0,0,869,870,5,105, 0,0,870,871,5,110,0,0,871,872,5,118,0,0,872,136,1,0,0,0,873,874, 5,97,0,0,874,875,5,110,0,0,875,876,5,121,0,0,876,138,1,0,0,0,877, 878,5,97,0,0,878,879,5,108,0,0,879,880,5,108,0,0,880,140,1,0,0,0, 881,882,5,101,0,0,882,883,5,100,0,0,883,884,5,103,0,0,884,885,5, 101,0,0,885,142,1,0,0,0,886,887,5,98,0,0,887,888,5,108,0,0,888,889, 5,117,0,0,889,899,5,114,0,0,890,891,5,103,0,0,891,892,5,97,0,0,892, 893,5,117,0,0,893,894,5,115,0,0,894,895,5,115,0,0,895,896,5,105, 0,0,896,897,5,97,0,0,897,899,5,110,0,0,898,886,1,0,0,0,898,890,1, 0,0,0,899,144,1,0,0,0,900,901,5,109,0,0,901,902,5,101,0,0,902,903, 5,100,0,0,903,904,5,105,0,0,904,905,5,97,0,0,905,906,5,110,0,0,906, 146,1,0,0,0,907,908,5,109,0,0,908,909,5,111,0,0,909,910,5,100,0, 0,910,911,5,101,0,0,911,148,1,0,0,0,912,913,5,99,0,0,913,914,5,117, 0,0,914,915,5,109,0,0,915,916,5,115,0,0,916,917,5,117,0,0,917,918, 5,109,0,0,918,150,1,0,0,0,919,920,5,99,0,0,920,921,5,117,0,0,921, 922,5,109,0,0,922,923,5,112,0,0,923,924,5,114,0,0,924,925,5,111, 0,0,925,926,5,100,0,0,926,152,1,0,0,0,927,928,5,116,0,0,928,929, 5,111,0,0,929,930,5,112,0,0,930,931,5,107,0,0,931,932,5,95,0,0,932, 933,5,105,0,0,933,934,5,110,0,0,934,948,5,100,0,0,935,936,5,116, 0,0,936,937,5,111,0,0,937,938,5,112,0,0,938,939,5,107,0,0,939,940, 5,95,0,0,940,941,5,105,0,0,941,942,5,110,0,0,942,943,5,100,0,0,943, 944,5,105,0,0,944,945,5,99,0,0,945,946,5,101,0,0,946,948,5,115,0, 0,947,927,1,0,0,0,947,935,1,0,0,0,948,154,1,0,0,0,949,950,5,98,0, 0,950,951,5,111,0,0,951,952,5,116,0,0,952,953,5,107,0,0,953,954, 5,95,0,0,954,955,5,105,0,0,955,956,5,110,0,0,956,970,5,100,0,0,957, 958,5,98,0,0,958,959,5,111,0,0,959,960,5,116,0,0,960,961,5,107,0, 0,961,962,5,95,0,0,962,963,5,105,0,0,963,964,5,110,0,0,964,965,5, 100,0,0,965,966,5,105,0,0,966,967,5,99,0,0,967,968,5,101,0,0,968, 970,5,115,0,0,969,949,1,0,0,0,969,957,1,0,0,0,970,156,1,0,0,0,971, 972,5,99,0,0,972,973,5,117,0,0,973,974,5,98,0,0,974,975,5,105,0, 0,975,976,5,99,0,0,976,977,5,95,0,0,977,978,5,101,0,0,978,979,5, 97,0,0,979,980,5,115,0,0,980,987,5,101,0,0,981,982,5,99,0,0,982, 983,5,117,0,0,983,984,5,98,0,0,984,985,5,105,0,0,985,987,5,99,0, 0,986,971,1,0,0,0,986,981,1,0,0,0,987,158,1,0,0,0,988,989,5,101, 0,0,989,990,5,108,0,0,990,991,5,97,0,0,991,992,5,115,0,0,992,993, 5,116,0,0,993,994,5,105,0,0,994,995,5,99,0,0,995,996,5,95,0,0,996, 997,5,101,0,0,997,998,5,97,0,0,998,999,5,115,0,0,999,1008,5,101, 0,0,1000,1001,5,101,0,0,1001,1002,5,108,0,0,1002,1003,5,97,0,0,1003, 1004,5,115,0,0,1004,1005,5,116,0,0,1005,1006,5,105,0,0,1006,1008, 5,99,0,0,1007,988,1,0,0,0,1007,1000,1,0,0,0,1008,160,1,0,0,0,1009, 1010,5,115,0,0,1010,1011,5,105,0,0,1011,1012,5,110,0,0,1012,1013, 5,101,0,0,1013,1014,5,95,0,0,1014,1015,5,101,0,0,1015,1016,5,97, 0,0,1016,1017,5,115,0,0,1017,1023,5,101,0,0,1018,1019,5,115,0,0, 1019,1020,5,105,0,0,1020,1021,5,110,0,0,1021,1023,5,101,0,0,1022, 1009,1,0,0,0,1022,1018,1,0,0,0,1023,162,1,0,0,0,1024,1025,5,115, 0,0,1025,1026,5,109,0,0,1026,1027,5,111,0,0,1027,1028,5,111,0,0, 1028,1029,5,116,0,0,1029,1030,5,104,0,0,1030,1031,5,101,0,0,1031, 1032,5,114,0,0,1032,1033,5,115,0,0,1033,1034,5,116,0,0,1034,1035, 5,101,0,0,1035,1036,5,112,0,0,1036,164,1,0,0,0,1037,1038,5,100,0, 0,1038,1039,5,105,0,0,1039,1040,5,115,0,0,1040,1050,5,116,0,0,1041, 1042,5,100,0,0,1042,1043,5,105,0,0,1043,1044,5,115,0,0,1044,1045, 5,116,0,0,1045,1046,5,97,0,0,1046,1047,5,110,0,0,1047,1048,5,99, 0,0,1048,1050,5,101,0,0,1049,1037,1,0,0,0,1049,1041,1,0,0,0,1050, 166,1,0,0,0,1051,1052,5,114,0,0,1052,1053,5,101,0,0,1053,1054,5, 109,0,0,1054,1055,5,97,0,0,1055,1056,5,112,0,0,1056,168,1,0,0,0, 1057,1058,5,99,0,0,1058,1059,5,111,0,0,1059,1060,5,115,0,0,1060, 1061,5,115,0,0,1061,1062,5,105,0,0,1062,1081,5,109,0,0,1063,1064, 5,99,0,0,1064,1065,5,111,0,0,1065,1066,5,115,0,0,1066,1067,5,105, 0,0,1067,1068,5,110,0,0,1068,1069,5,101,0,0,1069,1070,5,95,0,0,1070, 1071,5,115,0,0,1071,1072,5,105,0,0,1072,1073,5,109,0,0,1073,1074, 5,105,0,0,1074,1075,5,108,0,0,1075,1076,5,97,0,0,1076,1077,5,114, 0,0,1077,1078,5,105,0,0,1078,1079,5,116,0,0,1079,1081,5,121,0,0, 1080,1057,1,0,0,0,1080,1063,1,0,0,0,1081,170,1,0,0,0,1082,1083,5, 99,0,0,1083,1084,5,111,0,0,1084,1085,5,117,0,0,1085,1086,5,110,0, 0,1086,1097,5,116,0,0,1087,1088,5,99,0,0,1088,1089,5,110,0,0,1089, 1097,5,116,0,0,1090,1091,5,108,0,0,1091,1092,5,101,0,0,1092,1093, 5,110,0,0,1093,1094,5,103,0,0,1094,1095,5,116,0,0,1095,1097,5,104, 0,0,1096,1082,1,0,0,0,1096,1087,1,0,0,0,1096,1090,1,0,0,0,1097,172, 1,0,0,0,1098,1099,5,102,0,0,1099,1100,5,108,0,0,1100,1101,5,97,0, 0,1101,1102,5,116,0,0,1102,1103,5,116,0,0,1103,1104,5,101,0,0,1104, 1105,5,110,0,0,1105,174,1,0,0,0,1106,1107,5,97,0,0,1107,1108,5,112, 0,0,1108,1109,5,112,0,0,1109,1110,5,101,0,0,1110,1111,5,110,0,0, 1111,1112,5,100,0,0,1112,176,1,0,0,0,1113,1114,5,103,0,0,1114,1115, 5,101,0,0,1115,1116,5,116,0,0,1116,1117,5,95,0,0,1117,1118,5,118, 0,0,1118,1119,5,97,0,0,1119,1120,5,108,0,0,1120,1121,5,117,0,0,1121, 1122,5,101,0,0,1122,178,1,0,0,0,1123,1124,5,102,0,0,1124,1125,5, 108,0,0,1125,1126,5,111,0,0,1126,1127,5,119,0,0,1127,1128,5,95,0, 0,1128,1129,5,97,0,0,1129,1130,5,112,0,0,1130,1131,5,112,0,0,1131, 1132,5,108,0,0,1132,1133,5,121,0,0,1133,180,1,0,0,0,1134,1135,5, 98,0,0,1135,1136,5,97,0,0,1136,1137,5,116,0,0,1137,1138,5,99,0,0, 1138,1139,5,104,0,0,1139,1140,5,95,0,0,1140,1141,5,115,0,0,1141, 1142,5,104,0,0,1142,1143,5,117,0,0,1143,1144,5,102,0,0,1144,1145, 5,102,0,0,1145,1146,5,108,0,0,1146,1161,5,101,0,0,1147,1148,5,115, 0,0,1148,1149,5,104,0,0,1149,1150,5,117,0,0,1150,1151,5,102,0,0, 1151,1152,5,102,0,0,1152,1153,5,108,0,0,1153,1161,5,101,0,0,1154, 1155,5,115,0,0,1155,1156,5,101,0,0,1156,1157,5,108,0,0,1157,1158, 5,101,0,0,1158,1159,5,99,0,0,1159,1161,5,116,0,0,1160,1134,1,0,0, 0,1160,1147,1,0,0,0,1160,1154,1,0,0,0,1161,182,1,0,0,0,1162,1163, 5,109,0,0,1163,1164,5,111,0,0,1164,1165,5,116,0,0,1165,1166,5,105, 0,0,1166,1167,5,111,0,0,1167,1168,5,110,0,0,1168,1169,5,95,0,0,1169, 1170,5,109,0,0,1170,1171,5,97,0,0,1171,1172,5,115,0,0,1172,1173, 5,107,0,0,1173,184,1,0,0,0,1174,1175,5,102,0,0,1175,1176,5,108,0, 0,1176,1177,5,111,0,0,1177,1178,5,119,0,0,1178,1179,5,95,0,0,1179, 1180,5,116,0,0,1180,1181,5,111,0,0,1181,1182,5,95,0,0,1182,1183, 5,105,0,0,1183,1184,5,109,0,0,1184,1185,5,97,0,0,1185,1186,5,103, 0,0,1186,1187,5,101,0,0,1187,186,1,0,0,0,1188,1189,5,111,0,0,1189, 1190,5,118,0,0,1190,1191,5,101,0,0,1191,1192,5,114,0,0,1192,1193, 5,108,0,0,1193,1194,5,97,0,0,1194,1195,5,121,0,0,1195,188,1,0,0, 0,1196,1197,5,112,0,0,1197,1198,5,97,0,0,1198,1199,5,100,0,0,1199, 190,1,0,0,0,1200,1201,5,99,0,0,1201,1202,5,114,0,0,1202,1203,5,111, 0,0,1203,1204,5,115,0,0,1204,1205,5,115,0,0,1205,192,1,0,0,0,1206, 1207,5,109,0,0,1207,1208,5,97,0,0,1208,1209,5,116,0,0,1209,1210, 5,109,0,0,1210,1211,5,117,0,0,1211,1212,5,108,0,0,1212,194,1,0,0, 0,1213,1214,5,114,0,0,1214,1215,5,105,0,0,1215,1216,5,102,0,0,1216, 1217,5,101,0,0,1217,196,1,0,0,0,1218,1219,5,98,0,0,1219,1220,5,110, 0,0,1220,1221,5,111,0,0,1221,1234,5,116,0,0,1222,1223,5,98,0,0,1223, 1224,5,105,0,0,1224,1225,5,116,0,0,1225,1226,5,119,0,0,1226,1227, 5,105,0,0,1227,1228,5,115,0,0,1228,1229,5,101,0,0,1229,1230,5,95, 0,0,1230,1231,5,110,0,0,1231,1232,5,111,0,0,1232,1234,5,116,0,0, 1233,1218,1,0,0,0,1233,1222,1,0,0,0,1234,198,1,0,0,0,1235,1236,5, 98,0,0,1236,1237,5,105,0,0,1237,1238,5,116,0,0,1238,1239,5,99,0, 0,1239,1240,5,111,0,0,1240,1241,5,117,0,0,1241,1242,5,110,0,0,1242, 1258,5,116,0,0,1243,1244,5,112,0,0,1244,1245,5,111,0,0,1245,1246, 5,112,0,0,1246,1247,5,99,0,0,1247,1248,5,111,0,0,1248,1249,5,117, 0,0,1249,1250,5,110,0,0,1250,1258,5,116,0,0,1251,1252,5,112,0,0, 1252,1253,5,111,0,0,1253,1254,5,112,0,0,1254,1255,5,99,0,0,1255, 1256,5,110,0,0,1256,1258,5,116,0,0,1257,1235,1,0,0,0,1257,1243,1, 0,0,0,1257,1251,1,0,0,0,1258,200,1,0,0,0,1259,1260,5,115,0,0,1260, 1261,5,104,0,0,1261,1262,5,97,0,0,1262,1263,5,112,0,0,1263,1264, 5,101,0,0,1264,202,1,0,0,0,1265,1266,5,98,0,0,1266,1267,5,97,0,0, 1267,1268,5,110,0,0,1268,1281,5,100,0,0,1269,1270,5,98,0,0,1270, 1271,5,105,0,0,1271,1272,5,116,0,0,1272,1273,5,119,0,0,1273,1274, 5,105,0,0,1274,1275,5,115,0,0,1275,1276,5,101,0,0,1276,1277,5,95, 0,0,1277,1278,5,97,0,0,1278,1279,5,110,0,0,1279,1281,5,100,0,0,1280, 1265,1,0,0,0,1280,1269,1,0,0,0,1281,204,1,0,0,0,1282,1283,5,98,0, 0,1283,1284,5,120,0,0,1284,1285,5,111,0,0,1285,1298,5,114,0,0,1286, 1287,5,98,0,0,1287,1288,5,105,0,0,1288,1289,5,116,0,0,1289,1290, 5,119,0,0,1290,1291,5,105,0,0,1291,1292,5,115,0,0,1292,1293,5,101, 0,0,1293,1294,5,95,0,0,1294,1295,5,120,0,0,1295,1296,5,111,0,0,1296, 1298,5,114,0,0,1297,1282,1,0,0,0,1297,1286,1,0,0,0,1298,206,1,0, 0,0,1299,1300,5,98,0,0,1300,1301,5,111,0,0,1301,1313,5,114,0,0,1302, 1303,5,98,0,0,1303,1304,5,105,0,0,1304,1305,5,116,0,0,1305,1306, 5,119,0,0,1306,1307,5,105,0,0,1307,1308,5,115,0,0,1308,1309,5,101, 0,0,1309,1310,5,95,0,0,1310,1311,5,111,0,0,1311,1313,5,114,0,0,1312, 1299,1,0,0,0,1312,1302,1,0,0,0,1313,208,1,0,0,0,1314,1315,5,116, 0,0,1315,1316,5,101,0,0,1316,1317,5,110,0,0,1317,1318,5,115,0,0, 1318,1319,5,111,0,0,1319,1320,5,114,0,0,1320,210,1,0,0,0,1321,1322, 5,115,0,0,1322,1323,5,116,0,0,1323,1324,5,97,0,0,1324,1325,5,99, 0,0,1325,1326,5,107,0,0,1326,1327,5,95,0,0,1327,1328,5,112,0,0,1328, 1329,5,117,0,0,1329,1330,5,115,0,0,1330,1331,5,104,0,0,1331,212, 1,0,0,0,1332,1333,5,115,0,0,1333,1334,5,116,0,0,1334,1335,5,97,0, 0,1335,1336,5,99,0,0,1336,1337,5,107,0,0,1337,1338,5,95,0,0,1338, 1339,5,112,0,0,1339,1340,5,111,0,0,1340,1341,5,112,0,0,1341,214, 1,0,0,0,1342,1343,5,115,0,0,1343,1344,5,116,0,0,1344,1345,5,97,0, 0,1345,1346,5,99,0,0,1346,1347,5,107,0,0,1347,1348,5,95,0,0,1348, 1349,5,99,0,0,1349,1350,5,108,0,0,1350,1351,5,101,0,0,1351,1352, 5,97,0,0,1352,1353,5,114,0,0,1353,216,1,0,0,0,1354,1355,5,115,0, 0,1355,1356,5,116,0,0,1356,1357,5,97,0,0,1357,1358,5,99,0,0,1358, 1359,5,107,0,0,1359,1360,5,95,0,0,1360,1361,5,104,0,0,1361,1362, 5,97,0,0,1362,1363,5,115,0,0,1363,218,1,0,0,0,1364,1365,5,115,0, 0,1365,1366,5,116,0,0,1366,1367,5,97,0,0,1367,1368,5,99,0,0,1368, 1369,5,107,0,0,1369,1370,5,95,0,0,1370,1371,5,103,0,0,1371,1372, 5,101,0,0,1372,1373,5,116,0,0,1373,220,1,0,0,0,1374,1375,5,99,0, 0,1375,1376,5,97,0,0,1376,1395,5,116,0,0,1377,1378,5,99,0,0,1378, 1379,5,111,0,0,1379,1380,5,110,0,0,1380,1381,5,99,0,0,1381,1382, 5,97,0,0,1382,1395,5,116,0,0,1383,1384,5,99,0,0,1384,1385,5,111, 0,0,1385,1386,5,110,0,0,1386,1387,5,99,0,0,1387,1388,5,97,0,0,1388, 1389,5,116,0,0,1389,1390,5,101,0,0,1390,1391,5,110,0,0,1391,1392, 5,97,0,0,1392,1393,5,116,0,0,1393,1395,5,101,0,0,1394,1374,1,0,0, 0,1394,1377,1,0,0,0,1394,1383,1,0,0,0,1395,222,1,0,0,0,1396,1397, 5,105,0,0,1397,1398,5,110,0,0,1398,1399,5,116,0,0,1399,224,1,0,0, 0,1400,1401,5,102,0,0,1401,1402,5,108,0,0,1402,1403,5,111,0,0,1403, 1404,5,97,0,0,1404,1405,5,116,0,0,1405,226,1,0,0,0,1406,1407,5,117, 0,0,1407,1408,5,112,0,0,1408,1409,5,112,0,0,1409,1410,5,101,0,0, 1410,1411,5,114,0,0,1411,228,1,0,0,0,1412,1413,5,108,0,0,1413,1414, 5,111,0,0,1414,1415,5,119,0,0,1415,1416,5,101,0,0,1416,1417,5,114, 0,0,1417,230,1,0,0,0,1418,1419,5,116,0,0,1419,1420,5,114,0,0,1420, 1421,5,105,0,0,1421,1422,5,109,0,0,1422,232,1,0,0,0,1423,1424,5, 115,0,0,1424,1425,5,112,0,0,1425,1426,5,108,0,0,1426,1427,5,105, 0,0,1427,1428,5,116,0,0,1428,234,1,0,0,0,1429,1430,5,106,0,0,1430, 1431,5,111,0,0,1431,1432,5,105,0,0,1432,1433,5,110,0,0,1433,236, 1,0,0,0,1434,1435,5,115,0,0,1435,1436,5,117,0,0,1436,1437,5,98,0, 0,1437,1438,5,115,0,0,1438,1439,5,116,0,0,1439,1440,5,114,0,0,1440, 1441,5,105,0,0,1441,1442,5,110,0,0,1442,1443,5,103,0,0,1443,238, 1,0,0,0,1444,1445,5,115,0,0,1445,1446,5,117,0,0,1446,1447,5,98,0, 0,1447,1448,5,115,0,0,1448,1449,5,116,0,0,1449,1450,5,114,0,0,1450, 240,1,0,0,0,1451,1452,5,102,0,0,1452,1453,5,105,0,0,1453,1454,5, 110,0,0,1454,1455,5,100,0,0,1455,242,1,0,0,0,1456,1457,5,114,0,0, 1457,1458,5,101,0,0,1458,1459,5,112,0,0,1459,1460,5,108,0,0,1460, 1461,5,97,0,0,1461,1462,5,99,0,0,1462,1463,5,101,0,0,1463,244,1, 0,0,0,1464,1465,5,100,0,0,1465,1466,5,105,0,0,1466,1467,5,108,0, 0,1467,1468,5,97,0,0,1468,1469,5,116,0,0,1469,1470,5,101,0,0,1470, 246,1,0,0,0,1471,1472,5,101,0,0,1472,1473,5,114,0,0,1473,1474,5, 111,0,0,1474,1475,5,100,0,0,1475,1476,5,101,0,0,1476,248,1,0,0,0, 1477,1478,5,109,0,0,1478,1479,5,111,0,0,1479,1480,5,114,0,0,1480, 1481,5,112,0,0,1481,1482,5,104,0,0,1482,1483,5,95,0,0,1483,1484, 5,111,0,0,1484,1485,5,112,0,0,1485,1486,5,101,0,0,1486,1487,5,110, 0,0,1487,250,1,0,0,0,1488,1489,5,109,0,0,1489,1490,5,111,0,0,1490, 1491,5,114,0,0,1491,1492,5,112,0,0,1492,1493,5,104,0,0,1493,1494, 5,95,0,0,1494,1495,5,99,0,0,1495,1496,5,108,0,0,1496,1497,5,111, 0,0,1497,1498,5,115,0,0,1498,1499,5,101,0,0,1499,252,1,0,0,0,1500, 1501,5,114,0,0,1501,1502,5,103,0,0,1502,1503,5,98,0,0,1503,1504, 5,95,0,0,1504,1505,5,116,0,0,1505,1506,5,111,0,0,1506,1507,5,95, 0,0,1507,1508,5,104,0,0,1508,1509,5,115,0,0,1509,1510,5,118,0,0, 1510,254,1,0,0,0,1511,1512,5,104,0,0,1512,1513,5,115,0,0,1513,1514, 5,118,0,0,1514,1515,5,95,0,0,1515,1516,5,116,0,0,1516,1517,5,111, 0,0,1517,1518,5,95,0,0,1518,1519,5,114,0,0,1519,1520,5,103,0,0,1520, 1521,5,98,0,0,1521,256,1,0,0,0,1522,1523,5,105,0,0,1523,1524,5,110, 0,0,1524,1525,5,116,0,0,1525,1526,5,95,0,0,1526,1527,5,116,0,0,1527, 1528,5,111,0,0,1528,1529,5,95,0,0,1529,1530,5,114,0,0,1530,1531, 5,103,0,0,1531,1532,5,98,0,0,1532,258,1,0,0,0,1533,1534,5,114,0, 0,1534,1535,5,103,0,0,1535,1536,5,98,0,0,1536,1537,5,95,0,0,1537, 1538,5,116,0,0,1538,1539,5,111,0,0,1539,1540,5,95,0,0,1540,1541, 5,105,0,0,1541,1542,5,110,0,0,1542,1543,5,116,0,0,1543,260,1,0,0, 0,1544,1545,5,105,0,0,1545,1546,5,102,0,0,1546,262,1,0,0,0,1547, 1548,5,101,0,0,1548,1549,5,108,0,0,1549,1550,5,115,0,0,1550,1551, 5,101,0,0,1551,264,1,0,0,0,1552,1553,5,119,0,0,1553,1554,5,104,0, 0,1554,1555,5,105,0,0,1555,1556,5,108,0,0,1556,1557,5,101,0,0,1557, 266,1,0,0,0,1558,1559,5,102,0,0,1559,1560,5,111,0,0,1560,1561,5, 114,0,0,1561,268,1,0,0,0,1562,1563,5,105,0,0,1563,1564,5,110,0,0, 1564,270,1,0,0,0,1565,1566,5,98,0,0,1566,1567,5,114,0,0,1567,1568, 5,101,0,0,1568,1569,5,97,0,0,1569,1570,5,107,0,0,1570,272,1,0,0, 0,1571,1572,5,99,0,0,1572,1573,5,111,0,0,1573,1574,5,110,0,0,1574, 1575,5,116,0,0,1575,1576,5,105,0,0,1576,1577,5,110,0,0,1577,1578, 5,117,0,0,1578,1579,5,101,0,0,1579,274,1,0,0,0,1580,1581,5,114,0, 0,1581,1582,5,101,0,0,1582,1583,5,116,0,0,1583,1584,5,117,0,0,1584, 1585,5,114,0,0,1585,1586,5,110,0,0,1586,276,1,0,0,0,1587,1588,5, 116,0,0,1588,1589,5,105,0,0,1589,1590,5,109,0,0,1590,1591,5,101, 0,0,1591,1592,5,115,0,0,1592,1593,5,116,0,0,1593,1594,5,97,0,0,1594, 1595,5,109,0,0,1595,1600,5,112,0,0,1596,1597,5,110,0,0,1597,1598, 5,111,0,0,1598,1600,5,119,0,0,1599,1587,1,0,0,0,1599,1596,1,0,0, 0,1600,278,1,0,0,0,1601,1602,5,115,0,0,1602,1603,5,111,0,0,1603, 1604,5,114,0,0,1604,1605,5,116,0,0,1605,280,1,0,0,0,1606,1607,5, 97,0,0,1607,1608,5,114,0,0,1608,1609,5,103,0,0,1609,1610,5,115,0, 0,1610,1611,5,111,0,0,1611,1612,5,114,0,0,1612,1613,5,116,0,0,1613, 282,1,0,0,0,1614,1615,5,97,0,0,1615,1616,5,114,0,0,1616,1617,5,103, 0,0,1617,1618,5,109,0,0,1618,1619,5,105,0,0,1619,1620,5,110,0,0, 1620,284,1,0,0,0,1621,1622,5,97,0,0,1622,1623,5,114,0,0,1623,1624, 5,103,0,0,1624,1625,5,109,0,0,1625,1626,5,97,0,0,1626,1627,5,120, 0,0,1627,286,1,0,0,0,1628,1629,5,115,0,0,1629,1630,5,111,0,0,1630, 1631,5,102,0,0,1631,1632,5,116,0,0,1632,1633,5,109,0,0,1633,1634, 5,97,0,0,1634,1635,5,120,0,0,1635,288,1,0,0,0,1636,1637,5,115,0, 0,1637,1638,5,111,0,0,1638,1639,5,102,0,0,1639,1640,5,116,0,0,1640, 1641,5,109,0,0,1641,1642,5,105,0,0,1642,1643,5,110,0,0,1643,290, 1,0,0,0,1644,1645,5,117,0,0,1645,1646,5,110,0,0,1646,1647,5,105, 0,0,1647,1648,5,113,0,0,1648,1649,5,117,0,0,1649,1650,5,101,0,0, 1650,292,1,0,0,0,1651,1652,5,102,0,0,1652,1653,5,108,0,0,1653,1654, 5,105,0,0,1654,1655,5,112,0,0,1655,294,1,0,0,0,1656,1657,5,114,0, 0,1657,1658,5,111,0,0,1658,1659,5,108,0,0,1659,1660,5,108,0,0,1660, 296,1,0,0,0,1661,1662,5,99,0,0,1662,1663,5,111,0,0,1663,1664,5,118, 0,0,1664,298,1,0,0,0,1665,1666,5,99,0,0,1666,1667,5,111,0,0,1667, 1668,5,114,0,0,1668,1681,5,114,0,0,1669,1670,5,99,0,0,1670,1671, 5,111,0,0,1671,1672,5,114,0,0,1672,1673,5,114,0,0,1673,1674,5,101, 0,0,1674,1675,5,108,0,0,1675,1676,5,97,0,0,1676,1677,5,116,0,0,1677, 1678,5,105,0,0,1678,1679,5,111,0,0,1679,1681,5,110,0,0,1680,1665, 1,0,0,0,1680,1669,1,0,0,0,1681,300,1,0,0,0,1682,1683,5,101,0,0,1683, 1684,5,110,0,0,1684,1685,5,116,0,0,1685,1686,5,114,0,0,1686,1687, 5,111,0,0,1687,1688,5,112,0,0,1688,1689,5,121,0,0,1689,302,1,0,0, 0,1690,1691,5,99,0,0,1691,1692,5,114,0,0,1692,1693,5,111,0,0,1693, 1694,5,112,0,0,1694,304,1,0,0,0,1695,1696,5,110,0,0,1696,1697,5, 111,0,0,1697,1698,5,110,0,0,1698,1712,5,101,0,0,1699,1700,5,78,0, 0,1700,1701,5,111,0,0,1701,1702,5,110,0,0,1702,1712,5,101,0,0,1703, 1704,5,110,0,0,1704,1705,5,117,0,0,1705,1706,5,108,0,0,1706,1712, 5,108,0,0,1707,1708,5,78,0,0,1708,1709,5,85,0,0,1709,1710,5,76,0, 0,1710,1712,5,76,0,0,1711,1695,1,0,0,0,1711,1699,1,0,0,0,1711,1703, 1,0,0,0,1711,1707,1,0,0,0,1712,306,1,0,0,0,1713,1714,5,110,0,0,1714, 1715,5,111,0,0,1715,1716,5,105,0,0,1716,1717,5,115,0,0,1717,1737, 5,101,0,0,1718,1719,5,114,0,0,1719,1720,5,97,0,0,1720,1721,5,110, 0,0,1721,1722,5,100,0,0,1722,1737,5,110,0,0,1723,1724,5,114,0,0, 1724,1725,5,97,0,0,1725,1726,5,110,0,0,1726,1727,5,100,0,0,1727, 1728,5,111,0,0,1728,1729,5,109,0,0,1729,1730,5,95,0,0,1730,1731, 5,110,0,0,1731,1732,5,111,0,0,1732,1733,5,114,0,0,1733,1734,5,109, 0,0,1734,1735,5,97,0,0,1735,1737,5,108,0,0,1736,1713,1,0,0,0,1736, 1718,1,0,0,0,1736,1723,1,0,0,0,1737,308,1,0,0,0,1738,1739,5,114, 0,0,1739,1740,5,97,0,0,1740,1741,5,110,0,0,1741,1762,5,100,0,0,1742, 1743,5,114,0,0,1743,1744,5,97,0,0,1744,1745,5,110,0,0,1745,1746, 5,100,0,0,1746,1762,5,117,0,0,1747,1748,5,114,0,0,1748,1749,5,97, 0,0,1749,1750,5,110,0,0,1750,1751,5,100,0,0,1751,1752,5,111,0,0, 1752,1753,5,109,0,0,1753,1754,5,95,0,0,1754,1755,5,117,0,0,1755, 1756,5,110,0,0,1756,1757,5,105,0,0,1757,1758,5,102,0,0,1758,1759, 5,111,0,0,1759,1760,5,114,0,0,1760,1762,5,109,0,0,1761,1738,1,0, 0,0,1761,1742,1,0,0,0,1761,1747,1,0,0,0,1762,310,1,0,0,0,1763,1764, 5,114,0,0,1764,1765,5,97,0,0,1765,1766,5,110,0,0,1766,1767,5,100, 0,0,1767,1782,5,99,0,0,1768,1769,5,114,0,0,1769,1770,5,97,0,0,1770, 1771,5,110,0,0,1771,1772,5,100,0,0,1772,1773,5,111,0,0,1773,1774, 5,109,0,0,1774,1775,5,95,0,0,1775,1776,5,99,0,0,1776,1777,5,97,0, 0,1777,1778,5,117,0,0,1778,1779,5,99,0,0,1779,1780,5,104,0,0,1780, 1782,5,121,0,0,1781,1763,1,0,0,0,1781,1768,1,0,0,0,1782,312,1,0, 0,0,1783,1784,5,114,0,0,1784,1785,5,97,0,0,1785,1786,5,110,0,0,1786, 1787,5,100,0,0,1787,1807,5,101,0,0,1788,1789,5,114,0,0,1789,1790, 5,97,0,0,1790,1791,5,110,0,0,1791,1792,5,100,0,0,1792,1793,5,111, 0,0,1793,1794,5,109,0,0,1794,1795,5,95,0,0,1795,1796,5,101,0,0,1796, 1797,5,120,0,0,1797,1798,5,112,0,0,1798,1799,5,111,0,0,1799,1800, 5,110,0,0,1800,1801,5,101,0,0,1801,1802,5,110,0,0,1802,1803,5,116, 0,0,1803,1804,5,105,0,0,1804,1805,5,97,0,0,1805,1807,5,108,0,0,1806, 1783,1,0,0,0,1806,1788,1,0,0,0,1807,314,1,0,0,0,1808,1809,5,114, 0,0,1809,1810,5,97,0,0,1810,1811,5,110,0,0,1811,1812,5,100,0,0,1812, 1813,5,108,0,0,1813,1832,5,110,0,0,1814,1815,5,114,0,0,1815,1816, 5,97,0,0,1816,1817,5,110,0,0,1817,1818,5,100,0,0,1818,1819,5,111, 0,0,1819,1820,5,109,0,0,1820,1821,5,95,0,0,1821,1822,5,108,0,0,1822, 1823,5,111,0,0,1823,1824,5,103,0,0,1824,1825,5,95,0,0,1825,1826, 5,110,0,0,1826,1827,5,111,0,0,1827,1828,5,114,0,0,1828,1829,5,109, 0,0,1829,1830,5,97,0,0,1830,1832,5,108,0,0,1831,1808,1,0,0,0,1831, 1814,1,0,0,0,1832,316,1,0,0,0,1833,1834,5,114,0,0,1834,1835,5,97, 0,0,1835,1836,5,110,0,0,1836,1837,5,100,0,0,1837,1855,5,98,0,0,1838, 1839,5,114,0,0,1839,1840,5,97,0,0,1840,1841,5,110,0,0,1841,1842, 5,100,0,0,1842,1843,5,111,0,0,1843,1844,5,109,0,0,1844,1845,5,95, 0,0,1845,1846,5,98,0,0,1846,1847,5,101,0,0,1847,1848,5,114,0,0,1848, 1849,5,110,0,0,1849,1850,5,111,0,0,1850,1851,5,117,0,0,1851,1852, 5,108,0,0,1852,1853,5,108,0,0,1853,1855,5,105,0,0,1854,1833,1,0, 0,0,1854,1838,1,0,0,0,1855,318,1,0,0,0,1856,1857,5,114,0,0,1857, 1858,5,97,0,0,1858,1859,5,110,0,0,1859,1860,5,100,0,0,1860,1876, 5,112,0,0,1861,1862,5,114,0,0,1862,1863,5,97,0,0,1863,1864,5,110, 0,0,1864,1865,5,100,0,0,1865,1866,5,111,0,0,1866,1867,5,109,0,0, 1867,1868,5,95,0,0,1868,1869,5,112,0,0,1869,1870,5,111,0,0,1870, 1871,5,105,0,0,1871,1872,5,115,0,0,1872,1873,5,115,0,0,1873,1874, 5,111,0,0,1874,1876,5,110,0,0,1875,1856,1,0,0,0,1875,1861,1,0,0, 0,1876,320,1,0,0,0,1877,1878,5,114,0,0,1878,1879,5,97,0,0,1879,1880, 5,110,0,0,1880,1881,5,100,0,0,1881,1895,5,103,0,0,1882,1883,5,114, 0,0,1883,1884,5,97,0,0,1884,1885,5,110,0,0,1885,1886,5,100,0,0,1886, 1887,5,111,0,0,1887,1888,5,109,0,0,1888,1889,5,95,0,0,1889,1890, 5,103,0,0,1890,1891,5,97,0,0,1891,1892,5,109,0,0,1892,1893,5,109, 0,0,1893,1895,5,97,0,0,1894,1877,1,0,0,0,1894,1882,1,0,0,0,1895, 322,1,0,0,0,1896,1897,5,114,0,0,1897,1898,5,97,0,0,1898,1899,5,110, 0,0,1899,1900,5,100,0,0,1900,1901,5,98,0,0,1901,1902,5,101,0,0,1902, 1903,5,116,0,0,1903,1916,5,97,0,0,1904,1905,5,114,0,0,1905,1906, 5,97,0,0,1906,1907,5,110,0,0,1907,1908,5,100,0,0,1908,1909,5,111, 0,0,1909,1910,5,109,0,0,1910,1911,5,95,0,0,1911,1912,5,98,0,0,1912, 1913,5,101,0,0,1913,1914,5,116,0,0,1914,1916,5,97,0,0,1915,1896, 1,0,0,0,1915,1904,1,0,0,0,1916,324,1,0,0,0,1917,1918,5,114,0,0,1918, 1919,5,97,0,0,1919,1920,5,110,0,0,1920,1921,5,100,0,0,1921,1937, 5,108,0,0,1922,1923,5,114,0,0,1923,1924,5,97,0,0,1924,1925,5,110, 0,0,1925,1926,5,100,0,0,1926,1927,5,111,0,0,1927,1928,5,109,0,0, 1928,1929,5,95,0,0,1929,1930,5,108,0,0,1930,1931,5,97,0,0,1931,1932, 5,112,0,0,1932,1933,5,108,0,0,1933,1934,5,97,0,0,1934,1935,5,99, 0,0,1935,1937,5,101,0,0,1936,1917,1,0,0,0,1936,1922,1,0,0,0,1937, 326,1,0,0,0,1938,1939,5,114,0,0,1939,1940,5,97,0,0,1940,1941,5,110, 0,0,1941,1942,5,100,0,0,1942,1943,5,103,0,0,1943,1944,5,117,0,0, 1944,1945,5,109,0,0,1945,1946,5,98,0,0,1946,1947,5,101,0,0,1947, 1962,5,108,0,0,1948,1949,5,114,0,0,1949,1950,5,97,0,0,1950,1951, 5,110,0,0,1951,1952,5,100,0,0,1952,1953,5,111,0,0,1953,1954,5,109, 0,0,1954,1955,5,95,0,0,1955,1956,5,103,0,0,1956,1957,5,117,0,0,1957, 1958,5,109,0,0,1958,1959,5,98,0,0,1959,1960,5,101,0,0,1960,1962, 5,108,0,0,1961,1938,1,0,0,0,1961,1948,1,0,0,0,1962,328,1,0,0,0,1963, 1964,5,114,0,0,1964,1965,5,97,0,0,1965,1966,5,110,0,0,1966,1967, 5,100,0,0,1967,1983,5,119,0,0,1968,1969,5,114,0,0,1969,1970,5,97, 0,0,1970,1971,5,110,0,0,1971,1972,5,100,0,0,1972,1973,5,111,0,0, 1973,1974,5,109,0,0,1974,1975,5,95,0,0,1975,1976,5,119,0,0,1976, 1977,5,101,0,0,1977,1978,5,105,0,0,1978,1979,5,98,0,0,1979,1980, 5,117,0,0,1980,1981,5,108,0,0,1981,1983,5,108,0,0,1982,1963,1,0, 0,0,1982,1968,1,0,0,0,1983,330,1,0,0,0,1984,1985,5,114,0,0,1985, 1986,5,97,0,0,1986,1987,5,110,0,0,1987,1988,5,100,0,0,1988,1989, 5,99,0,0,1989,1990,5,104,0,0,1990,1991,5,105,0,0,1991,2004,5,50, 0,0,1992,1993,5,114,0,0,1993,1994,5,97,0,0,1994,1995,5,110,0,0,1995, 1996,5,100,0,0,1996,1997,5,111,0,0,1997,1998,5,109,0,0,1998,1999, 5,95,0,0,1999,2000,5,99,0,0,2000,2001,5,104,0,0,2001,2002,5,105, 0,0,2002,2004,5,50,0,0,2003,1984,1,0,0,0,2003,1992,1,0,0,0,2004, 332,1,0,0,0,2005,2006,5,114,0,0,2006,2007,5,97,0,0,2007,2008,5,110, 0,0,2008,2009,5,100,0,0,2009,2026,5,116,0,0,2010,2011,5,114,0,0, 2011,2012,5,97,0,0,2012,2013,5,110,0,0,2013,2014,5,100,0,0,2014, 2015,5,111,0,0,2015,2016,5,109,0,0,2016,2017,5,95,0,0,2017,2018, 5,115,0,0,2018,2019,5,116,0,0,2019,2020,5,117,0,0,2020,2021,5,100, 0,0,2021,2022,5,101,0,0,2022,2023,5,110,0,0,2023,2024,5,116,0,0, 2024,2026,5,116,0,0,2025,2005,1,0,0,0,2025,2010,1,0,0,0,2026,334, 1,0,0,0,2027,2028,5,112,0,0,2028,2029,5,101,0,0,2029,2030,5,114, 0,0,2030,2031,5,108,0,0,2031,2032,5,105,0,0,2032,2046,5,110,0,0, 2033,2034,5,112,0,0,2034,2035,5,101,0,0,2035,2036,5,114,0,0,2036, 2037,5,108,0,0,2037,2038,5,105,0,0,2038,2039,5,110,0,0,2039,2040, 5,95,0,0,2040,2041,5,110,0,0,2041,2042,5,111,0,0,2042,2043,5,105, 0,0,2043,2044,5,115,0,0,2044,2046,5,101,0,0,2045,2027,1,0,0,0,2045, 2033,1,0,0,0,2046,336,1,0,0,0,2047,2048,5,99,0,0,2048,2049,5,101, 0,0,2049,2050,5,108,0,0,2050,2051,5,108,0,0,2051,2052,5,117,0,0, 2052,2053,5,108,0,0,2053,2054,5,97,0,0,2054,2096,5,114,0,0,2055, 2056,5,118,0,0,2056,2057,5,111,0,0,2057,2058,5,114,0,0,2058,2059, 5,111,0,0,2059,2060,5,110,0,0,2060,2061,5,111,0,0,2061,2096,5,105, 0,0,2062,2063,5,119,0,0,2063,2064,5,111,0,0,2064,2065,5,114,0,0, 2065,2066,5,108,0,0,2066,2067,5,101,0,0,2067,2096,5,121,0,0,2068, 2069,5,99,0,0,2069,2070,5,101,0,0,2070,2071,5,108,0,0,2071,2072, 5,108,0,0,2072,2073,5,117,0,0,2073,2074,5,108,0,0,2074,2075,5,97, 0,0,2075,2076,5,114,0,0,2076,2077,5,95,0,0,2077,2078,5,110,0,0,2078, 2079,5,111,0,0,2079,2080,5,105,0,0,2080,2081,5,115,0,0,2081,2096, 5,101,0,0,2082,2083,5,118,0,0,2083,2084,5,111,0,0,2084,2085,5,114, 0,0,2085,2086,5,111,0,0,2086,2087,5,110,0,0,2087,2088,5,111,0,0, 2088,2089,5,105,0,0,2089,2090,5,95,0,0,2090,2091,5,110,0,0,2091, 2092,5,111,0,0,2092,2093,5,105,0,0,2093,2094,5,115,0,0,2094,2096, 5,101,0,0,2095,2047,1,0,0,0,2095,2055,1,0,0,0,2095,2062,1,0,0,0, 2095,2068,1,0,0,0,2095,2082,1,0,0,0,2096,338,1,0,0,0,2097,2098,5, 112,0,0,2098,2099,5,108,0,0,2099,2100,5,97,0,0,2100,2101,5,115,0, 0,2101,2102,5,109,0,0,2102,2126,5,97,0,0,2103,2104,5,116,0,0,2104, 2105,5,117,0,0,2105,2106,5,114,0,0,2106,2107,5,98,0,0,2107,2108, 5,117,0,0,2108,2109,5,108,0,0,2109,2110,5,101,0,0,2110,2111,5,110, 0,0,2111,2112,5,99,0,0,2112,2126,5,101,0,0,2113,2114,5,112,0,0,2114, 2115,5,108,0,0,2115,2116,5,97,0,0,2116,2117,5,115,0,0,2117,2118, 5,109,0,0,2118,2119,5,97,0,0,2119,2120,5,95,0,0,2120,2121,5,110, 0,0,2121,2122,5,111,0,0,2122,2123,5,105,0,0,2123,2124,5,115,0,0, 2124,2126,5,101,0,0,2125,2097,1,0,0,0,2125,2103,1,0,0,0,2125,2113, 1,0,0,0,2126,340,1,0,0,0,2127,2128,5,43,0,0,2128,342,1,0,0,0,2129, 2130,5,45,0,0,2130,344,1,0,0,0,2131,2132,5,42,0,0,2132,346,1,0,0, 0,2133,2134,5,47,0,0,2134,348,1,0,0,0,2135,2136,5,37,0,0,2136,350, 1,0,0,0,2137,2138,5,94,0,0,2138,352,1,0,0,0,2139,2140,5,60,0,0,2140, 2141,5,60,0,0,2141,354,1,0,0,0,2142,2143,5,62,0,0,2143,2144,5,62, 0,0,2144,356,1,0,0,0,2145,2146,5,62,0,0,2146,2147,5,61,0,0,2147, 358,1,0,0,0,2148,2149,5,62,0,0,2149,360,1,0,0,0,2150,2151,5,60,0, 0,2151,2152,5,61,0,0,2152,362,1,0,0,0,2153,2154,5,60,0,0,2154,364, 1,0,0,0,2155,2156,5,61,0,0,2156,2157,5,61,0,0,2157,366,1,0,0,0,2158, 2159,5,61,0,0,2159,368,1,0,0,0,2160,2161,5,43,0,0,2161,2162,5,61, 0,0,2162,370,1,0,0,0,2163,2164,5,45,0,0,2164,2165,5,61,0,0,2165, 372,1,0,0,0,2166,2167,5,42,0,0,2167,2168,5,61,0,0,2168,374,1,0,0, 0,2169,2170,5,47,0,0,2170,2171,5,61,0,0,2171,376,1,0,0,0,2172,2173, 5,37,0,0,2173,2174,5,61,0,0,2174,378,1,0,0,0,2175,2176,5,33,0,0, 2176,2177,5,61,0,0,2177,380,1,0,0,0,2178,2179,5,124,0,0,2179,382, 1,0,0,0,2180,2181,5,40,0,0,2181,384,1,0,0,0,2182,2183,5,41,0,0,2183, 386,1,0,0,0,2184,2185,5,44,0,0,2185,388,1,0,0,0,2186,2187,5,59,0, 0,2187,390,1,0,0,0,2188,2189,5,45,0,0,2189,2190,5,62,0,0,2190,392, 1,0,0,0,2191,2192,5,91,0,0,2192,394,1,0,0,0,2193,2194,5,93,0,0,2194, 396,1,0,0,0,2195,2196,5,63,0,0,2196,398,1,0,0,0,2197,2198,5,58,0, 0,2198,400,1,0,0,0,2199,2200,5,123,0,0,2200,402,1,0,0,0,2201,2202, 5,125,0,0,2202,404,1,0,0,0,2203,2205,7,0,0,0,2204,2203,1,0,0,0,2205, 2206,1,0,0,0,2206,2204,1,0,0,0,2206,2207,1,0,0,0,2207,2215,1,0,0, 0,2208,2212,5,46,0,0,2209,2211,7,0,0,0,2210,2209,1,0,0,0,2211,2214, 1,0,0,0,2212,2210,1,0,0,0,2212,2213,1,0,0,0,2213,2216,1,0,0,0,2214, 2212,1,0,0,0,2215,2208,1,0,0,0,2215,2216,1,0,0,0,2216,2224,1,0,0, 0,2217,2219,5,46,0,0,2218,2220,7,0,0,0,2219,2218,1,0,0,0,2220,2221, 1,0,0,0,2221,2219,1,0,0,0,2221,2222,1,0,0,0,2222,2224,1,0,0,0,2223, 2204,1,0,0,0,2223,2217,1,0,0,0,2224,2234,1,0,0,0,2225,2227,7,1,0, 0,2226,2228,7,2,0,0,2227,2226,1,0,0,0,2227,2228,1,0,0,0,2228,2230, 1,0,0,0,2229,2231,7,0,0,0,2230,2229,1,0,0,0,2231,2232,1,0,0,0,2232, 2230,1,0,0,0,2232,2233,1,0,0,0,2233,2235,1,0,0,0,2234,2225,1,0,0, 0,2234,2235,1,0,0,0,2235,406,1,0,0,0,2236,2237,5,112,0,0,2237,2242, 5,105,0,0,2238,2239,5,80,0,0,2239,2242,5,73,0,0,2240,2242,7,1,0, 0,2241,2236,1,0,0,0,2241,2238,1,0,0,0,2241,2240,1,0,0,0,2242,408, 1,0,0,0,2243,2249,5,34,0,0,2244,2248,8,3,0,0,2245,2246,5,92,0,0, 2246,2248,9,0,0,0,2247,2244,1,0,0,0,2247,2245,1,0,0,0,2248,2251, 1,0,0,0,2249,2247,1,0,0,0,2249,2250,1,0,0,0,2250,2252,1,0,0,0,2251, 2249,1,0,0,0,2252,2264,5,34,0,0,2253,2259,5,39,0,0,2254,2258,8,4, 0,0,2255,2256,5,92,0,0,2256,2258,9,0,0,0,2257,2254,1,0,0,0,2257, 2255,1,0,0,0,2258,2261,1,0,0,0,2259,2257,1,0,0,0,2259,2260,1,0,0, 0,2260,2262,1,0,0,0,2261,2259,1,0,0,0,2262,2264,5,39,0,0,2263,2243, 1,0,0,0,2263,2253,1,0,0,0,2264,410,1,0,0,0,2265,2269,7,5,0,0,2266, 2268,7,6,0,0,2267,2266,1,0,0,0,2268,2271,1,0,0,0,2269,2267,1,0,0, 0,2269,2270,1,0,0,0,2270,412,1,0,0,0,2271,2269,1,0,0,0,2272,2276, 5,35,0,0,2273,2275,8,7,0,0,2274,2273,1,0,0,0,2275,2278,1,0,0,0,2276, 2274,1,0,0,0,2276,2277,1,0,0,0,2277,2279,1,0,0,0,2278,2276,1,0,0, 0,2279,2280,6,206,0,0,2280,414,1,0,0,0,2281,2282,5,47,0,0,2282,2283, 5,42,0,0,2283,2287,1,0,0,0,2284,2286,9,0,0,0,2285,2284,1,0,0,0,2286, 2289,1,0,0,0,2287,2288,1,0,0,0,2287,2285,1,0,0,0,2288,2290,1,0,0, 0,2289,2287,1,0,0,0,2290,2291,5,42,0,0,2291,2292,5,47,0,0,2292,2293, 1,0,0,0,2293,2294,6,207,0,0,2294,416,1,0,0,0,2295,2297,7,8,0,0,2296, 2295,1,0,0,0,2297,2298,1,0,0,0,2298,2296,1,0,0,0,2298,2299,1,0,0, 0,2299,2300,1,0,0,0,2300,2301,6,208,0,0,2301,418,1,0,0,0,63,0,611, 626,702,719,737,750,823,840,898,947,969,986,1007,1022,1049,1080, 1096,1160,1233,1257,1280,1297,1312,1394,1599,1680,1711,1736,1761, 1781,1806,1831,1854,1875,1894,1915,1936,1961,1982,2003,2025,2045, 2095,2125,2206,2212,2215,2221,2223,2227,2232,2234,2241,2247,2249, 2257,2259,2263,2269,2276,2287,2298,1,6,0,0 ] 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 OVERLAY = 94 PAD = 95 CROSS = 96 MATMUL = 97 RIFE = 98 BNOT = 99 BITCOUNT = 100 SHAPE = 101 BAND = 102 XOR = 103 BOR = 104 TENSOR = 105 PUSH = 106 POP = 107 CLEAR = 108 HAS = 109 GET = 110 CONCAT = 111 INT = 112 FLOAT = 113 UPPER = 114 LOWER = 115 TRIM = 116 SPLIT = 117 JOIN = 118 SUBSTRING = 119 SUBSTR = 120 FIND = 121 REPLACE = 122 DILATE = 123 ERODE = 124 MORPH_OPEN = 125 MORPH_CLOSE = 126 RGB_TO_HSV = 127 HSV_TO_RGB = 128 INT_TO_RGB = 129 RGB_TO_INT = 130 IF = 131 ELSE = 132 WHILE = 133 FOR = 134 IN = 135 BREAK = 136 CONTINUE = 137 RETURN = 138 TIMESTAMP = 139 SORT = 140 ARGSORT = 141 ARGMIN = 142 ARGMAX = 143 SOFTMAX = 144 SOFTMIN = 145 UNIQUE = 146 FLIP = 147 ROLL = 148 COV = 149 CORR = 150 ENTROPY = 151 CROP = 152 NONE = 153 NOISE = 154 RAND = 155 CAUCHY = 156 EXPONENTIAL = 157 LOGNORMAL = 158 BERNOULLI = 159 POISSON = 160 GAMMADIST = 161 BETADIST = 162 LAPLACEDIST = 163 GUMBELDIST = 164 WEIBULLDIST = 165 CHI2DIST = 166 STUDENTTDIST = 167 PERLIN = 168 CELLULAR = 169 PLASMA = 170 PLUS = 171 MINUS = 172 MULT = 173 DIV = 174 MOD = 175 POW = 176 LSHIFT = 177 RSHIFT = 178 GE = 179 GT = 180 LE = 181 LT = 182 EQ = 183 EQUEALS = 184 PLUS_EQ = 185 MINUS_EQ = 186 MULT_EQ = 187 DIV_EQ = 188 MOD_EQ = 189 NE = 190 PIPE = 191 LPAREN = 192 RPAREN = 193 COMMA = 194 SEMICOLON = 195 ARROW = 196 LBRACKET = 197 RBRACKET = 198 QUESTION = 199 COLON = 200 LBRACE = 201 RBRACE = 202 NUMBER = 203 CONSTANT = 204 STRING = 205 VARIABLE = 206 SL_COMMENT = 207 ML_COMMENT = 208 WS = 209 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'", "'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_hsv'", "'hsv_to_rgb'", "'int_to_rgb'", "'rgb_to_int'", "'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", "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_HSV", "HSV_TO_RGB", "INT_TO_RGB", "RGB_TO_INT", "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", "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", "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_HSV", "HSV_TO_RGB", "INT_TO_RGB", "RGB_TO_INT", "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", "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