# 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 [ 4,0,220,2524,6,-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, 2,219,7,219,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1,2,1,3, 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, 35,1,35,1,35,1,35,3,35,634,8,35,1,36,1,36,1,36,1,36,1,36,1,36,1, 36,1,36,1,36,1,36,1,36,1,36,1,36,3,36,649,8,36,1,37,1,37,1,37,1, 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, 46,1,46,1,46,1,46,1,46,1,46,3,46,725,8,46,1,47,1,47,1,47,1,47,1, 47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,1,47,3,47,742,8, 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, 49,1,49,1,49,1,49,3,49,760,8,49,1,50,1,50,1,50,1,50,1,50,1,50,1, 50,1,50,1,50,1,50,1,50,3,50,773,8,50,1,51,1,51,1,51,1,51,1,51,1, 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, 61,3,61,846,8,61,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1, 62,1,62,1,62,1,62,1,62,1,62,3,62,863,8,62,1,63,1,63,1,63,1,63,1, 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, 71,921,8,71,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,73,1,73,1,73,1, 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, 76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,3,76,970,8, 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, 77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,3,77,992,8,77,1,78,1,78,1, 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, 78,1009,8,78,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1, 79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,3,79,1030,8,79,1,80,1, 80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,3,80,1045, 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, 3,82,1072,8,82,1,83,1,83,1,83,1,83,1,83,1,83,1,84,1,84,1,84,1,84, 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, 1,84,1,84,1,84,1,84,1,84,1,84,3,84,1103,8,84,1,85,1,85,1,85,1,85, 1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,85,3,85,1119,8,85, 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, 1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,3,90,1183,8,90, 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, 1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,93,3,93,1233,8,93,1,94, 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, 1,94,1,94,1,94,1,94,3,94,1253,8,94,1,95,1,95,1,95,1,95,1,95,1,95, 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, 3,96,1274,8,96,1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,98,1,98, 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, 1,102,3,102,1321,8,102,1,103,1,103,1,103,1,103,1,103,1,103,1,103, 1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,103, 1,103,1,103,1,103,1,103,3,103,1345,8,103,1,104,1,104,1,104,1,104, 1,104,1,104,1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105, 1,105,1,105,1,105,1,105,1,105,1,105,3,105,1368,8,105,1,106,1,106, 1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106, 1,106,1,106,3,106,1385,8,106,1,107,1,107,1,107,1,107,1,107,1,107, 1,107,1,107,1,107,1,107,1,107,1,107,1,107,3,107,1400,8,107,1,108, 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, 1,114,1,114,3,114,1482,8,114,1,115,1,115,1,115,1,115,1,116,1,116, 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, 1,131,1,131,1,131,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132, 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, 3,140,1765,8,140,1,141,1,141,1,141,1,142,1,142,1,142,1,142,1,142, 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, 1,149,1,149,1,149,3,149,1822,8,149,1,150,1,150,1,150,1,150,1,150, 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, 1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,3,160,1903,8,160, 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, 1,163,1,163,1,163,1,163,1,163,1,163,1,163,3,163,1934,8,163,1,164, 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, 3,164,1959,8,164,1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165, 1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,165, 1,165,1,165,1,165,1,165,3,165,1984,8,165,1,166,1,166,1,166,1,166, 1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166, 1,166,1,166,1,166,3,166,2004,8,166,1,167,1,167,1,167,1,167,1,167, 1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,167, 1,167,1,167,1,167,1,167,1,167,1,167,1,167,3,167,2029,8,167,1,168, 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, 3,168,2054,8,168,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169, 1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169,1,169, 1,169,1,169,3,169,2077,8,169,1,170,1,170,1,170,1,170,1,170,1,170, 1,170,1,170,1,170,1,170,1,170,1,170,1,170,1,170,1,170,1,170,1,170, 1,170,1,170,3,170,2098,8,170,1,171,1,171,1,171,1,171,1,171,1,171, 1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171, 3,171,2117,8,171,1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172, 1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172, 3,172,2138,8,172,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173, 1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173, 3,173,2159,8,173,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174, 1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174, 1,174,1,174,1,174,1,174,3,174,2184,8,174,1,175,1,175,1,175,1,175, 1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175, 1,175,1,175,1,175,1,175,3,175,2205,8,175,1,176,1,176,1,176,1,176, 1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176, 1,176,1,176,1,176,1,176,3,176,2226,8,176,1,177,1,177,1,177,1,177, 1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177, 1,177,1,177,1,177,1,177,1,177,3,177,2248,8,177,1,178,1,178,1,178, 1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178, 1,178,1,178,1,178,1,178,3,178,2268,8,178,1,179,1,179,1,179,1,179, 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, 3,179,2318,8,179,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180, 1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180, 1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,3,180,2348, 8,180,1,181,1,181,1,182,1,182,1,183,1,183,1,184,1,184,1,185,1,185, 1,186,1,186,1,187,1,187,1,187,1,188,1,188,1,188,1,189,1,189,1,189, 1,190,1,190,1,191,1,191,1,191,1,192,1,192,1,193,1,193,1,193,1,194, 1,194,1,195,1,195,1,195,1,196,1,196,1,196,1,197,1,197,1,197,1,198, 1,198,1,198,1,199,1,199,1,199,1,200,1,200,1,200,1,201,1,201,1,202, 1,202,1,203,1,203,1,204,1,204,1,205,1,205,1,206,1,206,1,206,1,207, 1,207,1,208,1,208,1,209,1,209,1,210,1,210,1,211,1,211,1,212,1,212, 1,213,4,213,2427,8,213,11,213,12,213,2428,1,213,1,213,5,213,2433, 8,213,10,213,12,213,2436,9,213,3,213,2438,8,213,1,213,1,213,4,213, 2442,8,213,11,213,12,213,2443,3,213,2446,8,213,1,213,1,213,3,213, 2450,8,213,1,213,4,213,2453,8,213,11,213,12,213,2454,3,213,2457, 8,213,1,214,1,214,1,214,1,214,1,214,3,214,2464,8,214,1,215,1,215, 1,215,1,215,5,215,2470,8,215,10,215,12,215,2473,9,215,1,215,1,215, 1,215,1,215,1,215,5,215,2480,8,215,10,215,12,215,2483,9,215,1,215, 3,215,2486,8,215,1,216,1,216,5,216,2490,8,216,10,216,12,216,2493, 9,216,1,217,1,217,5,217,2497,8,217,10,217,12,217,2500,9,217,1,217, 1,217,1,218,1,218,1,218,1,218,5,218,2508,8,218,10,218,12,218,2511, 9,218,1,218,1,218,1,218,1,218,1,218,1,219,4,219,2519,8,219,11,219, 12,219,2520,1,219,1,219,1,2509,0,220,1,1,3,2,5,3,7,4,9,5,11,6,13, 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, 219,439,220,1,0,9,1,0,48,57,2,0,69,69,101,101,2,0,43,43,45,45,4, 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, 10,13,13,32,32,2602,0,1,1,0,0,0,0,3,1,0,0,0,0,5,1,0,0,0,0,7,1,0, 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, 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498,5,111,0,0,498,499,5,115,0,0,499,500,5,104,0,0,500,24,1,0,0,0, 501,502,5,97,0,0,502,503,5,116,0,0,503,504,5,97,0,0,504,505,5,110, 0,0,505,506,5,104,0,0,506,26,1,0,0,0,507,508,5,97,0,0,508,509,5, 98,0,0,509,510,5,115,0,0,510,28,1,0,0,0,511,512,5,115,0,0,512,513, 5,113,0,0,513,514,5,114,0,0,514,515,5,116,0,0,515,30,1,0,0,0,516, 517,5,108,0,0,517,518,5,110,0,0,518,32,1,0,0,0,519,520,5,108,0,0, 520,521,5,111,0,0,521,522,5,103,0,0,522,34,1,0,0,0,523,524,5,101, 0,0,524,525,5,120,0,0,525,526,5,112,0,0,526,36,1,0,0,0,527,528,5, 115,0,0,528,529,5,109,0,0,529,530,5,105,0,0,530,531,5,110,0,0,531, 38,1,0,0,0,532,533,5,115,0,0,533,534,5,109,0,0,534,535,5,97,0,0, 535,536,5,120,0,0,536,40,1,0,0,0,537,538,5,116,0,0,538,539,5,109, 0,0,539,540,5,105,0,0,540,541,5,110,0,0,541,42,1,0,0,0,542,543,5, 116,0,0,543,544,5,109,0,0,544,545,5,97,0,0,545,546,5,120,0,0,546, 44,1,0,0,0,547,548,5,116,0,0,548,549,5,110,0,0,549,550,5,111,0,0, 550,551,5,114,0,0,551,552,5,109,0,0,552,46,1,0,0,0,553,554,5,115, 0,0,554,555,5,110,0,0,555,556,5,111,0,0,556,557,5,114,0,0,557,558, 5,109,0,0,558,48,1,0,0,0,559,560,5,102,0,0,560,561,5,108,0,0,561, 562,5,111,0,0,562,563,5,111,0,0,563,564,5,114,0,0,564,50,1,0,0,0, 565,566,5,99,0,0,566,567,5,101,0,0,567,568,5,105,0,0,568,569,5,108, 0,0,569,52,1,0,0,0,570,571,5,114,0,0,571,572,5,111,0,0,572,573,5, 117,0,0,573,574,5,110,0,0,574,575,5,100,0,0,575,54,1,0,0,0,576,577, 5,103,0,0,577,578,5,97,0,0,578,579,5,109,0,0,579,580,5,109,0,0,580, 581,5,97,0,0,581,56,1,0,0,0,582,583,5,112,0,0,583,584,5,111,0,0, 584,585,5,119,0,0,585,58,1,0,0,0,586,587,5,115,0,0,587,588,5,105, 0,0,588,589,5,103,0,0,589,590,5,109,0,0,590,60,1,0,0,0,591,592,5, 99,0,0,592,593,5,108,0,0,593,594,5,97,0,0,594,595,5,109,0,0,595, 596,5,112,0,0,596,62,1,0,0,0,597,598,5,102,0,0,598,599,5,102,0,0, 599,600,5,116,0,0,600,64,1,0,0,0,601,602,5,105,0,0,602,603,5,102, 0,0,603,604,5,102,0,0,604,605,5,116,0,0,605,66,1,0,0,0,606,607,5, 97,0,0,607,608,5,110,0,0,608,609,5,103,0,0,609,610,5,108,0,0,610, 611,5,101,0,0,611,68,1,0,0,0,612,613,5,112,0,0,613,614,5,114,0,0, 614,615,5,105,0,0,615,616,5,110,0,0,616,617,5,116,0,0,617,70,1,0, 0,0,618,619,5,112,0,0,619,620,5,114,0,0,620,621,5,105,0,0,621,622, 5,110,0,0,622,623,5,116,0,0,623,624,5,95,0,0,624,625,5,115,0,0,625, 626,5,104,0,0,626,627,5,97,0,0,627,628,5,112,0,0,628,634,5,101,0, 0,629,630,5,112,0,0,630,631,5,115,0,0,631,632,5,104,0,0,632,634, 5,112,0,0,633,618,1,0,0,0,633,629,1,0,0,0,634,72,1,0,0,0,635,636, 5,110,0,0,636,637,5,118,0,0,637,649,5,108,0,0,638,639,5,110,0,0, 639,640,5,97,0,0,640,641,5,110,0,0,641,642,5,95,0,0,642,643,5,116, 0,0,643,644,5,111,0,0,644,645,5,95,0,0,645,646,5,110,0,0,646,647, 5,117,0,0,647,649,5,109,0,0,648,635,1,0,0,0,648,638,1,0,0,0,649, 74,1,0,0,0,650,651,5,108,0,0,651,652,5,101,0,0,652,653,5,114,0,0, 653,654,5,112,0,0,654,76,1,0,0,0,655,656,5,115,0,0,656,657,5,116, 0,0,657,658,5,101,0,0,658,659,5,112,0,0,659,78,1,0,0,0,660,661,5, 115,0,0,661,662,5,109,0,0,662,663,5,111,0,0,663,664,5,111,0,0,664, 665,5,116,0,0,665,666,5,104,0,0,666,667,5,115,0,0,667,668,5,116, 0,0,668,669,5,101,0,0,669,670,5,112,0,0,670,80,1,0,0,0,671,672,5, 102,0,0,672,673,5,114,0,0,673,674,5,97,0,0,674,675,5,99,0,0,675, 676,5,116,0,0,676,82,1,0,0,0,677,678,5,114,0,0,678,679,5,101,0,0, 679,680,5,108,0,0,680,681,5,117,0,0,681,84,1,0,0,0,682,683,5,115, 0,0,683,684,5,111,0,0,684,685,5,102,0,0,685,686,5,116,0,0,686,687, 5,112,0,0,687,688,5,108,0,0,688,689,5,117,0,0,689,690,5,115,0,0, 690,86,1,0,0,0,691,692,5,103,0,0,692,693,5,101,0,0,693,694,5,108, 0,0,694,695,5,117,0,0,695,88,1,0,0,0,696,697,5,115,0,0,697,698,5, 105,0,0,698,699,5,103,0,0,699,700,5,110,0,0,700,90,1,0,0,0,701,702, 5,109,0,0,702,703,5,97,0,0,703,704,5,112,0,0,704,92,1,0,0,0,705, 706,5,101,0,0,706,707,5,122,0,0,707,708,5,99,0,0,708,709,5,111,0, 0,709,710,5,110,0,0,710,711,5,118,0,0,711,712,5,111,0,0,712,713, 5,108,0,0,713,714,5,117,0,0,714,715,5,116,0,0,715,716,5,105,0,0, 716,717,5,111,0,0,717,725,5,110,0,0,718,719,5,101,0,0,719,720,5, 122,0,0,720,721,5,99,0,0,721,722,5,111,0,0,722,723,5,110,0,0,723, 725,5,118,0,0,724,705,1,0,0,0,724,718,1,0,0,0,725,94,1,0,0,0,726, 727,5,99,0,0,727,728,5,111,0,0,728,729,5,110,0,0,729,730,5,118,0, 0,730,731,5,111,0,0,731,732,5,108,0,0,732,733,5,117,0,0,733,734, 5,116,0,0,734,735,5,105,0,0,735,736,5,111,0,0,736,742,5,110,0,0, 737,738,5,99,0,0,738,739,5,111,0,0,739,740,5,110,0,0,740,742,5,118, 0,0,741,726,1,0,0,0,741,737,1,0,0,0,742,96,1,0,0,0,743,744,5,115, 0,0,744,745,5,119,0,0,745,746,5,97,0,0,746,747,5,112,0,0,747,98, 1,0,0,0,748,749,5,112,0,0,749,750,5,101,0,0,750,751,5,114,0,0,751, 752,5,109,0,0,752,753,5,117,0,0,753,754,5,116,0,0,754,760,5,101, 0,0,755,756,5,112,0,0,756,757,5,101,0,0,757,758,5,114,0,0,758,760, 5,109,0,0,759,748,1,0,0,0,759,755,1,0,0,0,760,100,1,0,0,0,761,762, 5,114,0,0,762,763,5,101,0,0,763,764,5,115,0,0,764,765,5,104,0,0, 765,766,5,97,0,0,766,767,5,112,0,0,767,773,5,101,0,0,768,769,5,114, 0,0,769,770,5,115,0,0,770,771,5,104,0,0,771,773,5,112,0,0,772,761, 1,0,0,0,772,768,1,0,0,0,773,102,1,0,0,0,774,775,5,114,0,0,775,776, 5,97,0,0,776,777,5,110,0,0,777,778,5,103,0,0,778,779,5,101,0,0,779, 104,1,0,0,0,780,781,5,108,0,0,781,782,5,105,0,0,782,783,5,110,0, 0,783,784,5,115,0,0,784,785,5,112,0,0,785,786,5,97,0,0,786,787,5, 99,0,0,787,788,5,101,0,0,788,106,1,0,0,0,789,790,5,108,0,0,790,791, 5,111,0,0,791,792,5,103,0,0,792,793,5,115,0,0,793,794,5,112,0,0, 794,795,5,97,0,0,795,796,5,99,0,0,796,797,5,101,0,0,797,108,1,0, 0,0,798,799,5,116,0,0,799,800,5,111,0,0,800,801,5,112,0,0,801,802, 5,107,0,0,802,110,1,0,0,0,803,804,5,98,0,0,804,805,5,111,0,0,805, 806,5,116,0,0,806,807,5,107,0,0,807,112,1,0,0,0,808,809,5,112,0, 0,809,810,5,105,0,0,810,811,5,110,0,0,811,812,5,118,0,0,812,114, 1,0,0,0,813,814,5,115,0,0,814,815,5,117,0,0,815,816,5,109,0,0,816, 116,1,0,0,0,817,818,5,109,0,0,818,819,5,101,0,0,819,820,5,97,0,0, 820,821,5,110,0,0,821,118,1,0,0,0,822,823,5,115,0,0,823,824,5,116, 0,0,824,825,5,100,0,0,825,120,1,0,0,0,826,827,5,118,0,0,827,828, 5,97,0,0,828,829,5,114,0,0,829,122,1,0,0,0,830,831,5,113,0,0,831, 832,5,117,0,0,832,833,5,97,0,0,833,834,5,114,0,0,834,835,5,116,0, 0,835,836,5,105,0,0,836,837,5,108,0,0,837,846,5,101,0,0,838,839, 5,113,0,0,839,840,5,117,0,0,840,841,5,97,0,0,841,842,5,114,0,0,842, 843,5,116,0,0,843,844,5,105,0,0,844,846,5,108,0,0,845,830,1,0,0, 0,845,838,1,0,0,0,846,124,1,0,0,0,847,848,5,112,0,0,848,849,5,101, 0,0,849,850,5,114,0,0,850,851,5,99,0,0,851,852,5,101,0,0,852,853, 5,110,0,0,853,854,5,116,0,0,854,855,5,105,0,0,855,856,5,108,0,0, 856,863,5,101,0,0,857,858,5,112,0,0,858,859,5,114,0,0,859,860,5, 99,0,0,860,861,5,110,0,0,861,863,5,116,0,0,862,847,1,0,0,0,862,857, 1,0,0,0,863,126,1,0,0,0,864,865,5,113,0,0,865,866,5,117,0,0,866, 867,5,97,0,0,867,868,5,110,0,0,868,869,5,116,0,0,869,870,5,105,0, 0,870,871,5,108,0,0,871,872,5,101,0,0,872,128,1,0,0,0,873,874,5, 100,0,0,874,875,5,111,0,0,875,876,5,116,0,0,876,130,1,0,0,0,877, 878,5,109,0,0,878,879,5,111,0,0,879,880,5,109,0,0,880,881,5,101, 0,0,881,882,5,110,0,0,882,883,5,116,0,0,883,132,1,0,0,0,884,885, 5,101,0,0,885,886,5,114,0,0,886,887,5,102,0,0,887,134,1,0,0,0,888, 889,5,101,0,0,889,890,5,114,0,0,890,891,5,102,0,0,891,892,5,105, 0,0,892,893,5,110,0,0,893,894,5,118,0,0,894,136,1,0,0,0,895,896, 5,97,0,0,896,897,5,110,0,0,897,898,5,121,0,0,898,138,1,0,0,0,899, 900,5,97,0,0,900,901,5,108,0,0,901,902,5,108,0,0,902,140,1,0,0,0, 903,904,5,101,0,0,904,905,5,100,0,0,905,906,5,103,0,0,906,907,5, 101,0,0,907,142,1,0,0,0,908,909,5,98,0,0,909,910,5,108,0,0,910,911, 5,117,0,0,911,921,5,114,0,0,912,913,5,103,0,0,913,914,5,97,0,0,914, 915,5,117,0,0,915,916,5,115,0,0,916,917,5,115,0,0,917,918,5,105, 0,0,918,919,5,97,0,0,919,921,5,110,0,0,920,908,1,0,0,0,920,912,1, 0,0,0,921,144,1,0,0,0,922,923,5,109,0,0,923,924,5,101,0,0,924,925, 5,100,0,0,925,926,5,105,0,0,926,927,5,97,0,0,927,928,5,110,0,0,928, 146,1,0,0,0,929,930,5,109,0,0,930,931,5,111,0,0,931,932,5,100,0, 0,932,933,5,101,0,0,933,148,1,0,0,0,934,935,5,99,0,0,935,936,5,117, 0,0,936,937,5,109,0,0,937,938,5,115,0,0,938,939,5,117,0,0,939,940, 5,109,0,0,940,150,1,0,0,0,941,942,5,99,0,0,942,943,5,117,0,0,943, 944,5,109,0,0,944,945,5,112,0,0,945,946,5,114,0,0,946,947,5,111, 0,0,947,948,5,100,0,0,948,152,1,0,0,0,949,950,5,116,0,0,950,951, 5,111,0,0,951,952,5,112,0,0,952,953,5,107,0,0,953,954,5,95,0,0,954, 955,5,105,0,0,955,956,5,110,0,0,956,970,5,100,0,0,957,958,5,116, 0,0,958,959,5,111,0,0,959,960,5,112,0,0,960,961,5,107,0,0,961,962, 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, 0,969,949,1,0,0,0,969,957,1,0,0,0,970,154,1,0,0,0,971,972,5,98,0, 0,972,973,5,111,0,0,973,974,5,116,0,0,974,975,5,107,0,0,975,976, 5,95,0,0,976,977,5,105,0,0,977,978,5,110,0,0,978,992,5,100,0,0,979, 980,5,98,0,0,980,981,5,111,0,0,981,982,5,116,0,0,982,983,5,107,0, 0,983,984,5,95,0,0,984,985,5,105,0,0,985,986,5,110,0,0,986,987,5, 100,0,0,987,988,5,105,0,0,988,989,5,99,0,0,989,990,5,101,0,0,990, 992,5,115,0,0,991,971,1,0,0,0,991,979,1,0,0,0,992,156,1,0,0,0,993, 994,5,99,0,0,994,995,5,117,0,0,995,996,5,98,0,0,996,997,5,105,0, 0,997,998,5,99,0,0,998,999,5,95,0,0,999,1000,5,101,0,0,1000,1001, 5,97,0,0,1001,1002,5,115,0,0,1002,1009,5,101,0,0,1003,1004,5,99, 0,0,1004,1005,5,117,0,0,1005,1006,5,98,0,0,1006,1007,5,105,0,0,1007, 1009,5,99,0,0,1008,993,1,0,0,0,1008,1003,1,0,0,0,1009,158,1,0,0, 0,1010,1011,5,101,0,0,1011,1012,5,108,0,0,1012,1013,5,97,0,0,1013, 1014,5,115,0,0,1014,1015,5,116,0,0,1015,1016,5,105,0,0,1016,1017, 5,99,0,0,1017,1018,5,95,0,0,1018,1019,5,101,0,0,1019,1020,5,97,0, 0,1020,1021,5,115,0,0,1021,1030,5,101,0,0,1022,1023,5,101,0,0,1023, 1024,5,108,0,0,1024,1025,5,97,0,0,1025,1026,5,115,0,0,1026,1027, 5,116,0,0,1027,1028,5,105,0,0,1028,1030,5,99,0,0,1029,1010,1,0,0, 0,1029,1022,1,0,0,0,1030,160,1,0,0,0,1031,1032,5,115,0,0,1032,1033, 5,105,0,0,1033,1034,5,110,0,0,1034,1035,5,101,0,0,1035,1036,5,95, 0,0,1036,1037,5,101,0,0,1037,1038,5,97,0,0,1038,1039,5,115,0,0,1039, 1045,5,101,0,0,1040,1041,5,115,0,0,1041,1042,5,105,0,0,1042,1043, 5,110,0,0,1043,1045,5,101,0,0,1044,1031,1,0,0,0,1044,1040,1,0,0, 0,1045,162,1,0,0,0,1046,1047,5,115,0,0,1047,1048,5,109,0,0,1048, 1049,5,111,0,0,1049,1050,5,111,0,0,1050,1051,5,116,0,0,1051,1052, 5,104,0,0,1052,1053,5,101,0,0,1053,1054,5,114,0,0,1054,1055,5,115, 0,0,1055,1056,5,116,0,0,1056,1057,5,101,0,0,1057,1058,5,112,0,0, 1058,164,1,0,0,0,1059,1060,5,100,0,0,1060,1061,5,105,0,0,1061,1062, 5,115,0,0,1062,1072,5,116,0,0,1063,1064,5,100,0,0,1064,1065,5,105, 0,0,1065,1066,5,115,0,0,1066,1067,5,116,0,0,1067,1068,5,97,0,0,1068, 1069,5,110,0,0,1069,1070,5,99,0,0,1070,1072,5,101,0,0,1071,1059, 1,0,0,0,1071,1063,1,0,0,0,1072,166,1,0,0,0,1073,1074,5,114,0,0,1074, 1075,5,101,0,0,1075,1076,5,109,0,0,1076,1077,5,97,0,0,1077,1078, 5,112,0,0,1078,168,1,0,0,0,1079,1080,5,99,0,0,1080,1081,5,111,0, 0,1081,1082,5,115,0,0,1082,1083,5,115,0,0,1083,1084,5,105,0,0,1084, 1103,5,109,0,0,1085,1086,5,99,0,0,1086,1087,5,111,0,0,1087,1088, 5,115,0,0,1088,1089,5,105,0,0,1089,1090,5,110,0,0,1090,1091,5,101, 0,0,1091,1092,5,95,0,0,1092,1093,5,115,0,0,1093,1094,5,105,0,0,1094, 1095,5,109,0,0,1095,1096,5,105,0,0,1096,1097,5,108,0,0,1097,1098, 5,97,0,0,1098,1099,5,114,0,0,1099,1100,5,105,0,0,1100,1101,5,116, 0,0,1101,1103,5,121,0,0,1102,1079,1,0,0,0,1102,1085,1,0,0,0,1103, 170,1,0,0,0,1104,1105,5,99,0,0,1105,1106,5,111,0,0,1106,1107,5,117, 0,0,1107,1108,5,110,0,0,1108,1119,5,116,0,0,1109,1110,5,99,0,0,1110, 1111,5,110,0,0,1111,1119,5,116,0,0,1112,1113,5,108,0,0,1113,1114, 5,101,0,0,1114,1115,5,110,0,0,1115,1116,5,103,0,0,1116,1117,5,116, 0,0,1117,1119,5,104,0,0,1118,1104,1,0,0,0,1118,1109,1,0,0,0,1118, 1112,1,0,0,0,1119,172,1,0,0,0,1120,1121,5,102,0,0,1121,1122,5,108, 0,0,1122,1123,5,97,0,0,1123,1124,5,116,0,0,1124,1125,5,116,0,0,1125, 1126,5,101,0,0,1126,1127,5,110,0,0,1127,174,1,0,0,0,1128,1129,5, 97,0,0,1129,1130,5,112,0,0,1130,1131,5,112,0,0,1131,1132,5,101,0, 0,1132,1133,5,110,0,0,1133,1134,5,100,0,0,1134,176,1,0,0,0,1135, 1136,5,103,0,0,1136,1137,5,101,0,0,1137,1138,5,116,0,0,1138,1139, 5,95,0,0,1139,1140,5,118,0,0,1140,1141,5,97,0,0,1141,1142,5,108, 0,0,1142,1143,5,117,0,0,1143,1144,5,101,0,0,1144,178,1,0,0,0,1145, 1146,5,102,0,0,1146,1147,5,108,0,0,1147,1148,5,111,0,0,1148,1149, 5,119,0,0,1149,1150,5,95,0,0,1150,1151,5,97,0,0,1151,1152,5,112, 0,0,1152,1153,5,112,0,0,1153,1154,5,108,0,0,1154,1155,5,121,0,0, 1155,180,1,0,0,0,1156,1157,5,98,0,0,1157,1158,5,97,0,0,1158,1159, 5,116,0,0,1159,1160,5,99,0,0,1160,1161,5,104,0,0,1161,1162,5,95, 0,0,1162,1163,5,115,0,0,1163,1164,5,104,0,0,1164,1165,5,117,0,0, 1165,1166,5,102,0,0,1166,1167,5,102,0,0,1167,1168,5,108,0,0,1168, 1183,5,101,0,0,1169,1170,5,115,0,0,1170,1171,5,104,0,0,1171,1172, 5,117,0,0,1172,1173,5,102,0,0,1173,1174,5,102,0,0,1174,1175,5,108, 0,0,1175,1183,5,101,0,0,1176,1177,5,115,0,0,1177,1178,5,101,0,0, 1178,1179,5,108,0,0,1179,1180,5,101,0,0,1180,1181,5,99,0,0,1181, 1183,5,116,0,0,1182,1156,1,0,0,0,1182,1169,1,0,0,0,1182,1176,1,0, 0,0,1183,182,1,0,0,0,1184,1185,5,109,0,0,1185,1186,5,111,0,0,1186, 1187,5,116,0,0,1187,1188,5,105,0,0,1188,1189,5,111,0,0,1189,1190, 5,110,0,0,1190,1191,5,95,0,0,1191,1192,5,109,0,0,1192,1193,5,97, 0,0,1193,1194,5,115,0,0,1194,1195,5,107,0,0,1195,184,1,0,0,0,1196, 1197,5,102,0,0,1197,1198,5,108,0,0,1198,1199,5,111,0,0,1199,1200, 5,119,0,0,1200,1201,5,95,0,0,1201,1202,5,116,0,0,1202,1203,5,111, 0,0,1203,1204,5,95,0,0,1204,1205,5,105,0,0,1205,1206,5,109,0,0,1206, 1207,5,97,0,0,1207,1208,5,103,0,0,1208,1209,5,101,0,0,1209,186,1, 0,0,0,1210,1211,5,102,0,0,1211,1212,5,108,0,0,1212,1213,5,111,0, 0,1213,1214,5,119,0,0,1214,1215,5,95,0,0,1215,1216,5,109,0,0,1216, 1217,5,97,0,0,1217,1233,5,103,0,0,1218,1219,5,102,0,0,1219,1220, 5,108,0,0,1220,1221,5,111,0,0,1221,1222,5,119,0,0,1222,1223,5,95, 0,0,1223,1224,5,109,0,0,1224,1225,5,97,0,0,1225,1226,5,103,0,0,1226, 1227,5,110,0,0,1227,1228,5,105,0,0,1228,1229,5,116,0,0,1229,1230, 5,117,0,0,1230,1231,5,100,0,0,1231,1233,5,101,0,0,1232,1210,1,0, 0,0,1232,1218,1,0,0,0,1233,188,1,0,0,0,1234,1235,5,102,0,0,1235, 1236,5,108,0,0,1236,1237,5,111,0,0,1237,1238,5,119,0,0,1238,1239, 5,95,0,0,1239,1240,5,97,0,0,1240,1241,5,110,0,0,1241,1253,5,103, 0,0,1242,1243,5,102,0,0,1243,1244,5,108,0,0,1244,1245,5,111,0,0, 1245,1246,5,119,0,0,1246,1247,5,95,0,0,1247,1248,5,97,0,0,1248,1249, 5,110,0,0,1249,1250,5,103,0,0,1250,1251,5,108,0,0,1251,1253,5,101, 0,0,1252,1234,1,0,0,0,1252,1242,1,0,0,0,1253,190,1,0,0,0,1254,1255, 5,119,0,0,1255,1256,5,104,0,0,1256,1257,5,101,0,0,1257,1258,5,114, 0,0,1258,1259,5,101,0,0,1259,192,1,0,0,0,1260,1261,5,104,0,0,1261, 1262,5,105,0,0,1262,1263,5,115,0,0,1263,1264,5,116,0,0,1264,1265, 5,111,0,0,1265,1266,5,103,0,0,1266,1267,5,114,0,0,1267,1268,5,97, 0,0,1268,1274,5,109,0,0,1269,1270,5,104,0,0,1270,1271,5,105,0,0, 1271,1272,5,115,0,0,1272,1274,5,116,0,0,1273,1260,1,0,0,0,1273,1269, 1,0,0,0,1274,194,1,0,0,0,1275,1276,5,111,0,0,1276,1277,5,118,0,0, 1277,1278,5,101,0,0,1278,1279,5,114,0,0,1279,1280,5,108,0,0,1280, 1281,5,97,0,0,1281,1282,5,121,0,0,1282,196,1,0,0,0,1283,1284,5,112, 0,0,1284,1285,5,97,0,0,1285,1286,5,100,0,0,1286,198,1,0,0,0,1287, 1288,5,99,0,0,1288,1289,5,114,0,0,1289,1290,5,111,0,0,1290,1291, 5,115,0,0,1291,1292,5,115,0,0,1292,200,1,0,0,0,1293,1294,5,109,0, 0,1294,1295,5,97,0,0,1295,1296,5,116,0,0,1296,1297,5,109,0,0,1297, 1298,5,117,0,0,1298,1299,5,108,0,0,1299,202,1,0,0,0,1300,1301,5, 114,0,0,1301,1302,5,105,0,0,1302,1303,5,102,0,0,1303,1304,5,101, 0,0,1304,204,1,0,0,0,1305,1306,5,98,0,0,1306,1307,5,110,0,0,1307, 1308,5,111,0,0,1308,1321,5,116,0,0,1309,1310,5,98,0,0,1310,1311, 5,105,0,0,1311,1312,5,116,0,0,1312,1313,5,119,0,0,1313,1314,5,105, 0,0,1314,1315,5,115,0,0,1315,1316,5,101,0,0,1316,1317,5,95,0,0,1317, 1318,5,110,0,0,1318,1319,5,111,0,0,1319,1321,5,116,0,0,1320,1305, 1,0,0,0,1320,1309,1,0,0,0,1321,206,1,0,0,0,1322,1323,5,98,0,0,1323, 1324,5,105,0,0,1324,1325,5,116,0,0,1325,1326,5,99,0,0,1326,1327, 5,111,0,0,1327,1328,5,117,0,0,1328,1329,5,110,0,0,1329,1345,5,116, 0,0,1330,1331,5,112,0,0,1331,1332,5,111,0,0,1332,1333,5,112,0,0, 1333,1334,5,99,0,0,1334,1335,5,111,0,0,1335,1336,5,117,0,0,1336, 1337,5,110,0,0,1337,1345,5,116,0,0,1338,1339,5,112,0,0,1339,1340, 5,111,0,0,1340,1341,5,112,0,0,1341,1342,5,99,0,0,1342,1343,5,110, 0,0,1343,1345,5,116,0,0,1344,1322,1,0,0,0,1344,1330,1,0,0,0,1344, 1338,1,0,0,0,1345,208,1,0,0,0,1346,1347,5,115,0,0,1347,1348,5,104, 0,0,1348,1349,5,97,0,0,1349,1350,5,112,0,0,1350,1351,5,101,0,0,1351, 210,1,0,0,0,1352,1353,5,98,0,0,1353,1354,5,97,0,0,1354,1355,5,110, 0,0,1355,1368,5,100,0,0,1356,1357,5,98,0,0,1357,1358,5,105,0,0,1358, 1359,5,116,0,0,1359,1360,5,119,0,0,1360,1361,5,105,0,0,1361,1362, 5,115,0,0,1362,1363,5,101,0,0,1363,1364,5,95,0,0,1364,1365,5,97, 0,0,1365,1366,5,110,0,0,1366,1368,5,100,0,0,1367,1352,1,0,0,0,1367, 1356,1,0,0,0,1368,212,1,0,0,0,1369,1370,5,98,0,0,1370,1371,5,120, 0,0,1371,1372,5,111,0,0,1372,1385,5,114,0,0,1373,1374,5,98,0,0,1374, 1375,5,105,0,0,1375,1376,5,116,0,0,1376,1377,5,119,0,0,1377,1378, 5,105,0,0,1378,1379,5,115,0,0,1379,1380,5,101,0,0,1380,1381,5,95, 0,0,1381,1382,5,120,0,0,1382,1383,5,111,0,0,1383,1385,5,114,0,0, 1384,1369,1,0,0,0,1384,1373,1,0,0,0,1385,214,1,0,0,0,1386,1387,5, 98,0,0,1387,1388,5,111,0,0,1388,1400,5,114,0,0,1389,1390,5,98,0, 0,1390,1391,5,105,0,0,1391,1392,5,116,0,0,1392,1393,5,119,0,0,1393, 1394,5,105,0,0,1394,1395,5,115,0,0,1395,1396,5,101,0,0,1396,1397, 5,95,0,0,1397,1398,5,111,0,0,1398,1400,5,114,0,0,1399,1386,1,0,0, 0,1399,1389,1,0,0,0,1400,216,1,0,0,0,1401,1402,5,116,0,0,1402,1403, 5,101,0,0,1403,1404,5,110,0,0,1404,1405,5,115,0,0,1405,1406,5,111, 0,0,1406,1407,5,114,0,0,1407,218,1,0,0,0,1408,1409,5,115,0,0,1409, 1410,5,116,0,0,1410,1411,5,97,0,0,1411,1412,5,99,0,0,1412,1413,5, 107,0,0,1413,1414,5,95,0,0,1414,1415,5,112,0,0,1415,1416,5,117,0, 0,1416,1417,5,115,0,0,1417,1418,5,104,0,0,1418,220,1,0,0,0,1419, 1420,5,115,0,0,1420,1421,5,116,0,0,1421,1422,5,97,0,0,1422,1423, 5,99,0,0,1423,1424,5,107,0,0,1424,1425,5,95,0,0,1425,1426,5,112, 0,0,1426,1427,5,111,0,0,1427,1428,5,112,0,0,1428,222,1,0,0,0,1429, 1430,5,115,0,0,1430,1431,5,116,0,0,1431,1432,5,97,0,0,1432,1433, 5,99,0,0,1433,1434,5,107,0,0,1434,1435,5,95,0,0,1435,1436,5,99,0, 0,1436,1437,5,108,0,0,1437,1438,5,101,0,0,1438,1439,5,97,0,0,1439, 1440,5,114,0,0,1440,224,1,0,0,0,1441,1442,5,115,0,0,1442,1443,5, 116,0,0,1443,1444,5,97,0,0,1444,1445,5,99,0,0,1445,1446,5,107,0, 0,1446,1447,5,95,0,0,1447,1448,5,104,0,0,1448,1449,5,97,0,0,1449, 1450,5,115,0,0,1450,226,1,0,0,0,1451,1452,5,115,0,0,1452,1453,5, 116,0,0,1453,1454,5,97,0,0,1454,1455,5,99,0,0,1455,1456,5,107,0, 0,1456,1457,5,95,0,0,1457,1458,5,103,0,0,1458,1459,5,101,0,0,1459, 1460,5,116,0,0,1460,228,1,0,0,0,1461,1462,5,99,0,0,1462,1463,5,97, 0,0,1463,1482,5,116,0,0,1464,1465,5,99,0,0,1465,1466,5,111,0,0,1466, 1467,5,110,0,0,1467,1468,5,99,0,0,1468,1469,5,97,0,0,1469,1482,5, 116,0,0,1470,1471,5,99,0,0,1471,1472,5,111,0,0,1472,1473,5,110,0, 0,1473,1474,5,99,0,0,1474,1475,5,97,0,0,1475,1476,5,116,0,0,1476, 1477,5,101,0,0,1477,1478,5,110,0,0,1478,1479,5,97,0,0,1479,1480, 5,116,0,0,1480,1482,5,101,0,0,1481,1461,1,0,0,0,1481,1464,1,0,0, 0,1481,1470,1,0,0,0,1482,230,1,0,0,0,1483,1484,5,105,0,0,1484,1485, 5,110,0,0,1485,1486,5,116,0,0,1486,232,1,0,0,0,1487,1488,5,102,0, 0,1488,1489,5,108,0,0,1489,1490,5,111,0,0,1490,1491,5,97,0,0,1491, 1492,5,116,0,0,1492,234,1,0,0,0,1493,1494,5,117,0,0,1494,1495,5, 112,0,0,1495,1496,5,112,0,0,1496,1497,5,101,0,0,1497,1498,5,114, 0,0,1498,236,1,0,0,0,1499,1500,5,108,0,0,1500,1501,5,111,0,0,1501, 1502,5,119,0,0,1502,1503,5,101,0,0,1503,1504,5,114,0,0,1504,238, 1,0,0,0,1505,1506,5,116,0,0,1506,1507,5,114,0,0,1507,1508,5,105, 0,0,1508,1509,5,109,0,0,1509,240,1,0,0,0,1510,1511,5,115,0,0,1511, 1512,5,112,0,0,1512,1513,5,108,0,0,1513,1514,5,105,0,0,1514,1515, 5,116,0,0,1515,242,1,0,0,0,1516,1517,5,106,0,0,1517,1518,5,111,0, 0,1518,1519,5,105,0,0,1519,1520,5,110,0,0,1520,244,1,0,0,0,1521, 1522,5,115,0,0,1522,1523,5,117,0,0,1523,1524,5,98,0,0,1524,1525, 5,115,0,0,1525,1526,5,116,0,0,1526,1527,5,114,0,0,1527,1528,5,105, 0,0,1528,1529,5,110,0,0,1529,1530,5,103,0,0,1530,246,1,0,0,0,1531, 1532,5,115,0,0,1532,1533,5,117,0,0,1533,1534,5,98,0,0,1534,1535, 5,115,0,0,1535,1536,5,116,0,0,1536,1537,5,114,0,0,1537,248,1,0,0, 0,1538,1539,5,102,0,0,1539,1540,5,105,0,0,1540,1541,5,110,0,0,1541, 1542,5,100,0,0,1542,250,1,0,0,0,1543,1544,5,114,0,0,1544,1545,5, 101,0,0,1545,1546,5,112,0,0,1546,1547,5,108,0,0,1547,1548,5,97,0, 0,1548,1549,5,99,0,0,1549,1550,5,101,0,0,1550,252,1,0,0,0,1551,1552, 5,100,0,0,1552,1553,5,105,0,0,1553,1554,5,108,0,0,1554,1555,5,97, 0,0,1555,1556,5,116,0,0,1556,1557,5,101,0,0,1557,254,1,0,0,0,1558, 1559,5,101,0,0,1559,1560,5,114,0,0,1560,1561,5,111,0,0,1561,1562, 5,100,0,0,1562,1563,5,101,0,0,1563,256,1,0,0,0,1564,1565,5,109,0, 0,1565,1566,5,111,0,0,1566,1567,5,114,0,0,1567,1568,5,112,0,0,1568, 1569,5,104,0,0,1569,1570,5,95,0,0,1570,1571,5,111,0,0,1571,1572, 5,112,0,0,1572,1573,5,101,0,0,1573,1574,5,110,0,0,1574,258,1,0,0, 0,1575,1576,5,109,0,0,1576,1577,5,111,0,0,1577,1578,5,114,0,0,1578, 1579,5,112,0,0,1579,1580,5,104,0,0,1580,1581,5,95,0,0,1581,1582, 5,99,0,0,1582,1583,5,108,0,0,1583,1584,5,111,0,0,1584,1585,5,115, 0,0,1585,1586,5,101,0,0,1586,260,1,0,0,0,1587,1588,5,114,0,0,1588, 1589,5,103,0,0,1589,1590,5,98,0,0,1590,1591,5,95,0,0,1591,1592,5, 116,0,0,1592,1593,5,111,0,0,1593,1594,5,95,0,0,1594,1595,5,111,0, 0,1595,1596,5,107,0,0,1596,1597,5,108,0,0,1597,1598,5,97,0,0,1598, 1599,5,98,0,0,1599,262,1,0,0,0,1600,1601,5,114,0,0,1601,1602,5,103, 0,0,1602,1603,5,98,0,0,1603,1604,5,95,0,0,1604,1605,5,116,0,0,1605, 1606,5,111,0,0,1606,1607,5,95,0,0,1607,1608,5,99,0,0,1608,1609,5, 105,0,0,1609,1610,5,108,0,0,1610,1611,5,97,0,0,1611,1612,5,98,0, 0,1612,264,1,0,0,0,1613,1614,5,111,0,0,1614,1615,5,107,0,0,1615, 1616,5,108,0,0,1616,1617,5,97,0,0,1617,1618,5,98,0,0,1618,1619,5, 95,0,0,1619,1620,5,116,0,0,1620,1621,5,111,0,0,1621,1622,5,95,0, 0,1622,1623,5,114,0,0,1623,1624,5,103,0,0,1624,1625,5,98,0,0,1625, 266,1,0,0,0,1626,1627,5,99,0,0,1627,1628,5,105,0,0,1628,1629,5,101, 0,0,1629,1630,5,108,0,0,1630,1631,5,97,0,0,1631,1632,5,98,0,0,1632, 1633,5,95,0,0,1633,1634,5,116,0,0,1634,1635,5,111,0,0,1635,1636, 5,95,0,0,1636,1637,5,114,0,0,1637,1638,5,103,0,0,1638,1639,5,98, 0,0,1639,268,1,0,0,0,1640,1641,5,114,0,0,1641,1642,5,103,0,0,1642, 1643,5,98,0,0,1643,1644,5,95,0,0,1644,1645,5,116,0,0,1645,1646,5, 111,0,0,1646,1647,5,95,0,0,1647,1648,5,104,0,0,1648,1649,5,115,0, 0,1649,1650,5,118,0,0,1650,270,1,0,0,0,1651,1652,5,104,0,0,1652, 1653,5,115,0,0,1653,1654,5,118,0,0,1654,1655,5,95,0,0,1655,1656, 5,116,0,0,1656,1657,5,111,0,0,1657,1658,5,95,0,0,1658,1659,5,114, 0,0,1659,1660,5,103,0,0,1660,1661,5,98,0,0,1661,272,1,0,0,0,1662, 1663,5,105,0,0,1663,1664,5,110,0,0,1664,1665,5,116,0,0,1665,1666, 5,95,0,0,1666,1667,5,116,0,0,1667,1668,5,111,0,0,1668,1669,5,95, 0,0,1669,1670,5,114,0,0,1670,1671,5,103,0,0,1671,1672,5,98,0,0,1672, 274,1,0,0,0,1673,1674,5,114,0,0,1674,1675,5,103,0,0,1675,1676,5, 98,0,0,1676,1677,5,95,0,0,1677,1678,5,116,0,0,1678,1679,5,111,0, 0,1679,1680,5,95,0,0,1680,1681,5,105,0,0,1681,1682,5,110,0,0,1682, 1683,5,116,0,0,1683,276,1,0,0,0,1684,1685,5,105,0,0,1685,1686,5, 110,0,0,1686,1687,5,116,0,0,1687,1688,5,101,0,0,1688,1689,5,114, 0,0,1689,1690,5,112,0,0,1690,1691,5,111,0,0,1691,1692,5,108,0,0, 1692,1693,5,97,0,0,1693,1694,5,116,0,0,1694,1695,5,101,0,0,1695, 1696,5,95,0,0,1696,1697,5,108,0,0,1697,1698,5,105,0,0,1698,1699, 5,110,0,0,1699,1700,5,101,0,0,1700,1701,5,97,0,0,1701,1702,5,114, 0,0,1702,278,1,0,0,0,1703,1704,5,105,0,0,1704,1705,5,110,0,0,1705, 1706,5,116,0,0,1706,1707,5,101,0,0,1707,1708,5,114,0,0,1708,1709, 5,112,0,0,1709,1710,5,111,0,0,1710,1711,5,108,0,0,1711,1712,5,97, 0,0,1712,1713,5,116,0,0,1713,1714,5,101,0,0,1714,1715,5,95,0,0,1715, 1716,5,97,0,0,1716,1717,5,114,0,0,1717,1718,5,101,0,0,1718,1719, 5,97,0,0,1719,280,1,0,0,0,1720,1721,5,105,0,0,1721,1722,5,110,0, 0,1722,1723,5,116,0,0,1723,1724,5,101,0,0,1724,1725,5,114,0,0,1725, 1726,5,112,0,0,1726,1727,5,111,0,0,1727,1728,5,108,0,0,1728,1729, 5,97,0,0,1729,1730,5,116,0,0,1730,1731,5,101,0,0,1731,1732,5,95, 0,0,1732,1733,5,110,0,0,1733,1734,5,101,0,0,1734,1735,5,97,0,0,1735, 1736,5,114,0,0,1736,1737,5,101,0,0,1737,1738,5,115,0,0,1738,1765, 5,116,0,0,1739,1740,5,105,0,0,1740,1741,5,110,0,0,1741,1742,5,116, 0,0,1742,1743,5,101,0,0,1743,1744,5,114,0,0,1744,1745,5,112,0,0, 1745,1746,5,111,0,0,1746,1747,5,108,0,0,1747,1748,5,97,0,0,1748, 1749,5,116,0,0,1749,1750,5,101,0,0,1750,1751,5,95,0,0,1751,1752, 5,110,0,0,1752,1753,5,101,0,0,1753,1754,5,97,0,0,1754,1755,5,114, 0,0,1755,1756,5,101,0,0,1756,1757,5,115,0,0,1757,1758,5,116,0,0, 1758,1759,5,95,0,0,1759,1760,5,101,0,0,1760,1761,5,120,0,0,1761, 1762,5,97,0,0,1762,1763,5,99,0,0,1763,1765,5,116,0,0,1764,1720,1, 0,0,0,1764,1739,1,0,0,0,1765,282,1,0,0,0,1766,1767,5,105,0,0,1767, 1768,5,102,0,0,1768,284,1,0,0,0,1769,1770,5,101,0,0,1770,1771,5, 108,0,0,1771,1772,5,115,0,0,1772,1773,5,101,0,0,1773,286,1,0,0,0, 1774,1775,5,119,0,0,1775,1776,5,104,0,0,1776,1777,5,105,0,0,1777, 1778,5,108,0,0,1778,1779,5,101,0,0,1779,288,1,0,0,0,1780,1781,5, 102,0,0,1781,1782,5,111,0,0,1782,1783,5,114,0,0,1783,290,1,0,0,0, 1784,1785,5,105,0,0,1785,1786,5,110,0,0,1786,292,1,0,0,0,1787,1788, 5,98,0,0,1788,1789,5,114,0,0,1789,1790,5,101,0,0,1790,1791,5,97, 0,0,1791,1792,5,107,0,0,1792,294,1,0,0,0,1793,1794,5,99,0,0,1794, 1795,5,111,0,0,1795,1796,5,110,0,0,1796,1797,5,116,0,0,1797,1798, 5,105,0,0,1798,1799,5,110,0,0,1799,1800,5,117,0,0,1800,1801,5,101, 0,0,1801,296,1,0,0,0,1802,1803,5,114,0,0,1803,1804,5,101,0,0,1804, 1805,5,116,0,0,1805,1806,5,117,0,0,1806,1807,5,114,0,0,1807,1808, 5,110,0,0,1808,298,1,0,0,0,1809,1810,5,116,0,0,1810,1811,5,105,0, 0,1811,1812,5,109,0,0,1812,1813,5,101,0,0,1813,1814,5,115,0,0,1814, 1815,5,116,0,0,1815,1816,5,97,0,0,1816,1817,5,109,0,0,1817,1822, 5,112,0,0,1818,1819,5,110,0,0,1819,1820,5,111,0,0,1820,1822,5,119, 0,0,1821,1809,1,0,0,0,1821,1818,1,0,0,0,1822,300,1,0,0,0,1823,1824, 5,115,0,0,1824,1825,5,111,0,0,1825,1826,5,114,0,0,1826,1827,5,116, 0,0,1827,302,1,0,0,0,1828,1829,5,97,0,0,1829,1830,5,114,0,0,1830, 1831,5,103,0,0,1831,1832,5,115,0,0,1832,1833,5,111,0,0,1833,1834, 5,114,0,0,1834,1835,5,116,0,0,1835,304,1,0,0,0,1836,1837,5,97,0, 0,1837,1838,5,114,0,0,1838,1839,5,103,0,0,1839,1840,5,109,0,0,1840, 1841,5,105,0,0,1841,1842,5,110,0,0,1842,306,1,0,0,0,1843,1844,5, 97,0,0,1844,1845,5,114,0,0,1845,1846,5,103,0,0,1846,1847,5,109,0, 0,1847,1848,5,97,0,0,1848,1849,5,120,0,0,1849,308,1,0,0,0,1850,1851, 5,115,0,0,1851,1852,5,111,0,0,1852,1853,5,102,0,0,1853,1854,5,116, 0,0,1854,1855,5,109,0,0,1855,1856,5,97,0,0,1856,1857,5,120,0,0,1857, 310,1,0,0,0,1858,1859,5,115,0,0,1859,1860,5,111,0,0,1860,1861,5, 102,0,0,1861,1862,5,116,0,0,1862,1863,5,109,0,0,1863,1864,5,105, 0,0,1864,1865,5,110,0,0,1865,312,1,0,0,0,1866,1867,5,117,0,0,1867, 1868,5,110,0,0,1868,1869,5,105,0,0,1869,1870,5,113,0,0,1870,1871, 5,117,0,0,1871,1872,5,101,0,0,1872,314,1,0,0,0,1873,1874,5,102,0, 0,1874,1875,5,108,0,0,1875,1876,5,105,0,0,1876,1877,5,112,0,0,1877, 316,1,0,0,0,1878,1879,5,114,0,0,1879,1880,5,111,0,0,1880,1881,5, 108,0,0,1881,1882,5,108,0,0,1882,318,1,0,0,0,1883,1884,5,99,0,0, 1884,1885,5,111,0,0,1885,1886,5,118,0,0,1886,320,1,0,0,0,1887,1888, 5,99,0,0,1888,1889,5,111,0,0,1889,1890,5,114,0,0,1890,1903,5,114, 0,0,1891,1892,5,99,0,0,1892,1893,5,111,0,0,1893,1894,5,114,0,0,1894, 1895,5,114,0,0,1895,1896,5,101,0,0,1896,1897,5,108,0,0,1897,1898, 5,97,0,0,1898,1899,5,116,0,0,1899,1900,5,105,0,0,1900,1901,5,111, 0,0,1901,1903,5,110,0,0,1902,1887,1,0,0,0,1902,1891,1,0,0,0,1903, 322,1,0,0,0,1904,1905,5,101,0,0,1905,1906,5,110,0,0,1906,1907,5, 116,0,0,1907,1908,5,114,0,0,1908,1909,5,111,0,0,1909,1910,5,112, 0,0,1910,1911,5,121,0,0,1911,324,1,0,0,0,1912,1913,5,99,0,0,1913, 1914,5,114,0,0,1914,1915,5,111,0,0,1915,1916,5,112,0,0,1916,326, 1,0,0,0,1917,1918,5,110,0,0,1918,1919,5,111,0,0,1919,1920,5,110, 0,0,1920,1934,5,101,0,0,1921,1922,5,78,0,0,1922,1923,5,111,0,0,1923, 1924,5,110,0,0,1924,1934,5,101,0,0,1925,1926,5,110,0,0,1926,1927, 5,117,0,0,1927,1928,5,108,0,0,1928,1934,5,108,0,0,1929,1930,5,78, 0,0,1930,1931,5,85,0,0,1931,1932,5,76,0,0,1932,1934,5,76,0,0,1933, 1917,1,0,0,0,1933,1921,1,0,0,0,1933,1925,1,0,0,0,1933,1929,1,0,0, 0,1934,328,1,0,0,0,1935,1936,5,110,0,0,1936,1937,5,111,0,0,1937, 1938,5,105,0,0,1938,1939,5,115,0,0,1939,1959,5,101,0,0,1940,1941, 5,114,0,0,1941,1942,5,97,0,0,1942,1943,5,110,0,0,1943,1944,5,100, 0,0,1944,1959,5,110,0,0,1945,1946,5,114,0,0,1946,1947,5,97,0,0,1947, 1948,5,110,0,0,1948,1949,5,100,0,0,1949,1950,5,111,0,0,1950,1951, 5,109,0,0,1951,1952,5,95,0,0,1952,1953,5,110,0,0,1953,1954,5,111, 0,0,1954,1955,5,114,0,0,1955,1956,5,109,0,0,1956,1957,5,97,0,0,1957, 1959,5,108,0,0,1958,1935,1,0,0,0,1958,1940,1,0,0,0,1958,1945,1,0, 0,0,1959,330,1,0,0,0,1960,1961,5,114,0,0,1961,1962,5,97,0,0,1962, 1963,5,110,0,0,1963,1984,5,100,0,0,1964,1965,5,114,0,0,1965,1966, 5,97,0,0,1966,1967,5,110,0,0,1967,1968,5,100,0,0,1968,1984,5,117, 0,0,1969,1970,5,114,0,0,1970,1971,5,97,0,0,1971,1972,5,110,0,0,1972, 1973,5,100,0,0,1973,1974,5,111,0,0,1974,1975,5,109,0,0,1975,1976, 5,95,0,0,1976,1977,5,117,0,0,1977,1978,5,110,0,0,1978,1979,5,105, 0,0,1979,1980,5,102,0,0,1980,1981,5,111,0,0,1981,1982,5,114,0,0, 1982,1984,5,109,0,0,1983,1960,1,0,0,0,1983,1964,1,0,0,0,1983,1969, 1,0,0,0,1984,332,1,0,0,0,1985,1986,5,114,0,0,1986,1987,5,97,0,0, 1987,1988,5,110,0,0,1988,1989,5,100,0,0,1989,2004,5,99,0,0,1990, 1991,5,114,0,0,1991,1992,5,97,0,0,1992,1993,5,110,0,0,1993,1994, 5,100,0,0,1994,1995,5,111,0,0,1995,1996,5,109,0,0,1996,1997,5,95, 0,0,1997,1998,5,99,0,0,1998,1999,5,97,0,0,1999,2000,5,117,0,0,2000, 2001,5,99,0,0,2001,2002,5,104,0,0,2002,2004,5,121,0,0,2003,1985, 1,0,0,0,2003,1990,1,0,0,0,2004,334,1,0,0,0,2005,2006,5,114,0,0,2006, 2007,5,97,0,0,2007,2008,5,110,0,0,2008,2009,5,100,0,0,2009,2029, 5,101,0,0,2010,2011,5,114,0,0,2011,2012,5,97,0,0,2012,2013,5,110, 0,0,2013,2014,5,100,0,0,2014,2015,5,111,0,0,2015,2016,5,109,0,0, 2016,2017,5,95,0,0,2017,2018,5,101,0,0,2018,2019,5,120,0,0,2019, 2020,5,112,0,0,2020,2021,5,111,0,0,2021,2022,5,110,0,0,2022,2023, 5,101,0,0,2023,2024,5,110,0,0,2024,2025,5,116,0,0,2025,2026,5,105, 0,0,2026,2027,5,97,0,0,2027,2029,5,108,0,0,2028,2005,1,0,0,0,2028, 2010,1,0,0,0,2029,336,1,0,0,0,2030,2031,5,114,0,0,2031,2032,5,97, 0,0,2032,2033,5,110,0,0,2033,2034,5,100,0,0,2034,2035,5,108,0,0, 2035,2054,5,110,0,0,2036,2037,5,114,0,0,2037,2038,5,97,0,0,2038, 2039,5,110,0,0,2039,2040,5,100,0,0,2040,2041,5,111,0,0,2041,2042, 5,109,0,0,2042,2043,5,95,0,0,2043,2044,5,108,0,0,2044,2045,5,111, 0,0,2045,2046,5,103,0,0,2046,2047,5,95,0,0,2047,2048,5,110,0,0,2048, 2049,5,111,0,0,2049,2050,5,114,0,0,2050,2051,5,109,0,0,2051,2052, 5,97,0,0,2052,2054,5,108,0,0,2053,2030,1,0,0,0,2053,2036,1,0,0,0, 2054,338,1,0,0,0,2055,2056,5,114,0,0,2056,2057,5,97,0,0,2057,2058, 5,110,0,0,2058,2059,5,100,0,0,2059,2077,5,98,0,0,2060,2061,5,114, 0,0,2061,2062,5,97,0,0,2062,2063,5,110,0,0,2063,2064,5,100,0,0,2064, 2065,5,111,0,0,2065,2066,5,109,0,0,2066,2067,5,95,0,0,2067,2068, 5,98,0,0,2068,2069,5,101,0,0,2069,2070,5,114,0,0,2070,2071,5,110, 0,0,2071,2072,5,111,0,0,2072,2073,5,117,0,0,2073,2074,5,108,0,0, 2074,2075,5,108,0,0,2075,2077,5,105,0,0,2076,2055,1,0,0,0,2076,2060, 1,0,0,0,2077,340,1,0,0,0,2078,2079,5,114,0,0,2079,2080,5,97,0,0, 2080,2081,5,110,0,0,2081,2082,5,100,0,0,2082,2098,5,112,0,0,2083, 2084,5,114,0,0,2084,2085,5,97,0,0,2085,2086,5,110,0,0,2086,2087, 5,100,0,0,2087,2088,5,111,0,0,2088,2089,5,109,0,0,2089,2090,5,95, 0,0,2090,2091,5,112,0,0,2091,2092,5,111,0,0,2092,2093,5,105,0,0, 2093,2094,5,115,0,0,2094,2095,5,115,0,0,2095,2096,5,111,0,0,2096, 2098,5,110,0,0,2097,2078,1,0,0,0,2097,2083,1,0,0,0,2098,342,1,0, 0,0,2099,2100,5,114,0,0,2100,2101,5,97,0,0,2101,2102,5,110,0,0,2102, 2103,5,100,0,0,2103,2117,5,103,0,0,2104,2105,5,114,0,0,2105,2106, 5,97,0,0,2106,2107,5,110,0,0,2107,2108,5,100,0,0,2108,2109,5,111, 0,0,2109,2110,5,109,0,0,2110,2111,5,95,0,0,2111,2112,5,103,0,0,2112, 2113,5,97,0,0,2113,2114,5,109,0,0,2114,2115,5,109,0,0,2115,2117, 5,97,0,0,2116,2099,1,0,0,0,2116,2104,1,0,0,0,2117,344,1,0,0,0,2118, 2119,5,114,0,0,2119,2120,5,97,0,0,2120,2121,5,110,0,0,2121,2122, 5,100,0,0,2122,2123,5,98,0,0,2123,2124,5,101,0,0,2124,2125,5,116, 0,0,2125,2138,5,97,0,0,2126,2127,5,114,0,0,2127,2128,5,97,0,0,2128, 2129,5,110,0,0,2129,2130,5,100,0,0,2130,2131,5,111,0,0,2131,2132, 5,109,0,0,2132,2133,5,95,0,0,2133,2134,5,98,0,0,2134,2135,5,101, 0,0,2135,2136,5,116,0,0,2136,2138,5,97,0,0,2137,2118,1,0,0,0,2137, 2126,1,0,0,0,2138,346,1,0,0,0,2139,2140,5,114,0,0,2140,2141,5,97, 0,0,2141,2142,5,110,0,0,2142,2143,5,100,0,0,2143,2159,5,108,0,0, 2144,2145,5,114,0,0,2145,2146,5,97,0,0,2146,2147,5,110,0,0,2147, 2148,5,100,0,0,2148,2149,5,111,0,0,2149,2150,5,109,0,0,2150,2151, 5,95,0,0,2151,2152,5,108,0,0,2152,2153,5,97,0,0,2153,2154,5,112, 0,0,2154,2155,5,108,0,0,2155,2156,5,97,0,0,2156,2157,5,99,0,0,2157, 2159,5,101,0,0,2158,2139,1,0,0,0,2158,2144,1,0,0,0,2159,348,1,0, 0,0,2160,2161,5,114,0,0,2161,2162,5,97,0,0,2162,2163,5,110,0,0,2163, 2164,5,100,0,0,2164,2165,5,103,0,0,2165,2166,5,117,0,0,2166,2167, 5,109,0,0,2167,2168,5,98,0,0,2168,2169,5,101,0,0,2169,2184,5,108, 0,0,2170,2171,5,114,0,0,2171,2172,5,97,0,0,2172,2173,5,110,0,0,2173, 2174,5,100,0,0,2174,2175,5,111,0,0,2175,2176,5,109,0,0,2176,2177, 5,95,0,0,2177,2178,5,103,0,0,2178,2179,5,117,0,0,2179,2180,5,109, 0,0,2180,2181,5,98,0,0,2181,2182,5,101,0,0,2182,2184,5,108,0,0,2183, 2160,1,0,0,0,2183,2170,1,0,0,0,2184,350,1,0,0,0,2185,2186,5,114, 0,0,2186,2187,5,97,0,0,2187,2188,5,110,0,0,2188,2189,5,100,0,0,2189, 2205,5,119,0,0,2190,2191,5,114,0,0,2191,2192,5,97,0,0,2192,2193, 5,110,0,0,2193,2194,5,100,0,0,2194,2195,5,111,0,0,2195,2196,5,109, 0,0,2196,2197,5,95,0,0,2197,2198,5,119,0,0,2198,2199,5,101,0,0,2199, 2200,5,105,0,0,2200,2201,5,98,0,0,2201,2202,5,117,0,0,2202,2203, 5,108,0,0,2203,2205,5,108,0,0,2204,2185,1,0,0,0,2204,2190,1,0,0, 0,2205,352,1,0,0,0,2206,2207,5,114,0,0,2207,2208,5,97,0,0,2208,2209, 5,110,0,0,2209,2210,5,100,0,0,2210,2211,5,99,0,0,2211,2212,5,104, 0,0,2212,2213,5,105,0,0,2213,2226,5,50,0,0,2214,2215,5,114,0,0,2215, 2216,5,97,0,0,2216,2217,5,110,0,0,2217,2218,5,100,0,0,2218,2219, 5,111,0,0,2219,2220,5,109,0,0,2220,2221,5,95,0,0,2221,2222,5,99, 0,0,2222,2223,5,104,0,0,2223,2224,5,105,0,0,2224,2226,5,50,0,0,2225, 2206,1,0,0,0,2225,2214,1,0,0,0,2226,354,1,0,0,0,2227,2228,5,114, 0,0,2228,2229,5,97,0,0,2229,2230,5,110,0,0,2230,2231,5,100,0,0,2231, 2248,5,116,0,0,2232,2233,5,114,0,0,2233,2234,5,97,0,0,2234,2235, 5,110,0,0,2235,2236,5,100,0,0,2236,2237,5,111,0,0,2237,2238,5,109, 0,0,2238,2239,5,95,0,0,2239,2240,5,115,0,0,2240,2241,5,116,0,0,2241, 2242,5,117,0,0,2242,2243,5,100,0,0,2243,2244,5,101,0,0,2244,2245, 5,110,0,0,2245,2246,5,116,0,0,2246,2248,5,116,0,0,2247,2227,1,0, 0,0,2247,2232,1,0,0,0,2248,356,1,0,0,0,2249,2250,5,112,0,0,2250, 2251,5,101,0,0,2251,2252,5,114,0,0,2252,2253,5,108,0,0,2253,2254, 5,105,0,0,2254,2268,5,110,0,0,2255,2256,5,112,0,0,2256,2257,5,101, 0,0,2257,2258,5,114,0,0,2258,2259,5,108,0,0,2259,2260,5,105,0,0, 2260,2261,5,110,0,0,2261,2262,5,95,0,0,2262,2263,5,110,0,0,2263, 2264,5,111,0,0,2264,2265,5,105,0,0,2265,2266,5,115,0,0,2266,2268, 5,101,0,0,2267,2249,1,0,0,0,2267,2255,1,0,0,0,2268,358,1,0,0,0,2269, 2270,5,99,0,0,2270,2271,5,101,0,0,2271,2272,5,108,0,0,2272,2273, 5,108,0,0,2273,2274,5,117,0,0,2274,2275,5,108,0,0,2275,2276,5,97, 0,0,2276,2318,5,114,0,0,2277,2278,5,118,0,0,2278,2279,5,111,0,0, 2279,2280,5,114,0,0,2280,2281,5,111,0,0,2281,2282,5,110,0,0,2282, 2283,5,111,0,0,2283,2318,5,105,0,0,2284,2285,5,119,0,0,2285,2286, 5,111,0,0,2286,2287,5,114,0,0,2287,2288,5,108,0,0,2288,2289,5,101, 0,0,2289,2318,5,121,0,0,2290,2291,5,99,0,0,2291,2292,5,101,0,0,2292, 2293,5,108,0,0,2293,2294,5,108,0,0,2294,2295,5,117,0,0,2295,2296, 5,108,0,0,2296,2297,5,97,0,0,2297,2298,5,114,0,0,2298,2299,5,95, 0,0,2299,2300,5,110,0,0,2300,2301,5,111,0,0,2301,2302,5,105,0,0, 2302,2303,5,115,0,0,2303,2318,5,101,0,0,2304,2305,5,118,0,0,2305, 2306,5,111,0,0,2306,2307,5,114,0,0,2307,2308,5,111,0,0,2308,2309, 5,110,0,0,2309,2310,5,111,0,0,2310,2311,5,105,0,0,2311,2312,5,95, 0,0,2312,2313,5,110,0,0,2313,2314,5,111,0,0,2314,2315,5,105,0,0, 2315,2316,5,115,0,0,2316,2318,5,101,0,0,2317,2269,1,0,0,0,2317,2277, 1,0,0,0,2317,2284,1,0,0,0,2317,2290,1,0,0,0,2317,2304,1,0,0,0,2318, 360,1,0,0,0,2319,2320,5,112,0,0,2320,2321,5,108,0,0,2321,2322,5, 97,0,0,2322,2323,5,115,0,0,2323,2324,5,109,0,0,2324,2348,5,97,0, 0,2325,2326,5,116,0,0,2326,2327,5,117,0,0,2327,2328,5,114,0,0,2328, 2329,5,98,0,0,2329,2330,5,117,0,0,2330,2331,5,108,0,0,2331,2332, 5,101,0,0,2332,2333,5,110,0,0,2333,2334,5,99,0,0,2334,2348,5,101, 0,0,2335,2336,5,112,0,0,2336,2337,5,108,0,0,2337,2338,5,97,0,0,2338, 2339,5,115,0,0,2339,2340,5,109,0,0,2340,2341,5,97,0,0,2341,2342, 5,95,0,0,2342,2343,5,110,0,0,2343,2344,5,111,0,0,2344,2345,5,105, 0,0,2345,2346,5,115,0,0,2346,2348,5,101,0,0,2347,2319,1,0,0,0,2347, 2325,1,0,0,0,2347,2335,1,0,0,0,2348,362,1,0,0,0,2349,2350,5,43,0, 0,2350,364,1,0,0,0,2351,2352,5,45,0,0,2352,366,1,0,0,0,2353,2354, 5,42,0,0,2354,368,1,0,0,0,2355,2356,5,47,0,0,2356,370,1,0,0,0,2357, 2358,5,37,0,0,2358,372,1,0,0,0,2359,2360,5,94,0,0,2360,374,1,0,0, 0,2361,2362,5,60,0,0,2362,2363,5,60,0,0,2363,376,1,0,0,0,2364,2365, 5,62,0,0,2365,2366,5,62,0,0,2366,378,1,0,0,0,2367,2368,5,62,0,0, 2368,2369,5,61,0,0,2369,380,1,0,0,0,2370,2371,5,62,0,0,2371,382, 1,0,0,0,2372,2373,5,60,0,0,2373,2374,5,61,0,0,2374,384,1,0,0,0,2375, 2376,5,60,0,0,2376,386,1,0,0,0,2377,2378,5,61,0,0,2378,2379,5,61, 0,0,2379,388,1,0,0,0,2380,2381,5,61,0,0,2381,390,1,0,0,0,2382,2383, 5,43,0,0,2383,2384,5,61,0,0,2384,392,1,0,0,0,2385,2386,5,45,0,0, 2386,2387,5,61,0,0,2387,394,1,0,0,0,2388,2389,5,42,0,0,2389,2390, 5,61,0,0,2390,396,1,0,0,0,2391,2392,5,47,0,0,2392,2393,5,61,0,0, 2393,398,1,0,0,0,2394,2395,5,37,0,0,2395,2396,5,61,0,0,2396,400, 1,0,0,0,2397,2398,5,33,0,0,2398,2399,5,61,0,0,2399,402,1,0,0,0,2400, 2401,5,124,0,0,2401,404,1,0,0,0,2402,2403,5,40,0,0,2403,406,1,0, 0,0,2404,2405,5,41,0,0,2405,408,1,0,0,0,2406,2407,5,44,0,0,2407, 410,1,0,0,0,2408,2409,5,59,0,0,2409,412,1,0,0,0,2410,2411,5,45,0, 0,2411,2412,5,62,0,0,2412,414,1,0,0,0,2413,2414,5,91,0,0,2414,416, 1,0,0,0,2415,2416,5,93,0,0,2416,418,1,0,0,0,2417,2418,5,63,0,0,2418, 420,1,0,0,0,2419,2420,5,58,0,0,2420,422,1,0,0,0,2421,2422,5,123, 0,0,2422,424,1,0,0,0,2423,2424,5,125,0,0,2424,426,1,0,0,0,2425,2427, 7,0,0,0,2426,2425,1,0,0,0,2427,2428,1,0,0,0,2428,2426,1,0,0,0,2428, 2429,1,0,0,0,2429,2437,1,0,0,0,2430,2434,5,46,0,0,2431,2433,7,0, 0,0,2432,2431,1,0,0,0,2433,2436,1,0,0,0,2434,2432,1,0,0,0,2434,2435, 1,0,0,0,2435,2438,1,0,0,0,2436,2434,1,0,0,0,2437,2430,1,0,0,0,2437, 2438,1,0,0,0,2438,2446,1,0,0,0,2439,2441,5,46,0,0,2440,2442,7,0, 0,0,2441,2440,1,0,0,0,2442,2443,1,0,0,0,2443,2441,1,0,0,0,2443,2444, 1,0,0,0,2444,2446,1,0,0,0,2445,2426,1,0,0,0,2445,2439,1,0,0,0,2446, 2456,1,0,0,0,2447,2449,7,1,0,0,2448,2450,7,2,0,0,2449,2448,1,0,0, 0,2449,2450,1,0,0,0,2450,2452,1,0,0,0,2451,2453,7,0,0,0,2452,2451, 1,0,0,0,2453,2454,1,0,0,0,2454,2452,1,0,0,0,2454,2455,1,0,0,0,2455, 2457,1,0,0,0,2456,2447,1,0,0,0,2456,2457,1,0,0,0,2457,428,1,0,0, 0,2458,2459,5,112,0,0,2459,2464,5,105,0,0,2460,2461,5,80,0,0,2461, 2464,5,73,0,0,2462,2464,7,1,0,0,2463,2458,1,0,0,0,2463,2460,1,0, 0,0,2463,2462,1,0,0,0,2464,430,1,0,0,0,2465,2471,5,34,0,0,2466,2470, 8,3,0,0,2467,2468,5,92,0,0,2468,2470,9,0,0,0,2469,2466,1,0,0,0,2469, 2467,1,0,0,0,2470,2473,1,0,0,0,2471,2469,1,0,0,0,2471,2472,1,0,0, 0,2472,2474,1,0,0,0,2473,2471,1,0,0,0,2474,2486,5,34,0,0,2475,2481, 5,39,0,0,2476,2480,8,4,0,0,2477,2478,5,92,0,0,2478,2480,9,0,0,0, 2479,2476,1,0,0,0,2479,2477,1,0,0,0,2480,2483,1,0,0,0,2481,2479, 1,0,0,0,2481,2482,1,0,0,0,2482,2484,1,0,0,0,2483,2481,1,0,0,0,2484, 2486,5,39,0,0,2485,2465,1,0,0,0,2485,2475,1,0,0,0,2486,432,1,0,0, 0,2487,2491,7,5,0,0,2488,2490,7,6,0,0,2489,2488,1,0,0,0,2490,2493, 1,0,0,0,2491,2489,1,0,0,0,2491,2492,1,0,0,0,2492,434,1,0,0,0,2493, 2491,1,0,0,0,2494,2498,5,35,0,0,2495,2497,8,7,0,0,2496,2495,1,0, 0,0,2497,2500,1,0,0,0,2498,2496,1,0,0,0,2498,2499,1,0,0,0,2499,2501, 1,0,0,0,2500,2498,1,0,0,0,2501,2502,6,217,0,0,2502,436,1,0,0,0,2503, 2504,5,47,0,0,2504,2505,5,42,0,0,2505,2509,1,0,0,0,2506,2508,9,0, 0,0,2507,2506,1,0,0,0,2508,2511,1,0,0,0,2509,2510,1,0,0,0,2509,2507, 1,0,0,0,2510,2512,1,0,0,0,2511,2509,1,0,0,0,2512,2513,5,42,0,0,2513, 2514,5,47,0,0,2514,2515,1,0,0,0,2515,2516,6,218,0,0,2516,438,1,0, 0,0,2517,2519,7,8,0,0,2518,2517,1,0,0,0,2519,2520,1,0,0,0,2520,2518, 1,0,0,0,2520,2521,1,0,0,0,2521,2522,1,0,0,0,2522,2523,6,219,0,0, 2523,440,1,0,0,0,67,0,633,648,724,741,759,772,845,862,920,969,991, 1008,1029,1044,1071,1102,1118,1182,1232,1252,1273,1320,1344,1367, 1384,1399,1481,1764,1821,1902,1933,1958,1983,2003,2028,2053,2076, 2097,2116,2137,2158,2183,2204,2225,2247,2267,2317,2347,2428,2434, 2437,2443,2445,2449,2454,2456,2463,2469,2471,2479,2481,2485,2491, 2498,2509,2520,1,6,0,0 ] 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_CILAB = 132 OKLAB_TO_RGB = 133 CILAB_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 PLUS = 182 MINUS = 183 MULT = 184 DIV = 185 MOD = 186 POW = 187 LSHIFT = 188 RSHIFT = 189 GE = 190 GT = 191 LE = 192 LT = 193 EQ = 194 EQUEALS = 195 PLUS_EQ = 196 MINUS_EQ = 197 MULT_EQ = 198 DIV_EQ = 199 MOD_EQ = 200 NE = 201 PIPE = 202 LPAREN = 203 RPAREN = 204 COMMA = 205 SEMICOLON = 206 ARROW = 207 LBRACKET = 208 RBRACKET = 209 QUESTION = 210 COLON = 211 LBRACE = 212 RBRACE = 213 NUMBER = 214 CONSTANT = 215 STRING = 216 VARIABLE = 217 SL_COMMENT = 218 ML_COMMENT = 219 WS = 220 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_cilab'", "'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_CILAB", "OKLAB_TO_RGB", "CILAB_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", "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_CILAB", "OKLAB_TO_RGB", "CILAB_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", "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