# 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 [ 4,0,238,2918,6,-1,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7, 5,2,6,7,6,2,7,7,7,2,8,7,8,2,9,7,9,2,10,7,10,2,11,7,11,2,12,7,12, 2,13,7,13,2,14,7,14,2,15,7,15,2,16,7,16,2,17,7,17,2,18,7,18,2,19, 7,19,2,20,7,20,2,21,7,21,2,22,7,22,2,23,7,23,2,24,7,24,2,25,7,25, 2,26,7,26,2,27,7,27,2,28,7,28,2,29,7,29,2,30,7,30,2,31,7,31,2,32, 7,32,2,33,7,33,2,34,7,34,2,35,7,35,2,36,7,36,2,37,7,37,2,38,7,38, 2,39,7,39,2,40,7,40,2,41,7,41,2,42,7,42,2,43,7,43,2,44,7,44,2,45, 7,45,2,46,7,46,2,47,7,47,2,48,7,48,2,49,7,49,2,50,7,50,2,51,7,51, 2,52,7,52,2,53,7,53,2,54,7,54,2,55,7,55,2,56,7,56,2,57,7,57,2,58, 7,58,2,59,7,59,2,60,7,60,2,61,7,61,2,62,7,62,2,63,7,63,2,64,7,64, 2,65,7,65,2,66,7,66,2,67,7,67,2,68,7,68,2,69,7,69,2,70,7,70,2,71, 7,71,2,72,7,72,2,73,7,73,2,74,7,74,2,75,7,75,2,76,7,76,2,77,7,77, 2,78,7,78,2,79,7,79,2,80,7,80,2,81,7,81,2,82,7,82,2,83,7,83,2,84, 7,84,2,85,7,85,2,86,7,86,2,87,7,87,2,88,7,88,2,89,7,89,2,90,7,90, 2,91,7,91,2,92,7,92,2,93,7,93,2,94,7,94,2,95,7,95,2,96,7,96,2,97, 7,97,2,98,7,98,2,99,7,99,2,100,7,100,2,101,7,101,2,102,7,102,2,103, 7,103,2,104,7,104,2,105,7,105,2,106,7,106,2,107,7,107,2,108,7,108, 2,109,7,109,2,110,7,110,2,111,7,111,2,112,7,112,2,113,7,113,2,114, 7,114,2,115,7,115,2,116,7,116,2,117,7,117,2,118,7,118,2,119,7,119, 2,120,7,120,2,121,7,121,2,122,7,122,2,123,7,123,2,124,7,124,2,125, 7,125,2,126,7,126,2,127,7,127,2,128,7,128,2,129,7,129,2,130,7,130, 2,131,7,131,2,132,7,132,2,133,7,133,2,134,7,134,2,135,7,135,2,136, 7,136,2,137,7,137,2,138,7,138,2,139,7,139,2,140,7,140,2,141,7,141, 2,142,7,142,2,143,7,143,2,144,7,144,2,145,7,145,2,146,7,146,2,147, 7,147,2,148,7,148,2,149,7,149,2,150,7,150,2,151,7,151,2,152,7,152, 2,153,7,153,2,154,7,154,2,155,7,155,2,156,7,156,2,157,7,157,2,158, 7,158,2,159,7,159,2,160,7,160,2,161,7,161,2,162,7,162,2,163,7,163, 2,164,7,164,2,165,7,165,2,166,7,166,2,167,7,167,2,168,7,168,2,169, 7,169,2,170,7,170,2,171,7,171,2,172,7,172,2,173,7,173,2,174,7,174, 2,175,7,175,2,176,7,176,2,177,7,177,2,178,7,178,2,179,7,179,2,180, 7,180,2,181,7,181,2,182,7,182,2,183,7,183,2,184,7,184,2,185,7,185, 2,186,7,186,2,187,7,187,2,188,7,188,2,189,7,189,2,190,7,190,2,191, 7,191,2,192,7,192,2,193,7,193,2,194,7,194,2,195,7,195,2,196,7,196, 2,197,7,197,2,198,7,198,2,199,7,199,2,200,7,200,2,201,7,201,2,202, 7,202,2,203,7,203,2,204,7,204,2,205,7,205,2,206,7,206,2,207,7,207, 2,208,7,208,2,209,7,209,2,210,7,210,2,211,7,211,2,212,7,212,2,213, 7,213,2,214,7,214,2,215,7,215,2,216,7,216,2,217,7,217,2,218,7,218, 2,219,7,219,2,220,7,220,2,221,7,221,2,222,7,222,2,223,7,223,2,224, 7,224,2,225,7,225,2,226,7,226,2,227,7,227,2,228,7,228,2,229,7,229, 2,230,7,230,2,231,7,231,2,232,7,232,2,233,7,233,2,234,7,234,2,235, 7,235,2,236,7,236,2,237,7,237,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1, 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, 1,35,1,35,1,35,1,35,1,35,1,35,1,35,3,35,670,8,35,1,36,1,36,1,36, 1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,3,36,685,8,36, 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, 1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,1,46,3,46,761,8,46,1,47, 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, 1,47,3,47,778,8,47,1,48,1,48,1,48,1,48,1,48,1,49,1,49,1,49,1,49, 1,49,1,49,1,49,1,49,1,49,1,49,1,49,3,49,796,8,49,1,50,1,50,1,50, 1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,3,50,809,8,50,1,51,1,51, 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, 1,61,1,61,1,61,1,61,3,61,882,8,61,1,62,1,62,1,62,1,62,1,62,1,62, 1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,62,3,62,899,8,62,1,63, 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, 1,71,1,71,1,71,3,71,957,8,71,1,72,1,72,1,72,1,72,1,72,1,72,1,72, 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, 1,76,3,76,1006,8,76,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77, 1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,3,77,1028, 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, 1,78,1,78,1,78,3,78,1045,8,78,1,79,1,79,1,79,1,79,1,79,1,79,1,79, 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, 1066,8,79,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80, 1,80,1,80,3,80,1081,8,80,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81, 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, 1,82,1,82,1,82,1,82,3,82,1108,8,82,1,83,1,83,1,83,1,83,1,83,1,83, 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, 1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,3,84,1139,8,84, 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, 1,85,3,85,1155,8,85,1,86,1,86,1,86,1,86,1,86,1,87,1,87,1,87,1,87, 1,87,1,87,1,87,1,87,1,87,1,87,1,87,1,87,1,87,1,87,1,87,1,87,1,87, 1,87,1,87,1,87,1,87,1,87,1,87,1,87,1,87,1,87,1,87,1,87,3,87,1190, 8,87,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88, 1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88,3,88, 1216,8,88,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89, 1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,89, 1,89,1,89,1,89,1,89,3,89,1246,8,89,1,90,1,90,1,90,1,90,1,90,1,90, 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, 1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90, 3,90,1280,8,90,1,91,1,91,1,91,1,91,1,91,1,91,1,91,1,92,1,92,1,92, 1,92,1,92,1,92,1,92,1,92,1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,94, 1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,95,1,95,1,95,1,95, 1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,96,1,96,1,96,1,96,1,96,1,96, 1,96,1,96,1,96,1,96,1,96,1,96,1,96,1,96,1,96,1,96,1,96,1,96,1,96, 1,96,1,96,1,96,1,96,1,96,1,96,1,96,3,96,1351,8,96,1,97,1,97,1,97, 1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,98,1,98,1,98,1,98, 1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,99,1,99,1,99, 1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99, 1,99,1,99,1,99,1,99,1,99,1,99,3,99,1401,8,99,1,100,1,100,1,100,1, 100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100, 1,100,1,100,1,100,1,100,3,100,1421,8,100,1,101,1,101,1,101,1,101, 1,101,1,101,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102, 1,102,1,102,1,102,1,102,3,102,1442,8,102,1,103,1,103,1,103,1,103, 1,103,1,103,1,103,1,103,1,104,1,104,1,104,1,104,1,105,1,105,1,105, 1,105,1,105,1,105,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,107, 1,107,1,107,1,107,1,107,1,108,1,108,1,108,1,108,1,108,1,108,1,108, 1,108,1,108,1,108,1,108,1,108,1,108,1,108,1,108,3,108,1489,8,108, 1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109, 1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109, 3,109,1513,8,109,1,110,1,110,1,110,1,110,1,110,1,110,1,111,1,111, 1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111, 1,111,1,111,3,111,1536,8,111,1,112,1,112,1,112,1,112,1,112,1,112, 1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112,3,112,1553, 8,112,1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,113, 1,113,1,113,1,113,3,113,1568,8,113,1,114,1,114,1,114,1,114,1,114, 1,114,1,114,1,115,1,115,1,115,1,115,1,115,1,115,1,115,1,115,1,116, 1,116,1,116,1,116,1,116,1,116,1,116,1,116,1,116,1,116,1,116,1,116, 1,116,1,116,1,116,1,116,3,116,1601,8,116,1,117,1,117,1,117,1,117, 1,117,1,117,1,117,1,117,1,117,1,117,1,117,1,118,1,118,1,118,1,118, 1,118,1,118,1,118,1,118,1,118,1,118,1,119,1,119,1,119,1,119,1,119, 1,119,1,119,1,119,1,119,1,119,1,119,1,119,1,120,1,120,1,120,1,120, 1,120,1,120,1,120,1,120,1,120,1,120,1,121,1,121,1,121,1,121,1,121, 1,121,1,121,1,121,1,121,1,121,1,122,1,122,1,122,1,122,1,122,1,122, 1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122, 1,122,1,122,1,122,3,122,1676,8,122,1,123,1,123,1,123,1,123,1,124, 1,124,1,124,1,124,1,124,1,124,1,125,1,125,1,125,1,125,1,125,1,125, 1,126,1,126,1,126,1,126,1,126,1,126,1,127,1,127,1,127,1,127,1,127, 1,128,1,128,1,128,1,128,1,128,1,128,1,129,1,129,1,129,1,129,1,129, 1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130, 1,130,1,130,1,130,1,130,3,130,1731,8,130,1,131,1,131,1,131,1,131, 1,131,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,133,1,133, 1,133,1,133,1,133,1,133,1,133,1,134,1,134,1,134,1,134,1,134,1,134, 1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135, 1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,136, 1,136,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137, 1,137,1,137,1,137,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138, 1,138,1,138,1,138,1,138,1,138,1,138,1,139,1,139,1,139,1,139,1,139, 1,139,1,139,1,139,1,139,1,139,1,139,1,139,1,139,1,140,1,140,1,140, 1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140, 1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141, 1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,142, 1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143, 1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144, 1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145, 1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,146,1,146,1,146, 1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146, 1,146,1,146,1,146,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147, 1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147, 1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147, 1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147, 1,147,1,147,1,147,3,147,1960,8,147,1,148,1,148,1,148,1,148,1,148, 1,148,1,148,1,148,1,148,1,148,1,148,1,149,1,149,1,149,1,149,1,149, 1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149, 1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149,3,149,1998, 8,149,1,150,1,150,1,150,1,150,1,150,1,150,1,150,1,150,1,150,1,150, 1,150,1,150,1,150,1,150,1,150,1,150,1,150,1,150,1,150,1,150,1,150, 1,150,1,150,1,150,1,150,1,150,1,150,1,150,1,150,1,150,1,150,3,150, 2031,8,150,1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151, 1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151,3,151, 2052,8,151,1,152,1,152,1,152,1,153,1,153,1,153,1,153,1,153,1,154, 1,154,1,154,1,154,1,154,1,154,1,155,1,155,1,155,1,155,1,156,1,156, 1,156,1,157,1,157,1,157,1,157,1,157,1,157,1,158,1,158,1,158,1,158, 1,158,1,158,1,158,1,158,1,158,1,159,1,159,1,159,1,159,1,159,1,159, 1,159,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160, 1,160,1,160,3,160,2109,8,160,1,161,1,161,1,161,1,161,1,161,1,162, 1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,163,1,163,1,163,1,163, 1,163,1,163,1,163,1,164,1,164,1,164,1,164,1,164,1,164,1,164,1,165, 1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,166,1,166,1,166,1,166, 1,166,1,166,1,166,1,166,1,167,1,167,1,167,1,167,1,167,1,167,1,167, 1,168,1,168,1,168,1,168,1,168,1,169,1,169,1,169,1,169,1,169,1,169, 1,169,1,169,1,169,1,169,1,169,1,170,1,170,1,170,1,170,1,170,1,170, 1,170,1,170,1,170,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171, 1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,173, 1,173,1,173,1,173,1,173,1,174,1,174,1,174,1,174,1,175,1,175,1,175, 1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175, 1,175,3,175,2228,8,175,1,176,1,176,1,176,1,176,1,176,1,176,1,176, 1,176,1,177,1,177,1,177,1,177,1,177,1,178,1,178,1,178,1,178,1,178, 1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178,1,178, 3,178,2259,8,178,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179, 1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,1,179,3,179,2278, 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, 1,180,1,180,3,180,2303,8,180,1,181,1,181,1,181,1,181,1,181,1,181, 1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181, 1,181,1,181,1,181,1,181,1,181,1,181,3,181,2328,8,181,1,182,1,182, 1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182, 1,182,1,182,1,182,1,182,1,182,3,182,2348,8,182,1,183,1,183,1,183, 1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183, 1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183,1,183,3,183,2373, 8,183,1,184,1,184,1,184,1,184,1,184,1,184,1,184,1,184,1,184,1,184, 1,184,1,184,1,184,1,184,1,184,1,184,1,184,1,184,1,184,1,184,1,184, 1,184,1,184,3,184,2398,8,184,1,185,1,185,1,185,1,185,1,185,1,185, 1,185,1,185,1,185,1,185,1,185,1,185,1,185,1,185,1,185,1,185,1,185, 1,185,1,185,1,185,1,185,3,185,2421,8,185,1,186,1,186,1,186,1,186, 1,186,1,186,1,186,1,186,1,186,1,186,1,186,1,186,1,186,1,186,1,186, 1,186,1,186,1,186,1,186,3,186,2442,8,186,1,187,1,187,1,187,1,187, 1,187,1,187,1,187,1,187,1,187,1,187,1,187,1,187,1,187,1,187,1,187, 1,187,1,187,3,187,2461,8,187,1,188,1,188,1,188,1,188,1,188,1,188, 1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188, 1,188,1,188,3,188,2482,8,188,1,189,1,189,1,189,1,189,1,189,1,189, 1,189,1,189,1,189,1,189,1,189,1,189,1,189,1,189,1,189,1,189,1,189, 1,189,1,189,3,189,2503,8,189,1,190,1,190,1,190,1,190,1,190,1,190, 1,190,1,190,1,190,1,190,1,190,1,190,1,190,1,190,1,190,1,190,1,190, 1,190,1,190,1,190,1,190,1,190,1,190,3,190,2528,8,190,1,191,1,191, 1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191, 1,191,1,191,1,191,1,191,1,191,1,191,3,191,2549,8,191,1,192,1,192, 1,192,1,192,1,192,1,192,1,192,1,192,1,192,1,192,1,192,1,192,1,192, 1,192,1,192,1,192,1,192,1,192,1,192,3,192,2570,8,192,1,193,1,193, 1,193,1,193,1,193,1,193,1,193,1,193,1,193,1,193,1,193,1,193,1,193, 1,193,1,193,1,193,1,193,1,193,1,193,1,193,3,193,2592,8,193,1,194, 1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194, 1,194,1,194,1,194,1,194,1,194,1,194,3,194,2612,8,194,1,195,1,195, 1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195, 1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195, 1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195, 1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195, 1,195,1,195,3,195,2662,8,195,1,196,1,196,1,196,1,196,1,196,1,196, 1,196,1,196,1,196,1,196,1,196,1,196,1,196,1,196,1,196,1,196,1,196, 1,196,1,196,1,196,1,196,1,196,1,196,1,196,1,196,1,196,1,196,1,196, 3,196,2692,8,196,1,197,1,197,1,197,1,197,1,197,1,197,1,197,1,197, 1,197,1,197,1,197,1,197,1,197,1,197,1,197,1,197,1,197,1,197,3,197, 2712,8,197,1,198,1,198,1,198,1,198,1,198,1,198,1,198,1,198,1,198, 1,198,1,198,1,198,1,198,1,198,1,198,1,198,1,198,1,198,1,198,1,198, 1,198,1,198,1,198,1,198,1,198,1,198,1,198,1,198,3,198,2742,8,198, 1,199,1,199,1,200,1,200,1,201,1,201,1,202,1,202,1,203,1,203,1,204, 1,204,1,205,1,205,1,205,1,206,1,206,1,206,1,207,1,207,1,207,1,208, 1,208,1,209,1,209,1,209,1,210,1,210,1,211,1,211,1,211,1,212,1,212, 1,213,1,213,1,213,1,214,1,214,1,214,1,215,1,215,1,215,1,216,1,216, 1,216,1,217,1,217,1,217,1,218,1,218,1,218,1,219,1,219,1,220,1,220, 1,221,1,221,1,222,1,222,1,223,1,223,1,224,1,224,1,224,1,225,1,225, 1,226,1,226,1,227,1,227,1,228,1,228,1,229,1,229,1,230,1,230,1,231, 4,231,2821,8,231,11,231,12,231,2822,1,231,1,231,5,231,2827,8,231, 10,231,12,231,2830,9,231,3,231,2832,8,231,1,231,1,231,4,231,2836, 8,231,11,231,12,231,2837,3,231,2840,8,231,1,231,1,231,3,231,2844, 8,231,1,231,4,231,2847,8,231,11,231,12,231,2848,3,231,2851,8,231, 1,232,1,232,1,232,1,232,1,232,3,232,2858,8,232,1,233,1,233,1,233, 1,233,5,233,2864,8,233,10,233,12,233,2867,9,233,1,233,1,233,1,233, 1,233,1,233,5,233,2874,8,233,10,233,12,233,2877,9,233,1,233,3,233, 2880,8,233,1,234,1,234,5,234,2884,8,234,10,234,12,234,2887,9,234, 1,235,1,235,5,235,2891,8,235,10,235,12,235,2894,9,235,1,235,1,235, 1,236,1,236,1,236,1,236,5,236,2902,8,236,10,236,12,236,2905,9,236, 1,236,1,236,1,236,1,236,1,236,1,237,4,237,2913,8,237,11,237,12,237, 2914,1,237,1,237,1,2903,0,238,1,1,3,2,5,3,7,4,9,5,11,6,13,7,15,8, 17,9,19,10,21,11,23,12,25,13,27,14,29,15,31,16,33,17,35,18,37,19, 39,20,41,21,43,22,45,23,47,24,49,25,51,26,53,27,55,28,57,29,59,30, 61,31,63,32,65,33,67,34,69,35,71,36,73,37,75,38,77,39,79,40,81,41, 83,42,85,43,87,44,89,45,91,46,93,47,95,48,97,49,99,50,101,51,103, 52,105,53,107,54,109,55,111,56,113,57,115,58,117,59,119,60,121,61, 123,62,125,63,127,64,129,65,131,66,133,67,135,68,137,69,139,70,141, 71,143,72,145,73,147,74,149,75,151,76,153,77,155,78,157,79,159,80, 161,81,163,82,165,83,167,84,169,85,171,86,173,87,175,88,177,89,179, 90,181,91,183,92,185,93,187,94,189,95,191,96,193,97,195,98,197,99, 199,100,201,101,203,102,205,103,207,104,209,105,211,106,213,107, 215,108,217,109,219,110,221,111,223,112,225,113,227,114,229,115, 231,116,233,117,235,118,237,119,239,120,241,121,243,122,245,123, 247,124,249,125,251,126,253,127,255,128,257,129,259,130,261,131, 263,132,265,133,267,134,269,135,271,136,273,137,275,138,277,139, 279,140,281,141,283,142,285,143,287,144,289,145,291,146,293,147, 295,148,297,149,299,150,301,151,303,152,305,153,307,154,309,155, 311,156,313,157,315,158,317,159,319,160,321,161,323,162,325,163, 327,164,329,165,331,166,333,167,335,168,337,169,339,170,341,171, 343,172,345,173,347,174,349,175,351,176,353,177,355,178,357,179, 359,180,361,181,363,182,365,183,367,184,369,185,371,186,373,187, 375,188,377,189,379,190,381,191,383,192,385,193,387,194,389,195, 391,196,393,197,395,198,397,199,399,200,401,201,403,202,405,203, 407,204,409,205,411,206,413,207,415,208,417,209,419,210,421,211, 423,212,425,213,427,214,429,215,431,216,433,217,435,218,437,219, 439,220,441,221,443,222,445,223,447,224,449,225,451,226,453,227, 455,228,457,229,459,230,461,231,463,232,465,233,467,234,469,235, 471,236,473,237,475,238,1,0,9,1,0,48,57,2,0,69,69,101,101,2,0,43, 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, 13,3,0,9,10,13,13,32,32,3008,0,1,1,0,0,0,0,3,1,0,0,0,0,5,1,0,0,0, 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, 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111,839,1,0,0,0,113,844,1,0,0,0,115,849,1,0,0,0,117,853,1,0,0,0, 119,858,1,0,0,0,121,862,1,0,0,0,123,881,1,0,0,0,125,898,1,0,0,0, 127,900,1,0,0,0,129,909,1,0,0,0,131,913,1,0,0,0,133,920,1,0,0,0, 135,924,1,0,0,0,137,931,1,0,0,0,139,935,1,0,0,0,141,939,1,0,0,0, 143,956,1,0,0,0,145,958,1,0,0,0,147,965,1,0,0,0,149,970,1,0,0,0, 151,977,1,0,0,0,153,1005,1,0,0,0,155,1027,1,0,0,0,157,1044,1,0,0, 0,159,1065,1,0,0,0,161,1080,1,0,0,0,163,1082,1,0,0,0,165,1107,1, 0,0,0,167,1109,1,0,0,0,169,1138,1,0,0,0,171,1154,1,0,0,0,173,1156, 1,0,0,0,175,1189,1,0,0,0,177,1215,1,0,0,0,179,1245,1,0,0,0,181,1279, 1,0,0,0,183,1281,1,0,0,0,185,1288,1,0,0,0,187,1296,1,0,0,0,189,1303, 1,0,0,0,191,1313,1,0,0,0,193,1350,1,0,0,0,195,1352,1,0,0,0,197,1364, 1,0,0,0,199,1400,1,0,0,0,201,1420,1,0,0,0,203,1422,1,0,0,0,205,1441, 1,0,0,0,207,1443,1,0,0,0,209,1451,1,0,0,0,211,1455,1,0,0,0,213,1461, 1,0,0,0,215,1468,1,0,0,0,217,1488,1,0,0,0,219,1512,1,0,0,0,221,1514, 1,0,0,0,223,1535,1,0,0,0,225,1552,1,0,0,0,227,1567,1,0,0,0,229,1569, 1,0,0,0,231,1576,1,0,0,0,233,1600,1,0,0,0,235,1602,1,0,0,0,237,1613, 1,0,0,0,239,1623,1,0,0,0,241,1635,1,0,0,0,243,1645,1,0,0,0,245,1675, 1,0,0,0,247,1677,1,0,0,0,249,1681,1,0,0,0,251,1687,1,0,0,0,253,1693, 1,0,0,0,255,1699,1,0,0,0,257,1704,1,0,0,0,259,1710,1,0,0,0,261,1730, 1,0,0,0,263,1732,1,0,0,0,265,1737,1,0,0,0,267,1745,1,0,0,0,269,1752, 1,0,0,0,271,1758,1,0,0,0,273,1769,1,0,0,0,275,1781,1,0,0,0,277,1794, 1,0,0,0,279,1808,1,0,0,0,281,1821,1,0,0,0,283,1835,1,0,0,0,285,1846, 1,0,0,0,287,1857,1,0,0,0,289,1868,1,0,0,0,291,1879,1,0,0,0,293,1898, 1,0,0,0,295,1959,1,0,0,0,297,1961,1,0,0,0,299,1997,1,0,0,0,301,2030, 1,0,0,0,303,2051,1,0,0,0,305,2053,1,0,0,0,307,2056,1,0,0,0,309,2061, 1,0,0,0,311,2067,1,0,0,0,313,2071,1,0,0,0,315,2074,1,0,0,0,317,2080, 1,0,0,0,319,2089,1,0,0,0,321,2108,1,0,0,0,323,2110,1,0,0,0,325,2115, 1,0,0,0,327,2123,1,0,0,0,329,2130,1,0,0,0,331,2137,1,0,0,0,333,2145, 1,0,0,0,335,2153,1,0,0,0,337,2160,1,0,0,0,339,2165,1,0,0,0,341,2176, 1,0,0,0,343,2185,1,0,0,0,345,2193,1,0,0,0,347,2203,1,0,0,0,349,2208, 1,0,0,0,351,2227,1,0,0,0,353,2229,1,0,0,0,355,2237,1,0,0,0,357,2258, 1,0,0,0,359,2277,1,0,0,0,361,2302,1,0,0,0,363,2327,1,0,0,0,365,2347, 1,0,0,0,367,2372,1,0,0,0,369,2397,1,0,0,0,371,2420,1,0,0,0,373,2441, 1,0,0,0,375,2460,1,0,0,0,377,2481,1,0,0,0,379,2502,1,0,0,0,381,2527, 1,0,0,0,383,2548,1,0,0,0,385,2569,1,0,0,0,387,2591,1,0,0,0,389,2611, 1,0,0,0,391,2661,1,0,0,0,393,2691,1,0,0,0,395,2711,1,0,0,0,397,2741, 1,0,0,0,399,2743,1,0,0,0,401,2745,1,0,0,0,403,2747,1,0,0,0,405,2749, 1,0,0,0,407,2751,1,0,0,0,409,2753,1,0,0,0,411,2755,1,0,0,0,413,2758, 1,0,0,0,415,2761,1,0,0,0,417,2764,1,0,0,0,419,2766,1,0,0,0,421,2769, 1,0,0,0,423,2771,1,0,0,0,425,2774,1,0,0,0,427,2776,1,0,0,0,429,2779, 1,0,0,0,431,2782,1,0,0,0,433,2785,1,0,0,0,435,2788,1,0,0,0,437,2791, 1,0,0,0,439,2794,1,0,0,0,441,2796,1,0,0,0,443,2798,1,0,0,0,445,2800, 1,0,0,0,447,2802,1,0,0,0,449,2804,1,0,0,0,451,2807,1,0,0,0,453,2809, 1,0,0,0,455,2811,1,0,0,0,457,2813,1,0,0,0,459,2815,1,0,0,0,461,2817, 1,0,0,0,463,2839,1,0,0,0,465,2857,1,0,0,0,467,2879,1,0,0,0,469,2881, 1,0,0,0,471,2888,1,0,0,0,473,2897,1,0,0,0,475,2912,1,0,0,0,477,478, 5,115,0,0,478,479,5,105,0,0,479,480,5,110,0,0,480,2,1,0,0,0,481, 482,5,99,0,0,482,483,5,111,0,0,483,484,5,115,0,0,484,4,1,0,0,0,485, 486,5,116,0,0,486,487,5,97,0,0,487,488,5,110,0,0,488,6,1,0,0,0,489, 490,5,97,0,0,490,491,5,115,0,0,491,492,5,105,0,0,492,493,5,110,0, 0,493,8,1,0,0,0,494,495,5,97,0,0,495,496,5,99,0,0,496,497,5,111, 0,0,497,498,5,115,0,0,498,10,1,0,0,0,499,500,5,97,0,0,500,501,5, 116,0,0,501,502,5,97,0,0,502,503,5,110,0,0,503,12,1,0,0,0,504,505, 5,97,0,0,505,506,5,116,0,0,506,507,5,97,0,0,507,508,5,110,0,0,508, 509,5,50,0,0,509,14,1,0,0,0,510,511,5,115,0,0,511,512,5,105,0,0, 512,513,5,110,0,0,513,514,5,104,0,0,514,16,1,0,0,0,515,516,5,99, 0,0,516,517,5,111,0,0,517,518,5,115,0,0,518,519,5,104,0,0,519,18, 1,0,0,0,520,521,5,116,0,0,521,522,5,97,0,0,522,523,5,110,0,0,523, 524,5,104,0,0,524,20,1,0,0,0,525,526,5,97,0,0,526,527,5,115,0,0, 527,528,5,105,0,0,528,529,5,110,0,0,529,530,5,104,0,0,530,22,1,0, 0,0,531,532,5,97,0,0,532,533,5,99,0,0,533,534,5,111,0,0,534,535, 5,115,0,0,535,536,5,104,0,0,536,24,1,0,0,0,537,538,5,97,0,0,538, 539,5,116,0,0,539,540,5,97,0,0,540,541,5,110,0,0,541,542,5,104,0, 0,542,26,1,0,0,0,543,544,5,97,0,0,544,545,5,98,0,0,545,546,5,115, 0,0,546,28,1,0,0,0,547,548,5,115,0,0,548,549,5,113,0,0,549,550,5, 114,0,0,550,551,5,116,0,0,551,30,1,0,0,0,552,553,5,108,0,0,553,554, 5,110,0,0,554,32,1,0,0,0,555,556,5,108,0,0,556,557,5,111,0,0,557, 558,5,103,0,0,558,34,1,0,0,0,559,560,5,101,0,0,560,561,5,120,0,0, 561,562,5,112,0,0,562,36,1,0,0,0,563,564,5,115,0,0,564,565,5,109, 0,0,565,566,5,105,0,0,566,567,5,110,0,0,567,38,1,0,0,0,568,569,5, 115,0,0,569,570,5,109,0,0,570,571,5,97,0,0,571,572,5,120,0,0,572, 40,1,0,0,0,573,574,5,116,0,0,574,575,5,109,0,0,575,576,5,105,0,0, 576,577,5,110,0,0,577,42,1,0,0,0,578,579,5,116,0,0,579,580,5,109, 0,0,580,581,5,97,0,0,581,582,5,120,0,0,582,44,1,0,0,0,583,584,5, 116,0,0,584,585,5,110,0,0,585,586,5,111,0,0,586,587,5,114,0,0,587, 588,5,109,0,0,588,46,1,0,0,0,589,590,5,115,0,0,590,591,5,110,0,0, 591,592,5,111,0,0,592,593,5,114,0,0,593,594,5,109,0,0,594,48,1,0, 0,0,595,596,5,102,0,0,596,597,5,108,0,0,597,598,5,111,0,0,598,599, 5,111,0,0,599,600,5,114,0,0,600,50,1,0,0,0,601,602,5,99,0,0,602, 603,5,101,0,0,603,604,5,105,0,0,604,605,5,108,0,0,605,52,1,0,0,0, 606,607,5,114,0,0,607,608,5,111,0,0,608,609,5,117,0,0,609,610,5, 110,0,0,610,611,5,100,0,0,611,54,1,0,0,0,612,613,5,103,0,0,613,614, 5,97,0,0,614,615,5,109,0,0,615,616,5,109,0,0,616,617,5,97,0,0,617, 56,1,0,0,0,618,619,5,112,0,0,619,620,5,111,0,0,620,621,5,119,0,0, 621,58,1,0,0,0,622,623,5,115,0,0,623,624,5,105,0,0,624,625,5,103, 0,0,625,626,5,109,0,0,626,60,1,0,0,0,627,628,5,99,0,0,628,629,5, 108,0,0,629,630,5,97,0,0,630,631,5,109,0,0,631,632,5,112,0,0,632, 62,1,0,0,0,633,634,5,102,0,0,634,635,5,102,0,0,635,636,5,116,0,0, 636,64,1,0,0,0,637,638,5,105,0,0,638,639,5,102,0,0,639,640,5,102, 0,0,640,641,5,116,0,0,641,66,1,0,0,0,642,643,5,97,0,0,643,644,5, 110,0,0,644,645,5,103,0,0,645,646,5,108,0,0,646,647,5,101,0,0,647, 68,1,0,0,0,648,649,5,112,0,0,649,650,5,114,0,0,650,651,5,105,0,0, 651,652,5,110,0,0,652,653,5,116,0,0,653,70,1,0,0,0,654,655,5,112, 0,0,655,656,5,114,0,0,656,657,5,105,0,0,657,658,5,110,0,0,658,659, 5,116,0,0,659,660,5,95,0,0,660,661,5,115,0,0,661,662,5,104,0,0,662, 663,5,97,0,0,663,664,5,112,0,0,664,670,5,101,0,0,665,666,5,112,0, 0,666,667,5,115,0,0,667,668,5,104,0,0,668,670,5,112,0,0,669,654, 1,0,0,0,669,665,1,0,0,0,670,72,1,0,0,0,671,672,5,110,0,0,672,673, 5,118,0,0,673,685,5,108,0,0,674,675,5,110,0,0,675,676,5,97,0,0,676, 677,5,110,0,0,677,678,5,95,0,0,678,679,5,116,0,0,679,680,5,111,0, 0,680,681,5,95,0,0,681,682,5,110,0,0,682,683,5,117,0,0,683,685,5, 109,0,0,684,671,1,0,0,0,684,674,1,0,0,0,685,74,1,0,0,0,686,687,5, 108,0,0,687,688,5,101,0,0,688,689,5,114,0,0,689,690,5,112,0,0,690, 76,1,0,0,0,691,692,5,115,0,0,692,693,5,116,0,0,693,694,5,101,0,0, 694,695,5,112,0,0,695,78,1,0,0,0,696,697,5,115,0,0,697,698,5,109, 0,0,698,699,5,111,0,0,699,700,5,111,0,0,700,701,5,116,0,0,701,702, 5,104,0,0,702,703,5,115,0,0,703,704,5,116,0,0,704,705,5,101,0,0, 705,706,5,112,0,0,706,80,1,0,0,0,707,708,5,102,0,0,708,709,5,114, 0,0,709,710,5,97,0,0,710,711,5,99,0,0,711,712,5,116,0,0,712,82,1, 0,0,0,713,714,5,114,0,0,714,715,5,101,0,0,715,716,5,108,0,0,716, 717,5,117,0,0,717,84,1,0,0,0,718,719,5,115,0,0,719,720,5,111,0,0, 720,721,5,102,0,0,721,722,5,116,0,0,722,723,5,112,0,0,723,724,5, 108,0,0,724,725,5,117,0,0,725,726,5,115,0,0,726,86,1,0,0,0,727,728, 5,103,0,0,728,729,5,101,0,0,729,730,5,108,0,0,730,731,5,117,0,0, 731,88,1,0,0,0,732,733,5,115,0,0,733,734,5,105,0,0,734,735,5,103, 0,0,735,736,5,110,0,0,736,90,1,0,0,0,737,738,5,109,0,0,738,739,5, 97,0,0,739,740,5,112,0,0,740,92,1,0,0,0,741,742,5,101,0,0,742,743, 5,122,0,0,743,744,5,99,0,0,744,745,5,111,0,0,745,746,5,110,0,0,746, 747,5,118,0,0,747,748,5,111,0,0,748,749,5,108,0,0,749,750,5,117, 0,0,750,751,5,116,0,0,751,752,5,105,0,0,752,753,5,111,0,0,753,761, 5,110,0,0,754,755,5,101,0,0,755,756,5,122,0,0,756,757,5,99,0,0,757, 758,5,111,0,0,758,759,5,110,0,0,759,761,5,118,0,0,760,741,1,0,0, 0,760,754,1,0,0,0,761,94,1,0,0,0,762,763,5,99,0,0,763,764,5,111, 0,0,764,765,5,110,0,0,765,766,5,118,0,0,766,767,5,111,0,0,767,768, 5,108,0,0,768,769,5,117,0,0,769,770,5,116,0,0,770,771,5,105,0,0, 771,772,5,111,0,0,772,778,5,110,0,0,773,774,5,99,0,0,774,775,5,111, 0,0,775,776,5,110,0,0,776,778,5,118,0,0,777,762,1,0,0,0,777,773, 1,0,0,0,778,96,1,0,0,0,779,780,5,115,0,0,780,781,5,119,0,0,781,782, 5,97,0,0,782,783,5,112,0,0,783,98,1,0,0,0,784,785,5,112,0,0,785, 786,5,101,0,0,786,787,5,114,0,0,787,788,5,109,0,0,788,789,5,117, 0,0,789,790,5,116,0,0,790,796,5,101,0,0,791,792,5,112,0,0,792,793, 5,101,0,0,793,794,5,114,0,0,794,796,5,109,0,0,795,784,1,0,0,0,795, 791,1,0,0,0,796,100,1,0,0,0,797,798,5,114,0,0,798,799,5,101,0,0, 799,800,5,115,0,0,800,801,5,104,0,0,801,802,5,97,0,0,802,803,5,112, 0,0,803,809,5,101,0,0,804,805,5,114,0,0,805,806,5,115,0,0,806,807, 5,104,0,0,807,809,5,112,0,0,808,797,1,0,0,0,808,804,1,0,0,0,809, 102,1,0,0,0,810,811,5,114,0,0,811,812,5,97,0,0,812,813,5,110,0,0, 813,814,5,103,0,0,814,815,5,101,0,0,815,104,1,0,0,0,816,817,5,108, 0,0,817,818,5,105,0,0,818,819,5,110,0,0,819,820,5,115,0,0,820,821, 5,112,0,0,821,822,5,97,0,0,822,823,5,99,0,0,823,824,5,101,0,0,824, 106,1,0,0,0,825,826,5,108,0,0,826,827,5,111,0,0,827,828,5,103,0, 0,828,829,5,115,0,0,829,830,5,112,0,0,830,831,5,97,0,0,831,832,5, 99,0,0,832,833,5,101,0,0,833,108,1,0,0,0,834,835,5,116,0,0,835,836, 5,111,0,0,836,837,5,112,0,0,837,838,5,107,0,0,838,110,1,0,0,0,839, 840,5,98,0,0,840,841,5,111,0,0,841,842,5,116,0,0,842,843,5,107,0, 0,843,112,1,0,0,0,844,845,5,112,0,0,845,846,5,105,0,0,846,847,5, 110,0,0,847,848,5,118,0,0,848,114,1,0,0,0,849,850,5,115,0,0,850, 851,5,117,0,0,851,852,5,109,0,0,852,116,1,0,0,0,853,854,5,109,0, 0,854,855,5,101,0,0,855,856,5,97,0,0,856,857,5,110,0,0,857,118,1, 0,0,0,858,859,5,115,0,0,859,860,5,116,0,0,860,861,5,100,0,0,861, 120,1,0,0,0,862,863,5,118,0,0,863,864,5,97,0,0,864,865,5,114,0,0, 865,122,1,0,0,0,866,867,5,113,0,0,867,868,5,117,0,0,868,869,5,97, 0,0,869,870,5,114,0,0,870,871,5,116,0,0,871,872,5,105,0,0,872,873, 5,108,0,0,873,882,5,101,0,0,874,875,5,113,0,0,875,876,5,117,0,0, 876,877,5,97,0,0,877,878,5,114,0,0,878,879,5,116,0,0,879,880,5,105, 0,0,880,882,5,108,0,0,881,866,1,0,0,0,881,874,1,0,0,0,882,124,1, 0,0,0,883,884,5,112,0,0,884,885,5,101,0,0,885,886,5,114,0,0,886, 887,5,99,0,0,887,888,5,101,0,0,888,889,5,110,0,0,889,890,5,116,0, 0,890,891,5,105,0,0,891,892,5,108,0,0,892,899,5,101,0,0,893,894, 5,112,0,0,894,895,5,114,0,0,895,896,5,99,0,0,896,897,5,110,0,0,897, 899,5,116,0,0,898,883,1,0,0,0,898,893,1,0,0,0,899,126,1,0,0,0,900, 901,5,113,0,0,901,902,5,117,0,0,902,903,5,97,0,0,903,904,5,110,0, 0,904,905,5,116,0,0,905,906,5,105,0,0,906,907,5,108,0,0,907,908, 5,101,0,0,908,128,1,0,0,0,909,910,5,100,0,0,910,911,5,111,0,0,911, 912,5,116,0,0,912,130,1,0,0,0,913,914,5,109,0,0,914,915,5,111,0, 0,915,916,5,109,0,0,916,917,5,101,0,0,917,918,5,110,0,0,918,919, 5,116,0,0,919,132,1,0,0,0,920,921,5,101,0,0,921,922,5,114,0,0,922, 923,5,102,0,0,923,134,1,0,0,0,924,925,5,101,0,0,925,926,5,114,0, 0,926,927,5,102,0,0,927,928,5,105,0,0,928,929,5,110,0,0,929,930, 5,118,0,0,930,136,1,0,0,0,931,932,5,97,0,0,932,933,5,110,0,0,933, 934,5,121,0,0,934,138,1,0,0,0,935,936,5,97,0,0,936,937,5,108,0,0, 937,938,5,108,0,0,938,140,1,0,0,0,939,940,5,101,0,0,940,941,5,100, 0,0,941,942,5,103,0,0,942,943,5,101,0,0,943,142,1,0,0,0,944,945, 5,98,0,0,945,946,5,108,0,0,946,947,5,117,0,0,947,957,5,114,0,0,948, 949,5,103,0,0,949,950,5,97,0,0,950,951,5,117,0,0,951,952,5,115,0, 0,952,953,5,115,0,0,953,954,5,105,0,0,954,955,5,97,0,0,955,957,5, 110,0,0,956,944,1,0,0,0,956,948,1,0,0,0,957,144,1,0,0,0,958,959, 5,109,0,0,959,960,5,101,0,0,960,961,5,100,0,0,961,962,5,105,0,0, 962,963,5,97,0,0,963,964,5,110,0,0,964,146,1,0,0,0,965,966,5,109, 0,0,966,967,5,111,0,0,967,968,5,100,0,0,968,969,5,101,0,0,969,148, 1,0,0,0,970,971,5,99,0,0,971,972,5,117,0,0,972,973,5,109,0,0,973, 974,5,115,0,0,974,975,5,117,0,0,975,976,5,109,0,0,976,150,1,0,0, 0,977,978,5,99,0,0,978,979,5,117,0,0,979,980,5,109,0,0,980,981,5, 112,0,0,981,982,5,114,0,0,982,983,5,111,0,0,983,984,5,100,0,0,984, 152,1,0,0,0,985,986,5,116,0,0,986,987,5,111,0,0,987,988,5,112,0, 0,988,989,5,107,0,0,989,990,5,95,0,0,990,991,5,105,0,0,991,992,5, 110,0,0,992,1006,5,100,0,0,993,994,5,116,0,0,994,995,5,111,0,0,995, 996,5,112,0,0,996,997,5,107,0,0,997,998,5,95,0,0,998,999,5,105,0, 0,999,1000,5,110,0,0,1000,1001,5,100,0,0,1001,1002,5,105,0,0,1002, 1003,5,99,0,0,1003,1004,5,101,0,0,1004,1006,5,115,0,0,1005,985,1, 0,0,0,1005,993,1,0,0,0,1006,154,1,0,0,0,1007,1008,5,98,0,0,1008, 1009,5,111,0,0,1009,1010,5,116,0,0,1010,1011,5,107,0,0,1011,1012, 5,95,0,0,1012,1013,5,105,0,0,1013,1014,5,110,0,0,1014,1028,5,100, 0,0,1015,1016,5,98,0,0,1016,1017,5,111,0,0,1017,1018,5,116,0,0,1018, 1019,5,107,0,0,1019,1020,5,95,0,0,1020,1021,5,105,0,0,1021,1022, 5,110,0,0,1022,1023,5,100,0,0,1023,1024,5,105,0,0,1024,1025,5,99, 0,0,1025,1026,5,101,0,0,1026,1028,5,115,0,0,1027,1007,1,0,0,0,1027, 1015,1,0,0,0,1028,156,1,0,0,0,1029,1030,5,99,0,0,1030,1031,5,117, 0,0,1031,1032,5,98,0,0,1032,1033,5,105,0,0,1033,1034,5,99,0,0,1034, 1035,5,95,0,0,1035,1036,5,101,0,0,1036,1037,5,97,0,0,1037,1038,5, 115,0,0,1038,1045,5,101,0,0,1039,1040,5,99,0,0,1040,1041,5,117,0, 0,1041,1042,5,98,0,0,1042,1043,5,105,0,0,1043,1045,5,99,0,0,1044, 1029,1,0,0,0,1044,1039,1,0,0,0,1045,158,1,0,0,0,1046,1047,5,101, 0,0,1047,1048,5,108,0,0,1048,1049,5,97,0,0,1049,1050,5,115,0,0,1050, 1051,5,116,0,0,1051,1052,5,105,0,0,1052,1053,5,99,0,0,1053,1054, 5,95,0,0,1054,1055,5,101,0,0,1055,1056,5,97,0,0,1056,1057,5,115, 0,0,1057,1066,5,101,0,0,1058,1059,5,101,0,0,1059,1060,5,108,0,0, 1060,1061,5,97,0,0,1061,1062,5,115,0,0,1062,1063,5,116,0,0,1063, 1064,5,105,0,0,1064,1066,5,99,0,0,1065,1046,1,0,0,0,1065,1058,1, 0,0,0,1066,160,1,0,0,0,1067,1068,5,115,0,0,1068,1069,5,105,0,0,1069, 1070,5,110,0,0,1070,1071,5,101,0,0,1071,1072,5,95,0,0,1072,1073, 5,101,0,0,1073,1074,5,97,0,0,1074,1075,5,115,0,0,1075,1081,5,101, 0,0,1076,1077,5,115,0,0,1077,1078,5,105,0,0,1078,1079,5,110,0,0, 1079,1081,5,101,0,0,1080,1067,1,0,0,0,1080,1076,1,0,0,0,1081,162, 1,0,0,0,1082,1083,5,115,0,0,1083,1084,5,109,0,0,1084,1085,5,111, 0,0,1085,1086,5,111,0,0,1086,1087,5,116,0,0,1087,1088,5,104,0,0, 1088,1089,5,101,0,0,1089,1090,5,114,0,0,1090,1091,5,115,0,0,1091, 1092,5,116,0,0,1092,1093,5,101,0,0,1093,1094,5,112,0,0,1094,164, 1,0,0,0,1095,1096,5,100,0,0,1096,1097,5,105,0,0,1097,1098,5,115, 0,0,1098,1108,5,116,0,0,1099,1100,5,100,0,0,1100,1101,5,105,0,0, 1101,1102,5,115,0,0,1102,1103,5,116,0,0,1103,1104,5,97,0,0,1104, 1105,5,110,0,0,1105,1106,5,99,0,0,1106,1108,5,101,0,0,1107,1095, 1,0,0,0,1107,1099,1,0,0,0,1108,166,1,0,0,0,1109,1110,5,114,0,0,1110, 1111,5,101,0,0,1111,1112,5,109,0,0,1112,1113,5,97,0,0,1113,1114, 5,112,0,0,1114,168,1,0,0,0,1115,1116,5,99,0,0,1116,1117,5,111,0, 0,1117,1118,5,115,0,0,1118,1119,5,115,0,0,1119,1120,5,105,0,0,1120, 1139,5,109,0,0,1121,1122,5,99,0,0,1122,1123,5,111,0,0,1123,1124, 5,115,0,0,1124,1125,5,105,0,0,1125,1126,5,110,0,0,1126,1127,5,101, 0,0,1127,1128,5,95,0,0,1128,1129,5,115,0,0,1129,1130,5,105,0,0,1130, 1131,5,109,0,0,1131,1132,5,105,0,0,1132,1133,5,108,0,0,1133,1134, 5,97,0,0,1134,1135,5,114,0,0,1135,1136,5,105,0,0,1136,1137,5,116, 0,0,1137,1139,5,121,0,0,1138,1115,1,0,0,0,1138,1121,1,0,0,0,1139, 170,1,0,0,0,1140,1141,5,99,0,0,1141,1142,5,111,0,0,1142,1143,5,117, 0,0,1143,1144,5,110,0,0,1144,1155,5,116,0,0,1145,1146,5,99,0,0,1146, 1147,5,110,0,0,1147,1155,5,116,0,0,1148,1149,5,108,0,0,1149,1150, 5,101,0,0,1150,1151,5,110,0,0,1151,1152,5,103,0,0,1152,1153,5,116, 0,0,1153,1155,5,104,0,0,1154,1140,1,0,0,0,1154,1145,1,0,0,0,1154, 1148,1,0,0,0,1155,172,1,0,0,0,1156,1157,5,107,0,0,1157,1158,5,101, 0,0,1158,1159,5,121,0,0,1159,1160,5,115,0,0,1160,174,1,0,0,0,1161, 1162,5,103,0,0,1162,1163,5,101,0,0,1163,1164,5,116,0,0,1164,1165, 5,95,0,0,1165,1166,5,99,0,0,1166,1167,5,104,0,0,1167,1168,5,97,0, 0,1168,1169,5,110,0,0,1169,1170,5,103,0,0,1170,1171,5,101,0,0,1171, 1172,5,100,0,0,1172,1173,5,95,0,0,1173,1174,5,107,0,0,1174,1175, 5,101,0,0,1175,1176,5,121,0,0,1176,1190,5,115,0,0,1177,1178,5,99, 0,0,1178,1179,5,104,0,0,1179,1180,5,97,0,0,1180,1181,5,110,0,0,1181, 1182,5,103,0,0,1182,1183,5,101,0,0,1183,1184,5,100,0,0,1184,1185, 5,95,0,0,1185,1186,5,107,0,0,1186,1187,5,101,0,0,1187,1188,5,121, 0,0,1188,1190,5,115,0,0,1189,1161,1,0,0,0,1189,1177,1,0,0,0,1190, 176,1,0,0,0,1191,1192,5,103,0,0,1192,1193,5,101,0,0,1193,1194,5, 116,0,0,1194,1195,5,95,0,0,1195,1196,5,97,0,0,1196,1197,5,100,0, 0,1197,1198,5,100,0,0,1198,1199,5,101,0,0,1199,1200,5,100,0,0,1200, 1201,5,95,0,0,1201,1202,5,107,0,0,1202,1203,5,101,0,0,1203,1204, 5,121,0,0,1204,1216,5,115,0,0,1205,1206,5,97,0,0,1206,1207,5,100, 0,0,1207,1208,5,100,0,0,1208,1209,5,101,0,0,1209,1210,5,100,0,0, 1210,1211,5,95,0,0,1211,1212,5,107,0,0,1212,1213,5,101,0,0,1213, 1214,5,121,0,0,1214,1216,5,115,0,0,1215,1191,1,0,0,0,1215,1205,1, 0,0,0,1216,178,1,0,0,0,1217,1218,5,103,0,0,1218,1219,5,101,0,0,1219, 1220,5,116,0,0,1220,1221,5,95,0,0,1221,1222,5,114,0,0,1222,1223, 5,101,0,0,1223,1224,5,109,0,0,1224,1225,5,111,0,0,1225,1226,5,118, 0,0,1226,1227,5,101,0,0,1227,1228,5,100,0,0,1228,1229,5,95,0,0,1229, 1230,5,107,0,0,1230,1231,5,101,0,0,1231,1232,5,121,0,0,1232,1246, 5,115,0,0,1233,1234,5,114,0,0,1234,1235,5,101,0,0,1235,1236,5,109, 0,0,1236,1237,5,111,0,0,1237,1238,5,118,0,0,1238,1239,5,101,0,0, 1239,1240,5,100,0,0,1240,1241,5,95,0,0,1241,1242,5,107,0,0,1242, 1243,5,101,0,0,1243,1244,5,121,0,0,1244,1246,5,115,0,0,1245,1217, 1,0,0,0,1245,1233,1,0,0,0,1246,180,1,0,0,0,1247,1248,5,103,0,0,1248, 1249,5,101,0,0,1249,1250,5,116,0,0,1250,1251,5,95,0,0,1251,1252, 5,117,0,0,1252,1253,5,110,0,0,1253,1254,5,99,0,0,1254,1255,5,104, 0,0,1255,1256,5,97,0,0,1256,1257,5,110,0,0,1257,1258,5,103,0,0,1258, 1259,5,101,0,0,1259,1260,5,100,0,0,1260,1261,5,95,0,0,1261,1262, 5,107,0,0,1262,1263,5,101,0,0,1263,1264,5,121,0,0,1264,1280,5,115, 0,0,1265,1266,5,117,0,0,1266,1267,5,110,0,0,1267,1268,5,99,0,0,1268, 1269,5,104,0,0,1269,1270,5,97,0,0,1270,1271,5,110,0,0,1271,1272, 5,103,0,0,1272,1273,5,101,0,0,1273,1274,5,100,0,0,1274,1275,5,95, 0,0,1275,1276,5,107,0,0,1276,1277,5,101,0,0,1277,1278,5,121,0,0, 1278,1280,5,115,0,0,1279,1247,1,0,0,0,1279,1265,1,0,0,0,1280,182, 1,0,0,0,1281,1282,5,114,0,0,1282,1283,5,101,0,0,1283,1284,5,112, 0,0,1284,1285,5,101,0,0,1285,1286,5,97,0,0,1286,1287,5,116,0,0,1287, 184,1,0,0,0,1288,1289,5,102,0,0,1289,1290,5,108,0,0,1290,1291,5, 97,0,0,1291,1292,5,116,0,0,1292,1293,5,116,0,0,1293,1294,5,101,0, 0,1294,1295,5,110,0,0,1295,186,1,0,0,0,1296,1297,5,97,0,0,1297,1298, 5,112,0,0,1298,1299,5,112,0,0,1299,1300,5,101,0,0,1300,1301,5,110, 0,0,1301,1302,5,100,0,0,1302,188,1,0,0,0,1303,1304,5,103,0,0,1304, 1305,5,101,0,0,1305,1306,5,116,0,0,1306,1307,5,95,0,0,1307,1308, 5,118,0,0,1308,1309,5,97,0,0,1309,1310,5,108,0,0,1310,1311,5,117, 0,0,1311,1312,5,101,0,0,1312,190,1,0,0,0,1313,1314,5,102,0,0,1314, 1315,5,108,0,0,1315,1316,5,111,0,0,1316,1317,5,119,0,0,1317,1318, 5,95,0,0,1318,1319,5,97,0,0,1319,1320,5,112,0,0,1320,1321,5,112, 0,0,1321,1322,5,108,0,0,1322,1323,5,121,0,0,1323,192,1,0,0,0,1324, 1325,5,98,0,0,1325,1326,5,97,0,0,1326,1327,5,116,0,0,1327,1328,5, 99,0,0,1328,1329,5,104,0,0,1329,1330,5,95,0,0,1330,1331,5,115,0, 0,1331,1332,5,104,0,0,1332,1333,5,117,0,0,1333,1334,5,102,0,0,1334, 1335,5,102,0,0,1335,1336,5,108,0,0,1336,1351,5,101,0,0,1337,1338, 5,115,0,0,1338,1339,5,104,0,0,1339,1340,5,117,0,0,1340,1341,5,102, 0,0,1341,1342,5,102,0,0,1342,1343,5,108,0,0,1343,1351,5,101,0,0, 1344,1345,5,115,0,0,1345,1346,5,101,0,0,1346,1347,5,108,0,0,1347, 1348,5,101,0,0,1348,1349,5,99,0,0,1349,1351,5,116,0,0,1350,1324, 1,0,0,0,1350,1337,1,0,0,0,1350,1344,1,0,0,0,1351,194,1,0,0,0,1352, 1353,5,109,0,0,1353,1354,5,111,0,0,1354,1355,5,116,0,0,1355,1356, 5,105,0,0,1356,1357,5,111,0,0,1357,1358,5,110,0,0,1358,1359,5,95, 0,0,1359,1360,5,109,0,0,1360,1361,5,97,0,0,1361,1362,5,115,0,0,1362, 1363,5,107,0,0,1363,196,1,0,0,0,1364,1365,5,102,0,0,1365,1366,5, 108,0,0,1366,1367,5,111,0,0,1367,1368,5,119,0,0,1368,1369,5,95,0, 0,1369,1370,5,116,0,0,1370,1371,5,111,0,0,1371,1372,5,95,0,0,1372, 1373,5,105,0,0,1373,1374,5,109,0,0,1374,1375,5,97,0,0,1375,1376, 5,103,0,0,1376,1377,5,101,0,0,1377,198,1,0,0,0,1378,1379,5,102,0, 0,1379,1380,5,108,0,0,1380,1381,5,111,0,0,1381,1382,5,119,0,0,1382, 1383,5,95,0,0,1383,1384,5,109,0,0,1384,1385,5,97,0,0,1385,1401,5, 103,0,0,1386,1387,5,102,0,0,1387,1388,5,108,0,0,1388,1389,5,111, 0,0,1389,1390,5,119,0,0,1390,1391,5,95,0,0,1391,1392,5,109,0,0,1392, 1393,5,97,0,0,1393,1394,5,103,0,0,1394,1395,5,110,0,0,1395,1396, 5,105,0,0,1396,1397,5,116,0,0,1397,1398,5,117,0,0,1398,1399,5,100, 0,0,1399,1401,5,101,0,0,1400,1378,1,0,0,0,1400,1386,1,0,0,0,1401, 200,1,0,0,0,1402,1403,5,102,0,0,1403,1404,5,108,0,0,1404,1405,5, 111,0,0,1405,1406,5,119,0,0,1406,1407,5,95,0,0,1407,1408,5,97,0, 0,1408,1409,5,110,0,0,1409,1421,5,103,0,0,1410,1411,5,102,0,0,1411, 1412,5,108,0,0,1412,1413,5,111,0,0,1413,1414,5,119,0,0,1414,1415, 5,95,0,0,1415,1416,5,97,0,0,1416,1417,5,110,0,0,1417,1418,5,103, 0,0,1418,1419,5,108,0,0,1419,1421,5,101,0,0,1420,1402,1,0,0,0,1420, 1410,1,0,0,0,1421,202,1,0,0,0,1422,1423,5,119,0,0,1423,1424,5,104, 0,0,1424,1425,5,101,0,0,1425,1426,5,114,0,0,1426,1427,5,101,0,0, 1427,204,1,0,0,0,1428,1429,5,104,0,0,1429,1430,5,105,0,0,1430,1431, 5,115,0,0,1431,1432,5,116,0,0,1432,1433,5,111,0,0,1433,1434,5,103, 0,0,1434,1435,5,114,0,0,1435,1436,5,97,0,0,1436,1442,5,109,0,0,1437, 1438,5,104,0,0,1438,1439,5,105,0,0,1439,1440,5,115,0,0,1440,1442, 5,116,0,0,1441,1428,1,0,0,0,1441,1437,1,0,0,0,1442,206,1,0,0,0,1443, 1444,5,111,0,0,1444,1445,5,118,0,0,1445,1446,5,101,0,0,1446,1447, 5,114,0,0,1447,1448,5,108,0,0,1448,1449,5,97,0,0,1449,1450,5,121, 0,0,1450,208,1,0,0,0,1451,1452,5,112,0,0,1452,1453,5,97,0,0,1453, 1454,5,100,0,0,1454,210,1,0,0,0,1455,1456,5,99,0,0,1456,1457,5,114, 0,0,1457,1458,5,111,0,0,1458,1459,5,115,0,0,1459,1460,5,115,0,0, 1460,212,1,0,0,0,1461,1462,5,109,0,0,1462,1463,5,97,0,0,1463,1464, 5,116,0,0,1464,1465,5,109,0,0,1465,1466,5,117,0,0,1466,1467,5,108, 0,0,1467,214,1,0,0,0,1468,1469,5,114,0,0,1469,1470,5,105,0,0,1470, 1471,5,102,0,0,1471,1472,5,101,0,0,1472,216,1,0,0,0,1473,1474,5, 98,0,0,1474,1475,5,110,0,0,1475,1476,5,111,0,0,1476,1489,5,116,0, 0,1477,1478,5,98,0,0,1478,1479,5,105,0,0,1479,1480,5,116,0,0,1480, 1481,5,119,0,0,1481,1482,5,105,0,0,1482,1483,5,115,0,0,1483,1484, 5,101,0,0,1484,1485,5,95,0,0,1485,1486,5,110,0,0,1486,1487,5,111, 0,0,1487,1489,5,116,0,0,1488,1473,1,0,0,0,1488,1477,1,0,0,0,1489, 218,1,0,0,0,1490,1491,5,98,0,0,1491,1492,5,105,0,0,1492,1493,5,116, 0,0,1493,1494,5,99,0,0,1494,1495,5,111,0,0,1495,1496,5,117,0,0,1496, 1497,5,110,0,0,1497,1513,5,116,0,0,1498,1499,5,112,0,0,1499,1500, 5,111,0,0,1500,1501,5,112,0,0,1501,1502,5,99,0,0,1502,1503,5,111, 0,0,1503,1504,5,117,0,0,1504,1505,5,110,0,0,1505,1513,5,116,0,0, 1506,1507,5,112,0,0,1507,1508,5,111,0,0,1508,1509,5,112,0,0,1509, 1510,5,99,0,0,1510,1511,5,110,0,0,1511,1513,5,116,0,0,1512,1490, 1,0,0,0,1512,1498,1,0,0,0,1512,1506,1,0,0,0,1513,220,1,0,0,0,1514, 1515,5,115,0,0,1515,1516,5,104,0,0,1516,1517,5,97,0,0,1517,1518, 5,112,0,0,1518,1519,5,101,0,0,1519,222,1,0,0,0,1520,1521,5,98,0, 0,1521,1522,5,97,0,0,1522,1523,5,110,0,0,1523,1536,5,100,0,0,1524, 1525,5,98,0,0,1525,1526,5,105,0,0,1526,1527,5,116,0,0,1527,1528, 5,119,0,0,1528,1529,5,105,0,0,1529,1530,5,115,0,0,1530,1531,5,101, 0,0,1531,1532,5,95,0,0,1532,1533,5,97,0,0,1533,1534,5,110,0,0,1534, 1536,5,100,0,0,1535,1520,1,0,0,0,1535,1524,1,0,0,0,1536,224,1,0, 0,0,1537,1538,5,98,0,0,1538,1539,5,120,0,0,1539,1540,5,111,0,0,1540, 1553,5,114,0,0,1541,1542,5,98,0,0,1542,1543,5,105,0,0,1543,1544, 5,116,0,0,1544,1545,5,119,0,0,1545,1546,5,105,0,0,1546,1547,5,115, 0,0,1547,1548,5,101,0,0,1548,1549,5,95,0,0,1549,1550,5,120,0,0,1550, 1551,5,111,0,0,1551,1553,5,114,0,0,1552,1537,1,0,0,0,1552,1541,1, 0,0,0,1553,226,1,0,0,0,1554,1555,5,98,0,0,1555,1556,5,111,0,0,1556, 1568,5,114,0,0,1557,1558,5,98,0,0,1558,1559,5,105,0,0,1559,1560, 5,116,0,0,1560,1561,5,119,0,0,1561,1562,5,105,0,0,1562,1563,5,115, 0,0,1563,1564,5,101,0,0,1564,1565,5,95,0,0,1565,1566,5,111,0,0,1566, 1568,5,114,0,0,1567,1554,1,0,0,0,1567,1557,1,0,0,0,1568,228,1,0, 0,0,1569,1570,5,116,0,0,1570,1571,5,101,0,0,1571,1572,5,110,0,0, 1572,1573,5,115,0,0,1573,1574,5,111,0,0,1574,1575,5,114,0,0,1575, 230,1,0,0,0,1576,1577,5,97,0,0,1577,1578,5,100,0,0,1578,1579,5,100, 0,0,1579,1580,5,95,0,0,1580,1581,5,107,0,0,1581,1582,5,101,0,0,1582, 1583,5,121,0,0,1583,232,1,0,0,0,1584,1585,5,114,0,0,1585,1586,5, 101,0,0,1586,1587,5,109,0,0,1587,1588,5,111,0,0,1588,1589,5,118, 0,0,1589,1590,5,101,0,0,1590,1591,5,95,0,0,1591,1592,5,107,0,0,1592, 1593,5,101,0,0,1593,1601,5,121,0,0,1594,1595,5,114,0,0,1595,1596, 5,109,0,0,1596,1597,5,95,0,0,1597,1598,5,107,0,0,1598,1599,5,101, 0,0,1599,1601,5,121,0,0,1600,1584,1,0,0,0,1600,1594,1,0,0,0,1601, 234,1,0,0,0,1602,1603,5,115,0,0,1603,1604,5,116,0,0,1604,1605,5, 97,0,0,1605,1606,5,99,0,0,1606,1607,5,107,0,0,1607,1608,5,95,0,0, 1608,1609,5,112,0,0,1609,1610,5,117,0,0,1610,1611,5,115,0,0,1611, 1612,5,104,0,0,1612,236,1,0,0,0,1613,1614,5,115,0,0,1614,1615,5, 116,0,0,1615,1616,5,97,0,0,1616,1617,5,99,0,0,1617,1618,5,107,0, 0,1618,1619,5,95,0,0,1619,1620,5,112,0,0,1620,1621,5,111,0,0,1621, 1622,5,112,0,0,1622,238,1,0,0,0,1623,1624,5,115,0,0,1624,1625,5, 116,0,0,1625,1626,5,97,0,0,1626,1627,5,99,0,0,1627,1628,5,107,0, 0,1628,1629,5,95,0,0,1629,1630,5,99,0,0,1630,1631,5,108,0,0,1631, 1632,5,101,0,0,1632,1633,5,97,0,0,1633,1634,5,114,0,0,1634,240,1, 0,0,0,1635,1636,5,115,0,0,1636,1637,5,116,0,0,1637,1638,5,97,0,0, 1638,1639,5,99,0,0,1639,1640,5,107,0,0,1640,1641,5,95,0,0,1641,1642, 5,104,0,0,1642,1643,5,97,0,0,1643,1644,5,115,0,0,1644,242,1,0,0, 0,1645,1646,5,115,0,0,1646,1647,5,116,0,0,1647,1648,5,97,0,0,1648, 1649,5,99,0,0,1649,1650,5,107,0,0,1650,1651,5,95,0,0,1651,1652,5, 103,0,0,1652,1653,5,101,0,0,1653,1654,5,116,0,0,1654,244,1,0,0,0, 1655,1656,5,99,0,0,1656,1657,5,97,0,0,1657,1676,5,116,0,0,1658,1659, 5,99,0,0,1659,1660,5,111,0,0,1660,1661,5,110,0,0,1661,1662,5,99, 0,0,1662,1663,5,97,0,0,1663,1676,5,116,0,0,1664,1665,5,99,0,0,1665, 1666,5,111,0,0,1666,1667,5,110,0,0,1667,1668,5,99,0,0,1668,1669, 5,97,0,0,1669,1670,5,116,0,0,1670,1671,5,101,0,0,1671,1672,5,110, 0,0,1672,1673,5,97,0,0,1673,1674,5,116,0,0,1674,1676,5,101,0,0,1675, 1655,1,0,0,0,1675,1658,1,0,0,0,1675,1664,1,0,0,0,1676,246,1,0,0, 0,1677,1678,5,105,0,0,1678,1679,5,110,0,0,1679,1680,5,116,0,0,1680, 248,1,0,0,0,1681,1682,5,102,0,0,1682,1683,5,108,0,0,1683,1684,5, 111,0,0,1684,1685,5,97,0,0,1685,1686,5,116,0,0,1686,250,1,0,0,0, 1687,1688,5,117,0,0,1688,1689,5,112,0,0,1689,1690,5,112,0,0,1690, 1691,5,101,0,0,1691,1692,5,114,0,0,1692,252,1,0,0,0,1693,1694,5, 108,0,0,1694,1695,5,111,0,0,1695,1696,5,119,0,0,1696,1697,5,101, 0,0,1697,1698,5,114,0,0,1698,254,1,0,0,0,1699,1700,5,116,0,0,1700, 1701,5,114,0,0,1701,1702,5,105,0,0,1702,1703,5,109,0,0,1703,256, 1,0,0,0,1704,1705,5,115,0,0,1705,1706,5,112,0,0,1706,1707,5,108, 0,0,1707,1708,5,105,0,0,1708,1709,5,116,0,0,1709,258,1,0,0,0,1710, 1711,5,106,0,0,1711,1712,5,111,0,0,1712,1713,5,105,0,0,1713,1714, 5,110,0,0,1714,260,1,0,0,0,1715,1716,5,115,0,0,1716,1717,5,117,0, 0,1717,1718,5,98,0,0,1718,1719,5,115,0,0,1719,1720,5,116,0,0,1720, 1721,5,114,0,0,1721,1722,5,105,0,0,1722,1723,5,110,0,0,1723,1731, 5,103,0,0,1724,1725,5,115,0,0,1725,1726,5,117,0,0,1726,1727,5,98, 0,0,1727,1728,5,115,0,0,1728,1729,5,116,0,0,1729,1731,5,114,0,0, 1730,1715,1,0,0,0,1730,1724,1,0,0,0,1731,262,1,0,0,0,1732,1733,5, 102,0,0,1733,1734,5,105,0,0,1734,1735,5,110,0,0,1735,1736,5,100, 0,0,1736,264,1,0,0,0,1737,1738,5,114,0,0,1738,1739,5,101,0,0,1739, 1740,5,112,0,0,1740,1741,5,108,0,0,1741,1742,5,97,0,0,1742,1743, 5,99,0,0,1743,1744,5,101,0,0,1744,266,1,0,0,0,1745,1746,5,100,0, 0,1746,1747,5,105,0,0,1747,1748,5,108,0,0,1748,1749,5,97,0,0,1749, 1750,5,116,0,0,1750,1751,5,101,0,0,1751,268,1,0,0,0,1752,1753,5, 101,0,0,1753,1754,5,114,0,0,1754,1755,5,111,0,0,1755,1756,5,100, 0,0,1756,1757,5,101,0,0,1757,270,1,0,0,0,1758,1759,5,109,0,0,1759, 1760,5,111,0,0,1760,1761,5,114,0,0,1761,1762,5,112,0,0,1762,1763, 5,104,0,0,1763,1764,5,95,0,0,1764,1765,5,111,0,0,1765,1766,5,112, 0,0,1766,1767,5,101,0,0,1767,1768,5,110,0,0,1768,272,1,0,0,0,1769, 1770,5,109,0,0,1770,1771,5,111,0,0,1771,1772,5,114,0,0,1772,1773, 5,112,0,0,1773,1774,5,104,0,0,1774,1775,5,95,0,0,1775,1776,5,99, 0,0,1776,1777,5,108,0,0,1777,1778,5,111,0,0,1778,1779,5,115,0,0, 1779,1780,5,101,0,0,1780,274,1,0,0,0,1781,1782,5,114,0,0,1782,1783, 5,103,0,0,1783,1784,5,98,0,0,1784,1785,5,95,0,0,1785,1786,5,116, 0,0,1786,1787,5,111,0,0,1787,1788,5,95,0,0,1788,1789,5,111,0,0,1789, 1790,5,107,0,0,1790,1791,5,108,0,0,1791,1792,5,97,0,0,1792,1793, 5,98,0,0,1793,276,1,0,0,0,1794,1795,5,114,0,0,1795,1796,5,103,0, 0,1796,1797,5,98,0,0,1797,1798,5,95,0,0,1798,1799,5,116,0,0,1799, 1800,5,111,0,0,1800,1801,5,95,0,0,1801,1802,5,99,0,0,1802,1803,5, 105,0,0,1803,1804,5,101,0,0,1804,1805,5,108,0,0,1805,1806,5,97,0, 0,1806,1807,5,98,0,0,1807,278,1,0,0,0,1808,1809,5,111,0,0,1809,1810, 5,107,0,0,1810,1811,5,108,0,0,1811,1812,5,97,0,0,1812,1813,5,98, 0,0,1813,1814,5,95,0,0,1814,1815,5,116,0,0,1815,1816,5,111,0,0,1816, 1817,5,95,0,0,1817,1818,5,114,0,0,1818,1819,5,103,0,0,1819,1820, 5,98,0,0,1820,280,1,0,0,0,1821,1822,5,99,0,0,1822,1823,5,105,0,0, 1823,1824,5,101,0,0,1824,1825,5,108,0,0,1825,1826,5,97,0,0,1826, 1827,5,98,0,0,1827,1828,5,95,0,0,1828,1829,5,116,0,0,1829,1830,5, 111,0,0,1830,1831,5,95,0,0,1831,1832,5,114,0,0,1832,1833,5,103,0, 0,1833,1834,5,98,0,0,1834,282,1,0,0,0,1835,1836,5,114,0,0,1836,1837, 5,103,0,0,1837,1838,5,98,0,0,1838,1839,5,95,0,0,1839,1840,5,116, 0,0,1840,1841,5,111,0,0,1841,1842,5,95,0,0,1842,1843,5,104,0,0,1843, 1844,5,115,0,0,1844,1845,5,118,0,0,1845,284,1,0,0,0,1846,1847,5, 104,0,0,1847,1848,5,115,0,0,1848,1849,5,118,0,0,1849,1850,5,95,0, 0,1850,1851,5,116,0,0,1851,1852,5,111,0,0,1852,1853,5,95,0,0,1853, 1854,5,114,0,0,1854,1855,5,103,0,0,1855,1856,5,98,0,0,1856,286,1, 0,0,0,1857,1858,5,105,0,0,1858,1859,5,110,0,0,1859,1860,5,116,0, 0,1860,1861,5,95,0,0,1861,1862,5,116,0,0,1862,1863,5,111,0,0,1863, 1864,5,95,0,0,1864,1865,5,114,0,0,1865,1866,5,103,0,0,1866,1867, 5,98,0,0,1867,288,1,0,0,0,1868,1869,5,114,0,0,1869,1870,5,103,0, 0,1870,1871,5,98,0,0,1871,1872,5,95,0,0,1872,1873,5,116,0,0,1873, 1874,5,111,0,0,1874,1875,5,95,0,0,1875,1876,5,105,0,0,1876,1877, 5,110,0,0,1877,1878,5,116,0,0,1878,290,1,0,0,0,1879,1880,5,105,0, 0,1880,1881,5,110,0,0,1881,1882,5,116,0,0,1882,1883,5,101,0,0,1883, 1884,5,114,0,0,1884,1885,5,112,0,0,1885,1886,5,111,0,0,1886,1887, 5,108,0,0,1887,1888,5,97,0,0,1888,1889,5,116,0,0,1889,1890,5,101, 0,0,1890,1891,5,95,0,0,1891,1892,5,108,0,0,1892,1893,5,105,0,0,1893, 1894,5,110,0,0,1894,1895,5,101,0,0,1895,1896,5,97,0,0,1896,1897, 5,114,0,0,1897,292,1,0,0,0,1898,1899,5,105,0,0,1899,1900,5,110,0, 0,1900,1901,5,116,0,0,1901,1902,5,101,0,0,1902,1903,5,114,0,0,1903, 1904,5,112,0,0,1904,1905,5,111,0,0,1905,1906,5,108,0,0,1906,1907, 5,97,0,0,1907,1908,5,116,0,0,1908,1909,5,101,0,0,1909,1910,5,95, 0,0,1910,1911,5,97,0,0,1911,1912,5,114,0,0,1912,1913,5,101,0,0,1913, 1914,5,97,0,0,1914,294,1,0,0,0,1915,1916,5,105,0,0,1916,1917,5,110, 0,0,1917,1918,5,116,0,0,1918,1919,5,101,0,0,1919,1920,5,114,0,0, 1920,1921,5,112,0,0,1921,1922,5,111,0,0,1922,1923,5,108,0,0,1923, 1924,5,97,0,0,1924,1925,5,116,0,0,1925,1926,5,101,0,0,1926,1927, 5,95,0,0,1927,1928,5,110,0,0,1928,1929,5,101,0,0,1929,1930,5,97, 0,0,1930,1931,5,114,0,0,1931,1932,5,101,0,0,1932,1933,5,115,0,0, 1933,1960,5,116,0,0,1934,1935,5,105,0,0,1935,1936,5,110,0,0,1936, 1937,5,116,0,0,1937,1938,5,101,0,0,1938,1939,5,114,0,0,1939,1940, 5,112,0,0,1940,1941,5,111,0,0,1941,1942,5,108,0,0,1942,1943,5,97, 0,0,1943,1944,5,116,0,0,1944,1945,5,101,0,0,1945,1946,5,95,0,0,1946, 1947,5,110,0,0,1947,1948,5,101,0,0,1948,1949,5,97,0,0,1949,1950, 5,114,0,0,1950,1951,5,101,0,0,1951,1952,5,115,0,0,1952,1953,5,116, 0,0,1953,1954,5,95,0,0,1954,1955,5,101,0,0,1955,1956,5,120,0,0,1956, 1957,5,97,0,0,1957,1958,5,99,0,0,1958,1960,5,116,0,0,1959,1915,1, 0,0,0,1959,1934,1,0,0,0,1960,296,1,0,0,0,1961,1962,5,116,0,0,1962, 1963,5,101,0,0,1963,1964,5,120,0,0,1964,1965,5,116,0,0,1965,1966, 5,95,0,0,1966,1967,5,105,0,0,1967,1968,5,109,0,0,1968,1969,5,97, 0,0,1969,1970,5,103,0,0,1970,1971,5,101,0,0,1971,298,1,0,0,0,1972, 1973,5,97,0,0,1973,1974,5,115,0,0,1974,1975,5,95,0,0,1975,1976,5, 110,0,0,1976,1977,5,101,0,0,1977,1978,5,115,0,0,1978,1979,5,116, 0,0,1979,1980,5,101,0,0,1980,1981,5,100,0,0,1981,1982,5,95,0,0,1982, 1983,5,116,0,0,1983,1984,5,101,0,0,1984,1985,5,110,0,0,1985,1986, 5,115,0,0,1986,1987,5,111,0,0,1987,1998,5,114,0,0,1988,1989,5,97, 0,0,1989,1990,5,115,0,0,1990,1991,5,95,0,0,1991,1992,5,110,0,0,1992, 1993,5,101,0,0,1993,1994,5,115,0,0,1994,1995,5,116,0,0,1995,1996, 5,101,0,0,1996,1998,5,100,0,0,1997,1972,1,0,0,0,1997,1988,1,0,0, 0,1998,300,1,0,0,0,1999,2000,5,115,0,0,2000,2001,5,118,0,0,2001, 2031,5,100,0,0,2002,2003,5,115,0,0,2003,2004,5,105,0,0,2004,2005, 5,110,0,0,2005,2006,5,103,0,0,2006,2007,5,117,0,0,2007,2008,5,108, 0,0,2008,2009,5,97,0,0,2009,2010,5,114,0,0,2010,2011,5,95,0,0,2011, 2012,5,118,0,0,2012,2013,5,97,0,0,2013,2014,5,108,0,0,2014,2015, 5,117,0,0,2015,2016,5,101,0,0,2016,2017,5,95,0,0,2017,2018,5,100, 0,0,2018,2019,5,101,0,0,2019,2020,5,99,0,0,2020,2021,5,111,0,0,2021, 2022,5,109,0,0,2022,2023,5,112,0,0,2023,2024,5,111,0,0,2024,2025, 5,115,0,0,2025,2026,5,105,0,0,2026,2027,5,116,0,0,2027,2028,5,105, 0,0,2028,2029,5,111,0,0,2029,2031,5,110,0,0,2030,1999,1,0,0,0,2030, 2002,1,0,0,0,2031,302,1,0,0,0,2032,2033,5,100,0,0,2033,2034,5,105, 0,0,2034,2035,5,97,0,0,2035,2036,5,103,0,0,2036,2037,5,111,0,0,2037, 2038,5,110,0,0,2038,2039,5,97,0,0,2039,2040,5,108,0,0,2040,2041, 5,95,0,0,2041,2042,5,109,0,0,2042,2043,5,97,0,0,2043,2044,5,116, 0,0,2044,2045,5,114,0,0,2045,2046,5,105,0,0,2046,2052,5,120,0,0, 2047,2048,5,100,0,0,2048,2049,5,105,0,0,2049,2050,5,97,0,0,2050, 2052,5,103,0,0,2051,2032,1,0,0,0,2051,2047,1,0,0,0,2052,304,1,0, 0,0,2053,2054,5,105,0,0,2054,2055,5,102,0,0,2055,306,1,0,0,0,2056, 2057,5,101,0,0,2057,2058,5,108,0,0,2058,2059,5,115,0,0,2059,2060, 5,101,0,0,2060,308,1,0,0,0,2061,2062,5,119,0,0,2062,2063,5,104,0, 0,2063,2064,5,105,0,0,2064,2065,5,108,0,0,2065,2066,5,101,0,0,2066, 310,1,0,0,0,2067,2068,5,102,0,0,2068,2069,5,111,0,0,2069,2070,5, 114,0,0,2070,312,1,0,0,0,2071,2072,5,105,0,0,2072,2073,5,110,0,0, 2073,314,1,0,0,0,2074,2075,5,98,0,0,2075,2076,5,114,0,0,2076,2077, 5,101,0,0,2077,2078,5,97,0,0,2078,2079,5,107,0,0,2079,316,1,0,0, 0,2080,2081,5,99,0,0,2081,2082,5,111,0,0,2082,2083,5,110,0,0,2083, 2084,5,116,0,0,2084,2085,5,105,0,0,2085,2086,5,110,0,0,2086,2087, 5,117,0,0,2087,2088,5,101,0,0,2088,318,1,0,0,0,2089,2090,5,114,0, 0,2090,2091,5,101,0,0,2091,2092,5,116,0,0,2092,2093,5,117,0,0,2093, 2094,5,114,0,0,2094,2095,5,110,0,0,2095,320,1,0,0,0,2096,2097,5, 116,0,0,2097,2098,5,105,0,0,2098,2099,5,109,0,0,2099,2100,5,101, 0,0,2100,2101,5,115,0,0,2101,2102,5,116,0,0,2102,2103,5,97,0,0,2103, 2104,5,109,0,0,2104,2109,5,112,0,0,2105,2106,5,110,0,0,2106,2107, 5,111,0,0,2107,2109,5,119,0,0,2108,2096,1,0,0,0,2108,2105,1,0,0, 0,2109,322,1,0,0,0,2110,2111,5,115,0,0,2111,2112,5,111,0,0,2112, 2113,5,114,0,0,2113,2114,5,116,0,0,2114,324,1,0,0,0,2115,2116,5, 97,0,0,2116,2117,5,114,0,0,2117,2118,5,103,0,0,2118,2119,5,115,0, 0,2119,2120,5,111,0,0,2120,2121,5,114,0,0,2121,2122,5,116,0,0,2122, 326,1,0,0,0,2123,2124,5,97,0,0,2124,2125,5,114,0,0,2125,2126,5,103, 0,0,2126,2127,5,109,0,0,2127,2128,5,105,0,0,2128,2129,5,110,0,0, 2129,328,1,0,0,0,2130,2131,5,97,0,0,2131,2132,5,114,0,0,2132,2133, 5,103,0,0,2133,2134,5,109,0,0,2134,2135,5,97,0,0,2135,2136,5,120, 0,0,2136,330,1,0,0,0,2137,2138,5,115,0,0,2138,2139,5,111,0,0,2139, 2140,5,102,0,0,2140,2141,5,116,0,0,2141,2142,5,109,0,0,2142,2143, 5,97,0,0,2143,2144,5,120,0,0,2144,332,1,0,0,0,2145,2146,5,115,0, 0,2146,2147,5,111,0,0,2147,2148,5,102,0,0,2148,2149,5,116,0,0,2149, 2150,5,109,0,0,2150,2151,5,105,0,0,2151,2152,5,110,0,0,2152,334, 1,0,0,0,2153,2154,5,117,0,0,2154,2155,5,110,0,0,2155,2156,5,105, 0,0,2156,2157,5,113,0,0,2157,2158,5,117,0,0,2158,2159,5,101,0,0, 2159,336,1,0,0,0,2160,2161,5,102,0,0,2161,2162,5,108,0,0,2162,2163, 5,105,0,0,2163,2164,5,112,0,0,2164,338,1,0,0,0,2165,2166,5,115,0, 0,2166,2167,5,116,0,0,2167,2168,5,97,0,0,2168,2169,5,114,0,0,2169, 2170,5,116,0,0,2170,2171,5,115,0,0,2171,2172,5,119,0,0,2172,2173, 5,105,0,0,2173,2174,5,116,0,0,2174,2175,5,104,0,0,2175,340,1,0,0, 0,2176,2177,5,101,0,0,2177,2178,5,110,0,0,2178,2179,5,100,0,0,2179, 2180,5,115,0,0,2180,2181,5,119,0,0,2181,2182,5,105,0,0,2182,2183, 5,116,0,0,2183,2184,5,104,0,0,2184,342,1,0,0,0,2185,2186,5,115,0, 0,2186,2187,5,113,0,0,2187,2188,5,117,0,0,2188,2189,5,101,0,0,2189, 2190,5,101,0,0,2190,2191,5,122,0,0,2191,2192,5,101,0,0,2192,344, 1,0,0,0,2193,2194,5,117,0,0,2194,2195,5,110,0,0,2195,2196,5,115, 0,0,2196,2197,5,113,0,0,2197,2198,5,117,0,0,2198,2199,5,101,0,0, 2199,2200,5,101,0,0,2200,2201,5,122,0,0,2201,2202,5,101,0,0,2202, 346,1,0,0,0,2203,2204,5,114,0,0,2204,2205,5,111,0,0,2205,2206,5, 108,0,0,2206,2207,5,108,0,0,2207,348,1,0,0,0,2208,2209,5,99,0,0, 2209,2210,5,111,0,0,2210,2211,5,118,0,0,2211,350,1,0,0,0,2212,2213, 5,99,0,0,2213,2214,5,111,0,0,2214,2215,5,114,0,0,2215,2228,5,114, 0,0,2216,2217,5,99,0,0,2217,2218,5,111,0,0,2218,2219,5,114,0,0,2219, 2220,5,114,0,0,2220,2221,5,101,0,0,2221,2222,5,108,0,0,2222,2223, 5,97,0,0,2223,2224,5,116,0,0,2224,2225,5,105,0,0,2225,2226,5,111, 0,0,2226,2228,5,110,0,0,2227,2212,1,0,0,0,2227,2216,1,0,0,0,2228, 352,1,0,0,0,2229,2230,5,101,0,0,2230,2231,5,110,0,0,2231,2232,5, 116,0,0,2232,2233,5,114,0,0,2233,2234,5,111,0,0,2234,2235,5,112, 0,0,2235,2236,5,121,0,0,2236,354,1,0,0,0,2237,2238,5,99,0,0,2238, 2239,5,114,0,0,2239,2240,5,111,0,0,2240,2241,5,112,0,0,2241,356, 1,0,0,0,2242,2243,5,110,0,0,2243,2244,5,111,0,0,2244,2245,5,110, 0,0,2245,2259,5,101,0,0,2246,2247,5,78,0,0,2247,2248,5,111,0,0,2248, 2249,5,110,0,0,2249,2259,5,101,0,0,2250,2251,5,110,0,0,2251,2252, 5,117,0,0,2252,2253,5,108,0,0,2253,2259,5,108,0,0,2254,2255,5,78, 0,0,2255,2256,5,85,0,0,2256,2257,5,76,0,0,2257,2259,5,76,0,0,2258, 2242,1,0,0,0,2258,2246,1,0,0,0,2258,2250,1,0,0,0,2258,2254,1,0,0, 0,2259,358,1,0,0,0,2260,2261,5,99,0,0,2261,2262,5,111,0,0,2262,2263, 5,111,0,0,2263,2264,5,114,0,0,2264,2265,5,100,0,0,2265,2278,5,115, 0,0,2266,2267,5,99,0,0,2267,2268,5,111,0,0,2268,2269,5,111,0,0,2269, 2270,5,114,0,0,2270,2271,5,100,0,0,2271,2272,5,105,0,0,2272,2273, 5,110,0,0,2273,2274,5,97,0,0,2274,2275,5,116,0,0,2275,2276,5,101, 0,0,2276,2278,5,115,0,0,2277,2260,1,0,0,0,2277,2266,1,0,0,0,2278, 360,1,0,0,0,2279,2280,5,110,0,0,2280,2281,5,111,0,0,2281,2282,5, 105,0,0,2282,2283,5,115,0,0,2283,2303,5,101,0,0,2284,2285,5,114, 0,0,2285,2286,5,97,0,0,2286,2287,5,110,0,0,2287,2288,5,100,0,0,2288, 2303,5,110,0,0,2289,2290,5,114,0,0,2290,2291,5,97,0,0,2291,2292, 5,110,0,0,2292,2293,5,100,0,0,2293,2294,5,111,0,0,2294,2295,5,109, 0,0,2295,2296,5,95,0,0,2296,2297,5,110,0,0,2297,2298,5,111,0,0,2298, 2299,5,114,0,0,2299,2300,5,109,0,0,2300,2301,5,97,0,0,2301,2303, 5,108,0,0,2302,2279,1,0,0,0,2302,2284,1,0,0,0,2302,2289,1,0,0,0, 2303,362,1,0,0,0,2304,2305,5,114,0,0,2305,2306,5,97,0,0,2306,2307, 5,110,0,0,2307,2328,5,100,0,0,2308,2309,5,114,0,0,2309,2310,5,97, 0,0,2310,2311,5,110,0,0,2311,2312,5,100,0,0,2312,2328,5,117,0,0, 2313,2314,5,114,0,0,2314,2315,5,97,0,0,2315,2316,5,110,0,0,2316, 2317,5,100,0,0,2317,2318,5,111,0,0,2318,2319,5,109,0,0,2319,2320, 5,95,0,0,2320,2321,5,117,0,0,2321,2322,5,110,0,0,2322,2323,5,105, 0,0,2323,2324,5,102,0,0,2324,2325,5,111,0,0,2325,2326,5,114,0,0, 2326,2328,5,109,0,0,2327,2304,1,0,0,0,2327,2308,1,0,0,0,2327,2313, 1,0,0,0,2328,364,1,0,0,0,2329,2330,5,114,0,0,2330,2331,5,97,0,0, 2331,2332,5,110,0,0,2332,2333,5,100,0,0,2333,2348,5,99,0,0,2334, 2335,5,114,0,0,2335,2336,5,97,0,0,2336,2337,5,110,0,0,2337,2338, 5,100,0,0,2338,2339,5,111,0,0,2339,2340,5,109,0,0,2340,2341,5,95, 0,0,2341,2342,5,99,0,0,2342,2343,5,97,0,0,2343,2344,5,117,0,0,2344, 2345,5,99,0,0,2345,2346,5,104,0,0,2346,2348,5,121,0,0,2347,2329, 1,0,0,0,2347,2334,1,0,0,0,2348,366,1,0,0,0,2349,2350,5,114,0,0,2350, 2351,5,97,0,0,2351,2352,5,110,0,0,2352,2353,5,100,0,0,2353,2373, 5,101,0,0,2354,2355,5,114,0,0,2355,2356,5,97,0,0,2356,2357,5,110, 0,0,2357,2358,5,100,0,0,2358,2359,5,111,0,0,2359,2360,5,109,0,0, 2360,2361,5,95,0,0,2361,2362,5,101,0,0,2362,2363,5,120,0,0,2363, 2364,5,112,0,0,2364,2365,5,111,0,0,2365,2366,5,110,0,0,2366,2367, 5,101,0,0,2367,2368,5,110,0,0,2368,2369,5,116,0,0,2369,2370,5,105, 0,0,2370,2371,5,97,0,0,2371,2373,5,108,0,0,2372,2349,1,0,0,0,2372, 2354,1,0,0,0,2373,368,1,0,0,0,2374,2375,5,114,0,0,2375,2376,5,97, 0,0,2376,2377,5,110,0,0,2377,2378,5,100,0,0,2378,2379,5,108,0,0, 2379,2398,5,110,0,0,2380,2381,5,114,0,0,2381,2382,5,97,0,0,2382, 2383,5,110,0,0,2383,2384,5,100,0,0,2384,2385,5,111,0,0,2385,2386, 5,109,0,0,2386,2387,5,95,0,0,2387,2388,5,108,0,0,2388,2389,5,111, 0,0,2389,2390,5,103,0,0,2390,2391,5,95,0,0,2391,2392,5,110,0,0,2392, 2393,5,111,0,0,2393,2394,5,114,0,0,2394,2395,5,109,0,0,2395,2396, 5,97,0,0,2396,2398,5,108,0,0,2397,2374,1,0,0,0,2397,2380,1,0,0,0, 2398,370,1,0,0,0,2399,2400,5,114,0,0,2400,2401,5,97,0,0,2401,2402, 5,110,0,0,2402,2403,5,100,0,0,2403,2421,5,98,0,0,2404,2405,5,114, 0,0,2405,2406,5,97,0,0,2406,2407,5,110,0,0,2407,2408,5,100,0,0,2408, 2409,5,111,0,0,2409,2410,5,109,0,0,2410,2411,5,95,0,0,2411,2412, 5,98,0,0,2412,2413,5,101,0,0,2413,2414,5,114,0,0,2414,2415,5,110, 0,0,2415,2416,5,111,0,0,2416,2417,5,117,0,0,2417,2418,5,108,0,0, 2418,2419,5,108,0,0,2419,2421,5,105,0,0,2420,2399,1,0,0,0,2420,2404, 1,0,0,0,2421,372,1,0,0,0,2422,2423,5,114,0,0,2423,2424,5,97,0,0, 2424,2425,5,110,0,0,2425,2426,5,100,0,0,2426,2442,5,112,0,0,2427, 2428,5,114,0,0,2428,2429,5,97,0,0,2429,2430,5,110,0,0,2430,2431, 5,100,0,0,2431,2432,5,111,0,0,2432,2433,5,109,0,0,2433,2434,5,95, 0,0,2434,2435,5,112,0,0,2435,2436,5,111,0,0,2436,2437,5,105,0,0, 2437,2438,5,115,0,0,2438,2439,5,115,0,0,2439,2440,5,111,0,0,2440, 2442,5,110,0,0,2441,2422,1,0,0,0,2441,2427,1,0,0,0,2442,374,1,0, 0,0,2443,2444,5,114,0,0,2444,2445,5,97,0,0,2445,2446,5,110,0,0,2446, 2447,5,100,0,0,2447,2461,5,103,0,0,2448,2449,5,114,0,0,2449,2450, 5,97,0,0,2450,2451,5,110,0,0,2451,2452,5,100,0,0,2452,2453,5,111, 0,0,2453,2454,5,109,0,0,2454,2455,5,95,0,0,2455,2456,5,103,0,0,2456, 2457,5,97,0,0,2457,2458,5,109,0,0,2458,2459,5,109,0,0,2459,2461, 5,97,0,0,2460,2443,1,0,0,0,2460,2448,1,0,0,0,2461,376,1,0,0,0,2462, 2463,5,114,0,0,2463,2464,5,97,0,0,2464,2465,5,110,0,0,2465,2466, 5,100,0,0,2466,2467,5,98,0,0,2467,2468,5,101,0,0,2468,2469,5,116, 0,0,2469,2482,5,97,0,0,2470,2471,5,114,0,0,2471,2472,5,97,0,0,2472, 2473,5,110,0,0,2473,2474,5,100,0,0,2474,2475,5,111,0,0,2475,2476, 5,109,0,0,2476,2477,5,95,0,0,2477,2478,5,98,0,0,2478,2479,5,101, 0,0,2479,2480,5,116,0,0,2480,2482,5,97,0,0,2481,2462,1,0,0,0,2481, 2470,1,0,0,0,2482,378,1,0,0,0,2483,2484,5,114,0,0,2484,2485,5,97, 0,0,2485,2486,5,110,0,0,2486,2487,5,100,0,0,2487,2503,5,108,0,0, 2488,2489,5,114,0,0,2489,2490,5,97,0,0,2490,2491,5,110,0,0,2491, 2492,5,100,0,0,2492,2493,5,111,0,0,2493,2494,5,109,0,0,2494,2495, 5,95,0,0,2495,2496,5,108,0,0,2496,2497,5,97,0,0,2497,2498,5,112, 0,0,2498,2499,5,108,0,0,2499,2500,5,97,0,0,2500,2501,5,99,0,0,2501, 2503,5,101,0,0,2502,2483,1,0,0,0,2502,2488,1,0,0,0,2503,380,1,0, 0,0,2504,2505,5,114,0,0,2505,2506,5,97,0,0,2506,2507,5,110,0,0,2507, 2508,5,100,0,0,2508,2509,5,103,0,0,2509,2510,5,117,0,0,2510,2511, 5,109,0,0,2511,2512,5,98,0,0,2512,2513,5,101,0,0,2513,2528,5,108, 0,0,2514,2515,5,114,0,0,2515,2516,5,97,0,0,2516,2517,5,110,0,0,2517, 2518,5,100,0,0,2518,2519,5,111,0,0,2519,2520,5,109,0,0,2520,2521, 5,95,0,0,2521,2522,5,103,0,0,2522,2523,5,117,0,0,2523,2524,5,109, 0,0,2524,2525,5,98,0,0,2525,2526,5,101,0,0,2526,2528,5,108,0,0,2527, 2504,1,0,0,0,2527,2514,1,0,0,0,2528,382,1,0,0,0,2529,2530,5,114, 0,0,2530,2531,5,97,0,0,2531,2532,5,110,0,0,2532,2533,5,100,0,0,2533, 2549,5,119,0,0,2534,2535,5,114,0,0,2535,2536,5,97,0,0,2536,2537, 5,110,0,0,2537,2538,5,100,0,0,2538,2539,5,111,0,0,2539,2540,5,109, 0,0,2540,2541,5,95,0,0,2541,2542,5,119,0,0,2542,2543,5,101,0,0,2543, 2544,5,105,0,0,2544,2545,5,98,0,0,2545,2546,5,117,0,0,2546,2547, 5,108,0,0,2547,2549,5,108,0,0,2548,2529,1,0,0,0,2548,2534,1,0,0, 0,2549,384,1,0,0,0,2550,2551,5,114,0,0,2551,2552,5,97,0,0,2552,2553, 5,110,0,0,2553,2554,5,100,0,0,2554,2555,5,99,0,0,2555,2556,5,104, 0,0,2556,2557,5,105,0,0,2557,2570,5,50,0,0,2558,2559,5,114,0,0,2559, 2560,5,97,0,0,2560,2561,5,110,0,0,2561,2562,5,100,0,0,2562,2563, 5,111,0,0,2563,2564,5,109,0,0,2564,2565,5,95,0,0,2565,2566,5,99, 0,0,2566,2567,5,104,0,0,2567,2568,5,105,0,0,2568,2570,5,50,0,0,2569, 2550,1,0,0,0,2569,2558,1,0,0,0,2570,386,1,0,0,0,2571,2572,5,114, 0,0,2572,2573,5,97,0,0,2573,2574,5,110,0,0,2574,2575,5,100,0,0,2575, 2592,5,116,0,0,2576,2577,5,114,0,0,2577,2578,5,97,0,0,2578,2579, 5,110,0,0,2579,2580,5,100,0,0,2580,2581,5,111,0,0,2581,2582,5,109, 0,0,2582,2583,5,95,0,0,2583,2584,5,115,0,0,2584,2585,5,116,0,0,2585, 2586,5,117,0,0,2586,2587,5,100,0,0,2587,2588,5,101,0,0,2588,2589, 5,110,0,0,2589,2590,5,116,0,0,2590,2592,5,116,0,0,2591,2571,1,0, 0,0,2591,2576,1,0,0,0,2592,388,1,0,0,0,2593,2594,5,112,0,0,2594, 2595,5,101,0,0,2595,2596,5,114,0,0,2596,2597,5,108,0,0,2597,2598, 5,105,0,0,2598,2612,5,110,0,0,2599,2600,5,112,0,0,2600,2601,5,101, 0,0,2601,2602,5,114,0,0,2602,2603,5,108,0,0,2603,2604,5,105,0,0, 2604,2605,5,110,0,0,2605,2606,5,95,0,0,2606,2607,5,110,0,0,2607, 2608,5,111,0,0,2608,2609,5,105,0,0,2609,2610,5,115,0,0,2610,2612, 5,101,0,0,2611,2593,1,0,0,0,2611,2599,1,0,0,0,2612,390,1,0,0,0,2613, 2614,5,99,0,0,2614,2615,5,101,0,0,2615,2616,5,108,0,0,2616,2617, 5,108,0,0,2617,2618,5,117,0,0,2618,2619,5,108,0,0,2619,2620,5,97, 0,0,2620,2662,5,114,0,0,2621,2622,5,118,0,0,2622,2623,5,111,0,0, 2623,2624,5,114,0,0,2624,2625,5,111,0,0,2625,2626,5,110,0,0,2626, 2627,5,111,0,0,2627,2662,5,105,0,0,2628,2629,5,119,0,0,2629,2630, 5,111,0,0,2630,2631,5,114,0,0,2631,2632,5,108,0,0,2632,2633,5,101, 0,0,2633,2662,5,121,0,0,2634,2635,5,99,0,0,2635,2636,5,101,0,0,2636, 2637,5,108,0,0,2637,2638,5,108,0,0,2638,2639,5,117,0,0,2639,2640, 5,108,0,0,2640,2641,5,97,0,0,2641,2642,5,114,0,0,2642,2643,5,95, 0,0,2643,2644,5,110,0,0,2644,2645,5,111,0,0,2645,2646,5,105,0,0, 2646,2647,5,115,0,0,2647,2662,5,101,0,0,2648,2649,5,118,0,0,2649, 2650,5,111,0,0,2650,2651,5,114,0,0,2651,2652,5,111,0,0,2652,2653, 5,110,0,0,2653,2654,5,111,0,0,2654,2655,5,105,0,0,2655,2656,5,95, 0,0,2656,2657,5,110,0,0,2657,2658,5,111,0,0,2658,2659,5,105,0,0, 2659,2660,5,115,0,0,2660,2662,5,101,0,0,2661,2613,1,0,0,0,2661,2621, 1,0,0,0,2661,2628,1,0,0,0,2661,2634,1,0,0,0,2661,2648,1,0,0,0,2662, 392,1,0,0,0,2663,2664,5,112,0,0,2664,2665,5,108,0,0,2665,2666,5, 97,0,0,2666,2667,5,115,0,0,2667,2668,5,109,0,0,2668,2692,5,97,0, 0,2669,2670,5,116,0,0,2670,2671,5,117,0,0,2671,2672,5,114,0,0,2672, 2673,5,98,0,0,2673,2674,5,117,0,0,2674,2675,5,108,0,0,2675,2676, 5,101,0,0,2676,2677,5,110,0,0,2677,2678,5,99,0,0,2678,2692,5,101, 0,0,2679,2680,5,112,0,0,2680,2681,5,108,0,0,2681,2682,5,97,0,0,2682, 2683,5,115,0,0,2683,2684,5,109,0,0,2684,2685,5,97,0,0,2685,2686, 5,95,0,0,2686,2687,5,110,0,0,2687,2688,5,111,0,0,2688,2689,5,105, 0,0,2689,2690,5,115,0,0,2690,2692,5,101,0,0,2691,2663,1,0,0,0,2691, 2669,1,0,0,0,2691,2679,1,0,0,0,2692,394,1,0,0,0,2693,2694,5,114, 0,0,2694,2695,5,105,0,0,2695,2696,5,100,0,0,2696,2697,5,103,0,0, 2697,2698,5,101,0,0,2698,2712,5,100,0,0,2699,2700,5,114,0,0,2700, 2701,5,105,0,0,2701,2702,5,100,0,0,2702,2703,5,103,0,0,2703,2704, 5,101,0,0,2704,2705,5,100,0,0,2705,2706,5,95,0,0,2706,2707,5,110, 0,0,2707,2708,5,111,0,0,2708,2709,5,105,0,0,2709,2710,5,115,0,0, 2710,2712,5,101,0,0,2711,2693,1,0,0,0,2711,2699,1,0,0,0,2712,396, 1,0,0,0,2713,2714,5,100,0,0,2714,2715,5,111,0,0,2715,2716,5,109, 0,0,2716,2717,5,97,0,0,2717,2718,5,105,0,0,2718,2719,5,110,0,0,2719, 2720,5,95,0,0,2720,2721,5,119,0,0,2721,2722,5,97,0,0,2722,2723,5, 114,0,0,2723,2742,5,112,0,0,2724,2725,5,100,0,0,2725,2726,5,111, 0,0,2726,2727,5,109,0,0,2727,2728,5,97,0,0,2728,2729,5,105,0,0,2729, 2730,5,110,0,0,2730,2731,5,95,0,0,2731,2732,5,119,0,0,2732,2733, 5,97,0,0,2733,2734,5,114,0,0,2734,2735,5,112,0,0,2735,2736,5,95, 0,0,2736,2737,5,110,0,0,2737,2738,5,111,0,0,2738,2739,5,105,0,0, 2739,2740,5,115,0,0,2740,2742,5,101,0,0,2741,2713,1,0,0,0,2741,2724, 1,0,0,0,2742,398,1,0,0,0,2743,2744,5,43,0,0,2744,400,1,0,0,0,2745, 2746,5,45,0,0,2746,402,1,0,0,0,2747,2748,5,42,0,0,2748,404,1,0,0, 0,2749,2750,5,47,0,0,2750,406,1,0,0,0,2751,2752,5,37,0,0,2752,408, 1,0,0,0,2753,2754,5,94,0,0,2754,410,1,0,0,0,2755,2756,5,60,0,0,2756, 2757,5,60,0,0,2757,412,1,0,0,0,2758,2759,5,62,0,0,2759,2760,5,62, 0,0,2760,414,1,0,0,0,2761,2762,5,62,0,0,2762,2763,5,61,0,0,2763, 416,1,0,0,0,2764,2765,5,62,0,0,2765,418,1,0,0,0,2766,2767,5,60,0, 0,2767,2768,5,61,0,0,2768,420,1,0,0,0,2769,2770,5,60,0,0,2770,422, 1,0,0,0,2771,2772,5,61,0,0,2772,2773,5,61,0,0,2773,424,1,0,0,0,2774, 2775,5,61,0,0,2775,426,1,0,0,0,2776,2777,5,43,0,0,2777,2778,5,61, 0,0,2778,428,1,0,0,0,2779,2780,5,45,0,0,2780,2781,5,61,0,0,2781, 430,1,0,0,0,2782,2783,5,42,0,0,2783,2784,5,61,0,0,2784,432,1,0,0, 0,2785,2786,5,47,0,0,2786,2787,5,61,0,0,2787,434,1,0,0,0,2788,2789, 5,37,0,0,2789,2790,5,61,0,0,2790,436,1,0,0,0,2791,2792,5,33,0,0, 2792,2793,5,61,0,0,2793,438,1,0,0,0,2794,2795,5,124,0,0,2795,440, 1,0,0,0,2796,2797,5,40,0,0,2797,442,1,0,0,0,2798,2799,5,41,0,0,2799, 444,1,0,0,0,2800,2801,5,44,0,0,2801,446,1,0,0,0,2802,2803,5,59,0, 0,2803,448,1,0,0,0,2804,2805,5,45,0,0,2805,2806,5,62,0,0,2806,450, 1,0,0,0,2807,2808,5,91,0,0,2808,452,1,0,0,0,2809,2810,5,93,0,0,2810, 454,1,0,0,0,2811,2812,5,63,0,0,2812,456,1,0,0,0,2813,2814,5,58,0, 0,2814,458,1,0,0,0,2815,2816,5,123,0,0,2816,460,1,0,0,0,2817,2818, 5,125,0,0,2818,462,1,0,0,0,2819,2821,7,0,0,0,2820,2819,1,0,0,0,2821, 2822,1,0,0,0,2822,2820,1,0,0,0,2822,2823,1,0,0,0,2823,2831,1,0,0, 0,2824,2828,5,46,0,0,2825,2827,7,0,0,0,2826,2825,1,0,0,0,2827,2830, 1,0,0,0,2828,2826,1,0,0,0,2828,2829,1,0,0,0,2829,2832,1,0,0,0,2830, 2828,1,0,0,0,2831,2824,1,0,0,0,2831,2832,1,0,0,0,2832,2840,1,0,0, 0,2833,2835,5,46,0,0,2834,2836,7,0,0,0,2835,2834,1,0,0,0,2836,2837, 1,0,0,0,2837,2835,1,0,0,0,2837,2838,1,0,0,0,2838,2840,1,0,0,0,2839, 2820,1,0,0,0,2839,2833,1,0,0,0,2840,2850,1,0,0,0,2841,2843,7,1,0, 0,2842,2844,7,2,0,0,2843,2842,1,0,0,0,2843,2844,1,0,0,0,2844,2846, 1,0,0,0,2845,2847,7,0,0,0,2846,2845,1,0,0,0,2847,2848,1,0,0,0,2848, 2846,1,0,0,0,2848,2849,1,0,0,0,2849,2851,1,0,0,0,2850,2841,1,0,0, 0,2850,2851,1,0,0,0,2851,464,1,0,0,0,2852,2853,5,112,0,0,2853,2858, 5,105,0,0,2854,2855,5,80,0,0,2855,2858,5,73,0,0,2856,2858,7,1,0, 0,2857,2852,1,0,0,0,2857,2854,1,0,0,0,2857,2856,1,0,0,0,2858,466, 1,0,0,0,2859,2865,5,34,0,0,2860,2864,8,3,0,0,2861,2862,5,92,0,0, 2862,2864,9,0,0,0,2863,2860,1,0,0,0,2863,2861,1,0,0,0,2864,2867, 1,0,0,0,2865,2863,1,0,0,0,2865,2866,1,0,0,0,2866,2868,1,0,0,0,2867, 2865,1,0,0,0,2868,2880,5,34,0,0,2869,2875,5,39,0,0,2870,2874,8,4, 0,0,2871,2872,5,92,0,0,2872,2874,9,0,0,0,2873,2870,1,0,0,0,2873, 2871,1,0,0,0,2874,2877,1,0,0,0,2875,2873,1,0,0,0,2875,2876,1,0,0, 0,2876,2878,1,0,0,0,2877,2875,1,0,0,0,2878,2880,5,39,0,0,2879,2859, 1,0,0,0,2879,2869,1,0,0,0,2880,468,1,0,0,0,2881,2885,7,5,0,0,2882, 2884,7,6,0,0,2883,2882,1,0,0,0,2884,2887,1,0,0,0,2885,2883,1,0,0, 0,2885,2886,1,0,0,0,2886,470,1,0,0,0,2887,2885,1,0,0,0,2888,2892, 5,35,0,0,2889,2891,8,7,0,0,2890,2889,1,0,0,0,2891,2894,1,0,0,0,2892, 2890,1,0,0,0,2892,2893,1,0,0,0,2893,2895,1,0,0,0,2894,2892,1,0,0, 0,2895,2896,6,235,0,0,2896,472,1,0,0,0,2897,2898,5,47,0,0,2898,2899, 5,42,0,0,2899,2903,1,0,0,0,2900,2902,9,0,0,0,2901,2900,1,0,0,0,2902, 2905,1,0,0,0,2903,2904,1,0,0,0,2903,2901,1,0,0,0,2904,2906,1,0,0, 0,2905,2903,1,0,0,0,2906,2907,5,42,0,0,2907,2908,5,47,0,0,2908,2909, 1,0,0,0,2909,2910,6,236,0,0,2910,474,1,0,0,0,2911,2913,7,8,0,0,2912, 2911,1,0,0,0,2913,2914,1,0,0,0,2914,2912,1,0,0,0,2914,2915,1,0,0, 0,2915,2916,1,0,0,0,2916,2917,6,237,0,0,2917,476,1,0,0,0,79,0,669, 684,760,777,795,808,881,898,956,1005,1027,1044,1065,1080,1107,1138, 1154,1189,1215,1245,1279,1350,1400,1420,1441,1488,1512,1535,1552, 1567,1600,1675,1730,1959,1997,2030,2051,2108,2227,2258,2277,2302, 2327,2347,2372,2397,2420,2441,2460,2481,2502,2527,2548,2569,2591, 2611,2661,2691,2711,2741,2822,2828,2831,2837,2839,2843,2848,2850, 2857,2863,2865,2873,2875,2879,2885,2892,2903,2914,1,6,0,0 ] 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 KEYS = 87 GET_CHANGED_KEYS = 88 GET_ADDED_KEYS = 89 GET_REMOVED_KEYS = 90 GET_UNCHANGED_KEYS = 91 REPEAT = 92 FLATTEN = 93 APPEND = 94 GET_VALUE = 95 FLOW_APPLY = 96 BATCH_SHUFFLE = 97 MOTION_MASK = 98 FLOW_TO_IMAGE = 99 FLOW_MAG = 100 FLOW_ANG = 101 WHERE = 102 HISTOGRAM = 103 OVERLAY = 104 PAD = 105 CROSS = 106 MATMUL = 107 RIFE = 108 BNOT = 109 BITCOUNT = 110 SHAPE = 111 BAND = 112 XOR = 113 BOR = 114 TENSOR = 115 ADD_KEY = 116 REMOVE_KEY = 117 PUSH = 118 POP = 119 CLEAR = 120 HAS = 121 GET = 122 CONCAT = 123 INT = 124 FLOAT = 125 UPPER = 126 LOWER = 127 TRIM = 128 SPLIT = 129 JOIN = 130 SUBSTRING = 131 FIND = 132 REPLACE = 133 DILATE = 134 ERODE = 135 MORPH_OPEN = 136 MORPH_CLOSE = 137 RGB_TO_OKLAB = 138 RGB_TO_CIELAB = 139 OKLAB_TO_RGB = 140 CIELAB_TO_RGB = 141 RGB_TO_HSV = 142 HSV_TO_RGB = 143 INT_TO_RGB = 144 RGB_TO_INT = 145 INTERPOLATE_LINEAR = 146 INTERPOLATE_AREA = 147 INTERPOLATE_NEAREST = 148 TEXT_IMAGE = 149 AS_NESTED = 150 SVD = 151 DIAG = 152 IF = 153 ELSE = 154 WHILE = 155 FOR = 156 IN = 157 BREAK = 158 CONTINUE = 159 RETURN = 160 TIMESTAMP = 161 SORT = 162 ARGSORT = 163 ARGMIN = 164 ARGMAX = 165 SOFTMAX = 166 SOFTMIN = 167 UNIQUE = 168 FLIP = 169 STARTSWITH = 170 ENDSWITH = 171 SQUEEZE = 172 UNSQUEEZE = 173 ROLL = 174 COV = 175 CORR = 176 ENTROPY = 177 CROP = 178 NONE = 179 COORDS = 180 NOISE = 181 RAND = 182 CAUCHY = 183 EXPONENTIAL = 184 LOGNORMAL = 185 BERNOULLI = 186 POISSON = 187 GAMMADIST = 188 BETADIST = 189 LAPLACEDIST = 190 GUMBELDIST = 191 WEIBULLDIST = 192 CHI2DIST = 193 STUDENTTDIST = 194 PERLIN = 195 CELLULAR = 196 PLASMA = 197 RIDGED = 198 DOMAIN_WARP = 199 PLUS = 200 MINUS = 201 MULT = 202 DIV = 203 MOD = 204 POW = 205 LSHIFT = 206 RSHIFT = 207 GE = 208 GT = 209 LE = 210 LT = 211 EQ = 212 EQUEALS = 213 PLUS_EQ = 214 MINUS_EQ = 215 MULT_EQ = 216 DIV_EQ = 217 MOD_EQ = 218 NE = 219 PIPE = 220 LPAREN = 221 RPAREN = 222 COMMA = 223 SEMICOLON = 224 ARROW = 225 LBRACKET = 226 RBRACKET = 227 QUESTION = 228 COLON = 229 LBRACE = 230 RBRACE = 231 NUMBER = 232 CONSTANT = 233 STRING = 234 VARIABLE = 235 SL_COMMENT = 236 ML_COMMENT = 237 WS = 238 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'", "'keys'", "'repeat'", "'flatten'", "'append'", "'get_value'", "'flow_apply'", "'motion_mask'", "'flow_to_image'", "'where'", "'overlay'", "'pad'", "'cross'", "'matmul'", "'rife'", "'shape'", "'tensor'", "'add_key'", "'stack_push'", "'stack_pop'", "'stack_clear'", "'stack_has'", "'stack_get'", "'int'", "'float'", "'upper'", "'lower'", "'trim'", "'split'", "'join'", "'find'", "'replace'", "'dilate'", "'erode'", "'morph_open'", "'morph_close'", "'rgb_to_oklab'", "'rgb_to_cielab'", "'oklab_to_rgb'", "'cielab_to_rgb'", "'rgb_to_hsv'", "'hsv_to_rgb'", "'int_to_rgb'", "'rgb_to_int'", "'interpolate_linear'", "'interpolate_area'", "'text_image'", "'if'", "'else'", "'while'", "'for'", "'in'", "'break'", "'continue'", "'return'", "'sort'", "'argsort'", "'argmin'", "'argmax'", "'softmax'", "'softmin'", "'unique'", "'flip'", "'startswith'", "'endswith'", "'squeeze'", "'unsqueeze'", "'roll'", "'cov'", "'entropy'", "'crop'", "'+'", "'-'", "'*'", "'/'", "'%'", "'^'", "'<<'", "'>>'", "'>='", "'>'", "'<='", "'<'", "'=='", "'='", "'+='", "'-='", "'*='", "'/='", "'%='", "'!='", "'|'", "'('", "')'", "','", "';'", "'->'", "'['", "']'", "'?'", "':'", "'{'", "'}'" ] 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", "KEYS", "GET_CHANGED_KEYS", "GET_ADDED_KEYS", "GET_REMOVED_KEYS", "GET_UNCHANGED_KEYS", "REPEAT", "FLATTEN", "APPEND", "GET_VALUE", "FLOW_APPLY", "BATCH_SHUFFLE", "MOTION_MASK", "FLOW_TO_IMAGE", "FLOW_MAG", "FLOW_ANG", "WHERE", "HISTOGRAM", "OVERLAY", "PAD", "CROSS", "MATMUL", "RIFE", "BNOT", "BITCOUNT", "SHAPE", "BAND", "XOR", "BOR", "TENSOR", "ADD_KEY", "REMOVE_KEY", "PUSH", "POP", "CLEAR", "HAS", "GET", "CONCAT", "INT", "FLOAT", "UPPER", "LOWER", "TRIM", "SPLIT", "JOIN", "SUBSTRING", "FIND", "REPLACE", "DILATE", "ERODE", "MORPH_OPEN", "MORPH_CLOSE", "RGB_TO_OKLAB", "RGB_TO_CIELAB", "OKLAB_TO_RGB", "CIELAB_TO_RGB", "RGB_TO_HSV", "HSV_TO_RGB", "INT_TO_RGB", "RGB_TO_INT", "INTERPOLATE_LINEAR", "INTERPOLATE_AREA", "INTERPOLATE_NEAREST", "TEXT_IMAGE", "AS_NESTED", "SVD", "DIAG", "IF", "ELSE", "WHILE", "FOR", "IN", "BREAK", "CONTINUE", "RETURN", "TIMESTAMP", "SORT", "ARGSORT", "ARGMIN", "ARGMAX", "SOFTMAX", "SOFTMIN", "UNIQUE", "FLIP", "STARTSWITH", "ENDSWITH", "SQUEEZE", "UNSQUEEZE", "ROLL", "COV", "CORR", "ENTROPY", "CROP", "NONE", "COORDS", "NOISE", "RAND", "CAUCHY", "EXPONENTIAL", "LOGNORMAL", "BERNOULLI", "POISSON", "GAMMADIST", "BETADIST", "LAPLACEDIST", "GUMBELDIST", "WEIBULLDIST", "CHI2DIST", "STUDENTTDIST", "PERLIN", "CELLULAR", "PLASMA", "RIDGED", "DOMAIN_WARP", "PLUS", "MINUS", "MULT", "DIV", "MOD", "POW", "LSHIFT", "RSHIFT", "GE", "GT", "LE", "LT", "EQ", "EQUEALS", "PLUS_EQ", "MINUS_EQ", "MULT_EQ", "DIV_EQ", "MOD_EQ", "NE", "PIPE", "LPAREN", "RPAREN", "COMMA", "SEMICOLON", "ARROW", "LBRACKET", "RBRACKET", "QUESTION", "COLON", "LBRACE", "RBRACE", "NUMBER", "CONSTANT", "STRING", "VARIABLE", "SL_COMMENT", "ML_COMMENT", "WS" ] ruleNames = [ "SIN", "COS", "TAN", "ASIN", "ACOS", "ATAN", "ATAN2", "SINH", "COSH", "TANH", "ASINH", "ACOSH", "ATANH", "ABS", "SQRT", "LN", "LOG", "EXP", "SMIN", "SMAX", "TMIN", "TMAX", "TNORM", "SNORM", "FLOOR", "CEIL", "ROUND", "GAMMA", "POWE", "SIGM", "CLAMP", "SFFT", "SIFFT", "ANGL", "PRNT", "PRINT_SHAPE", "NVL", "LERP", "STEP", "SMOOTHSTEP", "FRACT", "RELU", "SOFTPLUS", "GELU", "SIGN", "MAP", "EZCONV", "CONV", "SWAP", "PERM", "RESHAPE", "RANGE", "LINSPACE", "LOGSPACE", "TOPK", "BOTK", "PINV", "SUM", "MEAN", "STD", "VAR", "QUARTILE", "PERCENTILE", "QUANTILE", "DOT", "MOMENT", "ERF", "ERFINV", "ANY", "ALL", "EDGE", "GAUSSIAN", "MEDIAN", "MODE", "CUMSUM", "CUMPROD", "TOPK_IND", "BOTK_IND", "CUBIC_EASE", "ELASTIC_EASE", "SINE_EASE", "SMOOTHERSTEP", "DIST", "REMAP", "COSSIM", "COUNT", "KEYS", "GET_CHANGED_KEYS", "GET_ADDED_KEYS", "GET_REMOVED_KEYS", "GET_UNCHANGED_KEYS", "REPEAT", "FLATTEN", "APPEND", "GET_VALUE", "FLOW_APPLY", "BATCH_SHUFFLE", "MOTION_MASK", "FLOW_TO_IMAGE", "FLOW_MAG", "FLOW_ANG", "WHERE", "HISTOGRAM", "OVERLAY", "PAD", "CROSS", "MATMUL", "RIFE", "BNOT", "BITCOUNT", "SHAPE", "BAND", "XOR", "BOR", "TENSOR", "ADD_KEY", "REMOVE_KEY", "PUSH", "POP", "CLEAR", "HAS", "GET", "CONCAT", "INT", "FLOAT", "UPPER", "LOWER", "TRIM", "SPLIT", "JOIN", "SUBSTRING", "FIND", "REPLACE", "DILATE", "ERODE", "MORPH_OPEN", "MORPH_CLOSE", "RGB_TO_OKLAB", "RGB_TO_CIELAB", "OKLAB_TO_RGB", "CIELAB_TO_RGB", "RGB_TO_HSV", "HSV_TO_RGB", "INT_TO_RGB", "RGB_TO_INT", "INTERPOLATE_LINEAR", "INTERPOLATE_AREA", "INTERPOLATE_NEAREST", "TEXT_IMAGE", "AS_NESTED", "SVD", "DIAG", "IF", "ELSE", "WHILE", "FOR", "IN", "BREAK", "CONTINUE", "RETURN", "TIMESTAMP", "SORT", "ARGSORT", "ARGMIN", "ARGMAX", "SOFTMAX", "SOFTMIN", "UNIQUE", "FLIP", "STARTSWITH", "ENDSWITH", "SQUEEZE", "UNSQUEEZE", "ROLL", "COV", "CORR", "ENTROPY", "CROP", "NONE", "COORDS", "NOISE", "RAND", "CAUCHY", "EXPONENTIAL", "LOGNORMAL", "BERNOULLI", "POISSON", "GAMMADIST", "BETADIST", "LAPLACEDIST", "GUMBELDIST", "WEIBULLDIST", "CHI2DIST", "STUDENTTDIST", "PERLIN", "CELLULAR", "PLASMA", "RIDGED", "DOMAIN_WARP", "PLUS", "MINUS", "MULT", "DIV", "MOD", "POW", "LSHIFT", "RSHIFT", "GE", "GT", "LE", "LT", "EQ", "EQUEALS", "PLUS_EQ", "MINUS_EQ", "MULT_EQ", "DIV_EQ", "MOD_EQ", "NE", "PIPE", "LPAREN", "RPAREN", "COMMA", "SEMICOLON", "ARROW", "LBRACKET", "RBRACKET", "QUESTION", "COLON", "LBRACE", "RBRACE", "NUMBER", "CONSTANT", "STRING", "VARIABLE", "SL_COMMENT", "ML_COMMENT", "WS" ] grammarFileName = "MathExpr.g4" def __init__(self, input=None, output:TextIO = sys.stdout): super().__init__(input, output) self.checkVersion("4.13.2") self._interp = LexerATNSimulator(self, self.atn, self.decisionsToDFA, PredictionContextCache()) self._actions = None self._predicates = None