Files

1979 lines
125 KiB
Python

# 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 [
4,0,309,3768,6,-1,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,
5,2,6,7,6,2,7,7,7,2,8,7,8,2,9,7,9,2,10,7,10,2,11,7,11,2,12,7,12,
2,13,7,13,2,14,7,14,2,15,7,15,2,16,7,16,2,17,7,17,2,18,7,18,2,19,
7,19,2,20,7,20,2,21,7,21,2,22,7,22,2,23,7,23,2,24,7,24,2,25,7,25,
2,26,7,26,2,27,7,27,2,28,7,28,2,29,7,29,2,30,7,30,2,31,7,31,2,32,
7,32,2,33,7,33,2,34,7,34,2,35,7,35,2,36,7,36,2,37,7,37,2,38,7,38,
2,39,7,39,2,40,7,40,2,41,7,41,2,42,7,42,2,43,7,43,2,44,7,44,2,45,
7,45,2,46,7,46,2,47,7,47,2,48,7,48,2,49,7,49,2,50,7,50,2,51,7,51,
2,52,7,52,2,53,7,53,2,54,7,54,2,55,7,55,2,56,7,56,2,57,7,57,2,58,
7,58,2,59,7,59,2,60,7,60,2,61,7,61,2,62,7,62,2,63,7,63,2,64,7,64,
2,65,7,65,2,66,7,66,2,67,7,67,2,68,7,68,2,69,7,69,2,70,7,70,2,71,
7,71,2,72,7,72,2,73,7,73,2,74,7,74,2,75,7,75,2,76,7,76,2,77,7,77,
2,78,7,78,2,79,7,79,2,80,7,80,2,81,7,81,2,82,7,82,2,83,7,83,2,84,
7,84,2,85,7,85,2,86,7,86,2,87,7,87,2,88,7,88,2,89,7,89,2,90,7,90,
2,91,7,91,2,92,7,92,2,93,7,93,2,94,7,94,2,95,7,95,2,96,7,96,2,97,
7,97,2,98,7,98,2,99,7,99,2,100,7,100,2,101,7,101,2,102,7,102,2,103,
7,103,2,104,7,104,2,105,7,105,2,106,7,106,2,107,7,107,2,108,7,108,
2,109,7,109,2,110,7,110,2,111,7,111,2,112,7,112,2,113,7,113,2,114,
7,114,2,115,7,115,2,116,7,116,2,117,7,117,2,118,7,118,2,119,7,119,
2,120,7,120,2,121,7,121,2,122,7,122,2,123,7,123,2,124,7,124,2,125,
7,125,2,126,7,126,2,127,7,127,2,128,7,128,2,129,7,129,2,130,7,130,
2,131,7,131,2,132,7,132,2,133,7,133,2,134,7,134,2,135,7,135,2,136,
7,136,2,137,7,137,2,138,7,138,2,139,7,139,2,140,7,140,2,141,7,141,
2,142,7,142,2,143,7,143,2,144,7,144,2,145,7,145,2,146,7,146,2,147,
7,147,2,148,7,148,2,149,7,149,2,150,7,150,2,151,7,151,2,152,7,152,
2,153,7,153,2,154,7,154,2,155,7,155,2,156,7,156,2,157,7,157,2,158,
7,158,2,159,7,159,2,160,7,160,2,161,7,161,2,162,7,162,2,163,7,163,
2,164,7,164,2,165,7,165,2,166,7,166,2,167,7,167,2,168,7,168,2,169,
7,169,2,170,7,170,2,171,7,171,2,172,7,172,2,173,7,173,2,174,7,174,
2,175,7,175,2,176,7,176,2,177,7,177,2,178,7,178,2,179,7,179,2,180,
7,180,2,181,7,181,2,182,7,182,2,183,7,183,2,184,7,184,2,185,7,185,
2,186,7,186,2,187,7,187,2,188,7,188,2,189,7,189,2,190,7,190,2,191,
7,191,2,192,7,192,2,193,7,193,2,194,7,194,2,195,7,195,2,196,7,196,
2,197,7,197,2,198,7,198,2,199,7,199,2,200,7,200,2,201,7,201,2,202,
7,202,2,203,7,203,2,204,7,204,2,205,7,205,2,206,7,206,2,207,7,207,
2,208,7,208,2,209,7,209,2,210,7,210,2,211,7,211,2,212,7,212,2,213,
7,213,2,214,7,214,2,215,7,215,2,216,7,216,2,217,7,217,2,218,7,218,
2,219,7,219,2,220,7,220,2,221,7,221,2,222,7,222,2,223,7,223,2,224,
7,224,2,225,7,225,2,226,7,226,2,227,7,227,2,228,7,228,2,229,7,229,
2,230,7,230,2,231,7,231,2,232,7,232,2,233,7,233,2,234,7,234,2,235,
7,235,2,236,7,236,2,237,7,237,2,238,7,238,2,239,7,239,2,240,7,240,
2,241,7,241,2,242,7,242,2,243,7,243,2,244,7,244,2,245,7,245,2,246,
7,246,2,247,7,247,2,248,7,248,2,249,7,249,2,250,7,250,2,251,7,251,
2,252,7,252,2,253,7,253,2,254,7,254,2,255,7,255,2,256,7,256,2,257,
7,257,2,258,7,258,2,259,7,259,2,260,7,260,2,261,7,261,2,262,7,262,
2,263,7,263,2,264,7,264,2,265,7,265,2,266,7,266,2,267,7,267,2,268,
7,268,2,269,7,269,2,270,7,270,2,271,7,271,2,272,7,272,2,273,7,273,
2,274,7,274,2,275,7,275,2,276,7,276,2,277,7,277,2,278,7,278,2,279,
7,279,2,280,7,280,2,281,7,281,2,282,7,282,2,283,7,283,2,284,7,284,
2,285,7,285,2,286,7,286,2,287,7,287,2,288,7,288,2,289,7,289,2,290,
7,290,2,291,7,291,2,292,7,292,2,293,7,293,2,294,7,294,2,295,7,295,
2,296,7,296,2,297,7,297,2,298,7,298,2,299,7,299,2,300,7,300,2,301,
7,301,2,302,7,302,2,303,7,303,2,304,7,304,2,305,7,305,2,306,7,306,
2,307,7,307,2,308,7,308,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,2,1,2,
1,2,1,2,1,3,1,3,1,3,1,3,1,3,1,4,1,4,1,4,1,4,1,4,1,5,1,5,1,5,1,5,
1,5,1,6,1,6,1,6,1,6,1,6,1,6,1,7,1,7,1,7,1,7,1,7,1,8,1,8,1,8,1,8,
1,8,1,9,1,9,1,9,1,9,1,9,1,10,1,10,1,10,1,10,1,10,1,10,1,11,1,11,
1,11,1,11,1,11,1,11,1,12,1,12,1,12,1,12,1,12,1,12,1,13,1,13,1,13,
1,13,1,14,1,14,1,14,1,14,1,14,1,15,1,15,1,15,1,16,1,16,1,16,1,16,
1,17,1,17,1,17,1,17,1,17,1,18,1,18,1,18,1,18,1,19,1,19,1,19,1,19,
1,19,1,19,1,20,1,20,1,20,1,20,1,20,1,20,1,21,1,21,1,21,1,21,1,21,
1,22,1,22,1,22,1,22,1,22,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,
1,23,1,23,1,23,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,
1,25,1,25,1,25,1,25,1,25,1,25,1,25,1,25,1,25,1,25,1,26,1,26,1,26,
1,26,1,26,1,27,1,27,1,27,1,27,1,27,1,27,1,27,1,27,1,27,1,27,1,28,
1,28,1,28,1,28,1,28,1,28,1,28,1,28,1,28,1,28,1,28,1,29,1,29,1,29,
1,29,1,29,1,29,1,30,1,30,1,30,1,30,1,30,1,30,1,31,1,31,1,31,1,31,
1,32,1,32,1,32,1,32,1,32,1,33,1,33,1,33,1,33,1,33,1,33,1,34,1,34,
1,34,1,34,1,34,1,34,1,35,1,35,1,35,1,35,1,35,1,35,1,36,1,36,1,36,
1,36,1,36,1,36,1,36,1,36,1,36,1,37,1,37,1,37,1,37,1,37,1,38,1,38,
1,38,1,38,1,38,1,39,1,39,1,39,1,39,1,39,1,40,1,40,1,40,1,40,1,40,
1,41,1,41,1,41,1,41,1,41,1,41,1,42,1,42,1,42,1,42,1,42,1,42,1,43,
1,43,1,43,1,43,1,43,1,43,1,44,1,44,1,44,1,44,1,44,1,45,1,45,1,45,
1,45,1,45,1,45,1,46,1,46,1,46,1,46,1,46,1,46,1,47,1,47,1,47,1,47,
1,48,1,48,1,48,1,48,1,48,1,49,1,49,1,49,1,49,1,49,1,49,1,49,1,49,
1,49,1,49,1,49,1,49,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,
1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,51,1,51,1,51,1,51,1,51,
1,51,1,51,1,51,1,51,1,51,1,51,1,51,1,51,1,51,1,51,1,51,1,51,1,51,
1,51,1,51,1,51,1,52,1,52,1,52,1,52,1,52,1,52,1,52,1,52,1,52,1,52,
1,52,1,52,1,52,1,53,1,53,1,53,1,53,1,53,1,53,1,54,1,54,1,54,1,54,
1,55,1,55,1,55,1,55,1,55,1,56,1,56,1,56,1,56,1,56,1,56,1,57,1,57,
1,57,1,57,1,57,1,57,1,58,1,58,1,58,1,58,1,58,1,58,1,58,1,58,1,58,
1,58,1,58,1,58,1,58,1,58,1,58,3,58,1007,8,58,1,59,1,59,1,59,1,59,
1,59,1,59,1,59,1,59,1,59,1,59,1,59,1,59,1,59,3,59,1022,8,59,1,60,
1,60,1,60,1,60,1,60,1,61,1,61,1,61,1,61,1,61,1,61,1,61,1,62,1,62,
1,62,1,62,1,62,1,62,1,63,1,63,1,63,1,63,1,63,1,64,1,64,1,64,1,64,
1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,65,1,65,1,65,1,65,1,65,1,65,
1,66,1,66,1,66,1,66,1,66,1,67,1,67,1,67,1,67,1,67,1,67,1,67,1,67,
1,67,1,68,1,68,1,68,1,68,1,68,1,68,1,68,1,68,1,68,1,68,1,68,1,69,
1,69,1,69,1,69,1,69,1,69,1,69,1,69,1,69,1,70,1,70,1,70,1,70,1,70,
1,71,1,71,1,71,1,71,1,71,1,72,1,72,1,72,1,72,1,72,1,73,1,73,1,73,
1,73,1,73,1,73,1,73,1,73,1,74,1,74,1,74,1,74,1,74,1,74,1,74,1,74,
1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,76,
1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,77,1,77,
1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,78,1,78,1,78,1,78,
1,78,1,78,1,79,1,79,1,79,1,79,1,80,1,80,1,80,1,80,1,80,1,80,1,80,
1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,3,80,
1193,8,80,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,1,81,
1,81,1,81,1,81,1,81,3,81,1210,8,81,1,82,1,82,1,82,1,82,1,82,1,83,
1,83,1,83,1,83,1,83,1,83,1,83,1,83,1,83,1,83,1,83,1,83,1,83,1,83,
1,83,1,83,1,83,3,83,1234,8,83,1,84,1,84,1,84,1,84,1,84,1,84,1,84,
1,84,1,84,1,84,1,84,3,84,1247,8,84,1,85,1,85,1,85,1,85,1,85,1,85,
1,85,1,85,1,85,1,85,1,85,3,85,1260,8,85,1,86,1,86,1,86,1,86,1,86,
1,86,1,87,1,87,1,87,1,87,1,87,1,87,1,87,1,87,1,87,1,88,1,88,1,88,
1,88,1,88,1,88,1,88,1,88,1,88,1,89,1,89,1,89,1,89,1,89,1,90,1,90,
1,90,1,90,1,90,1,91,1,91,1,91,1,91,1,91,1,92,1,92,1,92,1,92,1,93,
1,93,1,93,1,93,1,94,1,94,1,94,1,94,1,94,1,95,1,95,1,95,1,95,1,96,
1,96,1,96,1,96,1,97,1,97,1,97,1,97,1,97,1,98,1,98,1,98,1,98,1,98,
1,98,1,98,1,98,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,100,
1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,
1,100,1,100,1,100,3,100,1359,8,100,1,101,1,101,1,101,1,101,1,101,
1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,1,101,3,101,
1376,8,101,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102,
1,103,1,103,1,103,1,103,1,104,1,104,1,104,1,104,1,104,1,104,1,104,
1,105,1,105,1,105,1,105,1,106,1,106,1,106,1,106,1,106,1,107,1,107,
1,107,1,107,1,107,1,107,1,107,1,108,1,108,1,108,1,108,1,109,1,109,
1,109,1,109,1,110,1,110,1,110,1,110,1,110,1,111,1,111,1,111,1,111,
1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,111,
1,111,1,111,1,111,1,111,1,112,1,112,1,112,1,112,1,112,1,112,1,112,
1,112,1,112,1,112,1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,113,
1,113,1,113,1,113,1,113,3,113,1468,8,113,1,114,1,114,1,114,1,114,
1,114,1,114,1,114,1,115,1,115,1,115,1,115,1,115,1,116,1,116,1,116,
1,116,1,116,1,116,1,116,1,117,1,117,1,117,1,117,1,117,1,117,1,117,
1,117,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,
1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,3,118,
1517,8,118,1,119,1,119,1,119,1,119,1,119,1,119,1,119,1,119,1,119,
1,119,1,119,1,119,1,119,1,119,1,119,1,119,1,119,1,119,1,119,1,119,
3,119,1539,8,119,1,120,1,120,1,120,1,120,1,120,1,120,1,120,1,120,
1,120,1,120,1,120,1,120,1,120,1,120,1,120,3,120,1556,8,120,1,121,
1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121,
1,121,1,121,1,121,1,121,1,121,1,121,1,121,3,121,1577,8,121,1,122,
1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122,
1,122,3,122,1592,8,122,1,123,1,123,1,123,1,123,1,123,1,123,1,123,
1,123,1,123,1,123,1,123,1,123,1,123,1,124,1,124,1,124,1,124,1,124,
1,124,1,124,1,124,1,124,1,124,1,124,1,124,3,124,1619,8,124,1,125,
1,125,1,125,1,125,1,125,1,125,1,126,1,126,1,126,1,126,1,126,1,126,
1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,
1,126,1,126,1,126,1,126,1,126,1,126,3,126,1650,8,126,1,127,1,127,
1,127,1,127,1,127,1,127,1,127,1,127,1,127,1,127,1,127,1,127,1,127,
1,127,3,127,1666,8,127,1,128,1,128,1,128,1,128,1,128,1,129,1,129,
1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,
1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,1,129,3,129,
1696,8,129,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,
1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,
1,130,1,130,1,130,1,130,1,130,3,130,1723,8,130,1,131,1,131,1,131,
1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,
1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,
3,131,1750,8,131,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,
1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,
1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,3,132,1780,
8,132,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,
1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,1,133,
1,133,1,133,1,133,3,133,1806,8,133,1,134,1,134,1,134,1,134,1,134,
1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134,
1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134,1,134,
1,134,3,134,1836,8,134,1,135,1,135,1,135,1,135,1,135,1,135,1,135,
1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,
1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,
1,135,1,135,1,135,3,135,1870,8,135,1,136,1,136,1,136,1,136,1,136,
1,136,1,136,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,138,
1,138,1,138,1,138,1,138,1,138,1,138,1,139,1,139,1,139,1,139,1,139,
1,139,1,139,1,139,1,139,1,139,1,140,1,140,1,140,1,140,1,140,1,140,
1,140,1,140,1,140,1,140,1,140,1,141,1,141,1,141,1,141,1,141,1,141,
1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141,
1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,141,3,141,1941,
8,141,1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,142,1,142,
1,142,1,142,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,1,143,
1,143,1,143,1,143,1,143,1,143,1,144,1,144,1,144,1,144,1,144,1,144,
1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144,1,144,
1,144,1,144,1,144,1,144,1,144,3,144,1991,8,144,1,145,1,145,1,145,
1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,
1,145,1,145,1,145,1,145,3,145,2011,8,145,1,146,1,146,1,146,1,146,
1,146,1,146,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,
1,147,1,147,1,147,1,147,3,147,2032,8,147,1,148,1,148,1,148,1,148,
1,148,1,148,1,148,1,148,1,149,1,149,1,149,1,149,1,149,1,149,1,150,
1,150,1,150,1,150,1,151,1,151,1,151,1,151,1,151,1,151,1,152,1,152,
1,152,1,152,1,152,1,152,1,152,1,153,1,153,1,153,1,153,1,153,1,153,
1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154,1,154,
1,154,1,155,1,155,1,155,1,155,1,155,1,156,1,156,1,156,1,156,1,156,
1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,1,156,3,156,
2103,8,156,1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157,
1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157,1,157,
1,157,1,157,3,157,2127,8,157,1,158,1,158,1,158,1,158,1,158,1,158,
1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,
1,159,1,159,1,159,1,159,3,159,2150,8,159,1,160,1,160,1,160,1,160,
1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,1,160,
3,160,2167,8,160,1,161,1,161,1,161,1,161,1,161,1,161,1,161,1,161,
1,161,1,161,1,161,1,161,1,161,3,161,2182,8,161,1,162,1,162,1,162,
1,162,1,162,1,162,1,162,1,163,1,163,1,163,1,163,1,163,1,163,1,164,
1,164,1,164,1,164,1,164,1,165,1,165,1,165,1,165,1,166,1,166,1,166,
1,166,1,166,1,166,1,166,1,166,1,167,1,167,1,167,1,167,1,168,1,168,
1,168,1,168,1,169,1,169,1,169,1,169,1,169,1,170,1,170,1,170,1,170,
1,170,1,170,1,170,1,170,1,170,1,170,1,170,1,170,1,170,1,170,1,171,
1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,172,
1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172,1,172,
1,172,1,172,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,174,
1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,
1,174,1,174,1,174,1,174,3,174,2290,8,174,1,175,1,175,1,175,1,175,
1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,176,1,176,1,176,1,176,
1,176,1,176,1,176,1,176,1,176,1,176,1,177,1,177,1,177,1,177,1,177,
1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,178,1,178,1,178,1,178,
1,178,1,178,1,178,1,178,1,178,1,178,1,179,1,179,1,179,1,179,1,179,
1,179,1,179,1,179,1,179,1,179,1,180,1,180,1,180,1,180,1,180,1,180,
1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,1,180,
1,180,1,180,1,180,3,180,2365,8,180,1,181,1,181,1,181,1,181,1,181,
1,181,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,183,1,183,
1,183,1,183,1,184,1,184,1,184,1,184,1,184,1,184,1,185,1,185,1,185,
1,185,1,185,1,185,1,186,1,186,1,186,1,186,1,186,1,186,1,187,1,187,
1,187,1,187,1,187,1,188,1,188,1,188,1,188,1,188,1,188,1,189,1,189,
1,189,1,189,1,189,1,190,1,190,1,190,1,190,1,190,1,190,1,190,1,190,
1,190,1,190,1,190,1,190,1,190,1,190,1,190,3,190,2434,8,190,1,191,
1,191,1,191,1,191,1,191,1,192,1,192,1,192,1,192,1,192,1,192,1,192,
1,192,1,193,1,193,1,193,1,193,1,193,1,193,1,193,1,193,1,193,1,193,
1,193,1,193,1,193,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194,
1,194,1,194,1,194,1,194,1,194,1,194,1,195,1,195,1,195,1,195,1,195,
1,195,1,195,1,196,1,196,1,196,1,196,1,196,1,196,1,196,1,196,1,196,
1,196,1,196,1,196,1,196,1,196,1,196,1,196,1,196,1,196,3,196,2501,
8,196,1,197,1,197,1,197,1,197,1,197,1,197,1,197,1,197,1,197,1,197,
1,197,1,197,1,197,1,197,1,197,1,197,1,197,1,197,1,197,1,197,3,197,
2523,8,197,1,198,1,198,1,198,1,198,1,198,1,198,1,198,1,199,1,199,
1,199,1,199,1,199,1,199,1,200,1,200,1,200,1,200,1,200,1,200,1,200,
1,200,1,200,1,200,1,200,1,201,1,201,1,201,1,201,1,201,1,201,1,201,
1,201,1,201,1,201,1,201,1,201,1,202,1,202,1,202,1,202,1,202,1,202,
1,202,1,202,1,202,1,202,1,202,1,202,1,202,1,203,1,203,1,203,1,203,
1,203,1,203,1,203,1,203,1,203,1,203,1,204,1,204,1,204,1,204,1,204,
1,204,1,204,1,204,1,204,1,204,1,204,1,204,1,204,1,204,1,205,1,205,
1,205,1,205,1,205,1,205,1,205,1,205,1,205,1,205,1,205,1,205,1,205,
1,206,1,206,1,206,1,206,1,206,1,206,1,206,1,206,1,206,1,206,1,206,
1,206,1,206,1,206,1,207,1,207,1,207,1,207,1,207,1,207,1,207,1,207,
1,207,1,207,1,207,1,208,1,208,1,208,1,208,1,208,1,208,1,208,1,208,
1,208,1,208,1,208,1,209,1,209,1,209,1,209,1,209,1,209,1,209,1,209,
1,209,1,209,1,209,1,210,1,210,1,210,1,210,1,210,1,210,1,210,1,210,
1,210,1,210,1,210,1,211,1,211,1,211,1,211,1,211,1,211,1,211,1,211,
1,211,1,211,1,211,1,211,1,211,1,211,1,211,1,211,1,211,1,211,1,211,
1,212,1,212,1,212,1,212,1,212,1,212,1,212,1,212,1,212,1,212,1,212,
1,212,1,212,1,212,1,212,1,212,1,212,1,213,1,213,1,213,1,213,1,213,
1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,
1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,
1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,
1,213,1,213,1,213,1,213,1,213,1,213,3,213,2749,8,213,1,214,1,214,
1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,215,1,215,
1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215,
1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215,
1,215,3,215,2787,8,215,1,216,1,216,1,216,1,216,1,216,1,216,1,216,
1,216,1,216,1,216,1,216,1,216,1,216,1,216,1,216,1,216,1,216,1,216,
1,216,1,216,1,216,1,216,1,216,1,216,1,216,1,216,1,216,1,216,1,216,
1,216,1,216,3,216,2820,8,216,1,217,1,217,1,217,1,217,1,217,1,217,
1,217,1,217,1,217,1,217,1,217,1,217,1,217,1,217,1,217,1,217,1,217,
1,217,1,217,3,217,2841,8,217,1,218,1,218,1,218,1,219,1,219,1,219,
1,219,1,219,1,220,1,220,1,220,1,220,1,220,1,220,1,221,1,221,1,221,
1,221,1,222,1,222,1,222,1,223,1,223,1,223,1,223,1,223,1,223,1,224,
1,224,1,224,1,224,1,224,1,224,1,224,1,224,1,224,1,225,1,225,1,225,
1,225,1,225,1,225,1,225,1,226,1,226,1,226,1,226,1,226,1,226,1,226,
1,226,1,226,1,226,1,226,1,226,3,226,2898,8,226,1,227,1,227,1,227,
1,227,1,227,1,228,1,228,1,228,1,228,1,228,1,228,1,228,1,228,1,229,
1,229,1,229,1,229,1,229,1,229,1,229,1,230,1,230,1,230,1,230,1,230,
1,230,1,230,1,231,1,231,1,231,1,231,1,231,1,231,1,231,1,231,1,232,
1,232,1,232,1,232,1,232,1,232,1,232,1,232,1,233,1,233,1,233,1,233,
1,233,1,233,1,233,1,234,1,234,1,234,1,234,1,234,1,235,1,235,1,235,
1,235,1,235,1,235,1,235,1,235,1,235,1,235,1,235,1,236,1,236,1,236,
1,236,1,236,1,236,1,236,1,236,1,236,1,237,1,237,1,237,1,237,1,237,
1,237,1,237,1,237,1,238,1,238,1,238,1,238,1,238,1,238,1,238,1,238,
1,238,1,238,1,239,1,239,1,239,1,239,1,239,1,240,1,240,1,240,1,240,
1,241,1,241,1,241,1,241,1,241,1,241,1,241,1,241,1,241,1,241,1,241,
1,241,1,241,1,241,1,241,3,241,3017,8,241,1,242,1,242,1,242,1,242,
1,242,1,242,1,242,1,242,1,243,1,243,1,243,1,243,1,243,1,244,1,244,
1,244,1,244,1,244,1,244,1,244,1,244,1,244,1,244,1,244,1,244,1,244,
1,244,1,244,1,244,3,244,3048,8,244,1,245,1,245,1,245,1,245,1,245,
1,245,1,245,1,245,1,245,1,245,1,245,1,245,1,245,1,245,1,245,1,245,
1,245,3,245,3067,8,245,1,246,1,246,1,246,1,246,1,246,1,246,1,246,
1,247,1,247,1,247,1,247,1,247,1,247,1,247,1,247,1,248,1,248,1,248,
1,248,1,248,1,248,1,248,1,248,1,248,1,248,1,248,1,248,1,249,1,249,
1,249,1,249,1,249,1,249,1,249,1,249,1,249,1,249,1,249,1,249,1,249,
1,249,1,249,1,249,1,249,1,249,1,249,1,249,1,249,1,249,1,249,3,249,
3119,8,249,1,250,1,250,1,250,1,250,1,250,1,250,1,250,1,250,1,250,
1,250,1,250,1,250,1,250,1,250,3,250,3135,8,250,1,251,1,251,1,251,
1,251,1,251,1,251,1,251,1,251,1,251,1,251,1,251,1,251,1,251,1,251,
1,251,1,251,3,251,3153,8,251,1,252,1,252,1,252,1,252,1,252,1,252,
1,252,1,252,1,252,1,252,1,252,1,252,1,252,1,252,1,252,1,252,1,252,
1,252,1,252,1,252,1,252,1,252,1,252,3,252,3178,8,252,1,253,1,253,
1,253,1,253,1,253,1,253,1,253,1,253,1,253,1,253,1,253,1,253,1,253,
1,253,1,253,1,253,1,253,1,253,3,253,3198,8,253,1,254,1,254,1,254,
1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254,
1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254,1,254,3,254,3223,
8,254,1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255,
1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255,1,255,
1,255,1,255,3,255,3248,8,255,1,256,1,256,1,256,1,256,1,256,1,256,
1,256,1,256,1,256,1,256,1,256,1,256,1,256,1,256,1,256,1,256,1,256,
1,256,1,256,1,256,1,256,3,256,3271,8,256,1,257,1,257,1,257,1,257,
1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,1,257,
1,257,1,257,1,257,1,257,3,257,3292,8,257,1,258,1,258,1,258,1,258,
1,258,1,258,1,258,1,258,1,258,1,258,1,258,1,258,1,258,1,258,1,258,
1,258,1,258,3,258,3311,8,258,1,259,1,259,1,259,1,259,1,259,1,259,
1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259,1,259,
1,259,1,259,3,259,3332,8,259,1,260,1,260,1,260,1,260,1,260,1,260,
1,260,1,260,1,260,1,260,1,260,1,260,1,260,1,260,1,260,1,260,1,260,
1,260,1,260,3,260,3353,8,260,1,261,1,261,1,261,1,261,1,261,1,261,
1,261,1,261,1,261,1,261,1,261,1,261,1,261,1,261,1,261,1,261,1,261,
1,261,1,261,1,261,1,261,1,261,1,261,3,261,3378,8,261,1,262,1,262,
1,262,1,262,1,262,1,262,1,262,1,262,1,262,1,262,1,262,1,262,1,262,
1,262,1,262,1,262,1,262,1,262,1,262,3,262,3399,8,262,1,263,1,263,
1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263,1,263,
1,263,1,263,1,263,1,263,1,263,1,263,3,263,3420,8,263,1,264,1,264,
1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,1,264,
1,264,1,264,1,264,1,264,1,264,1,264,1,264,3,264,3442,8,264,1,265,
1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265,1,265,
1,265,1,265,1,265,1,265,1,265,1,265,3,265,3462,8,265,1,266,1,266,
1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,
1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,
1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,
1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,1,266,
1,266,1,266,3,266,3512,8,266,1,267,1,267,1,267,1,267,1,267,1,267,
1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,
1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,1,267,
3,267,3542,8,267,1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,
1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,1,268,3,268,
3562,8,268,1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,
1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,
1,269,1,269,1,269,1,269,1,269,1,269,1,269,1,269,3,269,3592,8,269,
1,270,1,270,1,271,1,271,1,272,1,272,1,273,1,273,1,274,1,274,1,275,
1,275,1,276,1,276,1,276,1,277,1,277,1,277,1,278,1,278,1,278,1,279,
1,279,1,280,1,280,1,280,1,281,1,281,1,282,1,282,1,282,1,283,1,283,
1,284,1,284,1,284,1,285,1,285,1,285,1,286,1,286,1,286,1,287,1,287,
1,287,1,288,1,288,1,288,1,289,1,289,1,289,1,290,1,290,1,291,1,291,
1,292,1,292,1,293,1,293,1,294,1,294,1,295,1,295,1,295,1,296,1,296,
1,297,1,297,1,298,1,298,1,299,1,299,1,300,1,300,1,301,1,301,1,302,
4,302,3671,8,302,11,302,12,302,3672,1,302,1,302,5,302,3677,8,302,
10,302,12,302,3680,9,302,3,302,3682,8,302,1,302,1,302,4,302,3686,
8,302,11,302,12,302,3687,3,302,3690,8,302,1,302,1,302,3,302,3694,
8,302,1,302,4,302,3697,8,302,11,302,12,302,3698,3,302,3701,8,302,
1,303,1,303,1,303,1,303,1,303,3,303,3708,8,303,1,304,1,304,1,304,
1,304,5,304,3714,8,304,10,304,12,304,3717,9,304,1,304,1,304,1,304,
1,304,1,304,5,304,3724,8,304,10,304,12,304,3727,9,304,1,304,3,304,
3730,8,304,1,305,1,305,5,305,3734,8,305,10,305,12,305,3737,9,305,
1,306,1,306,5,306,3741,8,306,10,306,12,306,3744,9,306,1,306,1,306,
1,307,1,307,1,307,1,307,5,307,3752,8,307,10,307,12,307,3755,9,307,
1,307,1,307,1,307,1,307,1,307,1,308,4,308,3763,8,308,11,308,12,308,
3764,1,308,1,308,1,3753,0,309,1,1,3,2,5,3,7,4,9,5,11,6,13,7,15,8,
17,9,19,10,21,11,23,12,25,13,27,14,29,15,31,16,33,17,35,18,37,19,
39,20,41,21,43,22,45,23,47,24,49,25,51,26,53,27,55,28,57,29,59,30,
61,31,63,32,65,33,67,34,69,35,71,36,73,37,75,38,77,39,79,40,81,41,
83,42,85,43,87,44,89,45,91,46,93,47,95,48,97,49,99,50,101,51,103,
52,105,53,107,54,109,55,111,56,113,57,115,58,117,59,119,60,121,61,
123,62,125,63,127,64,129,65,131,66,133,67,135,68,137,69,139,70,141,
71,143,72,145,73,147,74,149,75,151,76,153,77,155,78,157,79,159,80,
161,81,163,82,165,83,167,84,169,85,171,86,173,87,175,88,177,89,179,
90,181,91,183,92,185,93,187,94,189,95,191,96,193,97,195,98,197,99,
199,100,201,101,203,102,205,103,207,104,209,105,211,106,213,107,
215,108,217,109,219,110,221,111,223,112,225,113,227,114,229,115,
231,116,233,117,235,118,237,119,239,120,241,121,243,122,245,123,
247,124,249,125,251,126,253,127,255,128,257,129,259,130,261,131,
263,132,265,133,267,134,269,135,271,136,273,137,275,138,277,139,
279,140,281,141,283,142,285,143,287,144,289,145,291,146,293,147,
295,148,297,149,299,150,301,151,303,152,305,153,307,154,309,155,
311,156,313,157,315,158,317,159,319,160,321,161,323,162,325,163,
327,164,329,165,331,166,333,167,335,168,337,169,339,170,341,171,
343,172,345,173,347,174,349,175,351,176,353,177,355,178,357,179,
359,180,361,181,363,182,365,183,367,184,369,185,371,186,373,187,
375,188,377,189,379,190,381,191,383,192,385,193,387,194,389,195,
391,196,393,197,395,198,397,199,399,200,401,201,403,202,405,203,
407,204,409,205,411,206,413,207,415,208,417,209,419,210,421,211,
423,212,425,213,427,214,429,215,431,216,433,217,435,218,437,219,
439,220,441,221,443,222,445,223,447,224,449,225,451,226,453,227,
455,228,457,229,459,230,461,231,463,232,465,233,467,234,469,235,
471,236,473,237,475,238,477,239,479,240,481,241,483,242,485,243,
487,244,489,245,491,246,493,247,495,248,497,249,499,250,501,251,
503,252,505,253,507,254,509,255,511,256,513,257,515,258,517,259,
519,260,521,261,523,262,525,263,527,264,529,265,531,266,533,267,
535,268,537,269,539,270,541,271,543,272,545,273,547,274,549,275,
551,276,553,277,555,278,557,279,559,280,561,281,563,282,565,283,
567,284,569,285,571,286,573,287,575,288,577,289,579,290,581,291,
583,292,585,293,587,294,589,295,591,296,593,297,595,298,597,299,
599,300,601,301,603,302,605,303,607,304,609,305,611,306,613,307,
615,308,617,309,1,0,9,1,0,48,57,2,0,69,69,101,101,2,0,43,43,45,45,
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,
10,13,13,32,32,3866,0,1,1,0,0,0,0,3,1,0,0,0,0,5,1,0,0,0,0,7,1,0,
0,0,0,9,1,0,0,0,0,11,1,0,0,0,0,13,1,0,0,0,0,15,1,0,0,0,0,17,1,0,
0,0,0,19,1,0,0,0,0,21,1,0,0,0,0,23,1,0,0,0,0,25,1,0,0,0,0,27,1,0,
0,0,0,29,1,0,0,0,0,31,1,0,0,0,0,33,1,0,0,0,0,35,1,0,0,0,0,37,1,0,
0,0,0,39,1,0,0,0,0,41,1,0,0,0,0,43,1,0,0,0,0,45,1,0,0,0,0,47,1,0,
0,0,0,49,1,0,0,0,0,51,1,0,0,0,0,53,1,0,0,0,0,55,1,0,0,0,0,57,1,0,
0,0,0,59,1,0,0,0,0,61,1,0,0,0,0,63,1,0,0,0,0,65,1,0,0,0,0,67,1,0,
0,0,0,69,1,0,0,0,0,71,1,0,0,0,0,73,1,0,0,0,0,75,1,0,0,0,0,77,1,0,
0,0,0,79,1,0,0,0,0,81,1,0,0,0,0,83,1,0,0,0,0,85,1,0,0,0,0,87,1,0,
0,0,0,89,1,0,0,0,0,91,1,0,0,0,0,93,1,0,0,0,0,95,1,0,0,0,0,97,1,0,
0,0,0,99,1,0,0,0,0,101,1,0,0,0,0,103,1,0,0,0,0,105,1,0,0,0,0,107,
1,0,0,0,0,109,1,0,0,0,0,111,1,0,0,0,0,113,1,0,0,0,0,115,1,0,0,0,
0,117,1,0,0,0,0,119,1,0,0,0,0,121,1,0,0,0,0,123,1,0,0,0,0,125,1,
0,0,0,0,127,1,0,0,0,0,129,1,0,0,0,0,131,1,0,0,0,0,133,1,0,0,0,0,
135,1,0,0,0,0,137,1,0,0,0,0,139,1,0,0,0,0,141,1,0,0,0,0,143,1,0,
0,0,0,145,1,0,0,0,0,147,1,0,0,0,0,149,1,0,0,0,0,151,1,0,0,0,0,153,
1,0,0,0,0,155,1,0,0,0,0,157,1,0,0,0,0,159,1,0,0,0,0,161,1,0,0,0,
0,163,1,0,0,0,0,165,1,0,0,0,0,167,1,0,0,0,0,169,1,0,0,0,0,171,1,
0,0,0,0,173,1,0,0,0,0,175,1,0,0,0,0,177,1,0,0,0,0,179,1,0,0,0,0,
181,1,0,0,0,0,183,1,0,0,0,0,185,1,0,0,0,0,187,1,0,0,0,0,189,1,0,
0,0,0,191,1,0,0,0,0,193,1,0,0,0,0,195,1,0,0,0,0,197,1,0,0,0,0,199,
1,0,0,0,0,201,1,0,0,0,0,203,1,0,0,0,0,205,1,0,0,0,0,207,1,0,0,0,
0,209,1,0,0,0,0,211,1,0,0,0,0,213,1,0,0,0,0,215,1,0,0,0,0,217,1,
0,0,0,0,219,1,0,0,0,0,221,1,0,0,0,0,223,1,0,0,0,0,225,1,0,0,0,0,
227,1,0,0,0,0,229,1,0,0,0,0,231,1,0,0,0,0,233,1,0,0,0,0,235,1,0,
0,0,0,237,1,0,0,0,0,239,1,0,0,0,0,241,1,0,0,0,0,243,1,0,0,0,0,245,
1,0,0,0,0,247,1,0,0,0,0,249,1,0,0,0,0,251,1,0,0,0,0,253,1,0,0,0,
0,255,1,0,0,0,0,257,1,0,0,0,0,259,1,0,0,0,0,261,1,0,0,0,0,263,1,
0,0,0,0,265,1,0,0,0,0,267,1,0,0,0,0,269,1,0,0,0,0,271,1,0,0,0,0,
273,1,0,0,0,0,275,1,0,0,0,0,277,1,0,0,0,0,279,1,0,0,0,0,281,1,0,
0,0,0,283,1,0,0,0,0,285,1,0,0,0,0,287,1,0,0,0,0,289,1,0,0,0,0,291,
1,0,0,0,0,293,1,0,0,0,0,295,1,0,0,0,0,297,1,0,0,0,0,299,1,0,0,0,
0,301,1,0,0,0,0,303,1,0,0,0,0,305,1,0,0,0,0,307,1,0,0,0,0,309,1,
0,0,0,0,311,1,0,0,0,0,313,1,0,0,0,0,315,1,0,0,0,0,317,1,0,0,0,0,
319,1,0,0,0,0,321,1,0,0,0,0,323,1,0,0,0,0,325,1,0,0,0,0,327,1,0,
0,0,0,329,1,0,0,0,0,331,1,0,0,0,0,333,1,0,0,0,0,335,1,0,0,0,0,337,
1,0,0,0,0,339,1,0,0,0,0,341,1,0,0,0,0,343,1,0,0,0,0,345,1,0,0,0,
0,347,1,0,0,0,0,349,1,0,0,0,0,351,1,0,0,0,0,353,1,0,0,0,0,355,1,
0,0,0,0,357,1,0,0,0,0,359,1,0,0,0,0,361,1,0,0,0,0,363,1,0,0,0,0,
365,1,0,0,0,0,367,1,0,0,0,0,369,1,0,0,0,0,371,1,0,0,0,0,373,1,0,
0,0,0,375,1,0,0,0,0,377,1,0,0,0,0,379,1,0,0,0,0,381,1,0,0,0,0,383,
1,0,0,0,0,385,1,0,0,0,0,387,1,0,0,0,0,389,1,0,0,0,0,391,1,0,0,0,
0,393,1,0,0,0,0,395,1,0,0,0,0,397,1,0,0,0,0,399,1,0,0,0,0,401,1,
0,0,0,0,403,1,0,0,0,0,405,1,0,0,0,0,407,1,0,0,0,0,409,1,0,0,0,0,
411,1,0,0,0,0,413,1,0,0,0,0,415,1,0,0,0,0,417,1,0,0,0,0,419,1,0,
0,0,0,421,1,0,0,0,0,423,1,0,0,0,0,425,1,0,0,0,0,427,1,0,0,0,0,429,
1,0,0,0,0,431,1,0,0,0,0,433,1,0,0,0,0,435,1,0,0,0,0,437,1,0,0,0,
0,439,1,0,0,0,0,441,1,0,0,0,0,443,1,0,0,0,0,445,1,0,0,0,0,447,1,
0,0,0,0,449,1,0,0,0,0,451,1,0,0,0,0,453,1,0,0,0,0,455,1,0,0,0,0,
457,1,0,0,0,0,459,1,0,0,0,0,461,1,0,0,0,0,463,1,0,0,0,0,465,1,0,
0,0,0,467,1,0,0,0,0,469,1,0,0,0,0,471,1,0,0,0,0,473,1,0,0,0,0,475,
1,0,0,0,0,477,1,0,0,0,0,479,1,0,0,0,0,481,1,0,0,0,0,483,1,0,0,0,
0,485,1,0,0,0,0,487,1,0,0,0,0,489,1,0,0,0,0,491,1,0,0,0,0,493,1,
0,0,0,0,495,1,0,0,0,0,497,1,0,0,0,0,499,1,0,0,0,0,501,1,0,0,0,0,
503,1,0,0,0,0,505,1,0,0,0,0,507,1,0,0,0,0,509,1,0,0,0,0,511,1,0,
0,0,0,513,1,0,0,0,0,515,1,0,0,0,0,517,1,0,0,0,0,519,1,0,0,0,0,521,
1,0,0,0,0,523,1,0,0,0,0,525,1,0,0,0,0,527,1,0,0,0,0,529,1,0,0,0,
0,531,1,0,0,0,0,533,1,0,0,0,0,535,1,0,0,0,0,537,1,0,0,0,0,539,1,
0,0,0,0,541,1,0,0,0,0,543,1,0,0,0,0,545,1,0,0,0,0,547,1,0,0,0,0,
549,1,0,0,0,0,551,1,0,0,0,0,553,1,0,0,0,0,555,1,0,0,0,0,557,1,0,
0,0,0,559,1,0,0,0,0,561,1,0,0,0,0,563,1,0,0,0,0,565,1,0,0,0,0,567,
1,0,0,0,0,569,1,0,0,0,0,571,1,0,0,0,0,573,1,0,0,0,0,575,1,0,0,0,
0,577,1,0,0,0,0,579,1,0,0,0,0,581,1,0,0,0,0,583,1,0,0,0,0,585,1,
0,0,0,0,587,1,0,0,0,0,589,1,0,0,0,0,591,1,0,0,0,0,593,1,0,0,0,0,
595,1,0,0,0,0,597,1,0,0,0,0,599,1,0,0,0,0,601,1,0,0,0,0,603,1,0,
0,0,0,605,1,0,0,0,0,607,1,0,0,0,0,609,1,0,0,0,0,611,1,0,0,0,0,613,
1,0,0,0,0,615,1,0,0,0,0,617,1,0,0,0,1,619,1,0,0,0,3,623,1,0,0,0,
5,627,1,0,0,0,7,631,1,0,0,0,9,636,1,0,0,0,11,641,1,0,0,0,13,646,
1,0,0,0,15,652,1,0,0,0,17,657,1,0,0,0,19,662,1,0,0,0,21,667,1,0,
0,0,23,673,1,0,0,0,25,679,1,0,0,0,27,685,1,0,0,0,29,689,1,0,0,0,
31,694,1,0,0,0,33,697,1,0,0,0,35,701,1,0,0,0,37,706,1,0,0,0,39,710,
1,0,0,0,41,716,1,0,0,0,43,722,1,0,0,0,45,727,1,0,0,0,47,732,1,0,
0,0,49,743,1,0,0,0,51,753,1,0,0,0,53,763,1,0,0,0,55,768,1,0,0,0,
57,778,1,0,0,0,59,789,1,0,0,0,61,795,1,0,0,0,63,801,1,0,0,0,65,805,
1,0,0,0,67,810,1,0,0,0,69,816,1,0,0,0,71,822,1,0,0,0,73,828,1,0,
0,0,75,837,1,0,0,0,77,842,1,0,0,0,79,847,1,0,0,0,81,852,1,0,0,0,
83,857,1,0,0,0,85,863,1,0,0,0,87,869,1,0,0,0,89,875,1,0,0,0,91,880,
1,0,0,0,93,886,1,0,0,0,95,892,1,0,0,0,97,896,1,0,0,0,99,901,1,0,
0,0,101,913,1,0,0,0,103,930,1,0,0,0,105,951,1,0,0,0,107,964,1,0,
0,0,109,970,1,0,0,0,111,974,1,0,0,0,113,979,1,0,0,0,115,985,1,0,
0,0,117,1006,1,0,0,0,119,1021,1,0,0,0,121,1023,1,0,0,0,123,1028,
1,0,0,0,125,1035,1,0,0,0,127,1041,1,0,0,0,129,1046,1,0,0,0,131,1057,
1,0,0,0,133,1063,1,0,0,0,135,1068,1,0,0,0,137,1077,1,0,0,0,139,1088,
1,0,0,0,141,1097,1,0,0,0,143,1102,1,0,0,0,145,1107,1,0,0,0,147,1112,
1,0,0,0,149,1120,1,0,0,0,151,1128,1,0,0,0,153,1140,1,0,0,0,155,1152,
1,0,0,0,157,1163,1,0,0,0,159,1169,1,0,0,0,161,1192,1,0,0,0,163,1209,
1,0,0,0,165,1211,1,0,0,0,167,1233,1,0,0,0,169,1246,1,0,0,0,171,1259,
1,0,0,0,173,1261,1,0,0,0,175,1267,1,0,0,0,177,1276,1,0,0,0,179,1285,
1,0,0,0,181,1290,1,0,0,0,183,1295,1,0,0,0,185,1300,1,0,0,0,187,1304,
1,0,0,0,189,1308,1,0,0,0,191,1313,1,0,0,0,193,1317,1,0,0,0,195,1321,
1,0,0,0,197,1326,1,0,0,0,199,1334,1,0,0,0,201,1358,1,0,0,0,203,1375,
1,0,0,0,205,1377,1,0,0,0,207,1386,1,0,0,0,209,1390,1,0,0,0,211,1397,
1,0,0,0,213,1401,1,0,0,0,215,1406,1,0,0,0,217,1413,1,0,0,0,219,1417,
1,0,0,0,221,1421,1,0,0,0,223,1426,1,0,0,0,225,1445,1,0,0,0,227,1467,
1,0,0,0,229,1469,1,0,0,0,231,1476,1,0,0,0,233,1481,1,0,0,0,235,1488,
1,0,0,0,237,1516,1,0,0,0,239,1538,1,0,0,0,241,1555,1,0,0,0,243,1576,
1,0,0,0,245,1591,1,0,0,0,247,1593,1,0,0,0,249,1618,1,0,0,0,251,1620,
1,0,0,0,253,1649,1,0,0,0,255,1665,1,0,0,0,257,1667,1,0,0,0,259,1695,
1,0,0,0,261,1722,1,0,0,0,263,1749,1,0,0,0,265,1779,1,0,0,0,267,1805,
1,0,0,0,269,1835,1,0,0,0,271,1869,1,0,0,0,273,1871,1,0,0,0,275,1878,
1,0,0,0,277,1886,1,0,0,0,279,1893,1,0,0,0,281,1903,1,0,0,0,283,1940,
1,0,0,0,285,1942,1,0,0,0,287,1954,1,0,0,0,289,1990,1,0,0,0,291,2010,
1,0,0,0,293,2012,1,0,0,0,295,2031,1,0,0,0,297,2033,1,0,0,0,299,2041,
1,0,0,0,301,2047,1,0,0,0,303,2051,1,0,0,0,305,2057,1,0,0,0,307,2064,
1,0,0,0,309,2070,1,0,0,0,311,2082,1,0,0,0,313,2102,1,0,0,0,315,2126,
1,0,0,0,317,2128,1,0,0,0,319,2149,1,0,0,0,321,2166,1,0,0,0,323,2181,
1,0,0,0,325,2183,1,0,0,0,327,2190,1,0,0,0,329,2196,1,0,0,0,331,2201,
1,0,0,0,333,2205,1,0,0,0,335,2213,1,0,0,0,337,2217,1,0,0,0,339,2221,
1,0,0,0,341,2226,1,0,0,0,343,2240,1,0,0,0,345,2251,1,0,0,0,347,2265,
1,0,0,0,349,2289,1,0,0,0,351,2291,1,0,0,0,353,2302,1,0,0,0,355,2312,
1,0,0,0,357,2324,1,0,0,0,359,2334,1,0,0,0,361,2364,1,0,0,0,363,2366,
1,0,0,0,365,2372,1,0,0,0,367,2380,1,0,0,0,369,2384,1,0,0,0,371,2390,
1,0,0,0,373,2396,1,0,0,0,375,2402,1,0,0,0,377,2407,1,0,0,0,379,2413,
1,0,0,0,381,2433,1,0,0,0,383,2435,1,0,0,0,385,2440,1,0,0,0,387,2448,
1,0,0,0,389,2461,1,0,0,0,391,2475,1,0,0,0,393,2500,1,0,0,0,395,2522,
1,0,0,0,397,2524,1,0,0,0,399,2531,1,0,0,0,401,2537,1,0,0,0,403,2548,
1,0,0,0,405,2560,1,0,0,0,407,2573,1,0,0,0,409,2583,1,0,0,0,411,2597,
1,0,0,0,413,2610,1,0,0,0,415,2624,1,0,0,0,417,2635,1,0,0,0,419,2646,
1,0,0,0,421,2657,1,0,0,0,423,2668,1,0,0,0,425,2687,1,0,0,0,427,2748,
1,0,0,0,429,2750,1,0,0,0,431,2786,1,0,0,0,433,2819,1,0,0,0,435,2840,
1,0,0,0,437,2842,1,0,0,0,439,2845,1,0,0,0,441,2850,1,0,0,0,443,2856,
1,0,0,0,445,2860,1,0,0,0,447,2863,1,0,0,0,449,2869,1,0,0,0,451,2878,
1,0,0,0,453,2897,1,0,0,0,455,2899,1,0,0,0,457,2904,1,0,0,0,459,2912,
1,0,0,0,461,2919,1,0,0,0,463,2926,1,0,0,0,465,2934,1,0,0,0,467,2942,
1,0,0,0,469,2949,1,0,0,0,471,2954,1,0,0,0,473,2965,1,0,0,0,475,2974,
1,0,0,0,477,2982,1,0,0,0,479,2992,1,0,0,0,481,2997,1,0,0,0,483,3016,
1,0,0,0,485,3018,1,0,0,0,487,3026,1,0,0,0,489,3047,1,0,0,0,491,3066,
1,0,0,0,493,3068,1,0,0,0,495,3075,1,0,0,0,497,3083,1,0,0,0,499,3118,
1,0,0,0,501,3134,1,0,0,0,503,3152,1,0,0,0,505,3177,1,0,0,0,507,3197,
1,0,0,0,509,3222,1,0,0,0,511,3247,1,0,0,0,513,3270,1,0,0,0,515,3291,
1,0,0,0,517,3310,1,0,0,0,519,3331,1,0,0,0,521,3352,1,0,0,0,523,3377,
1,0,0,0,525,3398,1,0,0,0,527,3419,1,0,0,0,529,3441,1,0,0,0,531,3461,
1,0,0,0,533,3511,1,0,0,0,535,3541,1,0,0,0,537,3561,1,0,0,0,539,3591,
1,0,0,0,541,3593,1,0,0,0,543,3595,1,0,0,0,545,3597,1,0,0,0,547,3599,
1,0,0,0,549,3601,1,0,0,0,551,3603,1,0,0,0,553,3605,1,0,0,0,555,3608,
1,0,0,0,557,3611,1,0,0,0,559,3614,1,0,0,0,561,3616,1,0,0,0,563,3619,
1,0,0,0,565,3621,1,0,0,0,567,3624,1,0,0,0,569,3626,1,0,0,0,571,3629,
1,0,0,0,573,3632,1,0,0,0,575,3635,1,0,0,0,577,3638,1,0,0,0,579,3641,
1,0,0,0,581,3644,1,0,0,0,583,3646,1,0,0,0,585,3648,1,0,0,0,587,3650,
1,0,0,0,589,3652,1,0,0,0,591,3654,1,0,0,0,593,3657,1,0,0,0,595,3659,
1,0,0,0,597,3661,1,0,0,0,599,3663,1,0,0,0,601,3665,1,0,0,0,603,3667,
1,0,0,0,605,3689,1,0,0,0,607,3707,1,0,0,0,609,3729,1,0,0,0,611,3731,
1,0,0,0,613,3738,1,0,0,0,615,3747,1,0,0,0,617,3762,1,0,0,0,619,620,
5,115,0,0,620,621,5,105,0,0,621,622,5,110,0,0,622,2,1,0,0,0,623,
624,5,99,0,0,624,625,5,111,0,0,625,626,5,115,0,0,626,4,1,0,0,0,627,
628,5,116,0,0,628,629,5,97,0,0,629,630,5,110,0,0,630,6,1,0,0,0,631,
632,5,97,0,0,632,633,5,115,0,0,633,634,5,105,0,0,634,635,5,110,0,
0,635,8,1,0,0,0,636,637,5,97,0,0,637,638,5,99,0,0,638,639,5,111,
0,0,639,640,5,115,0,0,640,10,1,0,0,0,641,642,5,97,0,0,642,643,5,
116,0,0,643,644,5,97,0,0,644,645,5,110,0,0,645,12,1,0,0,0,646,647,
5,97,0,0,647,648,5,116,0,0,648,649,5,97,0,0,649,650,5,110,0,0,650,
651,5,50,0,0,651,14,1,0,0,0,652,653,5,115,0,0,653,654,5,105,0,0,
654,655,5,110,0,0,655,656,5,104,0,0,656,16,1,0,0,0,657,658,5,99,
0,0,658,659,5,111,0,0,659,660,5,115,0,0,660,661,5,104,0,0,661,18,
1,0,0,0,662,663,5,116,0,0,663,664,5,97,0,0,664,665,5,110,0,0,665,
666,5,104,0,0,666,20,1,0,0,0,667,668,5,97,0,0,668,669,5,115,0,0,
669,670,5,105,0,0,670,671,5,110,0,0,671,672,5,104,0,0,672,22,1,0,
0,0,673,674,5,97,0,0,674,675,5,99,0,0,675,676,5,111,0,0,676,677,
5,115,0,0,677,678,5,104,0,0,678,24,1,0,0,0,679,680,5,97,0,0,680,
681,5,116,0,0,681,682,5,97,0,0,682,683,5,110,0,0,683,684,5,104,0,
0,684,26,1,0,0,0,685,686,5,97,0,0,686,687,5,98,0,0,687,688,5,115,
0,0,688,28,1,0,0,0,689,690,5,115,0,0,690,691,5,113,0,0,691,692,5,
114,0,0,692,693,5,116,0,0,693,30,1,0,0,0,694,695,5,108,0,0,695,696,
5,110,0,0,696,32,1,0,0,0,697,698,5,108,0,0,698,699,5,111,0,0,699,
700,5,103,0,0,700,34,1,0,0,0,701,702,5,108,0,0,702,703,5,111,0,0,
703,704,5,103,0,0,704,705,5,50,0,0,705,36,1,0,0,0,706,707,5,101,
0,0,707,708,5,120,0,0,708,709,5,112,0,0,709,38,1,0,0,0,710,711,5,
108,0,0,711,712,5,111,0,0,712,713,5,103,0,0,713,714,5,49,0,0,714,
715,5,112,0,0,715,40,1,0,0,0,716,717,5,101,0,0,717,718,5,120,0,0,
718,719,5,112,0,0,719,720,5,109,0,0,720,721,5,49,0,0,721,42,1,0,
0,0,722,723,5,115,0,0,723,724,5,105,0,0,724,725,5,110,0,0,725,726,
5,99,0,0,726,44,1,0,0,0,727,728,5,99,0,0,728,729,5,98,0,0,729,730,
5,114,0,0,730,731,5,116,0,0,731,46,1,0,0,0,732,733,5,114,0,0,733,
734,5,101,0,0,734,735,5,99,0,0,735,736,5,105,0,0,736,737,5,112,0,
0,737,738,5,114,0,0,738,739,5,111,0,0,739,740,5,99,0,0,740,741,5,
97,0,0,741,742,5,108,0,0,742,48,1,0,0,0,743,744,5,108,0,0,744,745,
5,111,0,0,745,746,5,103,0,0,746,747,5,97,0,0,747,748,5,100,0,0,748,
749,5,100,0,0,749,750,5,101,0,0,750,751,5,120,0,0,751,752,5,112,
0,0,752,50,1,0,0,0,753,754,5,108,0,0,754,755,5,111,0,0,755,756,5,
103,0,0,756,757,5,115,0,0,757,758,5,117,0,0,758,759,5,109,0,0,759,
760,5,101,0,0,760,761,5,120,0,0,761,762,5,112,0,0,762,52,1,0,0,0,
763,764,5,110,0,0,764,765,5,111,0,0,765,766,5,114,0,0,766,767,5,
109,0,0,767,54,1,0,0,0,768,769,5,110,0,0,769,770,5,111,0,0,770,771,
5,114,0,0,771,772,5,109,0,0,772,773,5,97,0,0,773,774,5,108,0,0,774,
775,5,105,0,0,775,776,5,122,0,0,776,777,5,101,0,0,777,56,1,0,0,0,
778,779,5,103,0,0,779,780,5,114,0,0,780,781,5,111,0,0,781,782,5,
117,0,0,782,783,5,112,0,0,783,784,5,95,0,0,784,785,5,110,0,0,785,
786,5,111,0,0,786,787,5,114,0,0,787,788,5,109,0,0,788,58,1,0,0,0,
789,790,5,111,0,0,790,791,5,117,0,0,791,792,5,116,0,0,792,793,5,
101,0,0,793,794,5,114,0,0,794,60,1,0,0,0,795,796,5,116,0,0,796,797,
5,114,0,0,797,798,5,97,0,0,798,799,5,99,0,0,799,800,5,101,0,0,800,
62,1,0,0,0,801,802,5,100,0,0,802,803,5,101,0,0,803,804,5,116,0,0,
804,64,1,0,0,0,805,806,5,114,0,0,806,807,5,102,0,0,807,808,5,102,
0,0,808,809,5,116,0,0,809,66,1,0,0,0,810,811,5,105,0,0,811,812,5,
114,0,0,812,813,5,102,0,0,813,814,5,102,0,0,814,815,5,116,0,0,815,
68,1,0,0,0,816,817,5,105,0,0,817,818,5,115,0,0,818,819,5,110,0,0,
819,820,5,97,0,0,820,821,5,110,0,0,821,70,1,0,0,0,822,823,5,105,
0,0,823,824,5,115,0,0,824,825,5,105,0,0,825,826,5,110,0,0,826,827,
5,102,0,0,827,72,1,0,0,0,828,829,5,105,0,0,829,830,5,115,0,0,830,
831,5,102,0,0,831,832,5,105,0,0,832,833,5,110,0,0,833,834,5,105,
0,0,834,835,5,116,0,0,835,836,5,101,0,0,836,74,1,0,0,0,837,838,5,
115,0,0,838,839,5,109,0,0,839,840,5,105,0,0,840,841,5,110,0,0,841,
76,1,0,0,0,842,843,5,115,0,0,843,844,5,109,0,0,844,845,5,97,0,0,
845,846,5,120,0,0,846,78,1,0,0,0,847,848,5,116,0,0,848,849,5,109,
0,0,849,850,5,105,0,0,850,851,5,110,0,0,851,80,1,0,0,0,852,853,5,
116,0,0,853,854,5,109,0,0,854,855,5,97,0,0,855,856,5,120,0,0,856,
82,1,0,0,0,857,858,5,116,0,0,858,859,5,110,0,0,859,860,5,111,0,0,
860,861,5,114,0,0,861,862,5,109,0,0,862,84,1,0,0,0,863,864,5,115,
0,0,864,865,5,110,0,0,865,866,5,111,0,0,866,867,5,114,0,0,867,868,
5,109,0,0,868,86,1,0,0,0,869,870,5,102,0,0,870,871,5,108,0,0,871,
872,5,111,0,0,872,873,5,111,0,0,873,874,5,114,0,0,874,88,1,0,0,0,
875,876,5,99,0,0,876,877,5,101,0,0,877,878,5,105,0,0,878,879,5,108,
0,0,879,90,1,0,0,0,880,881,5,114,0,0,881,882,5,111,0,0,882,883,5,
117,0,0,883,884,5,110,0,0,884,885,5,100,0,0,885,92,1,0,0,0,886,887,
5,103,0,0,887,888,5,97,0,0,888,889,5,109,0,0,889,890,5,109,0,0,890,
891,5,97,0,0,891,94,1,0,0,0,892,893,5,112,0,0,893,894,5,111,0,0,
894,895,5,119,0,0,895,96,1,0,0,0,896,897,5,115,0,0,897,898,5,105,
0,0,898,899,5,103,0,0,899,900,5,109,0,0,900,98,1,0,0,0,901,902,5,
115,0,0,902,903,5,105,0,0,903,904,5,103,0,0,904,905,5,109,0,0,905,
906,5,95,0,0,906,907,5,107,0,0,907,908,5,97,0,0,908,909,5,114,0,
0,909,910,5,114,0,0,910,911,5,97,0,0,911,912,5,115,0,0,912,100,1,
0,0,0,913,914,5,115,0,0,914,915,5,105,0,0,915,916,5,103,0,0,916,
917,5,109,0,0,917,918,5,95,0,0,918,919,5,101,0,0,919,920,5,120,0,
0,920,921,5,112,0,0,921,922,5,111,0,0,922,923,5,110,0,0,923,924,
5,101,0,0,924,925,5,110,0,0,925,926,5,116,0,0,926,927,5,105,0,0,
927,928,5,97,0,0,928,929,5,108,0,0,929,102,1,0,0,0,930,931,5,115,
0,0,931,932,5,105,0,0,932,933,5,103,0,0,933,934,5,109,0,0,934,935,
5,95,0,0,935,936,5,112,0,0,936,937,5,111,0,0,937,938,5,108,0,0,938,
939,5,121,0,0,939,940,5,101,0,0,940,941,5,120,0,0,941,942,5,112,
0,0,942,943,5,111,0,0,943,944,5,110,0,0,944,945,5,101,0,0,945,946,
5,110,0,0,946,947,5,116,0,0,947,948,5,105,0,0,948,949,5,97,0,0,949,
950,5,108,0,0,950,104,1,0,0,0,951,952,5,115,0,0,952,953,5,105,0,
0,953,954,5,103,0,0,954,955,5,109,0,0,955,956,5,95,0,0,956,957,5,
108,0,0,957,958,5,97,0,0,958,959,5,112,0,0,959,960,5,108,0,0,960,
961,5,97,0,0,961,962,5,99,0,0,962,963,5,101,0,0,963,106,1,0,0,0,
964,965,5,99,0,0,965,966,5,108,0,0,966,967,5,97,0,0,967,968,5,109,
0,0,968,969,5,112,0,0,969,108,1,0,0,0,970,971,5,102,0,0,971,972,
5,102,0,0,972,973,5,116,0,0,973,110,1,0,0,0,974,975,5,105,0,0,975,
976,5,102,0,0,976,977,5,102,0,0,977,978,5,116,0,0,978,112,1,0,0,
0,979,980,5,97,0,0,980,981,5,110,0,0,981,982,5,103,0,0,982,983,5,
108,0,0,983,984,5,101,0,0,984,114,1,0,0,0,985,986,5,112,0,0,986,
987,5,114,0,0,987,988,5,105,0,0,988,989,5,110,0,0,989,990,5,116,
0,0,990,116,1,0,0,0,991,992,5,112,0,0,992,993,5,114,0,0,993,994,
5,105,0,0,994,995,5,110,0,0,995,996,5,116,0,0,996,997,5,95,0,0,997,
998,5,115,0,0,998,999,5,104,0,0,999,1000,5,97,0,0,1000,1001,5,112,
0,0,1001,1007,5,101,0,0,1002,1003,5,112,0,0,1003,1004,5,115,0,0,
1004,1005,5,104,0,0,1005,1007,5,112,0,0,1006,991,1,0,0,0,1006,1002,
1,0,0,0,1007,118,1,0,0,0,1008,1009,5,110,0,0,1009,1010,5,118,0,0,
1010,1022,5,108,0,0,1011,1012,5,110,0,0,1012,1013,5,97,0,0,1013,
1014,5,110,0,0,1014,1015,5,95,0,0,1015,1016,5,116,0,0,1016,1017,
5,111,0,0,1017,1018,5,95,0,0,1018,1019,5,110,0,0,1019,1020,5,117,
0,0,1020,1022,5,109,0,0,1021,1008,1,0,0,0,1021,1011,1,0,0,0,1022,
120,1,0,0,0,1023,1024,5,108,0,0,1024,1025,5,101,0,0,1025,1026,5,
114,0,0,1026,1027,5,112,0,0,1027,122,1,0,0,0,1028,1029,5,105,0,0,
1029,1030,5,110,0,0,1030,1031,5,116,0,0,1031,1032,5,101,0,0,1032,
1033,5,114,0,0,1033,1034,5,112,0,0,1034,124,1,0,0,0,1035,1036,5,
115,0,0,1036,1037,5,108,0,0,1037,1038,5,101,0,0,1038,1039,5,114,
0,0,1039,1040,5,112,0,0,1040,126,1,0,0,0,1041,1042,5,115,0,0,1042,
1043,5,116,0,0,1043,1044,5,101,0,0,1044,1045,5,112,0,0,1045,128,
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,
1052,1053,5,115,0,0,1053,1054,5,116,0,0,1054,1055,5,101,0,0,1055,
1056,5,112,0,0,1056,130,1,0,0,0,1057,1058,5,102,0,0,1058,1059,5,
114,0,0,1059,1060,5,97,0,0,1060,1061,5,99,0,0,1061,1062,5,116,0,
0,1062,132,1,0,0,0,1063,1064,5,114,0,0,1064,1065,5,101,0,0,1065,
1066,5,108,0,0,1066,1067,5,117,0,0,1067,134,1,0,0,0,1068,1069,5,
115,0,0,1069,1070,5,111,0,0,1070,1071,5,102,0,0,1071,1072,5,116,
0,0,1072,1073,5,115,0,0,1073,1074,5,105,0,0,1074,1075,5,103,0,0,
1075,1076,5,110,0,0,1076,136,1,0,0,0,1077,1078,5,108,0,0,1078,1079,
5,101,0,0,1079,1080,5,97,0,0,1080,1081,5,107,0,0,1081,1082,5,121,
0,0,1082,1083,5,95,0,0,1083,1084,5,114,0,0,1084,1085,5,101,0,0,1085,
1086,5,108,0,0,1086,1087,5,117,0,0,1087,138,1,0,0,0,1088,1089,5,
115,0,0,1089,1090,5,111,0,0,1090,1091,5,102,0,0,1091,1092,5,116,
0,0,1092,1093,5,112,0,0,1093,1094,5,108,0,0,1094,1095,5,117,0,0,
1095,1096,5,115,0,0,1096,140,1,0,0,0,1097,1098,5,103,0,0,1098,1099,
5,101,0,0,1099,1100,5,108,0,0,1100,1101,5,117,0,0,1101,142,1,0,0,
0,1102,1103,5,115,0,0,1103,1104,5,105,0,0,1104,1105,5,108,0,0,1105,
1106,5,117,0,0,1106,144,1,0,0,0,1107,1108,5,115,0,0,1108,1109,5,
105,0,0,1109,1110,5,103,0,0,1110,1111,5,110,0,0,1111,146,1,0,0,0,
1112,1113,5,100,0,0,1113,1114,5,101,0,0,1114,1115,5,103,0,0,1115,
1116,5,114,0,0,1116,1117,5,101,0,0,1117,1118,5,101,0,0,1118,1119,
5,115,0,0,1119,148,1,0,0,0,1120,1121,5,114,0,0,1121,1122,5,97,0,
0,1122,1123,5,100,0,0,1123,1124,5,105,0,0,1124,1125,5,97,0,0,1125,
1126,5,110,0,0,1126,1127,5,115,0,0,1127,150,1,0,0,0,1128,1129,5,
108,0,0,1129,1130,5,111,0,0,1130,1131,5,103,0,0,1131,1132,5,105,
0,0,1132,1133,5,99,0,0,1133,1134,5,97,0,0,1134,1135,5,108,0,0,1135,
1136,5,95,0,0,1136,1137,5,110,0,0,1137,1138,5,111,0,0,1138,1139,
5,116,0,0,1139,152,1,0,0,0,1140,1141,5,108,0,0,1141,1142,5,111,0,
0,1142,1143,5,103,0,0,1143,1144,5,105,0,0,1144,1145,5,99,0,0,1145,
1146,5,97,0,0,1146,1147,5,108,0,0,1147,1148,5,95,0,0,1148,1149,5,
97,0,0,1149,1150,5,110,0,0,1150,1151,5,100,0,0,1151,154,1,0,0,0,
1152,1153,5,108,0,0,1153,1154,5,111,0,0,1154,1155,5,103,0,0,1155,
1156,5,105,0,0,1156,1157,5,99,0,0,1157,1158,5,97,0,0,1158,1159,5,
108,0,0,1159,1160,5,95,0,0,1160,1161,5,111,0,0,1161,1162,5,114,0,
0,1162,156,1,0,0,0,1163,1164,5,104,0,0,1164,1165,5,121,0,0,1165,
1166,5,112,0,0,1166,1167,5,111,0,0,1167,1168,5,116,0,0,1168,158,
1,0,0,0,1169,1170,5,109,0,0,1170,1171,5,97,0,0,1171,1172,5,112,0,
0,1172,160,1,0,0,0,1173,1174,5,101,0,0,1174,1175,5,122,0,0,1175,
1176,5,99,0,0,1176,1177,5,111,0,0,1177,1178,5,110,0,0,1178,1179,
5,118,0,0,1179,1180,5,111,0,0,1180,1181,5,108,0,0,1181,1182,5,117,
0,0,1182,1183,5,116,0,0,1183,1184,5,105,0,0,1184,1185,5,111,0,0,
1185,1193,5,110,0,0,1186,1187,5,101,0,0,1187,1188,5,122,0,0,1188,
1189,5,99,0,0,1189,1190,5,111,0,0,1190,1191,5,110,0,0,1191,1193,
5,118,0,0,1192,1173,1,0,0,0,1192,1186,1,0,0,0,1193,162,1,0,0,0,1194,
1195,5,99,0,0,1195,1196,5,111,0,0,1196,1197,5,110,0,0,1197,1198,
5,118,0,0,1198,1199,5,111,0,0,1199,1200,5,108,0,0,1200,1201,5,117,
0,0,1201,1202,5,116,0,0,1202,1203,5,105,0,0,1203,1204,5,111,0,0,
1204,1210,5,110,0,0,1205,1206,5,99,0,0,1206,1207,5,111,0,0,1207,
1208,5,110,0,0,1208,1210,5,118,0,0,1209,1194,1,0,0,0,1209,1205,1,
0,0,0,1210,164,1,0,0,0,1211,1212,5,115,0,0,1212,1213,5,119,0,0,1213,
1214,5,97,0,0,1214,1215,5,112,0,0,1215,166,1,0,0,0,1216,1217,5,116,
0,0,1217,1218,5,114,0,0,1218,1219,5,97,0,0,1219,1220,5,110,0,0,1220,
1221,5,115,0,0,1221,1222,5,112,0,0,1222,1223,5,111,0,0,1223,1224,
5,115,0,0,1224,1234,5,101,0,0,1225,1226,5,115,0,0,1226,1227,5,119,
0,0,1227,1228,5,97,0,0,1228,1229,5,112,0,0,1229,1230,5,97,0,0,1230,
1231,5,120,0,0,1231,1232,5,101,0,0,1232,1234,5,115,0,0,1233,1216,
1,0,0,0,1233,1225,1,0,0,0,1234,168,1,0,0,0,1235,1236,5,112,0,0,1236,
1237,5,101,0,0,1237,1238,5,114,0,0,1238,1239,5,109,0,0,1239,1240,
5,117,0,0,1240,1241,5,116,0,0,1241,1247,5,101,0,0,1242,1243,5,112,
0,0,1243,1244,5,101,0,0,1244,1245,5,114,0,0,1245,1247,5,109,0,0,
1246,1235,1,0,0,0,1246,1242,1,0,0,0,1247,170,1,0,0,0,1248,1249,5,
114,0,0,1249,1250,5,101,0,0,1250,1251,5,115,0,0,1251,1252,5,104,
0,0,1252,1253,5,97,0,0,1253,1254,5,112,0,0,1254,1260,5,101,0,0,1255,
1256,5,114,0,0,1256,1257,5,115,0,0,1257,1258,5,104,0,0,1258,1260,
5,112,0,0,1259,1248,1,0,0,0,1259,1255,1,0,0,0,1260,172,1,0,0,0,1261,
1262,5,114,0,0,1262,1263,5,97,0,0,1263,1264,5,110,0,0,1264,1265,
5,103,0,0,1265,1266,5,101,0,0,1266,174,1,0,0,0,1267,1268,5,108,0,
0,1268,1269,5,105,0,0,1269,1270,5,110,0,0,1270,1271,5,115,0,0,1271,
1272,5,112,0,0,1272,1273,5,97,0,0,1273,1274,5,99,0,0,1274,1275,5,
101,0,0,1275,176,1,0,0,0,1276,1277,5,108,0,0,1277,1278,5,111,0,0,
1278,1279,5,103,0,0,1279,1280,5,115,0,0,1280,1281,5,112,0,0,1281,
1282,5,97,0,0,1282,1283,5,99,0,0,1283,1284,5,101,0,0,1284,178,1,
0,0,0,1285,1286,5,116,0,0,1286,1287,5,111,0,0,1287,1288,5,112,0,
0,1288,1289,5,107,0,0,1289,180,1,0,0,0,1290,1291,5,98,0,0,1291,1292,
5,111,0,0,1292,1293,5,116,0,0,1293,1294,5,107,0,0,1294,182,1,0,0,
0,1295,1296,5,112,0,0,1296,1297,5,105,0,0,1297,1298,5,110,0,0,1298,
1299,5,118,0,0,1299,184,1,0,0,0,1300,1301,5,105,0,0,1301,1302,5,
110,0,0,1302,1303,5,118,0,0,1303,186,1,0,0,0,1304,1305,5,115,0,0,
1305,1306,5,117,0,0,1306,1307,5,109,0,0,1307,188,1,0,0,0,1308,1309,
5,109,0,0,1309,1310,5,101,0,0,1310,1311,5,97,0,0,1311,1312,5,110,
0,0,1312,190,1,0,0,0,1313,1314,5,115,0,0,1314,1315,5,116,0,0,1315,
1316,5,100,0,0,1316,192,1,0,0,0,1317,1318,5,118,0,0,1318,1319,5,
97,0,0,1319,1320,5,114,0,0,1320,194,1,0,0,0,1321,1322,5,112,0,0,
1322,1323,5,114,0,0,1323,1324,5,111,0,0,1324,1325,5,100,0,0,1325,
196,1,0,0,0,1326,1327,5,105,0,0,1327,1328,5,115,0,0,1328,1329,5,
99,0,0,1329,1330,5,108,0,0,1330,1331,5,111,0,0,1331,1332,5,115,0,
0,1332,1333,5,101,0,0,1333,198,1,0,0,0,1334,1335,5,97,0,0,1335,1336,
5,108,0,0,1336,1337,5,108,0,0,1337,1338,5,99,0,0,1338,1339,5,108,
0,0,1339,1340,5,111,0,0,1340,1341,5,115,0,0,1341,1342,5,101,0,0,
1342,200,1,0,0,0,1343,1344,5,113,0,0,1344,1345,5,117,0,0,1345,1346,
5,97,0,0,1346,1347,5,114,0,0,1347,1348,5,116,0,0,1348,1349,5,105,
0,0,1349,1350,5,108,0,0,1350,1359,5,101,0,0,1351,1352,5,113,0,0,
1352,1353,5,117,0,0,1353,1354,5,97,0,0,1354,1355,5,114,0,0,1355,
1356,5,116,0,0,1356,1357,5,105,0,0,1357,1359,5,108,0,0,1358,1343,
1,0,0,0,1358,1351,1,0,0,0,1359,202,1,0,0,0,1360,1361,5,112,0,0,1361,
1362,5,101,0,0,1362,1363,5,114,0,0,1363,1364,5,99,0,0,1364,1365,
5,101,0,0,1365,1366,5,110,0,0,1366,1367,5,116,0,0,1367,1368,5,105,
0,0,1368,1369,5,108,0,0,1369,1376,5,101,0,0,1370,1371,5,112,0,0,
1371,1372,5,114,0,0,1372,1373,5,99,0,0,1373,1374,5,110,0,0,1374,
1376,5,116,0,0,1375,1360,1,0,0,0,1375,1370,1,0,0,0,1376,204,1,0,
0,0,1377,1378,5,113,0,0,1378,1379,5,117,0,0,1379,1380,5,97,0,0,1380,
1381,5,110,0,0,1381,1382,5,116,0,0,1382,1383,5,105,0,0,1383,1384,
5,108,0,0,1384,1385,5,101,0,0,1385,206,1,0,0,0,1386,1387,5,100,0,
0,1387,1388,5,111,0,0,1388,1389,5,116,0,0,1389,208,1,0,0,0,1390,
1391,5,109,0,0,1391,1392,5,111,0,0,1392,1393,5,109,0,0,1393,1394,
5,101,0,0,1394,1395,5,110,0,0,1395,1396,5,116,0,0,1396,210,1,0,0,
0,1397,1398,5,101,0,0,1398,1399,5,114,0,0,1399,1400,5,102,0,0,1400,
212,1,0,0,0,1401,1402,5,101,0,0,1402,1403,5,114,0,0,1403,1404,5,
102,0,0,1404,1405,5,99,0,0,1405,214,1,0,0,0,1406,1407,5,101,0,0,
1407,1408,5,114,0,0,1408,1409,5,102,0,0,1409,1410,5,105,0,0,1410,
1411,5,110,0,0,1411,1412,5,118,0,0,1412,216,1,0,0,0,1413,1414,5,
97,0,0,1414,1415,5,110,0,0,1415,1416,5,121,0,0,1416,218,1,0,0,0,
1417,1418,5,97,0,0,1418,1419,5,108,0,0,1419,1420,5,108,0,0,1420,
220,1,0,0,0,1421,1422,5,101,0,0,1422,1423,5,100,0,0,1423,1424,5,
103,0,0,1424,1425,5,101,0,0,1425,222,1,0,0,0,1426,1427,5,100,0,0,
1427,1428,5,105,0,0,1428,1429,5,115,0,0,1429,1430,5,116,0,0,1430,
1431,5,97,0,0,1431,1432,5,110,0,0,1432,1433,5,99,0,0,1433,1434,5,
101,0,0,1434,1435,5,95,0,0,1435,1436,5,116,0,0,1436,1437,5,114,0,
0,1437,1438,5,97,0,0,1438,1439,5,110,0,0,1439,1440,5,115,0,0,1440,
1441,5,102,0,0,1441,1442,5,111,0,0,1442,1443,5,114,0,0,1443,1444,
5,109,0,0,1444,224,1,0,0,0,1445,1446,5,103,0,0,1446,1447,5,114,0,
0,1447,1448,5,97,0,0,1448,1449,5,121,0,0,1449,1450,5,115,0,0,1450,
1451,5,99,0,0,1451,1452,5,97,0,0,1452,1453,5,108,0,0,1453,1454,5,
101,0,0,1454,226,1,0,0,0,1455,1456,5,98,0,0,1456,1457,5,108,0,0,
1457,1458,5,117,0,0,1458,1468,5,114,0,0,1459,1460,5,103,0,0,1460,
1461,5,97,0,0,1461,1462,5,117,0,0,1462,1463,5,115,0,0,1463,1464,
5,115,0,0,1464,1465,5,105,0,0,1465,1466,5,97,0,0,1466,1468,5,110,
0,0,1467,1455,1,0,0,0,1467,1459,1,0,0,0,1468,228,1,0,0,0,1469,1470,
5,109,0,0,1470,1471,5,101,0,0,1471,1472,5,100,0,0,1472,1473,5,105,
0,0,1473,1474,5,97,0,0,1474,1475,5,110,0,0,1475,230,1,0,0,0,1476,
1477,5,109,0,0,1477,1478,5,111,0,0,1478,1479,5,100,0,0,1479,1480,
5,101,0,0,1480,232,1,0,0,0,1481,1482,5,99,0,0,1482,1483,5,117,0,
0,1483,1484,5,109,0,0,1484,1485,5,115,0,0,1485,1486,5,117,0,0,1486,
1487,5,109,0,0,1487,234,1,0,0,0,1488,1489,5,99,0,0,1489,1490,5,117,
0,0,1490,1491,5,109,0,0,1491,1492,5,112,0,0,1492,1493,5,114,0,0,
1493,1494,5,111,0,0,1494,1495,5,100,0,0,1495,236,1,0,0,0,1496,1497,
5,116,0,0,1497,1498,5,111,0,0,1498,1499,5,112,0,0,1499,1500,5,107,
0,0,1500,1501,5,95,0,0,1501,1502,5,105,0,0,1502,1503,5,110,0,0,1503,
1517,5,100,0,0,1504,1505,5,116,0,0,1505,1506,5,111,0,0,1506,1507,
5,112,0,0,1507,1508,5,107,0,0,1508,1509,5,95,0,0,1509,1510,5,105,
0,0,1510,1511,5,110,0,0,1511,1512,5,100,0,0,1512,1513,5,105,0,0,
1513,1514,5,99,0,0,1514,1515,5,101,0,0,1515,1517,5,115,0,0,1516,
1496,1,0,0,0,1516,1504,1,0,0,0,1517,238,1,0,0,0,1518,1519,5,98,0,
0,1519,1520,5,111,0,0,1520,1521,5,116,0,0,1521,1522,5,107,0,0,1522,
1523,5,95,0,0,1523,1524,5,105,0,0,1524,1525,5,110,0,0,1525,1539,
5,100,0,0,1526,1527,5,98,0,0,1527,1528,5,111,0,0,1528,1529,5,116,
0,0,1529,1530,5,107,0,0,1530,1531,5,95,0,0,1531,1532,5,105,0,0,1532,
1533,5,110,0,0,1533,1534,5,100,0,0,1534,1535,5,105,0,0,1535,1536,
5,99,0,0,1536,1537,5,101,0,0,1537,1539,5,115,0,0,1538,1518,1,0,0,
0,1538,1526,1,0,0,0,1539,240,1,0,0,0,1540,1541,5,99,0,0,1541,1542,
5,117,0,0,1542,1543,5,98,0,0,1543,1544,5,105,0,0,1544,1545,5,99,
0,0,1545,1546,5,95,0,0,1546,1547,5,101,0,0,1547,1548,5,97,0,0,1548,
1549,5,115,0,0,1549,1556,5,101,0,0,1550,1551,5,99,0,0,1551,1552,
5,117,0,0,1552,1553,5,98,0,0,1553,1554,5,105,0,0,1554,1556,5,99,
0,0,1555,1540,1,0,0,0,1555,1550,1,0,0,0,1556,242,1,0,0,0,1557,1558,
5,101,0,0,1558,1559,5,108,0,0,1559,1560,5,97,0,0,1560,1561,5,115,
0,0,1561,1562,5,116,0,0,1562,1563,5,105,0,0,1563,1564,5,99,0,0,1564,
1565,5,95,0,0,1565,1566,5,101,0,0,1566,1567,5,97,0,0,1567,1568,5,
115,0,0,1568,1577,5,101,0,0,1569,1570,5,101,0,0,1570,1571,5,108,
0,0,1571,1572,5,97,0,0,1572,1573,5,115,0,0,1573,1574,5,116,0,0,1574,
1575,5,105,0,0,1575,1577,5,99,0,0,1576,1557,1,0,0,0,1576,1569,1,
0,0,0,1577,244,1,0,0,0,1578,1579,5,115,0,0,1579,1580,5,105,0,0,1580,
1581,5,110,0,0,1581,1582,5,101,0,0,1582,1583,5,95,0,0,1583,1584,
5,101,0,0,1584,1585,5,97,0,0,1585,1586,5,115,0,0,1586,1592,5,101,
0,0,1587,1588,5,115,0,0,1588,1589,5,105,0,0,1589,1590,5,110,0,0,
1590,1592,5,101,0,0,1591,1578,1,0,0,0,1591,1587,1,0,0,0,1592,246,
1,0,0,0,1593,1594,5,115,0,0,1594,1595,5,109,0,0,1595,1596,5,111,
0,0,1596,1597,5,111,0,0,1597,1598,5,116,0,0,1598,1599,5,104,0,0,
1599,1600,5,101,0,0,1600,1601,5,114,0,0,1601,1602,5,115,0,0,1602,
1603,5,116,0,0,1603,1604,5,101,0,0,1604,1605,5,112,0,0,1605,248,
1,0,0,0,1606,1607,5,100,0,0,1607,1608,5,105,0,0,1608,1609,5,115,
0,0,1609,1619,5,116,0,0,1610,1611,5,100,0,0,1611,1612,5,105,0,0,
1612,1613,5,115,0,0,1613,1614,5,116,0,0,1614,1615,5,97,0,0,1615,
1616,5,110,0,0,1616,1617,5,99,0,0,1617,1619,5,101,0,0,1618,1606,
1,0,0,0,1618,1610,1,0,0,0,1619,250,1,0,0,0,1620,1621,5,114,0,0,1621,
1622,5,101,0,0,1622,1623,5,109,0,0,1623,1624,5,97,0,0,1624,1625,
5,112,0,0,1625,252,1,0,0,0,1626,1627,5,99,0,0,1627,1628,5,111,0,
0,1628,1629,5,115,0,0,1629,1630,5,115,0,0,1630,1631,5,105,0,0,1631,
1650,5,109,0,0,1632,1633,5,99,0,0,1633,1634,5,111,0,0,1634,1635,
5,115,0,0,1635,1636,5,105,0,0,1636,1637,5,110,0,0,1637,1638,5,101,
0,0,1638,1639,5,95,0,0,1639,1640,5,115,0,0,1640,1641,5,105,0,0,1641,
1642,5,109,0,0,1642,1643,5,105,0,0,1643,1644,5,108,0,0,1644,1645,
5,97,0,0,1645,1646,5,114,0,0,1646,1647,5,105,0,0,1647,1648,5,116,
0,0,1648,1650,5,121,0,0,1649,1626,1,0,0,0,1649,1632,1,0,0,0,1650,
254,1,0,0,0,1651,1652,5,99,0,0,1652,1653,5,111,0,0,1653,1654,5,117,
0,0,1654,1655,5,110,0,0,1655,1666,5,116,0,0,1656,1657,5,99,0,0,1657,
1658,5,110,0,0,1658,1666,5,116,0,0,1659,1660,5,108,0,0,1660,1661,
5,101,0,0,1661,1662,5,110,0,0,1662,1663,5,103,0,0,1663,1664,5,116,
0,0,1664,1666,5,104,0,0,1665,1651,1,0,0,0,1665,1656,1,0,0,0,1665,
1659,1,0,0,0,1666,256,1,0,0,0,1667,1668,5,107,0,0,1668,1669,5,101,
0,0,1669,1670,5,121,0,0,1670,1671,5,115,0,0,1671,258,1,0,0,0,1672,
1673,5,101,0,0,1673,1674,5,110,0,0,1674,1675,5,97,0,0,1675,1676,
5,98,0,0,1676,1677,5,108,0,0,1677,1678,5,101,0,0,1678,1679,5,95,
0,0,1679,1680,5,116,0,0,1680,1681,5,114,0,0,1681,1682,5,97,0,0,1682,
1683,5,99,0,0,1683,1684,5,107,0,0,1684,1685,5,105,0,0,1685,1686,
5,110,0,0,1686,1696,5,103,0,0,1687,1688,5,116,0,0,1688,1689,5,114,
0,0,1689,1690,5,97,0,0,1690,1691,5,99,0,0,1691,1692,5,107,0,0,1692,
1693,5,95,0,0,1693,1694,5,111,0,0,1694,1696,5,110,0,0,1695,1672,
1,0,0,0,1695,1687,1,0,0,0,1696,260,1,0,0,0,1697,1698,5,100,0,0,1698,
1699,5,105,0,0,1699,1700,5,115,0,0,1700,1701,5,97,0,0,1701,1702,
5,98,0,0,1702,1703,5,108,0,0,1703,1704,5,101,0,0,1704,1705,5,95,
0,0,1705,1706,5,116,0,0,1706,1707,5,114,0,0,1707,1708,5,97,0,0,1708,
1709,5,99,0,0,1709,1710,5,107,0,0,1710,1711,5,105,0,0,1711,1712,
5,110,0,0,1712,1723,5,103,0,0,1713,1714,5,116,0,0,1714,1715,5,114,
0,0,1715,1716,5,97,0,0,1716,1717,5,99,0,0,1717,1718,5,107,0,0,1718,
1719,5,95,0,0,1719,1720,5,111,0,0,1720,1721,5,102,0,0,1721,1723,
5,102,0,0,1722,1697,1,0,0,0,1722,1713,1,0,0,0,1723,262,1,0,0,0,1724,
1725,5,114,0,0,1725,1726,5,101,0,0,1726,1727,5,115,0,0,1727,1728,
5,101,0,0,1728,1729,5,116,0,0,1729,1730,5,95,0,0,1730,1731,5,116,
0,0,1731,1732,5,114,0,0,1732,1733,5,97,0,0,1733,1734,5,99,0,0,1734,
1735,5,107,0,0,1735,1736,5,105,0,0,1736,1737,5,110,0,0,1737,1750,
5,103,0,0,1738,1739,5,116,0,0,1739,1740,5,114,0,0,1740,1741,5,97,
0,0,1741,1742,5,99,0,0,1742,1743,5,107,0,0,1743,1744,5,95,0,0,1744,
1745,5,114,0,0,1745,1746,5,101,0,0,1746,1747,5,115,0,0,1747,1748,
5,101,0,0,1748,1750,5,116,0,0,1749,1724,1,0,0,0,1749,1738,1,0,0,
0,1750,264,1,0,0,0,1751,1752,5,103,0,0,1752,1753,5,101,0,0,1753,
1754,5,116,0,0,1754,1755,5,95,0,0,1755,1756,5,99,0,0,1756,1757,5,
104,0,0,1757,1758,5,97,0,0,1758,1759,5,110,0,0,1759,1760,5,103,0,
0,1760,1761,5,101,0,0,1761,1762,5,100,0,0,1762,1763,5,95,0,0,1763,
1764,5,107,0,0,1764,1765,5,101,0,0,1765,1766,5,121,0,0,1766,1780,
5,115,0,0,1767,1768,5,99,0,0,1768,1769,5,104,0,0,1769,1770,5,97,
0,0,1770,1771,5,110,0,0,1771,1772,5,103,0,0,1772,1773,5,101,0,0,
1773,1774,5,100,0,0,1774,1775,5,95,0,0,1775,1776,5,107,0,0,1776,
1777,5,101,0,0,1777,1778,5,121,0,0,1778,1780,5,115,0,0,1779,1751,
1,0,0,0,1779,1767,1,0,0,0,1780,266,1,0,0,0,1781,1782,5,103,0,0,1782,
1783,5,101,0,0,1783,1784,5,116,0,0,1784,1785,5,95,0,0,1785,1786,
5,97,0,0,1786,1787,5,100,0,0,1787,1788,5,100,0,0,1788,1789,5,101,
0,0,1789,1790,5,100,0,0,1790,1791,5,95,0,0,1791,1792,5,107,0,0,1792,
1793,5,101,0,0,1793,1794,5,121,0,0,1794,1806,5,115,0,0,1795,1796,
5,97,0,0,1796,1797,5,100,0,0,1797,1798,5,100,0,0,1798,1799,5,101,
0,0,1799,1800,5,100,0,0,1800,1801,5,95,0,0,1801,1802,5,107,0,0,1802,
1803,5,101,0,0,1803,1804,5,121,0,0,1804,1806,5,115,0,0,1805,1781,
1,0,0,0,1805,1795,1,0,0,0,1806,268,1,0,0,0,1807,1808,5,103,0,0,1808,
1809,5,101,0,0,1809,1810,5,116,0,0,1810,1811,5,95,0,0,1811,1812,
5,114,0,0,1812,1813,5,101,0,0,1813,1814,5,109,0,0,1814,1815,5,111,
0,0,1815,1816,5,118,0,0,1816,1817,5,101,0,0,1817,1818,5,100,0,0,
1818,1819,5,95,0,0,1819,1820,5,107,0,0,1820,1821,5,101,0,0,1821,
1822,5,121,0,0,1822,1836,5,115,0,0,1823,1824,5,114,0,0,1824,1825,
5,101,0,0,1825,1826,5,109,0,0,1826,1827,5,111,0,0,1827,1828,5,118,
0,0,1828,1829,5,101,0,0,1829,1830,5,100,0,0,1830,1831,5,95,0,0,1831,
1832,5,107,0,0,1832,1833,5,101,0,0,1833,1834,5,121,0,0,1834,1836,
5,115,0,0,1835,1807,1,0,0,0,1835,1823,1,0,0,0,1836,270,1,0,0,0,1837,
1838,5,103,0,0,1838,1839,5,101,0,0,1839,1840,5,116,0,0,1840,1841,
5,95,0,0,1841,1842,5,117,0,0,1842,1843,5,110,0,0,1843,1844,5,99,
0,0,1844,1845,5,104,0,0,1845,1846,5,97,0,0,1846,1847,5,110,0,0,1847,
1848,5,103,0,0,1848,1849,5,101,0,0,1849,1850,5,100,0,0,1850,1851,
5,95,0,0,1851,1852,5,107,0,0,1852,1853,5,101,0,0,1853,1854,5,121,
0,0,1854,1870,5,115,0,0,1855,1856,5,117,0,0,1856,1857,5,110,0,0,
1857,1858,5,99,0,0,1858,1859,5,104,0,0,1859,1860,5,97,0,0,1860,1861,
5,110,0,0,1861,1862,5,103,0,0,1862,1863,5,101,0,0,1863,1864,5,100,
0,0,1864,1865,5,95,0,0,1865,1866,5,107,0,0,1866,1867,5,101,0,0,1867,
1868,5,121,0,0,1868,1870,5,115,0,0,1869,1837,1,0,0,0,1869,1855,1,
0,0,0,1870,272,1,0,0,0,1871,1872,5,114,0,0,1872,1873,5,101,0,0,1873,
1874,5,112,0,0,1874,1875,5,101,0,0,1875,1876,5,97,0,0,1876,1877,
5,116,0,0,1877,274,1,0,0,0,1878,1879,5,102,0,0,1879,1880,5,108,0,
0,1880,1881,5,97,0,0,1881,1882,5,116,0,0,1882,1883,5,116,0,0,1883,
1884,5,101,0,0,1884,1885,5,110,0,0,1885,276,1,0,0,0,1886,1887,5,
97,0,0,1887,1888,5,112,0,0,1888,1889,5,112,0,0,1889,1890,5,101,0,
0,1890,1891,5,110,0,0,1891,1892,5,100,0,0,1892,278,1,0,0,0,1893,
1894,5,103,0,0,1894,1895,5,101,0,0,1895,1896,5,116,0,0,1896,1897,
5,95,0,0,1897,1898,5,118,0,0,1898,1899,5,97,0,0,1899,1900,5,108,
0,0,1900,1901,5,117,0,0,1901,1902,5,101,0,0,1902,280,1,0,0,0,1903,
1904,5,102,0,0,1904,1905,5,108,0,0,1905,1906,5,111,0,0,1906,1907,
5,119,0,0,1907,1908,5,95,0,0,1908,1909,5,97,0,0,1909,1910,5,112,
0,0,1910,1911,5,112,0,0,1911,1912,5,108,0,0,1912,1913,5,121,0,0,
1913,282,1,0,0,0,1914,1915,5,98,0,0,1915,1916,5,97,0,0,1916,1917,
5,116,0,0,1917,1918,5,99,0,0,1918,1919,5,104,0,0,1919,1920,5,95,
0,0,1920,1921,5,115,0,0,1921,1922,5,104,0,0,1922,1923,5,117,0,0,
1923,1924,5,102,0,0,1924,1925,5,102,0,0,1925,1926,5,108,0,0,1926,
1941,5,101,0,0,1927,1928,5,115,0,0,1928,1929,5,104,0,0,1929,1930,
5,117,0,0,1930,1931,5,102,0,0,1931,1932,5,102,0,0,1932,1933,5,108,
0,0,1933,1941,5,101,0,0,1934,1935,5,115,0,0,1935,1936,5,101,0,0,
1936,1937,5,108,0,0,1937,1938,5,101,0,0,1938,1939,5,99,0,0,1939,
1941,5,116,0,0,1940,1914,1,0,0,0,1940,1927,1,0,0,0,1940,1934,1,0,
0,0,1941,284,1,0,0,0,1942,1943,5,109,0,0,1943,1944,5,111,0,0,1944,
1945,5,116,0,0,1945,1946,5,105,0,0,1946,1947,5,111,0,0,1947,1948,
5,110,0,0,1948,1949,5,95,0,0,1949,1950,5,109,0,0,1950,1951,5,97,
0,0,1951,1952,5,115,0,0,1952,1953,5,107,0,0,1953,286,1,0,0,0,1954,
1955,5,102,0,0,1955,1956,5,108,0,0,1956,1957,5,111,0,0,1957,1958,
5,119,0,0,1958,1959,5,95,0,0,1959,1960,5,116,0,0,1960,1961,5,111,
0,0,1961,1962,5,95,0,0,1962,1963,5,105,0,0,1963,1964,5,109,0,0,1964,
1965,5,97,0,0,1965,1966,5,103,0,0,1966,1967,5,101,0,0,1967,288,1,
0,0,0,1968,1969,5,102,0,0,1969,1970,5,108,0,0,1970,1971,5,111,0,
0,1971,1972,5,119,0,0,1972,1973,5,95,0,0,1973,1974,5,109,0,0,1974,
1975,5,97,0,0,1975,1991,5,103,0,0,1976,1977,5,102,0,0,1977,1978,
5,108,0,0,1978,1979,5,111,0,0,1979,1980,5,119,0,0,1980,1981,5,95,
0,0,1981,1982,5,109,0,0,1982,1983,5,97,0,0,1983,1984,5,103,0,0,1984,
1985,5,110,0,0,1985,1986,5,105,0,0,1986,1987,5,116,0,0,1987,1988,
5,117,0,0,1988,1989,5,100,0,0,1989,1991,5,101,0,0,1990,1968,1,0,
0,0,1990,1976,1,0,0,0,1991,290,1,0,0,0,1992,1993,5,102,0,0,1993,
1994,5,108,0,0,1994,1995,5,111,0,0,1995,1996,5,119,0,0,1996,1997,
5,95,0,0,1997,1998,5,97,0,0,1998,1999,5,110,0,0,1999,2011,5,103,
0,0,2000,2001,5,102,0,0,2001,2002,5,108,0,0,2002,2003,5,111,0,0,
2003,2004,5,119,0,0,2004,2005,5,95,0,0,2005,2006,5,97,0,0,2006,2007,
5,110,0,0,2007,2008,5,103,0,0,2008,2009,5,108,0,0,2009,2011,5,101,
0,0,2010,1992,1,0,0,0,2010,2000,1,0,0,0,2011,292,1,0,0,0,2012,2013,
5,119,0,0,2013,2014,5,104,0,0,2014,2015,5,101,0,0,2015,2016,5,114,
0,0,2016,2017,5,101,0,0,2017,294,1,0,0,0,2018,2019,5,104,0,0,2019,
2020,5,105,0,0,2020,2021,5,115,0,0,2021,2022,5,116,0,0,2022,2023,
5,111,0,0,2023,2024,5,103,0,0,2024,2025,5,114,0,0,2025,2026,5,97,
0,0,2026,2032,5,109,0,0,2027,2028,5,104,0,0,2028,2029,5,105,0,0,
2029,2030,5,115,0,0,2030,2032,5,116,0,0,2031,2018,1,0,0,0,2031,2027,
1,0,0,0,2032,296,1,0,0,0,2033,2034,5,111,0,0,2034,2035,5,118,0,0,
2035,2036,5,101,0,0,2036,2037,5,114,0,0,2037,2038,5,108,0,0,2038,
2039,5,97,0,0,2039,2040,5,121,0,0,2040,298,1,0,0,0,2041,2042,5,98,
0,0,2042,2043,5,108,0,0,2043,2044,5,101,0,0,2044,2045,5,110,0,0,
2045,2046,5,100,0,0,2046,300,1,0,0,0,2047,2048,5,112,0,0,2048,2049,
5,97,0,0,2049,2050,5,100,0,0,2050,302,1,0,0,0,2051,2052,5,99,0,0,
2052,2053,5,114,0,0,2053,2054,5,111,0,0,2054,2055,5,115,0,0,2055,
2056,5,115,0,0,2056,304,1,0,0,0,2057,2058,5,109,0,0,2058,2059,5,
97,0,0,2059,2060,5,116,0,0,2060,2061,5,109,0,0,2061,2062,5,117,0,
0,2062,2063,5,108,0,0,2063,306,1,0,0,0,2064,2065,5,115,0,0,2065,
2066,5,111,0,0,2066,2067,5,108,0,0,2067,2068,5,118,0,0,2068,2069,
5,101,0,0,2069,308,1,0,0,0,2070,2071,5,109,0,0,2071,2072,5,97,0,
0,2072,2073,5,116,0,0,2073,2074,5,114,0,0,2074,2075,5,105,0,0,2075,
2076,5,120,0,0,2076,2077,5,95,0,0,2077,2078,5,114,0,0,2078,2079,
5,97,0,0,2079,2080,5,110,0,0,2080,2081,5,107,0,0,2081,310,1,0,0,
0,2082,2083,5,114,0,0,2083,2084,5,105,0,0,2084,2085,5,102,0,0,2085,
2086,5,101,0,0,2086,312,1,0,0,0,2087,2088,5,98,0,0,2088,2089,5,110,
0,0,2089,2090,5,111,0,0,2090,2103,5,116,0,0,2091,2092,5,98,0,0,2092,
2093,5,105,0,0,2093,2094,5,116,0,0,2094,2095,5,119,0,0,2095,2096,
5,105,0,0,2096,2097,5,115,0,0,2097,2098,5,101,0,0,2098,2099,5,95,
0,0,2099,2100,5,110,0,0,2100,2101,5,111,0,0,2101,2103,5,116,0,0,
2102,2087,1,0,0,0,2102,2091,1,0,0,0,2103,314,1,0,0,0,2104,2105,5,
98,0,0,2105,2106,5,105,0,0,2106,2107,5,116,0,0,2107,2108,5,99,0,
0,2108,2109,5,111,0,0,2109,2110,5,117,0,0,2110,2111,5,110,0,0,2111,
2127,5,116,0,0,2112,2113,5,112,0,0,2113,2114,5,111,0,0,2114,2115,
5,112,0,0,2115,2116,5,99,0,0,2116,2117,5,111,0,0,2117,2118,5,117,
0,0,2118,2119,5,110,0,0,2119,2127,5,116,0,0,2120,2121,5,112,0,0,
2121,2122,5,111,0,0,2122,2123,5,112,0,0,2123,2124,5,99,0,0,2124,
2125,5,110,0,0,2125,2127,5,116,0,0,2126,2104,1,0,0,0,2126,2112,1,
0,0,0,2126,2120,1,0,0,0,2127,316,1,0,0,0,2128,2129,5,115,0,0,2129,
2130,5,104,0,0,2130,2131,5,97,0,0,2131,2132,5,112,0,0,2132,2133,
5,101,0,0,2133,318,1,0,0,0,2134,2135,5,98,0,0,2135,2136,5,97,0,0,
2136,2137,5,110,0,0,2137,2150,5,100,0,0,2138,2139,5,98,0,0,2139,
2140,5,105,0,0,2140,2141,5,116,0,0,2141,2142,5,119,0,0,2142,2143,
5,105,0,0,2143,2144,5,115,0,0,2144,2145,5,101,0,0,2145,2146,5,95,
0,0,2146,2147,5,97,0,0,2147,2148,5,110,0,0,2148,2150,5,100,0,0,2149,
2134,1,0,0,0,2149,2138,1,0,0,0,2150,320,1,0,0,0,2151,2152,5,98,0,
0,2152,2153,5,120,0,0,2153,2154,5,111,0,0,2154,2167,5,114,0,0,2155,
2156,5,98,0,0,2156,2157,5,105,0,0,2157,2158,5,116,0,0,2158,2159,
5,119,0,0,2159,2160,5,105,0,0,2160,2161,5,115,0,0,2161,2162,5,101,
0,0,2162,2163,5,95,0,0,2163,2164,5,120,0,0,2164,2165,5,111,0,0,2165,
2167,5,114,0,0,2166,2151,1,0,0,0,2166,2155,1,0,0,0,2167,322,1,0,
0,0,2168,2169,5,98,0,0,2169,2170,5,111,0,0,2170,2182,5,114,0,0,2171,
2172,5,98,0,0,2172,2173,5,105,0,0,2173,2174,5,116,0,0,2174,2175,
5,119,0,0,2175,2176,5,105,0,0,2176,2177,5,115,0,0,2177,2178,5,101,
0,0,2178,2179,5,95,0,0,2179,2180,5,111,0,0,2180,2182,5,114,0,0,2181,
2168,1,0,0,0,2181,2171,1,0,0,0,2182,324,1,0,0,0,2183,2184,5,116,
0,0,2184,2185,5,101,0,0,2185,2186,5,110,0,0,2186,2187,5,115,0,0,
2187,2188,5,111,0,0,2188,2189,5,114,0,0,2189,326,1,0,0,0,2190,2191,
5,122,0,0,2191,2192,5,101,0,0,2192,2193,5,114,0,0,2193,2194,5,111,
0,0,2194,2195,5,115,0,0,2195,328,1,0,0,0,2196,2197,5,111,0,0,2197,
2198,5,110,0,0,2198,2199,5,101,0,0,2199,2200,5,115,0,0,2200,330,
1,0,0,0,2201,2202,5,101,0,0,2202,2203,5,121,0,0,2203,2204,5,101,
0,0,2204,332,1,0,0,0,2205,2206,5,111,0,0,2206,2207,5,110,0,0,2207,
2208,5,101,0,0,2208,2209,5,95,0,0,2209,2210,5,104,0,0,2210,2211,
5,111,0,0,2211,2212,5,116,0,0,2212,334,1,0,0,0,2213,2214,5,109,0,
0,2214,2215,5,115,0,0,2215,2216,5,101,0,0,2216,336,1,0,0,0,2217,
2218,5,109,0,0,2218,2219,5,97,0,0,2219,2220,5,101,0,0,2220,338,1,
0,0,0,2221,2222,5,112,0,0,2222,2223,5,115,0,0,2223,2224,5,110,0,
0,2224,2225,5,114,0,0,2225,340,1,0,0,0,2226,2227,5,119,0,0,2227,
2228,5,101,0,0,2228,2229,5,105,0,0,2229,2230,5,103,0,0,2230,2231,
5,104,0,0,2231,2232,5,116,0,0,2232,2233,5,101,0,0,2233,2234,5,100,
0,0,2234,2235,5,95,0,0,2235,2236,5,109,0,0,2236,2237,5,101,0,0,2237,
2238,5,97,0,0,2238,2239,5,110,0,0,2239,342,1,0,0,0,2240,2241,5,104,
0,0,2241,2242,5,117,0,0,2242,2243,5,98,0,0,2243,2244,5,101,0,0,2244,
2245,5,114,0,0,2245,2246,5,95,0,0,2246,2247,5,108,0,0,2247,2248,
5,111,0,0,2248,2249,5,115,0,0,2249,2250,5,115,0,0,2250,344,1,0,0,
0,2251,2252,5,99,0,0,2252,2253,5,114,0,0,2253,2254,5,111,0,0,2254,
2255,5,115,0,0,2255,2256,5,115,0,0,2256,2257,5,95,0,0,2257,2258,
5,101,0,0,2258,2259,5,110,0,0,2259,2260,5,116,0,0,2260,2261,5,114,
0,0,2261,2262,5,111,0,0,2262,2263,5,112,0,0,2263,2264,5,121,0,0,
2264,346,1,0,0,0,2265,2266,5,97,0,0,2266,2267,5,100,0,0,2267,2268,
5,100,0,0,2268,2269,5,95,0,0,2269,2270,5,107,0,0,2270,2271,5,101,
0,0,2271,2272,5,121,0,0,2272,348,1,0,0,0,2273,2274,5,114,0,0,2274,
2275,5,101,0,0,2275,2276,5,109,0,0,2276,2277,5,111,0,0,2277,2278,
5,118,0,0,2278,2279,5,101,0,0,2279,2280,5,95,0,0,2280,2281,5,107,
0,0,2281,2282,5,101,0,0,2282,2290,5,121,0,0,2283,2284,5,114,0,0,
2284,2285,5,109,0,0,2285,2286,5,95,0,0,2286,2287,5,107,0,0,2287,
2288,5,101,0,0,2288,2290,5,121,0,0,2289,2273,1,0,0,0,2289,2283,1,
0,0,0,2290,350,1,0,0,0,2291,2292,5,115,0,0,2292,2293,5,116,0,0,2293,
2294,5,97,0,0,2294,2295,5,99,0,0,2295,2296,5,107,0,0,2296,2297,5,
95,0,0,2297,2298,5,112,0,0,2298,2299,5,117,0,0,2299,2300,5,115,0,
0,2300,2301,5,104,0,0,2301,352,1,0,0,0,2302,2303,5,115,0,0,2303,
2304,5,116,0,0,2304,2305,5,97,0,0,2305,2306,5,99,0,0,2306,2307,5,
107,0,0,2307,2308,5,95,0,0,2308,2309,5,112,0,0,2309,2310,5,111,0,
0,2310,2311,5,112,0,0,2311,354,1,0,0,0,2312,2313,5,115,0,0,2313,
2314,5,116,0,0,2314,2315,5,97,0,0,2315,2316,5,99,0,0,2316,2317,5,
107,0,0,2317,2318,5,95,0,0,2318,2319,5,99,0,0,2319,2320,5,108,0,
0,2320,2321,5,101,0,0,2321,2322,5,97,0,0,2322,2323,5,114,0,0,2323,
356,1,0,0,0,2324,2325,5,115,0,0,2325,2326,5,116,0,0,2326,2327,5,
97,0,0,2327,2328,5,99,0,0,2328,2329,5,107,0,0,2329,2330,5,95,0,0,
2330,2331,5,104,0,0,2331,2332,5,97,0,0,2332,2333,5,115,0,0,2333,
358,1,0,0,0,2334,2335,5,115,0,0,2335,2336,5,116,0,0,2336,2337,5,
97,0,0,2337,2338,5,99,0,0,2338,2339,5,107,0,0,2339,2340,5,95,0,0,
2340,2341,5,103,0,0,2341,2342,5,101,0,0,2342,2343,5,116,0,0,2343,
360,1,0,0,0,2344,2345,5,99,0,0,2345,2346,5,97,0,0,2346,2365,5,116,
0,0,2347,2348,5,99,0,0,2348,2349,5,111,0,0,2349,2350,5,110,0,0,2350,
2351,5,99,0,0,2351,2352,5,97,0,0,2352,2365,5,116,0,0,2353,2354,5,
99,0,0,2354,2355,5,111,0,0,2355,2356,5,110,0,0,2356,2357,5,99,0,
0,2357,2358,5,97,0,0,2358,2359,5,116,0,0,2359,2360,5,101,0,0,2360,
2361,5,110,0,0,2361,2362,5,97,0,0,2362,2363,5,116,0,0,2363,2365,
5,101,0,0,2364,2344,1,0,0,0,2364,2347,1,0,0,0,2364,2353,1,0,0,0,
2365,362,1,0,0,0,2366,2367,5,115,0,0,2367,2368,5,116,0,0,2368,2369,
5,97,0,0,2369,2370,5,99,0,0,2370,2371,5,107,0,0,2371,364,1,0,0,0,
2372,2373,5,110,0,0,2373,2374,5,111,0,0,2374,2375,5,110,0,0,2375,
2376,5,122,0,0,2376,2377,5,101,0,0,2377,2378,5,114,0,0,2378,2379,
5,111,0,0,2379,366,1,0,0,0,2380,2381,5,105,0,0,2381,2382,5,110,0,
0,2382,2383,5,116,0,0,2383,368,1,0,0,0,2384,2385,5,102,0,0,2385,
2386,5,108,0,0,2386,2387,5,111,0,0,2387,2388,5,97,0,0,2388,2389,
5,116,0,0,2389,370,1,0,0,0,2390,2391,5,117,0,0,2391,2392,5,112,0,
0,2392,2393,5,112,0,0,2393,2394,5,101,0,0,2394,2395,5,114,0,0,2395,
372,1,0,0,0,2396,2397,5,108,0,0,2397,2398,5,111,0,0,2398,2399,5,
119,0,0,2399,2400,5,101,0,0,2400,2401,5,114,0,0,2401,374,1,0,0,0,
2402,2403,5,116,0,0,2403,2404,5,114,0,0,2404,2405,5,105,0,0,2405,
2406,5,109,0,0,2406,376,1,0,0,0,2407,2408,5,115,0,0,2408,2409,5,
112,0,0,2409,2410,5,108,0,0,2410,2411,5,105,0,0,2411,2412,5,116,
0,0,2412,378,1,0,0,0,2413,2414,5,106,0,0,2414,2415,5,111,0,0,2415,
2416,5,105,0,0,2416,2417,5,110,0,0,2417,380,1,0,0,0,2418,2419,5,
115,0,0,2419,2420,5,117,0,0,2420,2421,5,98,0,0,2421,2422,5,115,0,
0,2422,2423,5,116,0,0,2423,2424,5,114,0,0,2424,2425,5,105,0,0,2425,
2426,5,110,0,0,2426,2434,5,103,0,0,2427,2428,5,115,0,0,2428,2429,
5,117,0,0,2429,2430,5,98,0,0,2430,2431,5,115,0,0,2431,2432,5,116,
0,0,2432,2434,5,114,0,0,2433,2418,1,0,0,0,2433,2427,1,0,0,0,2434,
382,1,0,0,0,2435,2436,5,102,0,0,2436,2437,5,105,0,0,2437,2438,5,
110,0,0,2438,2439,5,100,0,0,2439,384,1,0,0,0,2440,2441,5,114,0,0,
2441,2442,5,101,0,0,2442,2443,5,112,0,0,2443,2444,5,108,0,0,2444,
2445,5,97,0,0,2445,2446,5,99,0,0,2446,2447,5,101,0,0,2447,386,1,
0,0,0,2448,2449,5,114,0,0,2449,2450,5,101,0,0,2450,2451,5,103,0,
0,2451,2452,5,101,0,0,2452,2453,5,120,0,0,2453,2454,5,95,0,0,2454,
2455,5,115,0,0,2455,2456,5,101,0,0,2456,2457,5,97,0,0,2457,2458,
5,114,0,0,2458,2459,5,99,0,0,2459,2460,5,104,0,0,2460,388,1,0,0,
0,2461,2462,5,114,0,0,2462,2463,5,101,0,0,2463,2464,5,103,0,0,2464,
2465,5,101,0,0,2465,2466,5,120,0,0,2466,2467,5,95,0,0,2467,2468,
5,114,0,0,2468,2469,5,101,0,0,2469,2470,5,112,0,0,2470,2471,5,108,
0,0,2471,2472,5,97,0,0,2472,2473,5,99,0,0,2473,2474,5,101,0,0,2474,
390,1,0,0,0,2475,2476,5,102,0,0,2476,2477,5,111,0,0,2477,2478,5,
114,0,0,2478,2479,5,109,0,0,2479,2480,5,97,0,0,2480,2481,5,116,0,
0,2481,392,1,0,0,0,2482,2483,5,116,0,0,2483,2484,5,111,0,0,2484,
2485,5,95,0,0,2485,2486,5,106,0,0,2486,2487,5,115,0,0,2487,2488,
5,111,0,0,2488,2501,5,110,0,0,2489,2490,5,106,0,0,2490,2491,5,115,
0,0,2491,2492,5,111,0,0,2492,2493,5,110,0,0,2493,2494,5,95,0,0,2494,
2495,5,101,0,0,2495,2496,5,110,0,0,2496,2497,5,99,0,0,2497,2498,
5,111,0,0,2498,2499,5,100,0,0,2499,2501,5,101,0,0,2500,2482,1,0,
0,0,2500,2489,1,0,0,0,2501,394,1,0,0,0,2502,2503,5,102,0,0,2503,
2504,5,114,0,0,2504,2505,5,111,0,0,2505,2506,5,109,0,0,2506,2507,
5,95,0,0,2507,2508,5,106,0,0,2508,2509,5,115,0,0,2509,2510,5,111,
0,0,2510,2523,5,110,0,0,2511,2512,5,106,0,0,2512,2513,5,115,0,0,
2513,2514,5,111,0,0,2514,2515,5,110,0,0,2515,2516,5,95,0,0,2516,
2517,5,100,0,0,2517,2518,5,101,0,0,2518,2519,5,99,0,0,2519,2520,
5,111,0,0,2520,2521,5,100,0,0,2521,2523,5,101,0,0,2522,2502,1,0,
0,0,2522,2511,1,0,0,0,2523,396,1,0,0,0,2524,2525,5,100,0,0,2525,
2526,5,105,0,0,2526,2527,5,108,0,0,2527,2528,5,97,0,0,2528,2529,
5,116,0,0,2529,2530,5,101,0,0,2530,398,1,0,0,0,2531,2532,5,101,0,
0,2532,2533,5,114,0,0,2533,2534,5,111,0,0,2534,2535,5,100,0,0,2535,
2536,5,101,0,0,2536,400,1,0,0,0,2537,2538,5,109,0,0,2538,2539,5,
111,0,0,2539,2540,5,114,0,0,2540,2541,5,112,0,0,2541,2542,5,104,
0,0,2542,2543,5,95,0,0,2543,2544,5,111,0,0,2544,2545,5,112,0,0,2545,
2546,5,101,0,0,2546,2547,5,110,0,0,2547,402,1,0,0,0,2548,2549,5,
109,0,0,2549,2550,5,111,0,0,2550,2551,5,114,0,0,2551,2552,5,112,
0,0,2552,2553,5,104,0,0,2553,2554,5,95,0,0,2554,2555,5,99,0,0,2555,
2556,5,108,0,0,2556,2557,5,111,0,0,2557,2558,5,115,0,0,2558,2559,
5,101,0,0,2559,404,1,0,0,0,2560,2561,5,114,0,0,2561,2562,5,103,0,
0,2562,2563,5,98,0,0,2563,2564,5,95,0,0,2564,2565,5,116,0,0,2565,
2566,5,111,0,0,2566,2567,5,95,0,0,2567,2568,5,111,0,0,2568,2569,
5,107,0,0,2569,2570,5,108,0,0,2570,2571,5,97,0,0,2571,2572,5,98,
0,0,2572,406,1,0,0,0,2573,2574,5,108,0,0,2574,2575,5,117,0,0,2575,
2576,5,109,0,0,2576,2577,5,105,0,0,2577,2578,5,110,0,0,2578,2579,
5,97,0,0,2579,2580,5,110,0,0,2580,2581,5,99,0,0,2581,2582,5,101,
0,0,2582,408,1,0,0,0,2583,2584,5,114,0,0,2584,2585,5,103,0,0,2585,
2586,5,98,0,0,2586,2587,5,95,0,0,2587,2588,5,116,0,0,2588,2589,5,
111,0,0,2589,2590,5,95,0,0,2590,2591,5,99,0,0,2591,2592,5,105,0,
0,2592,2593,5,101,0,0,2593,2594,5,108,0,0,2594,2595,5,97,0,0,2595,
2596,5,98,0,0,2596,410,1,0,0,0,2597,2598,5,111,0,0,2598,2599,5,107,
0,0,2599,2600,5,108,0,0,2600,2601,5,97,0,0,2601,2602,5,98,0,0,2602,
2603,5,95,0,0,2603,2604,5,116,0,0,2604,2605,5,111,0,0,2605,2606,
5,95,0,0,2606,2607,5,114,0,0,2607,2608,5,103,0,0,2608,2609,5,98,
0,0,2609,412,1,0,0,0,2610,2611,5,99,0,0,2611,2612,5,105,0,0,2612,
2613,5,101,0,0,2613,2614,5,108,0,0,2614,2615,5,97,0,0,2615,2616,
5,98,0,0,2616,2617,5,95,0,0,2617,2618,5,116,0,0,2618,2619,5,111,
0,0,2619,2620,5,95,0,0,2620,2621,5,114,0,0,2621,2622,5,103,0,0,2622,
2623,5,98,0,0,2623,414,1,0,0,0,2624,2625,5,114,0,0,2625,2626,5,103,
0,0,2626,2627,5,98,0,0,2627,2628,5,95,0,0,2628,2629,5,116,0,0,2629,
2630,5,111,0,0,2630,2631,5,95,0,0,2631,2632,5,104,0,0,2632,2633,
5,115,0,0,2633,2634,5,118,0,0,2634,416,1,0,0,0,2635,2636,5,104,0,
0,2636,2637,5,115,0,0,2637,2638,5,118,0,0,2638,2639,5,95,0,0,2639,
2640,5,116,0,0,2640,2641,5,111,0,0,2641,2642,5,95,0,0,2642,2643,
5,114,0,0,2643,2644,5,103,0,0,2644,2645,5,98,0,0,2645,418,1,0,0,
0,2646,2647,5,105,0,0,2647,2648,5,110,0,0,2648,2649,5,116,0,0,2649,
2650,5,95,0,0,2650,2651,5,116,0,0,2651,2652,5,111,0,0,2652,2653,
5,95,0,0,2653,2654,5,114,0,0,2654,2655,5,103,0,0,2655,2656,5,98,
0,0,2656,420,1,0,0,0,2657,2658,5,114,0,0,2658,2659,5,103,0,0,2659,
2660,5,98,0,0,2660,2661,5,95,0,0,2661,2662,5,116,0,0,2662,2663,5,
111,0,0,2663,2664,5,95,0,0,2664,2665,5,105,0,0,2665,2666,5,110,0,
0,2666,2667,5,116,0,0,2667,422,1,0,0,0,2668,2669,5,105,0,0,2669,
2670,5,110,0,0,2670,2671,5,116,0,0,2671,2672,5,101,0,0,2672,2673,
5,114,0,0,2673,2674,5,112,0,0,2674,2675,5,111,0,0,2675,2676,5,108,
0,0,2676,2677,5,97,0,0,2677,2678,5,116,0,0,2678,2679,5,101,0,0,2679,
2680,5,95,0,0,2680,2681,5,108,0,0,2681,2682,5,105,0,0,2682,2683,
5,110,0,0,2683,2684,5,101,0,0,2684,2685,5,97,0,0,2685,2686,5,114,
0,0,2686,424,1,0,0,0,2687,2688,5,105,0,0,2688,2689,5,110,0,0,2689,
2690,5,116,0,0,2690,2691,5,101,0,0,2691,2692,5,114,0,0,2692,2693,
5,112,0,0,2693,2694,5,111,0,0,2694,2695,5,108,0,0,2695,2696,5,97,
0,0,2696,2697,5,116,0,0,2697,2698,5,101,0,0,2698,2699,5,95,0,0,2699,
2700,5,97,0,0,2700,2701,5,114,0,0,2701,2702,5,101,0,0,2702,2703,
5,97,0,0,2703,426,1,0,0,0,2704,2705,5,105,0,0,2705,2706,5,110,0,
0,2706,2707,5,116,0,0,2707,2708,5,101,0,0,2708,2709,5,114,0,0,2709,
2710,5,112,0,0,2710,2711,5,111,0,0,2711,2712,5,108,0,0,2712,2713,
5,97,0,0,2713,2714,5,116,0,0,2714,2715,5,101,0,0,2715,2716,5,95,
0,0,2716,2717,5,110,0,0,2717,2718,5,101,0,0,2718,2719,5,97,0,0,2719,
2720,5,114,0,0,2720,2721,5,101,0,0,2721,2722,5,115,0,0,2722,2749,
5,116,0,0,2723,2724,5,105,0,0,2724,2725,5,110,0,0,2725,2726,5,116,
0,0,2726,2727,5,101,0,0,2727,2728,5,114,0,0,2728,2729,5,112,0,0,
2729,2730,5,111,0,0,2730,2731,5,108,0,0,2731,2732,5,97,0,0,2732,
2733,5,116,0,0,2733,2734,5,101,0,0,2734,2735,5,95,0,0,2735,2736,
5,110,0,0,2736,2737,5,101,0,0,2737,2738,5,97,0,0,2738,2739,5,114,
0,0,2739,2740,5,101,0,0,2740,2741,5,115,0,0,2741,2742,5,116,0,0,
2742,2743,5,95,0,0,2743,2744,5,101,0,0,2744,2745,5,120,0,0,2745,
2746,5,97,0,0,2746,2747,5,99,0,0,2747,2749,5,116,0,0,2748,2704,1,
0,0,0,2748,2723,1,0,0,0,2749,428,1,0,0,0,2750,2751,5,116,0,0,2751,
2752,5,101,0,0,2752,2753,5,120,0,0,2753,2754,5,116,0,0,2754,2755,
5,95,0,0,2755,2756,5,105,0,0,2756,2757,5,109,0,0,2757,2758,5,97,
0,0,2758,2759,5,103,0,0,2759,2760,5,101,0,0,2760,430,1,0,0,0,2761,
2762,5,97,0,0,2762,2763,5,115,0,0,2763,2764,5,95,0,0,2764,2765,5,
110,0,0,2765,2766,5,101,0,0,2766,2767,5,115,0,0,2767,2768,5,116,
0,0,2768,2769,5,101,0,0,2769,2770,5,100,0,0,2770,2771,5,95,0,0,2771,
2772,5,116,0,0,2772,2773,5,101,0,0,2773,2774,5,110,0,0,2774,2775,
5,115,0,0,2775,2776,5,111,0,0,2776,2787,5,114,0,0,2777,2778,5,97,
0,0,2778,2779,5,115,0,0,2779,2780,5,95,0,0,2780,2781,5,110,0,0,2781,
2782,5,101,0,0,2782,2783,5,115,0,0,2783,2784,5,116,0,0,2784,2785,
5,101,0,0,2785,2787,5,100,0,0,2786,2761,1,0,0,0,2786,2777,1,0,0,
0,2787,432,1,0,0,0,2788,2789,5,115,0,0,2789,2790,5,118,0,0,2790,
2820,5,100,0,0,2791,2792,5,115,0,0,2792,2793,5,105,0,0,2793,2794,
5,110,0,0,2794,2795,5,103,0,0,2795,2796,5,117,0,0,2796,2797,5,108,
0,0,2797,2798,5,97,0,0,2798,2799,5,114,0,0,2799,2800,5,95,0,0,2800,
2801,5,118,0,0,2801,2802,5,97,0,0,2802,2803,5,108,0,0,2803,2804,
5,117,0,0,2804,2805,5,101,0,0,2805,2806,5,95,0,0,2806,2807,5,100,
0,0,2807,2808,5,101,0,0,2808,2809,5,99,0,0,2809,2810,5,111,0,0,2810,
2811,5,109,0,0,2811,2812,5,112,0,0,2812,2813,5,111,0,0,2813,2814,
5,115,0,0,2814,2815,5,105,0,0,2815,2816,5,116,0,0,2816,2817,5,105,
0,0,2817,2818,5,111,0,0,2818,2820,5,110,0,0,2819,2788,1,0,0,0,2819,
2791,1,0,0,0,2820,434,1,0,0,0,2821,2822,5,100,0,0,2822,2823,5,105,
0,0,2823,2824,5,97,0,0,2824,2825,5,103,0,0,2825,2826,5,111,0,0,2826,
2827,5,110,0,0,2827,2828,5,97,0,0,2828,2829,5,108,0,0,2829,2830,
5,95,0,0,2830,2831,5,109,0,0,2831,2832,5,97,0,0,2832,2833,5,116,
0,0,2833,2834,5,114,0,0,2834,2835,5,105,0,0,2835,2841,5,120,0,0,
2836,2837,5,100,0,0,2837,2838,5,105,0,0,2838,2839,5,97,0,0,2839,
2841,5,103,0,0,2840,2821,1,0,0,0,2840,2836,1,0,0,0,2841,436,1,0,
0,0,2842,2843,5,105,0,0,2843,2844,5,102,0,0,2844,438,1,0,0,0,2845,
2846,5,101,0,0,2846,2847,5,108,0,0,2847,2848,5,115,0,0,2848,2849,
5,101,0,0,2849,440,1,0,0,0,2850,2851,5,119,0,0,2851,2852,5,104,0,
0,2852,2853,5,105,0,0,2853,2854,5,108,0,0,2854,2855,5,101,0,0,2855,
442,1,0,0,0,2856,2857,5,102,0,0,2857,2858,5,111,0,0,2858,2859,5,
114,0,0,2859,444,1,0,0,0,2860,2861,5,105,0,0,2861,2862,5,110,0,0,
2862,446,1,0,0,0,2863,2864,5,98,0,0,2864,2865,5,114,0,0,2865,2866,
5,101,0,0,2866,2867,5,97,0,0,2867,2868,5,107,0,0,2868,448,1,0,0,
0,2869,2870,5,99,0,0,2870,2871,5,111,0,0,2871,2872,5,110,0,0,2872,
2873,5,116,0,0,2873,2874,5,105,0,0,2874,2875,5,110,0,0,2875,2876,
5,117,0,0,2876,2877,5,101,0,0,2877,450,1,0,0,0,2878,2879,5,114,0,
0,2879,2880,5,101,0,0,2880,2881,5,116,0,0,2881,2882,5,117,0,0,2882,
2883,5,114,0,0,2883,2884,5,110,0,0,2884,452,1,0,0,0,2885,2886,5,
116,0,0,2886,2887,5,105,0,0,2887,2888,5,109,0,0,2888,2889,5,101,
0,0,2889,2890,5,115,0,0,2890,2891,5,116,0,0,2891,2892,5,97,0,0,2892,
2893,5,109,0,0,2893,2898,5,112,0,0,2894,2895,5,110,0,0,2895,2896,
5,111,0,0,2896,2898,5,119,0,0,2897,2885,1,0,0,0,2897,2894,1,0,0,
0,2898,454,1,0,0,0,2899,2900,5,115,0,0,2900,2901,5,111,0,0,2901,
2902,5,114,0,0,2902,2903,5,116,0,0,2903,456,1,0,0,0,2904,2905,5,
97,0,0,2905,2906,5,114,0,0,2906,2907,5,103,0,0,2907,2908,5,115,0,
0,2908,2909,5,111,0,0,2909,2910,5,114,0,0,2910,2911,5,116,0,0,2911,
458,1,0,0,0,2912,2913,5,97,0,0,2913,2914,5,114,0,0,2914,2915,5,103,
0,0,2915,2916,5,109,0,0,2916,2917,5,105,0,0,2917,2918,5,110,0,0,
2918,460,1,0,0,0,2919,2920,5,97,0,0,2920,2921,5,114,0,0,2921,2922,
5,103,0,0,2922,2923,5,109,0,0,2923,2924,5,97,0,0,2924,2925,5,120,
0,0,2925,462,1,0,0,0,2926,2927,5,115,0,0,2927,2928,5,111,0,0,2928,
2929,5,102,0,0,2929,2930,5,116,0,0,2930,2931,5,109,0,0,2931,2932,
5,97,0,0,2932,2933,5,120,0,0,2933,464,1,0,0,0,2934,2935,5,115,0,
0,2935,2936,5,111,0,0,2936,2937,5,102,0,0,2937,2938,5,116,0,0,2938,
2939,5,109,0,0,2939,2940,5,105,0,0,2940,2941,5,110,0,0,2941,466,
1,0,0,0,2942,2943,5,117,0,0,2943,2944,5,110,0,0,2944,2945,5,105,
0,0,2945,2946,5,113,0,0,2946,2947,5,117,0,0,2947,2948,5,101,0,0,
2948,468,1,0,0,0,2949,2950,5,102,0,0,2950,2951,5,108,0,0,2951,2952,
5,105,0,0,2952,2953,5,112,0,0,2953,470,1,0,0,0,2954,2955,5,115,0,
0,2955,2956,5,116,0,0,2956,2957,5,97,0,0,2957,2958,5,114,0,0,2958,
2959,5,116,0,0,2959,2960,5,115,0,0,2960,2961,5,119,0,0,2961,2962,
5,105,0,0,2962,2963,5,116,0,0,2963,2964,5,104,0,0,2964,472,1,0,0,
0,2965,2966,5,101,0,0,2966,2967,5,110,0,0,2967,2968,5,100,0,0,2968,
2969,5,115,0,0,2969,2970,5,119,0,0,2970,2971,5,105,0,0,2971,2972,
5,116,0,0,2972,2973,5,104,0,0,2973,474,1,0,0,0,2974,2975,5,115,0,
0,2975,2976,5,113,0,0,2976,2977,5,117,0,0,2977,2978,5,101,0,0,2978,
2979,5,101,0,0,2979,2980,5,122,0,0,2980,2981,5,101,0,0,2981,476,
1,0,0,0,2982,2983,5,117,0,0,2983,2984,5,110,0,0,2984,2985,5,115,
0,0,2985,2986,5,113,0,0,2986,2987,5,117,0,0,2987,2988,5,101,0,0,
2988,2989,5,101,0,0,2989,2990,5,122,0,0,2990,2991,5,101,0,0,2991,
478,1,0,0,0,2992,2993,5,114,0,0,2993,2994,5,111,0,0,2994,2995,5,
108,0,0,2995,2996,5,108,0,0,2996,480,1,0,0,0,2997,2998,5,99,0,0,
2998,2999,5,111,0,0,2999,3000,5,118,0,0,3000,482,1,0,0,0,3001,3002,
5,99,0,0,3002,3003,5,111,0,0,3003,3004,5,114,0,0,3004,3017,5,114,
0,0,3005,3006,5,99,0,0,3006,3007,5,111,0,0,3007,3008,5,114,0,0,3008,
3009,5,114,0,0,3009,3010,5,101,0,0,3010,3011,5,108,0,0,3011,3012,
5,97,0,0,3012,3013,5,116,0,0,3013,3014,5,105,0,0,3014,3015,5,111,
0,0,3015,3017,5,110,0,0,3016,3001,1,0,0,0,3016,3005,1,0,0,0,3017,
484,1,0,0,0,3018,3019,5,101,0,0,3019,3020,5,110,0,0,3020,3021,5,
116,0,0,3021,3022,5,114,0,0,3022,3023,5,111,0,0,3023,3024,5,112,
0,0,3024,3025,5,121,0,0,3025,486,1,0,0,0,3026,3027,5,99,0,0,3027,
3028,5,114,0,0,3028,3029,5,111,0,0,3029,3030,5,112,0,0,3030,488,
1,0,0,0,3031,3032,5,110,0,0,3032,3033,5,111,0,0,3033,3034,5,110,
0,0,3034,3048,5,101,0,0,3035,3036,5,78,0,0,3036,3037,5,111,0,0,3037,
3038,5,110,0,0,3038,3048,5,101,0,0,3039,3040,5,110,0,0,3040,3041,
5,117,0,0,3041,3042,5,108,0,0,3042,3048,5,108,0,0,3043,3044,5,78,
0,0,3044,3045,5,85,0,0,3045,3046,5,76,0,0,3046,3048,5,76,0,0,3047,
3031,1,0,0,0,3047,3035,1,0,0,0,3047,3039,1,0,0,0,3047,3043,1,0,0,
0,3048,490,1,0,0,0,3049,3050,5,99,0,0,3050,3051,5,111,0,0,3051,3052,
5,111,0,0,3052,3053,5,114,0,0,3053,3054,5,100,0,0,3054,3067,5,115,
0,0,3055,3056,5,99,0,0,3056,3057,5,111,0,0,3057,3058,5,111,0,0,3058,
3059,5,114,0,0,3059,3060,5,100,0,0,3060,3061,5,105,0,0,3061,3062,
5,110,0,0,3062,3063,5,97,0,0,3063,3064,5,116,0,0,3064,3065,5,101,
0,0,3065,3067,5,115,0,0,3066,3049,1,0,0,0,3066,3055,1,0,0,0,3067,
492,1,0,0,0,3068,3069,5,103,0,0,3069,3070,5,97,0,0,3070,3071,5,116,
0,0,3071,3072,5,104,0,0,3072,3073,5,101,0,0,3073,3074,5,114,0,0,
3074,494,1,0,0,0,3075,3076,5,115,0,0,3076,3077,5,99,0,0,3077,3078,
5,97,0,0,3078,3079,5,116,0,0,3079,3080,5,116,0,0,3080,3081,5,101,
0,0,3081,3082,5,114,0,0,3082,496,1,0,0,0,3083,3084,5,115,0,0,3084,
3085,5,99,0,0,3085,3086,5,97,0,0,3086,3087,5,116,0,0,3087,3088,5,
116,0,0,3088,3089,5,101,0,0,3089,3090,5,114,0,0,3090,3091,5,95,0,
0,3091,3092,5,97,0,0,3092,3093,5,100,0,0,3093,3094,5,100,0,0,3094,
498,1,0,0,0,3095,3096,5,110,0,0,3096,3097,5,111,0,0,3097,3098,5,
105,0,0,3098,3099,5,115,0,0,3099,3119,5,101,0,0,3100,3101,5,114,
0,0,3101,3102,5,97,0,0,3102,3103,5,110,0,0,3103,3104,5,100,0,0,3104,
3119,5,110,0,0,3105,3106,5,114,0,0,3106,3107,5,97,0,0,3107,3108,
5,110,0,0,3108,3109,5,100,0,0,3109,3110,5,111,0,0,3110,3111,5,109,
0,0,3111,3112,5,95,0,0,3112,3113,5,110,0,0,3113,3114,5,111,0,0,3114,
3115,5,114,0,0,3115,3116,5,109,0,0,3116,3117,5,97,0,0,3117,3119,
5,108,0,0,3118,3095,1,0,0,0,3118,3100,1,0,0,0,3118,3105,1,0,0,0,
3119,500,1,0,0,0,3120,3121,5,112,0,0,3121,3122,5,105,0,0,3122,3123,
5,110,0,0,3123,3124,5,107,0,0,3124,3125,5,95,0,0,3125,3126,5,110,
0,0,3126,3127,5,111,0,0,3127,3128,5,105,0,0,3128,3129,5,115,0,0,
3129,3135,5,101,0,0,3130,3131,5,112,0,0,3131,3132,5,105,0,0,3132,
3133,5,110,0,0,3133,3135,5,107,0,0,3134,3120,1,0,0,0,3134,3130,1,
0,0,0,3135,502,1,0,0,0,3136,3137,5,98,0,0,3137,3138,5,114,0,0,3138,
3139,5,111,0,0,3139,3140,5,119,0,0,3140,3141,5,110,0,0,3141,3142,
5,95,0,0,3142,3143,5,110,0,0,3143,3144,5,111,0,0,3144,3145,5,105,
0,0,3145,3146,5,115,0,0,3146,3153,5,101,0,0,3147,3148,5,98,0,0,3148,
3149,5,114,0,0,3149,3150,5,111,0,0,3150,3151,5,119,0,0,3151,3153,
5,110,0,0,3152,3136,1,0,0,0,3152,3147,1,0,0,0,3153,504,1,0,0,0,3154,
3155,5,114,0,0,3155,3156,5,97,0,0,3156,3157,5,110,0,0,3157,3178,
5,100,0,0,3158,3159,5,114,0,0,3159,3160,5,97,0,0,3160,3161,5,110,
0,0,3161,3162,5,100,0,0,3162,3178,5,117,0,0,3163,3164,5,114,0,0,
3164,3165,5,97,0,0,3165,3166,5,110,0,0,3166,3167,5,100,0,0,3167,
3168,5,111,0,0,3168,3169,5,109,0,0,3169,3170,5,95,0,0,3170,3171,
5,117,0,0,3171,3172,5,110,0,0,3172,3173,5,105,0,0,3173,3174,5,102,
0,0,3174,3175,5,111,0,0,3175,3176,5,114,0,0,3176,3178,5,109,0,0,
3177,3154,1,0,0,0,3177,3158,1,0,0,0,3177,3163,1,0,0,0,3178,506,1,
0,0,0,3179,3180,5,114,0,0,3180,3181,5,97,0,0,3181,3182,5,110,0,0,
3182,3183,5,100,0,0,3183,3198,5,99,0,0,3184,3185,5,114,0,0,3185,
3186,5,97,0,0,3186,3187,5,110,0,0,3187,3188,5,100,0,0,3188,3189,
5,111,0,0,3189,3190,5,109,0,0,3190,3191,5,95,0,0,3191,3192,5,99,
0,0,3192,3193,5,97,0,0,3193,3194,5,117,0,0,3194,3195,5,99,0,0,3195,
3196,5,104,0,0,3196,3198,5,121,0,0,3197,3179,1,0,0,0,3197,3184,1,
0,0,0,3198,508,1,0,0,0,3199,3200,5,114,0,0,3200,3201,5,97,0,0,3201,
3202,5,110,0,0,3202,3203,5,100,0,0,3203,3223,5,101,0,0,3204,3205,
5,114,0,0,3205,3206,5,97,0,0,3206,3207,5,110,0,0,3207,3208,5,100,
0,0,3208,3209,5,111,0,0,3209,3210,5,109,0,0,3210,3211,5,95,0,0,3211,
3212,5,101,0,0,3212,3213,5,120,0,0,3213,3214,5,112,0,0,3214,3215,
5,111,0,0,3215,3216,5,110,0,0,3216,3217,5,101,0,0,3217,3218,5,110,
0,0,3218,3219,5,116,0,0,3219,3220,5,105,0,0,3220,3221,5,97,0,0,3221,
3223,5,108,0,0,3222,3199,1,0,0,0,3222,3204,1,0,0,0,3223,510,1,0,
0,0,3224,3225,5,114,0,0,3225,3226,5,97,0,0,3226,3227,5,110,0,0,3227,
3228,5,100,0,0,3228,3229,5,108,0,0,3229,3248,5,110,0,0,3230,3231,
5,114,0,0,3231,3232,5,97,0,0,3232,3233,5,110,0,0,3233,3234,5,100,
0,0,3234,3235,5,111,0,0,3235,3236,5,109,0,0,3236,3237,5,95,0,0,3237,
3238,5,108,0,0,3238,3239,5,111,0,0,3239,3240,5,103,0,0,3240,3241,
5,95,0,0,3241,3242,5,110,0,0,3242,3243,5,111,0,0,3243,3244,5,114,
0,0,3244,3245,5,109,0,0,3245,3246,5,97,0,0,3246,3248,5,108,0,0,3247,
3224,1,0,0,0,3247,3230,1,0,0,0,3248,512,1,0,0,0,3249,3250,5,114,
0,0,3250,3251,5,97,0,0,3251,3252,5,110,0,0,3252,3253,5,100,0,0,3253,
3271,5,98,0,0,3254,3255,5,114,0,0,3255,3256,5,97,0,0,3256,3257,5,
110,0,0,3257,3258,5,100,0,0,3258,3259,5,111,0,0,3259,3260,5,109,
0,0,3260,3261,5,95,0,0,3261,3262,5,98,0,0,3262,3263,5,101,0,0,3263,
3264,5,114,0,0,3264,3265,5,110,0,0,3265,3266,5,111,0,0,3266,3267,
5,117,0,0,3267,3268,5,108,0,0,3268,3269,5,108,0,0,3269,3271,5,105,
0,0,3270,3249,1,0,0,0,3270,3254,1,0,0,0,3271,514,1,0,0,0,3272,3273,
5,114,0,0,3273,3274,5,97,0,0,3274,3275,5,110,0,0,3275,3276,5,100,
0,0,3276,3292,5,112,0,0,3277,3278,5,114,0,0,3278,3279,5,97,0,0,3279,
3280,5,110,0,0,3280,3281,5,100,0,0,3281,3282,5,111,0,0,3282,3283,
5,109,0,0,3283,3284,5,95,0,0,3284,3285,5,112,0,0,3285,3286,5,111,
0,0,3286,3287,5,105,0,0,3287,3288,5,115,0,0,3288,3289,5,115,0,0,
3289,3290,5,111,0,0,3290,3292,5,110,0,0,3291,3272,1,0,0,0,3291,3277,
1,0,0,0,3292,516,1,0,0,0,3293,3294,5,114,0,0,3294,3295,5,97,0,0,
3295,3296,5,110,0,0,3296,3297,5,100,0,0,3297,3311,5,103,0,0,3298,
3299,5,114,0,0,3299,3300,5,97,0,0,3300,3301,5,110,0,0,3301,3302,
5,100,0,0,3302,3303,5,111,0,0,3303,3304,5,109,0,0,3304,3305,5,95,
0,0,3305,3306,5,103,0,0,3306,3307,5,97,0,0,3307,3308,5,109,0,0,3308,
3309,5,109,0,0,3309,3311,5,97,0,0,3310,3293,1,0,0,0,3310,3298,1,
0,0,0,3311,518,1,0,0,0,3312,3313,5,114,0,0,3313,3314,5,97,0,0,3314,
3315,5,110,0,0,3315,3316,5,100,0,0,3316,3317,5,98,0,0,3317,3318,
5,101,0,0,3318,3319,5,116,0,0,3319,3332,5,97,0,0,3320,3321,5,114,
0,0,3321,3322,5,97,0,0,3322,3323,5,110,0,0,3323,3324,5,100,0,0,3324,
3325,5,111,0,0,3325,3326,5,109,0,0,3326,3327,5,95,0,0,3327,3328,
5,98,0,0,3328,3329,5,101,0,0,3329,3330,5,116,0,0,3330,3332,5,97,
0,0,3331,3312,1,0,0,0,3331,3320,1,0,0,0,3332,520,1,0,0,0,3333,3334,
5,114,0,0,3334,3335,5,97,0,0,3335,3336,5,110,0,0,3336,3337,5,100,
0,0,3337,3353,5,108,0,0,3338,3339,5,114,0,0,3339,3340,5,97,0,0,3340,
3341,5,110,0,0,3341,3342,5,100,0,0,3342,3343,5,111,0,0,3343,3344,
5,109,0,0,3344,3345,5,95,0,0,3345,3346,5,108,0,0,3346,3347,5,97,
0,0,3347,3348,5,112,0,0,3348,3349,5,108,0,0,3349,3350,5,97,0,0,3350,
3351,5,99,0,0,3351,3353,5,101,0,0,3352,3333,1,0,0,0,3352,3338,1,
0,0,0,3353,522,1,0,0,0,3354,3355,5,114,0,0,3355,3356,5,97,0,0,3356,
3357,5,110,0,0,3357,3358,5,100,0,0,3358,3359,5,103,0,0,3359,3360,
5,117,0,0,3360,3361,5,109,0,0,3361,3362,5,98,0,0,3362,3363,5,101,
0,0,3363,3378,5,108,0,0,3364,3365,5,114,0,0,3365,3366,5,97,0,0,3366,
3367,5,110,0,0,3367,3368,5,100,0,0,3368,3369,5,111,0,0,3369,3370,
5,109,0,0,3370,3371,5,95,0,0,3371,3372,5,103,0,0,3372,3373,5,117,
0,0,3373,3374,5,109,0,0,3374,3375,5,98,0,0,3375,3376,5,101,0,0,3376,
3378,5,108,0,0,3377,3354,1,0,0,0,3377,3364,1,0,0,0,3378,524,1,0,
0,0,3379,3380,5,114,0,0,3380,3381,5,97,0,0,3381,3382,5,110,0,0,3382,
3383,5,100,0,0,3383,3399,5,119,0,0,3384,3385,5,114,0,0,3385,3386,
5,97,0,0,3386,3387,5,110,0,0,3387,3388,5,100,0,0,3388,3389,5,111,
0,0,3389,3390,5,109,0,0,3390,3391,5,95,0,0,3391,3392,5,119,0,0,3392,
3393,5,101,0,0,3393,3394,5,105,0,0,3394,3395,5,98,0,0,3395,3396,
5,117,0,0,3396,3397,5,108,0,0,3397,3399,5,108,0,0,3398,3379,1,0,
0,0,3398,3384,1,0,0,0,3399,526,1,0,0,0,3400,3401,5,114,0,0,3401,
3402,5,97,0,0,3402,3403,5,110,0,0,3403,3404,5,100,0,0,3404,3405,
5,99,0,0,3405,3406,5,104,0,0,3406,3407,5,105,0,0,3407,3420,5,50,
0,0,3408,3409,5,114,0,0,3409,3410,5,97,0,0,3410,3411,5,110,0,0,3411,
3412,5,100,0,0,3412,3413,5,111,0,0,3413,3414,5,109,0,0,3414,3415,
5,95,0,0,3415,3416,5,99,0,0,3416,3417,5,104,0,0,3417,3418,5,105,
0,0,3418,3420,5,50,0,0,3419,3400,1,0,0,0,3419,3408,1,0,0,0,3420,
528,1,0,0,0,3421,3422,5,114,0,0,3422,3423,5,97,0,0,3423,3424,5,110,
0,0,3424,3425,5,100,0,0,3425,3442,5,116,0,0,3426,3427,5,114,0,0,
3427,3428,5,97,0,0,3428,3429,5,110,0,0,3429,3430,5,100,0,0,3430,
3431,5,111,0,0,3431,3432,5,109,0,0,3432,3433,5,95,0,0,3433,3434,
5,115,0,0,3434,3435,5,116,0,0,3435,3436,5,117,0,0,3436,3437,5,100,
0,0,3437,3438,5,101,0,0,3438,3439,5,110,0,0,3439,3440,5,116,0,0,
3440,3442,5,116,0,0,3441,3421,1,0,0,0,3441,3426,1,0,0,0,3442,530,
1,0,0,0,3443,3444,5,112,0,0,3444,3445,5,101,0,0,3445,3446,5,114,
0,0,3446,3447,5,108,0,0,3447,3448,5,105,0,0,3448,3462,5,110,0,0,
3449,3450,5,112,0,0,3450,3451,5,101,0,0,3451,3452,5,114,0,0,3452,
3453,5,108,0,0,3453,3454,5,105,0,0,3454,3455,5,110,0,0,3455,3456,
5,95,0,0,3456,3457,5,110,0,0,3457,3458,5,111,0,0,3458,3459,5,105,
0,0,3459,3460,5,115,0,0,3460,3462,5,101,0,0,3461,3443,1,0,0,0,3461,
3449,1,0,0,0,3462,532,1,0,0,0,3463,3464,5,99,0,0,3464,3465,5,101,
0,0,3465,3466,5,108,0,0,3466,3467,5,108,0,0,3467,3468,5,117,0,0,
3468,3469,5,108,0,0,3469,3470,5,97,0,0,3470,3512,5,114,0,0,3471,
3472,5,118,0,0,3472,3473,5,111,0,0,3473,3474,5,114,0,0,3474,3475,
5,111,0,0,3475,3476,5,110,0,0,3476,3477,5,111,0,0,3477,3512,5,105,
0,0,3478,3479,5,119,0,0,3479,3480,5,111,0,0,3480,3481,5,114,0,0,
3481,3482,5,108,0,0,3482,3483,5,101,0,0,3483,3512,5,121,0,0,3484,
3485,5,99,0,0,3485,3486,5,101,0,0,3486,3487,5,108,0,0,3487,3488,
5,108,0,0,3488,3489,5,117,0,0,3489,3490,5,108,0,0,3490,3491,5,97,
0,0,3491,3492,5,114,0,0,3492,3493,5,95,0,0,3493,3494,5,110,0,0,3494,
3495,5,111,0,0,3495,3496,5,105,0,0,3496,3497,5,115,0,0,3497,3512,
5,101,0,0,3498,3499,5,118,0,0,3499,3500,5,111,0,0,3500,3501,5,114,
0,0,3501,3502,5,111,0,0,3502,3503,5,110,0,0,3503,3504,5,111,0,0,
3504,3505,5,105,0,0,3505,3506,5,95,0,0,3506,3507,5,110,0,0,3507,
3508,5,111,0,0,3508,3509,5,105,0,0,3509,3510,5,115,0,0,3510,3512,
5,101,0,0,3511,3463,1,0,0,0,3511,3471,1,0,0,0,3511,3478,1,0,0,0,
3511,3484,1,0,0,0,3511,3498,1,0,0,0,3512,534,1,0,0,0,3513,3514,5,
112,0,0,3514,3515,5,108,0,0,3515,3516,5,97,0,0,3516,3517,5,115,0,
0,3517,3518,5,109,0,0,3518,3542,5,97,0,0,3519,3520,5,116,0,0,3520,
3521,5,117,0,0,3521,3522,5,114,0,0,3522,3523,5,98,0,0,3523,3524,
5,117,0,0,3524,3525,5,108,0,0,3525,3526,5,101,0,0,3526,3527,5,110,
0,0,3527,3528,5,99,0,0,3528,3542,5,101,0,0,3529,3530,5,112,0,0,3530,
3531,5,108,0,0,3531,3532,5,97,0,0,3532,3533,5,115,0,0,3533,3534,
5,109,0,0,3534,3535,5,97,0,0,3535,3536,5,95,0,0,3536,3537,5,110,
0,0,3537,3538,5,111,0,0,3538,3539,5,105,0,0,3539,3540,5,115,0,0,
3540,3542,5,101,0,0,3541,3513,1,0,0,0,3541,3519,1,0,0,0,3541,3529,
1,0,0,0,3542,536,1,0,0,0,3543,3544,5,114,0,0,3544,3545,5,105,0,0,
3545,3546,5,100,0,0,3546,3547,5,103,0,0,3547,3548,5,101,0,0,3548,
3562,5,100,0,0,3549,3550,5,114,0,0,3550,3551,5,105,0,0,3551,3552,
5,100,0,0,3552,3553,5,103,0,0,3553,3554,5,101,0,0,3554,3555,5,100,
0,0,3555,3556,5,95,0,0,3556,3557,5,110,0,0,3557,3558,5,111,0,0,3558,
3559,5,105,0,0,3559,3560,5,115,0,0,3560,3562,5,101,0,0,3561,3543,
1,0,0,0,3561,3549,1,0,0,0,3562,538,1,0,0,0,3563,3564,5,100,0,0,3564,
3565,5,111,0,0,3565,3566,5,109,0,0,3566,3567,5,97,0,0,3567,3568,
5,105,0,0,3568,3569,5,110,0,0,3569,3570,5,95,0,0,3570,3571,5,119,
0,0,3571,3572,5,97,0,0,3572,3573,5,114,0,0,3573,3592,5,112,0,0,3574,
3575,5,100,0,0,3575,3576,5,111,0,0,3576,3577,5,109,0,0,3577,3578,
5,97,0,0,3578,3579,5,105,0,0,3579,3580,5,110,0,0,3580,3581,5,95,
0,0,3581,3582,5,119,0,0,3582,3583,5,97,0,0,3583,3584,5,114,0,0,3584,
3585,5,112,0,0,3585,3586,5,95,0,0,3586,3587,5,110,0,0,3587,3588,
5,111,0,0,3588,3589,5,105,0,0,3589,3590,5,115,0,0,3590,3592,5,101,
0,0,3591,3563,1,0,0,0,3591,3574,1,0,0,0,3592,540,1,0,0,0,3593,3594,
5,43,0,0,3594,542,1,0,0,0,3595,3596,5,45,0,0,3596,544,1,0,0,0,3597,
3598,5,42,0,0,3598,546,1,0,0,0,3599,3600,5,47,0,0,3600,548,1,0,0,
0,3601,3602,5,37,0,0,3602,550,1,0,0,0,3603,3604,5,94,0,0,3604,552,
1,0,0,0,3605,3606,5,60,0,0,3606,3607,5,60,0,0,3607,554,1,0,0,0,3608,
3609,5,62,0,0,3609,3610,5,62,0,0,3610,556,1,0,0,0,3611,3612,5,62,
0,0,3612,3613,5,61,0,0,3613,558,1,0,0,0,3614,3615,5,62,0,0,3615,
560,1,0,0,0,3616,3617,5,60,0,0,3617,3618,5,61,0,0,3618,562,1,0,0,
0,3619,3620,5,60,0,0,3620,564,1,0,0,0,3621,3622,5,61,0,0,3622,3623,
5,61,0,0,3623,566,1,0,0,0,3624,3625,5,61,0,0,3625,568,1,0,0,0,3626,
3627,5,43,0,0,3627,3628,5,61,0,0,3628,570,1,0,0,0,3629,3630,5,45,
0,0,3630,3631,5,61,0,0,3631,572,1,0,0,0,3632,3633,5,42,0,0,3633,
3634,5,61,0,0,3634,574,1,0,0,0,3635,3636,5,47,0,0,3636,3637,5,61,
0,0,3637,576,1,0,0,0,3638,3639,5,37,0,0,3639,3640,5,61,0,0,3640,
578,1,0,0,0,3641,3642,5,33,0,0,3642,3643,5,61,0,0,3643,580,1,0,0,
0,3644,3645,5,124,0,0,3645,582,1,0,0,0,3646,3647,5,40,0,0,3647,584,
1,0,0,0,3648,3649,5,41,0,0,3649,586,1,0,0,0,3650,3651,5,44,0,0,3651,
588,1,0,0,0,3652,3653,5,59,0,0,3653,590,1,0,0,0,3654,3655,5,45,0,
0,3655,3656,5,62,0,0,3656,592,1,0,0,0,3657,3658,5,91,0,0,3658,594,
1,0,0,0,3659,3660,5,93,0,0,3660,596,1,0,0,0,3661,3662,5,63,0,0,3662,
598,1,0,0,0,3663,3664,5,58,0,0,3664,600,1,0,0,0,3665,3666,5,123,
0,0,3666,602,1,0,0,0,3667,3668,5,125,0,0,3668,604,1,0,0,0,3669,3671,
7,0,0,0,3670,3669,1,0,0,0,3671,3672,1,0,0,0,3672,3670,1,0,0,0,3672,
3673,1,0,0,0,3673,3681,1,0,0,0,3674,3678,5,46,0,0,3675,3677,7,0,
0,0,3676,3675,1,0,0,0,3677,3680,1,0,0,0,3678,3676,1,0,0,0,3678,3679,
1,0,0,0,3679,3682,1,0,0,0,3680,3678,1,0,0,0,3681,3674,1,0,0,0,3681,
3682,1,0,0,0,3682,3690,1,0,0,0,3683,3685,5,46,0,0,3684,3686,7,0,
0,0,3685,3684,1,0,0,0,3686,3687,1,0,0,0,3687,3685,1,0,0,0,3687,3688,
1,0,0,0,3688,3690,1,0,0,0,3689,3670,1,0,0,0,3689,3683,1,0,0,0,3690,
3700,1,0,0,0,3691,3693,7,1,0,0,3692,3694,7,2,0,0,3693,3692,1,0,0,
0,3693,3694,1,0,0,0,3694,3696,1,0,0,0,3695,3697,7,0,0,0,3696,3695,
1,0,0,0,3697,3698,1,0,0,0,3698,3696,1,0,0,0,3698,3699,1,0,0,0,3699,
3701,1,0,0,0,3700,3691,1,0,0,0,3700,3701,1,0,0,0,3701,606,1,0,0,
0,3702,3703,5,112,0,0,3703,3708,5,105,0,0,3704,3705,5,80,0,0,3705,
3708,5,73,0,0,3706,3708,7,1,0,0,3707,3702,1,0,0,0,3707,3704,1,0,
0,0,3707,3706,1,0,0,0,3708,608,1,0,0,0,3709,3715,5,34,0,0,3710,3714,
8,3,0,0,3711,3712,5,92,0,0,3712,3714,9,0,0,0,3713,3710,1,0,0,0,3713,
3711,1,0,0,0,3714,3717,1,0,0,0,3715,3713,1,0,0,0,3715,3716,1,0,0,
0,3716,3718,1,0,0,0,3717,3715,1,0,0,0,3718,3730,5,34,0,0,3719,3725,
5,39,0,0,3720,3724,8,4,0,0,3721,3722,5,92,0,0,3722,3724,9,0,0,0,
3723,3720,1,0,0,0,3723,3721,1,0,0,0,3724,3727,1,0,0,0,3725,3723,
1,0,0,0,3725,3726,1,0,0,0,3726,3728,1,0,0,0,3727,3725,1,0,0,0,3728,
3730,5,39,0,0,3729,3709,1,0,0,0,3729,3719,1,0,0,0,3730,610,1,0,0,
0,3731,3735,7,5,0,0,3732,3734,7,6,0,0,3733,3732,1,0,0,0,3734,3737,
1,0,0,0,3735,3733,1,0,0,0,3735,3736,1,0,0,0,3736,612,1,0,0,0,3737,
3735,1,0,0,0,3738,3742,5,35,0,0,3739,3741,8,7,0,0,3740,3739,1,0,
0,0,3741,3744,1,0,0,0,3742,3740,1,0,0,0,3742,3743,1,0,0,0,3743,3745,
1,0,0,0,3744,3742,1,0,0,0,3745,3746,6,306,0,0,3746,614,1,0,0,0,3747,
3748,5,47,0,0,3748,3749,5,42,0,0,3749,3753,1,0,0,0,3750,3752,9,0,
0,0,3751,3750,1,0,0,0,3752,3755,1,0,0,0,3753,3754,1,0,0,0,3753,3751,
1,0,0,0,3754,3756,1,0,0,0,3755,3753,1,0,0,0,3756,3757,5,42,0,0,3757,
3758,5,47,0,0,3758,3759,1,0,0,0,3759,3760,6,307,0,0,3760,616,1,0,
0,0,3761,3763,7,8,0,0,3762,3761,1,0,0,0,3763,3764,1,0,0,0,3764,3762,
1,0,0,0,3764,3765,1,0,0,0,3765,3766,1,0,0,0,3766,3767,6,308,0,0,
3767,618,1,0,0,0,87,0,1006,1021,1192,1209,1233,1246,1259,1358,1375,
1467,1516,1538,1555,1576,1591,1618,1649,1665,1695,1722,1749,1779,
1805,1835,1869,1940,1990,2010,2031,2102,2126,2149,2166,2181,2289,
2364,2433,2500,2522,2748,2786,2819,2840,2897,3016,3047,3066,3118,
3134,3152,3177,3197,3222,3247,3270,3291,3310,3331,3352,3377,3398,
3419,3441,3461,3511,3541,3561,3591,3672,3678,3681,3687,3689,3693,
3698,3700,3707,3713,3715,3723,3725,3729,3735,3742,3753,3764,1,6,
0,0
]
class MathExprLexer(Lexer):
atn = ATNDeserializer().deserialize(serializedATN())
decisionsToDFA = [ DFA(ds, i) for i, ds in enumerate(atn.decisionToState) ]
SIN = 1
COS = 2
TAN = 3
ASIN = 4
ACOS = 5
ATAN = 6
ATAN2 = 7
SINH = 8
COSH = 9
TANH = 10
ASINH = 11
ACOSH = 12
ATANH = 13
ABS = 14
SQRT = 15
LN = 16
LOG = 17
LOG2 = 18
EXP = 19
LOG1P = 20
EXPM1 = 21
SINC = 22
CBRT = 23
RECIPROCAL = 24
LOGADDEXP = 25
LOGSUMEXP = 26
NORM = 27
NORMALIZE = 28
GROUP_NORM = 29
OUTER = 30
TRACE = 31
DET = 32
RFFT = 33
IRFFT = 34
ISNAN = 35
ISINF = 36
ISFINITE = 37
SMIN = 38
SMAX = 39
TMIN = 40
TMAX = 41
TNORM = 42
SNORM = 43
FLOOR = 44
CEIL = 45
ROUND = 46
GAMMA = 47
POWE = 48
SIGM = 49
SIGM_KARRAS = 50
SIGM_EXPONENTIAL = 51
SIGM_POLYEXPONENTIAL = 52
SIGM_LAPLACE = 53
CLAMP = 54
SFFT = 55
SIFFT = 56
ANGL = 57
PRNT = 58
PRINT_SHAPE = 59
NVL = 60
LERP = 61
INTERP = 62
SLERP = 63
STEP = 64
SMOOTHSTEP = 65
FRACT = 66
RELU = 67
SOFTSIGN = 68
LEAKY_RELU = 69
SOFTPLUS = 70
GELU = 71
SILU = 72
SIGN = 73
DEGREES = 74
RADIANS = 75
LOGICAL_NOT = 76
LOGICAL_AND = 77
LOGICAL_OR = 78
HYPOT = 79
MAP = 80
EZCONV = 81
CONV = 82
SWAP = 83
TRANSPOSE = 84
PERM = 85
RESHAPE = 86
RANGE = 87
LINSPACE = 88
LOGSPACE = 89
TOPK = 90
BOTK = 91
PINV = 92
INV = 93
SUM = 94
MEAN = 95
STD = 96
VAR = 97
PROD = 98
ISCLOSE = 99
ALLCLOSE = 100
QUARTILE = 101
PERCENTILE = 102
QUANTILE = 103
DOT = 104
MOMENT = 105
ERF = 106
ERFC = 107
ERFINV = 108
ANY = 109
ALL = 110
EDGE = 111
DISTANCE_TRANSFORM = 112
GRAYSCALE = 113
GAUSSIAN = 114
MEDIAN = 115
MODE = 116
CUMSUM = 117
CUMPROD = 118
TOPK_IND = 119
BOTK_IND = 120
CUBIC_EASE = 121
ELASTIC_EASE = 122
SINE_EASE = 123
SMOOTHERSTEP = 124
DIST = 125
REMAP = 126
COSSIM = 127
COUNT = 128
KEYS = 129
ENABLE_TRACKING = 130
DISABLE_TRACKING = 131
RESET_TRACKING = 132
GET_CHANGED_KEYS = 133
GET_ADDED_KEYS = 134
GET_REMOVED_KEYS = 135
GET_UNCHANGED_KEYS = 136
REPEAT = 137
FLATTEN = 138
APPEND = 139
GET_VALUE = 140
FLOW_APPLY = 141
BATCH_SHUFFLE = 142
MOTION_MASK = 143
FLOW_TO_IMAGE = 144
FLOW_MAG = 145
FLOW_ANG = 146
WHERE = 147
HISTOGRAM = 148
OVERLAY = 149
BLEND = 150
PAD = 151
CROSS = 152
MATMUL = 153
SOLVE = 154
MATRIX_RANK = 155
RIFE = 156
BNOT = 157
BITCOUNT = 158
SHAPE = 159
BAND = 160
XOR = 161
BOR = 162
TENSOR = 163
ZEROS = 164
ONES = 165
EYE = 166
ONE_HOT = 167
MSE = 168
MAE = 169
PSNR = 170
WEIGHTED_MEAN = 171
HUBER_LOSS = 172
CROSS_ENTROPY = 173
ADD_KEY = 174
REMOVE_KEY = 175
PUSH = 176
POP = 177
CLEAR = 178
HAS = 179
GET = 180
CONCAT = 181
STACK = 182
NONZERO = 183
INT = 184
FLOAT = 185
UPPER = 186
LOWER = 187
TRIM = 188
SPLIT = 189
JOIN = 190
SUBSTRING = 191
FIND = 192
REPLACE = 193
REGEX_SEARCH = 194
REGEX_REPLACE = 195
FORMAT = 196
TO_JSON = 197
FROM_JSON = 198
DILATE = 199
ERODE = 200
MORPH_OPEN = 201
MORPH_CLOSE = 202
RGB_TO_OKLAB = 203
LUMINANCE = 204
RGB_TO_CIELAB = 205
OKLAB_TO_RGB = 206
CIELAB_TO_RGB = 207
RGB_TO_HSV = 208
HSV_TO_RGB = 209
INT_TO_RGB = 210
RGB_TO_INT = 211
INTERPOLATE_LINEAR = 212
INTERPOLATE_AREA = 213
INTERPOLATE_NEAREST = 214
TEXT_IMAGE = 215
AS_NESTED = 216
SVD = 217
DIAG = 218
IF = 219
ELSE = 220
WHILE = 221
FOR = 222
IN = 223
BREAK = 224
CONTINUE = 225
RETURN = 226
TIMESTAMP = 227
SORT = 228
ARGSORT = 229
ARGMIN = 230
ARGMAX = 231
SOFTMAX = 232
SOFTMIN = 233
UNIQUE = 234
FLIP = 235
STARTSWITH = 236
ENDSWITH = 237
SQUEEZE = 238
UNSQUEEZE = 239
ROLL = 240
COV = 241
CORR = 242
ENTROPY = 243
CROP = 244
NONE = 245
COORDS = 246
GATHER = 247
SCATTER = 248
SCATTER_ADD = 249
NOISE = 250
PINK_NOISE = 251
BROWN_NOISE = 252
RAND = 253
CAUCHY = 254
EXPONENTIAL = 255
LOGNORMAL = 256
BERNOULLI = 257
POISSON = 258
GAMMADIST = 259
BETADIST = 260
LAPLACEDIST = 261
GUMBELDIST = 262
WEIBULLDIST = 263
CHI2DIST = 264
STUDENTTDIST = 265
PERLIN = 266
CELLULAR = 267
PLASMA = 268
RIDGED = 269
DOMAIN_WARP = 270
PLUS = 271
MINUS = 272
MULT = 273
DIV = 274
MOD = 275
POW = 276
LSHIFT = 277
RSHIFT = 278
GE = 279
GT = 280
LE = 281
LT = 282
EQ = 283
EQUEALS = 284
PLUS_EQ = 285
MINUS_EQ = 286
MULT_EQ = 287
DIV_EQ = 288
MOD_EQ = 289
NE = 290
PIPE = 291
LPAREN = 292
RPAREN = 293
COMMA = 294
SEMICOLON = 295
ARROW = 296
LBRACKET = 297
RBRACKET = 298
QUESTION = 299
COLON = 300
LBRACE = 301
RBRACE = 302
NUMBER = 303
CONSTANT = 304
STRING = 305
VARIABLE = 306
SL_COMMENT = 307
ML_COMMENT = 308
WS = 309
channelNames = [ u"DEFAULT_TOKEN_CHANNEL", u"HIDDEN" ]
modeNames = [ "DEFAULT_MODE" ]
literalNames = [ "<INVALID>",
"'sin'", "'cos'", "'tan'", "'asin'", "'acos'", "'atan'", "'atan2'",
"'sinh'", "'cosh'", "'tanh'", "'asinh'", "'acosh'", "'atanh'",
"'abs'", "'sqrt'", "'ln'", "'log'", "'log2'", "'exp'", "'log1p'",
"'expm1'", "'sinc'", "'cbrt'", "'reciprocal'", "'logaddexp'",
"'logsumexp'", "'norm'", "'normalize'", "'group_norm'", "'outer'",
"'trace'", "'det'", "'rfft'", "'irfft'", "'isnan'", "'isinf'",
"'isfinite'", "'smin'", "'smax'", "'tmin'", "'tmax'", "'tnorm'",
"'snorm'", "'floor'", "'ceil'", "'round'", "'gamma'", "'pow'",
"'sigm'", "'sigm_karras'", "'sigm_exponential'", "'sigm_polyexponential'",
"'sigm_laplace'", "'clamp'", "'fft'", "'ifft'", "'angle'", "'print'",
"'lerp'", "'interp'", "'slerp'", "'step'", "'smoothstep'", "'fract'",
"'relu'", "'softsign'", "'leaky_relu'", "'softplus'", "'gelu'",
"'silu'", "'sign'", "'degrees'", "'radians'", "'logical_not'",
"'logical_and'", "'logical_or'", "'hypot'", "'map'", "'swap'",
"'range'", "'linspace'", "'logspace'", "'topk'", "'botk'", "'pinv'",
"'inv'", "'sum'", "'mean'", "'std'", "'var'", "'prod'", "'isclose'",
"'allclose'", "'quantile'", "'dot'", "'moment'", "'erf'", "'erfc'",
"'erfinv'", "'any'", "'all'", "'edge'", "'distance_transform'",
"'grayscale'", "'median'", "'mode'", "'cumsum'", "'cumprod'",
"'smootherstep'", "'remap'", "'keys'", "'repeat'", "'flatten'",
"'append'", "'get_value'", "'flow_apply'", "'motion_mask'",
"'flow_to_image'", "'where'", "'overlay'", "'blend'", "'pad'",
"'cross'", "'matmul'", "'solve'", "'matrix_rank'", "'rife'",
"'shape'", "'tensor'", "'zeros'", "'ones'", "'eye'", "'one_hot'",
"'mse'", "'mae'", "'psnr'", "'weighted_mean'", "'huber_loss'",
"'cross_entropy'", "'add_key'", "'stack_push'", "'stack_pop'",
"'stack_clear'", "'stack_has'", "'stack_get'", "'stack'", "'nonzero'",
"'int'", "'float'", "'upper'", "'lower'", "'trim'", "'split'",
"'join'", "'find'", "'replace'", "'regex_search'", "'regex_replace'",
"'format'", "'dilate'", "'erode'", "'morph_open'", "'morph_close'",
"'rgb_to_oklab'", "'luminance'", "'rgb_to_cielab'", "'oklab_to_rgb'",
"'cielab_to_rgb'", "'rgb_to_hsv'", "'hsv_to_rgb'", "'int_to_rgb'",
"'rgb_to_int'", "'interpolate_linear'", "'interpolate_area'",
"'text_image'", "'if'", "'else'", "'while'", "'for'", "'in'",
"'break'", "'continue'", "'return'", "'sort'", "'argsort'",
"'argmin'", "'argmax'", "'softmax'", "'softmin'", "'unique'",
"'flip'", "'startswith'", "'endswith'", "'squeeze'", "'unsqueeze'",
"'roll'", "'cov'", "'entropy'", "'crop'", "'gather'", "'scatter'",
"'scatter_add'", "'+'", "'-'", "'*'", "'/'", "'%'", "'^'", "'<<'",
"'>>'", "'>='", "'>'", "'<='", "'<'", "'=='", "'='", "'+='",
"'-='", "'*='", "'/='", "'%='", "'!='", "'|'", "'('", "')'",
"','", "';'", "'->'", "'['", "']'", "'?'", "':'", "'{'", "'}'" ]
symbolicNames = [ "<INVALID>",
"SIN", "COS", "TAN", "ASIN", "ACOS", "ATAN", "ATAN2", "SINH",
"COSH", "TANH", "ASINH", "ACOSH", "ATANH", "ABS", "SQRT", "LN",
"LOG", "LOG2", "EXP", "LOG1P", "EXPM1", "SINC", "CBRT", "RECIPROCAL",
"LOGADDEXP", "LOGSUMEXP", "NORM", "NORMALIZE", "GROUP_NORM",
"OUTER", "TRACE", "DET", "RFFT", "IRFFT", "ISNAN", "ISINF",
"ISFINITE", "SMIN", "SMAX", "TMIN", "TMAX", "TNORM", "SNORM",
"FLOOR", "CEIL", "ROUND", "GAMMA", "POWE", "SIGM", "SIGM_KARRAS",
"SIGM_EXPONENTIAL", "SIGM_POLYEXPONENTIAL", "SIGM_LAPLACE",
"CLAMP", "SFFT", "SIFFT", "ANGL", "PRNT", "PRINT_SHAPE", "NVL",
"LERP", "INTERP", "SLERP", "STEP", "SMOOTHSTEP", "FRACT", "RELU",
"SOFTSIGN", "LEAKY_RELU", "SOFTPLUS", "GELU", "SILU", "SIGN",
"DEGREES", "RADIANS", "LOGICAL_NOT", "LOGICAL_AND", "LOGICAL_OR",
"HYPOT", "MAP", "EZCONV", "CONV", "SWAP", "TRANSPOSE", "PERM",
"RESHAPE", "RANGE", "LINSPACE", "LOGSPACE", "TOPK", "BOTK",
"PINV", "INV", "SUM", "MEAN", "STD", "VAR", "PROD", "ISCLOSE",
"ALLCLOSE", "QUARTILE", "PERCENTILE", "QUANTILE", "DOT", "MOMENT",
"ERF", "ERFC", "ERFINV", "ANY", "ALL", "EDGE", "DISTANCE_TRANSFORM",
"GRAYSCALE", "GAUSSIAN", "MEDIAN", "MODE", "CUMSUM", "CUMPROD",
"TOPK_IND", "BOTK_IND", "CUBIC_EASE", "ELASTIC_EASE", "SINE_EASE",
"SMOOTHERSTEP", "DIST", "REMAP", "COSSIM", "COUNT", "KEYS",
"ENABLE_TRACKING", "DISABLE_TRACKING", "RESET_TRACKING", "GET_CHANGED_KEYS",
"GET_ADDED_KEYS", "GET_REMOVED_KEYS", "GET_UNCHANGED_KEYS",
"REPEAT", "FLATTEN", "APPEND", "GET_VALUE", "FLOW_APPLY", "BATCH_SHUFFLE",
"MOTION_MASK", "FLOW_TO_IMAGE", "FLOW_MAG", "FLOW_ANG", "WHERE",
"HISTOGRAM", "OVERLAY", "BLEND", "PAD", "CROSS", "MATMUL", "SOLVE",
"MATRIX_RANK", "RIFE", "BNOT", "BITCOUNT", "SHAPE", "BAND",
"XOR", "BOR", "TENSOR", "ZEROS", "ONES", "EYE", "ONE_HOT", "MSE",
"MAE", "PSNR", "WEIGHTED_MEAN", "HUBER_LOSS", "CROSS_ENTROPY",
"ADD_KEY", "REMOVE_KEY", "PUSH", "POP", "CLEAR", "HAS", "GET",
"CONCAT", "STACK", "NONZERO", "INT", "FLOAT", "UPPER", "LOWER",
"TRIM", "SPLIT", "JOIN", "SUBSTRING", "FIND", "REPLACE", "REGEX_SEARCH",
"REGEX_REPLACE", "FORMAT", "TO_JSON", "FROM_JSON", "DILATE",
"ERODE", "MORPH_OPEN", "MORPH_CLOSE", "RGB_TO_OKLAB", "LUMINANCE",
"RGB_TO_CIELAB", "OKLAB_TO_RGB", "CIELAB_TO_RGB", "RGB_TO_HSV",
"HSV_TO_RGB", "INT_TO_RGB", "RGB_TO_INT", "INTERPOLATE_LINEAR",
"INTERPOLATE_AREA", "INTERPOLATE_NEAREST", "TEXT_IMAGE", "AS_NESTED",
"SVD", "DIAG", "IF", "ELSE", "WHILE", "FOR", "IN", "BREAK",
"CONTINUE", "RETURN", "TIMESTAMP", "SORT", "ARGSORT", "ARGMIN",
"ARGMAX", "SOFTMAX", "SOFTMIN", "UNIQUE", "FLIP", "STARTSWITH",
"ENDSWITH", "SQUEEZE", "UNSQUEEZE", "ROLL", "COV", "CORR", "ENTROPY",
"CROP", "NONE", "COORDS", "GATHER", "SCATTER", "SCATTER_ADD",
"NOISE", "PINK_NOISE", "BROWN_NOISE", "RAND", "CAUCHY", "EXPONENTIAL",
"LOGNORMAL", "BERNOULLI", "POISSON", "GAMMADIST", "BETADIST",
"LAPLACEDIST", "GUMBELDIST", "WEIBULLDIST", "CHI2DIST", "STUDENTTDIST",
"PERLIN", "CELLULAR", "PLASMA", "RIDGED", "DOMAIN_WARP", "PLUS",
"MINUS", "MULT", "DIV", "MOD", "POW", "LSHIFT", "RSHIFT", "GE",
"GT", "LE", "LT", "EQ", "EQUEALS", "PLUS_EQ", "MINUS_EQ", "MULT_EQ",
"DIV_EQ", "MOD_EQ", "NE", "PIPE", "LPAREN", "RPAREN", "COMMA",
"SEMICOLON", "ARROW", "LBRACKET", "RBRACKET", "QUESTION", "COLON",
"LBRACE", "RBRACE", "NUMBER", "CONSTANT", "STRING", "VARIABLE",
"SL_COMMENT", "ML_COMMENT", "WS" ]
ruleNames = [ "SIN", "COS", "TAN", "ASIN", "ACOS", "ATAN", "ATAN2",
"SINH", "COSH", "TANH", "ASINH", "ACOSH", "ATANH", "ABS",
"SQRT", "LN", "LOG", "LOG2", "EXP", "LOG1P", "EXPM1",
"SINC", "CBRT", "RECIPROCAL", "LOGADDEXP", "LOGSUMEXP",
"NORM", "NORMALIZE", "GROUP_NORM", "OUTER", "TRACE", "DET",
"RFFT", "IRFFT", "ISNAN", "ISINF", "ISFINITE", "SMIN",
"SMAX", "TMIN", "TMAX", "TNORM", "SNORM", "FLOOR", "CEIL",
"ROUND", "GAMMA", "POWE", "SIGM", "SIGM_KARRAS", "SIGM_EXPONENTIAL",
"SIGM_POLYEXPONENTIAL", "SIGM_LAPLACE", "CLAMP", "SFFT",
"SIFFT", "ANGL", "PRNT", "PRINT_SHAPE", "NVL", "LERP",
"INTERP", "SLERP", "STEP", "SMOOTHSTEP", "FRACT", "RELU",
"SOFTSIGN", "LEAKY_RELU", "SOFTPLUS", "GELU", "SILU",
"SIGN", "DEGREES", "RADIANS", "LOGICAL_NOT", "LOGICAL_AND",
"LOGICAL_OR", "HYPOT", "MAP", "EZCONV", "CONV", "SWAP",
"TRANSPOSE", "PERM", "RESHAPE", "RANGE", "LINSPACE", "LOGSPACE",
"TOPK", "BOTK", "PINV", "INV", "SUM", "MEAN", "STD", "VAR",
"PROD", "ISCLOSE", "ALLCLOSE", "QUARTILE", "PERCENTILE",
"QUANTILE", "DOT", "MOMENT", "ERF", "ERFC", "ERFINV",
"ANY", "ALL", "EDGE", "DISTANCE_TRANSFORM", "GRAYSCALE",
"GAUSSIAN", "MEDIAN", "MODE", "CUMSUM", "CUMPROD", "TOPK_IND",
"BOTK_IND", "CUBIC_EASE", "ELASTIC_EASE", "SINE_EASE",
"SMOOTHERSTEP", "DIST", "REMAP", "COSSIM", "COUNT", "KEYS",
"ENABLE_TRACKING", "DISABLE_TRACKING", "RESET_TRACKING",
"GET_CHANGED_KEYS", "GET_ADDED_KEYS", "GET_REMOVED_KEYS",
"GET_UNCHANGED_KEYS", "REPEAT", "FLATTEN", "APPEND", "GET_VALUE",
"FLOW_APPLY", "BATCH_SHUFFLE", "MOTION_MASK", "FLOW_TO_IMAGE",
"FLOW_MAG", "FLOW_ANG", "WHERE", "HISTOGRAM", "OVERLAY",
"BLEND", "PAD", "CROSS", "MATMUL", "SOLVE", "MATRIX_RANK",
"RIFE", "BNOT", "BITCOUNT", "SHAPE", "BAND", "XOR", "BOR",
"TENSOR", "ZEROS", "ONES", "EYE", "ONE_HOT", "MSE", "MAE",
"PSNR", "WEIGHTED_MEAN", "HUBER_LOSS", "CROSS_ENTROPY",
"ADD_KEY", "REMOVE_KEY", "PUSH", "POP", "CLEAR", "HAS",
"GET", "CONCAT", "STACK", "NONZERO", "INT", "FLOAT", "UPPER",
"LOWER", "TRIM", "SPLIT", "JOIN", "SUBSTRING", "FIND",
"REPLACE", "REGEX_SEARCH", "REGEX_REPLACE", "FORMAT",
"TO_JSON", "FROM_JSON", "DILATE", "ERODE", "MORPH_OPEN",
"MORPH_CLOSE", "RGB_TO_OKLAB", "LUMINANCE", "RGB_TO_CIELAB",
"OKLAB_TO_RGB", "CIELAB_TO_RGB", "RGB_TO_HSV", "HSV_TO_RGB",
"INT_TO_RGB", "RGB_TO_INT", "INTERPOLATE_LINEAR", "INTERPOLATE_AREA",
"INTERPOLATE_NEAREST", "TEXT_IMAGE", "AS_NESTED", "SVD",
"DIAG", "IF", "ELSE", "WHILE", "FOR", "IN", "BREAK", "CONTINUE",
"RETURN", "TIMESTAMP", "SORT", "ARGSORT", "ARGMIN", "ARGMAX",
"SOFTMAX", "SOFTMIN", "UNIQUE", "FLIP", "STARTSWITH",
"ENDSWITH", "SQUEEZE", "UNSQUEEZE", "ROLL", "COV", "CORR",
"ENTROPY", "CROP", "NONE", "COORDS", "GATHER", "SCATTER",
"SCATTER_ADD", "NOISE", "PINK_NOISE", "BROWN_NOISE", "RAND",
"CAUCHY", "EXPONENTIAL", "LOGNORMAL", "BERNOULLI", "POISSON",
"GAMMADIST", "BETADIST", "LAPLACEDIST", "GUMBELDIST",
"WEIBULLDIST", "CHI2DIST", "STUDENTTDIST", "PERLIN", "CELLULAR",
"PLASMA", "RIDGED", "DOMAIN_WARP", "PLUS", "MINUS", "MULT",
"DIV", "MOD", "POW", "LSHIFT", "RSHIFT", "GE", "GT", "LE",
"LT", "EQ", "EQUEALS", "PLUS_EQ", "MINUS_EQ", "MULT_EQ",
"DIV_EQ", "MOD_EQ", "NE", "PIPE", "LPAREN", "RPAREN",
"COMMA", "SEMICOLON", "ARROW", "LBRACKET", "RBRACKET",
"QUESTION", "COLON", "LBRACE", "RBRACE", "NUMBER", "CONSTANT",
"STRING", "VARIABLE", "SL_COMMENT", "ML_COMMENT", "WS" ]
grammarFileName = "MathExpr.g4"
def __init__(self, input=None, output:TextIO = sys.stdout):
super().__init__(input, output)
self.checkVersion("4.13.2")
self._interp = LexerATNSimulator(self, self.atn, self.decisionsToDFA, PredictionContextCache())
self._actions = None
self._predicates = None