[[[0,9,19,1,0],[0,19,29,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,75,85,1,0],[0,87,97,1,0],[0,99,109,1,0],[0,109,119,1,0],[1,111,121,1,0],[1,121,130,1,0],[0,122,132,1,0],[1,130,139,1,0],[0,132,142,1,0],[1,139,148,1,0],[0,143,153,1,0],[1,149,158,1,0],[0,155,165,1,0],[1,159,168,1,0],[0,165,175,1,0],[1,170,179,1,0],[0,175,185,1,0],[1,182,191,1,0],[0,185,195,1,0],[0,200,210,1,0],[1,204,214,1,0],[0,210,220,1,0],[1,216,225,1,0],[1,226,235,1,0],[0,227,237,1,0],[1,238,247,1,0],[0,239,249,1,0],[1,250,259,1,0],[0,251,261,1,0],[1,259,268,1,0],[0,261,271,1,0],[1,268,277,1,0],[0,271,281,1,0],[1,280,289,1,0],[0,281,291,1,0],[0,291,301,1,0],[1,293,302,1,0],[0,302,312,1,0],[1,304,313,1,0],[1,313,323,1,0],[0,314,324,1,0],[1,325,334,1,0],[0,326,336,1,0],[1,337,346,1,0],[0,340,350,1,0],[1,347,356,1,0],[0,350,360,1,0],[1,357,366,1,0],[0,360,370,1,0],[1,367,377,1,0],[1,390,399,1,0],[1,399,409,1,0],[1,410,419,1,0],[1,423,433,1,0],[1,433,442,1,0],[1,444,454,1,0],[1,458,467,1,0]],[[0,31,41,1,0],[0,41,51,1,0],[0,51,61,1,0],[0,63,73,1,0],[0,73,83,1,0],[0,85,95,1,0],[1,91,100,1,0],[0,95,105,1,0],[1,107,117,1,0],[0,108,118,1,0],[0,118,128,1,0],[1,126,136,1,0],[0,128,138,1,0],[1,136,145,1,0],[0,138,148,1,0],[1,147,156,1,0],[0,148,158,1,0],[1,156,165,1,0],[0,160,170,1,0],[0,170,180,1,0],[1,180,190,1,0],[0,184,194,1,0],[1,192,200,1,0],[0,194,204,1,0],[1,201,210,1,0],[0,204,214,1,0],[1,211,220,1,0],[0,214,224,1,0],[1,221,230,1,0],[0,226,236,1,0],[1,233,243,1,0],[0,239,249,1,0],[1,243,252,1,0],[0,249,259,1,0],[1,257,266,1,0],[0,260,270,1,0],[1,267,276,1,0],[0,272,282,1,0],[1,278,287,1,0],[0,284,294,1,0],[1,291,300,1,0],[0,294,304,1,0],[1,303,312,1,0],[0,308,318,1,0],[1,313,322,1,0],[0,320,330,1,0],[1,326,335,1,0],[0,332,342,1,0],[1,337,346,1,0],[0,343,353,1,0],[1,355,364,1,0],[0,356,366,1,0],[1,367,376,1,0],[0,369,379,1,0],[1,376,386,1,0],[0,379,389,1,0],[1,388,397,1,0],[1,397,406,1,0],[1,408,417,1,0],[1,426,435,1,0],[1,435,444,1,0],[1,445,455,1,0],[1,462,471,1,0],[1,471,473,1,0]],[[0,25,35,1,0],[0,35,45,1,0],[0,45,55,1,0],[0,55,65,1,0],[0,67,77,1,0],[0,77,87,1,0],[0,87,97,1,0],[1,91,101,1,0],[0,98,108,1,0],[1,101,111,1,0],[0,109,119,1,0],[0,120,130,1,0],[1,127,137,1,0],[0,134,144,1,0],[1,137,147,1,0],[0,144,154,1,0],[1,149,159,1,0],[0,154,164,1,0],[1,159,169,1,0],[0,164,174,1,0],[1,169,179,1,0],[0,174,184,1,0],[1,180,190,1,0],[0,189,199,1,0],[1,192,202,1,0],[0,201,211,1,0],[1,203,213,1,0],[0,213,223,1,0],[1,216,226,1,0],[0,223,233,1,0],[0,233,243,1,0],[1,243,253,1,0],[0,244,254,1,0],[1,256,266,1,0],[0,257,267,1,0],[1,266,276,1,0],[0,267,277,1,0],[1,276,286,1,0],[0,277,287,1,0],[1,289,299,1,0],[0,290,300,1,0],[0,301,311,1,0],[1,305,315,1,0],[0,313,323,1,0],[1,315,325,1,0],[1,326,336,1,0],[0,330,336,1,0],[1,336,346,1,0],[0,337,347,1,0],[0,347,357,1,0],[1,349,359,1,0],[1,359,369,1,0],[0,360,370,1,0],[1,372,382,1,0],[0,377,379,1,0],[0,382,390,1,0],[1,387,397,1,0],[1,397,407,1,0],[1,407,413,1,0],[1,419,429,1,0],[0,420,424,1,0],[1,429,439,1,0],[1,453,463,1,0]],[[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,73,83,1,0],[0,83,93,1,0],[1,91,101,1,0],[0,96,106,1,0],[0,106,116,1,0],[1,111,121,1,0],[0,116,126,1,0],[1,124,134,1,0],[0,126,136,1,0],[1,135,145,1,0],[0,138,148,1,0],[1,145,155,1,0],[0,148,156,1,0],[1,155,165,1,0],[0,156,166,1,0],[0,166,176,1,0],[1,170,180,1,0],[0,176,186,1,0],[1,182,192,1,0],[0,191,201,1,0],[1,193,203,1,0],[0,206,216,1,0],[0,216,226,1,0],[1,222,230,1,0],[0,227,237,1,0],[1,231,241,1,0],[0,237,247,1,0],[1,245,255,1,0],[0,251,261,1,0],[1,258,268,1,0],[0,261,271,1,0],[1,274,284,1,0],[0,275,279,1,0],[1,284,294,1,0],[0,286,296,1,0],[0,296,306,1,0],[1,299,309,1,0],[1,309,319,1,0],[0,310,320,1,0],[0,320,330,1,0],[1,324,334,1,0],[1,336,346,1,0],[0,336,346,1,0],[0,346,356,1,0],[1,357,367,1,0],[0,364,370,1,0],[1,368,378,1,0],[0,372,382,1,0],[1,384,394,1,0],[0,389,391,1,0],[0,391,401,1,0],[1,398,408,1,0],[1,408,418,1,0],[1,419,429,1,0],[1,435,443,1,0],[1,443,453,1,0],[1,456,466,1,0],[1,466,476,1,0]],[[0,4,14,1,0],[0,14,24,1,0],[0,33,43,1,0],[0,44,54,1,0],[0,54,64,1,0],[0,66,76,1,0],[0,78,88,1,0],[1,91,100,1,0],[0,92,102,1,0],[0,104,114,1,0],[1,109,119,1,0],[0,114,124,1,0],[1,119,128,1,0],[0,124,134,1,0],[1,128,138,1,0],[0,134,144,1,0],[1,141,151,1,0],[0,145,155,1,0],[1,151,161,1,0],[0,155,165,1,0],[1,163,173,1,0],[0,169,179,1,0],[1,179,189,1,0],[0,181,191,1,0],[0,191,201,1,0],[1,196,206,1,0],[1,207,217,1,0],[0,209,219,1,0],[1,218,228,1,0],[0,219,229,1,0],[1,228,237,1,0],[0,229,239,1,0],[1,238,247,1,0],[0,239,249,1,0],[0,249,259,1,0],[1,256,266,1,0],[0,259,269,1,0],[1,268,278,1,0],[0,271,281,1,0],[1,283,293,1,0],[0,284,294,1,0],[0,296,306,1,0],[1,301,311,1,0],[0,306,316,1,0],[1,313,322,1,0],[0,316,326,1,0],[1,323,332,1,0],[1,333,342,1,0],[0,334,344,1,0],[1,344,353,1,0],[0,348,358,1,0],[1,353,354,1,0],[0,358,368,1,0],[1,366,376,1,0],[0,370,380,1,0],[1,378,388,1,0],[1,388,398,1,0],[1,398,402,1,0],[1,402,412,1,0],[1,412,422,1,0],[1,422,431,1,0],[1,431,441,1,0],[1,441,451,1,0]],[[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,72,82,1,0],[0,82,92,1,0],[1,91,101,1,0],[0,92,102,1,0],[1,104,114,1,0],[0,105,115,1,0],[1,114,124,1,0],[0,116,126,1,0],[1,124,134,1,0],[0,128,138,1,0],[1,138,147,1,0],[0,139,149,1,0],[1,147,156,1,0],[0,149,159,1,0],[1,158,167,1,0],[0,161,171,1,0],[0,171,181,1,0],[1,177,187,1,0],[0,182,192,1,0],[0,195,205,1,0],[1,198,208,1,0],[0,207,217,1,0],[1,212,222,1,0],[0,219,229,1,0],[1,222,231,1,0],[0,229,239,1,0],[1,231,241,1,0],[0,239,249,1,0],[1,243,253,1,0],[0,249,259,1,0],[1,253,263,1,0],[0,260,270,1,0],[1,265,274,1,0],[0,271,281,1,0],[1,274,283,1,0],[1,283,293,1,0],[0,287,297,1,0],[1,293,303,1,0],[0,297,307,1,0],[1,303,313,1,0],[0,311,321,1,0],[1,313,323,1,0],[0,324,334,1,0],[1,327,337,1,0],[1,338,348,1,0],[0,340,350,1,0],[1,348,358,1,0],[0,350,360,1,0],[1,358,368,1,0],[0,360,370,1,0],[1,369,379,1,0],[1,379,389,1,0],[1,389,399,1,0],[0,392,402,1,0],[1,407,417,1,0],[1,417,427,1,0],[1,427,429,1,0]],[[0,24,34,1,0],[0,34,44,1,0],[0,44,54,1,0],[0,54,64,1,0],[0,64,74,1,0],[0,74,84,1,0],[0,84,94,1,0],[1,91,100,1,0],[0,94,104,1,0],[1,105,107,1,0],[1,108,117,1,0],[0,109,119,1,0],[1,117,127,1,0],[0,120,130,1,0],[1,129,138,1,0],[0,133,143,1,0],[1,138,148,1,0],[0,143,153,1,0],[1,148,158,1,0],[0,153,163,1,0],[1,158,167,1,0],[0,163,173,1,0],[1,168,177,1,0],[0,174,184,1,0],[1,177,186,1,0],[0,184,194,1,0],[1,187,196,1,0],[1,196,205,1,0],[0,197,207,1,0],[1,205,215,1,0],[0,208,214,1,0],[1,215,225,1,0],[0,216,226,1,0],[1,227,237,1,0],[0,228,238,1,0],[0,239,249,1,0],[1,249,258,1,0],[0,250,260,1,0],[1,258,266,1,0],[0,260,270,1,0],[1,266,276,1,0],[0,272,282,1,0],[1,276,286,1,0],[0,282,292,1,0],[1,290,300,1,0],[1,300,310,1,0],[0,301,311,1,0],[1,310,320,1,0],[0,311,313,1,0],[0,313,323,1,0],[1,321,331,1,0],[0,323,331,1,0],[0,334,344,1,0],[1,336,346,1,0],[1,349,358,1,0],[0,351,361,1,0],[1,361,371,1,0],[0,362,366,1,0],[0,369,379,1,0],[1,374,384,1,0],[0,382,392,1,0],[1,386,395,1,0],[1,396,405,1,0],[1,407,416,1,0],[1,421,430,1,0]],[[0,0,10,1,0],[0,17,27,1,0],[0,36,46,1,0],[0,46,56,1,0],[0,56,66,1,0],[0,66,76,1,0],[0,76,86,1,0],[0,86,96,1,0],[1,92,101,1,0],[0,96,106,1,0],[1,101,110,1,0],[0,107,117,1,0],[1,110,119,1,0],[0,117,127,1,0],[1,121,131,1,0],[1,131,140,1,0],[0,132,142,1,0],[1,141,145,1,0],[0,142,152,1,0],[1,151,160,1,0],[0,152,162,1,0],[1,160,170,1,0],[0,162,172,1,0],[1,171,181,1,0],[0,178,188,1,0],[1,183,193,1,0],[0,190,200,1,0],[1,193,203,1,0],[1,203,212,1,0],[0,208,218,1,0],[1,215,224,1,0],[0,218,228,1,0],[1,225,234,1,0],[0,228,238,1,0],[1,235,244,1,0],[0,240,250,1,0],[1,244,254,1,0],[0,251,261,1,0],[1,254,264,1,0],[1,264,273,1,0],[0,265,275,1,0],[1,273,282,1,0],[0,275,285,1,0],[0,285,289,1,0],[0,289,299,1,0],[1,293,302,1,0],[0,299,307,1,0],[1,303,313,1,0],[0,310,320,1,0],[0,320,330,1,0],[1,323,332,1,0],[1,337,347,1,0],[0,341,347,1,0],[1,347,357,1,0],[0,348,358,1,0],[0,362,372,1,0],[1,368,377,1,0],[0,372,382,1,0],[1,377,386,1,0],[0,382,384,1,0],[1,386,395,1,0],[1,395,405,1,0],[1,409,418,1,0],[1,418,428,1,0],[1,433,442,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,50,1,0],[0,53,63,1,0],[0,63,73,1,0],[0,78,88,1,0],[0,89,95,1,0],[1,91,101,1,0],[1,101,111,1,0],[0,102,112,1,0],[1,111,121,1,0],[0,112,122,1,0],[1,121,131,1,0],[0,122,132,1,0],[0,132,142,1,0],[1,135,145,1,0],[0,146,156,1,0],[1,149,159,1,0],[0,156,166,1,0],[1,160,170,1,0],[0,166,176,1,0],[1,172,182,1,0],[0,179,181,1,0],[0,182,192,1,0],[1,186,196,1,0],[0,192,202,1,0],[1,197,207,1,0],[0,202,212,1,0],[1,207,217,1,0],[0,215,225,1,0],[1,217,227,1,0],[0,225,235,1,0],[1,228,238,1,0],[0,235,245,1,0],[1,238,248,1,0],[1,249,259,1,0],[0,251,261,1,0],[0,262,266,1,0],[1,264,274,1,0],[0,266,276,1,0],[1,274,284,1,0],[0,276,286,1,0],[1,284,294,1,0],[0,288,298,1,0],[1,294,304,1,0],[0,298,308,1,0],[1,304,314,1,0],[0,310,320,1,0],[1,317,327,1,0],[0,320,330,1,0],[1,329,338,1,0],[0,330,340,1,0],[1,338,348,1,0],[0,340,350,1,0],[1,351,360,1,0],[1,363,372,1,0],[1,372,382,1,0],[0,373,383,1,0],[1,391,392,1,0],[1,392,402,1,0],[1,406,416,1,0],[1,424,432,1,0]],[[0,3,13,1,0],[0,13,23,1,0],[0,23,33,1,0],[0,33,43,1,0],[0,44,54,1,0],[0,56,66,1,0],[0,69,79,1,0],[0,82,84,1,0],[0,84,94,1,0],[1,91,101,1,0],[0,98,108,1,0],[1,107,117,1,0],[0,108,118,1,0],[0,118,128,1,0],[0,128,138,1,0],[1,133,143,1,0],[0,139,149,1,0],[1,148,157,1,0],[0,149,159,1,0],[1,162,171,1,0],[0,163,173,1,0],[1,176,186,1,0],[0,178,184,1,0],[0,184,194,1,0],[1,187,197,1,0],[0,196,206,1,0],[1,201,210,1,0],[0,206,216,1,0],[1,213,223,1,0],[0,218,228,1,0],[1,224,234,1,0],[0,228,238,1,0],[1,236,246,1,0],[0,238,246,1,0],[0,246,256,1,0],[1,251,260,1,0],[1,260,270,1,0],[0,261,271,1,0],[0,271,281,1,0],[1,276,285,1,0],[0,283,293,1,0],[1,285,295,1,0],[1,295,305,1,0],[0,296,306,1,0],[1,305,315,1,0],[0,306,310,1,0],[0,311,321,1,0],[1,320,330,1,0],[0,324,334,1,0],[1,333,343,1,0],[0,334,344,1,0],[1,343,353,1,0],[0,344,354,1,0],[1,354,364,1,0],[0,354,364,1,0],[1,365,375,1,0],[1,378,388,1,0],[1,394,404,1,0],[1,408,418,1,0],[1,418,428,1,0],[1,428,430,1,0],[1,430,440,1,0],[1,446,456,1,0],[1,456,465,1,0]],[[0,1,11,1,0],[0,11,21,1,0],[0,27,37,1,0],[0,39,49,1,0],[0,49,59,1,0],[0,62,72,1,0],[0,75,85,1,0],[0,88,98,1,0],[1,93,103,1,0],[0,99,109,1,0],[0,109,119,1,0],[1,114,124,1,0],[0,121,131,1,0],[0,134,144,1,0],[1,141,151,1,0],[0,144,154,1,0],[1,151,161,1,0],[0,154,164,1,0],[1,161,171,1,0],[0,167,177,1,0],[1,172,182,1,0],[0,178,188,1,0],[1,183,193,1,0],[0,188,198,1,0],[1,194,204,1,0],[0,198,208,1,0],[1,208,218,1,0],[0,210,220,1,0],[1,218,227,1,0],[0,220,230,1,0],[1,230,240,1,0],[0,231,241,1,0],[1,246,255,1,0],[0,247,257,1,0],[0,257,267,1,0],[1,261,270,1,0],[0,267,277,1,0],[1,271,280,1,0],[1,280,284,1,0],[1,284,293,1,0],[0,285,295,1,0],[1,293,302,1,0],[0,295,305,1,0],[1,303,312,1,0],[0,305,315,1,0],[1,314,323,1,0],[0,315,325,1,0],[1,323,332,1,0],[0,326,336,1,0],[1,332,341,1,0],[1,344,353,1,0],[0,345,355,1,0],[1,355,364,1,0],[1,365,374,1,0],[0,366,376,1,0],[1,374,383,1,0],[0,376,386,1,0],[1,388,397,1,0],[1,399,408,1,0],[1,410,419,1,0],[1,421,430,1,0],[1,430,439,1,0],[1,445,454,1,0],[1,458,460,1,0]],[[0,4,14,1,0],[0,14,24,1,0],[0,24,34,1,0],[0,34,44,1,0],[0,44,54,1,0],[0,54,64,1,0],[0,64,74,1,0],[0,75,85,1,0],[0,85,95,1,0],[1,91,101,1,0],[0,95,105,1,0],[1,106,116,1,0],[0,107,117,1,0],[0,119,129,1,0],[0,129,139,1,0],[1,136,146,1,0],[0,141,151,1,0],[1,150,159,1,0],[0,157,167,1,0],[1,160,170,1,0],[1,170,180,1,0],[0,171,181,1,0],[1,180,189,1,0],[0,181,191,1,0],[1,190,199,1,0],[0,191,201,1,0],[1,199,208,1,0],[0,201,211,1,0],[1,208,217,1,0],[0,212,222,1,0],[1,217,227,1,0],[0,226,236,1,0],[1,235,245,1,0],[0,239,249,1,0],[1,249,258,1,0],[0,250,260,1,0],[1,258,267,1,0],[0,260,270,1,0],[1,269,279,1,0],[0,275,285,1,0],[1,279,288,1,0],[0,286,296,1,0],[1,288,298,1,0],[1,300,310,1,0],[0,303,313,1,0],[1,310,320,1,0],[0,319,329,1,0],[1,321,331,1,0],[1,333,342,1,0],[0,334,344,1,0],[1,346,355,1,0],[0,346,356,1,0],[1,357,367,1,0],[0,362,372,1,0],[1,371,380,1,0],[1,383,392,1,0],[0,385,395,1,0],[1,392,395,1,0],[1,403,412,1,0],[1,418,427,1,0],[1,429,438,1,0],[1,439,448,1,0],[1,448,457,1,0]],[[0,0,10,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,64,74,1,0],[0,74,84,1,0],[0,84,94,1,0],[1,92,101,1,0],[0,98,102,1,0],[1,101,110,1,0],[0,102,110,1,0],[1,110,119,1,0],[0,113,123,1,0],[1,119,129,1,0],[0,123,133,1,0],[1,129,138,1,0],[0,134,144,1,0],[1,144,153,1,0],[0,145,155,1,0],[1,157,166,1,0],[0,160,162,1,0],[0,163,169,1,0],[1,167,176,1,0],[0,169,179,1,0],[1,176,185,1,0],[0,179,189,1,0],[1,185,195,1,0],[0,190,200,1,0],[1,195,205,1,0],[0,200,210,1,0],[1,210,219,1,0],[0,212,222,1,0],[1,219,228,1,0],[0,222,232,1,0],[1,231,240,1,0],[0,232,242,1,0],[1,246,255,1,0],[0,247,257,1,0],[1,255,265,1,0],[0,257,267,1,0],[1,265,274,1,0],[1,274,284,1,0],[0,275,285,1,0],[0,285,295,1,0],[1,286,296,1,0],[0,295,305,1,0],[1,299,309,1,0],[0,305,315,1,0],[1,309,318,1,0],[0,317,327,1,0],[1,321,330,1,0],[0,327,337,1,0],[1,330,339,1,0],[0,338,348,1,0],[1,340,349,1,0],[0,350,360,1,0],[1,355,364,1,0],[1,368,377,1,0],[1,377,381,1,0],[1,382,391,1,0],[1,394,403,1,0],[1,403,412,1,0],[1,412,421,1,0],[1,422,427,1,0]],[[0,0,10,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,34,44,1,0],[0,45,55,1,0],[0,56,66,1,0],[0,68,74,1,0],[0,77,87,1,0],[0,87,97,1,0],[1,92,101,1,0],[0,101,111,1,0],[0,114,124,1,0],[0,126,134,1,0],[1,128,138,1,0],[0,134,144,1,0],[1,144,153,1,0],[0,145,155,1,0],[0,155,165,1,0],[1,160,164,1,0],[0,166,168,1,0],[0,169,179,1,0],[0,179,189,1,0],[1,180,190,1,0],[0,189,199,1,0],[1,193,202,1,0],[0,199,209,1,0],[1,206,215,1,0],[0,209,213,1,0],[0,214,224,1,0],[1,220,229,1,0],[0,224,234,1,0],[1,229,238,1,0],[0,236,246,1,0],[1,242,251,1,0],[0,246,256,1,0],[1,255,264,1,0],[0,257,267,1,0],[1,265,274,1,0],[0,270,280,1,0],[1,274,283,1,0],[0,280,290,1,0],[1,283,292,1,0],[0,290,300,1,0],[1,294,303,1,0],[0,304,314,1,0],[1,307,316,1,0],[0,314,324,1,0],[1,316,325,1,0],[1,325,334,1,0],[0,326,336,1,0],[1,334,343,1,0],[0,339,349,1,0],[1,346,355,1,0],[1,357,366,1,0],[0,364,374,1,0],[1,369,378,1,0],[1,378,388,1,0],[1,388,397,1,0],[1,399,408,1,0],[1,408,418,1,0],[1,419,428,1,0],[1,428,437,1,0],[1,437,447,1,0],[1,447,457,1,0],[1,457,466,1,0],[1,466,472,1,0]],[[0,4,14,1,0],[0,14,24,1,0],[0,24,34,1,0],[0,34,44,1,0],[0,44,54,1,0],[0,54,64,1,0],[0,67,77,1,0],[0,78,88,1,0],[1,91,101,1,0],[0,95,105,1,0],[0,105,115,1,0],[1,106,116,1,0],[0,115,125,1,0],[1,123,133,1,0],[0,125,135,1,0],[1,133,143,1,0],[0,135,145,1,0],[1,143,153,1,0],[0,145,155,1,0],[1,155,165,1,0],[0,158,168,1,0],[1,167,177,1,0],[0,174,184,1,0],[0,184,194,1,0],[1,187,197,1,0],[0,195,205,1,0],[1,198,208,1,0],[0,207,217,1,0],[1,211,221,1,0],[0,217,227,1,0],[1,227,237,1,0],[0,228,238,1,0],[1,237,247,1,0],[0,238,248,1,0],[1,247,257,1,0],[0,248,258,1,0],[1,260,270,1,0],[0,262,272,1,0],[1,270,280,1,0],[0,272,282,1,0],[1,280,290,1,0],[0,284,294,1,0],[1,292,302,1,0],[0,295,305,1,0],[1,303,313,1,0],[0,308,318,1,0],[1,317,327,1,0],[0,318,328,1,0],[1,327,337,1,0],[1,337,347,1,0],[0,338,348,1,0],[1,347,357,1,0],[0,355,365,1,0],[1,360,370,1,0],[1,370,380,1,0],[0,372,382,1,0],[1,390,400,1,0],[1,401,411,1,0],[1,413,423,1,0],[1,423,433,1,0],[1,433,439,1,0]],[[0,1,11,1,0],[0,11,21,1,0],[0,21,31,1,0],[0,31,41,1,0],[0,41,51,1,0],[0,51,61,1,0],[0,61,71,1,0],[0,71,81,1,0],[0,81,91,1,0],[0,91,101,1,0],[1,93,103,1,0],[0,101,111,1,0],[1,103,113,1,0],[0,111,121,1,0],[1,119,129,1,0],[0,121,131,1,0],[0,131,141,1,0],[1,138,148,1,0],[0,147,157,1,0],[1,153,163,1,0],[0,157,167,1,0],[1,163,173,1,0],[1,174,184,1,0],[0,176,186,1,0],[1,187,197,1,0],[0,189,199,1,0],[1,199,209,1,0],[0,200,210,1,0],[0,210,220,1,0],[1,214,224,1,0],[0,220,230,1,0],[1,229,239,1,0],[0,230,240,1,0],[1,240,250,1,0],[0,241,251,1,0],[1,253,263,1,0],[0,254,264,1,0],[0,265,275,1,0],[1,268,278,1,0],[1,278,288,1,0],[0,283,293,1,0],[1,289,299,1,0],[0,294,304,1,0],[1,302,304,1,0],[1,305,315,1,0],[0,309,319,1,0],[1,316,326,1,0],[0,324,334,1,0],[1,326,336,1,0],[0,334,344,1,0],[1,340,350,1,0],[0,348,358,1,0],[1,352,362,1,0],[1,362,372,1,0],[1,380,390,1,0],[1,391,401,1,0],[0,392,402,1,0],[1,401,411,1,0],[1,417,427,1,0],[1,427,437,1,0],[1,440,450,1,0],[1,450,454,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,72,82,1,0],[0,82,92,1,0],[1,91,101,1,0],[0,92,100,1,0],[1,101,111,1,0],[0,102,112,1,0],[1,111,121,1,0],[0,112,122,1,0],[0,122,132,1,0],[1,125,135,1,0],[1,135,144,1,0],[0,139,149,1,0],[1,144,154,1,0],[0,149,159,1,0],[0,159,169,1,0],[1,161,171,1,0],[0,171,181,1,0],[0,183,193,1,0],[1,187,197,1,0],[0,193,203,1,0],[1,199,209,1,0],[0,203,213,1,0],[1,211,221,1,0],[0,213,223,1,0],[1,224,233,1,0],[0,225,235,1,0],[1,235,244,1,0],[0,235,245,1,0],[1,244,254,1,0],[0,245,255,1,0],[1,254,264,1,0],[0,259,269,1,0],[1,266,276,1,0],[0,271,281,1,0],[1,277,287,1,0],[0,283,287,1,0],[0,289,299,1,0],[1,296,306,1,0],[0,299,309,1,0],[0,310,320,1,0],[1,312,322,1,0],[0,320,330,1,0],[1,328,337,1,0],[1,337,346,1,0],[0,338,344,1,0],[0,345,355,1,0],[1,351,360,1,0],[0,355,357,1,0],[1,363,372,1,0],[1,375,385,1,0],[1,385,394,1,0],[1,394,404,1,0],[1,413,422,1,0],[1,425,434,1,0],[1,437,444,1,0],[1,444,454,1,0],[1,454,463,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,24,1,0],[0,26,36,1,0],[0,36,46,1,0],[0,46,56,1,0],[0,56,66,1,0],[0,66,72,1,0],[0,73,83,1,0],[0,83,87,1,0],[0,87,97,1,0],[1,91,101,1,0],[0,97,107,1,0],[1,101,111,1,0],[0,107,117,1,0],[1,111,121,1,0],[0,117,127,1,0],[1,121,131,1,0],[0,127,137,1,0],[1,132,142,1,0],[0,137,147,1,0],[0,147,157,1,0],[1,152,162,1,0],[0,157,167,1,0],[1,166,175,1,0],[0,172,182,1,0],[1,179,189,1,0],[0,183,193,1,0],[1,190,200,1,0],[0,194,204,1,0],[1,200,210,1,0],[0,204,214,1,0],[1,212,222,1,0],[0,214,224,1,0],[1,222,231,1,0],[0,226,236,1,0],[1,231,241,1,0],[0,238,248,1,0],[1,241,251,1,0],[1,251,260,1,0],[0,252,262,1,0],[1,260,269,1,0],[0,264,274,1,0],[1,272,282,1,0],[0,274,282,1,0],[1,283,293,1,0],[0,285,295,1,0],[1,296,306,1,0],[0,297,307,1,0],[0,307,317,1,0],[1,312,322,1,0],[0,317,327,1,0],[1,325,335,1,0],[1,339,348,1,0],[0,340,350,1,0],[1,348,356,1,0],[0,350,360,1,0],[1,362,371,1,0],[1,371,380,1,0],[1,380,386,1,0],[1,390,400,1,0],[1,400,410,1,0],[1,416,425,1,0],[1,426,436,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,73,83,1,0],[0,89,99,1,0],[1,91,101,1,0],[0,99,109,1,0],[0,109,119,1,0],[1,114,124,1,0],[0,119,129,1,0],[1,126,135,1,0],[0,129,139,1,0],[1,135,144,1,0],[0,139,149,1,0],[1,146,156,1,0],[0,150,160,1,0],[1,157,167,1,0],[0,163,173,1,0],[1,168,178,1,0],[0,179,189,1,0],[1,182,192,1,0],[0,189,199,1,0],[1,194,203,1,0],[0,200,210,1,0],[1,204,213,1,0],[0,211,221,1,0],[1,216,225,1,0],[0,221,231,1,0],[1,227,236,1,0],[0,235,245,1,0],[1,239,249,1,0],[0,245,255,1,0],[1,250,259,1,0],[0,257,267,1,0],[1,259,268,1,0],[0,267,277,1,0],[1,273,283,1,0],[0,278,288,1,0],[1,285,295,1,0],[0,290,300,1,0],[1,300,310,1,0],[0,304,314,1,0],[1,314,324,1,0],[0,317,327,1,0],[1,333,343,1,0],[0,337,347,1,0],[1,343,353,1,0],[0,349,359,1,0],[1,356,365,1,0],[1,367,377,1,0],[1,378,388,1,0],[0,380,390,1,0],[1,392,402,1,0],[1,413,422,1,0],[1,424,426,1,0],[1,429,435,1,0],[1,435,445,1,0],[1,445,454,1,0],[1,456,465,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,33,43,1,0],[0,43,53,1,0],[0,53,63,1,0],[0,63,73,1,0],[0,73,83,1,0],[0,83,93,1,0],[1,91,101,1,0],[0,93,103,1,0],[0,103,113,1,0],[1,114,122,1,0],[0,115,125,1,0],[1,122,131,1,0],[0,125,135,1,0],[1,131,140,1,0],[0,135,145,1,0],[1,140,149,1,0],[0,145,155,1,0],[1,149,158,1,0],[0,155,165,1,0],[1,162,171,1,0],[0,166,176,1,0],[1,171,180,1,0],[0,177,187,1,0],[1,180,189,1,0],[0,188,198,1,0],[1,190,200,1,0],[0,198,208,1,0],[1,200,209,1,0],[1,209,218,1,0],[0,210,220,1,0],[1,220,230,1,0],[0,221,231,1,0],[1,231,240,1,0],[0,232,242,1,0],[1,243,252,1,0],[0,243,253,1,0],[1,255,264,1,0],[0,258,268,1,0],[1,266,276,1,0],[0,268,278,1,0],[1,277,286,1,0],[0,282,292,1,0],[1,286,296,1,0],[0,292,302,1,0],[1,298,307,1,0],[0,304,314,1,0],[1,307,317,1,0],[1,320,330,1,0],[1,330,340,1,0],[0,334,344,1,0],[1,344,353,1,0],[0,347,357,1,0],[1,353,363,1,0],[1,366,369,1,0],[1,369,379,1,0],[0,370,380,1,0],[1,389,399,1,0],[1,399,409,1,0],[1,413,423,1,0],[1,430,440,1,0]],[[0,4,13,1,0],[0,36,45,1,0],[0,50,59,1,0],[0,60,69,1,0],[0,70,79,1,0],[0,81,90,1,0],[1,91,101,1,0],[0,94,103,1,0],[0,103,112,1,0],[0,112,121,1,0],[1,113,123,1,0],[0,122,131,1,0],[0,134,143,1,0],[1,139,149,1,0],[0,143,152,1,0],[0,152,161,1,0],[1,158,168,1,0],[0,163,172,1,0],[1,170,180,1,0],[0,175,184,1,0],[1,180,190,1,0],[0,184,193,1,0],[1,195,205,1,0],[0,195,204,1,0],[0,204,213,1,0],[1,207,217,1,0],[0,213,222,1,0],[1,218,228,1,0],[0,222,231,1,0],[1,229,239,1,0],[0,231,240,1,0],[1,240,250,1,0],[0,247,256,1,0],[1,251,255,1,0],[1,257,267,1,0],[0,258,267,1,0],[0,267,276,1,0],[1,270,280,1,0],[0,278,287,1,0],[1,283,293,1,0],[0,292,301,1,0],[1,296,306,1,0],[0,301,310,1,0],[1,307,317,1,0],[0,310,319,1,0],[0,319,328,1,0],[1,323,325,1,0],[1,325,335,1,0],[0,328,337,1,0],[1,335,345,1,0],[1,350,360,1,0],[0,352,361,1,0],[1,360,370,1,0],[0,365,374,1,0],[1,370,380,1,0],[1,385,395,1,0],[1,395,405,1,0],[1,407,417,1,0],[1,417,427,1,0],[1,427,437,1,0],[1,438,448,1,0],[1,448,458,1,0]],[[0,4,13,1,0],[0,23,32,1,0],[0,37,46,1,0],[0,51,60,1,0],[0,62,71,1,0],[0,74,83,1,0],[0,84,93,1,0],[1,91,101,1,0],[0,93,102,1,0],[0,103,112,1,0],[1,107,117,1,0],[0,118,127,1,0],[1,120,130,1,0],[0,127,136,1,0],[1,130,140,1,0],[0,137,146,1,0],[1,146,155,1,0],[0,148,157,1,0],[1,158,168,1,0],[0,159,168,1,0],[1,168,178,1,0],[0,169,178,1,0],[1,178,188,1,0],[0,180,189,1,0],[1,188,198,1,0],[0,192,201,1,0],[1,198,207,1,0],[0,201,210,1,0],[1,207,216,1,0],[0,210,219,1,0],[1,216,226,1,0],[0,219,228,1,0],[1,226,236,1,0],[0,232,241,1,0],[1,236,246,1,0],[0,244,253,1,0],[1,246,256,1,0],[0,254,263,1,0],[1,256,266,1,0],[0,263,272,1,0],[1,269,274,1,0],[1,274,284,1,0],[0,277,286,1,0],[1,284,294,1,0],[0,290,299,1,0],[1,295,305,1,0],[0,302,311,1,0],[1,305,315,1,0],[0,312,321,1,0],[1,319,329,1,0],[0,321,330,1,0],[1,329,339,1,0],[0,331,340,1,0],[1,341,351,1,0],[0,345,354,1,0],[1,355,359,1,0],[0,357,366,1,0],[1,359,369,1,0],[1,369,379,1,0],[1,379,389,1,0],[1,391,401,1,0],[1,404,414,1,0]],[[0,0,9,1,0],[0,9,18,1,0],[0,57,66,1,0],[0,66,75,1,0],[0,79,88,1,0],[0,88,97,1,0],[1,92,101,1,0],[0,98,107,1,0],[0,109,118,1,0],[1,115,125,1,0],[0,118,127,1,0],[1,125,134,1,0],[0,127,136,1,0],[1,134,143,1,0],[0,139,148,1,0],[1,145,154,1,0],[0,148,157,1,0],[1,158,167,1,0],[0,162,171,1,0],[1,167,177,1,0],[0,171,180,1,0],[1,177,186,1,0],[0,180,189,1,0],[1,186,195,1,0],[0,189,198,1,0],[1,196,205,1,0],[0,198,207,1,0],[1,205,214,1,0],[0,209,218,1,0],[1,219,228,1,0],[0,220,229,1,0],[1,231,232,1,0],[1,234,243,1,0],[0,235,244,1,0],[1,244,254,1,0],[0,245,254,1,0],[1,255,263,1,0],[0,257,266,1,0],[1,264,274,1,0],[0,267,276,1,0],[1,274,284,1,0],[0,276,285,1,0],[1,284,294,1,0],[0,287,296,1,0],[1,297,306,1,0],[0,300,309,1,0],[1,306,315,1,0],[0,310,319,1,0],[1,317,327,1,0],[0,319,328,1,0],[0,329,338,1,0],[1,337,346,1,0],[0,339,348,1,0],[1,346,355,1,0],[1,359,368,1,0],[0,365,374,1,0],[1,372,381,1,0],[0,374,383,1,0],[1,383,392,1,0],[1,396,405,1,0],[1,405,414,1,0],[1,414,423,1,0],[1,428,437,1,0],[1,444,453,1,0]],[[0,2,11,1,0],[0,32,41,1,0],[0,43,52,1,0],[0,53,62,1,0],[0,64,73,1,0],[0,75,84,1,0],[0,84,93,1,0],[1,91,100,1,0],[0,93,102,1,0],[0,104,113,1,0],[0,114,123,1,0],[1,119,129,1,0],[0,124,133,1,0],[0,135,144,1,0],[1,137,147,1,0],[1,148,158,1,0],[0,149,158,1,0],[1,159,168,1,0],[0,160,169,1,0],[1,170,180,1,0],[0,171,180,1,0],[0,180,189,1,0],[0,191,200,1,0],[1,193,203,1,0],[0,200,209,1,0],[1,203,209,1,0],[1,209,218,1,0],[0,210,219,1,0],[1,218,227,1,0],[0,221,230,1,0],[1,227,236,1,0],[0,232,241,1,0],[1,236,245,1,0],[1,245,254,1,0],[0,248,257,1,0],[1,256,266,1,0],[0,257,266,1,0],[1,266,275,1,0],[0,267,276,1,0],[1,275,285,1,0],[0,276,285,1,0],[1,289,299,1,0],[0,291,300,1,0],[1,299,308,1,0],[0,300,309,1,0],[1,308,317,1,0],[0,313,322,1,0],[1,318,328,1,0],[0,323,332,1,0],[1,328,337,1,0],[0,333,342,1,0],[1,337,346,1,0],[1,349,359,1,0],[1,359,368,1,0],[0,362,371,1,0],[1,368,377,1,0],[1,378,387,1,0],[0,382,391,1,0],[1,387,396,1,0],[1,401,410,1,0],[1,412,421,1,0],[1,426,435,1,0],[1,435,444,1,0]],[[0,1,10,1,0],[0,48,57,1,0],[0,60,69,1,0],[0,71,80,1,0],[0,81,90,1,0],[1,93,102,1,0],[0,94,103,1,0],[1,104,114,1,0],[0,105,114,1,0],[1,114,123,1,0],[0,115,124,1,0],[1,123,132,1,0],[0,124,133,1,0],[0,133,142,1,0],[1,137,146,1,0],[0,144,153,1,0],[1,146,156,1,0],[0,153,162,1,0],[1,160,170,1,0],[0,164,173,1,0],[1,170,179,1,0],[0,174,183,1,0],[1,179,189,1,0],[0,183,192,1,0],[1,189,199,1,0],[0,195,204,1,0],[1,200,208,1,0],[0,206,215,1,0],[1,208,217,1,0],[0,215,224,1,0],[1,219,227,1,0],[0,225,234,1,0],[1,227,236,1,0],[0,235,244,1,0],[0,245,254,1,0],[1,247,256,1,0],[0,254,263,1,0],[1,257,266,1,0],[0,265,274,1,0],[1,266,275,1,0],[1,280,289,1,0],[0,281,290,1,0],[1,289,298,1,0],[0,290,299,1,0],[1,298,307,1,0],[0,300,309,1,0],[1,308,317,1,0],[0,309,318,1,0],[0,318,327,1,0],[1,320,329,1,0],[1,330,339,1,0],[0,331,340,1,0],[1,339,349,1,0],[0,342,351,1,0],[1,349,359,1,0],[0,351,360,1,0],[1,359,368,1,0],[1,368,377,1,0],[1,379,388,1,0],[1,388,398,1,0],[0,390,399,1,0],[1,401,411,1,0],[1,411,420,1,0]],[[0,12,21,1,0],[0,41,50,1,0],[0,53,62,1,0],[0,63,72,1,0],[0,72,81,1,0],[0,82,91,1,0],[1,91,101,1,0],[0,94,103,1,0],[0,105,114,1,0],[1,110,120,1,0],[1,120,129,1,0],[0,121,130,1,0],[1,129,138,1,0],[0,132,141,1,0],[1,138,147,1,0],[0,141,150,1,0],[1,147,156,1,0],[0,150,159,1,0],[1,158,167,1,0],[0,160,169,1,0],[1,167,176,1,0],[0,170,179,1,0],[1,183,192,1,0],[0,184,193,1,0],[1,192,201,1,0],[0,193,202,1,0],[1,201,210,1,0],[0,202,211,1,0],[1,210,219,1,0],[0,211,220,1,0],[1,220,229,1,0],[0,225,234,1,0],[1,229,238,1,0],[0,234,243,1,0],[1,238,247,1,0],[0,246,255,1,0],[1,253,262,1,0],[0,255,264,1,0],[1,262,271,1,0],[0,264,273,1,0],[1,272,281,1,0],[0,275,284,1,0],[1,281,290,1,0],[1,290,300,1,0],[0,291,300,1,0],[0,301,310,1,0],[1,303,312,1,0],[1,312,321,1,0],[0,313,322,1,0],[1,322,332,1,0],[0,326,335,1,0],[1,332,342,1,0],[1,342,351,1,0],[0,343,352,1,0],[1,351,360,1,0],[0,352,361,1,0],[0,361,370,1,0],[1,367,377,1,0],[0,370,379,1,0],[1,379,388,1,0],[1,388,397,1,0],[1,406,415,1,0],[1,430,440,1,0]],[[0,0,9,1,0],[0,9,18,1,0],[0,59,68,1,0],[0,70,79,1,0],[0,83,92,1,0],[1,92,102,1,0],[0,98,107,1,0],[1,105,115,1,0],[0,108,117,1,0],[1,115,125,1,0],[0,117,118,1,0],[0,118,126,1,0],[0,126,135,1,0],[1,130,140,1,0],[0,136,145,1,0],[1,146,155,1,0],[0,150,159,1,0],[1,156,166,1,0],[0,159,168,1,0],[1,169,179,1,0],[0,171,180,1,0],[1,180,190,1,0],[0,181,190,1,0],[1,190,200,1,0],[0,191,200,1,0],[1,200,210,1,0],[0,201,210,1,0],[1,211,221,1,0],[0,212,216,1,0],[0,216,225,1,0],[1,221,231,1,0],[0,225,234,1,0],[0,236,245,1,0],[1,238,247,1,0],[0,245,254,1,0],[1,253,263,1,0],[0,255,264,1,0],[0,265,274,1,0],[1,273,279,1,0],[0,274,283,1,0],[1,279,289,1,0],[1,290,300,1,0],[0,290,299,1,0],[1,300,310,1,0],[0,301,310,1,0],[0,310,319,1,0],[1,312,322,1,0],[0,319,328,1,0],[1,330,332,1,0],[1,337,347,1,0],[0,338,347,1,0],[1,350,360,1,0],[0,351,360,1,0],[0,360,369,1,0],[1,363,373,1,0],[1,375,385,1,0],[0,377,386,1,0],[1,385,395,1,0],[1,396,406,1,0],[1,406,416,1,0],[0,410,415,1,0],[1,416,426,1,0],[1,426,436,1,0],[1,437,447,1,0]],[[0,20,29,1,0],[0,29,38,1,0],[0,50,59,1,0],[0,59,68,1,0],[0,68,77,1,0],[0,81,90,1,0],[1,91,101,1,0],[0,92,101,1,0],[0,102,111,1,0],[0,112,113,1,0],[0,115,124,1,0],[1,116,126,1,0],[0,125,134,1,0],[1,137,147,1,0],[0,138,147,1,0],[1,147,157,1,0],[0,148,157,1,0],[1,157,167,1,0],[0,160,169,1,0],[1,167,177,1,0],[0,169,174,1,0],[0,174,183,1,0],[1,177,187,1,0],[0,183,192,1,0],[1,188,198,1,0],[0,194,203,1,0],[1,200,210,1,0],[1,210,220,1,0],[0,211,220,1,0],[1,220,230,1,0],[0,221,230,1,0],[1,231,241,1,0],[0,232,241,1,0],[1,242,252,1,0],[0,243,251,1,0],[1,253,263,1,0],[0,254,263,1,0],[0,263,267,1,0],[1,266,276,1,0],[0,267,276,1,0],[1,276,286,1,0],[0,277,286,1,0],[0,286,295,1,0],[1,293,303,1,0],[0,298,307,1,0],[1,305,315,1,0],[0,307,316,1,0],[1,315,325,1,0],[0,318,327,1,0],[1,325,335,1,0],[0,334,343,1,0],[1,336,346,1,0],[0,343,352,1,0],[1,346,356,1,0],[0,352,361,1,0],[1,356,366,1,0],[1,369,379,1,0],[1,382,392,1,0],[1,396,406,1,0],[1,410,416,1,0],[0,414,423,1,0],[1,416,426,1,0],[1,426,436,1,0]],[[0,2,11,1,0],[0,54,63,1,0],[0,70,79,1,0],[0,79,88,1,0],[0,89,98,1,0],[1,91,101,1,0],[0,101,110,1,0],[1,109,119,1,0],[0,113,122,1,0],[0,122,131,1,0],[1,123,133,1,0],[0,131,140,1,0],[1,133,143,1,0],[0,140,149,1,0],[1,143,152,1,0],[1,152,162,1,0],[0,153,162,1,0],[1,162,172,1,0],[0,163,172,1,0],[1,174,184,1,0],[0,174,183,1,0],[0,183,192,1,0],[1,185,195,1,0],[0,193,202,1,0],[1,198,208,1,0],[0,206,215,1,0],[1,210,220,1,0],[0,215,224,1,0],[1,223,233,1,0],[0,224,233,1,0],[1,233,242,1,0],[0,234,243,1,0],[1,242,251,1,0],[0,243,252,1,0],[1,252,262,1,0],[0,257,266,1,0],[1,266,275,1,0],[0,267,276,1,0],[1,278,288,1,0],[0,279,288,1,0],[0,288,297,1,0],[1,290,300,1,0],[0,297,306,1,0],[1,300,310,1,0],[0,306,315,1,0],[1,310,319,1,0],[1,323,332,1,0],[0,324,333,1,0],[1,335,344,1,0],[0,336,345,1,0],[1,344,353,1,0],[0,345,354,1,0],[1,356,365,1,0],[0,358,367,1,0],[1,365,374,1,0],[0,371,380,1,0],[1,376,385,1,0],[1,386,395,1,0],[1,395,399,1,0],[0,398,407,1,0],[1,402,411,1,0],[1,422,428,1,0],[1,428,437,1,0]],[[0,2,11,1,0],[0,48,57,1,0],[0,61,70,1,0],[0,70,79,1,0],[0,83,92,1,0],[1,91,101,1,0],[0,92,101,1,0],[0,101,110,1,0],[0,111,120,1,0],[1,117,127,1,0],[0,126,135,1,0],[1,135,145,1,0],[0,139,148,1,0],[0,148,157,1,0],[0,157,166,1,0],[1,159,168,1,0],[0,168,177,1,0],[1,175,184,1,0],[0,177,186,1,0],[1,188,198,1,0],[0,190,199,1,0],[1,199,209,1,0],[0,200,209,1,0],[0,209,218,1,0],[1,212,222,1,0],[0,220,229,1,0],[1,226,236,1,0],[0,229,238,1,0],[0,238,247,1,0],[1,242,252,1,0],[1,253,263,1,0],[0,254,263,1,0],[0,266,275,1,0],[1,270,279,1,0],[0,275,284,1,0],[0,284,293,1,0],[1,287,297,1,0],[0,295,304,1,0],[1,305,315,1,0],[0,306,315,1,0],[0,316,325,1,0],[1,318,327,1,0],[0,326,335,1,0],[1,330,340,1,0],[0,336,345,1,0],[1,340,349,1,0],[0,348,357,1,0],[1,350,359,1,0],[1,359,369,1,0],[0,368,377,1,0],[1,371,380,1,0],[0,377,386,1,0],[1,381,390,1,0],[1,390,399,1,0],[1,403,412,1,0],[1,412,422,1,0],[1,423,433,1,0],[1,435,445,1,0],[1,447,457,1,0],[1,460,470,1,0],[1,472,481,1,0],[1,482,486,1,0],[1,486,489,1,0]],[[0,14,23,1,0],[0,63,72,1,0],[0,76,85,1,0],[0,85,94,1,0],[1,91,101,1,0],[0,97,106,1,0],[0,106,115,1,0],[1,115,125,1,0],[0,116,125,1,0],[1,125,134,1,0],[0,126,135,1,0],[1,134,144,1,0],[0,141,150,1,0],[1,147,156,1,0],[0,150,159,1,0],[1,159,168,1,0],[0,159,168,1,0],[1,168,177,1,0],[0,172,181,1,0],[1,177,186,1,0],[0,181,190,1,0],[1,189,199,1,0],[0,190,198,1,0],[1,199,208,1,0],[0,200,209,1,0],[0,209,218,1,0],[1,211,220,1,0],[0,218,227,1,0],[1,224,233,1,0],[0,227,236,1,0],[1,234,244,1,0],[0,236,245,1,0],[1,244,253,1,0],[0,252,261,1,0],[1,254,264,1,0],[0,261,270,1,0],[0,270,279,1,0],[1,273,278,1,0],[0,279,288,1,0],[1,284,294,1,0],[0,290,295,1,0],[1,295,305,1,0],[0,296,305,1,0],[0,305,314,1,0],[1,306,316,1,0],[0,317,326,1,0],[1,319,329,1,0],[1,329,339,1,0],[0,331,340,1,0],[1,340,350,1,0],[0,341,345,1,0],[0,347,356,1,0],[1,356,366,1,0],[0,359,368,1,0],[1,372,382,1,0],[0,382,391,1,0],[1,384,394,1,0],[1,399,409,1,0],[0,405,406,1,0],[0,406,415,1,0],[1,409,419,1,0],[1,419,429,1,0],[1,429,439,1,0],[1,441,451,1,0]],[[0,7,16,1,0],[0,28,37,1,0],[0,44,53,1,0],[0,53,62,1,0],[0,68,77,1,0],[0,77,86,1,0],[0,86,95,1,0],[1,91,100,1,0],[0,100,109,1,0],[1,107,117,1,0],[0,109,118,1,0],[0,123,132,1,0],[1,127,137,1,0],[0,133,142,1,0],[1,137,146,1,0],[0,142,151,1,0],[1,148,157,1,0],[1,157,166,1,0],[0,158,167,1,0],[0,167,176,1,0],[1,169,178,1,0],[1,178,187,1,0],[0,179,188,1,0],[1,187,196,1,0],[0,188,197,1,0],[1,196,206,1,0],[0,198,207,1,0],[1,206,216,1,0],[0,208,217,1,0],[1,216,226,1,0],[0,218,223,1,0],[0,223,231,1,0],[1,226,236,1,0],[0,232,241,1,0],[1,236,246,1,0],[1,246,256,1,0],[0,247,256,1,0],[1,256,266,1,0],[0,257,266,1,0],[0,266,267,1,0],[0,268,277,1,0],[1,273,282,1,0],[0,277,286,1,0],[1,285,294,1,0],[0,292,296,1,0],[1,295,301,1,0],[0,299,308,1,0],[1,306,315,1,0],[0,313,322,1,0],[1,315,325,1,0],[1,325,334,1,0],[0,326,335,1,0],[0,335,344,1,0],[1,339,349,1,0],[0,348,357,1,0],[1,352,361,1,0],[1,363,373,1,0],[0,372,381,1,0],[1,374,384,1,0],[1,388,398,1,0],[1,402,412,1,0],[1,418,428,1,0],[0,424,433,1,0],[1,430,440,1,0],[1,440,442,1,0]],[[0,0,9,1,0],[0,55,64,1,0],[0,68,77,1,0],[0,79,88,1,0],[0,90,99,1,0],[1,92,102,1,0],[0,100,109,1,0],[1,109,119,1,0],[0,110,119,1,0],[1,119,129,1,0],[0,120,129,1,0],[1,129,139,1,0],[0,132,141,1,0],[1,139,149,1,0],[0,141,150,1,0],[1,150,160,1,0],[0,151,160,1,0],[0,160,169,1,0],[1,163,173,1,0],[0,173,182,1,0],[1,175,185,1,0],[0,183,192,1,0],[1,185,195,1,0],[0,192,201,1,0],[1,199,205,1,0],[0,201,210,1,0],[1,205,215,1,0],[0,210,219,1,0],[1,215,225,1,0],[0,220,229,1,0],[1,228,238,1,0],[0,232,241,1,0],[0,241,250,1,0],[1,243,253,1,0],[0,250,259,1,0],[1,256,266,1,0],[0,262,271,1,0],[1,267,277,1,0],[0,271,280,1,0],[1,278,288,1,0],[0,281,290,1,0],[1,293,303,1,0],[0,294,303,1,0],[0,303,312,1,0],[1,305,315,1,0],[0,314,323,1,0],[1,318,328,1,0],[0,323,332,1,0],[1,333,343,1,0],[0,334,343,1,0],[1,344,354,1,0],[1,354,364,1,0],[0,364,373,1,0],[1,367,377,1,0],[0,375,384,1,0],[1,377,387,1,0],[1,389,399,1,0],[0,395,404,1,0],[1,400,410,1,0],[1,416,426,1,0],[1,438,448,1,0]],[[0,0,9,1,0],[0,44,53,1,0],[0,61,70,1,0],[0,70,79,1,0],[0,80,89,1,0],[1,92,102,1,0],[0,93,102,1,0],[1,102,112,1,0],[0,106,115,1,0],[1,118,128,1,0],[0,121,130,1,0],[1,130,140,1,0],[0,131,140,1,0],[1,143,153,1,0],[0,144,153,1,0],[0,153,162,1,0],[1,159,169,1,0],[0,162,171,1,0],[1,169,179,1,0],[0,171,180,1,0],[1,180,190,1,0],[0,182,191,1,0],[0,191,200,1,0],[1,200,210,1,0],[0,200,209,1,0],[0,209,218,1,0],[1,216,226,1,0],[0,221,230,1,0],[1,229,239,1,0],[0,230,239,1,0],[1,239,249,1,0],[0,240,249,1,0],[1,249,259,1,0],[0,250,259,1,0],[1,259,269,1,0],[0,259,268,1,0],[1,269,279,1,0],[0,271,280,1,0],[1,279,289,1,0],[0,281,290,1,0],[1,293,301,1,0],[0,295,304,1,0],[1,304,314,1,0],[0,305,314,1,0],[0,314,323,1,0],[1,319,329,1,0],[0,326,335,1,0],[1,332,342,1,0],[0,343,352,1,0],[1,346,356,1,0],[1,356,366,1,0],[0,357,366,1,0],[0,366,375,1,0],[1,369,379,1,0],[1,384,392,1,0],[0,388,397,1,0],[1,392,402,1,0],[1,409,419,1,0],[1,419,429,1,0],[1,429,439,1,0],[1,439,449,1,0]],[[0,27,36,1,0],[0,63,72,1,0],[0,77,86,1,0],[0,86,95,1,0],[1,91,100,1,0],[0,97,106,1,0],[0,107,116,1,0],[1,119,129,1,0],[0,120,129,1,0],[1,129,138,1,0],[0,131,140,1,0],[1,138,147,1,0],[0,140,149,1,0],[1,149,158,1,0],[0,150,159,1,0],[1,162,172,1,0],[0,163,172,1,0],[1,173,182,1,0],[0,174,183,1,0],[1,182,191,1,0],[0,183,192,1,0],[1,191,200,1,0],[0,192,201,1,0],[1,200,209,1,0],[0,201,210,1,0],[0,211,220,1,0],[1,218,228,1,0],[0,220,229,1,0],[1,228,237,1,0],[0,233,242,1,0],[1,237,246,1,0],[0,242,251,1,0],[1,248,257,1,0],[0,253,262,1,0],[1,262,271,1,0],[0,270,279,1,0],[1,276,285,1,0],[0,279,287,1,0],[1,285,289,1,0],[1,289,298,1,0],[0,290,299,1,0],[0,299,308,1,0],[1,303,313,1,0],[0,308,312,1,0],[0,312,321,1,0],[0,321,330,1,0],[1,325,335,1,0],[0,330,339,1,0],[1,336,345,1,0],[0,339,348,1,0],[0,351,352,1,0],[1,353,363,1,0],[0,354,363,1,0],[1,363,372,1,0],[0,365,370,1,0],[1,375,384,1,0],[0,376,385,1,0],[0,385,394,1,0],[1,387,396,1,0],[1,400,409,1,0],[1,409,418,1,0],[1,418,427,1,0],[1,428,437,1,0],[1,437,446,1,0],[1,449,458,1,0],[1,459,465,1,0]],[[0,4,13,1,0],[0,32,41,1,0],[0,43,52,1,0],[0,52,61,1,0],[0,64,73,1,0],[0,75,84,1,0],[0,85,94,1,0],[1,91,100,1,0],[0,95,104,1,0],[0,104,113,1,0],[1,110,112,1,0],[0,120,129,1,0],[0,135,144,1,0],[1,139,149,1,0],[0,146,155,1,0],[1,149,158,1,0],[0,157,166,1,0],[1,167,177,1,0],[0,168,177,1,0],[0,179,188,1,0],[1,189,199,1,0],[0,190,199,1,0],[1,200,209,1,0],[0,201,210,1,0],[0,210,219,1,0],[1,215,224,1,0],[0,219,228,1,0],[1,229,238,1,0],[0,233,238,1,0],[0,238,247,1,0],[1,240,249,1,0],[0,247,248,1,0],[0,249,258,1,0],[1,254,264,1,0],[0,261,270,1,0],[1,265,275,1,0],[0,272,281,1,0],[1,276,285,1,0],[1,285,294,1,0],[0,286,295,1,0],[0,295,304,1,0],[1,296,305,1,0],[0,304,313,1,0],[1,313,322,1,0],[0,314,323,1,0],[1,322,331,1,0],[0,323,331,1,0],[0,333,342,1,0],[1,336,345,1,0],[0,342,351,1,0],[1,349,359,1,0],[0,356,360,1,0],[1,359,365,1,0],[1,365,374,1,0],[1,378,387,1,0],[1,387,396,1,0],[1,397,406,1,0],[1,410,419,1,0],[1,419,428,1,0],[0,423,432,1,0],[1,428,437,1,0],[1,440,450,1,0],[1,450,459,1,0],[1,459,469,1,0],[1,471,480,1,0],[1,481,490,1,0]],[[0,3,12,1,0],[0,55,64,1,0],[0,69,78,1,0],[0,78,87,1,0],[0,87,96,1,0],[1,91,101,1,0],[0,97,106,1,0],[0,107,116,1,0],[1,112,122,1,0],[0,116,125,1,0],[0,128,137,1,0],[1,137,147,1,0],[0,138,147,1,0],[0,149,158,1,0],[1,152,161,1,0],[0,158,167,1,0],[1,161,170,1,0],[0,169,178,1,0],[1,170,179,1,0],[0,179,188,1,0],[1,182,191,1,0],[0,189,198,1,0],[1,192,201,1,0],[0,199,208,1,0],[1,201,210,1,0],[0,208,217,1,0],[1,213,223,1,0],[0,217,226,1,0],[1,223,232,1,0],[0,229,238,1,0],[1,233,242,1,0],[0,242,251,1,0],[1,246,256,1,0],[0,252,261,1,0],[1,256,265,1,0],[0,262,271,1,0],[1,265,274,1,0],[0,271,280,1,0],[1,275,284,1,0],[0,280,289,1,0],[1,286,296,1,0],[0,289,298,1,0],[1,296,306,1,0],[0,303,312,1,0],[0,313,322,1,0],[1,315,324,1,0],[1,325,334,1,0],[0,329,338,1,0],[1,336,345,1,0],[0,342,351,1,0],[1,351,360,1,0],[0,360,369,1,0],[1,364,373,1,0],[0,369,378,1,0],[1,373,383,1,0],[1,386,396,1,0],[0,393,402,1,0],[1,396,406,1,0],[1,411,421,1,0],[1,434,443,1,0],[1,443,452,1,0],[1,461,471,1,0],[1,473,475,1,0],[1,475,477,1,0]],[[0,2,11,1,0],[0,50,59,1,0],[0,59,68,1,0],[0,68,77,1,0],[0,82,91,1,0],[1,91,100,1,0],[0,94,103,1,0],[1,100,110,1,0],[0,107,116,1,0],[1,110,119,1,0],[0,116,125,1,0],[0,125,134,1,0],[1,127,137,1,0],[0,134,143,1,0],[1,137,146,1,0],[1,146,156,1,0],[0,147,156,1,0],[1,157,166,1,0],[0,158,167,1,0],[0,170,179,1,0],[1,174,183,1,0],[0,179,188,1,0],[1,186,195,1,0],[0,188,197,1,0],[1,195,204,1,0],[0,199,208,1,0],[1,204,213,1,0],[0,208,217,1,0],[1,214,223,1,0],[0,218,227,1,0],[0,227,236,1,0],[1,232,241,1,0],[1,241,250,1,0],[0,242,251,1,0],[0,251,260,1,0],[1,254,263,1,0],[1,263,273,1,0],[0,264,273,1,0],[1,273,283,1,0],[0,274,283,1,0],[0,283,292,1,0],[1,285,294,1,0],[0,292,301,1,0],[1,294,304,1,0],[0,301,310,1,0],[1,304,314,1,0],[1,319,328,1,0],[0,321,330,1,0],[1,330,340,1,0],[0,331,340,1,0],[1,340,350,1,0],[0,342,351,1,0],[0,351,360,1,0],[1,353,356,1,0],[1,357,366,1,0],[0,360,369,1,0],[1,366,375,1,0],[1,376,385,1,0],[1,385,394,1,0],[0,386,395,1,0],[1,394,403,1,0],[1,404,413,1,0],[1,414,418,1,0],[1,418,427,1,0]],[[0,12,21,1,0],[0,64,73,1,0],[0,76,85,1,0],[0,85,94,1,0],[1,91,101,1,0],[0,94,103,1,0],[1,101,111,1,0],[0,106,115,1,0],[0,115,124,1,0],[1,120,130,1,0],[0,124,133,1,0],[0,133,142,1,0],[1,141,151,1,0],[0,144,153,1,0],[1,151,161,1,0],[0,158,167,1,0],[1,163,172,1,0],[0,167,176,1,0],[1,173,183,1,0],[0,178,182,1,0],[1,183,193,1,0],[0,186,195,1,0],[0,195,204,1,0],[1,203,213,1,0],[0,204,213,1,0],[0,213,222,1,0],[1,216,226,1,0],[0,223,232,1,0],[1,229,239,1,0],[0,232,241,1,0],[1,241,251,1,0],[0,243,252,1,0],[0,254,263,1,0],[1,263,273,1,0],[0,263,272,1,0],[1,273,283,1,0],[0,274,283,1,0],[0,283,291,1,0],[1,287,297,1,0],[0,291,300,1,0],[1,297,307,1,0],[0,305,314,1,0],[1,308,318,1,0],[0,314,323,1,0],[0,323,332,1,0],[1,325,335,1,0],[0,332,341,1,0],[1,337,347,1,0],[0,341,350,1,0],[1,347,357,1,0],[0,352,357,1,0],[1,358,368,1,0],[0,359,368,1,0],[1,368,377,1,0],[0,369,378,1,0],[0,378,379,1,0],[1,385,394,1,0],[1,399,408,1,0],[1,409,418,1,0],[1,421,424,1,0],[1,426,434,1,0],[1,444,454,1,0],[1,454,464,1,0],[1,464,474,1,0]],[[0,14,23,1,0],[0,33,42,1,0],[0,49,58,1,0],[0,59,68,1,0],[0,70,79,1,0],[0,79,88,1,0],[0,88,97,1,0],[1,92,102,1,0],[0,97,106,1,0],[1,103,113,1,0],[0,106,115,1,0],[0,120,129,1,0],[1,125,135,1,0],[0,129,138,1,0],[0,138,147,1,0],[1,145,155,1,0],[0,152,161,1,0],[1,155,165,1,0],[0,163,172,1,0],[1,171,181,1,0],[0,172,177,1,0],[0,180,189,1,0],[1,183,193,1,0],[0,189,198,1,0],[1,193,203,1,0],[0,198,207,1,0],[1,207,217,1,0],[0,209,218,1,0],[0,218,227,1,0],[1,227,237,1,0],[0,228,237,1,0],[1,238,248,1,0],[0,239,248,1,0],[1,248,258,1,0],[0,249,258,1,0],[1,258,260,1,0],[0,259,268,1,0],[1,264,274,1,0],[0,270,279,1,0],[1,274,284,1,0],[0,280,289,1,0],[1,286,296,1,0],[0,295,304,1,0],[1,297,307,1,0],[0,304,313,1,0],[1,307,317,1,0],[0,315,324,1,0],[1,324,334,1,0],[0,325,334,1,0],[1,337,347,1,0],[1,347,357,1,0],[0,352,353,1,0],[0,355,363,1,0],[1,359,369,1,0],[1,369,379,1,0],[1,381,391,1,0],[0,384,393,1,0],[1,404,414,1,0],[1,417,427,1,0],[1,438,448,1,0],[0,439,443,1,0],[1,450,459,1,0],[1,464,473,1,0],[1,476,482,1,0]],[[0,2,11,1,0],[0,12,21,1,0],[0,66,75,1,0],[0,75,84,1,0],[0,87,91,1,0],[1,91,101,1,0],[0,92,101,1,0],[0,101,110,1,0],[0,110,119,1,0],[0,119,127,1,0],[1,125,135,1,0],[0,127,136,1,0],[1,137,147,1,0],[0,138,147,1,0],[0,147,156,1,0],[1,150,159,1,0],[0,156,165,1,0],[1,159,169,1,0],[0,168,177,1,0],[0,177,186,1,0],[1,187,197,1,0],[0,188,197,1,0],[0,197,206,1,0],[1,199,208,1,0],[1,211,220,1,0],[0,212,221,1,0],[1,221,230,1,0],[0,222,231,1,0],[0,231,240,1,0],[0,240,249,1,0],[1,242,252,1,0],[0,251,260,1,0],[1,253,263,1,0],[1,264,273,1,0],[0,265,274,1,0],[1,274,283,1,0],[0,275,284,1,0],[1,283,292,1,0],[0,284,293,1,0],[1,295,304,1,0],[0,296,305,1,0],[1,305,314,1,0],[0,306,315,1,0],[0,315,324,1,0],[1,324,334,1,0],[0,328,329,1,0],[0,329,338,1,0],[1,334,343,1,0],[0,338,347,1,0],[1,343,352,1,0],[0,347,356,1,0],[1,360,369,1,0],[0,366,375,1,0],[1,369,378,1,0],[1,381,390,1,0],[1,398,408,1,0],[0,399,404,1,0],[1,411,421,1,0],[1,430,440,1,0],[1,440,449,1,0],[1,449,459,1,0],[1,459,461,1,0],[1,467,477,1,0],[1,477,486,1,0],[1,486,495,1,0],[1,495,496,1,0]],[[0,2,11,1,0],[0,12,21,1,0],[0,21,26,1,0],[0,55,64,1,0],[0,73,82,1,0],[0,82,91,1,0],[1,91,100,1,0],[0,92,101,1,0],[0,106,115,1,0],[0,117,126,1,0],[1,122,132,1,0],[0,126,127,1,0],[0,129,138,1,0],[1,132,141,1,0],[0,138,147,1,0],[0,147,156,1,0],[1,152,162,1,0],[0,156,165,1,0],[1,165,174,1,0],[0,166,175,1,0],[1,176,185,1,0],[0,177,185,1,0],[0,187,191,1,0],[1,193,202,1,0],[0,198,207,1,0],[1,202,211,1,0],[0,210,219,1,0],[1,221,230,1,0],[0,226,235,1,0],[1,230,240,1,0],[0,236,245,1,0],[1,242,252,1,0],[0,245,254,1,0],[1,255,265,1,0],[0,256,265,1,0],[0,269,278,1,0],[1,272,282,1,0],[0,278,287,1,0],[0,287,296,1,0],[1,290,299,1,0],[0,296,305,1,0],[1,302,312,1,0],[0,305,314,1,0],[1,312,322,1,0],[0,319,328,1,0],[1,328,338,1,0],[0,329,338,1,0],[0,339,348,1,0],[1,348,358,1,0],[0,350,359,1,0],[0,361,370,1,0],[1,363,373,1,0],[1,373,383,1,0],[0,375,384,1,0],[1,384,394,1,0],[1,398,408,1,0],[1,411,421,1,0],[1,428,437,1,0],[1,439,448,1,0],[1,450,460,1,0],[1,469,478,1,0],[1,478,487,1,0],[1,490,499,1,0],[1,499,508,1,0]],[[0,2,11,1,0],[0,63,72,1,0],[0,75,84,1,0],[0,84,93,1,0],[1,91,101,1,0],[0,93,102,1,0],[1,101,111,1,0],[0,102,111,1,0],[1,113,123,1,0],[0,114,123,1,0],[0,125,134,1,0],[0,134,143,1,0],[1,139,149,1,0],[0,143,152,1,0],[1,149,158,1,0],[0,153,162,1,0],[1,158,167,1,0],[0,162,171,1,0],[1,167,177,1,0],[0,177,186,1,0],[1,180,190,1,0],[0,186,195,1,0],[0,195,204,1,0],[1,197,207,1,0],[0,204,213,1,0],[1,208,217,1,0],[0,213,222,1,0],[1,217,226,1,0],[0,224,233,1,0],[1,226,236,1,0],[1,236,246,1,0],[0,236,245,1,0],[1,246,256,1,0],[0,247,256,1,0],[1,256,264,1,0],[0,259,268,1,0],[1,265,269,1,0],[1,269,279,1,0],[0,270,279,1,0],[0,279,288,1,0],[1,287,296,1,0],[0,288,297,1,0],[1,297,307,1,0],[0,298,307,1,0],[0,309,318,1,0],[1,310,320,1,0],[0,318,327,1,0],[1,322,332,1,0],[0,327,336,1,0],[1,332,342,1,0],[0,336,345,1,0],[1,342,352,1,0],[0,345,354,1,0],[1,353,362,1,0],[0,354,363,1,0],[0,363,372,1,0],[1,372,382,1,0],[1,384,394,1,0],[1,401,411,1,0],[1,411,421,1,0],[1,428,438,1,0],[1,455,465,1,0]],[[0,14,23,1,0],[0,34,43,1,0],[0,43,52,1,0],[0,52,61,1,0],[0,63,72,1,0],[0,75,84,1,0],[0,85,94,1,0],[1,91,100,1,0],[0,94,103,1,0],[1,100,110,1,0],[0,105,114,1,0],[1,113,123,1,0],[0,114,123,1,0],[1,126,135,1,0],[0,127,136,1,0],[1,135,145,1,0],[0,139,148,1,0],[1,155,164,1,0],[0,156,165,1,0],[1,164,174,1,0],[0,165,174,1,0],[0,174,183,1,0],[1,177,187,1,0],[0,183,192,1,0],[1,187,197,1,0],[0,192,201,1,0],[1,199,208,1,0],[0,201,210,1,0],[0,210,219,1,0],[1,214,223,1,0],[1,223,233,1,0],[0,224,233,1,0],[1,234,243,1,0],[0,235,244,1,0],[1,243,252,1,0],[0,246,255,1,0],[1,253,262,1,0],[0,255,264,1,0],[0,264,273,1,0],[1,266,276,1,0],[0,273,282,1,0],[1,276,285,1,0],[1,286,296,1,0],[0,288,297,1,0],[1,296,306,1,0],[0,297,306,1,0],[1,306,316,1,0],[0,306,315,1,0],[0,315,324,1,0],[1,323,332,1,0],[0,324,333,1,0],[1,334,344,1,0],[0,335,344,1,0],[1,347,357,1,0],[0,348,357,1,0],[1,357,367,1,0],[1,367,377,1,0],[1,384,390,1,0],[1,391,401,1,0],[1,411,421,1,0],[1,427,437,1,0],[1,440,450,1,0]],[[1,91,100,1,0],[1,100,109,1,0],[1,109,118,1,0],[1,118,127,1,0],[1,127,136,1,0],[1,145,154,1,0],[1,161,170,1,0],[1,170,179,1,0],[1,179,188,1,0],[1,192,195,1,0],[1,195,205,1,0],[1,205,215,1,0],[1,220,230,1,0],[1,230,240,1,0],[1,240,250,1,0],[1,250,260,1,0],[1,261,271,1,0],[1,271,281,1,0],[1,281,291,1,0],[1,292,302,1,0],[1,302,312,1,0],[1,312,322,1,0],[1,322,332,1,0],[1,332,342,1,0],[1,350,360,1,0],[1,361,371,1,0],[1,373,383,1,0],[1,384,394,1,0],[1,402,412,1,0],[1,414,424,1,0]],[[1,91,101,1,0],[1,101,111,1,0],[1,111,121,1,0],[1,123,132,1,0],[1,132,141,1,0],[1,141,150,1,0],[1,152,161,1,0],[1,161,171,1,0],[1,171,180,1,0],[1,181,190,1,0],[1,192,201,1,0],[1,202,211,1,0],[1,216,225,1,0],[1,225,234,1,0],[1,234,244,1,0],[1,244,253,1,0],[1,254,263,1,0],[1,263,272,1,0],[1,272,282,1,0],[1,282,292,1,0],[1,296,306,1,0],[1,306,316,1,0],[1,316,325,1,0],[1,325,335,1,0],[1,335,344,1,0],[1,344,349,1,0],[1,352,362,1,0],[1,364,374,1,0],[1,374,384,1,0],[1,384,394,1,0],[1,408,412,1,0]],[[1,91,101,1,0],[1,120,130,1,0],[1,130,140,1,0],[1,142,152,1,0],[1,152,162,1,0],[1,162,172,1,0],[1,172,182,1,0],[1,198,208,1,0],[1,210,220,1,0],[1,221,231,1,0],[1,233,243,1,0],[1,245,254,1,0],[1,254,263,1,0],[1,265,275,1,0],[1,275,285,1,0],[1,285,295,1,0],[1,299,306,1,0],[1,306,315,1,0],[1,315,324,1,0],[1,324,333,1,0],[1,333,342,1,0],[1,342,351,1,0],[1,351,361,1,0],[1,363,372,1,0],[1,372,381,1,0],[1,381,390,1,0],[1,390,399,1,0],[1,399,409,1,0],[1,412,421,1,0],[1,428,437,1,0]],[[1,91,101,1,0],[1,113,123,1,0],[1,124,134,1,0],[1,134,144,1,0],[1,146,156,1,0],[1,185,195,1,0],[1,198,208,1,0],[1,209,219,1,0],[1,223,233,1,0],[1,236,246,1,0],[1,246,256,1,0],[1,256,266,1,0],[1,268,277,1,0],[1,280,290,1,0],[1,292,302,1,0],[1,304,314,1,0],[1,314,324,1,0],[1,327,336,1,0],[1,336,345,1,0],[1,345,355,1,0],[1,355,365,1,0],[1,365,375,1,0],[1,375,384,1,0],[1,384,394,1,0],[1,396,406,1,0],[1,406,411,1,0],[1,413,422,1,0],[1,422,428,1,0],[1,429,438,1,0],[1,438,447,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,21,31,1,0],[0,31,41,1,0],[0,41,51,1,0],[0,51,61,1,0],[0,62,72,1,0],[0,78,88,1,0],[0,90,100,1,0],[1,94,104,1,0],[0,100,110,1,0],[1,105,115,1,0],[0,110,120,1,0],[1,115,125,1,0],[0,120,130,1,0],[1,127,137,1,0],[0,130,140,1,0],[1,141,147,1,0],[0,142,152,1,0],[1,147,157,1,0],[0,153,163,1,0],[1,159,169,1,0],[1,169,179,1,0],[0,176,186,1,0],[1,179,189,1,0],[0,186,196,1,0],[1,191,201,1,0],[0,199,209,1,0],[1,208,218,1,0],[0,209,219,1,0],[1,220,229,1,0],[0,221,231,1,0],[0,232,242,1,0],[1,237,247,1,0],[1,247,256,1,0],[0,248,258,1,0],[1,256,266,1,0],[0,258,268,1,0],[1,266,276,1,0],[0,270,280,1,0],[1,276,285,1,0],[0,280,290,1,0],[0,293,303,1,0],[1,296,304,1,0],[0,303,313,1,0],[1,305,315,1,0],[0,314,324,1,0],[1,323,333,1,0],[0,326,336,1,0],[0,340,350,1,0],[1,344,353,1,0],[1,356,366,1,0],[0,357,361,1,0],[0,363,371,1,0],[1,366,375,1,0],[1,382,391,1,0],[0,383,389,1,0],[1,394,403,1,0],[0,401,403,1,0],[1,412,422,1,0],[1,425,434,1,0],[1,444,454,1,0],[1,467,477,1,0],[1,487,497,1,0]],[[0,4,14,1,0],[0,14,24,1,0],[0,25,35,1,0],[0,39,49,1,0],[0,49,59,1,0],[0,60,70,1,0],[0,78,88,1,0],[0,93,103,1,0],[1,95,104,1,0],[0,108,118,1,0],[1,114,124,1,0],[1,124,134,1,0],[0,125,135,1,0],[1,134,144,1,0],[0,135,145,1,0],[1,145,154,1,0],[0,148,158,1,0],[1,154,164,1,0],[0,160,170,1,0],[1,164,173,1,0],[1,173,183,1,0],[0,174,184,1,0],[1,183,192,1,0],[0,185,195,1,0],[1,193,202,1,0],[0,197,207,1,0],[1,202,212,1,0],[0,208,218,1,0],[1,213,223,1,0],[0,220,230,1,0],[1,223,232,1,0],[1,232,233,1,0],[1,233,242,1,0],[0,234,244,1,0],[1,244,254,1,0],[0,245,255,1,0],[1,254,264,1,0],[0,258,268,1,0],[1,264,274,1,0],[0,270,280,1,0],[1,276,286,1,0],[0,280,290,1,0],[1,288,297,1,0],[1,297,306,1,0],[0,299,309,1,0],[1,306,316,1,0],[0,311,321,1,0],[1,319,329,1,0],[0,325,327,1,0],[1,331,341,1,0],[0,335,341,1,0],[1,343,349,1,0],[0,343,353,1,0],[1,349,359,1,0],[0,357,367,1,0],[1,359,369,1,0],[1,369,378,1,0],[0,374,384,1,0],[1,384,393,1,0],[0,390,400,1,0],[1,412,422,1,0],[0,413,423,1,0],[1,429,439,1,0],[0,434,438,1,0],[0,485,493,1,0]],[[0,0,10,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,65,75,1,0],[0,75,85,1,0],[0,86,96,1,0],[0,99,109,1,0],[0,112,122,1,0],[1,122,131,1,0],[0,124,134,1,0],[0,134,144,1,0],[0,144,154,1,0],[0,154,164,1,0],[0,169,179,1,0],[1,180,190,1,0],[0,181,191,1,0],[1,193,202,1,0],[0,195,205,1,0],[1,206,215,1,0],[0,207,217,1,0],[1,215,224,1,0],[0,219,229,1,0],[1,224,233,1,0],[0,230,240,1,0],[0,240,250,1,0],[1,243,253,1,0],[0,250,260,1,0],[1,254,263,1,0],[1,263,272,1,0],[0,264,274,1,0],[1,275,284,1,0],[0,277,287,1,0],[1,284,294,1,0],[0,290,300,1,0],[0,300,310,1,0],[1,303,313,1,0],[0,311,321,1,0],[1,318,328,1,0],[0,321,331,1,0],[1,328,334,1,0],[0,331,341,1,0],[1,338,348,1,0],[0,341,351,1,0],[1,349,358,1,0],[1,363,373,1,0],[0,364,374,1,0],[1,376,385,1,0],[1,387,397,1,0],[1,405,415,1,0],[1,428,437,1,0],[1,437,446,1,0],[1,449,459,1,0],[1,459,469,1,0],[1,469,473,1,0],[1,475,485,1,0],[1,486,496,1,0],[1,497,507,1,0],[1,507,516,1,0],[1,516,526,1,0],[1,526,535,1,0]],[[0,3,13,1,0],[0,28,38,1,0],[0,38,48,1,0],[0,48,58,1,0],[0,60,70,1,0],[0,70,80,1,0],[0,82,92,1,0],[0,97,107,1,0],[0,107,117,1,0],[0,119,129,1,0],[1,125,134,1,0],[0,132,142,1,0],[0,142,152,1,0],[0,156,166,1,0],[0,166,176,1,0],[1,178,188,1,0],[0,179,189,1,0],[1,188,197,1,0],[0,194,204,1,0],[1,197,207,1,0],[0,205,215,1,0],[1,213,223,1,0],[0,215,225,1,0],[1,227,236,1,0],[0,228,238,1,0],[1,236,245,1,0],[0,240,250,1,0],[0,253,263,1,0],[0,263,273,1,0],[0,273,283,1,0],[1,275,285,1,0],[0,285,295,1,0],[1,290,299,1,0],[0,295,305,1,0],[1,300,310,1,0],[0,309,319,1,0],[1,314,324,1,0],[0,322,332,1,0],[1,325,335,1,0],[0,334,344,1,0],[1,339,349,1,0],[0,344,354,1,0],[1,350,360,1,0],[1,360,370,1,0],[0,361,371,1,0],[1,372,382,1,0],[0,373,383,1,0],[1,383,393,1,0],[0,384,394,1,0],[1,394,403,1,0],[1,407,416,1,0],[1,418,428,1,0],[1,429,438,1,0],[1,438,447,1,0],[1,447,451,1,0],[1,458,467,1,0],[1,469,478,1,0],[1,481,491,1,0],[1,492,501,1,0],[1,501,511,1,0],[1,511,521,1,0],[1,521,531,1,0],[1,531,535,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,21,31,1,0],[0,31,41,1,0],[0,41,51,1,0],[0,51,61,1,0],[0,62,72,1,0],[0,77,87,1,0],[0,87,97,1,0],[0,103,113,1,0],[1,112,122,1,0],[0,113,123,1,0],[0,123,133,1,0],[0,133,143,1,0],[0,146,156,1,0],[0,159,169,1,0],[1,168,178,1,0],[0,169,179,1,0],[1,188,197,1,0],[0,189,199,1,0],[0,201,211,1,0],[0,211,221,1,0],[0,221,231,1,0],[1,233,243,1,0],[0,234,244,1,0],[0,246,256,1,0],[1,248,257,1,0],[0,259,269,1,0],[1,266,276,1,0],[0,269,279,1,0],[0,282,288,1,0],[1,286,295,1,0],[0,289,299,1,0],[0,299,309,1,0],[1,306,315,1,0],[0,309,317,1,0],[1,315,324,1,0],[0,317,327,1,0],[0,329,339,1,0],[1,332,341,1,0],[1,344,353,1,0],[0,347,357,1,0],[1,357,366,1,0],[0,358,368,1,0],[1,368,377,1,0],[0,371,373,1,0],[0,381,385,1,0],[1,384,393,1,0],[1,394,403,1,0],[1,403,412,1,0],[1,417,426,1,0],[1,428,437,1,0],[1,437,446,1,0],[1,446,455,1,0],[1,460,469,1,0],[1,472,481,1,0],[1,481,489,1,0],[1,491,500,1,0],[1,502,512,1,0],[1,512,521,1,0],[1,521,531,1,0],[1,531,540,1,0],[1,540,549,1,0],[1,549,558,1,0],[1,558,567,1,0],[1,567,569,1,0]],[[0,6,16,1,0],[0,16,26,1,0],[0,29,39,1,0],[0,39,49,1,0],[0,51,61,1,0],[0,69,79,1,0],[0,79,89,1,0],[0,96,106,1,0],[0,107,117,1,0],[1,120,130,1,0],[0,126,136,1,0],[0,136,146,1,0],[0,151,161,1,0],[1,153,163,1,0],[0,162,172,1,0],[1,164,173,1,0],[0,176,186,1,0],[1,181,190,1,0],[0,188,198,1,0],[1,197,206,1,0],[0,199,209,1,0],[1,206,215,1,0],[0,211,221,1,0],[1,217,226,1,0],[0,223,233,1,0],[1,227,236,1,0],[0,239,249,1,0],[1,241,250,1,0],[1,250,259,1,0],[0,251,261,1,0],[1,261,270,1,0],[0,262,272,1,0],[1,270,279,1,0],[0,272,282,1,0],[1,279,288,1,0],[0,282,292,1,0],[1,288,297,1,0],[0,296,306,1,0],[1,301,310,1,0],[1,311,320,1,0],[0,312,322,1,0],[0,322,332,1,0],[1,328,337,1,0],[0,332,342,1,0],[0,343,353,1,0],[1,346,356,1,0],[0,353,363,1,0],[1,357,366,1,0],[0,369,379,1,0],[1,372,381,1,0],[1,381,390,1,0],[0,387,397,1,0],[1,397,406,1,0],[1,406,416,1,0],[0,411,421,1,0],[1,417,426,1,0],[1,433,442,1,0],[1,443,452,1,0],[1,456,465,1,0],[1,465,467,1,0],[1,467,477,1,0],[1,484,493,1,0],[1,493,501,1,0],[1,505,515,1,0]],[[0,7,17,1,0],[0,17,27,1,0],[0,27,37,1,0],[0,37,47,1,0],[0,47,57,1,0],[0,58,68,1,0],[0,68,78,1,0],[0,80,90,1,0],[0,90,100,1,0],[1,93,103,1,0],[1,105,115,1,0],[0,106,116,1,0],[0,119,129,1,0],[1,121,131,1,0],[0,129,139,1,0],[1,131,141,1,0],[0,139,149,1,0],[1,143,153,1,0],[0,151,161,1,0],[1,154,164,1,0],[0,163,173,1,0],[1,165,175,1,0],[1,175,185,1,0],[0,177,187,1,0],[1,187,197,1,0],[0,188,198,1,0],[0,199,209,1,0],[1,205,215,1,0],[0,211,221,1,0],[0,222,232,1,0],[1,224,234,1,0],[0,233,243,1,0],[0,245,255,1,0],[1,248,258,1,0],[0,255,265,1,0],[1,266,276,1,0],[0,269,279,1,0],[1,278,288,1,0],[0,279,289,1,0],[1,290,300,1,0],[0,291,301,1,0],[0,301,311,1,0],[1,306,316,1,0],[0,311,321,1,0],[1,317,327,1,0],[0,321,331,1,0],[0,331,341,1,0],[1,334,344,1,0],[0,341,351,1,0],[1,349,359,1,0],[0,363,373,1,0],[1,366,376,1,0],[1,378,388,1,0],[1,391,401,1,0],[1,411,419,1,0],[1,422,432,1,0],[1,437,447,1,0],[1,447,457,1,0],[1,457,465,1,0],[1,465,475,1,0],[1,475,485,1,0]],[[0,21,31,1,0],[0,31,41,1,0],[0,41,51,1,0],[0,51,61,1,0],[0,62,72,1,0],[0,72,82,1,0],[0,84,94,1,0],[1,93,103,1,0],[0,100,110,1,0],[1,106,116,1,0],[0,110,120,1,0],[1,116,126,1,0],[0,120,130,1,0],[1,131,141,1,0],[0,132,142,1,0],[1,141,151,1,0],[0,146,156,1,0],[0,158,168,1,0],[0,168,178,1,0],[1,180,190,1,0],[0,181,191,1,0],[1,190,200,1,0],[0,196,206,1,0],[1,204,214,1,0],[0,206,216,1,0],[1,216,226,1,0],[0,216,226,1,0],[1,226,236,1,0],[0,230,240,1,0],[1,240,248,1,0],[0,244,254,1,0],[0,256,266,1,0],[1,265,275,1,0],[0,266,276,1,0],[0,276,286,1,0],[1,285,295,1,0],[0,286,296,1,0],[1,297,307,1,0],[0,300,310,1,0],[1,307,317,1,0],[0,313,323,1,0],[1,317,327,1,0],[0,323,333,1,0],[1,328,338,1,0],[0,335,345,1,0],[1,344,354,1,0],[0,347,357,1,0],[1,354,364,1,0],[0,358,368,1,0],[1,374,384,1,0],[0,375,385,1,0],[1,385,395,1,0],[0,389,399,1,0],[1,397,407,1,0],[1,407,417,1,0],[1,421,429,1,0],[1,431,441,1,0],[1,442,452,1,0],[1,455,465,1,0],[1,473,483,1,0],[1,484,494,1,0]],[[0,0,10,1,0],[0,14,24,1,0],[0,24,30,1,0],[0,31,41,1,0],[0,41,51,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,80,90,1,0],[0,90,92,1,0],[0,92,102,1,0],[1,103,113,1,0],[0,104,114,1,0],[0,114,124,1,0],[0,126,136,1,0],[0,136,146,1,0],[1,143,153,1,0],[0,147,157,1,0],[1,156,166,1,0],[0,161,171,1,0],[1,166,176,1,0],[0,171,181,1,0],[1,177,187,1,0],[0,184,194,1,0],[0,197,207,1,0],[0,207,217,1,0],[1,217,227,1,0],[0,222,232,1,0],[1,231,241,1,0],[0,232,242,1,0],[1,243,252,1,0],[0,244,254,1,0],[1,252,262,1,0],[0,254,264,1,0],[1,262,271,1,0],[0,264,268,1,0],[1,273,283,1,0],[0,274,284,1,0],[1,287,297,1,0],[0,290,300,1,0],[1,301,311,1,0],[0,302,310,1,0],[0,310,320,1,0],[1,313,323,1,0],[0,322,332,1,0],[1,328,338,1,0],[0,332,342,1,0],[1,339,349,1,0],[0,342,352,1,0],[1,354,364,1,0],[0,357,367,1,0],[1,365,374,1,0],[0,367,377,1,0],[1,374,384,1,0],[1,387,397,1,0],[1,397,407,1,0],[1,409,419,1,0],[1,427,436,1,0],[1,436,445,1,0],[1,445,455,1,0],[1,455,465,1,0],[1,465,474,1,0],[1,474,484,1,0],[1,484,494,1,0],[1,494,496,1,0]],[[0,0,10,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,72,82,1,0],[0,84,94,1,0],[0,98,108,1,0],[0,114,124,1,0],[0,124,134,1,0],[1,133,143,1,0],[0,139,149,1,0],[1,143,153,1,0],[1,153,163,1,0],[0,156,166,1,0],[0,166,176,1,0],[1,168,178,1,0],[1,178,187,1,0],[0,181,191,1,0],[1,189,199,1,0],[0,192,202,1,0],[0,202,212,1,0],[0,212,222,1,0],[1,218,228,1,0],[0,228,238,1,0],[0,239,249,1,0],[1,242,252,1,0],[0,250,260,1,0],[1,253,255,1,0],[1,255,265,1,0],[0,260,270,1,0],[1,265,275,1,0],[1,277,287,1,0],[0,278,288,1,0],[0,289,299,1,0],[1,291,301,1,0],[1,301,310,1,0],[0,302,312,1,0],[0,312,322,1,0],[1,314,324,1,0],[0,322,332,1,0],[1,325,335,1,0],[0,332,342,1,0],[1,338,348,1,0],[0,345,355,1,0],[1,348,358,1,0],[1,358,368,1,0],[0,364,374,1,0],[1,368,378,1,0],[0,376,386,1,0],[1,379,386,1,0],[1,386,396,1,0],[1,397,407,1,0],[0,399,409,1,0],[1,409,418,1,0],[1,418,428,1,0],[0,419,429,1,0],[1,430,440,1,0],[1,440,450,1,0],[1,450,460,1,0],[1,464,474,1,0],[1,474,484,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,23,33,1,0],[0,33,43,1,0],[0,43,53,1,0],[0,54,64,1,0],[0,71,81,1,0],[0,86,96,1,0],[0,96,106,1,0],[0,108,118,1,0],[1,114,123,1,0],[0,119,129,1,0],[1,123,132,1,0],[1,134,144,1,0],[0,135,145,1,0],[1,145,154,1,0],[0,146,156,1,0],[1,155,165,1,0],[0,156,166,1,0],[1,165,175,1,0],[0,166,176,1,0],[1,175,184,1,0],[0,180,190,1,0],[1,184,193,1,0],[0,192,202,1,0],[1,197,206,1,0],[0,202,212,1,0],[1,208,218,1,0],[0,216,226,1,0],[1,218,222,1,0],[1,222,231,1,0],[0,226,236,1,0],[1,231,240,1,0],[0,238,248,1,0],[1,242,251,1,0],[0,249,259,1,0],[1,251,261,1,0],[0,259,269,1,0],[1,264,274,1,0],[0,270,280,1,0],[1,274,283,1,0],[0,281,291,1,0],[1,289,298,1,0],[0,294,304,1,0],[1,298,307,1,0],[0,304,314,1,0],[1,307,316,1,0],[0,317,327,1,0],[1,320,329,1,0],[0,327,337,1,0],[1,334,343,1,0],[0,337,347,1,0],[1,346,356,1,0],[1,357,367,1,0],[0,359,369,1,0],[0,369,379,1,0],[1,375,384,1,0],[1,384,394,1,0],[1,394,404,1,0],[1,406,415,1,0],[1,418,428,1,0],[1,432,441,1,0],[1,443,453,1,0]],[[0,14,24,1,0],[0,25,35,1,0],[0,35,45,1,0],[0,45,55,1,0],[0,55,65,1,0],[0,70,80,1,0],[1,93,102,1,0],[0,94,104,1,0],[1,105,115,1,0],[0,109,119,1,0],[1,123,133,1,0],[0,124,134,1,0],[1,133,142,1,0],[0,134,144,1,0],[1,142,146,1,0],[0,144,154,1,0],[1,146,155,1,0],[1,155,165,1,0],[0,156,166,1,0],[1,165,175,1,0],[0,167,177,1,0],[1,175,184,1,0],[0,177,187,1,0],[0,187,197,1,0],[1,189,198,1,0],[0,197,207,1,0],[1,198,207,1,0],[1,210,219,1,0],[0,212,222,1,0],[1,219,228,1,0],[0,222,232,1,0],[1,228,238,1,0],[0,233,243,1,0],[1,239,241,1,0],[1,244,253,1,0],[0,245,255,1,0],[1,253,262,1,0],[0,255,261,1,0],[1,262,271,1,0],[0,263,273,1,0],[1,272,282,1,0],[0,273,283,1,0],[1,284,294,1,0],[0,286,296,1,0],[1,298,307,1,0],[0,299,309,1,0],[1,309,318,1,0],[0,310,320,1,0],[1,320,329,1,0],[0,321,331,1,0],[1,331,340,1,0],[0,332,342,1,0],[1,343,352,1,0],[0,345,355,1,0],[1,352,361,1,0],[0,355,357,1,0],[0,357,367,1,0],[1,368,377,1,0],[0,371,375,1,0],[0,376,384,1,0],[1,383,393,1,0],[0,384,394,1,0],[1,401,410,1,0],[1,417,427,1,0],[1,430,440,1,0],[1,443,452,1,0]],[[0,0,10,1,0],[0,19,29,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,75,85,1,0],[0,85,95,1,0],[1,94,103,1,0],[0,95,105,1,0],[1,103,113,1,0],[0,107,117,1,0],[0,118,128,1,0],[1,121,131,1,0],[0,133,143,1,0],[1,136,146,1,0],[0,143,153,1,0],[1,149,151,1,0],[1,151,160,1,0],[0,153,163,1,0],[1,162,172,1,0],[0,165,175,1,0],[1,172,182,1,0],[0,179,189,1,0],[1,182,191,1,0],[0,189,199,1,0],[1,191,201,1,0],[0,200,210,1,0],[1,202,212,1,0],[0,210,220,1,0],[1,212,222,1,0],[1,222,231,1,0],[0,228,238,1,0],[1,238,248,1,0],[0,239,249,1,0],[1,249,259,1,0],[0,250,260,1,0],[1,259,269,1,0],[0,260,270,1,0],[1,269,279,1,0],[0,270,280,1,0],[1,279,289,1,0],[0,281,291,1,0],[1,289,299,1,0],[0,294,304,1,0],[1,299,309,1,0],[0,307,317,1,0],[1,309,319,1,0],[1,319,328,1,0],[0,320,330,1,0],[1,334,344,1,0],[0,335,345,1,0],[1,346,356,1,0],[0,347,357,1,0],[1,356,366,1,0],[0,358,368,1,0],[1,366,375,1,0],[0,375,385,1,0],[1,381,391,1,0],[1,396,406,1,0],[1,415,425,1,0],[1,425,435,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,26,36,1,0],[0,37,47,1,0],[0,47,57,1,0],[0,57,67,1,0],[0,77,87,1,0],[1,93,103,1,0],[0,94,104,1,0],[1,103,113,1,0],[0,106,116,1,0],[1,122,132,1,0],[0,125,135,1,0],[0,135,145,1,0],[1,136,146,1,0],[0,146,156,1,0],[1,148,158,1,0],[1,158,167,1,0],[0,159,169,1,0],[1,167,176,1,0],[0,170,180,1,0],[1,176,185,1,0],[1,185,195,1,0],[0,186,196,1,0],[0,196,206,1,0],[1,200,210,1,0],[1,212,221,1,0],[0,213,223,1,0],[1,223,233,1,0],[0,224,234,1,0],[1,233,243,1,0],[0,234,244,1,0],[1,243,253,1,0],[0,244,254,1,0],[1,255,265,1,0],[0,256,266,1,0],[1,265,275,1,0],[0,266,276,1,0],[1,281,291,1,0],[0,282,292,1,0],[1,293,303,1,0],[0,295,305,1,0],[0,305,315,1,0],[1,310,320,1,0],[0,315,325,1,0],[1,322,331,1,0],[0,327,337,1,0],[1,334,344,1,0],[0,337,347,1,0],[1,347,356,1,0],[0,349,359,1,0],[1,362,372,1,0],[0,368,378,1,0],[1,380,389,1,0],[0,384,394,1,0],[0,395,405,1,0],[1,399,409,1,0],[1,411,421,1,0],[1,425,434,1,0],[1,440,444,1,0],[1,444,454,1,0],[1,454,464,1,0]],[[0,0,10,1,0],[0,13,23,1,0],[0,23,33,1,0],[0,33,43,1,0],[0,43,53,1,0],[0,56,66,1,0],[0,76,86,1,0],[0,86,96,1,0],[1,94,103,1,0],[0,98,108,1,0],[1,103,113,1,0],[0,109,119,1,0],[1,119,129,1,0],[0,123,133,1,0],[1,129,138,1,0],[0,133,143,1,0],[1,146,156,1,0],[0,147,157,1,0],[0,160,170,1,0],[0,170,180,1,0],[1,176,186,1,0],[0,184,194,1,0],[1,194,203,1,0],[0,197,207,1,0],[1,203,206,1,0],[1,208,217,1,0],[0,209,219,1,0],[1,218,227,1,0],[0,221,231,1,0],[1,229,238,1,0],[0,231,241,1,0],[1,238,248,1,0],[0,241,251,1,0],[0,256,266,1,0],[0,267,277,1,0],[1,270,280,1,0],[0,277,287,1,0],[1,284,294,1,0],[0,287,297,1,0],[1,296,305,1,0],[0,298,308,1,0],[1,305,315,1,0],[0,308,318,1,0],[0,319,329,1,0],[1,321,331,1,0],[0,329,339,1,0],[1,337,346,1,0],[0,339,349,1,0],[0,349,359,1,0],[1,352,361,1,0],[0,359,369,1,0],[1,365,374,1,0],[1,376,386,1,0],[1,387,396,1,0],[1,404,413,1,0],[1,417,426,1,0],[1,426,435,1,0],[1,435,445,1,0],[1,445,454,1,0],[1,455,464,1,0],[1,467,477,1,0],[1,478,487,1,0],[1,487,497,1,0]],[[0,3,13,1,0],[0,13,23,1,0],[0,27,33,1,0],[0,33,35,1,0],[0,35,45,1,0],[0,45,55,1,0],[0,64,74,1,0],[0,78,88,1,0],[0,89,99,1,0],[1,93,103,1,0],[0,104,114,1,0],[0,116,126,1,0],[1,121,131,1,0],[0,130,140,1,0],[0,142,152,1,0],[1,145,155,1,0],[0,159,169,1,0],[0,169,179,1,0],[0,179,189,1,0],[1,183,193,1,0],[0,189,199,1,0],[1,195,205,1,0],[0,201,211,1,0],[1,215,224,1,0],[0,216,226,1,0],[1,226,236,1,0],[0,236,246,1,0],[1,244,254,1,0],[0,246,256,1,0],[1,254,263,1,0],[0,256,266,1,0],[1,266,276,1,0],[0,272,282,1,0],[1,278,288,1,0],[0,282,292,1,0],[1,295,304,1,0],[0,296,306,1,0],[1,310,320,1,0],[0,313,323,1,0],[1,322,331,1,0],[0,323,333,1,0],[1,333,342,1,0],[0,334,344,1,0],[1,342,352,1,0],[0,344,354,1,0],[0,354,364,1,0],[1,361,371,1,0],[1,376,386,1,0],[0,386,394,1,0],[1,390,399,1,0],[1,403,413,1,0],[0,406,416,1,0],[1,420,429,1,0],[1,429,438,1,0],[0,433,443,1,0],[1,443,452,1,0],[1,452,461,1,0],[0,454,458,1,0],[1,461,470,1,0],[1,473,482,1,0],[1,483,492,1,0],[1,492,493,1,0],[1,493,503,1,0],[1,503,512,1,0],[1,512,521,1,0]],[[0,0,10,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,73,83,1,0],[0,85,95,1,0],[1,94,103,1,0],[0,98,108,1,0],[1,107,117,1,0],[0,109,119,1,0],[0,123,133,1,0],[1,131,141,1,0],[0,136,146,1,0],[1,141,150,1,0],[0,146,156,1,0],[0,156,166,1,0],[1,172,176,1,0],[0,173,183,1,0],[1,176,185,1,0],[0,183,193,1,0],[1,187,196,1,0],[0,193,203,1,0],[1,196,205,1,0],[0,203,213,1,0],[1,205,214,1,0],[1,214,223,1,0],[0,218,228,1,0],[1,226,235,1,0],[0,228,238,1,0],[1,235,244,1,0],[0,238,248,1,0],[1,247,256,1,0],[0,248,258,1,0],[1,260,269,1,0],[0,263,273,1,0],[1,270,279,1,0],[0,277,287,1,0],[1,279,288,1,0],[0,287,297,1,0],[1,289,298,1,0],[1,298,307,1,0],[0,302,312,1,0],[1,313,322,1,0],[0,314,324,1,0],[0,324,334,1,0],[1,326,335,1,0],[0,334,344,1,0],[1,335,344,1,0],[0,344,354,1,0],[1,347,357,1,0],[1,357,367,1,0],[0,358,368,1,0],[1,368,377,1,0],[0,369,379,1,0],[1,377,387,1,0],[1,387,397,1,0],[1,410,419,1,0],[1,419,428,1,0],[1,443,452,1,0],[1,456,465,1,0],[1,465,474,1,0],[1,474,480,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,43,53,1,0],[0,55,65,1,0],[0,70,80,1,0],[0,81,91,1,0],[1,95,104,1,0],[0,97,107,1,0],[0,112,122,1,0],[1,116,126,1,0],[0,125,135,1,0],[1,128,137,1,0],[0,135,145,1,0],[1,137,146,1,0],[1,146,155,1,0],[0,149,159,1,0],[0,161,171,1,0],[0,171,181,1,0],[1,178,188,1,0],[0,183,193,1,0],[1,188,192,1,0],[1,197,206,1,0],[0,200,210,1,0],[1,206,215,1,0],[0,212,222,1,0],[1,221,230,1,0],[0,223,233,1,0],[1,231,240,1,0],[0,234,244,1,0],[1,240,249,1,0],[0,246,256,1,0],[1,250,259,1,0],[0,259,269,1,0],[1,265,274,1,0],[0,269,279,1,0],[1,277,286,1,0],[0,279,289,1,0],[1,286,295,1,0],[0,289,299,1,0],[1,300,309,1,0],[0,303,313,1,0],[1,311,320,1,0],[0,313,323,1,0],[1,320,330,1,0],[0,325,335,1,0],[1,330,340,1,0],[1,344,353,1,0],[0,345,355,1,0],[1,354,363,1,0],[0,363,373,1,0],[1,366,375,1,0],[0,374,384,1,0],[1,383,392,1,0],[1,399,408,1,0],[0,404,414,1,0],[1,415,424,1,0],[1,424,433,1,0],[1,435,445,1,0],[1,450,459,1,0],[1,459,469,1,0],[1,469,478,1,0],[1,478,484,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,66,76,1,0],[0,81,91,1,0],[1,93,103,1,0],[0,95,105,1,0],[1,103,113,1,0],[0,107,117,1,0],[0,117,127,1,0],[1,119,129,1,0],[1,129,139,1,0],[0,131,141,1,0],[0,141,151,1,0],[1,147,157,1,0],[0,151,161,1,0],[1,161,171,1,0],[0,165,175,1,0],[1,171,181,1,0],[1,181,191,1,0],[0,182,192,1,0],[0,192,202,1,0],[0,206,216,1,0],[1,212,222,1,0],[0,218,226,1,0],[1,222,232,1,0],[0,226,236,1,0],[1,235,245,1,0],[0,236,246,1,0],[1,245,255,1,0],[0,246,256,1,0],[0,256,266,1,0],[1,259,269,1,0],[0,266,276,1,0],[1,269,279,1,0],[1,279,289,1,0],[0,280,290,1,0],[1,290,300,1,0],[0,291,295,1,0],[0,296,306,1,0],[1,302,312,1,0],[0,306,316,1,0],[1,315,325,1,0],[0,322,332,1,0],[1,325,335,1,0],[1,335,345,1,0],[0,336,346,1,0],[1,353,363,1,0],[0,364,374,1,0],[1,368,378,1,0],[1,379,381,1,0],[1,382,392,1,0],[1,396,406,1,0],[0,397,407,1,0],[1,417,427,1,0],[0,422,424,1,0],[1,431,441,1,0],[0,433,439,1,0],[1,441,451,1,0],[1,451,455,1,0],[1,455,465,1,0]],[[0,1,11,1,0],[0,11,21,1,0],[0,23,33,1,0],[0,35,45,1,0],[0,45,55,1,0],[0,59,69,1,0],[0,72,82,1,0],[0,83,93,1,0],[1,95,105,1,0],[0,96,106,1,0],[1,107,117,1,0],[0,112,122,1,0],[1,124,134,1,0],[0,125,135,1,0],[1,134,144,1,0],[0,135,145,1,0],[0,146,156,1,0],[1,153,163,1,0],[0,159,169,1,0],[1,171,181,1,0],[0,174,184,1,0],[1,181,191,1,0],[1,191,201,1,0],[0,194,204,1,0],[1,201,211,1,0],[0,204,214,1,0],[1,211,221,1,0],[0,219,229,1,0],[1,221,231,1,0],[0,229,239,1,0],[1,231,241,1,0],[0,239,249,1,0],[1,245,255,1,0],[0,249,259,1,0],[1,258,268,1,0],[0,259,269,1,0],[1,268,278,1,0],[0,272,278,1,0],[1,278,288,1,0],[0,279,289,1,0],[1,290,292,1,0],[0,291,293,1,0],[1,293,303,1,0],[1,303,313,1,0],[0,308,318,1,0],[1,314,324,1,0],[1,324,334,1,0],[0,325,335,1,0],[1,334,344,1,0],[0,335,345,1,0],[1,346,356,1,0],[0,347,357,1,0],[1,356,366,1,0],[1,366,376,1,0],[0,370,380,1,0],[1,378,388,1,0],[0,382,392,1,0],[1,392,402,1,0],[0,392,396,1,0],[1,404,414,1,0],[0,405,415,1,0],[1,419,423,1,0],[1,424,434,1,0],[0,438,446,1,0]],[[0,0,10,1,0],[0,12,22,1,0],[0,25,35,1,0],[0,35,45,1,0],[0,45,55,1,0],[0,56,66,1,0],[0,66,76,1,0],[0,77,87,1,0],[1,94,103,1,0],[0,96,106,1,0],[0,106,116,1,0],[1,111,121,1,0],[0,116,126,1,0],[0,126,136,1,0],[1,131,141,1,0],[0,138,148,1,0],[1,141,151,1,0],[0,148,158,1,0],[1,155,165,1,0],[0,158,168,1,0],[1,165,175,1,0],[1,175,185,1,0],[0,176,186,1,0],[1,191,201,1,0],[0,192,202,1,0],[1,201,210,1,0],[0,202,212,1,0],[0,212,222,1,0],[1,222,232,1,0],[0,225,235,1,0],[0,235,245,1,0],[1,243,253,1,0],[0,245,255,1,0],[1,256,262,1,0],[0,257,267,1,0],[0,267,277,1,0],[1,270,279,1,0],[0,278,288,1,0],[1,286,296,1,0],[0,288,298,1,0],[1,297,307,1,0],[0,298,308,1,0],[1,310,319,1,0],[0,315,325,1,0],[0,325,335,1,0],[1,331,341,1,0],[0,337,347,1,0],[1,342,352,1,0],[1,354,363,1,0],[0,360,370,1,0],[1,365,374,1,0],[0,370,380,1,0],[1,375,384,1,0],[1,384,393,1,0],[1,393,403,1,0],[1,404,414,1,0],[1,414,424,1,0],[1,425,435,1,0],[1,435,445,1,0],[1,446,454,1,0],[1,454,464,1,0],[1,467,477,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,30,40,1,0],[0,40,50,1,0],[0,50,60,1,0],[0,60,70,1,0],[0,71,81,1,0],[0,83,93,1,0],[1,94,104,1,0],[0,101,111,1,0],[0,114,124,1,0],[1,115,125,1,0],[1,127,137,1,0],[0,128,136,1,0],[1,137,147,1,0],[0,138,148,1,0],[1,147,156,1,0],[0,148,158,1,0],[0,158,168,1,0],[1,167,177,1,0],[0,170,180,1,0],[0,180,190,1,0],[1,188,198,1,0],[0,190,200,1,0],[0,200,210,1,0],[1,209,219,1,0],[0,216,226,1,0],[1,222,232,1,0],[0,228,238,1,0],[1,232,242,1,0],[0,238,248,1,0],[1,242,252,1,0],[1,252,261,1,0],[0,258,260,1,0],[1,261,271,1,0],[0,262,272,1,0],[1,271,281,1,0],[0,272,282,1,0],[1,281,291,1,0],[0,282,292,1,0],[1,291,301,1,0],[0,297,303,1,0],[0,303,313,1,0],[1,307,317,1,0],[0,313,323,1,0],[1,317,327,1,0],[0,323,333,1,0],[1,327,337,1,0],[0,334,344,1,0],[1,345,349,1,0],[1,352,361,1,0],[0,358,362,1,0],[1,361,371,1,0],[0,363,373,1,0],[1,372,381,1,0],[1,381,391,1,0],[1,391,401,1,0],[1,401,411,1,0],[1,411,420,1,0],[0,418,428,1,0],[1,420,430,1,0],[1,430,439,1,0],[1,439,447,1,0]],[[0,0,10,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,72,82,1,0],[0,86,96,1,0],[1,94,103,1,0],[0,100,110,1,0],[1,106,116,1,0],[0,110,120,1,0],[1,117,126,1,0],[0,124,134,1,0],[1,127,136,1,0],[0,134,144,1,0],[1,136,146,1,0],[1,148,157,1,0],[0,149,159,1,0],[1,157,166,1,0],[0,159,169,1,0],[1,166,175,1,0],[0,172,182,1,0],[1,175,185,1,0],[0,183,193,1,0],[1,185,194,1,0],[1,195,205,1,0],[0,196,206,1,0],[1,205,215,1,0],[0,206,216,1,0],[1,215,225,1,0],[0,217,227,1,0],[1,229,238,1,0],[0,230,240,1,0],[0,240,250,1,0],[1,245,248,1,0],[1,249,258,1,0],[0,250,254,1,0],[0,255,263,1,0],[1,258,268,1,0],[0,268,278,1,0],[1,277,286,1,0],[0,279,289,1,0],[0,291,301,1,0],[1,293,302,1,0],[1,302,312,1,0],[0,304,314,1,0],[1,314,324,1,0],[1,326,336,1,0],[0,327,329,1,0],[1,336,346,1,0],[0,341,347,1,0],[1,346,356,1,0],[0,347,357,1,0],[1,356,365,1,0],[0,357,367,1,0],[1,365,374,1,0],[0,371,381,1,0],[1,377,386,1,0],[1,389,398,1,0],[1,398,408,1,0],[0,399,409,1,0],[1,408,418,1,0],[1,424,432,1,0]],[[0,11,21,1,0],[0,21,31,1,0],[0,31,41,1,0],[0,43,53,1,0],[0,53,63,1,0],[0,63,73,1,0],[0,75,85,1,0],[0,85,95,1,0],[1,93,102,1,0],[0,97,107,1,0],[1,105,115,1,0],[0,107,117,1,0],[1,117,126,1,0],[0,118,128,1,0],[1,128,137,1,0],[0,129,139,1,0],[1,137,147,1,0],[0,139,149,1,0],[1,148,157,1,0],[0,152,162,1,0],[1,161,170,1,0],[0,164,174,1,0],[1,170,179,1,0],[0,174,184,1,0],[1,182,191,1,0],[0,191,201,1,0],[1,195,204,1,0],[1,204,213,1,0],[0,205,215,1,0],[1,214,223,1,0],[0,217,227,1,0],[1,224,233,1,0],[0,227,237,1,0],[1,237,246,1,0],[0,244,254,1,0],[1,250,255,1,0],[1,255,265,1,0],[0,263,273,1,0],[1,273,282,1,0],[0,274,284,1,0],[1,285,294,1,0],[0,286,296,1,0],[1,299,308,1,0],[0,300,310,1,0],[1,308,316,1,0],[0,314,324,1,0],[1,323,332,1,0],[0,324,334,1,0],[1,335,345,1,0],[0,343,353,1,0],[1,348,358,1,0],[1,358,368,1,0],[0,360,370,1,0],[1,370,380,1,0],[0,374,384,1,0],[1,384,394,1,0],[0,385,395,1,0],[1,398,408,1,0],[1,409,419,1,0],[0,417,427,1,0],[1,422,432,1,0],[1,432,441,1,0],[1,441,451,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,75,85,1,0],[0,85,95,1,0],[1,93,103,1,0],[0,95,105,1,0],[1,109,119,1,0],[0,110,120,1,0],[0,120,130,1,0],[1,128,138,1,0],[0,130,140,1,0],[1,138,147,1,0],[0,140,150,1,0],[1,147,157,1,0],[0,150,160,1,0],[1,159,169,1,0],[0,167,177,1,0],[1,169,179,1,0],[0,177,187,1,0],[1,179,189,1,0],[0,187,197,1,0],[1,189,198,1,0],[1,198,208,1,0],[0,201,211,1,0],[1,208,218,1,0],[0,212,222,1,0],[1,218,228,1,0],[0,225,235,1,0],[1,228,238,1,0],[1,238,248,1,0],[0,239,249,1,0],[1,248,258,1,0],[0,249,259,1,0],[0,259,269,1,0],[1,262,267,1,0],[1,267,276,1,0],[0,274,284,1,0],[1,276,286,1,0],[1,286,296,1,0],[0,287,297,1,0],[1,296,306,1,0],[0,297,307,1,0],[1,306,316,1,0],[0,307,317,1,0],[1,316,326,1,0],[0,323,333,1,0],[1,327,337,1,0],[0,333,343,1,0],[1,337,347,1,0],[1,350,360,1,0],[0,351,361,1,0],[1,360,370,1,0],[0,363,373,1,0],[1,371,381,1,0],[1,381,391,1,0],[1,391,401,1,0],[1,410,414,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,72,78,1,0],[0,80,90,1,0],[0,90,92,1,0],[1,93,103,1,0],[0,97,107,1,0],[0,107,117,1,0],[1,116,126,1,0],[0,117,127,1,0],[1,128,137,1,0],[0,129,139,1,0],[1,137,146,1,0],[0,139,149,1,0],[0,149,159,1,0],[1,151,161,1,0],[0,159,169,1,0],[1,161,171,1,0],[1,171,181,1,0],[0,175,185,1,0],[1,184,194,1,0],[0,187,197,1,0],[0,200,210,1,0],[1,202,212,1,0],[0,210,220,1,0],[1,215,225,1,0],[0,223,233,1,0],[1,228,238,1,0],[0,234,244,1,0],[1,238,248,1,0],[0,244,254,1,0],[1,250,260,1,0],[0,254,264,1,0],[1,266,276,1,0],[0,276,286,1,0],[1,278,288,1,0],[0,286,296,1,0],[1,291,301,1,0],[0,297,307,1,0],[1,304,313,1,0],[0,311,321,1,0],[1,314,323,1,0],[0,321,331,1,0],[1,324,328,1,0],[1,329,339,1,0],[1,342,351,1,0],[0,344,354,1,0],[1,354,364,1,0],[0,355,359,1,0],[0,359,367,1,0],[1,367,374,1,0],[0,368,378,1,0],[1,374,384,1,0],[1,384,394,1,0],[1,395,405,1,0],[1,415,425,1,0],[1,425,435,1,0],[1,435,445,1,0],[1,445,455,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,30,40,1,0],[0,40,50,1,0],[0,50,60,1,0],[0,60,70,1,0],[0,70,80,1,0],[0,80,90,1,0],[0,90,100,1,0],[1,94,104,1,0],[0,103,113,1,0],[0,113,123,1,0],[1,118,128,1,0],[1,128,137,1,0],[0,130,140,1,0],[0,140,150,1,0],[1,149,159,1,0],[0,150,160,1,0],[1,161,170,1,0],[0,164,174,1,0],[1,170,179,1,0],[0,177,187,1,0],[1,179,188,1,0],[0,187,197,1,0],[1,194,203,1,0],[0,198,208,1,0],[1,207,217,1,0],[0,211,221,1,0],[1,217,227,1,0],[0,223,233,1,0],[1,229,239,1,0],[0,233,243,1,0],[1,239,249,1,0],[0,246,250,1,0],[1,250,259,1,0],[0,252,260,1,0],[1,259,268,1,0],[0,263,273,1,0],[1,268,277,1,0],[0,273,283,1,0],[1,283,293,1,0],[0,291,297,1,0],[1,300,309,1,0],[0,301,311,1,0],[1,314,324,1,0],[0,315,317,1,0],[0,317,327,1,0],[1,324,333,1,0],[0,329,339,1,0],[1,333,342,1,0],[1,342,351,1,0],[0,346,356,1,0],[1,351,360,1,0],[1,361,370,1,0],[0,368,378,1,0],[1,373,382,1,0],[1,382,391,1,0],[0,392,402,1,0],[1,396,405,1,0],[1,411,420,1,0],[1,433,443,1,0],[1,446,455,1,0],[1,455,464,1,0],[1,466,472,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,23,33,1,0],[0,33,43,1,0],[0,43,53,1,0],[0,53,63,1,0],[0,63,73,1,0],[0,73,83,1,0],[0,83,93,1,0],[1,94,104,1,0],[0,95,105,1,0],[0,112,122,1,0],[1,117,127,1,0],[0,122,132,1,0],[1,128,137,1,0],[0,135,145,1,0],[1,149,159,1,0],[0,150,160,1,0],[1,159,168,1,0],[0,160,170,1,0],[1,170,179,1,0],[0,174,184,1,0],[1,180,189,1,0],[0,187,197,1,0],[1,190,199,1,0],[0,197,207,1,0],[1,201,210,1,0],[0,207,217,1,0],[1,210,219,1,0],[1,219,229,1,0],[0,223,233,1,0],[1,229,239,1,0],[0,237,247,1,0],[1,239,249,1,0],[0,247,257,1,0],[1,255,264,1,0],[0,259,269,1,0],[1,268,278,1,0],[0,278,288,1,0],[1,284,293,1,0],[0,288,298,1,0],[1,298,307,1,0],[0,298,308,1,0],[1,308,318,1,0],[0,315,325,1,0],[1,325,334,1,0],[0,333,343,1,0],[1,337,346,1,0],[0,343,353,1,0],[1,354,364,1,0],[0,356,366,1,0],[1,364,373,1,0],[1,373,382,1,0],[1,382,392,1,0],[0,391,401,1,0],[1,393,402,1,0],[1,410,419,1,0],[0,415,425,1,0],[1,423,432,1,0],[1,434,444,1,0],[1,444,454,1,0],[1,454,460,1,0],[1,460,467,1,0]],[[0,0,10,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,72,82,1,0],[0,82,84,1,0],[0,84,92,1,0],[0,92,98,1,0],[1,94,103,1,0],[0,98,108,1,0],[1,103,113,1,0],[0,108,118,1,0],[1,117,126,1,0],[0,118,128,1,0],[1,127,136,1,0],[0,128,138,1,0],[1,139,148,1,0],[0,140,150,1,0],[1,150,159,1,0],[0,151,161,1,0],[1,160,169,1,0],[0,162,172,1,0],[1,169,178,1,0],[0,174,184,1,0],[1,178,187,1,0],[0,184,194,1,0],[1,188,197,1,0],[0,194,204,1,0],[1,197,206,1,0],[0,206,216,1,0],[1,209,218,1,0],[0,216,226,1,0],[1,219,228,1,0],[1,228,237,1,0],[0,230,240,1,0],[1,240,249,1,0],[0,242,252,1,0],[1,250,259,1,0],[0,253,263,1,0],[1,265,274,1,0],[0,266,276,1,0],[1,274,283,1,0],[0,276,280,1,0],[0,280,290,1,0],[1,283,292,1,0],[1,292,301,1,0],[0,294,304,1,0],[1,301,310,1,0],[1,310,320,1,0],[0,312,322,1,0],[1,320,329,1,0],[0,323,333,1,0],[1,333,343,1,0],[0,335,345,1,0],[1,343,353,1,0],[1,353,362,1,0],[0,355,365,1,0],[1,362,371,1,0],[1,374,383,1,0],[1,393,403,1,0],[1,403,413,1,0],[1,424,434,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,30,40,1,0],[0,40,50,1,0],[0,50,60,1,0],[0,60,70,1,0],[0,70,80,1,0],[0,80,90,1,0],[0,90,100,1,0],[1,94,104,1,0],[0,102,112,1,0],[0,112,116,1,0],[0,116,126,1,0],[0,126,136,1,0],[1,138,148,1,0],[0,138,148,1,0],[1,149,158,1,0],[0,154,156,1,0],[0,156,166,1,0],[1,158,167,1,0],[1,167,176,1,0],[0,168,174,1,0],[0,174,184,1,0],[1,179,188,1,0],[0,184,194,1,0],[1,190,199,1,0],[0,197,207,1,0],[1,201,210,1,0],[0,209,219,1,0],[1,212,221,1,0],[0,221,231,1,0],[1,224,233,1,0],[0,231,241,1,0],[1,236,245,1,0],[0,243,253,1,0],[1,245,255,1,0],[0,253,263,1,0],[1,259,269,1,0],[0,268,278,1,0],[1,274,283,1,0],[0,278,288,1,0],[1,287,296,1,0],[0,294,302,1,0],[1,300,310,1,0],[0,306,316,1,0],[1,312,321,1,0],[0,318,328,1,0],[1,321,330,1,0],[1,334,343,1,0],[0,335,345,1,0],[1,349,359,1,0],[0,356,366,1,0],[1,364,373,1,0],[1,373,382,1,0],[0,386,396,1,0],[1,388,397,1,0],[1,397,406,1,0],[1,406,416,1,0],[1,416,425,1,0],[1,425,434,1,0],[1,434,443,1,0],[1,447,456,1,0],[1,457,466,1,0],[1,466,475,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,30,40,1,0],[0,40,50,1,0],[0,50,60,1,0],[0,60,70,1,0],[0,70,80,1,0],[0,80,90,1,0],[0,91,101,1,0],[1,94,104,1,0],[0,101,111,1,0],[1,104,114,1,0],[0,111,121,1,0],[1,115,125,1,0],[0,121,131,1,0],[1,128,138,1,0],[0,131,141,1,0],[1,138,148,1,0],[0,141,151,1,0],[1,148,158,1,0],[0,153,163,1,0],[1,160,170,1,0],[0,167,177,1,0],[1,170,180,1,0],[0,179,189,1,0],[1,187,197,1,0],[0,193,203,1,0],[1,197,207,1,0],[0,203,213,1,0],[1,207,217,1,0],[0,214,224,1,0],[1,219,229,1,0],[0,227,237,1,0],[1,229,239,1,0],[0,237,247,1,0],[1,241,251,1,0],[0,247,257,1,0],[1,253,263,1,0],[1,263,273,1,0],[0,266,276,1,0],[1,273,283,1,0],[0,276,286,1,0],[1,283,293,1,0],[0,286,296,1,0],[1,293,303,1,0],[0,301,311,1,0],[1,305,311,1,0],[1,318,328,1,0],[1,328,338,1,0],[0,329,339,1,0],[0,339,349,1,0],[1,343,353,1,0],[0,349,359,1,0],[1,356,366,1,0],[1,371,381,1,0],[1,386,396,1,0],[0,387,397,1,0],[1,406,416,1,0],[1,416,426,1,0],[1,426,436,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,30,40,1,0],[0,40,50,1,0],[0,50,60,1,0],[0,61,71,1,0],[0,71,81,1,0],[0,81,91,1,0],[0,91,101,1,0],[1,94,104,1,0],[0,103,113,1,0],[1,108,118,1,0],[0,114,124,1,0],[1,124,134,1,0],[0,127,137,1,0],[0,138,148,1,0],[1,140,150,1,0],[0,149,159,1,0],[1,151,161,1,0],[1,161,171,1,0],[0,162,172,1,0],[1,171,181,1,0],[0,176,186,1,0],[1,182,192,1,0],[0,188,198,1,0],[1,194,204,1,0],[0,198,208,1,0],[1,205,215,1,0],[0,208,218,1,0],[1,215,225,1,0],[0,221,231,1,0],[1,229,239,1,0],[0,233,243,1,0],[1,240,250,1,0],[1,253,263,1,0],[0,254,264,1,0],[1,265,275,1,0],[0,266,276,1,0],[1,275,285,1,0],[0,278,288,1,0],[1,285,295,1,0],[1,295,305,1,0],[0,296,306,1,0],[1,307,317,1,0],[0,308,318,1,0],[1,321,331,1,0],[0,322,332,1,0],[1,331,341,1,0],[0,332,342,1,0],[1,344,354,1,0],[0,351,361,1,0],[1,356,366,1,0],[1,369,379,1,0],[0,372,382,1,0],[1,381,391,1,0],[1,394,404,1,0],[0,400,410,1,0],[1,406,412,1,0],[1,412,422,1,0],[1,432,442,1,0]],[[0,2,12,1,0],[0,12,20,1,0],[0,20,26,1,0],[0,26,36,1,0],[0,36,46,1,0],[0,46,56,1,0],[0,56,60,1,0],[0,60,70,1,0],[0,70,80,1,0],[0,80,90,1,0],[0,90,100,1,0],[1,93,103,1,0],[0,100,110,1,0],[0,112,122,1,0],[1,123,133,1,0],[0,124,134,1,0],[1,133,143,1,0],[0,135,145,1,0],[1,146,156,1,0],[0,149,159,1,0],[1,159,169,1,0],[0,160,170,1,0],[1,169,179,1,0],[0,170,180,1,0],[1,179,188,1,0],[0,180,190,1,0],[1,189,199,1,0],[0,190,200,1,0],[1,201,211,1,0],[0,202,212,1,0],[0,212,222,1,0],[1,214,224,1,0],[0,224,234,1,0],[1,230,240,1,0],[0,234,244,1,0],[1,245,254,1,0],[0,246,256,1,0],[1,256,266,1,0],[0,257,267,1,0],[1,266,276,1,0],[0,268,278,1,0],[1,278,288,1,0],[0,283,293,1,0],[1,290,300,1,0],[0,297,307,1,0],[1,303,312,1,0],[0,307,317,1,0],[1,313,322,1,0],[0,318,320,1,0],[0,320,330,1,0],[1,324,333,1,0],[1,337,346,1,0],[0,339,349,1,0],[1,353,362,1,0],[0,356,366,1,0],[1,364,374,1,0],[1,377,386,1,0],[1,391,401,1,0],[1,401,405,1,0],[1,409,418,1,0],[1,421,430,1,0],[1,430,439,1,0],[1,441,451,1,0],[1,451,461,1,0],[1,461,464,1,0]],[[0,2,12,1,0],[0,12,16,1,0],[0,16,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,72,82,1,0],[0,82,90,1,0],[0,91,101,1,0],[1,93,103,1,0],[0,101,103,1,0],[0,105,115,1,0],[1,113,123,1,0],[0,118,128,1,0],[0,128,138,1,0],[1,138,148,1,0],[0,139,149,1,0],[1,148,157,1,0],[0,149,159,1,0],[1,157,167,1,0],[0,159,169,1,0],[0,169,179,1,0],[1,172,182,1,0],[0,179,189,1,0],[1,182,192,1,0],[0,191,201,1,0],[1,196,205,1,0],[0,203,213,1,0],[1,209,219,1,0],[0,216,226,1,0],[1,219,229,1,0],[0,227,237,1,0],[1,233,243,1,0],[0,237,247,1,0],[1,243,253,1,0],[0,247,257,1,0],[1,253,263,1,0],[0,257,267,1,0],[1,263,273,1,0],[1,273,282,1,0],[0,274,284,1,0],[1,285,294,1,0],[0,287,297,1,0],[1,294,304,1,0],[1,307,317,1,0],[0,308,318,1,0],[0,318,328,1,0],[1,322,332,1,0],[0,329,339,1,0],[1,332,342,1,0],[0,339,349,1,0],[1,347,356,1,0],[1,359,369,1,0],[1,369,378,1,0],[0,371,381,1,0],[1,383,393,1,0],[1,393,403,1,0],[1,406,416,1,0],[1,416,420,1,0],[1,420,429,1,0],[1,429,438,1,0],[1,442,443,1,0],[1,443,452,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,72,82,1,0],[0,82,92,1,0],[1,93,103,1,0],[0,95,105,1,0],[0,105,115,1,0],[1,116,126,1,0],[0,119,129,1,0],[1,126,136,1,0],[0,129,139,1,0],[1,137,146,1,0],[0,141,151,1,0],[1,146,156,1,0],[0,151,161,1,0],[1,160,170,1,0],[0,166,176,1,0],[1,173,182,1,0],[0,177,187,1,0],[1,185,194,1,0],[0,187,197,1,0],[1,199,209,1,0],[0,200,210,1,0],[0,210,220,1,0],[1,213,223,1,0],[0,222,232,1,0],[1,228,237,1,0],[0,233,243,1,0],[1,240,250,1,0],[0,243,253,1,0],[1,254,263,1,0],[0,259,269,1,0],[1,268,277,1,0],[0,271,281,1,0],[1,278,288,1,0],[0,281,291,1,0],[1,289,299,1,0],[0,291,301,1,0],[1,299,309,1,0],[0,302,312,1,0],[1,313,323,1,0],[0,316,326,1,0],[1,324,334,1,0],[0,333,343,1,0],[1,341,350,1,0],[0,344,354,1,0],[1,353,362,1,0],[1,362,372,1,0],[1,381,391,1,0],[0,387,397,1,0],[1,392,402,1,0],[1,405,414,1,0],[1,414,416,1,0],[1,422,431,1,0],[1,434,444,1,0],[1,444,453,1,0],[1,453,462,1,0],[1,463,469,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,64,74,1,0],[0,75,85,1,0],[0,85,95,1,0],[1,93,103,1,0],[0,97,107,1,0],[1,103,112,1,0],[0,107,117,1,0],[1,116,126,1,0],[0,118,128,1,0],[1,131,141,1,0],[0,132,142,1,0],[1,141,150,1,0],[0,143,153,1,0],[1,153,162,1,0],[0,154,164,1,0],[0,164,174,1,0],[1,166,175,1,0],[1,175,184,1,0],[0,176,186,1,0],[1,186,196,1,0],[0,187,197,1,0],[1,197,207,1,0],[0,201,211,1,0],[1,207,216,1,0],[0,211,221,1,0],[1,221,231,1,0],[0,223,233,1,0],[1,234,243,1,0],[0,235,245,1,0],[1,245,255,1,0],[0,248,258,1,0],[1,255,265,1,0],[0,262,272,1,0],[1,265,275,1,0],[0,275,285,1,0],[1,278,288,1,0],[0,285,295,1,0],[1,290,292,1,0],[1,292,301,1,0],[0,296,306,1,0],[1,301,310,1,0],[1,310,319,1,0],[0,313,323,1,0],[1,320,330,1,0],[1,330,339,1,0],[0,331,341,1,0],[1,339,348,1,0],[0,341,351,1,0],[1,351,361,1,0],[1,361,370,1,0],[0,363,373,1,0],[1,371,380,1,0],[0,373,383,1,0],[1,383,391,1,0],[1,400,410,1,0],[1,410,420,1,0],[1,420,430,1,0]],[[0,2,11,1,0],[0,18,27,1,0],[0,36,45,1,0],[0,48,57,1,0],[0,57,66,1,0],[0,68,77,1,0],[0,77,86,1,0],[0,87,96,1,0],[1,93,103,1,0],[0,99,108,1,0],[0,111,120,1,0],[1,117,127,1,0],[0,121,130,1,0],[0,130,139,1,0],[1,138,148,1,0],[0,140,149,1,0],[1,148,158,1,0],[0,151,160,1,0],[1,162,172,1,0],[0,168,177,1,0],[1,178,188,1,0],[0,179,188,1,0],[0,188,197,1,0],[1,190,200,1,0],[0,198,207,1,0],[1,202,212,1,0],[0,212,221,1,0],[1,215,225,1,0],[0,223,232,1,0],[1,227,237,1,0],[0,232,241,1,0],[1,237,247,1,0],[0,241,250,1,0],[1,249,259,1,0],[0,254,263,1,0],[0,263,272,1,0],[1,266,276,1,0],[0,273,282,1,0],[1,279,289,1,0],[0,286,294,1,0],[1,293,303,1,0],[0,300,309,1,0],[1,303,313,1,0],[0,311,320,1,0],[1,317,327,1,0],[0,320,329,1,0],[1,327,337,1,0],[0,329,333,1,0],[0,336,337,1,0],[1,341,351,1,0],[0,344,349,1,0],[0,349,358,1,0],[1,354,364,1,0],[1,367,377,1,0],[0,376,385,1,0],[1,380,390,1,0],[1,394,402,1,0],[1,405,415,1,0],[1,415,425,1,0],[1,425,435,1,0],[1,435,443,1,0],[1,445,455,1,0],[1,455,465,1,0]],[[0,2,11,1,0],[0,12,21,1,0],[0,31,40,1,0],[0,41,50,1,0],[0,50,59,1,0],[0,63,72,1,0],[0,73,82,1,0],[0,84,93,1,0],[1,93,103,1,0],[0,96,105,1,0],[0,108,117,1,0],[1,112,122,1,0],[0,122,131,1,0],[1,130,140,1,0],[0,132,141,1,0],[0,142,151,1,0],[1,145,154,1,0],[0,152,161,1,0],[1,154,163,1,0],[0,161,170,1,0],[1,164,173,1,0],[1,173,183,1,0],[0,174,183,1,0],[1,184,194,1,0],[0,187,196,1,0],[1,194,202,1,0],[0,196,205,1,0],[1,202,212,1,0],[0,207,216,1,0],[1,212,222,1,0],[0,219,228,1,0],[1,222,232,1,0],[0,229,238,1,0],[1,233,243,1,0],[0,244,253,1,0],[1,248,258,1,0],[0,255,264,1,0],[1,258,268,1,0],[0,265,274,1,0],[1,268,278,1,0],[0,279,288,1,0],[1,282,292,1,0],[1,292,302,1,0],[0,293,302,1,0],[1,302,303,1,0],[1,303,313,1,0],[0,304,313,1,0],[1,314,324,1,0],[0,316,325,1,0],[1,324,334,1,0],[0,325,334,1,0],[1,335,345,1,0],[0,338,347,1,0],[1,346,356,1,0],[1,356,366,1,0],[0,357,366,1,0],[1,370,380,1,0],[0,375,384,1,0],[1,382,392,1,0],[1,392,402,1,0],[1,402,412,1,0],[1,419,429,1,0]],[[0,2,11,1,0],[0,26,35,1,0],[0,37,46,1,0],[0,51,60,1,0],[0,60,69,1,0],[0,69,78,1,0],[0,78,87,1,0],[0,87,96,1,0],[1,93,103,1,0],[0,96,105,1,0],[1,104,114,1,0],[0,106,115,1,0],[0,124,133,1,0],[0,136,145,1,0],[1,139,141,1,0],[1,141,150,1,0],[0,146,155,1,0],[1,155,165,1,0],[0,160,169,1,0],[1,165,174,1,0],[0,171,180,1,0],[1,174,183,1,0],[0,180,189,1,0],[1,184,194,1,0],[0,189,198,1,0],[1,196,205,1,0],[0,200,209,1,0],[1,205,215,1,0],[0,209,218,1,0],[1,218,227,1,0],[0,225,234,1,0],[1,227,236,1,0],[0,234,243,1,0],[1,240,249,1,0],[0,244,253,1,0],[1,251,261,1,0],[0,257,266,1,0],[1,262,271,1,0],[0,268,277,1,0],[1,274,283,1,0],[0,279,288,1,0],[1,287,296,1,0],[0,288,297,1,0],[1,296,305,1,0],[0,301,310,1,0],[1,305,314,1,0],[0,310,319,1,0],[1,316,325,1,0],[1,325,335,1,0],[0,331,340,1,0],[1,335,344,1,0],[1,344,353,1,0],[0,345,354,1,0],[1,357,367,1,0],[0,363,372,1,0],[1,367,376,1,0],[1,378,387,1,0],[0,384,393,1,0],[1,387,396,1,0],[1,409,418,1,0],[1,418,427,1,0],[1,427,436,1,0],[1,436,445,1,0],[1,445,451,1,0]],[[0,2,11,1,0],[0,20,29,1,0],[0,33,42,1,0],[0,47,53,1,0],[0,57,66,1,0],[0,67,70,1,0],[0,73,82,1,0],[0,86,95,1,0],[1,93,103,1,0],[0,95,97,1,0],[0,97,106,1,0],[0,106,115,1,0],[0,122,131,1,0],[1,131,141,1,0],[0,132,141,1,0],[1,143,152,1,0],[0,145,154,1,0],[1,154,164,1,0],[0,156,163,1,0],[1,164,173,1,0],[0,165,174,1,0],[1,173,175,1,0],[0,174,183,1,0],[1,177,186,1,0],[1,186,195,1,0],[0,187,196,1,0],[0,196,205,1,0],[1,203,213,1,0],[1,213,222,1,0],[0,214,223,1,0],[1,223,232,1,0],[0,224,233,1,0],[1,232,241,1,0],[0,233,242,1,0],[1,242,252,1,0],[0,248,257,1,0],[1,253,263,1,0],[0,257,266,1,0],[1,265,275,1,0],[0,267,276,1,0],[1,276,285,1,0],[0,277,286,1,0],[1,287,296,1,0],[0,289,298,1,0],[1,296,305,1,0],[0,298,307,1,0],[1,305,309,1,0],[1,309,318,1,0],[0,315,324,1,0],[1,318,327,1,0],[1,327,336,1,0],[0,328,337,1,0],[1,337,347,1,0],[0,344,353,1,0],[1,358,367,1,0],[0,361,370,1,0],[1,367,377,1,0],[0,372,381,1,0],[1,379,388,1,0],[1,388,397,1,0],[1,397,406,1,0],[1,406,415,1,0],[0,408,417,1,0],[1,417,426,1,0],[1,426,435,1,0],[1,435,445,1,0]],[[0,0,9,1,0],[0,35,44,1,0],[0,44,53,1,0],[0,56,65,1,0],[0,68,77,1,0],[0,80,89,1,0],[0,89,98,1,0],[1,94,103,1,0],[0,100,109,1,0],[1,104,114,1,0],[0,109,118,1,0],[1,114,123,1,0],[0,120,129,1,0],[1,123,132,1,0],[0,129,138,1,0],[1,138,147,1,0],[0,139,148,1,0],[1,152,162,1,0],[0,153,162,1,0],[1,162,171,1,0],[0,163,172,1,0],[1,171,180,1,0],[0,176,185,1,0],[1,180,189,1,0],[0,185,194,1,0],[1,189,199,1,0],[0,195,204,1,0],[1,205,214,1,0],[0,206,215,1,0],[1,214,223,1,0],[0,219,228,1,0],[1,225,234,1,0],[0,228,237,1,0],[1,234,244,1,0],[0,241,250,1,0],[1,249,258,1,0],[0,250,259,1,0],[1,260,270,1,0],[0,263,272,1,0],[0,272,281,1,0],[1,276,280,1,0],[0,281,290,1,0],[1,289,292,1,0],[0,290,299,1,0],[1,292,302,1,0],[0,299,308,1,0],[1,303,313,1,0],[0,308,317,1,0],[1,314,324,1,0],[0,321,330,1,0],[1,329,339,1,0],[0,335,344,1,0],[1,345,354,1,0],[0,352,361,1,0],[1,362,371,1,0],[1,371,380,1,0],[1,385,394,1,0],[0,394,403,1,0],[1,396,405,1,0],[1,407,416,1,0],[1,420,429,1,0],[1,429,438,1,0],[1,438,447,1,0],[1,447,456,1,0]],[[0,2,11,1,0],[0,30,39,1,0],[0,39,48,1,0],[0,49,58,1,0],[0,63,72,1,0],[0,73,82,1,0],[0,85,94,1,0],[1,93,103,1,0],[0,95,104,1,0],[1,107,117,1,0],[0,108,117,1,0],[1,117,126,1,0],[1,126,135,1,0],[0,127,136,1,0],[1,135,144,1,0],[0,136,145,1,0],[1,144,154,1,0],[0,145,154,1,0],[1,154,163,1,0],[0,155,164,1,0],[1,163,167,1,0],[1,167,176,1,0],[0,168,177,1,0],[1,176,185,1,0],[0,178,187,1,0],[1,185,194,1,0],[0,187,196,1,0],[1,195,205,1,0],[0,197,206,1,0],[1,205,214,1,0],[0,208,217,1,0],[1,214,223,1,0],[0,219,228,1,0],[1,223,232,1,0],[0,230,239,1,0],[1,233,242,1,0],[1,244,253,1,0],[0,245,254,1,0],[0,254,263,1,0],[1,255,264,1,0],[1,265,274,1,0],[0,266,275,1,0],[1,278,287,1,0],[0,279,288,1,0],[1,287,297,1,0],[0,289,298,1,0],[1,297,307,1,0],[0,299,308,1,0],[1,307,317,1,0],[0,308,317,1,0],[0,318,327,1,0],[1,320,329,1,0],[1,332,341,1,0],[1,343,352,1,0],[0,345,354,1,0],[1,356,365,1,0],[0,357,366,1,0],[1,365,374,1,0],[0,375,384,1,0],[1,376,385,1,0],[1,386,395,1,0],[1,395,404,1,0],[0,396,405,1,0],[1,414,419,1,0]],[[0,0,9,1,0],[0,9,18,1,0],[0,48,57,1,0],[0,57,66,1,0],[0,66,75,1,0],[0,76,85,1,0],[0,91,100,1,0],[1,94,104,1,0],[0,102,111,1,0],[1,105,115,1,0],[0,111,120,1,0],[0,123,132,1,0],[1,132,142,1,0],[0,135,144,1,0],[0,144,153,1,0],[1,147,157,1,0],[0,155,164,1,0],[1,157,167,1,0],[0,166,175,1,0],[1,170,180,1,0],[0,175,184,1,0],[1,186,196,1,0],[0,188,197,1,0],[1,196,206,1,0],[0,199,208,1,0],[1,208,217,1,0],[0,209,218,1,0],[1,217,219,1,0],[1,219,225,1,0],[0,222,231,1,0],[1,230,240,1,0],[0,232,241,1,0],[1,243,253,1,0],[0,246,255,1,0],[0,255,264,1,0],[1,265,275,1,0],[0,266,275,1,0],[1,275,285,1,0],[0,276,285,1,0],[1,289,299,1,0],[0,291,300,1,0],[0,300,309,1,0],[1,303,313,1,0],[0,309,318,1,0],[1,313,323,1,0],[0,319,328,1,0],[1,323,333,1,0],[1,333,343,1,0],[0,342,351,1,0],[1,344,354,1,0],[1,356,366,1,0],[0,357,366,1,0],[1,366,376,1,0],[1,376,386,1,0],[0,381,390,1,0],[1,386,396,1,0],[1,396,406,1,0],[1,406,415,1,0],[0,409,418,1,0],[1,416,426,1,0],[1,426,436,1,0],[1,436,446,1,0]],[[0,2,11,1,0],[0,29,38,1,0],[0,48,57,1,0],[0,57,66,1,0],[0,67,76,1,0],[0,82,91,1,0],[1,93,103,1,0],[0,96,105,1,0],[0,106,115,1,0],[0,118,127,1,0],[1,119,129,1,0],[0,127,136,1,0],[1,129,139,1,0],[0,138,145,1,0],[0,145,154,1,0],[1,147,157,1,0],[1,157,167,1,0],[0,158,167,1,0],[1,167,177,1,0],[0,168,177,1,0],[1,177,187,1,0],[0,178,181,1,0],[0,183,192,1,0],[1,187,197,1,0],[0,192,201,1,0],[1,197,207,1,0],[0,202,204,1,0],[0,209,218,1,0],[1,214,224,1,0],[0,218,227,1,0],[1,224,234,1,0],[0,228,237,1,0],[1,234,244,1,0],[0,243,252,1,0],[1,247,257,1,0],[0,254,263,1,0],[1,262,272,1,0],[0,267,276,1,0],[1,272,282,1,0],[1,282,292,1,0],[0,283,292,1,0],[0,292,301,1,0],[1,297,307,1,0],[0,304,313,1,0],[1,307,317,1,0],[1,318,328,1,0],[0,319,328,1,0],[1,329,339,1,0],[0,330,339,1,0],[1,341,351,1,0],[0,345,354,1,0],[1,351,361,1,0],[1,361,371,1,0],[0,362,371,1,0],[1,372,382,1,0],[1,383,393,1,0],[0,384,393,1,0],[0,393,402,1,0],[1,395,405,1,0],[1,405,415,1,0],[0,409,415,1,0],[1,415,421,1,0],[1,426,436,1,0]],[[0,13,22,1,0],[0,39,48,1,0],[0,54,63,1,0],[0,63,72,1,0],[0,74,83,1,0],[0,84,93,1,0],[1,93,103,1,0],[0,96,105,1,0],[1,103,113,1,0],[0,105,114,1,0],[1,117,127,1,0],[0,118,127,1,0],[1,127,136,1,0],[0,128,137,1,0],[1,139,149,1,0],[0,140,149,1,0],[1,149,159,1,0],[0,153,162,1,0],[1,160,170,1,0],[0,162,171,1,0],[1,170,180,1,0],[0,171,180,1,0],[1,180,190,1,0],[0,181,190,1,0],[1,190,199,1,0],[0,191,200,1,0],[1,199,208,1,0],[0,201,210,1,0],[1,208,218,1,0],[0,213,222,1,0],[1,224,234,1,0],[0,224,233,1,0],[1,234,243,1,0],[0,238,247,1,0],[1,247,256,1,0],[0,251,260,1,0],[1,256,266,1,0],[1,266,276,1,0],[0,267,276,1,0],[1,276,286,1,0],[0,277,286,1,0],[0,286,295,1,0],[1,290,300,1,0],[0,295,304,1,0],[1,300,309,1,0],[0,304,313,1,0],[1,310,320,1,0],[0,313,322,1,0],[1,323,332,1,0],[0,326,335,1,0],[1,332,342,1,0],[0,335,344,1,0],[1,353,362,1,0],[0,354,363,1,0],[1,364,373,1,0],[0,375,384,1,0],[1,380,389,1,0],[0,384,393,1,0],[1,389,398,1,0],[1,398,407,1,0],[1,422,431,1,0],[1,441,450,1,0]],[[0,2,11,1,0],[0,43,52,1,0],[0,59,68,1,0],[0,69,78,1,0],[0,82,91,1,0],[1,93,103,1,0],[0,94,103,1,0],[0,104,113,1,0],[1,109,119,1,0],[0,113,122,1,0],[0,123,132,1,0],[0,135,144,1,0],[1,138,148,1,0],[0,147,156,1,0],[0,156,165,1,0],[1,160,170,1,0],[0,165,174,1,0],[1,178,188,1,0],[0,178,187,1,0],[0,188,197,1,0],[1,194,204,1,0],[0,197,206,1,0],[0,207,216,1,0],[1,211,221,1,0],[0,216,225,1,0],[1,226,236,1,0],[0,230,239,1,0],[1,241,251,1,0],[0,242,251,1,0],[0,251,260,1,0],[1,260,269,1,0],[1,269,279,1,0],[0,270,279,1,0],[0,279,288,1,0],[1,282,292,1,0],[1,293,302,1,0],[0,294,303,1,0],[1,304,313,1,0],[0,305,314,1,0],[1,314,324,1,0],[0,317,326,1,0],[0,328,337,1,0],[1,330,340,1,0],[0,338,347,1,0],[1,341,350,1,0],[0,347,356,1,0],[1,350,360,1,0],[0,361,370,1,0],[1,364,374,1,0],[1,375,384,1,0],[0,382,391,1,0],[1,385,394,1,0],[1,394,404,1,0],[1,404,414,1,0],[1,414,423,1,0],[0,417,426,1,0],[1,423,432,1,0],[1,432,441,1,0],[1,441,451,1,0],[1,457,464,1,0],[1,464,473,1,0],[1,473,482,1,0]],[[0,2,11,1,0],[0,34,43,1,0],[0,52,54,1,0],[0,59,68,1,0],[0,68,75,1,0],[0,76,85,1,0],[0,87,96,1,0],[1,93,103,1,0],[0,96,105,1,0],[1,105,115,1,0],[0,109,118,1,0],[0,118,124,1,0],[1,121,131,1,0],[0,128,137,1,0],[0,137,146,1,0],[1,143,153,1,0],[0,148,157,1,0],[0,157,166,1,0],[1,163,173,1,0],[0,166,175,1,0],[1,173,183,1,0],[1,183,193,1,0],[0,184,193,1,0],[1,194,204,1,0],[0,195,198,1,0],[0,198,207,1,0],[1,208,218,1,0],[0,209,218,1,0],[0,218,227,1,0],[1,222,232,1,0],[0,228,237,1,0],[1,235,244,1,0],[0,243,252,1,0],[1,251,260,1,0],[0,256,265,1,0],[1,263,272,1,0],[0,265,274,1,0],[1,273,283,1,0],[0,281,290,1,0],[1,284,294,1,0],[0,290,299,1,0],[1,294,304,1,0],[0,299,308,1,0],[1,307,316,1,0],[0,308,317,1,0],[1,317,326,1,0],[0,323,332,1,0],[1,328,337,1,0],[0,333,342,1,0],[1,340,350,1,0],[0,347,356,1,0],[1,350,356,1,0],[1,356,366,1,0],[1,366,376,1,0],[0,368,377,1,0],[1,376,385,1,0],[1,385,394,1,0],[1,394,404,1,0],[0,395,404,1,0],[1,404,413,1,0],[1,413,423,1,0],[0,420,429,1,0],[1,423,433,1,0],[1,441,450,1,0]],[[0,2,11,1,0],[0,30,39,1,0],[0,49,58,1,0],[0,58,67,1,0],[0,69,78,1,0],[0,81,90,1,0],[1,93,103,1,0],[0,97,106,1,0],[1,107,117,1,0],[0,108,117,1,0],[0,117,126,1,0],[1,129,139,1,0],[0,134,143,1,0],[1,139,148,1,0],[0,143,152,1,0],[1,148,158,1,0],[0,155,164,1,0],[1,158,167,1,0],[0,165,174,1,0],[1,167,176,1,0],[0,175,184,1,0],[1,178,187,1,0],[0,184,193,1,0],[1,187,196,1,0],[0,196,205,1,0],[1,202,212,1,0],[0,209,218,1,0],[1,212,221,1,0],[1,221,231,1,0],[0,223,232,1,0],[1,231,240,1,0],[0,238,241,1,0],[1,241,250,1,0],[0,242,249,1,0],[1,251,253,1,0],[1,253,263,1,0],[0,254,263,1,0],[1,266,275,1,0],[0,267,276,1,0],[1,275,285,1,0],[0,278,287,1,0],[1,285,295,1,0],[0,290,299,1,0],[1,297,307,1,0],[0,299,301,1,0],[0,304,313,1,0],[1,307,317,1,0],[1,318,328,1,0],[0,320,329,1,0],[1,328,338,1,0],[0,329,338,1,0],[1,338,348,1,0],[0,343,352,1,0],[1,348,358,1,0],[0,356,365,1,0],[1,363,372,1,0],[1,372,381,1,0],[0,372,381,1,0],[1,384,393,1,0],[0,386,392,1,0],[1,393,399,1,0],[1,400,410,1,0],[0,401,410,1,0],[1,410,420,1,0],[0,426,435,1,0]],[[0,30,39,1,0],[0,52,61,1,0],[0,67,76,1,0],[0,77,86,1,0],[0,86,95,1,0],[1,95,105,1,0],[0,96,105,1,0],[0,105,114,1,0],[1,109,119,1,0],[0,116,125,1,0],[1,119,129,1,0],[0,126,135,1,0],[1,131,141,1,0],[0,137,146,1,0],[1,143,153,1,0],[0,148,157,1,0],[1,153,163,1,0],[0,160,169,1,0],[1,165,175,1,0],[0,169,178,1,0],[1,175,185,1,0],[0,180,189,1,0],[1,185,195,1,0],[0,190,199,1,0],[1,200,210,1,0],[0,201,210,1,0],[1,213,223,1,0],[0,214,223,1,0],[1,224,234,1,0],[0,225,234,1,0],[1,234,244,1,0],[0,237,246,1,0],[0,246,255,1,0],[1,254,264,1,0],[0,255,264,1,0],[1,264,274,1,0],[0,268,277,1,0],[1,276,286,1,0],[0,277,286,1,0],[1,286,296,1,0],[0,288,297,1,0],[0,299,308,1,0],[1,304,314,1,0],[0,309,318,1,0],[0,319,328,1,0],[1,323,333,1,0],[0,329,338,1,0],[1,336,346,1,0],[0,348,357,1,0],[1,349,351,1,0],[1,352,362,1,0],[0,361,370,1,0],[1,363,373,1,0],[1,373,383,1,0],[0,378,387,1,0],[0,387,396,1,0],[1,393,403,1,0],[1,410,420,1,0],[1,423,433,1,0],[1,434,438,1,0],[1,438,448,1,0],[1,448,458,1,0]],[[0,9,18,1,0],[0,52,61,1,0],[0,66,75,1,0],[0,77,86,1,0],[0,86,95,1,0],[1,93,103,1,0],[0,95,104,1,0],[1,105,115,1,0],[0,108,117,1,0],[1,119,129,1,0],[0,120,129,1,0],[0,131,140,1,0],[1,137,147,1,0],[0,141,150,1,0],[1,147,157,1,0],[0,152,161,1,0],[1,157,167,1,0],[0,163,172,1,0],[0,172,181,1,0],[1,174,184,1,0],[0,183,192,1,0],[1,186,190,1,0],[1,192,202,1,0],[0,194,203,1,0],[1,206,216,1,0],[0,206,215,1,0],[0,215,224,1,0],[1,222,232,1,0],[0,225,234,1,0],[1,232,242,1,0],[0,240,249,1,0],[0,253,262,1,0],[1,257,259,1,0],[1,259,269,1,0],[0,263,272,1,0],[1,269,279,1,0],[0,275,284,1,0],[1,283,293,1,0],[0,286,295,1,0],[1,293,303,1,0],[0,296,305,1,0],[1,306,316,1,0],[0,308,317,1,0],[0,317,326,1,0],[1,319,329,1,0],[1,329,339,1,0],[0,335,344,1,0],[1,339,349,1,0],[1,349,359,1,0],[0,353,362,1,0],[1,359,369,1,0],[0,362,371,1,0],[1,373,383,1,0],[0,374,383,1,0],[1,384,394,1,0],[1,394,404,1,0],[1,406,416,1,0],[0,407,416,1,0],[1,426,436,1,0],[1,437,447,1,0],[1,447,457,1,0],[0,456,465,1,0]],[[0,2,11,1,0],[0,39,48,1,0],[0,56,65,1,0],[0,65,74,1,0],[0,74,83,1,0],[0,86,95,1,0],[1,93,102,1,0],[0,95,104,1,0],[0,107,116,1,0],[1,120,128,1,0],[0,123,132,1,0],[1,128,137,1,0],[0,133,135,1,0],[1,137,146,1,0],[0,138,147,1,0],[1,152,162,1,0],[0,155,164,1,0],[1,164,173,1,0],[0,165,172,1,0],[0,172,181,1,0],[1,173,182,1,0],[0,181,187,1,0],[1,189,198,1,0],[0,190,199,1,0],[0,202,211,1,0],[1,208,218,1,0],[0,215,224,1,0],[0,224,233,1,0],[1,227,236,1,0],[0,233,242,1,0],[1,237,246,1,0],[0,243,252,1,0],[1,246,255,1,0],[0,254,263,1,0],[1,259,268,1,0],[1,268,277,1,0],[0,269,278,1,0],[1,279,288,1,0],[0,281,290,1,0],[1,288,297,1,0],[0,292,301,1,0],[1,302,311,1,0],[0,303,312,1,0],[1,311,320,1,0],[0,314,323,1,0],[1,320,329,1,0],[0,324,333,1,0],[1,333,342,1,0],[0,336,345,1,0],[1,342,351,1,0],[1,351,360,1,0],[0,354,363,1,0],[0,363,372,1,0],[1,365,375,1,0],[0,373,382,1,0],[1,377,386,1,0],[0,390,399,1,0],[1,398,408,1,0],[1,414,424,1,0],[1,425,435,1,0],[0,437,440,1,0],[1,439,448,1,0],[1,449,458,1,0],[1,458,467,1,0],[1,468,477,1,0],[1,477,479,1,0]],[[0,0,9,1,0],[0,39,48,1,0],[0,50,59,1,0],[0,59,68,1,0],[0,71,80,1,0],[0,82,91,1,0],[0,91,100,1,0],[1,94,103,1,0],[0,109,118,1,0],[0,118,127,1,0],[1,129,139,1,0],[0,132,141,1,0],[1,144,153,1,0],[0,145,154,1,0],[1,153,162,1,0],[0,154,163,1,0],[0,166,175,1,0],[1,168,177,1,0],[0,175,184,1,0],[1,185,195,1,0],[0,187,196,1,0],[1,195,204,1,0],[0,197,206,1,0],[0,208,217,1,0],[1,212,220,1,0],[0,217,226,1,0],[1,222,232,1,0],[0,229,238,1,0],[1,235,244,1,0],[0,238,247,1,0],[1,248,257,1,0],[0,250,259,1,0],[1,257,266,1,0],[0,259,268,1,0],[1,266,275,1,0],[0,269,272,1,0],[0,277,286,1,0],[1,282,291,1,0],[0,287,296,1,0],[1,293,302,1,0],[0,296,303,1,0],[1,302,303,1,0],[1,303,313,1,0],[0,304,313,1,0],[1,315,324,1,0],[0,321,330,1,0],[0,330,339,1,0],[1,332,341,1,0],[1,349,359,1,0],[0,369,375,1,0],[1,371,381,1,0],[0,378,387,1,0],[1,384,393,1,0],[1,393,403,1,0],[0,395,397,1,0],[0,406,415,1,0],[1,410,419,1,0],[0,418,427,1,0],[1,433,442,1,0],[1,442,451,1,0],[1,451,460,1,0],[1,460,469,1,0],[1,469,478,1,0],[1,480,489,1,0],[1,491,500,1,0],[1,500,509,1,0]],[[0,32,41,1,0],[0,55,64,1,0],[0,66,75,1,0],[0,75,84,1,0],[0,89,98,1,0],[1,93,103,1,0],[0,98,107,1,0],[0,107,116,1,0],[1,117,127,1,0],[0,120,129,1,0],[1,127,136,1,0],[0,129,138,1,0],[1,136,146,1,0],[0,139,148,1,0],[1,151,160,1,0],[0,152,161,1,0],[1,161,170,1,0],[0,164,173,1,0],[1,171,180,1,0],[0,173,182,1,0],[1,183,192,1,0],[0,184,193,1,0],[1,192,201,1,0],[0,193,202,1,0],[0,203,212,1,0],[1,210,219,1,0],[0,213,222,1,0],[1,219,228,1,0],[0,222,231,1,0],[1,233,242,1,0],[0,234,243,1,0],[1,246,255,1,0],[0,247,256,1,0],[1,255,264,1,0],[0,259,268,1,0],[0,268,277,1,0],[1,269,278,1,0],[0,282,291,1,0],[1,284,293,1,0],[0,291,300,1,0],[1,293,302,1,0],[0,301,310,1,0],[1,303,312,1,0],[1,312,321,1,0],[0,313,322,1,0],[1,323,332,1,0],[0,324,333,1,0],[0,337,346,1,0],[1,344,353,1,0],[1,353,363,1,0],[0,356,365,1,0],[1,363,369,1,0],[1,369,379,1,0],[0,370,379,1,0],[1,379,389,1,0],[0,389,398,1,0],[1,397,407,1,0],[1,408,418,1,0],[0,409,418,1,0],[1,418,428,1,0],[1,433,443,1,0],[1,443,451,1,0],[1,451,461,1,0]],[[0,13,22,1,0],[0,44,53,1,0],[0,54,63,1,0],[0,63,72,1,0],[0,80,83,1,0],[0,87,93,1,0],[1,93,102,1,0],[0,94,101,1,0],[1,102,112,1,0],[0,103,112,1,0],[1,112,122,1,0],[0,113,122,1,0],[1,122,131,1,0],[0,125,134,1,0],[1,131,140,1,0],[0,134,143,1,0],[1,140,149,1,0],[0,146,155,1,0],[1,154,163,1,0],[0,155,164,1,0],[0,164,173,1,0],[1,166,175,1,0],[0,177,186,1,0],[1,181,190,1,0],[0,189,198,1,0],[1,193,202,1,0],[0,198,207,1,0],[1,207,216,1,0],[0,208,217,1,0],[1,216,225,1,0],[0,226,235,1,0],[1,228,237,1,0],[0,235,244,1,0],[1,237,246,1,0],[1,246,255,1,0],[0,247,256,1,0],[0,256,265,1,0],[1,259,268,1,0],[0,266,275,1,0],[1,271,280,1,0],[0,277,286,1,0],[1,283,292,1,0],[0,289,298,1,0],[1,294,303,1,0],[0,301,310,1,0],[1,307,316,1,0],[0,312,321,1,0],[1,322,332,1,0],[0,331,333,1,0],[1,337,346,1,0],[0,338,347,1,0],[1,346,354,1,0],[0,348,357,1,0],[1,354,364,1,0],[1,364,374,1,0],[0,364,373,1,0],[1,374,384,1,0],[0,375,384,1,0],[1,386,395,1,0],[1,396,406,1,0],[1,411,421,1,0],[0,422,431,1,0],[1,432,442,1,0],[0,437,446,1,0],[1,444,452,1,0]],[[0,2,11,1,0],[0,54,63,1,0],[0,66,75,1,0],[0,75,84,1,0],[0,84,93,1,0],[1,93,103,1,0],[0,94,103,1,0],[0,105,114,1,0],[1,107,117,1,0],[0,121,127,1,0],[1,126,136,1,0],[0,127,136,1,0],[0,136,145,1,0],[1,140,150,1,0],[0,146,155,1,0],[1,151,160,1,0],[0,157,166,1,0],[1,165,175,1,0],[0,166,175,1,0],[1,180,190,1,0],[0,182,191,1,0],[1,190,200,1,0],[0,196,205,1,0],[1,201,211,1,0],[0,205,214,1,0],[1,211,221,1,0],[0,214,223,1,0],[1,221,231,1,0],[0,227,229,1,0],[1,231,241,1,0],[0,231,240,1,0],[0,241,250,1,0],[0,250,259,1,0],[1,253,263,1,0],[0,259,268,1,0],[1,263,273,1,0],[0,268,277,1,0],[1,276,286,1,0],[0,284,293,1,0],[1,286,296,1,0],[0,297,306,1,0],[1,300,310,1,0],[1,311,321,1,0],[0,314,321,1,0],[0,321,330,1,0],[1,325,335,1,0],[0,330,339,1,0],[1,337,346,1,0],[0,343,352,1,0],[1,347,357,1,0],[0,352,355,1,0],[0,356,365,1,0],[1,359,369,1,0],[0,365,374,1,0],[1,372,382,1,0],[0,377,386,1,0],[1,382,392,1,0],[0,389,398,1,0],[1,395,405,1,0],[1,405,415,1,0],[1,418,420,1,0],[1,424,432,1,0],[1,434,443,1,0],[1,446,455,1,0]],[[0,3,12,1,0],[0,39,48,1,0],[0,51,60,1,0],[0,60,69,1,0],[0,72,81,1,0],[0,81,90,1,0],[1,93,103,1,0],[0,95,104,1,0],[0,107,116,1,0],[1,115,125,1,0],[0,118,127,1,0],[1,125,135,1,0],[0,127,136,1,0],[0,137,146,1,0],[1,150,160,1,0],[0,152,161,1,0],[0,164,173,1,0],[1,175,185,1,0],[0,176,185,1,0],[0,185,194,1,0],[1,193,203,1,0],[0,194,203,1,0],[1,203,213,1,0],[0,204,213,1,0],[1,213,223,1,0],[0,215,224,1,0],[1,223,233,1,0],[0,226,235,1,0],[1,233,243,1,0],[0,235,244,1,0],[0,248,257,1,0],[1,250,260,1,0],[1,260,270,1,0],[0,261,270,1,0],[1,270,280,1,0],[0,271,280,1,0],[1,280,289,1,0],[0,281,290,1,0],[1,289,299,1,0],[0,290,299,1,0],[0,299,308,1,0],[1,301,311,1,0],[0,308,317,1,0],[1,313,323,1,0],[0,317,326,1,0],[1,326,336,1,0],[0,327,336,1,0],[1,336,346,1,0],[1,347,357,1,0],[0,348,357,1,0],[1,357,367,1,0],[0,358,367,1,0],[1,367,377,1,0],[0,367,376,1,0],[1,378,388,1,0],[1,398,408,1,0],[1,408,418,1,0],[1,427,436,1,0],[1,436,446,1,0],[1,453,455,1,0],[1,456,466,1,0],[1,466,472,1,0]],[[0,26,35,1,0],[0,54,63,1,0],[0,64,73,1,0],[0,74,83,1,0],[0,88,97,1,0],[0,97,106,1,0],[1,102,111,1,0],[0,106,115,1,0],[0,115,124,1,0],[1,123,133,1,0],[0,127,136,1,0],[1,133,142,1,0],[0,138,147,1,0],[1,142,151,1,0],[0,152,161,1,0],[1,153,162,1,0],[0,162,171,1,0],[1,165,174,1,0],[0,171,180,1,0],[1,174,183,1,0],[0,180,189,1,0],[1,183,192,1,0],[0,191,200,1,0],[1,193,203,1,0],[0,202,211,1,0],[1,204,214,1,0],[0,213,222,1,0],[1,216,225,1,0],[0,222,231,1,0],[1,225,235,1,0],[0,233,242,1,0],[1,237,243,1,0],[1,243,252,1,0],[0,247,256,1,0],[1,252,262,1,0],[0,256,265,1,0],[1,265,274,1,0],[0,271,280,1,0],[1,278,287,1,0],[0,284,293,1,0],[1,287,297,1,0],[0,293,302,1,0],[1,298,308,1,0],[0,303,312,1,0],[1,308,317,1,0],[0,312,321,1,0],[1,317,327,1,0],[0,321,330,1,0],[1,334,344,1,0],[0,338,347,1,0],[1,344,354,1,0],[0,354,363,1,0],[1,357,366,1,0],[0,363,372,1,0],[1,370,380,1,0],[0,372,381,1,0],[1,380,390,1,0],[0,385,394,1,0],[1,394,403,1,0],[1,408,418,1,0],[1,419,425,1,0],[1,425,434,1,0],[1,434,443,1,0]],[[0,3,12,1,0],[0,41,50,1,0],[0,50,59,1,0],[0,59,68,1,0],[0,74,83,1,0],[0,84,93,1,0],[1,99,108,1,0],[0,100,103,1,0],[0,103,112,1,0],[0,114,123,1,0],[1,122,132,1,0],[0,124,133,1,0],[1,135,144,1,0],[0,140,149,1,0],[1,144,153,1,0],[0,154,163,1,0],[1,164,174,1,0],[0,167,174,1,0],[0,178,187,1,0],[1,180,189,1,0],[0,187,196,1,0],[1,194,203,1,0],[0,196,205,1,0],[1,205,215,1,0],[0,206,215,1,0],[0,216,225,1,0],[1,218,228,1,0],[0,230,239,1,0],[1,235,245,1,0],[0,241,250,1,0],[0,253,262,1,0],[1,257,267,1,0],[0,265,274,1,0],[1,268,278,1,0],[0,277,286,1,0],[0,289,298,1,0],[1,294,304,1,0],[0,301,307,1,0],[0,307,316,1,0],[1,311,321,1,0],[0,316,325,1,0],[0,325,334,1,0],[1,328,338,1,0],[1,338,342,1,0],[0,340,349,1,0],[1,344,353,1,0],[1,356,365,1,0],[0,358,367,1,0],[1,365,374,1,0],[0,370,379,1,0],[0,380,389,1,0],[1,383,392,1,0],[1,395,404,1,0],[0,400,402,1,0],[1,404,414,1,0],[1,419,429,1,0],[1,429,438,1,0],[1,440,449,1,0],[1,455,465,1,0],[0,456,465,1,0],[1,465,475,1,0],[1,475,484,1,0],[1,484,494,1,0],[1,494,503,1,0],[1,503,509,1,0]],[[0,10,19,1,0],[0,48,57,1,0],[0,65,74,1,0],[0,74,76,1,0],[0,76,85,1,0],[0,91,100,1,0],[1,97,107,1,0],[0,102,111,1,0],[1,108,118,1,0],[0,111,120,1,0],[1,118,128,1,0],[0,121,130,1,0],[1,128,137,1,0],[0,133,142,1,0],[1,142,152,1,0],[0,145,154,1,0],[1,152,162,1,0],[0,154,163,1,0],[1,162,172,1,0],[0,163,172,1,0],[1,172,182,1,0],[0,176,185,1,0],[1,187,196,1,0],[0,188,197,1,0],[1,199,208,1,0],[0,200,209,1,0],[1,208,211,1,0],[0,209,218,1,0],[1,211,221,1,0],[0,219,228,1,0],[1,223,232,1,0],[0,228,237,1,0],[1,232,242,1,0],[0,237,246,1,0],[1,242,251,1,0],[0,246,255,1,0],[1,253,263,1,0],[0,261,270,1,0],[1,263,273,1,0],[0,270,276,1,0],[1,276,286,1,0],[0,278,287,1,0],[1,286,296,1,0],[0,287,296,1,0],[1,298,308,1,0],[0,299,308,1,0],[1,308,317,1,0],[0,309,318,1,0],[1,318,328,1,0],[0,319,328,1,0],[0,329,338,1,0],[1,331,341,1,0],[0,339,348,1,0],[1,341,351,1,0],[1,351,361,1,0],[0,353,362,1,0],[1,366,376,1,0],[0,372,379,1,0],[1,376,386,1,0],[0,384,387,1,0],[1,388,398,1,0],[1,403,413,1,0],[1,415,424,1,0],[0,418,427,1,0]],[[0,22,31,1,0],[0,41,50,1,0],[0,54,63,1,0],[0,65,74,1,0],[0,74,83,1,0],[0,85,94,1,0],[1,93,102,1,0],[0,98,107,1,0],[1,103,113,1,0],[0,108,117,1,0],[1,116,126,1,0],[0,118,127,1,0],[1,126,135,1,0],[0,130,139,1,0],[1,135,145,1,0],[0,141,150,1,0],[1,152,161,1,0],[0,155,164,1,0],[1,164,173,1,0],[0,164,173,1,0],[0,173,182,1,0],[1,175,180,1,0],[1,180,189,1,0],[0,184,193,1,0],[0,193,202,1,0],[1,196,206,1,0],[0,203,212,1,0],[1,206,215,1,0],[1,215,225,1,0],[0,217,226,1,0],[1,225,235,1,0],[0,227,236,1,0],[1,236,246,1,0],[0,241,250,1,0],[1,249,259,1,0],[0,255,264,1,0],[1,259,269,1,0],[0,264,273,1,0],[1,271,280,1,0],[0,275,284,1,0],[1,280,290,1,0],[0,284,293,1,0],[0,294,303,1,0],[1,298,307,1,0],[0,303,312,1,0],[1,308,318,1,0],[0,312,321,1,0],[1,321,331,1,0],[0,322,331,1,0],[1,331,341,1,0],[0,332,341,1,0],[1,341,351,1,0],[0,342,351,1,0],[1,351,361,1,0],[0,362,371,1,0],[1,364,373,1,0],[0,371,380,1,0],[1,378,388,1,0],[1,392,402,1,0],[1,410,420,1,0],[1,422,432,1,0],[1,441,451,1,0]],[[1,93,103,1,0],[1,104,106,1,0],[1,113,123,1,0],[1,123,132,1,0],[1,132,142,1,0],[1,143,152,1,0],[1,153,162,1,0],[1,163,172,1,0],[1,172,181,1,0],[1,181,190,1,0],[1,190,200,1,0],[1,203,212,1,0],[1,214,223,1,0],[1,223,233,1,0],[1,233,243,1,0],[1,243,252,1,0],[1,252,261,1,0],[1,261,263,1,0],[1,263,273,1,0],[1,273,283,1,0],[1,284,294,1,0],[1,294,304,1,0],[1,310,320,1,0],[1,320,330,1,0],[1,330,340,1,0],[1,341,351,1,0],[1,351,361,1,0],[1,363,373,1,0],[1,383,393,1,0],[1,393,403,1,0],[1,404,414,1,0]],[[1,93,103,1,0],[1,103,113,1,0],[1,113,123,1,0],[1,123,132,1,0],[1,132,142,1,0],[1,142,151,1,0],[1,151,160,1,0],[1,162,171,1,0],[1,171,180,1,0],[1,180,189,1,0],[1,189,199,1,0],[1,206,215,1,0],[1,216,225,1,0],[1,225,234,1,0],[1,238,248,1,0],[1,252,261,1,0],[1,261,270,1,0],[1,270,279,1,0],[1,284,294,1,0],[1,296,306,1,0],[1,306,316,1,0],[1,316,325,1,0],[1,325,334,1,0],[1,334,344,1,0],[1,348,354,1,0],[1,356,366,1,0],[1,367,377,1,0],[1,379,389,1,0],[1,389,399,1,0],[1,399,401,1,0],[1,408,418,1,0]],[[1,110,120,1,0],[1,139,149,1,0],[1,149,159,1,0],[1,164,174,1,0],[1,174,184,1,0],[1,184,194,1,0],[1,194,202,1,0],[1,202,211,1,0],[1,211,221,1,0],[1,221,231,1,0],[1,233,243,1,0],[1,243,252,1,0],[1,252,261,1,0],[1,266,276,1,0],[1,276,286,1,0],[1,286,296,1,0],[1,296,306,1,0],[1,306,315,1,0],[1,315,324,1,0],[1,326,335,1,0],[1,336,345,1,0],[1,345,355,1,0],[1,355,365,1,0],[1,366,376,1,0],[1,376,384,1,0],[1,387,396,1,0],[1,396,405,1,0],[1,406,415,1,0],[1,417,426,1,0],[1,426,435,1,0]],[[1,96,106,1,0],[1,115,125,1,0],[1,130,140,1,0],[1,150,160,1,0],[1,160,170,1,0],[1,195,205,1,0],[1,205,215,1,0],[1,219,228,1,0],[1,233,243,1,0],[1,248,258,1,0],[1,258,268,1,0],[1,273,283,1,0],[1,287,296,1,0],[1,298,308,1,0],[1,321,331,1,0],[1,332,342,1,0],[1,345,355,1,0],[1,355,365,1,0],[1,365,374,1,0],[1,374,383,1,0],[1,383,393,1,0],[1,393,402,1,0],[1,402,412,1,0],[1,412,422,1,0],[1,422,431,1,0],[1,431,440,1,0],[1,440,450,1,0],[1,450,459,1,0],[1,463,471,1,0],[1,471,475,1,0]],[[0,2,4,1,0],[0,7,17,1,0],[0,17,25,1,0],[0,25,35,1,0],[0,35,45,1,0],[0,45,55,1,0],[0,63,73,1,0],[0,83,93,1,0],[1,95,105,1,0],[0,96,106,1,0],[0,107,117,1,0],[0,118,128,1,0],[1,127,137,1,0],[0,128,138,1,0],[1,137,147,1,0],[0,138,148,1,0],[1,147,149,1,0],[1,149,159,1,0],[0,150,160,1,0],[1,159,168,1,0],[0,160,170,1,0],[0,170,180,1,0],[1,172,181,1,0],[1,184,193,1,0],[0,188,198,1,0],[1,194,203,1,0],[0,201,211,1,0],[1,204,214,1,0],[0,211,221,1,0],[1,216,226,1,0],[0,222,232,1,0],[1,227,237,1,0],[0,235,245,1,0],[1,238,248,1,0],[1,249,258,1,0],[0,250,260,1,0],[1,258,261,1,0],[0,262,272,1,0],[1,266,276,1,0],[0,272,282,1,0],[1,279,289,1,0],[0,282,292,1,0],[1,292,301,1,0],[0,296,306,1,0],[1,302,312,1,0],[0,306,316,1,0],[1,312,322,1,0],[0,316,326,1,0],[0,326,336,1,0],[1,331,340,1,0],[0,337,347,1,0],[1,342,352,1,0],[0,347,357,1,0],[1,358,368,1,0],[0,362,372,1,0],[1,369,379,1,0],[0,375,385,1,0],[1,392,402,1,0],[1,406,415,1,0],[1,423,433,1,0],[1,434,443,1,0],[1,455,465,1,0],[1,471,481,1,0],[1,483,493,1,0]],[[0,2,12,1,0],[0,33,43,1,0],[0,43,53,1,0],[0,53,63,1,0],[0,63,73,1,0],[0,74,84,1,0],[0,96,106,1,0],[0,107,117,1,0],[1,111,120,1,0],[1,120,130,1,0],[0,123,133,1,0],[1,130,140,1,0],[0,136,146,1,0],[1,141,150,1,0],[1,150,160,1,0],[0,151,161,1,0],[1,161,170,1,0],[0,162,172,1,0],[1,173,179,1,0],[0,174,184,1,0],[1,179,189,1,0],[0,188,198,1,0],[1,194,204,1,0],[0,200,210,1,0],[1,206,216,1,0],[0,212,222,1,0],[1,216,226,1,0],[1,226,236,1,0],[0,227,237,1,0],[1,237,247,1,0],[0,238,248,1,0],[1,249,258,1,0],[0,251,261,1,0],[1,262,271,1,0],[0,263,273,1,0],[1,271,280,1,0],[0,275,285,1,0],[1,286,296,1,0],[0,289,299,1,0],[1,298,308,1,0],[0,300,310,1,0],[1,308,317,1,0],[0,310,320,1,0],[1,318,328,1,0],[1,329,339,1,0],[0,333,343,1,0],[1,339,349,1,0],[0,343,353,1,0],[0,353,363,1,0],[1,356,365,1,0],[0,363,373,1,0],[1,368,377,1,0],[1,377,387,1,0],[0,380,390,1,0],[1,387,397,1,0],[0,395,403,1,0],[1,397,407,1,0],[0,403,407,1,0],[1,407,417,1,0],[1,421,430,1,0],[0,431,441,1,0],[1,440,450,1,0],[0,484,490,1,0],[0,506,508,1,0]],[[0,0,10,1,0],[0,23,33,1,0],[0,33,43,1,0],[0,45,55,1,0],[0,55,65,1,0],[0,67,77,1,0],[0,79,89,1,0],[0,89,99,1,0],[0,99,109,1,0],[0,110,120,1,0],[0,121,131,1,0],[0,135,145,1,0],[1,138,147,1,0],[0,153,163,1,0],[0,163,173,1,0],[0,174,184,1,0],[0,184,194,1,0],[1,191,201,1,0],[0,197,207,1,0],[1,201,210,1,0],[0,210,220,1,0],[1,212,222,1,0],[1,223,232,1,0],[0,226,236,1,0],[1,232,242,1,0],[0,236,246,1,0],[0,246,256,1,0],[1,250,260,1,0],[0,259,269,1,0],[0,271,281,1,0],[0,283,293,1,0],[1,287,297,1,0],[0,293,303,1,0],[1,303,313,1,0],[0,304,314,1,0],[1,313,322,1,0],[0,314,324,1,0],[1,324,334,1,0],[0,327,337,1,0],[1,335,345,1,0],[0,337,347,1,0],[1,345,355,1,0],[1,355,364,1,0],[0,357,367,1,0],[1,367,376,1,0],[0,368,374,1,0],[0,374,384,1,0],[1,380,389,1,0],[1,401,410,1,0],[1,410,420,1,0],[1,423,433,1,0],[1,436,446,1,0],[0,441,445,1,0],[1,448,450,1,0],[1,450,459,1,0],[1,460,470,1,0],[1,470,480,1,0],[1,480,489,1,0],[1,489,497,1,0],[1,499,508,1,0],[1,508,517,1,0],[1,517,527,1,0],[1,528,537,1,0],[1,537,546,1,0]],[[0,2,12,1,0],[0,16,26,1,0],[0,26,36,1,0],[0,36,46,1,0],[0,49,59,1,0],[0,64,74,1,0],[0,90,100,1,0],[0,100,110,1,0],[1,109,118,1,0],[0,114,124,1,0],[0,125,135,1,0],[0,137,147,1,0],[0,149,159,1,0],[1,157,167,1,0],[0,162,172,1,0],[1,168,177,1,0],[0,173,183,1,0],[1,177,186,1,0],[1,186,196,1,0],[0,187,197,1,0],[1,200,210,1,0],[0,203,213,1,0],[0,217,227,1,0],[0,227,237,1,0],[0,238,248,1,0],[1,240,250,1,0],[1,250,259,1,0],[0,251,261,1,0],[0,261,271,1,0],[1,263,273,1,0],[0,271,281,1,0],[1,274,283,1,0],[1,283,292,1,0],[0,284,294,1,0],[1,295,304,1,0],[0,296,306,1,0],[1,304,313,1,0],[0,312,322,1,0],[1,316,324,1,0],[0,324,334,1,0],[1,327,337,1,0],[0,335,345,1,0],[0,345,355,1,0],[1,350,359,1,0],[0,355,365,1,0],[0,365,375,1,0],[1,370,380,1,0],[0,377,387,1,0],[1,384,393,1,0],[0,387,397,1,0],[1,393,402,1,0],[1,404,414,1,0],[1,414,424,1,0],[1,424,434,1,0],[1,434,444,1,0],[1,445,455,1,0],[1,458,468,1,0],[1,468,477,1,0],[1,483,493,1,0],[1,493,503,1,0],[1,503,513,1,0],[1,515,525,1,0]],[[0,7,17,1,0],[0,18,28,1,0],[0,28,38,1,0],[0,38,48,1,0],[0,48,56,1,0],[0,65,75,1,0],[0,75,85,1,0],[0,85,95,1,0],[0,105,115,1,0],[1,116,126,1,0],[0,117,119,1,0],[0,119,129,1,0],[0,129,139,1,0],[0,142,152,1,0],[1,146,156,1,0],[0,154,158,1,0],[1,156,165,1,0],[0,160,170,1,0],[0,174,184,1,0],[1,177,186,1,0],[0,184,194,1,0],[1,193,202,1,0],[0,194,204,1,0],[0,205,215,1,0],[1,207,216,1,0],[0,215,225,1,0],[1,219,228,1,0],[0,225,235,1,0],[1,232,241,1,0],[0,240,250,1,0],[1,244,253,1,0],[0,255,261,1,0],[1,261,270,1,0],[0,262,272,1,0],[0,272,282,1,0],[1,275,284,1,0],[0,282,292,1,0],[0,293,303,1,0],[1,297,306,1,0],[0,305,315,1,0],[1,315,324,1,0],[0,324,334,1,0],[0,335,345,1,0],[1,337,347,1,0],[0,349,359,1,0],[0,359,369,1,0],[1,361,371,1,0],[1,371,380,1,0],[0,380,390,1,0],[1,385,394,1,0],[0,390,400,1,0],[1,397,406,1,0],[1,410,420,1,0],[1,426,435,1,0],[1,438,440,1,0],[1,442,451,1,0],[1,458,467,1,0],[1,467,477,1,0],[1,477,486,1,0],[1,486,495,1,0],[1,496,505,1,0],[1,507,516,1,0],[1,516,525,1,0],[1,525,534,1,0],[1,536,545,1,0],[1,545,553,1,0]],[[0,9,19,1,0],[0,28,38,1,0],[0,38,48,1,0],[0,48,58,1,0],[0,64,74,1,0],[0,74,84,1,0],[0,93,103,1,0],[0,108,118,1,0],[0,121,131,1,0],[0,133,143,1,0],[1,144,154,1,0],[0,150,160,1,0],[1,155,164,1,0],[0,160,170,1,0],[1,174,184,1,0],[0,177,187,1,0],[1,184,193,1,0],[0,188,198,1,0],[1,195,204,1,0],[1,204,213,1,0],[0,204,214,1,0],[1,213,222,1,0],[0,214,224,1,0],[0,225,235,1,0],[1,232,242,1,0],[0,238,248,1,0],[1,247,256,1,0],[0,248,258,1,0],[0,261,271,1,0],[1,274,284,1,0],[0,275,285,1,0],[0,285,295,1,0],[1,292,301,1,0],[1,302,311,1,0],[0,307,317,1,0],[1,311,321,1,0],[0,317,327,1,0],[1,325,334,1,0],[0,329,339,1,0],[1,335,344,1,0],[0,342,352,1,0],[1,344,353,1,0],[0,354,364,1,0],[1,357,366,1,0],[0,364,374,1,0],[1,367,376,1,0],[0,374,384,1,0],[1,378,387,1,0],[0,384,394,1,0],[1,387,396,1,0],[1,396,405,1,0],[0,400,410,1,0],[1,405,414,1,0],[0,411,421,1,0],[1,416,425,1,0],[1,425,434,1,0],[1,434,440,1,0],[1,441,450,1,0],[1,453,463,1,0],[1,465,474,1,0],[1,475,484,1,0],[1,484,488,1,0],[1,488,497,1,0],[1,507,516,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,31,41,1,0],[0,41,51,1,0],[0,51,61,1,0],[0,63,73,1,0],[0,79,89,1,0],[0,89,99,1,0],[1,95,105,1,0],[0,103,113,1,0],[0,114,124,1,0],[1,122,132,1,0],[0,125,135,1,0],[1,134,144,1,0],[0,139,149,1,0],[1,149,159,1,0],[0,155,165,1,0],[1,159,169,1,0],[1,169,179,1,0],[0,170,180,1,0],[1,179,189,1,0],[0,180,190,1,0],[1,191,201,1,0],[0,192,202,1,0],[1,203,213,1,0],[0,204,214,1,0],[1,213,223,1,0],[0,217,227,1,0],[0,228,238,1,0],[1,238,248,1,0],[0,239,249,1,0],[1,251,261,1,0],[0,254,264,1,0],[0,264,274,1,0],[0,274,284,1,0],[1,278,288,1,0],[0,284,294,1,0],[1,291,301,1,0],[0,294,304,1,0],[1,303,313,1,0],[0,305,315,1,0],[1,314,324,1,0],[0,315,325,1,0],[1,327,337,1,0],[0,328,338,1,0],[0,338,348,1,0],[1,343,353,1,0],[0,351,361,1,0],[1,354,364,1,0],[0,361,371,1,0],[1,370,380,1,0],[0,373,383,1,0],[1,380,390,1,0],[1,391,401,1,0],[1,402,412,1,0],[1,431,435,1,0],[1,444,454,1,0],[1,457,459,1,0],[1,459,469,1,0],[1,477,487,1,0],[1,487,497,1,0],[1,498,508,1,0]],[[0,11,21,1,0],[0,21,31,1,0],[0,31,41,1,0],[0,43,53,1,0],[0,53,63,1,0],[0,68,78,1,0],[0,91,101,1,0],[1,97,107,1,0],[0,105,115,1,0],[1,111,121,1,0],[0,117,127,1,0],[0,127,137,1,0],[1,131,141,1,0],[1,141,151,1,0],[0,144,148,1,0],[0,148,158,1,0],[1,151,161,1,0],[0,163,173,1,0],[1,166,176,1,0],[0,174,184,1,0],[1,177,187,1,0],[0,184,192,1,0],[1,187,197,1,0],[0,195,205,1,0],[0,206,216,1,0],[1,210,220,1,0],[0,218,228,1,0],[1,227,237,1,0],[0,228,238,1,0],[1,240,250,1,0],[0,241,251,1,0],[1,252,262,1,0],[0,253,263,1,0],[1,262,272,1,0],[0,263,273,1,0],[0,273,283,1,0],[1,286,296,1,0],[0,289,299,1,0],[0,302,312,1,0],[1,304,314,1,0],[0,312,322,1,0],[1,314,324,1,0],[0,322,332,1,0],[1,328,338,1,0],[0,332,342,1,0],[1,339,349,1,0],[0,343,353,1,0],[1,351,361,1,0],[0,353,363,1,0],[1,361,371,1,0],[0,364,374,1,0],[1,379,389,1,0],[0,381,391,1,0],[1,394,404,1,0],[1,404,414,1,0],[0,411,417,1,0],[1,414,418,1,0],[1,421,423,1,0],[1,431,441,1,0],[0,433,435,1,0],[1,446,456,1,0],[1,456,466,1,0],[1,467,477,1,0],[1,477,487,1,0]],[[0,29,39,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,72,82,1,0],[0,82,92,1,0],[0,92,102,1,0],[0,102,112,1,0],[0,113,123,1,0],[0,123,133,1,0],[1,125,135,1,0],[0,134,144,1,0],[1,145,155,1,0],[0,146,156,1,0],[1,155,165,1,0],[0,156,166,1,0],[0,166,176,1,0],[0,177,187,1,0],[0,188,198,1,0],[1,190,200,1,0],[1,200,210,1,0],[0,203,213,1,0],[1,211,221,1,0],[0,213,223,1,0],[1,223,233,1,0],[0,226,236,1,0],[1,234,244,1,0],[0,236,246,1,0],[0,246,256,1,0],[1,252,262,1,0],[0,260,270,1,0],[1,263,273,1,0],[0,272,282,1,0],[1,277,287,1,0],[0,287,297,1,0],[1,299,309,1,0],[0,299,309,1,0],[1,315,325,1,0],[0,318,328,1,0],[0,328,338,1,0],[1,333,343,1,0],[0,338,348,1,0],[0,348,352,1,0],[1,351,360,1,0],[0,352,362,1,0],[1,363,373,1,0],[1,377,387,1,0],[0,378,386,1,0],[0,386,388,1,0],[1,389,399,1,0],[0,391,401,1,0],[1,406,416,1,0],[0,409,415,1,0],[1,416,421,1,0],[1,421,430,1,0],[1,435,444,1,0],[1,444,454,1,0],[1,454,464,1,0],[1,465,474,1,0],[1,474,484,1,0],[1,484,494,1,0],[1,495,505,1,0],[1,505,514,1,0],[1,514,520,1,0]],[[0,3,13,1,0],[0,15,25,1,0],[0,25,35,1,0],[0,35,45,1,0],[0,49,59,1,0],[0,64,74,1,0],[0,83,93,1,0],[0,95,105,1,0],[0,113,123,1,0],[1,121,131,1,0],[0,123,133,1,0],[1,131,141,1,0],[1,141,151,1,0],[0,146,156,1,0],[1,151,161,1,0],[0,156,166,1,0],[1,163,173,1,0],[0,168,178,1,0],[1,173,183,1,0],[0,178,188,1,0],[0,191,201,1,0],[1,195,205,1,0],[0,201,211,1,0],[1,209,219,1,0],[1,219,229,1,0],[0,223,233,1,0],[1,230,239,1,0],[0,235,245,1,0],[1,239,249,1,0],[0,245,255,1,0],[0,257,267,1,0],[1,265,275,1,0],[0,267,277,1,0],[1,278,287,1,0],[1,289,299,1,0],[0,290,300,1,0],[0,302,312,1,0],[1,309,319,1,0],[0,312,322,1,0],[1,321,331,1,0],[0,322,332,1,0],[1,331,341,1,0],[0,332,342,1,0],[1,343,345,1,0],[0,344,354,1,0],[1,346,356,1,0],[1,356,366,1,0],[0,358,368,1,0],[1,367,377,1,0],[0,368,378,1,0],[1,379,389,1,0],[0,381,391,1,0],[1,389,399,1,0],[0,391,401,1,0],[1,399,409,1,0],[0,406,416,1,0],[1,410,419,1,0],[1,422,431,1,0],[1,436,444,1,0],[1,446,456,1,0],[1,459,469,1,0],[1,472,482,1,0]],[[0,0,10,1,0],[0,12,22,1,0],[0,28,38,1,0],[0,38,48,1,0],[0,48,58,1,0],[0,63,73,1,0],[0,80,90,1,0],[0,91,101,1,0],[1,96,105,1,0],[0,103,113,1,0],[1,105,114,1,0],[1,117,127,1,0],[0,118,128,1,0],[1,129,138,1,0],[0,130,140,1,0],[1,138,147,1,0],[0,143,153,1,0],[1,150,159,1,0],[0,153,163,1,0],[1,159,168,1,0],[0,165,175,1,0],[1,168,178,1,0],[0,175,185,1,0],[1,178,188,1,0],[1,189,199,1,0],[0,190,200,1,0],[1,199,208,1,0],[0,201,211,1,0],[1,209,218,1,0],[0,211,221,1,0],[1,218,228,1,0],[0,226,236,1,0],[1,233,242,1,0],[0,237,247,1,0],[1,242,251,1,0],[0,250,260,1,0],[1,254,263,1,0],[0,261,271,1,0],[1,265,274,1,0],[0,271,281,1,0],[1,280,290,1,0],[0,282,292,1,0],[1,293,297,1,0],[0,294,304,1,0],[1,297,307,1,0],[1,310,319,1,0],[0,312,322,1,0],[1,319,328,1,0],[0,322,332,1,0],[1,333,342,1,0],[0,334,344,1,0],[1,342,351,1,0],[0,346,356,1,0],[1,351,361,1,0],[0,358,368,1,0],[1,362,371,1,0],[0,368,378,1,0],[1,372,382,1,0],[0,380,390,1,0],[1,382,392,1,0],[1,398,408,1,0],[1,415,425,1,0],[1,430,439,1,0]],[[0,17,27,1,0],[0,31,41,1,0],[0,41,51,1,0],[0,51,61,1,0],[0,64,74,1,0],[0,75,79,1,0],[0,87,97,1,0],[1,95,104,1,0],[0,99,109,1,0],[1,104,113,1,0],[0,111,121,1,0],[1,117,127,1,0],[0,121,131,1,0],[1,127,137,1,0],[1,138,147,1,0],[0,139,149,1,0],[1,147,156,1,0],[0,149,159,1,0],[1,156,165,1,0],[0,162,172,1,0],[1,165,175,1,0],[1,176,185,1,0],[1,186,195,1,0],[0,187,189,1,0],[0,189,199,1,0],[1,195,204,1,0],[0,199,209,1,0],[1,204,214,1,0],[0,210,220,1,0],[1,214,224,1,0],[0,220,230,1,0],[1,225,235,1,0],[0,231,241,1,0],[1,235,245,1,0],[0,243,253,1,0],[1,245,255,1,0],[0,255,265,1,0],[1,258,267,1,0],[0,266,276,1,0],[1,270,277,1,0],[1,286,295,1,0],[0,287,297,1,0],[1,297,306,1,0],[0,298,308,1,0],[1,311,320,1,0],[0,312,318,1,0],[0,318,328,1,0],[1,329,339,1,0],[0,330,340,1,0],[1,342,351,1,0],[0,344,354,1,0],[0,354,364,1,0],[1,357,366,1,0],[1,370,379,1,0],[0,373,383,1,0],[1,385,395,1,0],[0,386,396,1,0],[1,395,404,1,0],[0,400,410,1,0],[1,408,417,1,0],[0,424,434,1,0],[1,432,441,1,0],[1,450,459,1,0]],[[0,17,27,1,0],[0,27,37,1,0],[0,37,47,1,0],[0,47,57,1,0],[0,57,67,1,0],[0,67,77,1,0],[0,81,91,1,0],[1,95,105,1,0],[0,96,106,1,0],[1,105,115,1,0],[0,106,116,1,0],[1,115,125,1,0],[0,117,127,1,0],[1,125,134,1,0],[0,129,139,1,0],[1,134,143,1,0],[0,141,151,1,0],[1,143,149,1,0],[1,149,159,1,0],[0,151,161,1,0],[1,159,169,1,0],[0,161,171,1,0],[1,169,179,1,0],[0,173,183,1,0],[1,183,192,1,0],[0,186,196,1,0],[1,194,204,1,0],[0,196,206,1,0],[1,204,213,1,0],[0,211,221,1,0],[1,215,225,1,0],[0,221,231,1,0],[1,228,238,1,0],[0,235,245,1,0],[1,238,248,1,0],[1,248,258,1,0],[0,249,259,1,0],[0,259,269,1,0],[1,266,275,1,0],[0,269,279,1,0],[1,278,287,1,0],[0,281,291,1,0],[1,289,299,1,0],[0,291,301,1,0],[1,299,309,1,0],[0,305,315,1,0],[1,309,319,1,0],[0,317,327,1,0],[1,321,331,1,0],[1,332,342,1,0],[0,334,340,1,0],[0,340,350,1,0],[1,342,352,1,0],[1,355,365,1,0],[0,357,361,1,0],[0,363,371,1,0],[1,367,377,1,0],[0,371,373,1,0],[0,374,384,1,0],[1,377,387,1,0],[0,384,394,1,0],[1,387,393,1,0],[1,393,403,1,0],[1,406,416,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,36,46,1,0],[0,46,56,1,0],[0,56,66,1,0],[0,75,85,1,0],[0,88,98,1,0],[1,95,105,1,0],[0,101,111,1,0],[1,105,115,1,0],[0,114,124,1,0],[1,118,128,1,0],[1,128,138,1,0],[1,138,147,1,0],[0,139,149,1,0],[1,148,158,1,0],[0,151,161,1,0],[1,159,168,1,0],[0,163,173,1,0],[1,171,180,1,0],[0,173,183,1,0],[1,180,190,1,0],[0,183,193,1,0],[0,195,205,1,0],[1,197,207,1,0],[0,206,216,1,0],[1,211,221,1,0],[0,218,228,1,0],[1,221,231,1,0],[1,231,241,1,0],[0,241,251,1,0],[1,242,252,1,0],[1,252,262,1,0],[0,253,263,1,0],[1,266,275,1,0],[0,267,277,1,0],[1,279,288,1,0],[0,280,290,1,0],[0,290,300,1,0],[1,292,296,1,0],[1,296,306,1,0],[0,300,310,1,0],[0,312,322,1,0],[1,314,324,1,0],[0,322,332,1,0],[1,327,337,1,0],[0,332,342,1,0],[1,345,355,1,0],[0,346,356,1,0],[1,355,364,1,0],[0,356,366,1,0],[1,366,376,1,0],[0,376,386,1,0],[1,378,388,1,0],[0,386,396,1,0],[1,388,398,1,0],[0,396,406,1,0],[1,399,409,1,0],[1,418,428,1,0],[1,428,437,1,0],[1,443,452,1,0]],[[0,0,10,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,54,64,1,0],[0,74,84,1,0],[0,84,94,1,0],[0,94,104,1,0],[1,96,105,1,0],[1,109,119,1,0],[0,110,120,1,0],[1,119,129,1,0],[0,122,132,1,0],[1,129,138,1,0],[0,134,144,1,0],[1,143,153,1,0],[0,144,154,1,0],[1,154,163,1,0],[0,157,167,1,0],[1,164,173,1,0],[0,170,180,1,0],[1,182,191,1,0],[0,185,195,1,0],[0,197,207,1,0],[1,201,211,1,0],[0,209,219,1,0],[1,214,223,1,0],[0,219,229,1,0],[1,230,240,1,0],[0,232,242,1,0],[1,240,249,1,0],[0,242,252,1,0],[1,249,259,1,0],[0,252,262,1,0],[1,266,276,1,0],[0,267,277,1,0],[1,276,285,1,0],[0,277,287,1,0],[1,285,294,1,0],[0,287,297,1,0],[1,297,306,1,0],[0,298,308,1,0],[1,308,317,1,0],[0,309,319,1,0],[1,318,328,1,0],[1,329,338,1,0],[0,331,341,1,0],[0,341,351,1,0],[1,348,358,1,0],[0,351,361,1,0],[1,358,366,1,0],[0,361,371,1,0],[1,368,377,1,0],[1,377,386,1,0],[0,380,390,1,0],[1,386,395,1,0],[1,402,411,1,0],[1,411,421,1,0],[1,427,437,1,0],[1,437,447,1,0],[1,447,451,1,0],[1,458,468,1,0]],[[0,7,17,1,0],[0,17,27,1,0],[0,27,37,1,0],[0,37,41,1,0],[0,41,49,1,0],[0,49,59,1,0],[0,62,72,1,0],[0,78,88,1,0],[0,89,99,1,0],[1,95,105,1,0],[0,101,111,1,0],[1,105,115,1,0],[1,119,129,1,0],[0,119,129,1,0],[0,130,140,1,0],[1,150,160,1,0],[0,151,161,1,0],[0,161,171,1,0],[1,166,176,1,0],[0,171,181,1,0],[1,181,191,1,0],[0,186,196,1,0],[0,200,210,1,0],[1,208,218,1,0],[0,211,221,1,0],[0,221,231,1,0],[1,223,232,1,0],[0,234,244,1,0],[1,240,249,1,0],[0,248,258,1,0],[1,258,268,1,0],[0,262,272,1,0],[0,274,284,1,0],[1,283,293,1,0],[0,286,296,1,0],[1,297,307,1,0],[0,298,308,1,0],[0,312,322,1,0],[1,317,327,1,0],[0,324,334,1,0],[1,327,337,1,0],[0,342,352,1,0],[1,349,358,1,0],[0,357,359,1,0],[0,359,369,1,0],[1,362,372,1,0],[0,371,381,1,0],[1,379,388,1,0],[0,384,394,1,0],[1,389,398,1,0],[0,395,405,1,0],[1,403,412,1,0],[1,412,421,1,0],[1,421,430,1,0],[1,430,439,1,0],[1,439,448,1,0],[0,441,447,1,0],[1,449,458,1,0],[1,458,467,1,0],[1,467,476,1,0],[1,476,486,1,0],[1,487,496,1,0],[1,496,501,1,0],[1,501,510,1,0],[1,510,516,1,0]],[[0,10,20,1,0],[0,20,30,1,0],[0,30,40,1,0],[0,40,50,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,76,86,1,0],[0,86,96,1,0],[1,97,106,1,0],[0,98,108,1,0],[0,108,118,1,0],[1,121,131,1,0],[0,122,132,1,0],[1,133,143,1,0],[0,135,145,1,0],[1,143,152,1,0],[0,145,155,1,0],[0,155,165,1,0],[0,167,177,1,0],[1,176,184,1,0],[0,179,189,1,0],[1,185,194,1,0],[0,190,200,1,0],[1,195,204,1,0],[1,204,213,1,0],[0,205,215,1,0],[0,216,226,1,0],[1,219,228,1,0],[0,226,236,1,0],[1,232,241,1,0],[0,236,246,1,0],[1,241,251,1,0],[0,249,259,1,0],[1,254,263,1,0],[0,262,272,1,0],[1,267,276,1,0],[0,272,282,1,0],[1,283,292,1,0],[0,284,294,1,0],[1,292,302,1,0],[0,294,304,1,0],[1,303,312,1,0],[0,307,317,1,0],[1,313,322,1,0],[0,317,327,1,0],[1,323,332,1,0],[1,335,345,1,0],[0,336,346,1,0],[1,345,354,1,0],[0,346,356,1,0],[1,354,363,1,0],[0,356,366,1,0],[1,363,372,1,0],[1,372,381,1,0],[0,375,385,1,0],[1,383,392,1,0],[1,397,406,1,0],[1,410,419,1,0],[1,419,428,1,0],[1,433,442,1,0],[1,449,458,1,0],[1,458,468,1,0],[1,468,477,1,0],[1,480,482,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,30,40,1,0],[0,40,50,1,0],[0,50,60,1,0],[0,63,73,1,0],[0,88,98,1,0],[1,96,106,1,0],[0,99,109,1,0],[0,114,124,1,0],[0,124,134,1,0],[1,133,143,1,0],[0,137,147,1,0],[1,143,152,1,0],[0,148,158,1,0],[1,156,165,1,0],[0,161,171,1,0],[1,167,176,1,0],[0,171,181,1,0],[1,192,202,1,0],[0,193,203,1,0],[0,203,213,1,0],[1,210,220,1,0],[0,213,223,1,0],[1,220,229,1,0],[0,223,233,1,0],[1,230,239,1,0],[0,236,246,1,0],[1,245,254,1,0],[0,246,256,1,0],[1,254,263,1,0],[0,261,271,1,0],[1,263,272,1,0],[0,273,283,1,0],[1,282,291,1,0],[0,284,294,1,0],[1,292,301,1,0],[0,298,308,1,0],[1,304,313,1,0],[0,312,322,1,0],[1,316,326,1,0],[0,322,332,1,0],[1,326,335,1,0],[0,332,342,1,0],[1,338,348,1,0],[0,351,361,1,0],[1,353,363,1,0],[0,361,371,1,0],[1,366,375,1,0],[0,373,383,1,0],[0,383,393,1,0],[1,386,395,1,0],[1,395,404,1,0],[1,404,413,1,0],[1,415,424,1,0],[1,424,433,1,0],[1,433,442,1,0],[1,444,453,1,0],[1,453,462,1,0],[1,462,471,1,0],[1,471,480,1,0],[1,481,490,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,30,40,1,0],[0,40,50,1,0],[0,50,60,1,0],[0,72,82,1,0],[0,82,92,1,0],[0,92,102,1,0],[1,96,106,1,0],[0,102,112,1,0],[0,115,125,1,0],[1,117,127,1,0],[0,125,135,1,0],[1,142,152,1,0],[0,142,152,1,0],[1,152,162,1,0],[0,154,164,1,0],[1,162,172,1,0],[0,164,174,1,0],[1,172,182,1,0],[0,175,185,1,0],[1,182,192,1,0],[0,187,197,1,0],[1,198,208,1,0],[0,199,209,1,0],[1,208,218,1,0],[0,210,220,1,0],[1,218,228,1,0],[0,220,230,1,0],[1,228,238,1,0],[0,231,241,1,0],[0,246,256,1,0],[1,253,263,1,0],[0,257,267,1,0],[1,264,274,1,0],[0,274,284,1,0],[1,276,286,1,0],[1,286,296,1,0],[0,287,297,1,0],[1,298,308,1,0],[0,302,312,1,0],[1,311,321,1,0],[0,312,318,1,0],[0,318,328,1,0],[1,321,331,1,0],[0,328,338,1,0],[1,333,343,1,0],[0,338,348,1,0],[1,343,353,1,0],[0,348,358,1,0],[0,358,368,1,0],[1,359,367,1,0],[1,367,377,1,0],[1,385,395,1,0],[1,395,405,1,0],[1,408,418,1,0],[0,424,428,1,0],[1,426,436,1,0],[1,436,444,1,0],[1,445,455,1,0],[1,455,465,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,30,40,1,0],[0,40,48,1,0],[0,54,64,1,0],[0,64,68,1,0],[0,77,87,1,0],[0,87,97,1,0],[1,96,106,1,0],[0,98,108,1,0],[0,112,114,1,0],[0,115,125,1,0],[1,118,128,1,0],[0,126,136,1,0],[1,133,143,1,0],[0,139,149,1,0],[1,143,153,1,0],[0,157,167,1,0],[1,160,170,1,0],[0,167,177,1,0],[1,170,180,1,0],[0,177,187,1,0],[1,180,190,1,0],[0,188,198,1,0],[1,191,201,1,0],[1,203,213,1,0],[0,209,219,1,0],[1,213,223,1,0],[0,221,231,1,0],[1,227,237,1,0],[0,231,241,1,0],[1,237,247,1,0],[0,241,251,1,0],[1,247,253,1,0],[0,251,261,1,0],[1,258,268,1,0],[0,262,272,1,0],[1,268,278,1,0],[0,276,286,1,0],[1,279,289,1,0],[1,292,302,1,0],[0,293,303,1,0],[0,304,314,1,0],[1,307,317,1,0],[0,318,328,1,0],[1,320,330,1,0],[0,330,340,1,0],[1,338,348,1,0],[0,345,355,1,0],[1,349,359,1,0],[0,355,365,1,0],[1,359,369,1,0],[1,373,383,1,0],[0,376,386,1,0],[1,384,394,1,0],[0,386,396,1,0],[1,394,404,1,0],[0,402,408,1,0],[1,407,417,1,0],[1,418,428,1,0],[1,428,438,1,0],[1,438,448,1,0]],[[0,5,15,1,0],[0,15,25,1,0],[0,25,35,1,0],[0,36,46,1,0],[0,47,57,1,0],[0,57,67,1,0],[0,68,78,1,0],[0,79,89,1,0],[0,92,102,1,0],[1,95,104,1,0],[0,102,112,1,0],[1,104,114,1,0],[0,113,123,1,0],[0,125,135,1,0],[1,129,139,1,0],[0,136,146,1,0],[1,145,155,1,0],[0,148,158,1,0],[1,156,166,1,0],[0,165,175,1,0],[1,169,179,1,0],[0,175,185,1,0],[1,182,191,1,0],[0,185,195,1,0],[1,191,200,1,0],[0,195,205,1,0],[1,206,216,1,0],[0,207,217,1,0],[1,216,225,1,0],[0,220,230,1,0],[1,227,237,1,0],[0,230,240,1,0],[1,237,246,1,0],[0,245,255,1,0],[1,248,258,1,0],[0,255,265,1,0],[1,266,276,1,0],[0,267,277,1,0],[1,276,285,1,0],[0,279,289,1,0],[1,287,296,1,0],[0,289,299,1,0],[1,296,298,1,0],[0,299,309,1,0],[1,304,313,1,0],[1,313,323,1,0],[0,317,327,1,0],[1,323,333,1,0],[0,327,337,1,0],[1,333,343,1,0],[0,338,348,1,0],[1,343,353,1,0],[0,348,358,1,0],[1,354,364,1,0],[1,366,376,1,0],[0,367,377,1,0],[1,376,386,1,0],[1,386,396,1,0],[1,396,406,1,0],[1,408,418,1,0],[1,426,436,1,0],[1,438,448,1,0],[1,448,450,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,31,41,1,0],[0,41,51,1,0],[0,55,65,1,0],[0,65,75,1,0],[0,77,87,1,0],[0,88,98,1,0],[1,96,106,1,0],[0,98,108,1,0],[0,108,118,1,0],[1,124,134,1,0],[0,128,138,1,0],[1,137,146,1,0],[0,143,153,1,0],[1,148,158,1,0],[0,153,163,1,0],[1,158,167,1,0],[1,169,179,1,0],[0,170,180,1,0],[1,180,189,1,0],[0,183,193,1,0],[0,194,204,1,0],[1,197,207,1,0],[0,204,214,1,0],[1,208,218,1,0],[0,214,224,1,0],[1,221,231,1,0],[0,224,228,1,0],[0,228,238,1,0],[1,231,241,1,0],[1,241,250,1,0],[0,242,252,1,0],[1,252,261,1,0],[0,254,264,1,0],[1,261,270,1,0],[0,264,274,1,0],[1,270,280,1,0],[0,275,285,1,0],[1,280,290,1,0],[0,289,299,1,0],[1,291,301,1,0],[1,303,313,1,0],[0,304,314,1,0],[0,320,330,1,0],[1,325,333,1,0],[1,335,345,1,0],[0,336,344,1,0],[0,344,354,1,0],[1,347,357,1,0],[1,357,367,1,0],[0,362,372,1,0],[1,367,377,1,0],[1,382,392,1,0],[0,384,390,1,0],[1,392,402,1,0],[0,395,405,1,0],[1,406,416,1,0],[0,407,409,1,0],[1,416,426,1,0],[1,440,450,1,0],[1,452,462,1,0],[1,462,466,1,0]],[[0,0,10,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,64,74,1,0],[0,74,84,1,0],[0,84,94,1,0],[0,94,104,1,0],[1,96,105,1,0],[0,106,116,1,0],[1,108,118,1,0],[1,118,128,1,0],[0,121,131,1,0],[1,129,138,1,0],[0,131,141,1,0],[1,138,148,1,0],[0,143,153,1,0],[1,148,157,1,0],[1,157,166,1,0],[0,158,168,1,0],[1,166,175,1,0],[0,168,178,1,0],[1,176,185,1,0],[0,178,188,1,0],[1,185,194,1,0],[0,191,197,1,0],[1,194,204,1,0],[0,199,209,1,0],[1,204,213,1,0],[0,209,219,1,0],[1,219,228,1,0],[0,220,230,1,0],[0,231,241,1,0],[1,236,245,1,0],[0,243,253,1,0],[1,250,257,1,0],[0,254,264,1,0],[1,257,267,1,0],[0,266,268,1,0],[0,268,278,1,0],[1,271,280,1,0],[1,280,290,1,0],[0,283,293,1,0],[1,292,301,1,0],[0,298,308,1,0],[1,301,311,1,0],[0,308,318,1,0],[1,311,321,1,0],[1,321,331,1,0],[0,324,334,1,0],[1,333,343,1,0],[1,347,356,1,0],[0,349,357,1,0],[1,356,366,1,0],[0,359,369,1,0],[1,366,375,1,0],[0,375,379,1,0],[1,379,388,1,0],[1,388,398,1,0],[0,393,403,1,0],[1,400,404,1,0],[1,413,423,1,0],[1,425,435,1,0]],[[0,0,10,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,54,64,1,0],[0,64,74,1,0],[0,74,84,1,0],[0,84,94,1,0],[0,94,104,1,0],[1,96,105,1,0],[0,104,114,1,0],[1,111,121,1,0],[0,120,130,1,0],[1,123,133,1,0],[0,131,141,1,0],[1,138,147,1,0],[0,141,151,1,0],[1,152,161,1,0],[1,161,171,1,0],[0,162,172,1,0],[1,173,183,1,0],[0,174,184,1,0],[1,183,193,1,0],[0,184,194,1,0],[1,193,194,1,0],[1,196,206,1,0],[0,199,209,1,0],[0,209,219,1,0],[1,212,221,1,0],[0,219,229,1,0],[1,224,233,1,0],[0,233,243,1,0],[1,234,243,1,0],[1,243,253,1,0],[0,244,254,1,0],[1,255,264,1,0],[0,256,266,1,0],[1,264,273,1,0],[0,268,278,1,0],[1,274,283,1,0],[0,285,295,1,0],[1,288,297,1,0],[1,302,311,1,0],[0,303,313,1,0],[0,315,325,1,0],[1,321,330,1,0],[0,327,337,1,0],[1,333,335,1,0],[1,335,345,1,0],[0,337,347,1,0],[1,348,357,1,0],[0,351,361,1,0],[1,364,374,1,0],[0,368,378,1,0],[1,382,391,1,0],[1,391,400,1,0],[0,393,403,1,0],[1,408,418,1,0],[1,420,430,1,0],[1,430,439,1,0],[1,439,449,1,0],[1,449,459,1,0],[1,459,468,1,0]],[[0,2,12,1,0],[0,14,24,1,0],[0,24,34,1,0],[0,34,44,1,0],[0,44,54,1,0],[0,54,64,1,0],[0,64,74,1,0],[0,74,84,1,0],[0,84,94,1,0],[1,95,105,1,0],[0,99,109,1,0],[0,110,120,1,0],[1,113,123,1,0],[0,120,130,1,0],[1,123,132,1,0],[0,131,141,1,0],[1,137,147,1,0],[0,141,151,1,0],[1,151,161,1,0],[0,152,162,1,0],[1,161,171,1,0],[0,163,173,1,0],[1,171,181,1,0],[0,175,185,1,0],[1,181,191,1,0],[0,188,198,1,0],[1,191,201,1,0],[0,198,208,1,0],[1,201,210,1,0],[1,210,220,1,0],[0,214,224,1,0],[1,220,229,1,0],[0,224,234,1,0],[1,233,243,1,0],[0,237,247,1,0],[1,243,253,1,0],[0,248,258,1,0],[1,253,263,1,0],[0,260,270,1,0],[1,263,273,1,0],[0,270,280,1,0],[1,275,285,1,0],[0,280,290,1,0],[1,285,295,1,0],[0,290,300,1,0],[1,295,305,1,0],[0,303,313,1,0],[1,305,315,1,0],[1,315,325,1,0],[1,325,335,1,0],[0,326,336,1,0],[0,337,347,1,0],[1,340,350,1,0],[1,350,360,1,0],[0,351,361,1,0],[1,360,370,1,0],[0,361,371,1,0],[1,371,381,1,0],[1,381,391,1,0],[1,394,403,1,0],[1,403,413,1,0]],[[0,2,12,1,0],[0,12,16,1,0],[0,16,24,1,0],[0,28,38,1,0],[0,38,48,1,0],[0,48,58,1,0],[0,58,68,1,0],[0,68,78,1,0],[0,78,88,1,0],[0,88,98,1,0],[1,95,105,1,0],[0,100,110,1,0],[0,110,120,1,0],[1,121,131,1,0],[0,122,132,1,0],[1,134,144,1,0],[0,135,145,1,0],[1,146,155,1,0],[0,147,157,1,0],[1,155,164,1,0],[0,157,167,1,0],[0,167,177,1,0],[1,170,179,1,0],[1,179,188,1,0],[0,182,192,1,0],[1,193,203,1,0],[0,199,209,1,0],[1,203,213,1,0],[0,210,220,1,0],[1,218,228,1,0],[0,226,236,1,0],[1,228,238,1,0],[0,236,246,1,0],[1,239,249,1,0],[0,246,256,1,0],[1,249,259,1,0],[1,260,270,1,0],[0,261,271,1,0],[1,271,281,1,0],[0,281,291,1,0],[1,283,286,1,0],[1,286,296,1,0],[0,291,301,1,0],[1,296,306,1,0],[0,301,311,1,0],[1,313,323,1,0],[0,316,326,1,0],[1,324,334,1,0],[0,330,340,1,0],[1,338,348,1,0],[0,343,349,1,0],[1,350,360,1,0],[0,353,363,1,0],[1,360,370,1,0],[0,363,373,1,0],[1,370,379,1,0],[1,379,389,1,0],[1,389,399,1,0],[0,390,400,1,0],[1,399,409,1,0],[0,400,402,1,0],[1,409,419,1,0],[1,423,431,1,0],[1,436,446,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,30,40,1,0],[0,40,50,1,0],[0,50,60,1,0],[0,60,70,1,0],[0,74,84,1,0],[0,85,91,1,0],[0,91,101,1,0],[1,96,106,1,0],[0,101,111,1,0],[0,111,113,1,0],[0,113,123,1,0],[1,118,128,1,0],[0,123,133,1,0],[1,130,139,1,0],[0,133,143,1,0],[1,139,148,1,0],[1,148,158,1,0],[0,149,159,1,0],[1,158,167,1,0],[0,160,170,1,0],[1,167,176,1,0],[0,170,180,1,0],[1,178,187,1,0],[0,183,193,1,0],[1,190,200,1,0],[0,193,203,1,0],[1,200,209,1,0],[0,205,215,1,0],[1,212,221,1,0],[0,217,227,1,0],[1,222,231,1,0],[0,227,237,1,0],[1,231,240,1,0],[0,239,249,1,0],[1,241,251,1,0],[1,253,263,1,0],[0,254,264,1,0],[1,263,273,1,0],[0,269,279,1,0],[1,275,285,1,0],[0,279,289,1,0],[1,286,296,1,0],[0,295,305,1,0],[1,298,308,1,0],[1,310,319,1,0],[0,312,322,1,0],[0,322,332,1,0],[1,325,335,1,0],[0,338,346,1,0],[1,341,346,1,0],[1,346,355,1,0],[0,347,357,1,0],[1,357,366,1,0],[1,366,375,1,0],[0,369,373,1,0],[0,373,383,1,0],[1,375,384,1,0],[1,385,394,1,0],[1,401,410,1,0],[1,412,421,1,0],[1,421,430,1,0],[1,439,448,1,0]],[[0,3,13,1,0],[0,13,23,1,0],[0,25,35,1,0],[0,35,45,1,0],[0,45,55,1,0],[0,55,65,1,0],[0,65,75,1,0],[0,75,85,1,0],[0,85,95,1,0],[1,95,105,1,0],[0,100,110,1,0],[0,110,120,1,0],[1,118,128,1,0],[0,122,132,1,0],[1,128,137,1,0],[0,132,142,1,0],[1,142,152,1,0],[0,143,153,1,0],[0,153,163,1,0],[1,157,167,1,0],[0,163,173,1,0],[1,172,181,1,0],[0,173,183,1,0],[1,183,192,1,0],[0,186,196,1,0],[1,193,203,1,0],[1,203,213,1,0],[0,204,214,1,0],[1,213,222,1,0],[0,214,224,1,0],[1,222,231,1,0],[0,224,234,1,0],[1,234,243,1,0],[0,238,248,1,0],[1,244,253,1,0],[0,250,260,1,0],[1,254,264,1,0],[1,266,276,1,0],[0,267,277,1,0],[1,278,288,1,0],[0,279,289,1,0],[1,291,301,1,0],[0,292,302,1,0],[1,301,310,1,0],[1,310,320,1,0],[0,312,322,1,0],[1,320,330,1,0],[0,322,332,1,0],[1,334,343,1,0],[0,335,345,1,0],[1,346,355,1,0],[0,347,357,1,0],[1,357,366,1,0],[0,358,368,1,0],[1,368,377,1,0],[1,379,388,1,0],[0,385,395,1,0],[1,388,397,1,0],[1,397,399,1,0],[1,405,414,1,0],[1,418,427,1,0],[1,436,445,1,0],[1,445,454,1,0],[1,461,463,1,0]],[[0,0,10,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,34,44,1,0],[0,44,54,1,0],[0,57,67,1,0],[0,67,77,1,0],[0,77,87,1,0],[0,87,97,1,0],[1,96,105,1,0],[0,97,107,1,0],[1,105,114,1,0],[0,108,118,1,0],[1,118,127,1,0],[0,119,129,1,0],[1,127,136,1,0],[0,130,140,1,0],[0,140,150,1,0],[1,141,150,1,0],[1,150,159,1,0],[0,153,163,1,0],[1,160,169,1,0],[0,163,173,1,0],[1,169,178,1,0],[0,173,183,1,0],[1,179,188,1,0],[0,184,194,1,0],[1,188,197,1,0],[1,197,206,1,0],[0,198,208,1,0],[0,208,218,1,0],[1,216,220,1,0],[0,218,228,1,0],[1,223,232,1,0],[0,228,238,1,0],[1,233,242,1,0],[0,238,248,1,0],[1,242,252,1,0],[1,252,261,1,0],[0,256,266,1,0],[1,264,273,1,0],[0,266,276,1,0],[1,277,286,1,0],[0,283,293,1,0],[1,286,296,1,0],[0,293,303,1,0],[1,296,306,1,0],[0,304,314,1,0],[1,306,316,1,0],[0,314,324,1,0],[1,318,328,1,0],[1,329,338,1,0],[0,332,342,1,0],[1,338,347,1,0],[0,342,352,1,0],[1,349,355,1,0],[0,352,362,1,0],[1,355,365,1,0],[1,365,374,1,0],[1,376,385,1,0],[1,385,394,1,0],[1,397,406,1,0],[1,407,416,1,0],[1,416,425,1,0]],[[0,0,10,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,53,63,1,0],[0,65,75,1,0],[0,77,87,1,0],[0,89,99,1,0],[1,96,105,1,0],[0,99,109,1,0],[0,112,122,1,0],[0,122,132,1,0],[0,132,142,1,0],[1,134,140,1,0],[0,142,152,1,0],[1,146,155,1,0],[0,153,163,1,0],[1,158,167,1,0],[0,163,173,1,0],[1,170,179,1,0],[0,173,183,1,0],[1,182,191,1,0],[0,183,193,1,0],[1,195,204,1,0],[0,198,208,1,0],[1,205,215,1,0],[0,209,219,1,0],[0,219,229,1,0],[1,224,234,1,0],[0,231,241,1,0],[1,241,250,1,0],[0,244,254,1,0],[1,253,262,1,0],[1,263,272,1,0],[0,266,276,1,0],[1,276,285,1,0],[0,276,284,1,0],[0,284,294,1,0],[1,287,296,1,0],[0,296,300,1,0],[1,301,311,1,0],[0,302,304,1,0],[0,305,311,1,0],[1,312,321,1,0],[0,318,328,1,0],[1,321,330,1,0],[0,328,338,1,0],[1,337,347,1,0],[0,338,348,1,0],[0,349,359,1,0],[1,357,366,1,0],[1,367,377,1,0],[0,373,383,1,0],[1,377,386,1,0],[1,389,398,1,0],[1,398,407,1,0],[1,409,418,1,0],[1,418,427,1,0],[1,427,437,1,0],[1,437,446,1,0],[1,446,455,1,0],[1,455,464,1,0],[1,464,473,1,0],[1,473,482,1,0],[1,482,486,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,30,40,1,0],[0,40,50,1,0],[0,53,63,1,0],[0,63,73,1,0],[0,73,83,1,0],[0,83,93,1,0],[0,94,104,1,0],[1,96,106,1,0],[0,106,116,1,0],[1,111,121,1,0],[0,116,126,1,0],[1,123,133,1,0],[0,126,134,1,0],[0,134,144,1,0],[1,136,146,1,0],[0,144,154,1,0],[1,149,159,1,0],[0,154,164,1,0],[1,159,169,1,0],[0,167,177,1,0],[0,177,183,1,0],[0,183,193,1,0],[1,185,187,1,0],[1,187,197,1,0],[0,193,203,1,0],[1,199,209,1,0],[0,203,213,1,0],[1,216,226,1,0],[0,225,235,1,0],[1,230,240,1,0],[0,236,246,1,0],[1,240,250,1,0],[0,246,248,1,0],[0,248,258,1,0],[1,250,260,1,0],[0,258,268,1,0],[1,260,270,1,0],[0,269,279,1,0],[1,273,283,1,0],[1,283,293,1,0],[0,285,295,1,0],[1,293,303,1,0],[0,300,310,1,0],[1,305,315,1,0],[0,316,320,1,0],[1,318,328,1,0],[0,322,332,1,0],[1,329,339,1,0],[0,332,342,1,0],[1,339,349,1,0],[0,344,354,1,0],[1,356,366,1,0],[0,366,376,1,0],[1,368,378,1,0],[1,378,382,1,0],[1,382,392,1,0],[1,392,402,1,0],[1,405,415,1,0],[1,415,425,1,0],[1,425,435,1,0],[1,436,446,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,74,84,1,0],[0,84,94,1,0],[0,94,104,1,0],[1,96,106,1,0],[0,104,114,1,0],[1,115,125,1,0],[0,116,126,1,0],[0,126,136,1,0],[1,128,138,1,0],[0,136,146,1,0],[1,139,149,1,0],[0,146,156,1,0],[1,150,160,1,0],[0,156,166,1,0],[1,160,170,1,0],[0,166,176,1,0],[1,172,182,1,0],[0,176,186,1,0],[1,182,192,1,0],[0,188,198,1,0],[1,192,202,1,0],[0,201,211,1,0],[1,203,213,1,0],[1,214,224,1,0],[0,215,225,1,0],[1,224,234,1,0],[0,230,240,1,0],[0,240,250,1,0],[1,242,252,1,0],[1,253,263,1,0],[0,254,264,1,0],[1,266,276,1,0],[0,268,278,1,0],[1,278,288,1,0],[0,279,289,1,0],[1,288,298,1,0],[0,289,299,1,0],[1,298,308,1,0],[0,311,321,1,0],[1,313,323,1,0],[0,323,333,1,0],[1,326,336,1,0],[0,338,348,1,0],[1,341,351,1,0],[1,351,361,1,0],[0,353,363,1,0],[1,361,371,1,0],[1,378,388,1,0],[0,382,392,1,0],[1,390,400,1,0],[1,404,414,1,0],[1,414,424,1,0],[1,424,430,1,0],[1,431,441,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,40,1,0],[0,40,50,1,0],[0,50,60,1,0],[0,60,64,1,0],[0,64,74,1,0],[0,74,84,1,0],[0,86,96,1,0],[1,95,105,1,0],[0,98,108,1,0],[0,108,118,1,0],[0,118,128,1,0],[1,121,131,1,0],[0,130,140,1,0],[0,141,151,1,0],[1,146,156,1,0],[0,151,161,1,0],[1,161,171,1,0],[0,163,173,1,0],[0,174,176,1,0],[0,177,183,1,0],[1,179,188,1,0],[0,184,194,1,0],[1,191,201,1,0],[0,194,204,1,0],[1,205,214,1,0],[0,206,216,1,0],[0,216,226,1,0],[1,223,233,1,0],[0,226,236,1,0],[1,234,244,1,0],[0,237,247,1,0],[1,244,254,1,0],[0,247,257,1,0],[1,256,266,1,0],[1,267,277,1,0],[0,268,278,1,0],[1,277,287,1,0],[0,280,290,1,0],[1,287,297,1,0],[0,290,300,1,0],[0,300,310,1,0],[1,304,314,1,0],[0,310,320,1,0],[1,316,326,1,0],[0,322,332,1,0],[1,330,340,1,0],[0,335,345,1,0],[1,346,355,1,0],[0,348,358,1,0],[1,357,367,1,0],[1,369,379,1,0],[1,382,391,1,0],[1,391,400,1,0],[1,400,409,1,0],[1,411,420,1,0],[1,420,428,1,0],[1,428,438,1,0],[1,438,446,1,0],[1,446,455,1,0],[1,455,464,1,0],[1,464,473,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,44,54,1,0],[0,54,64,1,0],[0,66,76,1,0],[0,77,87,1,0],[0,87,97,1,0],[1,95,105,1,0],[0,97,107,1,0],[0,107,117,1,0],[1,111,121,1,0],[0,119,129,1,0],[1,121,131,1,0],[0,129,139,1,0],[1,137,147,1,0],[0,139,149,1,0],[1,147,157,1,0],[0,151,161,1,0],[1,159,169,1,0],[0,163,173,1,0],[1,170,180,1,0],[0,173,183,1,0],[1,180,189,1,0],[0,183,193,1,0],[1,189,199,1,0],[0,193,203,1,0],[1,199,209,1,0],[0,203,213,1,0],[1,212,222,1,0],[0,215,225,1,0],[1,222,232,1,0],[0,225,235,1,0],[1,232,242,1,0],[0,235,245,1,0],[1,243,253,1,0],[0,245,255,1,0],[1,256,266,1,0],[1,266,276,1,0],[0,267,277,1,0],[0,277,287,1,0],[1,280,290,1,0],[1,290,299,1,0],[0,294,304,1,0],[1,299,308,1,0],[1,308,318,1,0],[0,309,319,1,0],[1,321,331,1,0],[0,325,335,1,0],[1,333,342,1,0],[0,339,349,1,0],[1,349,359,1,0],[0,350,360,1,0],[1,359,368,1,0],[1,368,377,1,0],[1,378,387,1,0],[1,387,397,1,0],[0,388,398,1,0],[1,400,409,1,0],[1,409,418,1,0],[1,423,428,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,66,76,1,0],[0,76,86,1,0],[0,86,96,1,0],[1,95,105,1,0],[0,96,106,1,0],[1,105,114,1,0],[0,106,116,1,0],[1,115,124,1,0],[0,116,126,1,0],[1,124,133,1,0],[0,126,136,1,0],[1,133,142,1,0],[0,138,148,1,0],[1,148,157,1,0],[0,150,160,1,0],[1,159,169,1,0],[0,160,170,1,0],[0,170,180,1,0],[1,173,182,1,0],[0,180,190,1,0],[1,184,193,1,0],[0,190,200,1,0],[1,194,203,1,0],[1,203,213,1,0],[0,204,214,1,0],[1,213,222,1,0],[0,214,224,1,0],[1,222,231,1,0],[0,224,234,1,0],[1,234,243,1,0],[0,235,245,1,0],[1,243,253,1,0],[0,245,255,1,0],[1,256,266,1,0],[0,260,270,1,0],[1,271,281,1,0],[0,274,284,1,0],[1,283,293,1,0],[0,286,296,1,0],[1,295,305,1,0],[0,301,311,1,0],[1,310,320,1,0],[0,315,325,1,0],[1,322,332,1,0],[0,328,338,1,0],[1,335,345,1,0],[1,347,357,1,0],[0,348,358,1,0],[1,357,367,1,0],[1,373,382,1,0],[1,382,392,1,0],[0,389,399,1,0],[1,397,406,1,0],[1,408,418,1,0],[1,421,429,1,0],[1,429,430,1,0],[1,430,440,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,72,82,1,0],[0,82,92,1,0],[0,92,102,1,0],[1,95,105,1,0],[0,102,112,1,0],[0,112,122,1,0],[1,121,131,1,0],[0,123,133,1,0],[1,131,140,1,0],[0,134,144,1,0],[1,140,149,1,0],[0,145,155,1,0],[1,153,162,1,0],[0,155,165,1,0],[1,164,173,1,0],[0,165,175,1,0],[1,173,182,1,0],[0,175,185,1,0],[1,183,192,1,0],[0,185,195,1,0],[1,193,202,1,0],[0,198,208,1,0],[1,205,214,1,0],[0,209,219,1,0],[1,216,225,1,0],[0,219,229,1,0],[1,227,237,1,0],[0,230,240,1,0],[1,241,251,1,0],[0,243,253,1,0],[1,253,263,1,0],[0,254,264,1,0],[1,263,273,1,0],[0,272,282,1,0],[1,274,284,1,0],[0,283,293,1,0],[1,289,299,1,0],[0,295,305,1,0],[1,300,310,1,0],[1,310,320,1,0],[0,312,322,1,0],[1,323,332,1,0],[0,328,338,1,0],[1,332,341,1,0],[0,338,348,1,0],[1,341,350,1,0],[0,351,361,1,0],[1,353,363,1,0],[1,365,375,1,0],[1,375,385,1,0],[1,386,396,1,0],[1,396,400,1,0],[1,400,409,1,0],[1,411,417,1,0],[1,421,431,1,0],[1,431,440,1,0]],[[0,2,11,1,0],[0,16,25,1,0],[0,30,39,1,0],[0,48,57,1,0],[0,59,68,1,0],[0,68,77,1,0],[0,78,87,1,0],[0,87,96,1,0],[1,95,105,1,0],[0,101,110,1,0],[1,109,119,1,0],[0,110,119,1,0],[0,123,132,1,0],[1,127,137,1,0],[0,132,141,1,0],[1,138,147,1,0],[0,143,152,1,0],[1,147,157,1,0],[0,153,162,1,0],[1,160,170,1,0],[0,168,177,1,0],[1,170,180,1,0],[0,178,187,1,0],[1,184,194,1,0],[0,187,196,1,0],[1,197,207,1,0],[0,198,201,1,0],[0,201,210,1,0],[1,211,221,1,0],[0,213,222,1,0],[1,224,234,1,0],[0,225,234,1,0],[1,236,246,1,0],[0,240,242,1,0],[0,242,251,1,0],[1,249,259,1,0],[0,253,262,1,0],[0,262,271,1,0],[1,265,275,1,0],[0,273,282,1,0],[1,278,288,1,0],[0,283,292,1,0],[1,294,304,1,0],[0,296,305,1,0],[1,306,316,1,0],[0,307,316,1,0],[1,317,327,1,0],[0,322,331,1,0],[1,328,338,1,0],[0,332,338,1,0],[0,338,345,1,0],[1,342,352,1,0],[0,350,359,1,0],[1,354,364,1,0],[0,359,368,1,0],[1,366,376,1,0],[1,376,386,1,0],[1,389,399,1,0],[1,403,413,1,0],[1,415,425,1,0],[1,425,429,1,0],[1,429,439,1,0],[1,439,449,1,0],[1,452,455,1,0]],[[0,2,11,1,0],[0,15,24,1,0],[0,24,33,1,0],[0,33,42,1,0],[0,56,65,1,0],[0,66,75,1,0],[0,75,84,1,0],[0,84,93,1,0],[1,95,105,1,0],[0,96,105,1,0],[1,106,116,1,0],[0,107,116,1,0],[1,116,126,1,0],[0,120,129,1,0],[0,130,139,1,0],[1,139,149,1,0],[0,142,151,1,0],[1,149,159,1,0],[0,153,162,1,0],[0,162,171,1,0],[1,164,174,1,0],[1,174,183,1,0],[1,183,193,1,0],[0,184,193,1,0],[1,193,203,1,0],[0,197,206,1,0],[1,203,213,1,0],[0,208,217,1,0],[1,213,223,1,0],[0,218,227,1,0],[1,223,233,1,0],[0,227,236,1,0],[1,235,245,1,0],[0,237,246,1,0],[1,245,255,1,0],[0,249,258,1,0],[1,255,265,1,0],[0,259,268,1,0],[1,265,275,1,0],[0,268,277,1,0],[1,275,284,1,0],[0,281,290,1,0],[1,284,294,1,0],[0,291,300,1,0],[1,294,304,1,0],[1,304,314,1,0],[0,313,322,1,0],[1,318,328,1,0],[0,323,332,1,0],[1,330,340,1,0],[0,333,342,1,0],[1,340,350,1,0],[1,352,358,1,0],[0,354,363,1,0],[1,359,369,1,0],[0,365,374,1,0],[1,372,382,1,0],[0,374,383,1,0],[1,382,392,1,0],[1,392,402,1,0],[1,404,406,1,0],[1,406,416,1,0]],[[0,0,9,1,0],[0,9,18,1,0],[0,32,41,1,0],[0,41,50,1,0],[0,50,59,1,0],[0,62,71,1,0],[0,74,83,1,0],[0,83,92,1,0],[1,96,105,1,0],[0,98,107,1,0],[0,108,117,1,0],[1,115,125,1,0],[0,119,128,1,0],[1,125,134,1,0],[0,130,139,1,0],[1,134,143,1,0],[0,140,149,1,0],[1,143,152,1,0],[1,152,161,1,0],[0,154,163,1,0],[1,161,171,1,0],[0,163,172,1,0],[1,172,182,1,0],[0,173,182,1,0],[0,186,195,1,0],[1,191,201,1,0],[0,197,206,1,0],[1,201,211,1,0],[0,206,215,1,0],[1,212,221,1,0],[0,218,227,1,0],[1,223,232,1,0],[0,230,239,1,0],[1,233,242,1,0],[0,240,249,1,0],[1,245,254,1,0],[1,256,265,1,0],[0,258,267,1,0],[1,265,274,1,0],[0,268,277,1,0],[1,275,277,1,0],[1,278,287,1,0],[0,279,288,1,0],[1,287,296,1,0],[0,294,303,1,0],[1,298,307,1,0],[0,304,313,1,0],[1,309,318,1,0],[0,314,323,1,0],[1,320,329,1,0],[0,324,333,1,0],[1,329,338,1,0],[1,339,348,1,0],[0,342,351,1,0],[1,349,358,1,0],[1,358,367,1,0],[0,360,369,1,0],[1,367,377,1,0],[0,375,384,1,0],[1,377,383,1,0],[1,385,394,1,0],[1,397,407,1,0],[1,407,417,1,0],[1,417,426,1,0]],[[0,0,9,1,0],[0,12,21,1,0],[0,22,31,1,0],[0,31,40,1,0],[0,40,49,1,0],[0,49,58,1,0],[0,59,68,1,0],[0,78,87,1,0],[1,96,105,1,0],[0,97,105,1,0],[0,105,110,1,0],[0,110,119,1,0],[0,119,128,1,0],[1,123,131,1,0],[0,128,129,1,0],[1,131,140,1,0],[0,132,141,1,0],[1,140,150,1,0],[0,141,150,1,0],[1,150,159,1,0],[0,155,164,1,0],[1,159,169,1,0],[0,165,174,1,0],[0,181,190,1,0],[1,183,193,1,0],[0,190,199,1,0],[1,196,206,1,0],[0,201,210,1,0],[1,206,215,1,0],[0,210,219,1,0],[1,220,230,1,0],[0,221,230,1,0],[0,230,239,1,0],[1,233,243,1,0],[1,243,252,1,0],[0,248,257,1,0],[1,252,262,1,0],[0,257,266,1,0],[1,262,271,1,0],[1,273,283,1,0],[0,274,283,1,0],[1,283,292,1,0],[0,284,293,1,0],[1,292,301,1,0],[0,297,306,1,0],[1,301,311,1,0],[0,306,315,1,0],[1,312,320,1,0],[1,320,329,1,0],[0,322,331,1,0],[1,329,338,1,0],[0,333,342,1,0],[1,338,347,1,0],[0,342,346,1,0],[1,347,356,1,0],[1,356,365,1,0],[0,357,366,1,0],[1,367,376,1,0],[0,370,379,1,0],[1,376,385,1,0],[1,385,394,1,0],[1,403,412,1,0],[1,415,424,1,0],[1,426,435,1,0],[1,435,444,1,0]],[[0,0,9,1,0],[0,25,34,1,0],[0,41,50,1,0],[0,51,60,1,0],[0,60,69,1,0],[0,74,83,1,0],[0,91,100,1,0],[1,96,105,1,0],[0,100,109,1,0],[1,106,115,1,0],[0,109,118,1,0],[0,119,128,1,0],[1,130,140,1,0],[0,131,140,1,0],[1,141,150,1,0],[0,142,151,1,0],[1,150,159,1,0],[0,152,161,1,0],[1,162,171,1,0],[0,163,172,1,0],[1,171,180,1,0],[0,172,181,1,0],[0,181,190,1,0],[1,184,193,1,0],[1,193,202,1,0],[0,195,204,1,0],[1,202,211,1,0],[0,205,214,1,0],[1,212,222,1,0],[0,215,224,1,0],[1,222,232,1,0],[0,225,234,1,0],[1,232,241,1,0],[0,239,248,1,0],[1,241,250,1,0],[0,248,257,1,0],[1,256,265,1,0],[0,260,269,1,0],[1,268,277,1,0],[0,270,276,1,0],[1,277,286,1,0],[0,280,289,1,0],[1,286,295,1,0],[0,289,298,1,0],[1,295,305,1,0],[0,298,307,1,0],[1,308,318,1,0],[0,311,320,1,0],[1,321,328,1,0],[0,327,330,1,0],[1,330,339,1,0],[0,331,340,1,0],[1,339,349,1,0],[0,340,347,1,0],[1,351,360,1,0],[0,352,361,1,0],[1,360,369,1,0],[0,361,370,1,0],[1,369,378,1,0],[1,378,388,1,0],[0,382,384,1,0],[1,390,399,1,0],[1,399,409,1,0],[1,410,419,1,0],[1,423,433,1,0]],[[0,2,11,1,0],[0,30,39,1,0],[0,40,49,1,0],[0,56,65,1,0],[0,69,78,1,0],[0,78,87,1,0],[0,88,97,1,0],[1,95,105,1,0],[0,98,107,1,0],[0,107,116,1,0],[1,113,123,1,0],[0,117,126,1,0],[0,130,139,1,0],[1,131,141,1,0],[1,144,153,1,0],[0,149,158,1,0],[1,153,162,1,0],[1,162,171,1,0],[0,163,172,1,0],[1,171,180,1,0],[0,172,181,1,0],[1,181,190,1,0],[0,182,191,1,0],[1,190,199,1,0],[0,191,200,1,0],[1,200,209,1,0],[0,201,210,1,0],[1,209,218,1,0],[0,212,221,1,0],[1,218,227,1,0],[0,222,231,1,0],[1,227,237,1,0],[1,242,251,1,0],[0,243,252,1,0],[1,251,260,1,0],[0,252,261,1,0],[1,260,269,1,0],[0,261,270,1,0],[1,269,278,1,0],[0,270,279,1,0],[1,281,290,1,0],[0,283,292,1,0],[1,290,299,1,0],[1,300,309,1,0],[0,301,310,1,0],[0,310,319,1,0],[1,313,322,1,0],[0,319,328,1,0],[1,324,333,1,0],[0,328,337,1,0],[1,333,342,1,0],[0,343,352,1,0],[1,345,354,1,0],[1,354,363,1,0],[1,363,373,1,0],[0,367,376,1,0],[1,380,389,1,0],[0,381,390,1,0],[1,389,390,1,0],[1,397,406,1,0],[0,401,410,1,0],[1,406,416,1,0],[1,421,429,1,0],[1,429,439,1,0]],[[0,0,9,1,0],[0,9,18,1,0],[0,38,47,1,0],[0,49,58,1,0],[0,61,70,1,0],[0,72,81,1,0],[0,86,95,1,0],[1,96,106,1,0],[0,97,106,1,0],[1,106,116,1,0],[0,108,117,1,0],[0,119,128,1,0],[1,127,137,1,0],[0,130,139,1,0],[1,137,147,1,0],[0,140,149,1,0],[1,152,162,1,0],[0,153,162,1,0],[0,162,171,1,0],[1,164,173,1,0],[0,173,182,1,0],[1,177,187,1,0],[0,182,191,1,0],[1,190,200,1,0],[0,196,205,1,0],[1,201,211,1,0],[0,206,215,1,0],[1,211,221,1,0],[0,216,225,1,0],[1,223,233,1,0],[0,228,237,1,0],[1,233,243,1,0],[0,239,248,1,0],[1,243,253,1,0],[1,254,264,1,0],[0,260,269,1,0],[1,270,280,1,0],[0,273,282,1,0],[1,283,293,1,0],[0,283,292,1,0],[0,292,301,1,0],[1,298,308,1,0],[0,301,310,1,0],[1,308,318,1,0],[0,310,319,1,0],[1,319,329,1,0],[0,321,330,1,0],[1,329,339,1,0],[0,334,343,1,0],[1,342,352,1,0],[1,352,362,1,0],[0,354,363,1,0],[0,363,372,1,0],[1,366,376,1,0],[1,380,390,1,0],[1,390,400,1,0],[0,392,401,1,0],[1,400,410,1,0],[1,410,417,1,0],[1,417,427,1,0],[1,427,437,1,0]],[[0,2,11,1,0],[0,13,22,1,0],[0,25,34,1,0],[0,36,45,1,0],[0,50,59,1,0],[0,60,69,1,0],[0,70,79,1,0],[0,83,92,1,0],[0,92,101,1,0],[1,95,105,1,0],[0,112,121,1,0],[1,117,127,1,0],[0,121,130,1,0],[0,131,140,1,0],[1,133,143,1,0],[0,141,150,1,0],[1,143,153,1,0],[1,153,163,1,0],[0,154,163,1,0],[0,163,172,1,0],[1,170,180,1,0],[0,174,183,1,0],[1,180,190,1,0],[0,187,196,1,0],[1,190,200,1,0],[0,198,199,1,0],[1,200,210,1,0],[0,203,208,1,0],[1,214,224,1,0],[0,216,225,1,0],[1,224,234,1,0],[0,226,235,1,0],[1,234,244,1,0],[0,237,246,1,0],[1,244,254,1,0],[0,247,256,1,0],[1,256,266,1,0],[0,258,267,1,0],[1,266,276,1,0],[0,272,281,1,0],[1,276,286,1,0],[0,281,290,1,0],[1,286,296,1,0],[0,292,301,1,0],[1,296,306,1,0],[1,306,316,1,0],[0,311,320,1,0],[1,319,329,1,0],[0,321,325,1,0],[1,330,340,1,0],[0,333,341,1,0],[1,340,350,1,0],[0,341,350,1,0],[1,351,361,1,0],[0,352,361,1,0],[1,361,363,1,0],[1,370,380,1,0],[0,372,381,1,0],[0,383,392,1,0],[1,388,398,1,0],[1,400,410,1,0],[1,412,422,1,0],[1,422,426,1,0],[1,429,439,1,0]],[[0,2,11,1,0],[0,40,49,1,0],[0,57,66,1,0],[0,66,75,1,0],[0,77,86,1,0],[0,88,97,1,0],[1,95,105,1,0],[0,99,108,1,0],[0,108,117,1,0],[1,111,121,1,0],[0,120,129,1,0],[0,130,139,1,0],[1,133,143,1,0],[0,139,148,1,0],[1,146,155,1,0],[0,149,158,1,0],[1,159,169,1,0],[0,160,169,1,0],[1,169,178,1,0],[0,172,181,1,0],[1,178,187,1,0],[0,185,194,1,0],[1,188,198,1,0],[0,194,203,1,0],[1,198,208,1,0],[0,203,212,1,0],[1,210,220,1,0],[0,213,222,1,0],[1,222,232,1,0],[0,224,233,1,0],[1,232,241,1,0],[0,233,242,1,0],[1,241,251,1,0],[0,243,252,1,0],[0,254,263,1,0],[1,256,265,1,0],[1,265,275,1,0],[0,266,275,1,0],[1,275,285,1,0],[0,276,285,1,0],[1,285,295,1,0],[0,285,294,1,0],[0,294,303,1,0],[1,296,305,1,0],[1,305,314,1,0],[0,306,315,1,0],[1,314,323,1,0],[0,321,330,1,0],[1,324,334,1,0],[0,331,340,1,0],[1,334,343,1,0],[1,343,352,1,0],[0,344,353,1,0],[1,355,364,1,0],[0,356,365,1,0],[1,366,376,1,0],[0,367,376,1,0],[1,376,385,1,0],[1,386,396,1,0],[1,402,412,1,0],[1,413,417,1,0],[1,419,428,1,0],[1,428,433,1,0]],[[0,2,11,1,0],[0,42,51,1,0],[0,57,66,1,0],[0,66,75,1,0],[0,75,84,1,0],[0,87,96,1,0],[1,95,105,1,0],[0,97,106,1,0],[0,109,118,1,0],[1,121,131,1,0],[0,122,131,1,0],[0,131,140,1,0],[0,145,154,1,0],[1,148,158,1,0],[0,154,163,1,0],[1,158,167,1,0],[1,167,176,1,0],[0,172,181,1,0],[0,182,191,1,0],[1,185,195,1,0],[0,193,202,1,0],[1,200,210,1,0],[0,204,213,1,0],[1,213,223,1,0],[0,214,223,1,0],[1,223,232,1,0],[0,226,235,1,0],[1,232,241,1,0],[0,236,245,1,0],[1,243,253,1,0],[0,248,257,1,0],[1,253,263,1,0],[0,259,268,1,0],[1,265,275,1,0],[0,268,277,1,0],[1,283,293,1,0],[0,284,293,1,0],[1,293,302,1,0],[0,299,308,1,0],[1,302,311,1,0],[0,309,318,1,0],[1,315,325,1,0],[0,319,328,1,0],[1,326,336,1,0],[0,331,340,1,0],[1,338,347,1,0],[1,349,359,1,0],[0,350,359,1,0],[1,359,369,1,0],[0,360,369,1,0],[1,373,383,1,0],[0,377,386,1,0],[1,390,400,1,0],[0,394,403,1,0],[1,400,409,1,0],[1,411,421,1,0],[1,423,432,1,0],[0,427,436,1,0],[1,441,450,1,0],[1,450,459,1,0],[1,459,468,1,0],[1,469,475,1,0],[1,475,477,1,0]],[[0,2,11,1,0],[0,39,48,1,0],[0,52,61,1,0],[0,61,70,1,0],[0,73,82,1,0],[0,82,91,1,0],[0,91,100,1,0],[1,95,105,1,0],[0,107,116,1,0],[1,113,123,1,0],[0,116,125,1,0],[1,123,132,1,0],[0,128,137,1,0],[1,132,142,1,0],[1,142,151,1,0],[0,145,154,1,0],[1,154,164,1,0],[0,155,164,1,0],[0,167,176,1,0],[1,173,183,1,0],[0,176,185,1,0],[1,183,193,1,0],[0,185,194,1,0],[1,193,203,1,0],[0,195,204,1,0],[0,204,213,1,0],[1,206,216,1,0],[0,216,225,1,0],[1,218,228,1,0],[1,228,238,1,0],[0,228,237,1,0],[0,240,249,1,0],[1,244,254,1,0],[0,249,258,1,0],[1,259,268,1,0],[0,264,273,1,0],[1,268,278,1,0],[1,278,288,1,0],[0,281,290,1,0],[1,288,297,1,0],[0,290,299,1,0],[1,297,307,1,0],[0,299,308,1,0],[1,309,319,1,0],[0,310,319,1,0],[1,319,321,1,0],[0,321,330,1,0],[1,327,336,1,0],[1,337,346,1,0],[0,338,347,1,0],[1,348,357,1,0],[0,351,360,1,0],[0,360,369,1,0],[1,370,374,1,0],[1,377,386,1,0],[0,384,393,1,0],[1,386,396,1,0],[0,393,402,1,0],[1,398,408,1,0],[1,411,421,1,0],[1,421,430,1,0],[1,430,440,1,0],[1,440,449,1,0]],[[0,2,11,1,0],[0,16,25,1,0],[0,39,48,1,0],[0,49,58,1,0],[0,59,68,1,0],[0,73,82,1,0],[0,85,94,1,0],[1,95,105,1,0],[0,96,105,1,0],[0,108,117,1,0],[1,113,123,1,0],[0,120,129,1,0],[1,123,132,1,0],[1,132,142,1,0],[0,137,146,1,0],[1,142,151,1,0],[0,147,156,1,0],[1,156,166,1,0],[0,157,166,1,0],[0,166,175,1,0],[1,169,178,1,0],[0,175,184,1,0],[1,178,187,1,0],[1,187,196,1,0],[0,188,197,1,0],[0,197,206,1,0],[1,200,210,1,0],[0,208,217,1,0],[1,210,219,1,0],[1,219,228,1,0],[0,220,229,1,0],[0,229,238,1,0],[1,230,239,1,0],[1,239,248,1,0],[0,240,249,1,0],[0,252,261,1,0],[1,254,263,1,0],[0,261,270,1,0],[1,263,273,1,0],[0,270,279,1,0],[1,274,284,1,0],[1,285,295,1,0],[0,286,287,1,0],[0,291,300,1,0],[1,298,308,1,0],[0,300,309,1,0],[1,308,318,1,0],[0,311,316,1,0],[1,321,331,1,0],[1,331,341,1,0],[0,332,341,1,0],[1,343,353,1,0],[0,346,355,1,0],[1,354,363,1,0],[0,357,366,1,0],[1,367,374,1,0],[0,371,375,1,0],[1,374,384,1,0],[0,381,390,1,0],[1,389,399,1,0],[1,399,409,1,0],[0,400,408,1,0],[1,412,422,1,0],[1,423,433,1,0]],[[0,0,9,1,0],[0,50,59,1,0],[0,59,68,1,0],[0,71,80,1,0],[0,86,95,1,0],[1,96,106,1,0],[0,97,106,1,0],[0,107,116,1,0],[1,111,121,1,0],[0,117,126,1,0],[0,127,136,1,0],[1,129,139,1,0],[1,139,149,1,0],[0,140,149,1,0],[1,149,159,1,0],[0,149,158,1,0],[1,159,169,1,0],[0,163,172,1,0],[0,172,181,1,0],[1,178,186,1,0],[0,181,190,1,0],[1,186,196,1,0],[0,190,199,1,0],[1,197,207,1,0],[0,201,210,1,0],[1,207,217,1,0],[0,211,220,1,0],[1,219,229,1,0],[0,223,232,1,0],[1,232,242,1,0],[0,233,242,1,0],[0,243,252,1,0],[1,251,261,1,0],[0,257,266,1,0],[0,266,275,1,0],[1,268,278,1,0],[0,275,284,1,0],[1,278,288,1,0],[0,284,293,1,0],[1,288,298,1,0],[0,293,302,1,0],[1,300,310,1,0],[0,307,316,1,0],[1,319,329,1,0],[0,320,329,1,0],[1,329,339,1,0],[0,331,340,1,0],[1,339,349,1,0],[0,340,349,1,0],[0,349,358,1,0],[1,354,364,1,0],[0,359,368,1,0],[1,364,374,1,0],[1,380,390,1,0],[0,381,390,1,0],[1,398,408,1,0],[1,408,418,1,0],[1,418,428,1,0],[1,428,438,1,0],[1,440,448,1,0],[1,448,458,1,0]],[[0,0,9,1,0],[0,48,57,1,0],[0,60,69,1,0],[0,75,80,1,0],[0,80,89,1,0],[0,91,100,1,0],[1,96,106,1,0],[0,101,102,1,0],[0,109,117,1,0],[1,111,121,1,0],[0,117,126,1,0],[1,121,131,1,0],[0,128,137,1,0],[1,131,141,1,0],[0,137,146,1,0],[1,141,151,1,0],[0,146,155,1,0],[1,151,161,1,0],[0,156,165,1,0],[1,161,171,1,0],[0,167,176,1,0],[1,171,181,1,0],[1,184,194,1,0],[0,190,194,1,0],[0,198,207,1,0],[1,202,208,1,0],[1,208,218,1,0],[0,212,221,1,0],[1,218,228,1,0],[0,221,230,1,0],[1,228,238,1,0],[0,230,239,1,0],[1,239,249,1,0],[0,240,249,1,0],[0,251,260,1,0],[1,254,264,1,0],[0,260,269,1,0],[1,264,274,1,0],[0,273,282,1,0],[1,281,291,1,0],[0,287,296,1,0],[1,291,301,1,0],[0,298,307,1,0],[1,301,311,1,0],[0,308,317,1,0],[1,317,327,1,0],[0,319,328,1,0],[1,329,339,1,0],[0,334,343,1,0],[1,343,353,1,0],[0,344,353,1,0],[1,353,363,1,0],[0,355,364,1,0],[1,366,376,1,0],[0,374,383,1,0],[1,378,388,1,0],[0,387,396,1,0],[1,396,406,1,0],[0,407,416,1,0],[1,410,420,1,0],[1,432,442,1,0],[1,444,454,1,0],[0,450,459,1,0]],[[0,2,11,1,0],[0,38,47,1,0],[0,58,67,1,0],[0,67,76,1,0],[0,77,85,1,0],[0,90,99,1,0],[1,95,104,1,0],[0,99,108,1,0],[0,108,109,1,0],[0,114,123,1,0],[1,117,127,1,0],[1,127,136,1,0],[0,130,139,1,0],[0,141,150,1,0],[1,149,159,1,0],[0,151,155,1,0],[0,155,164,1,0],[1,159,168,1,0],[0,164,173,1,0],[0,173,182,1,0],[1,177,179,1,0],[1,179,188,1,0],[0,183,188,1,0],[0,193,202,1,0],[1,197,207,1,0],[0,204,213,1,0],[1,207,217,1,0],[0,213,222,1,0],[1,219,228,1,0],[0,226,235,1,0],[1,228,237,1,0],[1,238,247,1,0],[0,241,250,1,0],[1,247,256,1,0],[0,250,259,1,0],[1,256,265,1,0],[0,259,268,1,0],[1,265,274,1,0],[0,269,278,1,0],[1,281,291,1,0],[0,292,301,1,0],[0,301,310,1,0],[1,303,313,1,0],[0,312,321,1,0],[1,316,325,1,0],[0,321,330,1,0],[1,332,340,1,0],[0,333,342,1,0],[1,343,352,1,0],[0,346,355,1,0],[0,355,364,1,0],[1,357,366,1,0],[0,367,376,1,0],[1,373,382,1,0],[1,385,394,1,0],[0,396,405,1,0],[1,399,408,1,0],[0,406,415,1,0],[1,409,418,1,0],[1,420,429,1,0],[1,429,438,1,0],[1,438,447,1,0],[1,447,456,1,0],[1,456,465,1,0],[1,465,474,1,0],[1,474,483,1,0]],[[0,0,9,1,0],[0,31,40,1,0],[0,48,57,1,0],[0,59,68,1,0],[0,70,79,1,0],[0,80,89,1,0],[1,96,105,1,0],[0,99,108,1,0],[0,108,117,1,0],[1,118,122,1,0],[0,121,130,1,0],[0,131,140,1,0],[1,141,151,1,0],[0,144,153,1,0],[1,151,160,1,0],[0,153,162,1,0],[1,163,172,1,0],[0,165,174,1,0],[1,172,181,1,0],[0,175,184,1,0],[1,181,190,1,0],[0,188,197,1,0],[1,196,205,1,0],[0,197,206,1,0],[1,205,214,1,0],[0,206,215,1,0],[1,214,223,1,0],[0,217,226,1,0],[1,227,236,1,0],[0,230,239,1,0],[1,241,250,1,0],[0,243,252,1,0],[1,254,264,1,0],[0,255,264,1,0],[0,264,273,1,0],[1,271,281,1,0],[0,273,282,1,0],[0,282,291,1,0],[1,284,293,1,0],[0,291,300,1,0],[1,298,308,1,0],[0,300,309,1,0],[0,312,321,1,0],[1,314,323,1,0],[0,324,333,1,0],[1,327,336,1,0],[0,333,342,1,0],[1,336,345,1,0],[0,342,351,1,0],[1,351,361,1,0],[0,353,362,1,0],[1,361,366,1,0],[1,369,378,1,0],[0,377,386,1,0],[1,383,392,1,0],[1,396,405,1,0],[1,411,420,1,0],[1,423,433,1,0],[1,433,442,1,0],[1,442,451,1,0],[1,451,460,1,0],[1,460,470,1,0],[1,470,479,1,0],[1,479,488,1,0]],[[0,66,75,1,0],[0,75,84,1,0],[0,86,95,1,0],[1,95,104,1,0],[0,96,105,1,0],[0,106,115,1,0],[1,111,121,1,0],[0,115,124,1,0],[0,125,134,1,0],[1,132,142,1,0],[0,136,145,1,0],[1,143,152,1,0],[0,153,162,1,0],[1,158,167,1,0],[0,164,173,1,0],[1,167,176,1,0],[0,174,183,1,0],[1,183,192,1,0],[0,184,193,1,0],[1,195,204,1,0],[0,196,205,1,0],[1,204,213,1,0],[0,208,217,1,0],[1,214,223,1,0],[0,217,226,1,0],[1,224,233,1,0],[0,226,235,1,0],[1,235,245,1,0],[0,236,245,1,0],[0,245,254,1,0],[1,253,263,1,0],[0,259,268,1,0],[1,266,275,1,0],[0,268,277,1,0],[1,276,285,1,0],[0,278,287,1,0],[1,285,295,1,0],[0,288,297,1,0],[1,297,307,1,0],[0,298,307,1,0],[1,307,316,1,0],[0,308,317,1,0],[0,317,326,1,0],[1,322,332,1,0],[0,326,335,1,0],[1,332,341,1,0],[0,337,346,1,0],[1,341,351,1,0],[0,352,361,1,0],[1,358,368,1,0],[0,361,370,1,0],[1,368,378,1,0],[1,385,394,1,0],[0,387,396,1,0],[1,397,406,1,0],[0,398,407,1,0],[1,408,418,1,0],[1,419,423,1,0],[1,424,433,1,0],[1,442,451,1,0],[1,454,463,1,0],[1,463,464,1,0]],[[0,2,11,1,0],[0,46,55,1,0],[0,64,73,1,0],[0,73,82,1,0],[0,84,93,1,0],[1,95,105,1,0],[0,101,110,1,0],[0,112,121,1,0],[1,119,129,1,0],[0,121,130,1,0],[1,129,138,1,0],[1,138,148,1,0],[0,142,151,1,0],[1,148,157,1,0],[0,151,156,1,0],[1,157,166,1,0],[0,158,167,1,0],[1,166,176,1,0],[0,169,178,1,0],[1,176,186,1,0],[0,181,190,1,0],[1,188,197,1,0],[0,192,201,1,0],[1,200,209,1,0],[0,203,212,1,0],[1,210,219,1,0],[0,217,226,1,0],[1,220,229,1,0],[0,226,235,1,0],[1,229,238,1,0],[1,238,247,1,0],[0,239,248,1,0],[1,251,260,1,0],[0,252,253,1,0],[0,254,263,1,0],[1,260,270,1,0],[0,265,273,1,0],[1,273,283,1,0],[0,275,284,1,0],[1,283,293,1,0],[0,290,299,1,0],[1,294,304,1,0],[0,300,304,1,0],[1,304,314,1,0],[0,306,315,1,0],[1,315,324,1,0],[0,316,325,1,0],[1,328,337,1,0],[0,332,341,1,0],[1,339,341,1,0],[1,343,352,1,0],[0,344,353,1,0],[1,352,361,1,0],[0,354,363,1,0],[1,367,371,1,0],[0,368,377,1,0],[1,373,382,1,0],[1,382,391,1,0],[0,391,400,1,0],[1,399,408,1,0],[0,400,409,1,0],[1,412,421,1,0],[0,418,427,1,0],[1,423,432,1,0],[1,435,444,1,0],[0,436,445,1,0]],[[0,19,28,1,0],[0,48,57,1,0],[0,64,73,1,0],[0,74,83,1,0],[0,84,88,1,0],[0,91,100,1,0],[1,95,105,1,0],[1,106,116,1,0],[0,107,116,1,0],[0,118,127,1,0],[1,125,135,1,0],[0,127,136,1,0],[0,138,147,1,0],[0,147,156,1,0],[0,156,165,1,0],[1,162,172,1,0],[0,165,174,1,0],[1,174,184,1,0],[0,180,188,1,0],[1,184,194,1,0],[0,189,198,1,0],[1,196,206,1,0],[0,203,212,1,0],[0,212,221,1,0],[1,214,224,1,0],[1,224,234,1,0],[0,225,234,1,0],[1,234,244,1,0],[0,236,245,1,0],[1,244,254,1,0],[0,249,258,1,0],[1,261,271,1,0],[0,263,272,1,0],[1,271,281,1,0],[0,275,280,1,0],[1,281,291,1,0],[0,284,293,1,0],[1,292,301,1,0],[0,293,302,1,0],[1,304,313,1,0],[0,305,314,1,0],[1,315,325,1,0],[0,318,327,1,0],[0,327,336,1,0],[1,328,338,1,0],[0,336,345,1,0],[1,345,355,1,0],[0,347,356,1,0],[1,355,365,1,0],[0,358,367,1,0],[1,367,377,1,0],[0,370,379,1,0],[1,381,385,1,0],[1,385,394,1,0],[0,386,395,1,0],[1,394,404,1,0],[0,395,404,1,0],[1,405,415,1,0],[1,415,425,1,0],[0,420,421,1,0],[1,426,432,1,0],[1,437,447,1,0],[1,450,460,1,0],[1,460,469,1,0]],[[0,2,11,1,0],[0,41,50,1,0],[0,55,64,1,0],[0,66,75,1,0],[0,78,87,1,0],[0,91,100,1,0],[1,95,105,1,0],[0,102,111,1,0],[1,105,115,1,0],[0,115,124,1,0],[1,117,127,1,0],[0,126,135,1,0],[1,138,148,1,0],[0,139,148,1,0],[1,148,157,1,0],[0,149,158,1,0],[1,158,168,1,0],[0,159,168,1,0],[1,170,180,1,0],[0,172,181,1,0],[1,182,192,1,0],[0,184,193,1,0],[0,194,203,1,0],[1,198,208,1,0],[0,205,214,1,0],[1,213,223,1,0],[0,215,224,1,0],[1,225,235,1,0],[0,226,235,1,0],[0,235,244,1,0],[1,240,250,1,0],[0,246,255,1,0],[1,255,265,1,0],[1,265,275,1,0],[0,268,277,1,0],[1,277,287,1,0],[0,278,287,1,0],[1,287,297,1,0],[0,288,297,1,0],[0,297,306,1,0],[0,306,315,1,0],[1,308,318,1,0],[0,316,325,1,0],[1,318,328,1,0],[0,325,334,1,0],[1,334,344,1,0],[0,335,344,1,0],[1,346,356,1,0],[0,347,356,1,0],[0,356,365,1,0],[1,358,368,1,0],[0,367,376,1,0],[1,369,379,1,0],[0,376,385,1,0],[1,379,380,1,0],[1,380,390,1,0],[1,393,402,1,0],[1,402,412,1,0],[1,412,422,1,0],[1,427,437,1,0],[1,455,464,1,0],[1,464,472,1,0]],[[0,43,52,1,0],[0,69,78,1,0],[0,82,91,1,0],[0,91,100,1,0],[1,96,106,1,0],[0,102,111,1,0],[0,112,121,1,0],[1,120,130,1,0],[0,124,133,1,0],[1,130,140,1,0],[0,134,143,1,0],[0,146,155,1,0],[0,156,165,1,0],[0,166,175,1,0],[1,172,182,1,0],[0,178,187,1,0],[1,182,191,1,0],[1,192,202,1,0],[0,193,202,1,0],[1,203,212,1,0],[0,204,213,1,0],[1,212,221,1,0],[0,213,222,1,0],[1,221,230,1,0],[0,222,231,1,0],[1,230,239,1,0],[0,231,240,1,0],[1,242,252,1,0],[0,243,252,1,0],[1,252,262,1,0],[0,255,264,1,0],[1,265,274,1,0],[0,266,275,1,0],[0,277,286,1,0],[1,281,291,1,0],[0,288,297,1,0],[0,297,306,1,0],[1,304,314,1,0],[0,306,315,1,0],[1,314,323,1,0],[0,315,324,1,0],[0,325,334,1,0],[1,327,329,1,0],[1,330,339,1,0],[0,334,343,1,0],[1,339,348,1,0],[1,353,362,1,0],[0,354,363,1,0],[1,363,373,1,0],[0,364,373,1,0],[1,374,384,1,0],[0,375,384,1,0],[1,387,397,1,0],[0,388,397,1,0],[1,399,408,1,0],[1,408,418,1,0],[1,421,431,1,0],[1,431,440,1,0],[0,439,448,1,0],[1,443,452,1,0],[1,453,462,1,0],[1,471,480,1,0],[1,480,489,1,0]],[[0,2,11,1,0],[0,52,61,1,0],[0,67,76,1,0],[0,77,86,1,0],[0,86,95,1,0],[1,95,104,1,0],[0,96,105,1,0],[0,113,122,1,0],[1,120,130,1,0],[0,125,130,1,0],[1,132,142,1,0],[0,133,142,1,0],[0,142,151,1,0],[1,148,157,1,0],[0,153,162,1,0],[1,164,174,1,0],[0,167,176,1,0],[1,178,187,1,0],[0,179,188,1,0],[1,188,197,1,0],[0,190,199,1,0],[1,200,209,1,0],[0,202,211,1,0],[1,216,225,1,0],[0,218,227,1,0],[0,228,237,1,0],[1,230,238,1,0],[0,238,247,1,0],[1,243,253,1,0],[0,247,256,1,0],[0,256,265,1,0],[1,259,268,1,0],[0,266,275,1,0],[1,270,279,1,0],[0,279,288,1,0],[1,281,291,1,0],[1,304,314,1,0],[0,305,313,1,0],[0,313,314,1,0],[0,321,330,1,0],[1,325,335,1,0],[0,332,341,1,0],[1,339,349,1,0],[0,341,345,1,0],[0,345,354,1,0],[1,353,362,1,0],[0,357,366,1,0],[1,362,372,1,0],[1,376,386,1,0],[0,379,388,1,0],[1,387,397,1,0],[0,392,401,1,0],[0,407,416,1,0],[1,409,418,1,0],[1,421,430,1,0],[1,431,441,1,0],[0,432,441,1,0],[1,441,450,1,0],[1,453,462,1,0],[0,454,463,1,0],[1,462,472,1,0],[1,475,485,1,0],[1,488,498,1,0],[1,498,507,1,0],[1,509,511,1,0]],[[0,7,8,1,0],[0,63,72,1,0],[0,74,83,1,0],[0,90,99,1,0],[1,95,105,1,0],[0,101,109,1,0],[1,110,120,1,0],[0,111,120,1,0],[1,121,131,1,0],[0,123,132,1,0],[1,131,141,1,0],[0,132,141,1,0],[1,141,150,1,0],[0,142,146,1,0],[0,146,155,1,0],[1,150,159,1,0],[0,157,166,1,0],[1,161,170,1,0],[0,168,177,1,0],[1,170,180,1,0],[0,177,186,1,0],[1,180,189,1,0],[1,189,199,1,0],[0,190,199,1,0],[1,199,209,1,0],[0,202,211,1,0],[1,214,221,1,0],[0,215,224,1,0],[1,221,231,1,0],[0,224,233,1,0],[1,235,244,1,0],[0,236,245,1,0],[0,245,254,1,0],[1,249,259,1,0],[0,254,263,1,0],[1,259,269,1,0],[0,263,272,1,0],[1,269,279,1,0],[0,272,281,1,0],[1,279,288,1,0],[0,286,295,1,0],[1,288,294,1,0],[1,294,304,1,0],[0,295,304,1,0],[0,304,313,1,0],[1,312,322,1,0],[0,328,337,1,0],[1,332,342,1,0],[0,338,347,1,0],[1,344,354,1,0],[0,347,356,1,0],[1,354,364,1,0],[0,358,367,1,0],[1,372,382,1,0],[0,378,387,1,0],[0,387,396,1,0],[1,392,402,1,0],[0,402,411,1,0],[1,410,420,1,0],[0,413,418,1,0],[1,426,436,1,0],[1,444,454,1,0]],[[0,22,31,1,0],[0,43,52,1,0],[0,56,65,1,0],[0,67,76,1,0],[0,79,88,1,0],[0,92,101,1,0],[1,95,104,1,0],[1,105,115,1,0],[0,106,115,1,0],[0,115,124,1,0],[1,125,135,1,0],[0,127,136,1,0],[1,135,145,1,0],[0,138,147,1,0],[1,145,154,1,0],[0,148,157,1,0],[1,154,164,1,0],[0,162,171,1,0],[1,165,175,1,0],[0,172,181,1,0],[1,175,185,1,0],[0,181,190,1,0],[1,188,198,1,0],[0,191,200,1,0],[1,205,214,1,0],[0,206,215,1,0],[0,215,224,1,0],[1,220,230,1,0],[0,224,233,1,0],[1,230,239,1,0],[0,233,242,1,0],[1,244,254,1,0],[0,248,257,1,0],[1,254,263,1,0],[0,259,268,1,0],[1,263,273,1,0],[0,271,280,1,0],[1,273,283,1,0],[0,282,291,1,0],[1,287,297,1,0],[0,291,300,1,0],[0,300,309,1,0],[1,302,311,1,0],[0,309,318,1,0],[1,312,313,1,0],[1,314,323,1,0],[0,322,331,1,0],[1,332,341,1,0],[0,333,342,1,0],[0,342,351,1,0],[1,347,351,1,0],[1,351,360,1,0],[0,355,364,1,0],[1,360,370,1,0],[0,366,375,1,0],[1,373,383,1,0],[0,375,384,1,0],[1,392,402,1,0],[1,405,415,1,0],[1,419,429,1,0],[1,438,448,1,0],[1,448,458,1,0],[1,458,468,1,0]],[[1,95,105,1,0],[1,105,115,1,0],[1,115,125,1,0],[1,125,134,1,0],[1,134,143,1,0],[1,144,154,1,0],[1,155,164,1,0],[1,164,173,1,0],[1,173,183,1,0],[1,183,192,1,0],[1,192,201,1,0],[1,201,210,1,0],[1,210,219,1,0],[1,219,229,1,0],[1,229,238,1,0],[1,238,247,1,0],[1,249,259,1,0],[1,260,270,1,0],[1,270,280,1,0],[1,280,290,1,0],[1,290,299,1,0],[1,299,300,1,0],[1,300,310,1,0],[1,310,320,1,0],[1,320,330,1,0],[1,330,340,1,0],[1,340,350,1,0],[1,352,362,1,0],[1,362,372,1,0],[1,373,383,1,0],[1,383,387,1,0]],[[1,95,105,1,0],[1,111,121,1,0],[1,121,130,1,0],[1,130,140,1,0],[1,140,149,1,0],[1,149,159,1,0],[1,159,169,1,0],[1,169,178,1,0],[1,178,188,1,0],[1,190,200,1,0],[1,201,210,1,0],[1,210,220,1,0],[1,222,232,1,0],[1,235,244,1,0],[1,244,253,1,0],[1,253,262,1,0],[1,262,271,1,0],[1,271,281,1,0],[1,281,290,1,0],[1,290,299,1,0],[1,312,321,1,0],[1,326,335,1,0],[1,336,345,1,0],[1,354,361,1,0],[1,363,373,1,0],[1,376,386,1,0],[1,389,399,1,0],[1,403,413,1,0],[1,414,424,1,0],[1,429,439,1,0]],[[1,95,105,1,0],[1,105,115,1,0],[1,115,125,1,0],[1,140,150,1,0],[1,150,160,1,0],[1,160,170,1,0],[1,181,191,1,0],[1,195,205,1,0],[1,205,215,1,0],[1,215,224,1,0],[1,224,234,1,0],[1,235,245,1,0],[1,247,257,1,0],[1,259,269,1,0],[1,274,283,1,0],[1,283,293,1,0],[1,294,304,1,0],[1,304,313,1,0],[1,314,324,1,0],[1,326,335,1,0],[1,335,344,1,0],[1,348,357,1,0],[1,358,367,1,0],[1,367,376,1,0],[1,376,386,1,0],[1,389,398,1,0],[1,398,407,1,0],[1,409,418,1,0],[1,418,427,1,0],[1,428,434,1,0]],[[1,95,105,1,0],[1,105,115,1,0],[1,124,134,1,0],[1,134,144,1,0],[1,145,155,1,0],[1,157,167,1,0],[1,169,179,1,0],[1,179,189,1,0],[1,189,199,1,0],[1,210,220,1,0],[1,220,230,1,0],[1,235,245,1,0],[1,245,255,1,0],[1,255,265,1,0],[1,266,275,1,0],[1,277,287,1,0],[1,290,300,1,0],[1,307,317,1,0],[1,317,326,1,0],[1,326,336,1,0],[1,337,346,1,0],[1,346,355,1,0],[1,355,364,1,0],[1,364,373,1,0],[1,373,383,1,0],[1,383,386,1,0],[1,386,395,1,0],[1,397,407,1,0],[1,417,426,1,0],[1,428,437,1,0]],[[0,3,13,1,0],[0,13,23,1,0],[0,23,33,1,0],[0,33,43,1,0],[0,43,53,1,0],[0,60,70,1,0],[0,74,84,1,0],[0,93,103,1,0],[1,97,106,1,0],[1,106,116,1,0],[0,107,117,1,0],[1,116,126,1,0],[0,117,127,1,0],[1,126,136,1,0],[0,131,141,1,0],[1,136,146,1,0],[0,143,153,1,0],[1,149,158,1,0],[0,158,168,1,0],[1,168,178,1,0],[0,169,179,1,0],[1,178,188,1,0],[0,179,189,1,0],[1,188,198,1,0],[0,193,203,1,0],[1,198,208,1,0],[0,203,213,1,0],[1,209,218,1,0],[0,213,223,1,0],[1,226,234,1,0],[0,229,239,1,0],[1,234,243,1,0],[0,240,250,1,0],[1,243,253,1,0],[0,250,260,1,0],[1,253,263,1,0],[1,267,277,1,0],[0,268,278,1,0],[1,277,287,1,0],[0,278,288,1,0],[0,288,298,1,0],[1,291,298,1,0],[0,300,310,1,0],[1,302,311,1,0],[1,311,321,1,0],[0,316,326,1,0],[1,321,330,1,0],[0,337,347,1,0],[1,339,348,1,0],[0,347,357,1,0],[1,350,359,1,0],[0,357,367,1,0],[1,359,369,1,0],[0,372,380,1,0],[1,376,386,1,0],[1,391,401,1,0],[0,396,398,1,0],[0,398,408,1,0],[1,405,414,1,0],[0,420,430,1,0],[1,428,438,1,0],[1,447,457,1,0],[1,470,480,1,0]],[[0,23,33,1,0],[0,33,43,1,0],[0,45,55,1,0],[0,55,65,1,0],[0,76,86,1,0],[1,97,106,1,0],[0,98,108,1,0],[1,106,116,1,0],[0,115,125,1,0],[1,124,134,1,0],[0,126,136,1,0],[1,134,144,1,0],[0,142,152,1,0],[1,144,153,1,0],[0,154,164,1,0],[1,156,166,1,0],[0,167,177,1,0],[1,170,179,1,0],[0,177,187,1,0],[1,180,182,1,0],[1,182,191,1,0],[1,191,201,1,0],[0,195,205,1,0],[0,205,215,1,0],[1,207,217,1,0],[1,219,229,1,0],[0,220,230,1,0],[0,230,240,1,0],[1,232,242,1,0],[1,242,252,1,0],[0,243,253,1,0],[1,252,262,1,0],[0,256,266,1,0],[1,262,271,1,0],[0,266,276,1,0],[0,276,286,1,0],[1,280,289,1,0],[1,289,299,1,0],[0,290,300,1,0],[1,304,313,1,0],[0,305,315,1,0],[1,313,323,1,0],[0,316,326,1,0],[1,323,333,1,0],[0,326,336,1,0],[1,337,346,1,0],[0,339,349,1,0],[1,346,355,1,0],[0,350,360,1,0],[1,355,364,1,0],[0,361,371,1,0],[1,364,368,1,0],[0,371,381,1,0],[1,374,384,1,0],[0,384,394,1,0],[1,388,398,1,0],[1,398,408,1,0],[0,399,409,1,0],[0,409,419,1,0],[1,415,425,1,0],[1,430,440,1,0]],[[0,23,33,1,0],[0,33,43,1,0],[0,43,53,1,0],[0,59,69,1,0],[0,76,86,1,0],[0,91,101,1,0],[0,107,117,1,0],[1,116,125,1,0],[0,117,127,1,0],[0,138,148,1,0],[1,142,152,1,0],[0,148,158,1,0],[1,153,162,1,0],[0,165,175,1,0],[0,175,185,1,0],[0,189,199,1,0],[1,202,212,1,0],[0,203,209,1,0],[0,210,214,1,0],[1,215,224,1,0],[0,216,226,1,0],[1,227,236,1,0],[0,228,238,1,0],[0,238,248,1,0],[1,240,249,1,0],[1,249,258,1,0],[0,250,260,1,0],[1,258,268,1,0],[0,267,277,1,0],[0,277,287,1,0],[1,279,289,1,0],[1,289,298,1,0],[0,294,304,1,0],[0,310,320,1,0],[1,318,328,1,0],[0,323,333,1,0],[1,333,342,1,0],[1,342,349,1,0],[1,353,362,1,0],[0,354,364,1,0],[1,366,375,1,0],[0,367,377,1,0],[1,376,386,1,0],[1,402,412,1,0],[1,413,422,1,0],[1,423,433,1,0],[1,435,445,1,0],[1,446,456,1,0],[1,456,465,1,0],[1,465,475,1,0],[1,479,489,1,0],[1,489,499,1,0],[1,499,509,1,0],[1,514,524,1,0],[1,524,534,1,0],[1,534,543,1,0],[1,543,545,1,0]],[[0,7,17,1,0],[0,17,27,1,0],[0,29,39,1,0],[0,39,49,1,0],[0,52,62,1,0],[0,78,88,1,0],[1,97,106,1,0],[1,108,118,1,0],[0,112,122,1,0],[0,122,132,1,0],[1,137,147,1,0],[0,138,148,1,0],[0,148,158,1,0],[0,159,169,1,0],[1,166,176,1,0],[0,172,182,1,0],[1,177,186,1,0],[0,182,192,1,0],[0,192,202,1,0],[1,205,215,1,0],[0,207,217,1,0],[1,217,226,1,0],[0,225,235,1,0],[1,228,237,1,0],[1,237,246,1,0],[0,243,253,1,0],[1,251,260,1,0],[0,254,264,1,0],[1,261,270,1,0],[0,265,275,1,0],[1,280,290,1,0],[0,281,291,1,0],[1,291,294,1,0],[0,292,302,1,0],[1,295,305,1,0],[0,302,312,1,0],[1,310,319,1,0],[0,314,324,1,0],[1,324,334,1,0],[0,325,335,1,0],[0,339,349,1,0],[1,346,356,1,0],[0,360,370,1,0],[1,363,372,1,0],[1,372,382,1,0],[0,373,383,1,0],[0,383,393,1,0],[1,385,395,1,0],[0,395,405,1,0],[1,397,407,1,0],[0,405,415,1,0],[1,409,419,1,0],[0,420,430,1,0],[1,423,433,1,0],[1,437,447,1,0],[1,449,458,1,0],[0,450,460,1,0],[1,461,471,1,0],[1,471,481,1,0],[1,481,490,1,0],[1,490,499,1,0],[1,499,508,1,0],[1,513,519,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,63,73,1,0],[0,76,86,1,0],[0,97,107,1,0],[0,110,120,1,0],[0,124,134,1,0],[1,134,144,1,0],[0,135,145,1,0],[1,144,153,1,0],[0,148,158,1,0],[0,158,168,1,0],[0,172,182,1,0],[1,176,186,1,0],[0,182,192,1,0],[0,193,203,1,0],[1,201,210,1,0],[0,204,214,1,0],[0,214,224,1,0],[1,219,228,1,0],[1,228,237,1,0],[0,233,243,1,0],[1,240,249,1,0],[0,243,253,1,0],[1,253,262,1,0],[0,254,264,1,0],[0,264,274,1,0],[1,276,285,1,0],[0,282,292,1,0],[0,292,302,1,0],[1,295,304,1,0],[0,302,312,1,0],[0,312,322,1,0],[1,314,323,1,0],[1,324,333,1,0],[0,325,335,1,0],[0,335,345,1,0],[1,337,346,1,0],[1,348,357,1,0],[0,349,359,1,0],[0,367,377,1,0],[1,373,382,1,0],[0,382,392,1,0],[1,385,395,1,0],[1,397,406,1,0],[0,400,402,1,0],[1,406,415,1,0],[0,415,423,1,0],[1,427,436,1,0],[1,441,447,1,0],[1,447,457,1,0],[1,459,468,1,0],[1,468,477,1,0],[1,477,486,1,0],[1,489,498,1,0],[1,498,502,1,0],[1,505,514,1,0],[1,514,523,1,0],[1,523,533,1,0],[1,534,544,1,0],[1,544,553,1,0],[1,553,562,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,21,31,1,0],[0,31,41,1,0],[0,49,59,1,0],[0,73,83,1,0],[0,94,104,1,0],[0,105,115,1,0],[0,117,127,1,0],[1,132,142,1,0],[0,133,143,1,0],[1,142,151,1,0],[0,144,154,1,0],[0,156,166,1,0],[1,162,172,1,0],[0,171,181,1,0],[0,183,193,1,0],[0,193,203,1,0],[1,194,204,1,0],[1,207,216,1,0],[0,208,218,1,0],[1,216,225,1,0],[0,219,229,1,0],[1,227,236,1,0],[0,234,244,1,0],[1,239,248,1,0],[0,244,254,1,0],[1,248,257,1,0],[0,260,270,1,0],[0,271,281,1,0],[1,281,291,1,0],[0,282,292,1,0],[1,291,300,1,0],[0,293,303,1,0],[1,300,310,1,0],[0,304,314,1,0],[0,315,325,1,0],[1,319,328,1,0],[0,326,336,1,0],[1,333,342,1,0],[0,336,346,1,0],[1,342,351,1,0],[0,350,360,1,0],[1,352,361,1,0],[1,361,371,1,0],[0,363,373,1,0],[1,373,382,1,0],[0,374,384,1,0],[1,382,391,1,0],[0,384,394,1,0],[1,395,404,1,0],[0,396,406,1,0],[1,410,419,1,0],[1,419,428,1,0],[1,431,440,1,0],[1,440,449,1,0],[1,449,458,1,0],[1,458,467,1,0],[1,467,476,1,0],[1,484,494,1,0],[1,494,503,1,0],[1,504,513,1,0],[1,513,522,1,0]],[[0,18,28,1,0],[0,28,34,1,0],[0,34,44,1,0],[0,50,60,1,0],[0,64,74,1,0],[0,83,93,1,0],[1,97,107,1,0],[0,98,108,1,0],[1,107,117,1,0],[0,110,120,1,0],[1,118,128,1,0],[0,124,134,1,0],[0,134,144,1,0],[1,138,148,1,0],[0,148,158,1,0],[0,162,172,1,0],[1,168,178,1,0],[1,178,188,1,0],[0,182,192,1,0],[1,190,200,1,0],[0,192,202,1,0],[1,200,210,1,0],[0,204,208,1,0],[0,208,218,1,0],[1,212,222,1,0],[0,221,231,1,0],[1,223,233,1,0],[0,233,243,1,0],[1,239,249,1,0],[1,250,260,1,0],[0,258,268,1,0],[0,268,278,1,0],[1,271,281,1,0],[0,278,288,1,0],[1,281,291,1,0],[0,288,298,1,0],[1,292,302,1,0],[0,299,309,1,0],[1,306,316,1,0],[1,316,326,1,0],[0,319,329,1,0],[0,333,343,1,0],[1,335,345,1,0],[1,356,366,1,0],[0,358,368,1,0],[1,368,378,1,0],[1,392,402,1,0],[1,407,417,1,0],[1,423,433,1,0],[1,436,446,1,0],[1,446,452,1,0],[1,456,466,1,0],[1,466,476,1,0],[1,476,486,1,0],[1,487,497,1,0]],[[0,0,10,1,0],[0,13,23,1,0],[0,23,33,1,0],[0,34,44,1,0],[0,45,55,1,0],[0,63,73,1,0],[0,95,105,1,0],[1,98,108,1,0],[1,108,118,1,0],[0,109,119,1,0],[1,118,128,1,0],[0,124,134,1,0],[1,135,145,1,0],[0,139,149,1,0],[1,145,155,1,0],[0,149,159,1,0],[1,155,165,1,0],[0,163,173,1,0],[1,165,175,1,0],[1,175,185,1,0],[0,176,178,1,0],[0,178,188,1,0],[0,191,201,1,0],[1,193,203,1,0],[0,203,213,1,0],[1,207,217,1,0],[1,224,234,1,0],[0,225,235,1,0],[0,235,245,1,0],[1,244,254,1,0],[0,245,255,1,0],[0,256,266,1,0],[1,266,276,1,0],[0,271,277,1,0],[1,276,286,1,0],[0,280,284,1,0],[0,286,296,1,0],[1,291,301,1,0],[0,296,306,1,0],[1,301,311,1,0],[0,311,321,1,0],[1,314,324,1,0],[0,322,332,1,0],[1,325,335,1,0],[0,332,342,1,0],[1,335,345,1,0],[0,342,352,1,0],[1,345,355,1,0],[0,356,366,1,0],[1,363,373,1,0],[0,375,383,1,0],[1,379,389,1,0],[0,383,393,1,0],[0,393,403,1,0],[1,403,413,1,0],[0,404,414,1,0],[1,415,421,1,0],[1,421,431,1,0],[0,428,438,1,0],[1,431,441,1,0],[1,441,451,1,0],[1,454,464,1,0],[1,468,478,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,30,40,1,0],[0,41,51,1,0],[0,60,70,1,0],[0,86,96,1,0],[0,96,106,1,0],[1,101,111,1,0],[0,106,116,1,0],[0,116,126,1,0],[1,125,135,1,0],[0,126,136,1,0],[0,136,146,1,0],[0,154,164,1,0],[1,167,177,1,0],[0,168,170,1,0],[0,170,180,1,0],[0,180,190,1,0],[1,184,194,1,0],[0,190,200,1,0],[1,197,207,1,0],[0,203,213,1,0],[1,215,225,1,0],[0,216,226,1,0],[0,228,238,1,0],[0,240,250,1,0],[1,244,254,1,0],[0,256,266,1,0],[1,259,269,1,0],[0,266,276,1,0],[1,269,279,1,0],[1,281,291,1,0],[0,282,292,1,0],[1,291,301,1,0],[0,292,302,1,0],[1,305,314,1,0],[0,306,316,1,0],[0,316,326,1,0],[1,323,333,1,0],[0,326,336,1,0],[0,336,346,1,0],[1,341,351,1,0],[0,346,356,1,0],[1,354,364,1,0],[0,370,380,1,0],[1,374,384,1,0],[0,381,389,1,0],[1,384,394,1,0],[0,389,399,1,0],[1,395,396,1,0],[1,399,408,1,0],[1,408,417,1,0],[1,417,427,1,0],[1,429,439,1,0],[1,440,449,1,0],[1,456,465,1,0],[1,465,475,1,0],[1,479,489,1,0],[1,489,499,1,0],[1,499,509,1,0],[1,509,519,1,0],[1,519,529,1,0]],[[0,0,10,1,0],[0,14,24,1,0],[0,24,34,1,0],[0,34,44,1,0],[0,44,54,1,0],[0,65,75,1,0],[0,83,93,1,0],[1,99,109,1,0],[0,104,114,1,0],[0,114,124,1,0],[0,125,135,1,0],[1,135,145,1,0],[0,138,148,1,0],[1,145,155,1,0],[0,148,158,1,0],[1,157,167,1,0],[0,161,171,1,0],[1,168,178,1,0],[0,173,183,1,0],[1,178,188,1,0],[1,189,199,1,0],[0,190,200,1,0],[0,200,210,1,0],[0,213,223,1,0],[1,223,233,1,0],[0,224,234,1,0],[1,233,243,1,0],[0,234,244,1,0],[1,243,253,1,0],[0,248,258,1,0],[1,255,265,1,0],[0,260,270,1,0],[1,265,275,1,0],[0,271,281,1,0],[1,275,284,1,0],[1,284,294,1,0],[0,288,298,1,0],[1,298,308,1,0],[0,300,310,1,0],[1,312,322,1,0],[0,314,324,1,0],[1,322,332,1,0],[0,324,334,1,0],[1,333,343,1,0],[0,334,344,1,0],[1,343,353,1,0],[0,346,356,1,0],[1,355,361,1,0],[0,359,369,1,0],[1,361,371,1,0],[0,369,379,1,0],[1,371,381,1,0],[0,379,389,1,0],[1,386,395,1,0],[0,389,399,1,0],[1,400,409,1,0],[1,409,419,1,0],[1,419,429,1,0],[1,429,439,1,0],[1,439,449,1,0],[1,449,458,1,0],[1,460,464,1,0]],[[0,1,11,1,0],[0,11,21,1,0],[0,27,37,1,0],[0,45,55,1,0],[0,65,75,1,0],[0,80,90,1,0],[0,90,96,1,0],[0,97,107,1,0],[1,103,112,1,0],[1,112,122,1,0],[0,114,124,1,0],[1,125,134,1,0],[0,126,136,1,0],[1,135,144,1,0],[0,143,153,1,0],[1,144,153,1,0],[1,153,163,1,0],[0,154,164,1,0],[1,163,172,1,0],[0,170,180,1,0],[1,172,181,1,0],[0,180,190,1,0],[1,188,197,1,0],[0,193,203,1,0],[1,200,209,1,0],[0,204,214,1,0],[1,209,218,1,0],[1,219,229,1,0],[0,220,230,1,0],[1,231,241,1,0],[0,234,244,1,0],[1,243,252,1,0],[0,249,259,1,0],[1,252,261,1,0],[0,260,270,1,0],[1,263,273,1,0],[1,274,280,1,0],[0,279,289,1,0],[1,281,291,1,0],[0,291,301,1,0],[1,297,305,1,0],[1,305,315,1,0],[0,306,310,1,0],[0,310,320,1,0],[1,320,329,1,0],[0,321,331,1,0],[1,329,338,1,0],[0,332,342,1,0],[1,340,349,1,0],[1,350,359,1,0],[1,359,368,1,0],[1,368,378,1,0],[1,384,393,1,0],[1,394,404,1,0],[1,404,413,1,0],[1,415,425,1,0],[1,437,447,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,30,40,1,0],[0,40,50,1,0],[0,56,66,1,0],[0,85,95,1,0],[0,97,107,1,0],[1,100,109,1,0],[0,116,126,1,0],[1,118,128,1,0],[1,128,138,1,0],[0,129,131,1,0],[0,131,141,1,0],[1,138,147,1,0],[0,141,151,1,0],[1,147,156,1,0],[0,151,161,1,0],[1,156,166,1,0],[0,162,172,1,0],[1,166,176,1,0],[1,178,187,1,0],[1,187,196,1,0],[0,188,198,1,0],[1,196,205,1,0],[0,198,208,1,0],[1,205,215,1,0],[0,214,224,1,0],[1,219,229,1,0],[0,224,234,1,0],[1,230,239,1,0],[1,239,241,1,0],[1,243,252,1,0],[0,244,254,1,0],[1,253,262,1,0],[0,254,264,1,0],[1,264,273,1,0],[0,265,275,1,0],[0,275,285,1,0],[1,279,282,1,0],[1,286,296,1,0],[0,292,302,1,0],[1,297,306,1,0],[1,307,316,1,0],[0,308,318,1,0],[1,316,326,1,0],[0,318,328,1,0],[1,327,337,1,0],[0,336,346,1,0],[1,339,348,1,0],[0,346,356,1,0],[1,349,359,1,0],[0,356,364,1,0],[1,359,368,1,0],[0,364,370,1,0],[1,370,379,1,0],[0,378,388,1,0],[1,386,395,1,0],[0,388,398,1,0],[0,398,408,1,0],[1,400,409,1,0],[0,414,424,1,0],[1,416,425,1,0],[1,426,435,1,0],[1,441,451,1,0],[0,461,465,1,0]],[[0,0,10,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,72,82,1,0],[0,82,92,1,0],[1,98,107,1,0],[0,99,109,1,0],[1,107,117,1,0],[0,112,122,1,0],[0,123,133,1,0],[1,125,135,1,0],[1,135,144,1,0],[0,136,138,1,0],[0,138,148,1,0],[1,144,145,1,0],[1,145,155,1,0],[0,148,158,1,0],[1,155,165,1,0],[0,158,168,1,0],[1,165,174,1,0],[1,174,184,1,0],[0,176,186,1,0],[1,184,193,1,0],[0,186,196,1,0],[1,193,202,1,0],[0,197,207,1,0],[1,204,214,1,0],[0,207,217,1,0],[1,214,224,1,0],[0,217,227,1,0],[1,227,237,1,0],[1,237,247,1,0],[0,238,246,1,0],[1,247,257,1,0],[0,250,260,1,0],[1,257,267,1,0],[0,260,270,1,0],[1,267,277,1,0],[0,270,280,1,0],[1,277,287,1,0],[0,280,290,1,0],[1,288,297,1,0],[0,290,300,1,0],[1,297,306,1,0],[0,300,310,1,0],[1,306,316,1,0],[0,310,320,1,0],[1,321,331,1,0],[0,322,332,1,0],[1,331,341,1,0],[0,336,346,1,0],[1,348,350,1,0],[1,354,364,1,0],[0,355,365,1,0],[0,365,375,1,0],[1,371,381,1,0],[1,382,392,1,0],[0,387,397,1,0],[1,392,402,1,0],[1,405,415,1,0],[1,425,435,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,44,54,1,0],[0,54,64,1,0],[0,73,83,1,0],[0,89,99,1,0],[1,97,107,1,0],[0,105,115,1,0],[1,110,120,1,0],[0,116,126,1,0],[1,121,130,1,0],[0,128,138,1,0],[1,130,135,1,0],[1,136,145,1,0],[0,141,151,1,0],[1,148,157,1,0],[0,153,163,1,0],[1,157,167,1,0],[0,164,174,1,0],[1,167,176,1,0],[0,176,186,1,0],[1,178,187,1,0],[1,188,198,1,0],[0,189,199,1,0],[1,199,209,1,0],[0,204,214,1,0],[1,219,229,1,0],[0,220,230,1,0],[1,229,239,1,0],[0,230,240,1,0],[0,240,250,1,0],[1,247,257,1,0],[0,251,261,1,0],[1,257,267,1,0],[0,265,275,1,0],[1,269,278,1,0],[0,276,286,1,0],[1,278,288,1,0],[0,286,296,1,0],[1,289,299,1,0],[0,301,311,1,0],[1,313,321,1,0],[0,314,324,1,0],[0,327,337,1,0],[1,332,341,1,0],[0,337,347,1,0],[1,346,356,1,0],[0,347,357,1,0],[1,358,368,1,0],[0,359,369,1,0],[1,368,378,1,0],[0,369,379,1,0],[1,386,396,1,0],[0,392,402,1,0],[1,399,409,1,0],[1,412,422,1,0],[1,429,439,1,0],[1,439,449,1,0],[1,449,459,1,0],[1,460,470,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,39,49,1,0],[0,49,59,1,0],[0,64,74,1,0],[0,84,94,1,0],[0,98,108,1,0],[1,111,120,1,0],[0,112,122,1,0],[0,122,132,1,0],[1,124,134,1,0],[1,134,144,1,0],[0,141,151,1,0],[1,147,156,1,0],[0,151,161,1,0],[1,159,169,1,0],[0,164,174,1,0],[0,179,189,1,0],[0,191,201,1,0],[1,193,203,1,0],[0,201,211,1,0],[1,205,215,1,0],[0,212,222,1,0],[1,217,225,1,0],[1,225,235,1,0],[1,236,246,1,0],[0,241,251,1,0],[1,249,259,1,0],[0,251,261,1,0],[0,262,272,1,0],[1,264,274,1,0],[0,272,282,1,0],[1,277,286,1,0],[0,283,293,1,0],[1,290,299,1,0],[0,293,303,1,0],[1,307,311,1,0],[0,310,320,1,0],[1,313,323,1,0],[0,322,328,1,0],[1,324,333,1,0],[1,335,344,1,0],[1,344,353,1,0],[0,348,352,1,0],[1,353,362,1,0],[1,365,374,1,0],[1,376,385,1,0],[1,386,396,1,0],[1,396,405,1,0],[1,408,417,1,0],[1,417,426,1,0],[1,426,435,1,0],[1,438,447,1,0],[1,448,458,1,0],[1,459,468,1,0],[1,468,478,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,30,40,1,0],[0,40,50,1,0],[0,50,60,1,0],[0,65,75,1,0],[0,83,93,1,0],[1,98,108,1,0],[0,100,110,1,0],[0,116,126,1,0],[0,129,139,1,0],[1,135,145,1,0],[0,139,149,1,0],[0,154,164,1,0],[1,159,168,1,0],[0,165,175,1,0],[1,168,178,1,0],[0,179,189,1,0],[1,181,191,1,0],[1,193,203,1,0],[0,195,205,1,0],[0,208,218,1,0],[1,211,221,1,0],[0,221,231,1,0],[1,228,238,1,0],[0,237,247,1,0],[1,247,257,1,0],[0,248,254,1,0],[0,259,269,1,0],[1,265,274,1,0],[0,269,279,1,0],[1,279,289,1,0],[0,282,292,1,0],[1,293,303,1,0],[0,298,308,1,0],[1,309,319,1,0],[0,311,321,1,0],[0,321,323,1,0],[0,323,333,1,0],[1,330,340,1,0],[0,334,344,1,0],[1,342,351,1,0],[0,344,354,1,0],[1,352,361,1,0],[1,362,371,1,0],[1,372,381,1,0],[0,377,387,1,0],[1,383,392,1,0],[0,387,397,1,0],[1,397,406,1,0],[1,406,415,1,0],[0,408,416,1,0],[1,415,425,1,0],[1,427,436,1,0],[0,429,439,1,0],[1,436,445,1,0],[1,451,461,1,0],[0,459,463,1,0],[1,461,470,1,0],[1,470,479,1,0],[1,480,489,1,0],[1,489,498,1,0],[1,501,510,1,0],[1,516,518,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,30,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,67,75,1,0],[0,76,86,1,0],[0,86,96,1,0],[0,99,109,1,0],[1,105,115,1,0],[0,111,121,1,0],[1,115,125,1,0],[1,125,134,1,0],[0,126,136,1,0],[0,136,146,1,0],[1,141,151,1,0],[0,146,156,1,0],[1,151,153,1,0],[1,153,162,1,0],[0,156,166,1,0],[1,162,171,1,0],[1,171,180,1,0],[0,176,186,1,0],[1,180,189,1,0],[0,186,196,1,0],[1,192,201,1,0],[0,196,206,1,0],[1,201,210,1,0],[0,210,220,1,0],[1,221,230,1,0],[0,223,233,1,0],[1,230,240,1,0],[0,233,243,1,0],[1,240,249,1,0],[0,243,253,1,0],[1,249,258,1,0],[1,259,268,1,0],[0,260,270,1,0],[1,268,277,1,0],[0,270,280,1,0],[1,280,289,1,0],[0,281,291,1,0],[1,291,300,1,0],[0,292,302,1,0],[1,300,309,1,0],[0,302,312,1,0],[1,309,318,1,0],[0,312,322,1,0],[1,324,333,1,0],[0,325,335,1,0],[1,333,342,1,0],[1,342,351,1,0],[0,343,353,1,0],[1,353,362,1,0],[0,354,364,1,0],[1,365,374,1,0],[1,374,383,1,0],[1,383,392,1,0],[0,386,396,1,0],[1,393,402,1,0],[1,402,412,1,0],[1,416,426,1,0],[1,435,443,1,0]],[[0,0,10,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,63,73,1,0],[0,79,89,1,0],[0,90,100,1,0],[1,98,107,1,0],[0,107,117,1,0],[0,117,127,1,0],[0,128,138,1,0],[1,141,151,1,0],[0,144,154,1,0],[1,151,161,1,0],[0,156,166,1,0],[1,161,170,1,0],[0,167,177,1,0],[1,170,179,1,0],[1,179,188,1,0],[0,186,196,1,0],[1,191,200,1,0],[0,197,207,1,0],[1,202,208,1,0],[0,207,217,1,0],[1,209,218,1,0],[0,218,228,1,0],[1,221,230,1,0],[1,230,239,1,0],[0,231,237,1,0],[0,237,239,1,0],[0,239,249,1,0],[1,242,251,1,0],[0,249,259,1,0],[1,251,260,1,0],[1,262,272,1,0],[0,263,273,1,0],[1,272,281,1,0],[0,273,283,1,0],[0,283,293,1,0],[1,289,299,1,0],[0,296,306,1,0],[1,299,308,1,0],[0,307,317,1,0],[1,309,318,1,0],[0,317,327,1,0],[1,320,329,1,0],[1,329,338,1,0],[0,331,341,1,0],[1,338,348,1,0],[1,348,357,1,0],[1,366,375,1,0],[0,367,377,1,0],[1,377,386,1,0],[0,383,391,1,0],[1,388,397,1,0],[0,391,401,1,0],[1,397,406,1,0],[1,406,415,1,0],[0,418,422,1,0],[1,424,434,1,0],[1,434,443,1,0],[1,443,452,1,0],[1,452,456,1,0],[1,457,466,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,23,33,1,0],[0,33,43,1,0],[0,48,58,1,0],[0,62,72,1,0],[0,81,87,1,0],[0,87,97,1,0],[1,97,107,1,0],[0,98,108,1,0],[0,109,119,1,0],[1,118,128,1,0],[0,123,133,1,0],[0,136,146,1,0],[1,137,147,1,0],[1,147,157,1,0],[0,154,164,1,0],[1,157,167,1,0],[0,165,175,1,0],[1,171,181,1,0],[1,181,191,1,0],[0,182,192,1,0],[1,191,201,1,0],[0,194,204,1,0],[1,202,212,1,0],[0,206,216,1,0],[1,214,224,1,0],[0,218,228,1,0],[1,224,234,1,0],[0,232,242,1,0],[1,236,246,1,0],[0,246,256,1,0],[1,249,259,1,0],[0,265,275,1,0],[0,275,285,1,0],[1,277,287,1,0],[1,289,299,1,0],[0,290,300,1,0],[1,301,311,1,0],[0,308,318,1,0],[1,313,317,1,0],[1,317,327,1,0],[0,325,329,1,0],[1,327,337,1,0],[1,337,347,1,0],[0,339,349,1,0],[1,347,357,1,0],[1,360,370,1,0],[1,370,380,1,0],[1,381,391,1,0],[1,391,401,1,0],[1,401,403,1,0],[1,406,416,1,0],[1,416,426,1,0],[1,428,438,1,0],[1,444,454,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,30,40,1,0],[0,40,50,1,0],[0,50,60,1,0],[0,65,75,1,0],[0,76,86,1,0],[0,88,98,1,0],[1,98,108,1,0],[0,101,111,1,0],[1,111,121,1,0],[0,114,124,1,0],[1,121,131,1,0],[1,134,144,1,0],[0,136,146,1,0],[1,145,155,1,0],[0,151,161,1,0],[1,155,165,1,0],[0,161,171,1,0],[1,170,180,1,0],[0,171,181,1,0],[1,183,193,1,0],[0,187,197,1,0],[1,193,203,1,0],[0,200,210,1,0],[1,208,218,1,0],[0,211,221,1,0],[1,220,230,1,0],[1,231,241,1,0],[0,234,244,1,0],[1,243,253,1,0],[0,244,254,1,0],[1,255,265,1,0],[0,257,267,1,0],[0,267,277,1,0],[1,271,281,1,0],[0,279,289,1,0],[1,281,291,1,0],[0,289,299,1,0],[1,291,301,1,0],[1,301,311,1,0],[0,304,314,1,0],[1,313,323,1,0],[0,319,329,1,0],[1,325,335,1,0],[0,333,343,1,0],[1,337,347,1,0],[1,347,357,1,0],[0,351,361,1,0],[1,359,369,1,0],[0,361,371,1,0],[0,371,381,1,0],[1,374,384,1,0],[1,388,398,1,0],[1,399,409,1,0],[0,400,410,1,0],[1,417,423,1,0],[1,423,433,1,0],[0,431,441,1,0],[1,435,445,1,0]],[[0,0,10,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,72,78,1,0],[0,78,88,1,0],[0,88,98,1,0],[1,98,107,1,0],[0,99,109,1,0],[1,107,117,1,0],[0,111,121,1,0],[0,122,132,1,0],[0,136,146,1,0],[1,141,151,1,0],[0,146,156,1,0],[1,151,161,1,0],[0,156,166,1,0],[1,163,173,1,0],[0,166,176,1,0],[1,177,187,1,0],[0,182,192,1,0],[1,189,199,1,0],[1,199,206,1,0],[0,200,210,1,0],[1,206,216,1,0],[0,210,220,1,0],[1,217,227,1,0],[0,220,230,1,0],[1,228,238,1,0],[0,231,241,1,0],[1,247,256,1,0],[0,249,259,1,0],[1,256,266,1,0],[0,259,269,1,0],[1,266,276,1,0],[0,269,279,1,0],[1,276,286,1,0],[0,279,289,1,0],[1,286,295,1,0],[0,293,303,1,0],[1,308,318,1,0],[0,309,319,1,0],[0,319,329,1,0],[1,323,332,1,0],[0,329,339,1,0],[1,332,341,1,0],[1,344,353,1,0],[0,344,354,1,0],[1,353,363,1,0],[1,363,373,1,0],[1,373,383,1,0],[0,375,385,1,0],[1,383,393,1,0],[1,400,409,1,0],[1,411,421,1,0],[0,413,417,1,0],[1,432,442,1,0],[1,442,452,1,0],[1,454,464,1,0],[1,464,470,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,30,40,1,0],[0,40,42,1,0],[0,42,48,1,0],[0,49,59,1,0],[0,59,69,1,0],[0,70,80,1,0],[0,80,90,1,0],[0,90,100,1,0],[1,98,108,1,0],[0,102,112,1,0],[0,112,122,1,0],[1,114,124,1,0],[0,122,132,1,0],[1,130,140,1,0],[0,137,147,1,0],[1,144,154,1,0],[1,154,164,1,0],[0,155,165,1,0],[1,165,175,1,0],[0,166,176,1,0],[1,175,185,1,0],[0,177,187,1,0],[1,191,201,1,0],[0,194,204,1,0],[1,203,212,1,0],[0,209,219,1,0],[1,212,221,1,0],[1,221,231,1,0],[0,224,234,1,0],[0,234,242,1,0],[1,240,250,1,0],[0,243,253,1,0],[1,250,253,1,0],[1,258,268,1,0],[0,259,269,1,0],[1,268,278,1,0],[0,273,283,1,0],[1,278,287,1,0],[0,284,294,1,0],[1,289,299,1,0],[1,299,309,1,0],[0,299,309,1,0],[1,309,319,1,0],[0,310,320,1,0],[1,319,328,1,0],[0,328,338,1,0],[1,337,347,1,0],[0,339,349,1,0],[1,347,357,1,0],[1,359,368,1,0],[0,360,370,1,0],[0,371,375,1,0],[1,375,384,1,0],[0,376,386,1,0],[1,389,398,1,0],[0,390,400,1,0],[1,398,408,1,0],[1,408,418,1,0],[1,418,428,1,0],[1,428,438,1,0],[1,438,448,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,79,89,1,0],[1,97,106,1,0],[0,99,109,1,0],[1,106,115,1,0],[0,113,123,1,0],[1,115,124,1,0],[1,124,133,1,0],[0,125,135,1,0],[1,133,142,1,0],[0,135,145,1,0],[1,142,152,1,0],[0,148,158,1,0],[1,152,162,1,0],[1,162,172,1,0],[0,163,173,1,0],[1,173,183,1,0],[0,174,184,1,0],[1,184,194,1,0],[0,186,196,1,0],[1,194,204,1,0],[1,204,214,1,0],[0,207,217,1,0],[1,216,225,1,0],[0,217,227,1,0],[1,226,228,1,0],[1,228,238,1,0],[0,229,239,1,0],[1,241,250,1,0],[0,242,252,1,0],[1,252,261,1,0],[0,253,263,1,0],[1,266,275,1,0],[0,270,280,1,0],[1,276,286,1,0],[0,280,290,1,0],[1,286,296,1,0],[0,297,307,1,0],[1,302,311,1,0],[1,311,321,1,0],[0,316,326,1,0],[1,324,334,1,0],[1,336,345,1,0],[1,345,355,1,0],[1,355,364,1,0],[1,365,374,1,0],[1,381,390,1,0],[1,392,402,1,0],[1,402,411,1,0],[1,418,427,1,0]],[[0,0,10,1,0],[0,12,22,1,0],[0,24,34,1,0],[0,34,44,1,0],[0,45,55,1,0],[0,55,65,1,0],[0,65,75,1,0],[0,75,85,1,0],[0,85,95,1,0],[1,98,107,1,0],[0,99,109,1,0],[1,110,119,1,0],[0,114,124,1,0],[1,119,129,1,0],[0,124,134,1,0],[0,135,145,1,0],[1,140,149,1,0],[1,149,159,1,0],[0,151,161,1,0],[1,159,165,1,0],[0,161,171,1,0],[1,168,177,1,0],[0,177,187,1,0],[1,178,187,1,0],[1,188,197,1,0],[0,191,201,1,0],[1,197,206,1,0],[0,202,212,1,0],[1,209,219,1,0],[0,213,223,1,0],[1,219,225,1,0],[1,225,234,1,0],[0,226,236,1,0],[1,234,243,1,0],[0,240,250,1,0],[1,246,256,1,0],[0,256,266,1,0],[1,259,269,1,0],[0,266,276,1,0],[0,276,286,1,0],[1,284,293,1,0],[1,294,303,1,0],[0,295,305,1,0],[1,308,317,1,0],[0,310,320,1,0],[1,320,329,1,0],[0,321,331,1,0],[1,329,338,1,0],[0,334,344,1,0],[1,342,351,1,0],[0,347,357,1,0],[1,358,367,1,0],[1,367,377,1,0],[0,370,380,1,0],[1,379,389,1,0],[0,389,399,1,0],[1,393,403,1,0],[1,403,413,1,0],[0,409,419,1,0],[1,419,429,1,0],[1,429,439,1,0],[1,439,449,1,0],[1,451,461,1,0]],[[0,2,12,1,0],[0,12,18,1,0],[0,18,28,1,0],[0,28,38,1,0],[0,38,48,1,0],[0,48,58,1,0],[0,58,68,1,0],[0,68,78,1,0],[0,78,88,1,0],[0,88,98,1,0],[1,97,107,1,0],[0,104,114,1,0],[0,114,124,1,0],[1,119,129,1,0],[0,124,134,1,0],[1,129,138,1,0],[0,134,144,1,0],[1,138,147,1,0],[0,145,155,1,0],[1,147,157,1,0],[0,155,165,1,0],[1,157,167,1,0],[0,165,175,1,0],[1,167,177,1,0],[0,175,179,1,0],[1,177,186,1,0],[0,181,191,1,0],[1,187,197,1,0],[0,191,201,1,0],[1,199,203,1,0],[1,203,213,1,0],[0,204,214,1,0],[1,215,225,1,0],[0,216,226,1,0],[1,225,235,1,0],[0,226,236,1,0],[1,235,245,1,0],[0,238,248,1,0],[1,246,256,1,0],[0,252,262,1,0],[1,256,266,1,0],[1,266,276,1,0],[0,268,278,1,0],[1,276,286,1,0],[0,284,294,1,0],[1,286,296,1,0],[0,294,304,1,0],[1,298,308,1,0],[0,304,314,1,0],[1,308,318,1,0],[0,317,327,1,0],[1,320,330,1,0],[0,327,337,1,0],[1,330,340,1,0],[1,340,350,1,0],[0,351,361,1,0],[1,356,366,1,0],[1,366,376,1,0],[0,371,381,1,0],[1,378,387,1,0],[1,395,405,1,0],[1,407,417,1,0],[1,420,426,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,34,1,0],[0,38,48,1,0],[0,48,58,1,0],[0,60,70,1,0],[0,70,80,1,0],[0,80,90,1,0],[0,91,97,1,0],[1,97,107,1,0],[0,98,108,1,0],[0,108,118,1,0],[0,118,128,1,0],[1,121,131,1,0],[0,128,138,1,0],[1,133,143,1,0],[0,140,150,1,0],[1,146,155,1,0],[0,153,163,1,0],[1,161,170,1,0],[0,165,175,1,0],[1,170,180,1,0],[0,177,187,1,0],[1,183,193,1,0],[0,188,198,1,0],[1,196,206,1,0],[0,201,211,1,0],[1,208,218,1,0],[0,213,223,1,0],[1,222,232,1,0],[0,226,236,1,0],[1,235,245,1,0],[0,236,246,1,0],[1,248,256,1,0],[0,249,259,1,0],[1,260,270,1,0],[0,261,271,1,0],[1,272,282,1,0],[0,275,285,1,0],[0,288,298,1,0],[1,295,304,1,0],[1,308,318,1,0],[0,309,319,1,0],[1,321,331,1,0],[0,323,333,1,0],[1,331,341,1,0],[0,333,343,1,0],[1,343,353,1,0],[0,346,356,1,0],[1,355,365,1,0],[0,360,364,1,0],[0,366,374,1,0],[1,370,380,1,0],[0,377,387,1,0],[1,382,392,1,0],[1,392,402,1,0],[1,402,412,1,0],[1,417,427,1,0],[1,431,441,1,0],[1,441,451,1,0],[1,451,461,1,0],[1,461,470,1,0],[1,470,472,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,53,63,1,0],[0,64,74,1,0],[0,74,84,1,0],[0,93,103,1,0],[1,97,107,1,0],[0,104,114,1,0],[1,115,125,1,0],[0,116,126,1,0],[1,125,134,1,0],[0,131,141,1,0],[1,136,146,1,0],[0,141,151,1,0],[1,148,158,1,0],[0,151,161,1,0],[1,159,168,1,0],[0,167,177,1,0],[1,168,177,1,0],[1,177,186,1,0],[0,179,189,1,0],[1,188,198,1,0],[0,189,199,1,0],[1,198,207,1,0],[0,207,217,1,0],[1,214,224,1,0],[1,224,233,1,0],[0,226,236,1,0],[1,233,242,1,0],[0,236,246,1,0],[1,242,251,1,0],[1,251,261,1,0],[0,252,262,1,0],[0,262,272,1,0],[1,265,274,1,0],[1,278,288,1,0],[0,279,289,1,0],[1,289,298,1,0],[0,290,300,1,0],[1,298,302,1,0],[1,302,311,1,0],[1,311,320,1,0],[1,321,330,1,0],[1,330,339,1,0],[0,331,341,1,0],[1,345,355,1,0],[1,357,367,1,0],[1,371,380,1,0],[1,380,389,1,0],[1,391,400,1,0],[1,400,409,1,0],[1,409,418,1,0],[1,418,419,1,0],[1,426,436,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,31,41,1,0],[0,41,51,1,0],[0,51,61,1,0],[0,61,71,1,0],[0,71,81,1,0],[0,83,93,1,0],[0,94,104,1,0],[1,98,108,1,0],[0,108,118,1,0],[1,110,120,1,0],[0,118,128,1,0],[1,126,136,1,0],[0,128,138,1,0],[0,139,149,1,0],[1,143,153,1,0],[0,150,160,1,0],[1,155,164,1,0],[1,164,173,1,0],[0,168,178,1,0],[1,178,188,1,0],[0,184,194,1,0],[1,192,201,1,0],[0,195,205,1,0],[1,203,212,1,0],[0,209,219,1,0],[1,212,221,1,0],[0,219,229,1,0],[1,221,230,1,0],[0,231,241,1,0],[1,234,244,1,0],[1,244,253,1,0],[0,245,255,1,0],[1,253,263,1,0],[0,256,266,1,0],[1,263,273,1,0],[0,267,277,1,0],[1,274,284,1,0],[0,278,288,1,0],[1,287,293,1,0],[0,290,300,1,0],[1,301,310,1,0],[0,306,316,1,0],[1,310,320,1,0],[1,322,332,1,0],[0,333,343,1,0],[1,337,346,1,0],[0,344,354,1,0],[1,346,355,1,0],[0,356,366,1,0],[1,362,371,1,0],[1,373,382,1,0],[0,374,384,1,0],[1,382,391,1,0],[1,396,405,1,0],[1,405,414,1,0],[1,414,423,1,0],[1,425,434,1,0],[0,432,442,1,0],[1,439,447,1,0],[1,447,456,1,0]],[[0,0,10,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,62,72,1,0],[0,72,78,1,0],[0,78,88,1,0],[0,89,99,1,0],[1,98,107,1,0],[0,100,110,1,0],[1,107,116,1,0],[0,110,120,1,0],[1,116,125,1,0],[0,120,130,1,0],[1,125,134,1,0],[0,132,142,1,0],[1,134,144,1,0],[0,142,152,1,0],[1,144,153,1,0],[0,154,164,1,0],[1,165,173,1,0],[0,166,176,1,0],[1,173,183,1,0],[0,176,186,1,0],[1,184,194,1,0],[0,186,196,1,0],[1,195,205,1,0],[0,196,206,1,0],[1,205,215,1,0],[0,206,216,1,0],[1,215,225,1,0],[0,217,227,1,0],[1,227,236,1,0],[0,228,238,1,0],[1,237,246,1,0],[0,239,249,1,0],[1,246,248,1,0],[1,249,258,1,0],[0,251,261,1,0],[1,258,267,1,0],[0,266,276,1,0],[1,267,276,1,0],[1,276,285,1,0],[0,276,286,1,0],[1,288,297,1,0],[0,290,300,1,0],[1,298,307,1,0],[0,305,315,1,0],[1,312,321,1,0],[0,319,329,1,0],[1,321,330,1,0],[1,330,339,1,0],[0,341,351,1,0],[1,346,355,1,0],[0,351,361,1,0],[1,355,364,1,0],[1,366,375,1,0],[1,376,385,1,0],[1,385,394,1,0],[0,386,390,1,0],[1,395,404,1,0],[1,404,413,1,0],[1,413,422,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,43,53,1,0],[0,54,64,1,0],[0,64,74,1,0],[0,74,84,1,0],[0,84,94,1,0],[0,94,104,1,0],[1,98,108,1,0],[0,104,114,1,0],[1,108,117,1,0],[0,114,124,1,0],[1,117,126,1,0],[0,124,134,1,0],[1,126,135,1,0],[0,135,145,1,0],[1,138,147,1,0],[0,145,155,1,0],[1,149,158,1,0],[0,155,165,1,0],[1,158,167,1,0],[0,165,175,1,0],[1,167,176,1,0],[1,176,185,1,0],[0,178,188,1,0],[1,189,199,1,0],[0,190,200,1,0],[0,202,212,1,0],[1,205,214,1,0],[0,212,222,1,0],[1,215,224,1,0],[0,228,238,1,0],[1,230,239,1,0],[0,240,250,1,0],[1,244,253,1,0],[0,253,263,1,0],[1,257,266,1,0],[0,267,277,1,0],[1,269,271,1,0],[1,273,282,1,0],[1,282,291,1,0],[0,283,293,1,0],[1,293,302,1,0],[0,298,308,1,0],[0,308,318,1,0],[1,310,319,1,0],[1,321,331,1,0],[0,322,332,1,0],[1,334,343,1,0],[0,337,347,1,0],[1,343,353,1,0],[1,353,362,1,0],[0,354,364,1,0],[1,368,377,1,0],[0,375,385,1,0],[1,383,393,1,0],[1,398,407,1,0],[1,407,417,1,0],[1,417,426,1,0],[1,429,438,1,0],[1,438,446,1,0],[1,446,455,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,44,54,1,0],[0,54,64,1,0],[0,64,72,1,0],[0,72,82,1,0],[0,82,92,1,0],[0,92,102,1,0],[1,97,107,1,0],[0,102,112,1,0],[1,111,121,1,0],[0,112,122,1,0],[0,123,133,1,0],[1,127,137,1,0],[0,137,147,1,0],[1,139,149,1,0],[0,150,152,1,0],[1,154,164,1,0],[0,157,167,1,0],[1,165,175,1,0],[0,170,180,1,0],[1,177,187,1,0],[1,187,197,1,0],[0,188,198,1,0],[1,197,207,1,0],[0,198,208,1,0],[1,207,217,1,0],[0,214,224,1,0],[1,217,227,1,0],[0,224,234,1,0],[1,228,238,1,0],[1,238,248,1,0],[0,240,250,1,0],[1,250,260,1,0],[0,256,266,1,0],[1,260,270,1,0],[1,270,280,1,0],[0,274,284,1,0],[1,282,292,1,0],[0,284,294,1,0],[1,293,303,1,0],[0,301,311,1,0],[1,303,313,1,0],[1,315,325,1,0],[1,328,338,1,0],[1,346,356,1,0],[1,358,368,1,0],[1,369,379,1,0],[1,379,389,1,0],[1,389,399,1,0],[1,402,412,1,0],[1,416,424,1,0],[1,425,433,1,0]],[[0,0,10,1,0],[0,10,20,1,0],[0,20,30,1,0],[0,30,40,1,0],[0,40,50,1,0],[0,50,60,1,0],[0,62,72,1,0],[0,72,82,1,0],[0,82,92,1,0],[0,92,102,1,0],[1,98,108,1,0],[0,105,115,1,0],[1,114,124,1,0],[0,119,129,1,0],[1,129,139,1,0],[0,130,140,1,0],[1,140,150,1,0],[0,141,151,1,0],[1,150,160,1,0],[0,154,164,1,0],[1,160,170,1,0],[0,168,178,1,0],[1,170,180,1,0],[0,178,188,1,0],[1,180,190,1,0],[1,193,203,1,0],[0,194,204,1,0],[1,204,214,1,0],[0,205,215,1,0],[0,215,225,1,0],[1,219,223,1,0],[1,224,234,1,0],[0,226,236,1,0],[1,239,249,1,0],[0,239,249,1,0],[0,249,259,1,0],[1,252,262,1,0],[0,259,269,1,0],[1,263,273,1,0],[0,276,286,1,0],[1,278,288,1,0],[1,288,298,1,0],[0,293,303,1,0],[1,298,308,1,0],[0,306,316,1,0],[1,309,319,1,0],[0,316,326,1,0],[1,321,331,1,0],[0,329,339,1,0],[1,331,341,1,0],[1,341,351,1,0],[0,348,358,1,0],[1,351,361,1,0],[1,365,375,1,0],[0,374,384,1,0],[1,377,387,1,0],[0,386,396,1,0],[1,395,405,1,0],[1,414,424,1,0],[1,424,434,1,0],[1,434,436,1,0],[1,436,446,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,36,1,0],[0,36,46,1,0],[0,48,58,1,0],[0,58,68,1,0],[0,68,78,1,0],[0,78,88,1,0],[0,88,98,1,0],[1,97,107,1,0],[0,98,108,1,0],[0,108,118,1,0],[1,117,127,1,0],[0,118,128,1,0],[0,128,138,1,0],[0,138,148,1,0],[1,143,153,1,0],[0,150,156,1,0],[0,156,166,1,0],[0,166,176,1,0],[1,167,177,1,0],[0,176,186,1,0],[1,181,191,1,0],[0,186,196,1,0],[1,193,203,1,0],[0,198,208,1,0],[1,210,219,1,0],[0,211,221,1,0],[0,221,231,1,0],[1,223,233,1,0],[0,231,241,1,0],[1,233,243,1,0],[0,241,251,1,0],[1,245,255,1,0],[0,251,261,1,0],[1,255,265,1,0],[0,261,271,1,0],[1,265,275,1,0],[0,276,286,1,0],[1,278,288,1,0],[0,290,300,1,0],[1,293,303,1,0],[0,302,312,1,0],[1,304,313,1,0],[1,313,322,1,0],[0,314,324,1,0],[1,322,332,1,0],[1,335,345,1,0],[0,339,349,1,0],[1,345,355,1,0],[0,349,359,1,0],[1,362,371,1,0],[1,371,381,1,0],[1,382,391,1,0],[1,391,393,1,0],[1,397,406,1,0],[1,406,416,1,0],[1,416,425,1,0],[1,430,440,1,0],[1,440,449,1,0],[1,449,458,1,0],[1,458,467,1,0],[1,467,471,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,42,1,0],[0,42,52,1,0],[0,52,62,1,0],[0,64,74,1,0],[0,74,84,1,0],[0,84,94,1,0],[0,94,104,1,0],[1,97,107,1,0],[0,104,114,1,0],[0,119,129,1,0],[1,121,131,1,0],[0,129,139,1,0],[1,133,143,1,0],[0,140,150,1,0],[1,143,153,1,0],[0,150,160,1,0],[1,159,169,1,0],[0,160,170,1,0],[1,169,179,1,0],[0,170,180,1,0],[0,180,190,1,0],[1,183,193,1,0],[0,190,200,1,0],[1,194,203,1,0],[0,200,210,1,0],[1,204,214,1,0],[0,210,220,1,0],[0,221,231,1,0],[1,223,233,1,0],[0,231,241,1,0],[1,235,244,1,0],[0,241,251,1,0],[1,248,258,1,0],[1,260,270,1,0],[0,264,274,1,0],[1,271,280,1,0],[0,276,286,1,0],[1,281,290,1,0],[0,286,296,1,0],[1,290,299,1,0],[0,300,310,1,0],[1,303,312,1,0],[1,312,321,1,0],[0,317,327,1,0],[1,321,331,1,0],[0,327,337,1,0],[1,333,343,1,0],[1,343,353,1,0],[0,345,355,1,0],[1,353,362,1,0],[0,355,365,1,0],[1,371,380,1,0],[1,380,390,1,0],[1,393,403,1,0],[1,403,412,1,0],[1,412,418,1,0],[1,418,428,1,0],[1,428,438,1,0],[1,438,448,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,40,1,0],[0,41,51,1,0],[0,51,61,1,0],[0,61,71,1,0],[0,71,81,1,0],[0,81,91,1,0],[0,91,101,1,0],[1,97,107,1,0],[0,101,103,1,0],[0,105,115,1,0],[0,117,127,1,0],[1,124,134,1,0],[0,127,137,1,0],[1,136,145,1,0],[0,143,153,1,0],[1,149,159,1,0],[1,160,169,1,0],[0,162,172,1,0],[1,169,179,1,0],[0,172,182,1,0],[1,180,190,1,0],[0,182,192,1,0],[1,191,200,1,0],[0,195,205,1,0],[1,200,209,1,0],[0,210,220,1,0],[1,212,222,1,0],[0,223,233,1,0],[1,226,235,1,0],[1,237,246,1,0],[0,239,249,1,0],[1,246,256,1,0],[0,249,259,1,0],[1,260,270,1,0],[0,261,271,1,0],[1,271,280,1,0],[1,281,290,1,0],[0,283,293,1,0],[1,290,300,1,0],[0,293,303,1,0],[1,304,313,1,0],[1,313,322,1,0],[1,322,331,1,0],[1,341,350,1,0],[1,355,364,1,0],[1,366,376,1,0],[1,376,386,1,0],[1,388,398,1,0],[1,401,411,1,0],[1,411,415,1,0],[1,415,420,1,0],[1,421,431,1,0],[1,433,443,1,0],[1,444,454,1,0]],[[0,2,12,1,0],[0,12,22,1,0],[0,22,32,1,0],[0,32,38,1,0],[0,38,48,1,0],[0,49,51,1,0],[0,51,61,1,0],[0,62,72,1,0],[0,73,83,1,0],[0,83,93,1,0],[0,94,104,1,0],[1,97,107,1,0],[0,105,109,1,0],[0,109,119,1,0],[0,119,129,1,0],[1,121,131,1,0],[0,129,139,1,0],[1,132,142,1,0],[0,139,149,1,0],[1,144,153,1,0],[0,149,159,1,0],[1,157,166,1,0],[0,159,169,1,0],[1,168,178,1,0],[0,169,179,1,0],[1,178,188,1,0],[0,182,192,1,0],[1,189,199,1,0],[0,192,202,1,0],[1,200,210,1,0],[0,206,216,1,0],[1,212,221,1,0],[0,217,227,1,0],[1,221,230,1,0],[1,230,239,1,0],[0,231,241,1,0],[1,239,248,1,0],[0,243,253,1,0],[1,248,257,1,0],[1,257,267,1,0],[0,258,268,1,0],[1,267,277,1,0],[0,268,278,1,0],[1,280,290,1,0],[0,281,291,1,0],[1,290,299,1,0],[0,291,299,1,0],[1,301,311,1,0],[0,303,313,1,0],[1,312,322,1,0],[1,324,333,1,0],[0,325,335,1,0],[1,338,347,1,0],[0,341,351,1,0],[1,349,359,1,0],[1,362,371,1,0],[0,365,375,1,0],[1,371,380,1,0],[0,375,385,1,0],[1,385,395,1,0],[1,398,407,1,0],[1,417,426,1,0],[1,426,436,1,0],[1,436,446,1,0]],[[0,2,11,1,0],[0,13,22,1,0],[0,22,31,1,0],[0,32,41,1,0],[0,42,51,1,0],[0,53,62,1,0],[0,65,74,1,0],[0,75,84,1,0],[0,87,96,1,0],[1,97,107,1,0],[0,99,108,1,0],[1,107,117,1,0],[0,109,118,1,0],[1,120,130,1,0],[0,121,130,1,0],[0,130,139,1,0],[1,134,144,1,0],[0,142,151,1,0],[1,144,154,1,0],[0,152,161,1,0],[1,154,164,1,0],[0,162,171,1,0],[1,164,174,1,0],[1,176,185,1,0],[0,178,187,1,0],[1,187,194,1,0],[0,193,202,1,0],[1,197,207,1,0],[0,203,212,1,0],[1,214,224,1,0],[0,218,227,1,0],[1,224,234,1,0],[0,229,238,1,0],[1,237,247,1,0],[0,240,249,1,0],[1,250,260,1,0],[0,256,258,1,0],[0,258,267,1,0],[1,262,272,1,0],[0,267,276,1,0],[1,273,283,1,0],[0,276,285,1,0],[1,286,296,1,0],[0,287,294,1,0],[1,298,308,1,0],[0,299,308,1,0],[0,308,317,1,0],[1,313,323,1,0],[0,318,327,1,0],[1,324,334,1,0],[0,329,338,1,0],[1,339,349,1,0],[0,348,357,1,0],[1,351,361,1,0],[1,366,376,1,0],[1,376,386,1,0],[0,378,387,1,0],[1,392,402,1,0],[1,403,413,1,0],[1,413,423,1,0],[1,424,434,1,0],[1,443,453,1,0]],[[0,2,11,1,0],[0,12,21,1,0],[0,21,30,1,0],[0,32,41,1,0],[0,43,52,1,0],[0,54,63,1,0],[0,64,73,1,0],[0,77,86,1,0],[0,93,102,1,0],[1,97,107,1,0],[0,106,115,1,0],[1,110,120,1,0],[0,115,124,1,0],[1,127,137,1,0],[0,128,137,1,0],[1,137,146,1,0],[0,138,147,1,0],[1,146,156,1,0],[0,147,156,1,0],[1,156,166,1,0],[0,160,169,1,0],[1,166,176,1,0],[0,170,179,1,0],[1,176,186,1,0],[0,181,190,1,0],[1,186,188,1,0],[1,188,198,1,0],[0,193,202,1,0],[1,200,210,1,0],[0,203,212,1,0],[1,210,220,1,0],[0,215,224,1,0],[1,222,232,1,0],[1,232,242,1,0],[0,233,242,1,0],[1,242,252,1,0],[0,243,252,1,0],[1,252,261,1,0],[0,256,265,1,0],[1,261,271,1,0],[0,265,274,1,0],[1,272,282,1,0],[0,278,287,1,0],[1,282,292,1,0],[0,290,299,1,0],[1,293,303,1,0],[1,303,313,1,0],[0,307,316,1,0],[1,314,324,1,0],[0,317,326,1,0],[1,325,335,1,0],[0,328,337,1,0],[1,335,345,1,0],[0,343,352,1,0],[1,346,356,1,0],[0,354,363,1,0],[1,359,369,1,0],[1,370,380,1,0],[0,384,393,1,0],[1,389,399,1,0],[1,400,410,1,0],[1,420,426,1,0]],[[0,2,11,1,0],[0,12,21,1,0],[0,23,32,1,0],[0,40,49,1,0],[0,49,58,1,0],[0,63,72,1,0],[0,75,84,1,0],[0,88,97,1,0],[1,97,107,1,0],[0,98,107,1,0],[0,112,121,1,0],[1,125,135,1,0],[0,128,137,1,0],[1,135,144,1,0],[0,140,149,1,0],[1,147,156,1,0],[0,154,163,1,0],[1,156,165,1,0],[1,166,175,1,0],[0,168,177,1,0],[1,177,186,1,0],[0,180,189,1,0],[1,188,197,1,0],[0,192,201,1,0],[1,198,207,1,0],[0,202,211,1,0],[1,207,216,1,0],[0,211,220,1,0],[1,218,228,1,0],[0,221,230,1,0],[1,229,239,1,0],[0,240,249,1,0],[1,243,252,1,0],[0,250,253,1,0],[1,252,261,1,0],[0,255,264,1,0],[1,261,271,1,0],[0,266,275,1,0],[1,275,285,1,0],[0,276,282,1,0],[1,285,295,1,0],[1,295,304,1,0],[0,297,306,1,0],[1,304,314,1,0],[0,306,315,1,0],[1,316,325,1,0],[1,325,335,1,0],[1,340,349,1,0],[1,350,359,1,0],[1,361,368,1,0],[1,378,387,1,0],[1,391,400,1,0],[1,400,409,1,0],[1,409,418,1,0],[1,418,427,1,0],[1,438,447,1,0],[1,447,456,1,0]],[[0,0,9,1,0],[0,9,18,1,0],[0,18,27,1,0],[0,27,36,1,0],[0,36,45,1,0],[0,51,60,1,0],[0,64,73,1,0],[0,80,89,1,0],[0,90,99,1,0],[1,98,107,1,0],[0,102,111,1,0],[0,111,120,1,0],[1,129,139,1,0],[0,130,139,1,0],[1,139,149,1,0],[0,140,149,1,0],[0,151,160,1,0],[1,163,173,1,0],[0,164,173,1,0],[0,173,182,1,0],[1,175,185,1,0],[0,182,191,1,0],[1,185,194,1,0],[1,194,204,1,0],[0,195,204,1,0],[1,206,216,1,0],[0,212,215,1,0],[1,216,225,1,0],[0,221,230,1,0],[1,225,234,1,0],[0,231,240,1,0],[1,234,244,1,0],[0,240,247,1,0],[1,246,250,1,0],[0,247,256,1,0],[1,250,259,1,0],[1,259,268,1,0],[0,265,267,1,0],[1,268,277,1,0],[0,271,280,1,0],[1,277,286,1,0],[0,280,289,1,0],[1,287,296,1,0],[0,289,298,1,0],[1,296,305,1,0],[1,305,314,1,0],[0,306,315,1,0],[1,316,326,1,0],[0,317,326,1,0],[0,329,338,1,0],[1,330,340,1,0],[1,342,351,1,0],[0,343,349,1,0],[1,351,360,1,0],[1,360,369,1,0],[0,361,370,1,0],[1,371,380,1,0],[0,374,383,1,0],[1,380,389,1,0],[0,387,396,1,0],[1,389,398,1,0],[1,398,407,1,0],[1,415,424,1,0],[1,424,433,1,0],[1,433,442,1,0],[1,442,445,1,0]],[[0,2,11,1,0],[0,12,21,1,0],[0,36,45,1,0],[0,46,55,1,0],[0,56,65,1,0],[0,69,78,1,0],[0,78,87,1,0],[0,87,96,1,0],[1,97,106,1,0],[0,99,108,1,0],[1,106,115,1,0],[0,114,123,1,0],[1,119,129,1,0],[0,123,132,1,0],[1,131,140,1,0],[0,132,141,1,0],[1,141,150,1,0],[0,148,157,1,0],[1,150,159,1,0],[0,157,166,1,0],[1,162,171,1,0],[0,167,176,1,0],[1,171,180,1,0],[0,176,185,1,0],[1,180,189,1,0],[0,188,194,1,0],[1,194,204,1,0],[0,198,207,1,0],[1,204,213,1,0],[0,207,216,1,0],[1,213,222,1,0],[0,217,226,1,0],[1,223,232,1,0],[0,226,235,1,0],[0,235,244,1,0],[1,239,248,1,0],[0,248,257,1,0],[1,251,260,1,0],[1,260,262,1,0],[1,262,271,1,0],[0,263,272,1,0],[1,271,281,1,0],[0,275,278,1,0],[1,281,291,1,0],[0,284,293,1,0],[1,291,301,1,0],[0,293,302,1,0],[1,307,317,1,0],[0,311,320,1,0],[1,317,326,1,0],[0,320,329,1,0],[1,326,335,1,0],[0,337,346,1,0],[1,343,352,1,0],[0,347,356,1,0],[1,356,365,1,0],[0,357,366,1,0],[1,370,379,1,0],[1,379,385,1,0],[1,385,394,1,0],[0,386,395,1,0],[1,394,403,1,0],[1,413,423,1,0],[1,423,432,1,0],[1,432,442,1,0]],[[0,2,11,1,0],[0,21,30,1,0],[0,33,42,1,0],[0,42,51,1,0],[0,55,64,1,0],[0,66,75,1,0],[0,77,86,1,0],[0,93,102,1,0],[1,97,107,1,0],[0,106,115,1,0],[0,117,126,1,0],[1,121,131,1,0],[0,127,136,1,0],[1,131,141,1,0],[0,139,148,1,0],[1,147,156,1,0],[0,149,158,1,0],[1,156,165,1,0],[0,161,170,1,0],[1,167,177,1,0],[0,174,183,1,0],[1,179,188,1,0],[0,183,192,1,0],[1,188,197,1,0],[0,194,203,1,0],[1,198,207,1,0],[0,205,214,1,0],[1,207,217,1,0],[0,215,224,1,0],[1,217,227,1,0],[1,227,237,1,0],[0,230,239,1,0],[1,240,250,1,0],[0,242,251,1,0],[1,253,255,1,0],[0,257,266,1,0],[1,260,269,1,0],[1,269,278,1,0],[0,273,282,1,0],[1,278,287,1,0],[0,282,291,1,0],[1,289,298,1,0],[0,291,300,1,0],[1,298,307,1,0],[0,303,312,1,0],[1,307,316,1,0],[0,313,322,1,0],[1,316,325,1,0],[1,328,337,1,0],[0,329,338,1,0],[1,337,346,1,0],[1,346,355,1,0],[0,347,356,1,0],[1,357,366,1,0],[0,358,367,1,0],[0,367,376,1,0],[1,376,382,1,0],[0,380,389,1,0],[1,386,395,1,0],[1,395,404,1,0],[1,404,413,1,0],[1,415,424,1,0],[1,424,433,1,0],[1,433,442,1,0]],[[0,0,9,1,0],[0,14,23,1,0],[0,33,42,1,0],[0,47,56,1,0],[0,57,66,1,0],[0,76,85,1,0],[0,85,94,1,0],[1,98,108,1,0],[0,99,108,1,0],[0,109,118,1,0],[1,116,126,1,0],[0,121,130,1,0],[1,127,136,1,0],[0,140,149,1,0],[1,142,152,1,0],[0,149,158,1,0],[1,157,167,1,0],[0,158,167,1,0],[1,167,177,1,0],[0,172,181,1,0],[1,177,187,1,0],[1,187,197,1,0],[0,192,201,1,0],[1,202,212,1,0],[0,203,212,1,0],[1,212,222,1,0],[0,213,222,1,0],[1,222,232,1,0],[0,223,230,1,0],[1,233,243,1,0],[0,234,243,1,0],[1,243,253,1,0],[0,244,253,1,0],[0,255,257,1,0],[1,258,261,1,0],[0,259,268,1,0],[1,262,272,1,0],[1,275,285,1,0],[0,276,285,1,0],[1,285,295,1,0],[0,292,301,1,0],[1,295,305,1,0],[0,301,310,1,0],[1,305,315,1,0],[1,317,327,1,0],[1,328,338,1,0],[0,334,343,1,0],[1,339,349,1,0],[1,350,360,1,0],[1,360,370,1,0],[1,374,384,1,0],[1,386,396,1,0],[1,396,406,1,0],[1,406,410,1,0],[1,413,423,1,0],[1,427,437,1,0]],[[0,2,11,1,0],[0,12,21,1,0],[0,24,33,1,0],[0,33,42,1,0],[0,44,53,1,0],[0,58,67,1,0],[0,78,87,1,0],[0,87,96,1,0],[1,97,107,1,0],[0,104,113,1,0],[1,107,117,1,0],[0,114,123,1,0],[1,117,127,1,0],[0,127,136,1,0],[0,136,145,1,0],[1,139,149,1,0],[0,148,157,1,0],[1,153,163,1,0],[0,160,169,1,0],[1,167,177,1,0],[0,172,181,1,0],[1,177,187,1,0],[0,181,190,1,0],[1,187,197,1,0],[0,196,205,1,0],[1,199,209,1,0],[0,207,216,1,0],[1,209,219,1,0],[1,219,229,1,0],[0,221,230,1,0],[1,231,241,1,0],[0,231,240,1,0],[1,241,251,1,0],[0,242,251,1,0],[1,251,261,1,0],[0,254,263,1,0],[1,261,271,1,0],[0,265,274,1,0],[1,271,281,1,0],[0,278,287,1,0],[1,281,291,1,0],[0,290,293,1,0],[1,291,301,1,0],[0,297,304,1,0],[1,305,315,1,0],[0,305,307,1,0],[0,313,319,1,0],[1,322,332,1,0],[0,324,333,1,0],[1,334,344,1,0],[0,338,347,1,0],[1,344,354,1,0],[0,349,358,1,0],[1,354,364,1,0],[1,364,372,1,0],[1,372,382,1,0],[0,374,383,1,0],[1,382,392,1,0],[1,392,400,1,0],[0,394,403,1,0],[1,403,413,1,0],[1,416,426,1,0],[0,417,426,1,0]],[[0,2,11,1,0],[0,28,37,1,0],[0,37,46,1,0],[0,55,64,1,0],[0,64,73,1,0],[0,74,83,1,0],[0,92,101,1,0],[1,97,107,1,0],[0,103,112,1,0],[1,111,121,1,0],[0,113,122,1,0],[0,122,131,1,0],[1,129,139,1,0],[0,133,142,1,0],[1,140,149,1,0],[0,146,155,1,0],[1,149,159,1,0],[0,157,166,1,0],[1,159,169,1,0],[0,166,175,1,0],[1,169,178,1,0],[0,176,185,1,0],[1,178,187,1,0],[1,187,197,1,0],[0,189,198,1,0],[1,197,207,1,0],[0,199,201,1,0],[0,201,210,1,0],[1,207,217,1,0],[0,210,219,1,0],[1,217,227,1,0],[0,219,226,1,0],[1,228,238,1,0],[0,230,239,1,0],[0,241,250,1,0],[1,245,255,1,0],[0,251,260,1,0],[1,255,265,1,0],[0,263,272,1,0],[1,270,280,1,0],[0,273,282,1,0],[1,280,290,1,0],[0,283,292,1,0],[1,290,299,1,0],[0,297,306,1,0],[1,300,310,1,0],[1,311,321,1,0],[0,312,321,1,0],[1,325,334,1,0],[0,326,335,1,0],[1,335,344,1,0],[0,339,348,1,0],[1,346,355,1,0],[0,356,365,1,0],[1,358,367,1,0],[0,365,374,1,0],[1,367,376,1,0],[1,376,385,1,0],[1,388,397,1,0],[1,397,405,1,0],[1,405,414,1,0],[0,407,416,1,0],[1,414,415,1,0],[1,419,428,1,0]],[[0,2,11,1,0],[0,27,30,1,0],[0,33,40,1,0],[0,46,55,1,0],[0,58,67,1,0],[0,68,77,1,0],[0,78,87,1,0],[0,90,99,1,0],[1,97,107,1,0],[0,105,114,1,0],[1,111,121,1,0],[0,117,126,1,0],[1,127,137,1,0],[0,128,137,1,0],[0,137,146,1,0],[1,141,151,1,0],[1,153,163,1,0],[0,154,163,1,0],[1,163,173,1,0],[0,164,173,1,0],[0,175,184,1,0],[1,180,190,1,0],[0,184,193,1,0],[1,191,200,1,0],[0,194,203,1,0],[1,203,212,1,0],[0,209,218,1,0],[1,221,231,1,0],[0,223,232,1,0],[1,232,242,1,0],[0,233,242,1,0],[1,246,256,1,0],[0,247,253,1,0],[0,255,264,1,0],[1,256,266,1,0],[1,266,276,1,0],[0,267,276,1,0],[0,276,285,1,0],[1,279,289,1,0],[0,288,297,1,0],[1,297,307,1,0],[0,300,309,1,0],[0,310,312,1,0],[1,315,325,1,0],[0,318,327,1,0],[1,326,336,1,0],[0,328,337,1,0],[1,338,348,1,0],[0,345,354,1,0],[1,348,354,1,0],[0,354,363,1,0],[1,359,368,1,0],[1,370,379,1,0],[0,374,383,1,0],[1,383,392,1,0],[0,384,393,1,0],[0,393,402,1,0],[1,394,403,1,0],[1,404,413,1,0],[1,413,422,1,0],[1,423,432,1,0],[1,435,444,1,0],[1,444,453,1,0],[1,458,467,1,0],[1,467,469,1,0]],[[0,2,11,1,0],[0,24,33,1,0],[0,45,54,1,0],[0,60,69,1,0],[0,69,78,1,0],[0,86,95,1,0],[0,95,104,1,0],[1,97,107,1,0],[0,104,113,1,0],[1,119,129,1,0],[0,120,129,1,0],[1,129,138,1,0],[0,138,147,1,0],[1,140,149,1,0],[0,147,156,1,0],[1,149,159,1,0],[0,156,165,1,0],[1,161,170,1,0],[0,167,176,1,0],[1,171,180,1,0],[0,180,189,1,0],[1,181,190,1,0],[0,190,199,1,0],[1,194,204,1,0],[1,204,214,1,0],[0,205,214,1,0],[1,214,224,1,0],[0,216,225,1,0],[1,228,238,1,0],[0,229,238,1,0],[1,239,249,1,0],[0,240,246,1,0],[0,246,255,1,0],[1,251,260,1,0],[0,263,272,1,0],[1,265,274,1,0],[1,275,285,1,0],[0,276,279,1,0],[0,280,289,1,0],[1,289,299,1,0],[0,290,299,1,0],[1,299,309,1,0],[1,311,321,1,0],[0,313,322,1,0],[1,322,332,1,0],[0,323,332,1,0],[1,341,349,1,0],[1,354,364,1,0],[1,364,374,1,0],[1,375,385,1,0],[1,385,395,1,0],[1,397,406,1,0],[1,406,414,1,0],[1,414,423,1,0],[1,433,443,1,0],[1,443,452,1,0]],[[0,2,11,1,0],[0,16,25,1,0],[0,29,38,1,0],[0,39,48,1,0],[0,61,70,1,0],[0,72,81,1,0],[0,81,90,1,0],[0,91,100,1,0],[1,97,107,1,0],[0,115,124,1,0],[1,119,129,1,0],[0,124,133,1,0],[1,129,138,1,0],[0,133,142,1,0],[1,138,147,1,0],[1,147,156,1,0],[0,153,162,1,0],[1,161,171,1,0],[0,166,175,1,0],[1,171,181,1,0],[0,176,185,1,0],[1,186,196,1,0],[0,187,196,1,0],[1,196,206,1,0],[0,197,206,1,0],[1,206,216,1,0],[0,208,217,1,0],[1,216,226,1,0],[0,217,226,1,0],[1,226,236,1,0],[0,228,237,1,0],[1,238,248,1,0],[0,243,252,1,0],[1,252,261,1,0],[0,253,262,1,0],[1,261,270,1,0],[0,263,272,1,0],[1,271,280,1,0],[1,280,290,1,0],[0,281,290,1,0],[1,290,299,1,0],[0,291,300,1,0],[1,299,308,1,0],[0,300,309,1,0],[1,308,318,1,0],[0,309,318,1,0],[1,318,328,1,0],[0,319,328,1,0],[1,328,338,1,0],[0,330,339,1,0],[1,338,348,1,0],[0,342,351,1,0],[0,351,360,1,0],[1,355,358,1,0],[1,358,368,1,0],[0,361,370,1,0],[1,372,381,1,0],[1,389,398,1,0],[0,395,404,1,0],[1,404,408,1,0],[1,410,420,1,0],[1,422,432,1,0],[1,432,441,1,0]],[[0,0,9,1,0],[0,9,18,1,0],[0,54,63,1,0],[0,64,73,1,0],[0,74,83,1,0],[0,84,93,1,0],[1,98,108,1,0],[0,102,111,1,0],[0,111,120,1,0],[1,119,129,1,0],[0,120,129,1,0],[1,129,139,1,0],[0,133,142,1,0],[1,139,149,1,0],[0,145,154,1,0],[1,149,159,1,0],[0,156,165,1,0],[1,163,173,1,0],[0,165,174,1,0],[1,173,183,1,0],[0,174,183,1,0],[1,187,197,1,0],[0,187,196,1,0],[0,197,206,1,0],[1,200,210,1,0],[0,206,215,1,0],[1,211,221,1,0],[0,216,225,1,0],[1,223,233,1,0],[0,226,235,1,0],[1,234,244,1,0],[1,247,257,1,0],[0,248,257,1,0],[1,257,267,1,0],[0,257,266,1,0],[0,266,275,1,0],[1,272,282,1,0],[0,275,284,1,0],[1,282,292,1,0],[0,284,293,1,0],[1,295,305,1,0],[0,297,306,1,0],[0,306,315,1,0],[1,311,321,1,0],[0,316,325,1,0],[1,321,331,1,0],[0,330,339,1,0],[1,333,343,1,0],[0,342,351,1,0],[1,347,357,1,0],[1,357,367,1,0],[0,362,371,1,0],[1,370,374,1,0],[1,374,384,1,0],[1,387,397,1,0],[0,388,397,1,0],[1,399,409,1,0],[0,412,421,1,0],[1,418,428,1,0],[1,428,430,1,0],[1,430,440,1,0],[1,440,450,1,0]],[[0,0,9,1,0],[0,31,40,1,0],[0,50,59,1,0],[0,59,68,1,0],[0,72,81,1,0],[0,86,95,1,0],[0,95,104,1,0],[1,98,108,1,0],[0,108,117,1,0],[1,115,125,1,0],[0,119,128,1,0],[1,125,135,1,0],[0,133,142,1,0],[1,135,145,1,0],[0,143,146,1,0],[0,148,157,1,0],[1,151,161,1,0],[0,159,168,1,0],[1,161,171,1,0],[1,171,181,1,0],[0,176,183,1,0],[0,184,193,1,0],[1,187,197,1,0],[0,194,203,1,0],[1,197,207,1,0],[0,204,213,1,0],[1,207,217,1,0],[0,214,220,1,0],[1,217,227,1,0],[0,223,232,1,0],[1,227,237,1,0],[0,235,244,1,0],[1,238,248,1,0],[0,245,254,1,0],[1,248,258,1,0],[1,259,269,1,0],[0,260,269,1,0],[0,271,280,1,0],[1,274,284,1,0],[0,285,294,1,0],[1,292,302,1,0],[0,296,305,1,0],[1,302,312,1,0],[0,310,319,1,0],[1,312,322,1,0],[0,322,331,1,0],[1,333,343,1,0],[0,334,336,1,0],[0,343,352,1,0],[1,345,355,1,0],[0,354,363,1,0],[1,364,374,1,0],[0,369,378,1,0],[1,374,380,1,0],[0,380,389,1,0],[1,386,396,1,0],[0,399,408,1,0],[1,402,412,1,0],[1,413,423,1,0],[0,423,432,1,0],[1,425,435,1,0],[1,435,445,1,0],[1,454,464,1,0]],[[0,22,31,1,0],[0,39,48,1,0],[0,57,66,1,0],[0,70,79,1,0],[0,81,90,1,0],[0,94,103,1,0],[1,97,106,1,0],[0,103,112,1,0],[0,117,126,1,0],[1,122,132,1,0],[0,129,138,1,0],[1,132,141,1,0],[0,139,148,1,0],[1,143,152,1,0],[1,152,161,1,0],[0,153,162,1,0],[1,162,171,1,0],[0,166,168,1,0],[1,171,180,1,0],[0,172,181,1,0],[0,182,191,1,0],[1,187,193,1,0],[1,193,202,1,0],[1,202,211,1,0],[0,203,210,1,0],[1,212,221,1,0],[0,213,222,1,0],[1,222,231,1,0],[0,222,231,1,0],[1,231,241,1,0],[0,232,241,1,0],[1,241,251,1,0],[0,242,251,1,0],[0,251,260,1,0],[0,260,269,1,0],[1,271,281,1,0],[0,274,283,1,0],[0,283,292,1,0],[1,286,295,1,0],[1,297,307,1,0],[0,298,307,1,0],[1,311,321,1,0],[0,312,321,1,0],[1,324,333,1,0],[1,334,343,1,0],[1,346,355,1,0],[0,358,367,1,0],[1,360,369,1,0],[1,369,378,1,0],[1,378,387,1,0],[1,388,397,1,0],[1,397,406,1,0],[1,406,415,1,0],[1,421,430,1,0],[1,430,434,1,0],[1,434,443,1,0],[1,443,452,1,0],[1,453,462,1,0]],[[0,0,9,1,0],[0,21,30,1,0],[0,44,53,1,0],[0,54,63,1,0],[0,81,90,1,0],[0,92,101,1,0],[1,98,107,1,0],[0,104,113,1,0],[0,114,123,1,0],[0,128,137,1,0],[1,139,149,1,0],[0,140,149,1,0],[0,149,158,1,0],[1,161,171,1,0],[0,168,177,1,0],[1,172,181,1,0],[0,177,186,1,0],[1,181,190,1,0],[0,188,197,1,0],[1,190,199,1,0],[1,199,208,1,0],[0,202,211,1,0],[1,208,217,1,0],[0,211,220,1,0],[1,217,226,1,0],[0,221,230,1,0],[1,226,235,1,0],[0,231,240,1,0],[1,238,247,1,0],[0,241,250,1,0],[1,252,262,1,0],[0,254,263,1,0],[1,263,272,1,0],[0,269,278,1,0],[1,276,286,1,0],[0,279,288,1,0],[0,291,300,1,0],[1,295,304,1,0],[0,302,311,1,0],[1,310,320,1,0],[0,313,322,1,0],[0,322,331,1,0],[1,326,335,1,0],[0,331,340,1,0],[1,336,345,1,0],[0,340,349,1,0],[1,345,354,1,0],[0,352,361,1,0],[1,355,364,1,0],[1,364,373,1,0],[0,370,379,1,0],[1,373,383,1,0],[0,379,388,1,0],[1,385,394,1,0],[0,390,399,1,0],[1,397,406,1,0],[1,406,415,1,0],[1,415,424,1,0],[1,424,433,1,0],[1,443,452,1,0],[1,452,462,1,0],[1,462,471,1,0],[1,471,480,1,0]],[[0,2,11,1,0],[0,23,32,1,0],[0,65,74,1,0],[0,74,83,1,0],[0,83,86,1,0],[0,93,102,1,0],[1,97,107,1,0],[0,103,112,1,0],[0,112,121,1,0],[1,121,131,1,0],[0,121,130,1,0],[1,131,140,1,0],[0,134,143,1,0],[1,140,149,1,0],[0,147,156,1,0],[1,150,159,1,0],[0,156,162,1,0],[1,159,168,1,0],[0,162,171,1,0],[1,172,181,1,0],[0,176,185,1,0],[1,184,193,1,0],[0,185,194,1,0],[1,195,204,1,0],[0,197,206,1,0],[1,204,213,1,0],[0,206,215,1,0],[1,213,222,1,0],[0,215,224,1,0],[1,223,233,1,0],[0,224,233,1,0],[1,236,246,1,0],[0,242,251,1,0],[1,246,255,1,0],[0,252,261,1,0],[1,256,265,1,0],[0,261,270,1,0],[1,265,274,1,0],[0,274,283,1,0],[1,283,292,1,0],[0,284,293,1,0],[0,293,302,1,0],[1,295,304,1,0],[1,305,314,1,0],[0,307,316,1,0],[0,316,325,1,0],[1,322,331,1,0],[0,325,334,1,0],[1,336,346,1,0],[0,340,349,1,0],[1,350,359,1,0],[1,360,369,1,0],[0,361,370,1,0],[1,369,379,1,0],[0,371,380,1,0],[1,387,397,1,0],[0,392,401,1,0],[1,397,407,1,0],[1,414,423,1,0],[1,423,433,1,0],[0,424,433,1,0],[1,433,438,1,0],[1,445,455,1,0],[1,463,473,1,0]],[[0,2,11,1,0],[0,43,52,1,0],[0,62,71,1,0],[0,72,81,1,0],[0,81,90,1,0],[0,90,99,1,0],[1,97,107,1,0],[0,111,120,1,0],[0,120,129,1,0],[1,128,138,1,0],[0,131,140,1,0],[1,138,147,1,0],[1,147,156,1,0],[0,149,158,1,0],[1,156,166,1,0],[0,158,167,1,0],[1,167,176,1,0],[0,170,179,1,0],[1,176,185,1,0],[0,179,188,1,0],[1,185,194,1,0],[0,188,197,1,0],[1,194,203,1,0],[0,198,207,1,0],[1,203,212,1,0],[0,207,214,1,0],[0,217,226,1,0],[1,223,232,1,0],[1,232,241,1,0],[0,237,246,1,0],[1,241,250,1,0],[0,246,255,1,0],[1,250,259,1,0],[0,256,259,1,0],[1,260,269,1,0],[0,262,271,1,0],[1,269,278,1,0],[0,277,279,1,0],[1,279,288,1,0],[0,283,292,1,0],[1,290,299,1,0],[0,293,302,1,0],[1,301,310,1,0],[0,303,309,1,0],[1,312,321,1,0],[0,319,328,1,0],[1,329,338,1,0],[0,330,339,1,0],[1,338,347,1,0],[0,339,348,1,0],[1,351,361,1,0],[0,355,364,1,0],[0,366,375,1,0],[1,368,377,1,0],[1,378,388,1,0],[0,382,391,1,0],[1,392,402,1,0],[0,393,402,1,0],[1,402,412,1,0],[0,406,415,1,0],[1,412,418,1,0],[0,415,424,1,0],[1,418,428,1,0],[1,428,438,1,0],[1,438,448,1,0]],[[0,31,40,1,0],[0,51,60,1,0],[0,65,74,1,0],[0,84,93,1,0],[0,95,104,1,0],[1,97,107,1,0],[0,105,114,1,0],[1,113,123,1,0],[0,115,124,1,0],[1,124,134,1,0],[0,125,134,1,0],[1,135,145,1,0],[0,143,152,1,0],[1,145,155,1,0],[0,153,162,1,0],[1,155,165,1,0],[0,162,171,1,0],[1,165,175,1,0],[0,171,180,1,0],[1,176,186,1,0],[1,186,196,1,0],[0,187,196,1,0],[1,199,209,1,0],[0,200,209,1,0],[0,213,222,1,0],[1,218,228,1,0],[0,225,234,1,0],[1,228,238,1,0],[0,234,243,1,0],[1,242,252,1,0],[0,245,254,1,0],[1,253,263,1,0],[0,260,269,1,0],[1,264,274,1,0],[0,269,278,1,0],[1,275,285,1,0],[1,285,295,1,0],[0,286,295,1,0],[1,295,305,1,0],[0,298,307,1,0],[1,306,316,1,0],[0,313,322,1,0],[1,316,325,1,0],[1,325,334,1,0],[0,334,343,1,0],[1,338,348,1,0],[1,353,362,1,0],[0,361,370,1,0],[1,367,376,1,0],[1,376,386,1,0],[1,389,399,1,0],[1,406,416,1,0],[1,416,426,1,0],[1,434,444,1,0]],[[0,2,11,1,0],[0,37,46,1,0],[0,54,63,1,0],[0,72,81,1,0],[0,81,90,1,0],[1,97,107,1,0],[0,101,110,1,0],[0,110,119,1,0],[1,112,122,1,0],[0,129,138,1,0],[1,132,142,1,0],[0,139,148,1,0],[1,143,153,1,0],[0,148,157,1,0],[1,160,170,1,0],[0,165,174,1,0],[1,172,182,1,0],[0,177,186,1,0],[1,182,192,1,0],[0,187,196,1,0],[1,193,203,1,0],[0,197,206,1,0],[0,208,217,1,0],[1,209,219,1,0],[1,219,229,1,0],[0,220,229,1,0],[0,231,240,1,0],[1,232,242,1,0],[0,240,249,1,0],[1,243,253,1,0],[1,253,263,1,0],[0,256,265,1,0],[0,266,275,1,0],[1,271,281,1,0],[0,282,291,1,0],[1,287,297,1,0],[0,292,301,1,0],[1,299,309,1,0],[0,303,312,1,0],[1,310,320,1,0],[0,312,321,1,0],[1,320,330,1,0],[0,325,334,1,0],[1,330,340,1,0],[0,334,343,1,0],[0,344,353,1,0],[1,347,356,1,0],[0,353,362,1,0],[1,361,371,1,0],[0,362,371,1,0],[1,373,377,1,0],[0,374,383,1,0],[1,377,387,1,0],[0,383,392,1,0],[1,387,397,1,0],[0,393,402,1,0],[1,397,407,1,0],[1,407,416,1,0],[1,420,429,1,0],[1,429,439,1,0],[1,439,444,1,0],[1,446,456,1,0]],[[0,2,11,1,0],[0,59,68,1,0],[0,73,75,1,0],[0,75,84,1,0],[0,84,93,1,0],[1,97,106,1,0],[0,99,108,1,0],[0,108,117,1,0],[1,113,123,1,0],[0,117,126,1,0],[0,126,135,1,0],[1,136,146,1,0],[0,137,146,1,0],[1,148,157,1,0],[0,154,163,1,0],[0,163,172,1,0],[1,165,175,1,0],[1,175,184,1,0],[0,176,185,1,0],[0,185,194,1,0],[1,188,197,1,0],[0,194,203,1,0],[1,198,207,1,0],[0,203,212,1,0],[1,209,218,1,0],[0,215,224,1,0],[1,221,230,1,0],[0,228,237,1,0],[1,230,239,1,0],[0,241,250,1,0],[0,250,259,1,0],[1,258,268,1,0],[0,259,268,1,0],[1,268,277,1,0],[0,269,278,1,0],[1,277,287,1,0],[0,285,294,1,0],[1,292,302,1,0],[0,294,303,1,0],[1,306,316,1,0],[0,307,316,1,0],[1,318,328,1,0],[0,320,329,1,0],[1,330,339,1,0],[0,331,340,1,0],[0,340,349,1,0],[1,344,354,1,0],[0,358,367,1,0],[1,360,370,1,0],[1,370,379,1,0],[0,371,380,1,0],[1,385,394,1,0],[0,388,395,1,0],[1,395,405,1,0],[0,401,410,1,0],[1,405,414,1,0],[1,414,424,1,0],[1,425,434,1,0],[1,439,449,1,0],[0,448,457,1,0],[1,452,462,1,0],[1,462,471,1,0],[1,471,475,1,0],[1,482,489,1,0]],[[0,37,46,1,0],[0,54,63,1,0],[0,75,84,1,0],[0,85,94,1,0],[1,97,106,1,0],[0,98,107,1,0],[1,106,116,1,0],[0,107,116,1,0],[0,116,125,1,0],[1,119,129,1,0],[0,130,133,1,0],[0,133,142,1,0],[1,142,152,1,0],[0,143,152,1,0],[1,158,167,1,0],[0,159,168,1,0],[1,170,180,1,0],[0,173,182,1,0],[0,182,191,1,0],[1,186,196,1,0],[0,191,200,1,0],[1,198,207,1,0],[0,207,216,1,0],[1,214,223,1,0],[0,216,225,1,0],[1,225,234,1,0],[0,229,238,1,0],[0,238,247,1,0],[1,243,252,1,0],[0,247,256,1,0],[1,258,268,1,0],[0,259,266,1,0],[0,266,275,1,0],[1,271,280,1,0],[0,280,289,1,0],[1,283,292,1,0],[0,289,298,1,0],[0,298,307,1,0],[1,301,311,1,0],[0,311,320,1,0],[1,314,324,1,0],[0,320,329,1,0],[1,327,336,1,0],[0,331,340,1,0],[1,338,348,1,0],[0,341,350,1,0],[1,350,360,1,0],[0,354,363,1,0],[1,369,379,1,0],[0,370,379,1,0],[1,380,389,1,0],[1,389,398,1,0],[1,401,411,1,0],[0,402,411,1,0],[1,411,414,1,0],[1,415,424,1,0],[0,420,426,1,0],[1,425,434,1,0],[0,426,435,1,0],[1,439,449,1,0],[1,449,457,1,0],[0,454,456,1,0],[1,464,474,1,0],[1,474,483,1,0],[1,483,492,1,0]],[[0,42,51,1,0],[0,60,69,1,0],[0,75,84,1,0],[0,95,104,1,0],[1,97,106,1,0],[0,104,113,1,0],[1,106,116,1,0],[0,115,124,1,0],[1,118,128,1,0],[0,124,133,1,0],[1,131,140,1,0],[1,140,149,1,0],[0,142,151,1,0],[1,149,159,1,0],[0,152,161,1,0],[1,159,168,1,0],[0,163,172,1,0],[1,168,177,1,0],[0,175,184,1,0],[1,177,187,1,0],[1,187,197,1,0],[0,188,197,1,0],[1,197,207,1,0],[0,198,207,1,0],[1,213,223,1,0],[0,214,223,1,0],[1,226,228,1,0],[0,227,236,1,0],[1,230,240,1,0],[0,236,245,1,0],[1,242,252,1,0],[0,245,254,1,0],[1,252,262,1,0],[0,254,263,1,0],[1,263,273,1,0],[0,272,281,1,0],[1,276,286,1,0],[1,286,296,1,0],[0,287,296,1,0],[1,297,307,1,0],[0,297,306,1,0],[1,307,317,1,0],[0,310,319,1,0],[1,320,330,1,0],[0,325,334,1,0],[1,330,339,1,0],[1,343,353,1,0],[0,350,359,1,0],[1,353,363,1,0],[1,363,365,1,0],[1,371,380,1,0],[0,379,388,1,0],[1,386,395,1,0],[1,398,408,1,0],[1,416,426,1,0],[1,430,440,1,0]],[[0,30,39,1,0],[0,50,59,1,0],[0,72,81,1,0],[0,82,91,1,0],[0,92,101,1,0],[1,97,106,1,0],[0,112,121,1,0],[1,115,125,1,0],[0,122,131,1,0],[1,125,134,1,0],[1,134,144,1,0],[0,137,146,1,0],[0,146,155,1,0],[1,152,161,1,0],[1,161,167,1,0],[0,163,172,1,0],[1,167,177,1,0],[0,175,184,1,0],[1,181,191,1,0],[0,184,193,1,0],[1,192,202,1,0],[0,198,207,1,0],[1,202,212,1,0],[0,207,216,1,0],[1,212,222,1,0],[0,220,229,1,0],[1,226,235,1,0],[0,235,244,1,0],[1,237,247,1,0],[0,245,254,1,0],[1,247,257,1,0],[0,254,263,1,0],[1,257,267,1,0],[0,263,272,1,0],[1,267,276,1,0],[0,273,282,1,0],[1,276,284,1,0],[1,286,296,1,0],[0,287,296,1,0],[1,297,307,1,0],[0,301,310,1,0],[1,309,318,1,0],[0,311,320,1,0],[0,320,329,1,0],[1,324,334,1,0],[0,331,340,1,0],[0,340,349,1,0],[1,344,353,1,0],[1,356,366,1,0],[0,360,369,1,0],[1,368,378,1,0],[0,369,378,1,0],[0,378,387,1,0],[1,381,390,1,0],[0,390,399,1,0],[1,396,406,1,0],[0,401,410,1,0],[1,409,419,1,0],[0,410,419,1,0],[1,419,429,1,0],[1,435,445,1,0],[1,445,455,1,0]],[[1,97,107,1,0],[1,112,122,1,0],[1,122,131,1,0],[1,131,141,1,0],[1,141,150,1,0],[1,151,160,1,0],[1,160,170,1,0],[1,170,179,1,0],[1,179,185,1,0],[1,185,195,1,0],[1,197,206,1,0],[1,207,217,1,0],[1,219,228,1,0],[1,230,239,1,0],[1,239,248,1,0],[1,248,257,1,0],[1,260,270,1,0],[1,271,280,1,0],[1,281,290,1,0],[1,290,300,1,0],[1,300,309,1,0],[1,309,319,1,0],[1,319,329,1,0],[1,329,339,1,0],[1,339,349,1,0],[1,349,359,1,0],[1,361,371,1,0],[1,371,381,1,0],[1,382,392,1,0],[1,392,402,1,0]],[[1,97,107,1,0],[1,111,121,1,0],[1,121,130,1,0],[1,130,140,1,0],[1,142,151,1,0],[1,151,160,1,0],[1,161,171,1,0],[1,171,180,1,0],[1,182,191,1,0],[1,196,205,1,0],[1,206,215,1,0],[1,215,224,1,0],[1,227,236,1,0],[1,236,246,1,0],[1,246,256,1,0],[1,256,265,1,0],[1,265,274,1,0],[1,279,288,1,0],[1,288,298,1,0],[1,298,306,1,0],[1,306,316,1,0],[1,318,328,1,0],[1,328,338,1,0],[1,338,348,1,0],[1,353,363,1,0],[1,366,376,1,0],[1,376,386,1,0],[1,398,408,1,0],[1,418,428,1,0],[1,428,436,1,0]],[[1,97,107,1,0],[1,138,148,1,0],[1,148,158,1,0],[1,160,170,1,0],[1,170,180,1,0],[1,182,192,1,0],[1,192,202,1,0],[1,202,211,1,0],[1,211,221,1,0],[1,221,231,1,0],[1,236,246,1,0],[1,248,258,1,0],[1,258,268,1,0],[1,268,278,1,0],[1,278,287,1,0],[1,289,299,1,0],[1,301,311,1,0],[1,314,324,1,0],[1,325,334,1,0],[1,334,343,1,0],[1,345,355,1,0],[1,358,368,1,0],[1,368,377,1,0],[1,379,388,1,0],[1,388,397,1,0],[1,397,406,1,0],[1,406,415,1,0],[1,415,424,1,0],[1,424,428,1,0],[1,428,437,1,0],[1,437,438,1,0]],[[1,103,113,1,0],[1,119,129,1,0],[1,130,140,1,0],[1,140,150,1,0],[1,161,171,1,0],[1,172,182,1,0],[1,183,193,1,0],[1,193,202,1,0],[1,204,214,1,0],[1,214,223,1,0],[1,225,235,1,0],[1,237,247,1,0],[1,249,259,1,0],[1,260,270,1,0],[1,273,283,1,0],[1,283,293,1,0],[1,293,302,1,0],[1,302,312,1,0],[1,316,326,1,0],[1,326,328,1,0],[1,329,339,1,0],[1,342,352,1,0],[1,353,362,1,0],[1,365,374,1,0],[1,374,383,1,0],[1,383,392,1,0],[1,392,401,1,0],[1,404,413,1,0],[1,415,424,1,0],[1,424,434,1,0],[1,435,437,1,0]]]