var starts = new Array(
0,2,4, 0,2,5, 0,2,10, 0,2,11, 0,2,12, 0,2,13, 0,2,16, 0,2,17, 0,2,18, 0,2,19,
0,2,22, 0,2,23, 0,3,10, 0,3,11, 0,3,12, 0,3,13, 0,3,16, 0,3,17, 0,3,18, 0,3,19,
0,3,22, 0,3,23, 0,4,8, 0,4,9, 0,4,11, 0,4,12, 0,4,13, 0,4,14, 0,4,15, 0,4,16,
0,4,17, 0,4,18, 0,4,19, 0,4,20, 0,4,21, 0,4,22, 0,4,23, 0,5,8, 0,5,12, 0,5,13,
0,5,14, 0,5,18, 0,5,19, 0,5,20, 0,8,10, 0,8,11, 0,8,12, 0,8,16, 0,8,17, 0,8,18,
0,8,19, 0,8,22, 0,8,23, 0,9,11, 0,9,12, 0,9,13, 0,9,16, 0,9,17, 0,9,18, 0,9,19,
0,9,22, 0,9,23, 0,10,12, 0,10,13, 0,10,14, 0,10,15, 0,10,17, 0,10,18, 0,10,19, 0,10,20,
0,10,21, 0,10,22, 0,10,23, 0,11,12, 0,11,13, 0,11,14, 0,11,15, 0,11,16, 0,11,18, 0,11,19,
0,11,20, 0,11,21, 0,11,22, 0,11,23, 0,12,14, 0,12,15, 0,12,16, 0,12,17, 0,12,20, 0,12,21,
0,12,22, 0,13,15, 0,13,16, 0,13,17, 0,13,21, 0,13,22, 0,14,16, 0,14,17, 0,14,22, 0,15,17,
0,15,19, 0,15,22, 0,16,19, 0,16,20, 0,16,21, 0,17,19, 0,17,20, 0,17,21, 0,17,22, 0,19,21,
0,19,22, 0,20,22, 1,3,10, 1,3,11, 1,3,12, 1,3,13, 1,3,16, 1,3,17, 1,3,19, 1,3,22,
1,4,12, 1,4,13, 1,4,14, 1,4,19, 1,4,20, 1,9,11, 1,9,12, 1,9,13, 1,9,16, 1,9,17,
1,9,19, 1,9,22, 1,10,12, 1,10,13, 1,10,14, 1,10,15, 1,10,17, 1,10,19, 1,10,20, 1,10,21,
1,10,22, 1,11,12, 1,11,13, 1,11,14, 1,11,15, 1,11,16, 1,11,19, 1,11,20, 1,11,21, 1,11,22,
1,12,14, 1,12,15, 1,12,16, 1,12,17, 1,12,20, 1,12,21, 1,13,15, 1,13,16, 1,13,17, 1,13,21,
1,14,16, 1,14,17, 1,15,17, 1,16,20, 1,16,21, 1,17,20, 1,17,21, 2,6,10, 2,6,11, 2,6,16,
2,6,17, 2,10,12, 2,10,13, 2,10,17, 2,11,12, 2,11,13, 2,11,16, 2,12,16, 2,12,17, 2,13,16, 
2,13,17, 6,8,10, 6,8,11, 6,8,16, 6,8,17, 6,9,16, 6,9,17, 6,10,14, 6,10,15, 6,10,17, 6,11,14, 6,14,16, 7,9,16
);
var sols = new Array(
// 0,2,4
"00011100221100112220011222000111002211001100020010002000012222112001012122101212222100112212212020211202022111221122",
// 0,2,5
"00011100002200111220011122000111222222001100220010022000012222002001122012112201122122112201212121001212100001001122",
// 0,2,10
"00011100001100111020011102000111002222001122020012202000010022222001101022110102222122002202211211111121111111222222",
// 0,2,11
"00011100220000111220011122000111220022001102220010222000012222222001112012111201122122112201212001001200100001112222",
// 0,2,12
"00011100001100110220011022000111000022001101122010112220012222112201000222100022222122221122211120101112011001002222",
// 0,2,13
"00011100111100110010011001000111002211001100102210010222212222220221011022101102222100222202211121201112122001000022",
// 0,2,16
"00011122220000110220011022000111000000001111220011122000010022222001221012122101122111222201212012211201222111222222",
// 0,2,17
"00011100222200111120011112000111222222001102020010202000012200222001122012112201122111222201212001001200100001221122",
// 0,2,18
"00011100112200110010011001000111222211001100220010022000010022222001102222110222222100221122211122211112222111222222",
// 0,2,19
"00011100111100110020011002000111222222001101120010112000010011222001112022111202222100222202211021221102122221222222",
// 0,2,22
"00011122001100112020011202000111112222001111220011122000012222222001100012110001122100222201212201001220100001222222",
// 0,2,23
"00011100222200111120011112000111222222001102120010212000012222002001120012112001122111002201212221001222100001220022",
// 0,3,10
"00000111002200011020011102000111112211001122120212212002210022222021111120111112200100002212012210201221022001002222",
// 0,3,11
"00000111000000011110011111000111110022001102220210222002210011222021211120121112200100222212012200221220022221221100",
// 0,3,12
"00000111221100011120011112000111112222001100022210002222210011222221021220102122200122112222010000121000011221001100",
// 0,3,13
"00000111002200011110011111000111112222001100002210000222210011220221001022100102222122112202210121201012122001002222",
// 0,3,16
"00000111000000011110011111000111110022001102120210212002210022112021222120122212200100221112010220221022022221221122",
// 0,3,17
"00000111220000011220011122000111111100001100220210022002210011222021022210102221100122112221012200221220022221221122",
// 0,3,18
"00000111001100011120011112000111110022001121120212112002210022222021002220100222200122111122010222201022222001221122",
// 0,3,19
"00011111002200111110001111000001112222000100112010011220012222221201002022100202222100111102211220221122022221001122",
// 0,3,22
"00000111000000011110011111000111110022001102020210202002210022222021001210100121100122222221012211221221122221112222",
// 0,3,23
"00000111002200011110011111000111110022001102120210212002210022222021002210100221100122222221011220221122022221001122",
// 0,4,8
"00000200112200021100022110000222001122002200010220001002221111221022011101201110011211111110120221212022122112222211",
// 0,4,9
"00000200112200021100012110000112221122001221020122102001122200112012022012202201122200111101222101002210100002001111",
// 0,4,11
"00000100110000011100011110000111001122001102202210220222211100220221200120120012200122221112011222021122200221002211",
// 0,4,12
"00000100110000011110011111000111001122001100022210002222211122222221211220121122200122002222010012121001211221002200",
// 0,4,13
"00011100110000111110001111000001001122000100102210010222211122220221002122100212222122222212210110211011022111000022",
// 0,4,14
"00011200112200121100002110000002001122000200111220011112220011111122011012201101122211222201220021212002122112222200",
// 0,4,15
"00000211112200021110012111000112111122001210111021011110022211221102200020220002200222111102021020022102000222222200",
// 0,4,16
"00000100110000011120011112000111001122001100120210012002211122002021220120122012200122222212011120221112022221002222",
// 0,4,17
"00000100112200011110011111000111001100001100220210022002211122222021222122122212222100112212212002101200211001220022",
// 0,4,18
"00000100112200011110011111000111001122001100120210012002212222222021022220102222200111111122012022201202222001221122",
// 0,4,19
"00022011112200201100010110000110111122001002111000211110002211111100022022002202222022222202201112220111222220111122",
// 0,4,20
"00011200112200121110002111000002001122000210112021011220021111221202001002200100022211111100221221122122111222112222",
// 0,4,21
"00022200111100221100002110000002001122000200001120000111121111220112111210211121100222222221022110202211022002222200",
// 0,4,22
"00000100112200011110011111000111001122001100120210012002211122002021211220121122200122222222012200121220011221002200",
// 0,4,23
"00000100112200011110011111000111001100001100220210022002211122112021202120120212200122002212011222221122222221222222",
// 0,5,8
"00000200111100020110022011000222112211002200010220001002221122221022010101201010011222112210121111102111111002112222",
// 0,5,12
"00000100111100010110011011000111222211001100022210002222212200112221120220112022200122001122012220101222011001110022",
// 0,5,13
"00011100001100110110001011000001112211000110002211000222212222110221220122122012222122000012211220101122011001220000",
// 0,5,14
"00011200001100120110002011000002002211000200011220001112222222221122101012210101122200111101222211012221100112111111",
// 0,5,18
"00000100111100010110011011000111222211001100020210002002212211112021120220112022200122221122012202201220222001001122",
// 0,5,19
"00022011111100200110010011000110221111001002111000211110002211111100122022012202222011221102202222220222222220221100",
// 0,5,20
"00011200001100121110002111000002000011000211012021101220021111221202121002212100022211222200220111122011111222112222",
// 0,8,10
"00000100001100011020011102000111002222001122020112202001110022222011102202110220022122111120211221201122122001222222",
// 0,8,11
"00000100111100010020011002000111221122001102220110222001112211222011121202112120022122220020212221101222111001220000",
// 0,8,12
"00000100001100010000011000000111112211001120222112022221112222112211000222100022222100222222210110101011011001222222",
// 0,8,16
"00000111000000012220011222000111000022001110120111012001110022112011222202122220022100222220211102121110211221222222",
// 0,8,17
"00000100110000010220011022000111222200001102220110222001112211222011122202112220022100222220211121101112111001002222",
// 0,8,18
"00022100110000211210011121000111002222001110010111001001112222001011002220100222200100222222012112221211222221112222",
// 0,8,19
"00000100112200010010011001000111222222001101120110112001110011222011120022112002222100002202211210221121022221222222",
// 0,8,22
"00000100110000010220011022000111222222001111220111122001110022222011100202110020022100222220212211101221111001222211",
// 0,8,23
"00000100221100010220011022000111222222001100220110022001112222112011112202111220022100222220211221101122111001000022",
// 0,9,11
"00011100000000112200001220000001110022000112212011221220011100221201110012111001122122000001211222221122222221222222",
// 0,9,12
"00011100000000112110001211000001110022000110022011002220011122222201112222111222222122220022210110121011011221002200",
// 0,9,13
"00011100110000110020001002000001112211000110002211000222211122110221002122100212222122221112210220211022022111002211",
// 0,9,16
"00011100000000112110001211000001110000000111212011121220011122221201220002122000022122222200211212211121222111220022",
// 0,9,17
"00011100112200112210001221000001110000000111112011111220011100221201122002112200022122002200212112221211222221222222",
// 0,9,18
"00011111002200112000001200000001110022000111121211112112211100222121212220121222200122000022011222201122222001002222",
// 0,9,19
"00011100000000112120001212000001110022000111112011111220011100221201112022111202222122222202210010221001022221002222",
// 0,9,22
"00011100000000112120001212000001110022000111012011101220011100221201111002111100022122222200212212221221222221002222",
// 0,9,23
"00011100000000112110001211000001112200000112112011211220011122001201111002111100022122222200210222221022222221221122",
// 0,10,12
"00000100000000012000011200000111001122001111122211112222210011222221021220102122200111112222012000121200011221220022",
// 0,10,13
"00011100002200112000001200000001001122000111002211100222210011220221021122102112222111112212212022101202211001110022",
// 0,10,14
"00011200110000120020002002000002001122000211111221111112220011111122010012201001122211222201220011212001122112222222",
// 0,10,15
"00022200000000221220002122000002001111000211211021121110022211001102222101222210011222110010121112022111200222112222",
// 0,10,17
"00000100112200012020011202000111001100001111002211100222210011220221022120102212200111002212012212121221211221220022",
// 0,10,18
"00000100000000012120011212000111001122001111120211112002210011222021021220102122200122111122010222201022222001222222",
// 0,10,19
"00022011001100202210010221000110111111001011211001121110001111221100021022002102222022222202200112220011222220221122",
// 0,10,20
"00011211000000121110002111000002001100000211112021111220020011221202110002211000022211222200221121122112111222222222",
// 0,10,21
"00022200111100220000002000000002111122000211101121110111121111220112100210210021100222222221022110202211022002222200",
// 0,10,22
"00000111110000010200011020000111001122001111120211112002210011222021002120100212200122221112012221221222122221002222",
// 0,10,23
"00000100000000012120011212000111001122001111220211122002210011002021022120102212200122112212012221201222122001221122",
// 0,11,12
"00000100112200010000011000000111221111001101122210112222212222112221112220111222200122002222012000101200011001220022",
// 0,11,13
"00011100110000110220001022000001110011000111102211110222212200110221100122110012222122222212212000101200011001222222",
// 0,11,14
"00011200222200120010002001000002001111000201111220111112221122111122211012221101122211002201222001012200100112002222",
// 0,11,15
"00000200000000020220012022000112110011001211111021111110022211111102211020221102200222002202021111022111100222222222",
// 0,11,16
"00000100001100011200011120000111000011001101102210110222211122110221220120122012200122220012011202021120200221222222",
// 0,11,18
"00000100111100010000011000000111222211001101120210112002211122112021202220120222200122111122012202201220222001221122",
// 0,11,19
"00022011110000200220010022000110221111001001111000111110002211111100112022011202222011222202202112220211222220222222",
// 0,11,20
"00011200110000121120002112000002000011000211112021111220021100111202112002211200022211222200222111122211111222002222",
// 0,11,21
"00022200111100220000002000000002112211000211101121110111121122110112110210211021100222002221022210202221022002220022",
// 0,11,22
"00000122221100010000011000000111222211001111120211112002212200112021222110122211100100222211012202201220222001222200",
// 0,11,23
"00000100222200010210011021000111222211001111120211112002210022112021100120110012200100112212012220201222022001222222",
// 0,12,14
"00011200112200120000002000000002001122000200111220011112221122221122011112201111122222112211220111012011100112002211",
// 0,12,15
"00022200001100221000002100000002002211000210211021021110022200111102222111222211111222001111121220212122022112221100",
// 0,12,16
"00000200110000021110012111000112000022001201011020101110020022221102221112222111122200221111220110212011022112220022",
// 0,12,17
"00000200112200020120012012000112002211001201111020111110021122221102022112202211122200002211222111012211100112000022",
// 0,12,20
"00000200111100020110012011000112002222001201111020111110021122221102000112200011122200112211220210122021011222221122",
// 0,12,21
"00000200001100021110022111000222000022002200011120001111121111221112021110202111100222111111022220202222022002220011",
// 0,12,22
"00000211111100020110012011000112002222001210111021011110020000221102021112202111122200221111222221012222100112002211",
// 0,13,15
"00011200001100120220002022000002001111000201121120112111122211222112200011220001111222112201120011022001100222222222",
// 0,13,16
"00011200002200121100002110000002000011000202021120202111120022112112222011222201111200221101122201122220111222110000",
// 0,13,17
"00011200220000120110002011000002002211000201121120112111122200222112222011222201111200002201121111022111100222002222",
// 0,13,21
"00000200002200022010022201000222001122002210201121020111120011110112002211200221111222111121122210002221000002221111",
// 0,13,22
"00011211110000120220002022000002001122000211121121112111120000112112022011202201111200221101122221022222100222002200",
// 0,14,16
"00022100112200211020001102000001000011000102212110221221110022111211222021122202211100222202111022021102200221221122",
// 0,14,17
"00022100221100210220001022000001002211000102012110201221111100221211222021122202211100002202111121021112100221002222",
// 0,14,22
"00022111110000210220001022000001001100000112212111221221110000221211022021102202211100221102112221021222100221222211",
// 0,15,17
"00022100001100212220011222000111000011001122221012222110011122222101122100112210000111002210012012221201222221220022",
// 0,15,19
"00022100002200211120011112000111002222001101020010102000011122002001112022111202222111220002210211221021122221222222",
// 0,15,22
"00022100002200212000011200000111000022001121121012112110011122222101102100110210000111222210012212221221222221222222",
// 0,16,19
"00022022222200200010010001000110112222001021111002111110001111221100112022011202222011112202202112220211222220220011",
// 0,16,20
"00011200000000121110002111000002110022000211112021111220020011221202112002211200022200112200222121122212111222111111",
// 0,16,21
"00011200111100122220022222000222000011002202101020210110020011220102111110211111100222111111022012012201200112221122",
// 0,17,19
"00022011112200200120010012000110221111001002211000221110002211111100111022011102222011221102202222220222222220221100",
// 0,17,20
"00011200002200121120002112000002000011000212112021211220021111111202011002201100022211111100222221122222111222001122",
// 0,17,21
"00022200000000221120002112000002002211000200001120000111121122110112111210211121100222111121022220202222022002221122",
// 0,17,22
"00000100001100012220011222000111000011001120011212001112212200111121011022101102222122221102212200201220022001002200",
// 0,19,21
"00022211002200221110012111000112000022001220120022012000020011222002011011201101111222221101122021112202111112222211",
// 0,19,22
"00011011110000102120020212000220222211002002222000222220001122112200011011001101111011222201102211110221111110112222",
// 0,20,22
"00022122000000212220001222000001000022000122121012212110012211222101111001111100011100222200112212211221222111002211",
// 1,3,10
"00000111002200011022001102200001112211200122120112212001110022222011102212110221122100002221212211201221122001000022",
// 1,3,11
"20000111000020011102001110200001110022200102210110221001112200221011110022111002222122221102210222021022200221221122",
// 1,3,12
"10000111000010011000001100000001112222000100022110002221112211222211002222100222222122111122210221021022100221111111",
// 1,3,13
"00000111000000011111001111100001110022100100002210000222211122220221011222101122222122222222210121011012100111000022",
// 1,3,16
"10000111000010011112001111200001110022200100220110022001112222112011222122122212222122221112210001021000100221002222",
// 1,3,17
"00000111222200011012001101200001111122200100020110002001112222222011022212102221122100112221210021221002122221221122",
// 1,3,19
"00000111002200011112001111200001112222200100120110012001112211222011002022100202222100112202210121221012122221222222",
// 1,3,22
"00000111222200011002001100200001111122200100120110012001112211222011001212100121122100220021212221221222122221222222",
// 1,4,12
"10000100112210011110001111000001001122000100122110012221112222222211002222100222222111221122210021021002100221220011",
// 1,4,13
"20000100112220011101001110100001001122100100022210002222210022222221002122100212222122002212211111101111111001001122",
// 1,4,14
"10000200111110021111002111100002001122100200120220012002221100222022111112211111122200002211222121012212100112002211",
// 1,4,19
"00000100112200011112001111200001001122200100120110012001112222112011001222100122222100222222211021221102122221222211",
// 1,4,20
"10000200112210021101002110100002001122100200020120002001120011222012011112201111122211112211221202022120200222112222",
// 1,9,11
"10000100000010012012001201200001110022200112220111222001111100222011222212122221122100000021211221221122122221002211",
// 1,9,12
"10000100001110012000001200000001110022000111122111112221111100222211221222122122222100110022210221021022100221221100",
// 1,9,13
"00000100002200011101001110100001110022100111102211110222211122220221000222100022222122002222210211011021100111001122",
// 1,9,16
"20000100002220012002001200200001110022200110110111011001111122221011220012122001122100222201212112021211200221222222",
// 1,9,17
"10000100001110012022001202200001110000200111220111122001111100222011222212122221122100002221212201221220122221001122",
// 1,9,19
"00000100000000012222001222200001110022200111110111111001111100221011221022122102222100112202210210221021022221221100",
// 1,9,22
"20000100002220012001001200100001110022100111120111112001111100222011202212120221122100222221212210221221022221002200",
// 1,10,12
"10000100000010012100001210000001001122000111122111112221110011222211100222110022222122222222210021021002100221220011",
// 1,10,13
"00000100001100010222001022200001001122200111102211110222210011220221101122110112222122112212210021101002111001002222",
// 1,10,14
"00000200001100022001002200100002001111100211020221102002220011112022102212210221122211001121222210112221011112111122",
// 1,10,15
"00000200001100021102002110200002001122200211010121101001122211221012211201221120011222112220120001122000111222221122",
// 1,10,17
"10000100000010012022001202200001001100200111120111112001110011222011222022122202222111112202212022121202211221002222",
// 1,10,19
"00000100001100012022001202200001001111200111020111102001110011222011011222101122222122222222210021221002122221222211",
// 1,10,20
"10000200002210020122002012200002001111200211210121121001120011001012211112221111122200110011222222022222200222111122",
// 1,10,21
"10000200000010020112002011200002001122200211110121111001120011221012100011210001111222222201122012122201211222222222",
// 1,10,22
"00000100002200012002001200200001001122200111120111112001110011222011020112102011122122222211212212201221222001222200",
// 1,11,12
"10000100001110010200001020000001220011000111122111112221112200112211222222122222222111000022212210101221011001002200",
// 1,11,13
"00000100000000010201001020100001220011100111102211110222212200110221221122122112222122221112210010101001011001222211",
// 1,11,14
"00000200221100020121002012100002111111100201110220111002220011111022222012222201122200110001221212012121200112112222",
// 1,11,15
"10000200001110020201002020100002110011100211120121112001122211112012221110222111100222001111022222022222200222110011",
// 1,11,16
"00000100000000011212001121200001000011200101120110112001112222112011220212122021122122222221212001201200122001112222",
// 1,11,19
"00000100221100010002001000200001222211200101110110111001111122111011020022102002222122221102211200221120022221222222",
// 1,11,20
"00000200110000021122002112200002110011200201110120111001120011111012212012221201122200112201222202022220200222111122",
// 1,11,21
"10000200111110020221002022100002001111100201120120112001121111112012122110212211100222110011022222022222200222222200",
// 1,11,22
"00000122221100010002001000200001222211200121120112112001111100112011222212122221122100221121212220001222000001002222",
// 1,12,14
"10000200112210020000002000000002001122000200111220011112221122221122011112201111122222112211220111012011100112112211",
// 1,12,15
"00000200002200020102002010200002110022200211111121111111122200111112222110222211100222001111021022022102200222222211",
// 1,12,16
"00000200000000021101002110100002000022100201111120111111120022221112221112222111122200221111221100202110022002220022",
// 1,12,17
"00000200222200020011002001100002002200100211111121111111120022221112122112212211122211002211221102002110200002220022",
// 1,12,20
"00000200112200020011002001100002001122100201111120111111121122221112002112200211122200222211221122022112200222000011",
// 1,12,21
"00000200001100021001002100100002002211100200211120021111120022111112101112210111122222222211222112002211200002221122",
// 1,13,15
"00000200002200020111002011100002002222100211101121110111122200110112222111222211111222000011120212022021200222221100",
// 1,13,16
"10000200001110021002002100200002000011200201011120101111120022111112222211222221111200221121122022202202222002112211",
// 1,13,17
"00000200221100020111002011100002002222100200001120000111121111220112022211202221111200112221122210102221011002221122",
// 1,13,21
"00000200001100021021002102100002002211100200201120020111120022000112222211222221111222111121122210102221011002221111",
// 1,14,16
"10000122000010010222001022200001000000200111220111122001110022222011221221122122211100222222112111021211100221111122",
// 1,14,17
"00000100001100010222001022200001222211200112110111211001110000221011122021112202211100112202112202021220200221222222",
// 1,15,17
"10000100222210011012001101200001000022200120020112002001111100222011122212112221122111002221212211221221122221002200",
// 1,16,20
"10000200111110022222002222200002000011200201210120121001120011111012112112211211122200110011222112022211200222222200",
// 1,16,21
"10000200222210020011002001100002002222100201120120112001121111222012112110211211100222112211022111022211100222221100",
// 1,17,20
"00000200112200021122002112200002110011200201210120121001120011111012211012221101122200001101222222022222200222112211",
// 1,17,21
"10000200220010020111002011100002002211100200220120022001121122112012111110211111100222111111022222022222200222221122",
// 2,6,10
"21100000001121002121100212111000002222110022211102221111102222111110002202000220022011221120200222210022222110111111",
// 2,6,11
"21100000000021001111100111111000220022110002211100221111102222221110112202011220022022221120202222100222211000110022",
// 2,6,16
"21100011111121000211100021111000111122110020211102021111100022221110221202022120022022222220200112100011211000222222",
// 2,6,17
"21100000000021001111100111111000222200110002011100201111102211221110122202012220022022222220202112100211211000222222",
// 2,10,12
"02200000001102002111100211111000001122110011122101112221101111222210000222000022222011222222201021020102100220112211",
// 2,10,13
"10000022001110001112100111211000001122210011212201121222201111221220000022000002222011222202201021110102111110222222",
// 2,10,17
"02200000000002002111100211111000001100110011121101112111101111222110022122002212222022222212200212020021200220221122",
// 2,11,12
"02200011110002000211000021100000111111100011122101112221101122112210221221022122211022110022102220020222000220221100",
// 2,11,13
"00000000001100002201100220111000111111110001102200110222201111110220022222002222222022221122200112110011211110221122",
// 2,11,16
"20000000000020001210200121022000110011020001122100112221101122112210220212022021122011222221201011120101111220112211",
// 2,12,16
"02200022221102001201000120100000110022100001111100111111101122221110220112022011122011222211201002220100222220222222",
// 2,12,17
"02200000112202002211000221100000221111100000211100021111102211221110122112012211122022002211202212010221200110112222",
// 2,13,16
"02200011112202000021100002111000221111110002221100222111100022222110220211022021111022222221100111020011100220222222",
// 2,13,17
"02200000221102000201100020111000222222110001121100112111101122222110022211002221111011002221102211020221100220220022",
// 6,8,10
"20000100001120011020011102000111002222001122000112200001110022220011202212120221122111001121212220221222022221000011",
// 6,8,11
"20000100110020010020011002000111221122001102200110220001112222220011221212122121122122000021211222101122211001220000",
// 6,8,16
"20000111001120012210011221000111000022001110200111020001110022220011222212122221122100221121212021201202122001220022",
// 6,8,17
"20000100221120010000011000000111222211001102000110200001112200220011122212112221122122002221212212101221211001002222",
// 6,9,16
"12200100002212012100001210000001110022000110000111000001111122220011220222122022222100222222211110121111011221000022",
// 6,9,17
"12200100000012012110001211000001110022000111000111100001111100220011222122122212222100002212212022121202211221222222",
// 6,10,14
"21111200002221122010002201000002001122000211100221110002220011220022102102210210022211111110221200112120011112112211",
// 6,10,15
"21122200001121221100002110000002001122000211000121100001122211220012211201221120011222112220120001122000111222001122",
// 6,10,17
"01100200001101021220012122000112001100001211000121100001121111220012022022202202222211002202221112002111200002111122",
// 6,11,14
"21111200222221120020002002000002111111000201100220110002221111110022122102212210022211001110222210112221011112000022",
// 6,14,16
"21122111001121212210001221000001000022000111100111110001110022220011221201122120011100222220112021221202122221220022",
// 7,9,16
"00011100002200112112001211200001110022200110010011001000011122221001220222122022222122221122211000211100022111002211"
);