AI Fall 2006 - Tic Tac Toe Boards
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HW1 Assignment
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HW1 FAQ
Patience... (this is quite large and takes a while to load)
Board Numbers are in base 3
(which may, or may not, mean anything to you...)
Updated 9/14 7pm. Note to self:
(= x 0)
is not the same as
(= x o)
Legal Boards
Illegal Boards
Board 0
Board 1
X
Board 10
X
Board 12
X
O
Board 21
O
X
Board 100
X
Board 102
X
O
Board 112
X
X
O
Board 120
X
O
Board 121
X
O
X
Board 201
O
X
Board 210
O
X
Board 211
O
X
X
Board 1000
X
Board 1002
X
O
Board 1012
X
X
O
Board 1020
X
O
Board 1021
X
O
X
Board 1102
X
X
O
Board 1120
X
X
O
Board 1122
X
X
O
O
Board 1200
X
O
Board 1201
X
O
X
Board 1210
X
O
X
Board 1212
X
O
X
O
Board 1221
X
O
O
X
Board 2001
O
X
Board 2010
O
X
Board 2011
O
X
X
Board 2100
O
X
Board 2101
O
X
X
Board 2110
O
X
X
Board 2112
O
X
X
O
Board 2121
O
X
O
X
Board 2211
O
O
X
X
Board 10000
X
Board 10002
X
O
Board 10012
X
X
O
Board 10020
X
O
Board 10021
X
O
X
Board 10102
X
X
O
Board 10120
X
X
O
Board 10122
X
X
O
O
Board 10200
X
O
Board 10201
X
O
X
Board 10210
X
O
X
Board 10212
X
O
X
O
Board 10221
X
O
O
X
Board 11002
X
X
O
Board 11020
X
X
O
Board 11022
X
X
O
O
Board 11122
X
X
X
O
O
Board 11200
X
X
O
Board 11202
X
X
O
O
Board 11212
X
X
O
X
O
Board 11220
X
X
O
O
Board 11221
X
X
O
O
X
Board 12000
X
O
Board 12001
X
O
X
Board 12010
X
O
X
Board 12012
X
O
X
O
Board 12021
X
O
O
X
Board 12100
X
O
X
Board 12102
X
O
X
O
Board 12112
X
O
X
X
O
Board 12120
X
O
X
O
Board 12121
X
O
X
O
X
Board 12201
X
O
O
X
Board 12210
X
O
O
X
Board 12211
X
O
O
X
X
Board 20001
O
X
Board 20010
O
X
Board 20011
O
X
X
Board 20100
O
X
Board 20101
O
X
X
Board 20110
O
X
X
Board 20112
O
X
X
O
Board 20121
O
X
O
X
Board 20211
O
O
X
X
Board 21000
O
X
Board 21001
O
X
X
Board 21010
O
X
X
Board 21012
O
X
X
O
Board 21021
O
X
O
X
Board 21100
O
X
X
Board 21102
O
X
X
O
Board 21112
O
X
X
X
O
Board 21120
O
X
X
O
Board 21121
O
X
X
O
X
Board 21201
O
X
O
X
Board 21210
O
X
O
X
Board 21211
O
X
O
X
X
Board 22011
O
O
X
X
Board 22101
O
O
X
X
Board 22110
O
O
X
X
Board 22111
O
O
X
X
X
Board 100000
X
Board 100002
X
O
Board 100012
X
X
O
Board 100020
X
O
Board 100021
X
O
X
Board 100102
X
X
O
Board 100120
X
X
O
Board 100122
X
X
O
O
Board 100200
X
O
Board 100201
X
O
X
Board 100210
X
O
X
Board 100212
X
O
X
O
Board 100221
X
O
O
X
Board 101002
X
X
O
Board 101020
X
X
O
Board 101022
X
X
O
O
Board 101122
X
X
X
O
O
Board 101200
X
X
O
Board 101202
X
X
O
O
Board 101212
X
X
O
X
O
Board 101220
X
X
O
O
Board 101221
X
X
O
O
X
Board 102000
X
O
Board 102001
X
O
X
Board 102010
X
O
X
Board 102012
X
O
X
O
Board 102021
X
O
O
X
Board 102100
X
O
X
Board 102102
X
O
X
O
Board 102112
X
O
X
X
O
Board 102120
X
O
X
O
Board 102121
X
O
X
O
X
Board 102201
X
O
O
X
Board 102210
X
O
O
X
Board 102211
X
O
O
X
X
Board 110002
X
X
O
Board 110020
X
X
O
Board 110022
X
X
O
O
Board 110122
X
X
X
O
O
Board 110200
X
X
O
Board 110202
X
X
O
O
Board 110212
X
X
O
X
O
Board 110220
X
X
O
O
Board 110221
X
X
O
O
X
Board 111022
X
X
X
O
O
Board 111202
X
X
X
O
O
Board 111220
X
X
X
O
O
Board 112000
X
X
O
Board 112002
X
X
O
O
Board 112012
X
X
O
X
O
Board 112020
X
X
O
O
Board 112021
X
X
O
O
X
Board 112102
X
X
O
X
O
Board 112120
X
X
O
X
O
Board 112122
X
X
O
X
O
O
Board 112200
X
X
O
O
Board 112201
X
X
O
O
X
Board 112210
X
X
O
O
X
Board 112212
X
X
O
O
X
O
Board 112221
X
X
O
O
O
X
Board 120000
X
O
Board 120001
X
O
X
Board 120010
X
O
X
Board 120012
X
O
X
O
Board 120021
X
O
O
X
Board 120100
X
O
X
Board 120102
X
O
X
O
Board 120112
X
O
X
X
O
Board 120120
X
O
X
O
Board 120121
X
O
X
O
X
Board 120201
X
O
O
X
Board 120210
X
O
O
X
Board 120211
X
O
O
X
X
Board 121000
X
O
X
Board 121002
X
O
X
O
Board 121012
X
O
X
X
O
Board 121020
X
O
X
O
Board 121021
X
O
X
O
X
Board 121102
X
O
X
X
O
Board 121120
X
O
X
X
O
Board 121122
X
O
X
X
O
O
Board 121200
X
O
X
O
Board 121201
X
O
X
O
X
Board 121210
X
O
X
O
X
Board 121212
X
O
X
O
X
O
Board 121221
X
O
X
O
O
X
Board 122001
X
O
O
X
Board 122010
X
O
O
X
Board 122011
X
O
O
X
X
Board 122100
X
O
O
X
Board 122101
X
O
O
X
X
Board 122110
X
O
O
X
X
Board 122112
X
O
O
X
X
O
Board 122121
X
O
O
X
O
X
Board 122211
X
O
O
O
X
X
Board 200001
O
X
Board 200010
O
X
Board 200011
O
X
X
Board 200100
O
X
Board 200101
O
X
X
Board 200110
O
X
X
Board 200112
O
X
X
O
Board 200121
O
X
O
X
Board 200211
O
O
X
X
Board 201000
O
X
Board 201001
O
X
X
Board 201010
O
X
X
Board 201012
O
X
X
O
Board 201021
O
X
O
X
Board 201100
O
X
X
Board 201102
O
X
X
O
Board 201112
O
X
X
X
O
Board 201120
O
X
X
O
Board 201121
O
X
X
O
X
Board 201201
O
X
O
X
Board 201210
O
X
O
X
Board 201211
O
X
O
X
X
Board 202011
O
O
X
X
Board 202101
O
O
X
X
Board 202110
O
O
X
X
Board 202111
O
O
X
X
X
Board 210000
O
X
Board 210001
O
X
X
Board 210010
O
X
X
Board 210012
O
X
X
O
Board 210021
O
X
O
X
Board 210100
O
X
X
Board 210102
O
X
X
O
Board 210112
O
X
X
X
O
Board 210120
O
X
X
O
Board 210121
O
X
X
O
X
Board 210201
O
X
O
X
Board 210210
O
X
O
X
Board 210211
O
X
O
X
X
Board 211000
O
X
X
Board 211002
O
X
X
O
Board 211012
O
X
X
X
O
Board 211020
O
X
X
O
Board 211021
O
X
X
O
X
Board 211102
O
X
X
X
O
Board 211120
O
X
X
X
O
Board 211122
O
X
X
X
O
O
Board 211200
O
X
X
O
Board 211201
O
X
X
O
X
Board 211210
O
X
X
O
X
Board 211212
O
X
X
O
X
O
Board 211221
O
X
X
O
O
X
Board 212001
O
X
O
X
Board 212010
O
X
O
X
Board 212011
O
X
O
X
X
Board 212100
O
X
O
X
Board 212101
O
X
O
X
X
Board 212110
O
X
O
X
X
Board 212112
O
X
O
X
X
O
Board 212121
O
X
O
X
O
X
Board 212211
O
X
O
O
X
X
Board 220011
O
O
X
X
Board 220101
O
O
X
X
Board 220110
O
O
X
X
Board 220111
O
O
X
X
X
Board 221001
O
O
X
X
Board 221010
O
O
X
X
Board 221011
O
O
X
X
X
Board 221100
O
O
X
X
Board 221101
O
O
X
X
X
Board 221110
O
O
X
X
X
Board 221112
O
O
X
X
X
O
Board 221121
O
O
X
X
O
X
Board 221211
O
O
X
O
X
X
Board 1000000
X
Board 1000002
X
O
Board 1000012
X
X
O
Board 1000020
X
O
Board 1000021
X
O
X
Board 1000102
X
X
O
Board 1000120
X
X
O
Board 1000122
X
X
O
O
Board 1000200
X
O
Board 1000201
X
O
X
Board 1000210
X
O
X
Board 1000212
X
O
X
O
Board 1000221
X
O
O
X
Board 1001002
X
X
O
Board 1001020
X
X
O
Board 1001022
X
X
O
O
Board 1001122
X
X
X
O
O
Board 1001200
X
X
O
Board 1001202
X
X
O
O
Board 1001212
X
X
O
X
O
Board 1001220
X
X
O
O
Board 1001221
X
X
O
O
X
Board 1002000
X
O
Board 1002001
X
O
X
Board 1002010
X
O
X
Board 1002012
X
O
X
O
Board 1002021
X
O
O
X
Board 1002100
X
O
X
Board 1002102
X
O
X
O
Board 1002112
X
O
X
X
O
Board 1002120
X
O
X
O
Board 1002121
X
O
X
O
X
Board 1002201
X
O
O
X
Board 1002210
X
O
O
X
Board 1002211
X
O
O
X
X
Board 1010002
X
X
O
Board 1010020
X
X
O
Board 1010022
X
X
O
O
Board 1010122
X
X
X
O
O
Board 1010200
X
X
O
Board 1010202
X
X
O
O
Board 1010212
X
X
O
X
O
Board 1010220
X
X
O
O
Board 1010221
X
X
O
O
X
Board 1011022
X
X
X
O
O
Board 1011202
X
X
X
O
O
Board 1011220
X
X
X
O
O
Board 1011222
X
X
X
O
O
O
Board 1012000
X
X
O
Board 1012002
X
X
O
O
Board 1012012
X
X
O
X
O
Board 1012020
X
X
O
O
Board 1012021
X
X
O
O
X
Board 1012102
X
X
O
X
O
Board 1012120
X
X
O
X
O
Board 1012200
X
X
O
O
Board 1012201
X
X
O
O
X
Board 1012210
X
X
O
O
X
Board 1012212
X
X
O
O
X
O
Board 1012221
X
X
O
O
O
X
Board 1020000
X
O
Board 1020001
X
O
X
Board 1020010
X
O
X
Board 1020012
X
O
X
O
Board 1020021
X
O
O
X
Board 1020100
X
O
X
Board 1020102
X
O
X
O
Board 1020112
X
O
X
X
O
Board 1020120
X
O
X
O
Board 1020121
X
O
X
O
X
Board 1020201
X
O
O
X
Board 1020210
X
O
O
X
Board 1020211
X
O
O
X
X
Board 1021000
X
O
X
Board 1021002
X
O
X
O
Board 1021012
X
O
X
X
O
Board 1021020
X
O
X
O
Board 1021021
X
O
X
O
X
Board 1021102
X
O
X
X
O
Board 1021120
X
O
X
X
O
Board 1021122
X
O
X
X
O
O
Board 1021200
X
O
X
O
Board 1021201
X
O
X
O
X
Board 1021210
X
O
X
O
X
Board 1021212
X
O
X
O
X
O
Board 1022001
X
O
O
X
Board 1022010
X
O
O
X
Board 1022011
X
O
O
X
X
Board 1022100
X
O
O
X
Board 1022101
X
O
O
X
X
Board 1022110
X
O
O
X
X
Board 1022112
X
O
O
X
X
O
Board 1022121
X
O
O
X
O
X
Board 1022211
X
O
O
O
X
X
Board 1100002
X
X
O
Board 1100020
X
X
O
Board 1100022
X
X
O
O
Board 1100122
X
X
X
O
O
Board 1100200
X
X
O
Board 1100202
X
X
O
O
Board 1100212
X
X
O
X
O
Board 1100220
X
X
O
O
Board 1100221
X
X
O
O
X
Board 1101022
X
X
X
O
O
Board 1101202
X
X
X
O
O
Board 1101220
X
X
X
O
O
Board 1101222
X
X
X
O
O
O
Board 1102000
X
X
O
Board 1102002
X
X
O
O
Board 1102012
X
X
O
X
O
Board 1102020
X
X
O
O
Board 1102021
X
X
O
O
X
Board 1102102
X
X
O
X
O
Board 1102120
X
X
O
X
O
Board 1102122
X
X
O
X
O
O
Board 1102200
X
X
O
O
Board 1102201
X
X
O
O
X
Board 1102210
X
X
O
O
X
Board 1102212
X
X
O
O
X
O
Board 1102221
X
X
O
O
O
X
Board 1110022
X
X
X
O
O
Board 1110202
X
X
X
O
O
Board 1110220
X
X
X
O
O
Board 1110222
X
X
X
O
O
O
Board 1112002
X
X
X
O
O
Board 1112020
X
X
X
O
O
Board 1112022
X
X
X
O
O
O
Board 1112122
X
X
X
O
X
O
O
Board 1112200
X
X
X
O
O
Board 1112202
X
X
X
O
O
O
Board 1112212
X
X
X
O
O
X
O
Board 1112220
X
X
X
O
O
O
Board 1112221
X
X
X
O
O
O
X
Board 1120000
X
X
O
Board 1120002
X
X
O
O
Board 1120012
X
X
O
X
O
Board 1120020
X
X
O
O
Board 1120021
X
X
O
O
X
Board 1120102
X
X
O
X
O
Board 1120120
X
X
O
X
O
Board 1120122
X
X
O
X
O
O
Board 1120200
X
X
O
O
Board 1120201
X
X
O
O
X
Board 1120210
X
X
O
O
X
Board 1120212
X
X
O
O
X
O
Board 1120221
X
X
O
O
O
X
Board 1121002
X
X
O
X
O
Board 1121020
X
X
O
X
O
Board 1121022
X
X
O
X
O
O
Board 1121122
X
X
O
X
X
O
O
Board 1121200
X
X
O
X
O
Board 1121202
X
X
O
X
O
O
Board 1121212
X
X
O
X
O
X
O
Board 1121220
X
X
O
X
O
O
Board 1121221
X
X
O
X
O
O
X
Board 1122000
X
X
O
O
Board 1122001
X
X
O
O
X
Board 1122010
X
X
O
O
X
Board 1122012
X
X
O
O
X
O
Board 1122021
X
X
O
O
O
X
Board 1122100
X
X
O
O
X
Board 1122102
X
X
O
O
X
O
Board 1122112
X
X
O
O
X
X
O
Board 1122120
X
X
O
O
X
O
Board 1122121
X
X
O
O
X
O
X
Board 1122201
X
X
O
O
O
X
Board 1122210
X
X
O
O
O
X
Board 1122211
X
X
O
O
O
X
X
Board 1200000
X
O
Board 1200001
X
O
X
Board 1200010
X
O
X
Board 1200012
X
O
X
O
Board 1200021
X
O
O
X
Board 1200100
X
O
X
Board 1200102
X
O
X
O
Board 1200112
X
O
X
X
O
Board 1200120
X
O
X
O
Board 1200121
X
O
X
O
X
Board 1200201
X
O
O
X
Board 1200210
X
O
O
X
Board 1200211
X
O
O
X
X
Board 1201000
X
O
X
Board 1201002
X
O
X
O
Board 1201012
X
O
X
X
O
Board 1201020
X
O
X
O
Board 1201021
X
O
X
O
X
Board 1201102
X
O
X
X
O
Board 1201120
X
O
X
X
O
Board 1201122
X
O
X
X
O
O
Board 1201200
X
O
X
O
Board 1201201
X
O
X
O
X
Board 1201210
X
O
X
O
X
Board 1201212
X
O
X
O
X
O
Board 1202001
X
O
O
X
Board 1202010
X
O
O
X
Board 1202011
X
O
O
X
X
Board 1202100
X
O
O
X
Board 1202101
X
O
O
X
X
Board 1202110
X
O
O
X
X
Board 1202112
X
O
O
X
X
O
Board 1202121
X
O
O
X
O
X
Board 1202211
X
O
O
O
X
X
Board 1210000
X
O
X
Board 1210002
X
O
X
O
Board 1210012
X
O
X
X
O
Board 1210020
X
O
X
O
Board 1210021
X
O
X
O
X
Board 1210102
X
O
X
X
O
Board 1210120
X
O
X
X
O
Board 1210200
X
O
X
O
Board 1210201
X
O
X
O
X
Board 1210210
X
O
X
O
X
Board 1210212
X
O
X
O
X
O
Board 1210221
X
O
X
O
O
X
Board 1211002
X
O
X
X
O
Board 1211020
X
O
X
X
O
Board 1211022
X
O
X
X
O
O
Board 1211122
X
O
X
X
X
O
O
Board 1211200
X
O
X
X
O
Board 1211202
X
O
X
X
O
O
Board 1211212
X
O
X
X
O
X
O
Board 1211220
X
O
X
X
O
O
Board 1211221
X
O
X
X
O
O
X
Board 1212000
X
O
X
O
Board 1212001
X
O
X
O
X
Board 1212010
X
O
X
O
X
Board 1212012
X
O
X
O
X
O
Board 1212021
X
O
X
O
O
X
Board 1212100
X
O
X
O
X
Board 1212112
X
O
X
O
X
X
O
Board 1212121
X
O
X
O
X
O
X
Board 1212201
X
O
X
O
O
X
Board 1212210
X
O
X
O
O
X
Board 1212211
X
O
X
O
O
X
X
Board 1220001
X
O
O
X
Board 1220010
X
O
O
X
Board 1220011
X
O
O
X
X
Board 1220100
X
O
O
X
Board 1220101
X
O
O
X
X
Board 1220110
X
O
O
X
X
Board 1220112
X
O
O
X
X
O
Board 1220121
X
O
O
X
O
X
Board 1220211
X
O
O
O
X
X
Board 1221000
X
O
O
X
Board 1221001
X
O
O
X
X
Board 1221010
X
O
O
X
X
Board 1221012
X
O
O
X
X
O
Board 1221100
X
O
O
X
X
Board 1221102
X
O
O
X
X
O
Board 1221112
X
O
O
X
X
X
O
Board 1221120
X
O
O
X
X
O
Board 1221121
X
O
O
X
X
O
X
Board 1221210
X
O
O
X
O
X
Board 1221211
X
O
O
X
O
X
X
Board 1222011
X
O
O
O
X
X
Board 1222101
X
O
O
O
X
X
Board 1222110
X
O
O
O
X
X
Board 2000001
O
X
Board 2000010
O
X
Board 2000011
O
X
X
Board 2000100
O
X
Board 2000101
O
X
X
Board 2000110
O
X
X
Board 2000112
O
X
X
O
Board 2000121
O
X
O
X
Board 2000211
O
O
X
X
Board 2001000
O
X
Board 2001001
O
X
X
Board 2001010
O
X
X
Board 2001012
O
X
X
O
Board 2001021
O
X
O
X
Board 2001100
O
X
X
Board 2001102
O
X
X
O
Board 2001112
O
X
X
X
O
Board 2001120
O
X
X
O
Board 2001121
O
X
X
O
X
Board 2001201
O
X
O
X
Board 2001210
O
X
O
X
Board 2001211
O
X
O
X
X
Board 2002011
O
O
X
X
Board 2002101
O
O
X
X
Board 2002110
O
O
X
X
Board 2002111
O
O
X
X
X
Board 2010000
O
X
Board 2010001
O
X
X
Board 2010010
O
X
X
Board 2010012
O
X
X
O
Board 2010021
O
X
O
X
Board 2010100
O
X
X
Board 2010102
O
X
X
O
Board 2010112
O
X
X
X
O
Board 2010120
O
X
X
O
Board 2010121
O
X
X
O
X
Board 2010201
O
X
O
X
Board 2010210
O
X
O
X
Board 2010211
O
X
O
X
X
Board 2011000
O
X
X
Board 2011002
O
X
X
O
Board 2011012
O
X
X
X
O
Board 2011020
O
X
X
O
Board 2011021
O
X
X
O
X
Board 2011102
O
X
X
X
O
Board 2011120
O
X
X
X
O
Board 2011122
O
X
X
X
O
O
Board 2011200
O
X
X
O
Board 2011201
O
X
X
O
X
Board 2011210
O
X
X
O
X
Board 2011212
O
X
X
O
X
O
Board 2011221
O
X
X
O
O
X
Board 2012001
O
X
O
X
Board 2012010
O
X
O
X
Board 2012011
O
X
O
X
X
Board 2012100
O
X
O
X
Board 2012101
O
X
O
X
X
Board 2012110
O
X
O
X
X
Board 2012112
O
X
O
X
X
O
Board 2012121
O
X
O
X
O
X
Board 2012211
O
X
O
O
X
X
Board 2020011
O
O
X
X
Board 2020101
O
O
X
X
Board 2020110
O
O
X
X
Board 2020111
O
O
X
X
X
Board 2021001
O
O
X
X
Board 2021010
O
O
X
X
Board 2021011
O
O
X
X
X
Board 2021100
O
O
X
X
Board 2021101
O
O
X
X
X
Board 2021110
O
O
X
X
X
Board 2021112
O
O
X
X
X
O
Board 2021121
O
O
X
X
O
X
Board 2021211
O
O
X
O
X
X
Board 2100000
O
X
Board 2100001
O
X
X
Board 2100010
O
X
X
Board 2100012
O
X
X
O
Board 2100021
O
X
O
X
Board 2100100
O
X
X
Board 2100102
O
X
X
O
Board 2100112
O
X
X
X
O
Board 2100120
O
X
X
O
Board 2100121
O
X
X
O
X
Board 2100201
O
X
O
X
Board 2100210
O
X
O
X
Board 2100211
O
X
O
X
X
Board 2101000
O
X
X
Board 2101002
O
X
X
O
Board 2101012
O
X
X
X
O
Board 2101020
O
X
X
O
Board 2101021
O
X
X
O
X
Board 2101102
O
X
X
X
O
Board 2101120
O
X
X
X
O
Board 2101122
O
X
X
X
O
O
Board 2101200
O
X
X
O
Board 2101201
O
X
X
O
X
Board 2101210
O
X
X
O
X
Board 2101212
O
X
X
O
X
O
Board 2101221
O
X
X
O
O
X
Board 2102001
O
X
O
X
Board 2102010
O
X
O
X
Board 2102011
O
X
O
X
X
Board 2102100
O
X
O
X
Board 2102101
O
X
O
X
X
Board 2102110
O
X
O
X
X
Board 2102112
O
X
O
X
X
O
Board 2102121
O
X
O
X
O
X
Board 2102211
O
X
O
O
X
X
Board 2110000
O
X
X
Board 2110002
O
X
X
O
Board 2110012
O
X
X
X
O
Board 2110020
O
X
X
O
Board 2110021
O
X
X
O
X
Board 2110102
O
X
X
X
O
Board 2110120
O
X
X
X
O
Board 2110122
O
X
X
X
O
O
Board 2110200
O
X
X
O
Board 2110201
O
X
X
O
X
Board 2110210
O
X
X
O
X
Board 2110212
O
X
X
O
X
O
Board 2110221
O
X
X
O
O
X
Board 2111002
O
X
X
X
O
Board 2111020
O
X
X
X
O
Board 2111122
O
X
X
X
X
O
O
Board 2111200
O
X
X
X
O
Board 2111212
O
X
X
X
O
X
O
Board 2111221
O
X
X
X
O
O
X
Board 2112000
O
X
X
O
Board 2112001
O
X
X
O
X
Board 2112010
O
X
X
O
X
Board 2112012
O
X
X
O
X
O
Board 2112021
O
X
X
O
O
X
Board 2112100
O
X
X
O
X
Board 2112102
O
X
X
O
X
O
Board 2112120
O
X
X
O
X
O
Board 2112121
O
X
X
O
X
O
X
Board 2112201
O
X
X
O
O
X
Board 2112210
O
X
X
O
O
X
Board 2112211
O
X
X
O
O
X
X
Board 2120001
O
X
O
X
Board 2120010
O
X
O
X
Board 2120011
O
X
O
X
X
Board 2120100
O
X
O
X
Board 2120101
O
X
O
X
X
Board 2120110
O
X
O
X
X
Board 2120112
O
X
O
X
X
O
Board 2120121
O
X
O
X
O
X
Board 2120211
O
X
O
O
X
X
Board 2121000
O
X
O
X
Board 2121001
O
X
O
X
X
Board 2121010
O
X
O
X
X
Board 2121012
O
X
O
X
X
O
Board 2121021
O
X
O
X
O
X
Board 2121100
O
X
O
X
X
Board 2121102
O
X
O
X
X
O
Board 2121112
O
X
O
X
X
X
O
Board 2121120
O
X
O
X
X
O
Board 2121121
O
X
O
X
X
O
X
Board 2121201
O
X
O
X
O
X
Board 2121210
O
X
O
X
O
X
Board 2122011
O
X
O
O
X
X
Board 2122101
O
X
O
O
X
X
Board 2122110
O
X
O
O
X
X
Board 2122111
O
X
O
O
X
X
X
Board 2200011
O
O
X
X
Board 2200101
O
O
X
X
Board 2200110
O
O
X
X
Board 2200111
O
O
X
X
X
Board 2201001
O
O
X
X
Board 2201010
O
O
X
X
Board 2201011
O
O
X
X
X
Board 2201100
O
O
X
X
Board 2201101
O
O
X
X
X
Board 2201110
O
O
X
X
X
Board 2201112
O
O
X
X
X
O
Board 2201121
O
O
X
X
O
X
Board 2201211
O
O
X
O
X
X
Board 2210001
O
O
X
X
Board 2210010
O
O
X
X
Board 2210011
O
O
X
X
X
Board 2210100
O
O
X
X
Board 2210101
O
O
X
X
X
Board 2210110
O
O
X
X
X
Board 2210112
O
O
X
X
X
O
Board 2210121
O
O
X
X
O
X
Board 2210211
O
O
X
O
X
X
Board 2211000
O
O
X
X
Board 2211001
O
O
X
X
X
Board 2211010
O
O
X
X
X
Board 2211012
O
O
X
X
X
O
Board 2211021
O
O
X
X
O
X
Board 2211100
O
O
X
X
X
Board 2211102
O
O
X
X
X
O
Board 2211112
O
O
X
X
X
X
O
Board 2211120
O
O
X
X
X
O
Board 2211121
O
O
X
X
X
O
X
Board 2211201
O
O
X
X
O
X
Board 2211210
O
O
X
X
O
X
Board 2211211
O
O
X
X
O
X
X
Board 2212011
O
O
X
O
X
X
Board 2212101
O
O
X
O
X
X
Board 2212110
O
O
X
O
X
X
Board 2212111
O
O
X
O
X
X
X
Board 2221011
O
O
O
X
X
X
Board 2221101
O
O
O
X
X
X
Board 2221110
O
O
O
X
X
X
Board 2221111
O
O
O
X
X
X
X
Board 10000000
X
Board 10000002
X
O
Board 10000012
X
X
O
Board 10000020
X
O
Board 10000021
X
O
X
Board 10000102
X
X
O
Board 10000120
X
X
O
Board 10000122
X
X
O
O
Board 10000200
X
O
Board 10000201
X
O
X
Board 10000210
X
O
X
Board 10000212
X
O
X
O
Board 10000221
X
O
O
X
Board 10001002
X
X
O
Board 10001020
X
X
O
Board 10001022
X
X
O
O
Board 10001122
X
X
X
O
O
Board 10001200
X
X
O
Board 10001202
X
X
O
O
Board 10001212
X
X
O
X
O
Board 10001220
X
X
O
O
Board 10001221
X
X
O
O
X
Board 10002000
X
O
Board 10002001
X
O
X
Board 10002010
X
O
X
Board 10002012
X
O
X
O
Board 10002021
X
O
O
X
Board 10002100
X
O
X
Board 10002102
X
O
X
O
Board 10002112
X
O
X
X
O
Board 10002120
X
O
X
O
Board 10002121
X
O
X
O
X
Board 10002201
X
O
O
X
Board 10002210
X
O
O
X
Board 10002211
X
O
O
X
X
Board 10010002
X
X
O
Board 10010020
X
X
O
Board 10010022
X
X
O
O
Board 10010122
X
X
X
O
O
Board 10010200
X
X
O
Board 10010202
X
X
O
O
Board 10010212
X
X
O
X
O
Board 10010220
X
X
O
O
Board 10010221
X
X
O
O
X
Board 10011022
X
X
X
O
O
Board 10011202
X
X
X
O
O
Board 10011220
X
X
X
O
O
Board 10011222
X
X
X
O
O
O
Board 10012000
X
X
O
Board 10012002
X
X
O
O
Board 10012012
X
X
O
X
O
Board 10012020
X
X
O
O
Board 10012021
X
X
O
O
X
Board 10012102
X
X
O
X
O
Board 10012120
X
X
O
X
O
Board 10012122
X
X
O
X
O
O
Board 10012200
X
X
O
O
Board 10012201
X
X
O
O
X
Board 10012210
X
X
O
O
X
Board 10012221
X
X
O
O
O
X
Board 10020000
X
O
Board 10020001
X
O
X
Board 10020010
X
O
X
Board 10020012
X
O
X
O
Board 10020021
X
O
O
X
Board 10020100
X
O
X
Board 10020102
X
O
X
O
Board 10020112
X
O
X
X
O
Board 10020120
X
O
X
O
Board 10020121
X
O
X
O
X
Board 10020201
X
O
O
X
Board 10020210
X
O
O
X
Board 10020211
X
O
O
X
X
Board 10021000
X
O
X
Board 10021002
X
O
X
O
Board 10021012
X
O
X
X
O
Board 10021020
X
O
X
O
Board 10021021
X
O
X
O
X
Board 10021102
X
O
X
X
O
Board 10021120
X
O
X
X
O
Board 10021122
X
O
X
X
O
O
Board 10021200
X
O
X
O
Board 10021201
X
O
X
O
X
Board 10021210
X
O
X
O
X
Board 10021212
X