This file contains "Williams designs", for experiments involving 2 to 26 treatments. A Williams design is a (generalized) latin square that is also balanced for first order carryover effects. Carryover balance is achieved with very few subjects. Williams row-column designs are used if each of the treatments in the study is given to each of the subjects. If the number of treatments to be tested is even, the design is a latin square, otherwise it consists of two latin squares.
In the experimental design tables shown below, the rows correspond to subjects, the columns correspond to treatment periods, and the number (or letter) in the cell indicates which treatment that subject gets during that period. Each table (or pair of tables) is shown in two forms -- one in which the treatments are identified by letter (A, B, C, etc.), and one in which they are identified numerically (1, 2, 3, etc.).
These designs were calculated by the "williams" program in the "crossdes" package, which runs under the "R" programming system (http://R-Project.org). The program was written by Oliver Sailer sailer@statistik.uni-dortmund.de
These tables can also be downloaded as a text file or an Excel spreadsheet.
Reference: Williams, E. J. (1949): Experimental designs balanced for the estimation of residual effects of treatments. Australian Journal of Scientific Research, Ser. A 2, 149-168.
Size = 2 A B B A 1 2 2 1 Size = 3 A B C B C A C A B C B A A C B B A C 1 2 3 2 3 1 3 1 2 3 2 1 1 3 2 2 1 3 Size = 4 A B D C B C A D C D B A D A C B 1 2 4 3 2 3 1 4 3 4 2 1 4 1 3 2 Size = 5 A B E C D B C A D E C D B E A D E C A B E A D B C D C E B A E D A C B A E B D C B A C E D C B D A E 1 2 5 3 4 2 3 1 4 5 3 4 2 5 1 4 5 3 1 2 5 1 4 2 3 4 3 5 2 1 5 4 1 3 2 1 5 2 4 3 2 1 3 5 4 3 2 4 1 5 Size = 6 A B F C E D B C A D F E C D B E A F D E C F B A E F D A C B F A E B D C 1 2 6 3 5 4 2 3 1 4 6 5 3 4 2 5 1 6 4 5 3 6 2 1 5 6 4 1 3 2 6 1 5 2 4 3 Size = 7 A B G C F D E B C A D G E F C D B E A F G D E C F B G A E F D G C A B F G E A D B C G A F B E C D E D F C G B A F E G D A C B G F A E B D C A G B F C E D B A C G D F E C B D A E G F D C E B F A G 1 2 7 3 6 4 5 2 3 1 4 7 5 6 3 4 2 5 1 6 7 4 5 3 6 2 7 1 5 6 4 7 3 1 2 6 7 5 1 4 2 3 7 1 6 2 5 3 4 5 4 6 3 7 2 1 6 5 7 4 1 3 2 7 6 1 5 2 4 3 1 7 2 6 3 5 4 2 1 3 7 4 6 5 3 2 4 1 5 7 6 4 3 5 2 6 1 7 Size = 8 A B H C G D F E B C A D H E G F C D B E A F H G D E C F B G A H E F D G C H B A F G E H D A C B G H F A E B D C H A G B F C E D 1 2 8 3 7 4 6 5 2 3 1 4 8 5 7 6 3 4 2 5 1 6 8 7 4 5 3 6 2 7 1 8 5 6 4 7 3 8 2 1 6 7 5 8 4 1 3 2 7 8 6 1 5 2 4 3 8 1 7 2 6 3 5 4 Size = 9 A B I C H D G E F B C A D I E H F G C D B E A F I G H D E C F B G A H I E F D G C H B I A F G E H D I C A B G H F I E A D B C H I G A F B E C D I A H B G C F D E F E G D H C I B A G F H E I D A C B H G I F A E B D C I H A G B F C E D A I B H C G D F E B A C I D H E G F C B D A E I F H G D C E B F A G I H E D F C G B H A I 1 2 9 3 8 4 7 5 6 2 3 1 4 9 5 8 6 7 3 4 2 5 1 6 9 7 8 4 5 3 6 2 7 1 8 9 5 6 4 7 3 8 2 9 1 6 7 5 8 4 9 3 1 2 7 8 6 9 5 1 4 2 3 8 9 7 1 6 2 5 3 4 9 1 8 2 7 3 6 4 5 6 5 7 4 8 3 9 2 1 7 6 8 5 9 4 1 3 2 8 7 9 6 1 5 2 4 3 9 8 1 7 2 6 3 5 4 1 9 2 8 3 7 4 6 5 2 1 3 9 4 8 5 7 6 3 2 4 1 5 9 6 8 7 4 3 5 2 6 1 7 9 8 5 4 6 3 7 2 8 1 9 Size = 10 A B J C I D H E G F B C A D J E I F H G C D B E A F J G I H D E C F B G A H J I E F D G C H B I A J F G E H D I C J B A G H F I E J D A C B H I G J F A E B D C I J H A G B F C E D J A I B H C G D F E 1 2 10 3 9 4 8 5 7 6 2 3 1 4 10 5 9 6 8 7 3 4 2 5 1 6 10 7 9 8 4 5 3 6 2 7 1 8 10 9 5 6 4 7 3 8 2 9 1 10 6 7 5 8 4 9 3 10 2 1 7 8 6 9 5 10 4 1 3 2 8 9 7 10 6 1 5 2 4 3 9 10 8 1 7 2 6 3 5 4 10 1 9 2 8 3 7 4 6 5 Size = 11 A B K C J D I E H F G B C A D K E J F I G H C D B E A F K G J H I D E C F B G A H K I J E F D G C H B I A J K F G E H D I C J B K A G H F I E J D K C A B H I G J F K E A D B C I J H K G A F B E C D J K I A H B G C F D E K A J B I C H D G E F G F H E I D J C K B A H G I F J E K D A C B I H J G K F A E B D C J I K H A G B F C E D K J A I B H C G D F E A K B J C I D H E G F B A C K D J E I F H G C B D A E K F J G I H D C E B F A G K H J I E D F C G B H A I K J F E G D H C I B J A K 1 2 11 3 10 4 9 5 8 6 7 2 3 1 4 11 5 10 6 9 7 8 3 4 2 5 1 6 11 7 10 8 9 4 5 3 6 2 7 1 8 11 9 10 5 6 4 7 3 8 2 9 1 10 11 6 7 5 8 4 9 3 10 2 11 1 7 8 6 9 5 10 4 11 3 1 2 8 9 7 10 6 11 5 1 4 2 3 9 10 8 11 7 1 6 2 5 3 4 10 11 9 1 8 2 7 3 6 4 5 11 1 10 2 9 3 8 4 7 5 6 7 6 8 5 9 4 10 3 11 2 1 8 7 9 6 10 5 11 4 1 3 2 9 8 10 7 11 6 1 5 2 4 3 10 9 11 8 1 7 2 6 3 5 4 11 10 1 9 2 8 3 7 4 6 5 1 11 2 10 3 9 4 8 5 7 6 2 1 3 11 4 10 5 9 6 8 7 3 2 4 1 5 11 6 10 7 9 8 4 3 5 2 6 1 7 11 8 10 9 5 4 6 3 7 2 8 1 9 11 10 6 5 7 4 8 3 9 2 10 1 11 Size = 12 A B L C K D J E I F H G B C A D L E K F J G I H C D B E A F L G K H J I D E C F B G A H L I K J E F D G C H B I A J L K F G E H D I C J B K A L G H F I E J D K C L B A H I G J F K E L D A C B I J H K G L F A E B D C J K I L H A G B F C E D K L J A I B H C G D F E L A K B J C I D H E G F 1 2 12 3 11 4 10 5 9 6 8 7 2 3 1 4 12 5 11 6 10 7 9 8 3 4 2 5 1 6 12 7 11 8 10 9 4 5 3 6 2 7 1 8 12 9 11 10 5 6 4 7 3 8 2 9 1 10 12 11 6 7 5 8 4 9 3 10 2 11 1 12 7 8 6 9 5 10 4 11 3 12 2 1 8 9 7 10 6 11 5 12 4 1 3 2 9 10 8 11 7 12 6 1 5 2 4 3 10 11 9 12 8 1 7 2 6 3 5 4 11 12 10 1 9 2 8 3 7 4 6 5 12 1 11 2 10 3 9 4 8 5 7 6 Size = 13 A B M C L D K E J F I G H B C A D M E L F K G J H I C D B E A F M G L H K I J D E C F B G A H M I L J K E F D G C H B I A J M K L F G E H D I C J B K A L M G H F I E J D K C L B M A H I G J F K E L D M C A B I J H K G L F M E A D B C J K I L H M G A F B E C D K L J M I A H B G C F D E L M K A J B I C H D G E F M A L B K C J D I E H F G H G I F J E K D L C M B A I H J G K F L E M D A C B J I K H L G M F A E B D C K J L I M H A G B F C E D L K M J A I B H C G D F E M L A K B J C I D H E G F A M B L C K D J E I F H G B A C M D L E K F J G I H C B D A E M F L G K H J I D C E B F A G M H L I K J E D F C G B H A I M J L K F E G D H C I B J A K M L G F H E I D J C K B L A M 1 2 13 3 12 4 11 5 10 6 9 7 8 2 3 1 4 13 5 12 6 11 7 10 8 9 3 4 2 5 1 6 13 7 12 8 11 9 10 4 5 3 6 2 7 1 8 13 9 12 10 11 5 6 4 7 3 8 2 9 1 10 13 11 12 6 7 5 8 4 9 3 10 2 11 1 12 13 7 8 6 9 5 10 4 11 3 12 2 13 1 8 9 7 10 6 11 5 12 4 13 3 1 2 9 10 8 11 7 12 6 13 5 1 4 2 3 10 11 9 12 8 13 7 1 6 2 5 3 4 11 12 10 13 9 1 8 2 7 3 6 4 5 12 13 11 1 10 2 9 3 8 4 7 5 6 13 1 12 2 11 3 10 4 9 5 8 6 7 8 7 9 6 10 5 11 4 12 3 13 2 1 9 8 10 7 11 6 12 5 13 4 1 3 2 10 9 11 8 12 7 13 6 1 5 2 4 3 11 10 12 9 13 8 1 7 2 6 3 5 4 12 11 13 10 1 9 2 8 3 7 4 6 5 13 12 1 11 2 10 3 9 4 8 5 7 6 1 13 2 12 3 11 4 10 5 9 6 8 7 2 1 3 13 4 12 5 11 6 10 7 9 8 3 2 4 1 5 13 6 12 7 11 8 10 9 4 3 5 2 6 1 7 13 8 12 9 11 10 5 4 6 3 7 2 8 1 9 13 10 12 11 6 5 7 4 8 3 9 2 10 1 11 13 12 7 6 8 5 9 4 10 3 11 2 12 1 13 Size = 14 A B N C M D L E K F J G I H B C A D N E M F L G K H J I C D B E A F N G M H L I K J D E C F B G A H N I M J L K E F D G C H B I A J N K M L F G E H D I C J B K A L N M G H F I E J D K C L B M A N H I G J F K E L D M C N B A I J H K G L F M E N D A C B J K I L H M G N F A E B D C K L J M I N H A G B F C E D L M K N J A I B H C G D F E M N L A K B J C I D H E G F N A M B L C K D J E I F H G 1 2 14 3 13 4 12 5 11 6 10 7 9 8 2 3 1 4 14 5 13 6 12 7 11 8 10 9 3 4 2 5 1 6 14 7 13 8 12 9 11 10 4 5 3 6 2 7 1 8 14 9 13 10 12 11 5 6 4 7 3 8 2 9 1 10 14 11 13 12 6 7 5 8 4 9 3 10 2 11 1 12 14 13 7 8 6 9 5 10 4 11 3 12 2 13 1 14 8 9 7 10 6 11 5 12 4 13 3 14 2 1 9 10 8 11 7 12 6 13 5 14 4 1 3 2 10 11 9 12 8 13 7 14 6 1 5 2 4 3 11 12 10 13 9 14 8 1 7 2 6 3 5 4 12 13 11 14 10 1 9 2 8 3 7 4 6 5 13 14 12 1 11 2 10 3 9 4 8 5 7 6 14 1 13 2 12 3 11 4 10 5 9 6 8 7 Size = 15 A B O C N D M E L F K G J H I B C A D O E N F M G L H K I J C D B E A F O G N H M I L J K D E C F B G A H O I N J M K L E F D G C H B I A J O K N L M F G E H D I C J B K A L O M N G H F I E J D K C L B M A N O H I G J F K E L D M C N B O A I J H K G L F M E N D O C A B J K I L H M G N F O E A D B C K L J M I N H O G A F B E C D L M K N J O I A H B G C F D E M N L O K A J B I C H D G E F N O M A L B K C J D I E H F G O A N B M C L D K E J F I G H I H J G K F L E M D N C O B A J I K H L G M F N E O D A C B K J L I M H N G O F A E B D C L K M J N I O H A G B F C E D M L N K O J A I B H C G D F E N M O L A K B J C I D H E G F O N A M B L C K D J E I F H G A O B N C M D L E K F J G I H B A C O D N E M F L G K H J I C B D A E O F N G M H L I K J D C E B F A G O H N I M J L K E D F C G B H A I O J N K M L F E G D H C I B J A K O L N M G F H E I D J C K B L A M O N H G I F J E K D L C M B N A O 1 2 15 3 14 4 13 5 12 6 11 7 10 8 9 2 3 1 4 15 5 14 6 13 7 12 8 11 9 10 3 4 2 5 1 6 15 7 14 8 13 9 12 10 11 4 5 3 6 2 7 1 8 15 9 14 10 13 11 12 5 6 4 7 3 8 2 9 1 10 15 11 14 12 13 6 7 5 8 4 9 3 10 2 11 1 12 15 13 14 7 8 6 9 5 10 4 11 3 12 2 13 1 14 15 8 9 7 10 6 11 5 12 4 13 3 14 2 15 1 9 10 8 11 7 12 6 13 5 14 4 15 3 1 2 10 11 9 12 8 13 7 14 6 15 5 1 4 2 3 11 12 10 13 9 14 8 15 7 1 6 2 5 3 4 12 13 11 14 10 15 9 1 8 2 7 3 6 4 5 13 14 12 15 11 1 10 2 9 3 8 4 7 5 6 14 15 13 1 12 2 11 3 10 4 9 5 8 6 7 15 1 14 2 13 3 12 4 11 5 10 6 9 7 8 9 8 10 7 11 6 12 5 13 4 14 3 15 2 1 10 9 11 8 12 7 13 6 14 5 15 4 1 3 2 11 10 12 9 13 8 14 7 15 6 1 5 2 4 3 12 11 13 10 14 9 15 8 1 7 2 6 3 5 4 13 12 14 11 15 10 1 9 2 8 3 7 4 6 5 14 13 15 12 1 11 2 10 3 9 4 8 5 7 6 15 14 1 13 2 12 3 11 4 10 5 9 6 8 7 1 15 2 14 3 13 4 12 5 11 6 10 7 9 8 2 1 3 15 4 14 5 13 6 12 7 11 8 10 9 3 2 4 1 5 15 6 14 7 13 8 12 9 11 10 4 3 5 2 6 1 7 15 8 14 9 13 10 12 11 5 4 6 3 7 2 8 1 9 15 10 14 11 13 12 6 5 7 4 8 3 9 2 10 1 11 15 12 14 13 7 6 8 5 9 4 10 3 11 2 12 1 13 15 14 8 7 9 6 10 5 11 4 12 3 13 2 14 1 15 Size = 16 A B P C O D N E M F L G K H J I B C A D P E O F N G M H L I K J C D B E A F P G O H N I M J L K D E C F B G A H P I O J N K M L E F D G C H B I A J P K O L N M F G E H D I C J B K A L P M O N G H F I E J D K C L B M A N P O H I G J F K E L D M C N B O A P I J H K G L F M E N D O C P B A J K I L H M G N F O E P D A C B K L J M I N H O G P F A E B D C L M K N J O I P H A G B F C E D M N L O K P J A I B H C G D F E N O M P L A K B J C I D H E G F O P N A M B L C K D J E I F H G P A O B N C M D L E K F J G I H 1 2 16 3 15 4 14 5 13 6 12 7 11 8 10 9 2 3 1 4 16 5 15 6 14 7 13 8 12 9 11 10 3 4 2 5 1 6 16 7 15 8 14 9 13 10 12 11 4 5 3 6 2 7 1 8 16 9 15 10 14 11 13 12 5 6 4 7 3 8 2 9 1 10 16 11 15 12 14 13 6 7 5 8 4 9 3 10 2 11 1 12 16 13 15 14 7 8 6 9 5 10 4 11 3 12 2 13 1 14 16 15 8 9 7 10 6 11 5 12 4 13 3 14 2 15 1 16 9 10 8 11 7 12 6 13 5 14 4 15 3 16 2 1 10 11 9 12 8 13 7 14 6 15 5 16 4 1 3 2 11 12 10 13 9 14 8 15 7 16 6 1 5 2 4 3 12 13 11 14 10 15 9 16 8 1 7 2 6 3 5 4 13 14 12 15 11 16 10 1 9 2 8 3 7 4 6 5 14 15 13 16 12 1 11 2 10 3 9 4 8 5 7 6 15 16 14 1 13 2 12 3 11 4 10 5 9 6 8 7 16 1 15 2 14 3 13 4 12 5 11 6 10 7 9 8 Size = 17 A B Q C P D O E N F M G L H K I J B C A D Q E P F O G N H M I L J K C D B E A F Q G P H O I N J M K L D E C F B G A H Q I P J O K N L M E F D G C H B I A J Q K P L O M N F G E H D I C J B K A L Q M P N O G H F I E J D K C L B M A N Q O P H I G J F K E L D M C N B O A P Q I J H K G L F M E N D O C P B Q A J K I L H M G N F O E P D Q C A B K L J M I N H O G P F Q E A D B C L M K N J O I P H Q G A F B E C D M N L O K P J Q I A H B G C F D E N O M P L Q K A J B I C H D G E F O P N Q M A L B K C J D I E H F G P Q O A N B M C L D K E J F I G H Q A P B O C N D M E L F K G J H I J I K H L G M F N E O D P C Q B A K J L I M H N G O F P E Q D A C B L K M J N I O H P G Q F A E B D C M L N K O J P I Q H A G B F C E D N M O L P K Q J A I B H C G D F E O N P M Q L A K B J C I D H E G F P O Q N A M B L C K D J E I F H G Q P A O B N C M D L E K F J G I H A Q B P C O D N E M F L G K H J I B A C Q D P E O F N G M H L I K J C B D A E Q F P G O H N I M J L K D C E B F A G Q H P I O J N K M L E D F C G B H A I Q J P K O L N M F E G D H C I B J A K Q L P M O N G F H E I D J C K B L A M Q N P O H G I F J E K D L C M B N A O Q P I H J G K F L E M D N C O B P A Q 1 2 17 3 16 4 15 5 14 6 13 7 12 8 11 9 10 2 3 1 4 17 5 16 6 15 7 14 8 13 9 12 10 11 3 4 2 5 1 6 17 7 16 8 15 9 14 10 13 11 12 4 5 3 6 2 7 1 8 17 9 16 10 15 11 14 12 13 5 6 4 7 3 8 2 9 1 10 17 11 16 12 15 13 14 6 7 5 8 4 9 3 10 2 11 1 12 17 13 16 14 15 7 8 6 9 5 10 4 11 3 12 2 13 1 14 17 15 16 8 9 7 10 6 11 5 12 4 13 3 14 2 15 1 16 17 9 10 8 11 7 12 6 13 5 14 4 15 3 16 2 17 1 10 11 9 12 8 13 7 14 6 15 5 16 4 17 3 1 2 11 12 10 13 9 14 8 15 7 16 6 17 5 1 4 2 3 12 13 11 14 10 15 9 16 8 17 7 1 6 2 5 3 4 13 14 12 15 11 16 10 17 9 1 8 2 7 3 6 4 5 14 15 13 16 12 17 11 1 10 2 9 3 8 4 7 5 6 15 16 14 17 13 1 12 2 11 3 10 4 9 5 8 6 7 16 17 15 1 14 2 13 3 12 4 11 5 10 6 9 7 8 17 1 16 2 15 3 14 4 13 5 12 6 11 7 10 8 9 10 9 11 8 12 7 13 6 14 5 15 4 16 3 17 2 1 11 10 12 9 13 8 14 7 15 6 16 5 17 4 1 3 2 12 11 13 10 14 9 15 8 16 7 17 6 1 5 2 4 3 13 12 14 11 15 10 16 9 17 8 1 7 2 6 3 5 4 14 13 15 12 16 11 17 10 1 9 2 8 3 7 4 6 5 15 14 16 13 17 12 1 11 2 10 3 9 4 8 5 7 6 16 15 17 14 1 13 2 12 3 11 4 10 5 9 6 8 7 17 16 1 15 2 14 3 13 4 12 5 11 6 10 7 9 8 1 17 2 16 3 15 4 14 5 13 6 12 7 11 8 10 9 2 1 3 17 4 16 5 15 6 14 7 13 8 12 9 11 10 3 2 4 1 5 17 6 16 7 15 8 14 9 13 10 12 11 4 3 5 2 6 1 7 17 8 16 9 15 10 14 11 13 12 5 4 6 3 7 2 8 1 9 17 10 16 11 15 12 14 13 6 5 7 4 8 3 9 2 10 1 11 17 12 16 13 15 14 7 6 8 5 9 4 10 3 11 2 12 1 13 17 14 16 15 8 7 9 6 10 5 11 4 12 3 13 2 14 1 15 17 16 9 8 10 7 11 6 12 5 13 4 14 3 15 2 16 1 17 Size = 18 A B R C Q D P E O F N G M H L I K J B C A D R E Q F P G O H N I M J L K C D B E A F R G Q H P I O J N K M L D E C F B G A H R I Q J P K O L N M E F D G C H B I A J R K Q L P M O N F G E H D I C J B K A L R M Q N P O G H F I E J D K C L B M A N R O Q P H I G J F K E L D M C N B O A P R Q I J H K G L F M E N D O C P B Q A R J K I L H M G N F O E P D Q C R B A K L J M I N H O G P F Q E R D A C B L M K N J O I P H Q G R F A E B D C M N L O K P J Q I R H A G B F C E D N O M P L Q K R J A I B H C G D F E O P N Q M R L A K B J C I D H E G F P Q O R N A M B L C K D J E I F H G Q R P A O B N C M D L E K F J G I H R A Q B P C O D N E M F L G K H J I 1 2 18 3 17 4 16 5 15 6 14 7 13 8 12 9 11 10 2 3 1 4 18 5 17 6 16 7 15 8 14 9 13 10 12 11 3 4 2 5 1 6 18 7 17 8 16 9 15 10 14 11 13 12 4 5 3 6 2 7 1 8 18 9 17 10 16 11 15 12 14 13 5 6 4 7 3 8 2 9 1 10 18 11 17 12 16 13 15 14 6 7 5 8 4 9 3 10 2 11 1 12 18 13 17 14 16 15 7 8 6 9 5 10 4 11 3 12 2 13 1 14 18 15 17 16 8 9 7 10 6 11 5 12 4 13 3 14 2 15 1 16 18 17 9 10 8 11 7 12 6 13 5 14 4 15 3 16 2 17 1 18 10 11 9 12 8 13 7 14 6 15 5 16 4 17 3 18 2 1 11 12 10 13 9 14 8 15 7 16 6 17 5 18 4 1 3 2 12 13 11 14 10 15 9 16 8 17 7 18 6 1 5 2 4 3 13 14 12 15 11 16 10 17 9 18 8 1 7 2 6 3 5 4 14 15 13 16 12 17 11 18 10 1 9 2 8 3 7 4 6 5 15 16 14 17 13 18 12 1 11 2 10 3 9 4 8 5 7 6 16 17 15 18 14 1 13 2 12 3 11 4 10 5 9 6 8 7 17 18 16 1 15 2 14 3 13 4 12 5 11 6 10 7 9 8 18 1 17 2 16 3 15 4 14 5 13 6 12 7 11 8 10 9 Size = 19 A B S C R D Q E P F O G N H M I L J K B C A D S E R F Q G P H O I N J M K L C D B E A F S G R H Q I P J O K N L M D E C F B G A H S I R J Q K P L O M N E F D G C H B I A J S K R L Q M P N O F G E H D I C J B K A L S M R N Q O P G H F I E J D K C L B M A N S O R P Q H I G J F K E L D M C N B O A P S Q R I J H K G L F M E N D O C P B Q A R S J K I L H M G N F O E P D Q C R B S A K L J M I N H O G P F Q E R D S C A B L M K N J O I P H Q G R F S E A D B C M N L O K P J Q I R H S G A F B E C D N O M P L Q K R J S I A H B G C F D E O P N Q M R L S K A J B I C H D G E F P Q O R N S M A L B K C J D I E H F G Q R P S O A N B M C L D K E J F I G H R S Q A P B O C N D M E L F K G J H I S A R B Q C P D O E N F M G L H K I J K J L I M H N G O F P E Q D R C S B A L K M J N I O H P G Q F R E S D A C B M L N K O J P I Q H R G S F A E B D C N M O L P K Q J R I S H A G B F C E D O N P M Q L R K S J A I B H C G D F E P O Q N R M S L A K B J C I D H E G F Q P R O S N A M B L C K D J E I F H G R Q S P A O B N C M D L E K F J G I H S R A Q B P C O D N E M F L G K H J I A S B R C Q D P E O F N G M H L I K J B A C S D R E Q F P G O H N I M J L K C B D A E S F R G Q H P I O J N K M L D C E B F A G S H R I Q J P K O L N M E D F C G B H A I S J R K Q L P M O N F E G D H C I B J A K S L R M Q N P O G F H E I D J C K B L A M S N R O Q P H G I F J E K D L C M B N A O S P R Q I H J G K F L E M D N C O B P A Q S R J I K H L G M F N E O D P C Q B R A S 1 2 19 3 18 4 17 5 16 6 15 7 14 8 13 9 12 10 11 2 3 1 4 19 5 18 6 17 7 16 8 15 9 14 10 13 11 12 3 4 2 5 1 6 19 7 18 8 17 9 16 10 15 11 14 12 13 4 5 3 6 2 7 1 8 19 9 18 10 17 11 16 12 15 13 14 5 6 4 7 3 8 2 9 1 10 19 11 18 12 17 13 16 14 15 6 7 5 8 4 9 3 10 2 11 1 12 19 13 18 14 17 15 16 7 8 6 9 5 10 4 11 3 12 2 13 1 14 19 15 18 16 17 8 9 7 10 6 11 5 12 4 13 3 14 2 15 1 16 19 17 18 9 10 8 11 7 12 6 13 5 14 4 15 3 16 2 17 1 18 19 10 11 9 12 8 13 7 14 6 15 5 16 4 17 3 18 2 19 1 11 12 10 13 9 14 8 15 7 16 6 17 5 18 4 19 3 1 2 12 13 11 14 10 15 9 16 8 17 7 18 6 19 5 1 4 2 3 13 14 12 15 11 16 10 17 9 18 8 19 7 1 6 2 5 3 4 14 15 13 16 12 17 11 18 10 19 9 1 8 2 7 3 6 4 5 15 16 14 17 13 18 12 19 11 1 10 2 9 3 8 4 7 5 6 16 17 15 18 14 19 13 1 12 2 11 3 10 4 9 5 8 6 7 17 18 16 19 15 1 14 2 13 3 12 4 11 5 10 6 9 7 8 18 19 17 1 16 2 15 3 14 4 13 5 12 6 11 7 10 8 9 19 1 18 2 17 3 16 4 15 5 14 6 13 7 12 8 11 9 10 11 10 12 9 13 8 14 7 15 6 16 5 17 4 18 3 19 2 1 12 11 13 10 14 9 15 8 16 7 17 6 18 5 19 4 1 3 2 13 12 14 11 15 10 16 9 17 8 18 7 19 6 1 5 2 4 3 14 13 15 12 16 11 17 10 18 9 19 8 1 7 2 6 3 5 4 15 14 16 13 17 12 18 11 19 10 1 9 2 8 3 7 4 6 5 16 15 17 14 18 13 19 12 1 11 2 10 3 9 4 8 5 7 6 17 16 18 15 19 14 1 13 2 12 3 11 4 10 5 9 6 8 7 18 17 19 16 1 15 2 14 3 13 4 12 5 11 6 10 7 9 8 19 18 1 17 2 16 3 15 4 14 5 13 6 12 7 11 8 10 9 1 19 2 18 3 17 4 16 5 15 6 14 7 13 8 12 9 11 10 2 1 3 19 4 18 5 17 6 16 7 15 8 14 9 13 10 12 11 3 2 4 1 5 19 6 18 7 17 8 16 9 15 10 14 11 13 12 4 3 5 2 6 1 7 19 8 18 9 17 10 16 11 15 12 14 13 5 4 6 3 7 2 8 1 9 19 10 18 11 17 12 16 13 15 14 6 5 7 4 8 3 9 2 10 1 11 19 12 18 13 17 14 16 15 7 6 8 5 9 4 10 3 11 2 12 1 13 19 14 18 15 17 16 8 7 9 6 10 5 11 4 12 3 13 2 14 1 15 19 16 18 17 9 8 10 7 11 6 12 5 13 4 14 3 15 2 16 1 17 19 18 10 9 11 8 12 7 13 6 14 5 15 4 16 3 17 2 18 1 19 Size = 20 A B T C S D R E Q F P G O H N I M J L K B C A D T E S F R G Q H P I O J N K M L C D B E A F T G S H R I Q J P K O L N M D E C F B G A H T I S J R K Q L P M O N E F D G C H B I A J T K S L R M Q N P O F G E H D I C J B K A L T M S N R O Q P G H F I E J D K C L B M A N T O S P R Q H I G J F K E L D M C N B O A P T Q S R I J H K G L F M E N D O C P B Q A R T S J K I L H M G N F O E P D Q C R B S A T K L J M I N H O G P F Q E R D S C T B A L M K N J O I P H Q G R F S E T D A C B M N L O K P J Q I R H S G T F A E B D C N O M P L Q K R J S I T H A G B F C E D O P N Q M R L S K T J A I B H C G D F E P Q O R N S M T L A K B J C I D H E G F Q R P S O T N A M B L C K D J E I F H G R S Q T P A O B N C M D L E K F J G I H S T R A Q B P C O D N E M F L G K H J I T A S B R C Q D P E O F N G M H L I K J 1 2 20 3 19 4 18 5 17 6 16 7 15 8 14 9 13 10 12 11 2 3 1 4 20 5 19 6 18 7 17 8 16 9 15 10 14 11 13 12 3 4 2 5 1 6 20 7 19 8 18 9 17 10 16 11 15 12 14 13 4 5 3 6 2 7 1 8 20 9 19 10 18 11 17 12 16 13 15 14 5 6 4 7 3 8 2 9 1 10 20 11 19 12 18 13 17 14 16 15 6 7 5 8 4 9 3 10 2 11 1 12 20 13 19 14 18 15 17 16 7 8 6 9 5 10 4 11 3 12 2 13 1 14 20 15 19 16 18 17 8 9 7 10 6 11 5 12 4 13 3 14 2 15 1 16 20 17 19 18 9 10 8 11 7 12 6 13 5 14 4 15 3 16 2 17 1 18 20 19 10 11 9 12 8 13 7 14 6 15 5 16 4 17 3 18 2 19 1 20 11 12 10 13 9 14 8 15 7 16 6 17 5 18 4 19 3 20 2 1 12 13 11 14 10 15 9 16 8 17 7 18 6 19 5 20 4 1 3 2 13 14 12 15 11 16 10 17 9 18 8 19 7 20 6 1 5 2 4 3 14 15 13 16 12 17 11 18 10 19 9 20 8 1 7 2 6 3 5 4 15 16 14 17 13 18 12 19 11 20 10 1 9 2 8 3 7 4 6 5 16 17 15 18 14 19 13 20 12 1 11 2 10 3 9 4 8 5 7 6 17 18 16 19 15 20 14 1 13 2 12 3 11 4 10 5 9 6 8 7 18 19 17 20 16 1 15 2 14 3 13 4 12 5 11 6 10 7 9 8 19 20 18 1 17 2 16 3 15 4 14 5 13 6 12 7 11 8 10 9 20 1 19 2 18 3 17 4 16 5 15 6 14 7 13 8 12 9 11 10 Size = 21 A B U C T D S E R F Q G P H O I N J M K L B C A D U E T F S G R H Q I P J O K N L M C D B E A F U G T H S I R J Q K P L O M N D E C F B G A H U I T J S K R L Q M P N O E F D G C H B I A J U K T L S M R N Q O P F G E H D I C J B K A L U M T N S O R P Q G H F I E J D K C L B M A N U O T P S Q R H I G J F K E L D M C N B O A P U Q T R S I J H K G L F M E N D O C P B Q A R U S T J K I L H M G N F O E P D Q C R B S A T U K L J M I N H O G P F Q E R D S C T B U A L M K N J O I P H Q G R F S E T D U C A B M N L O K P J Q I R H S G T F U E A D B C N O M P L Q K R J S I T H U G A F B E C D O P N Q M R L S K T J U I A H B G C F D E P Q O R N S M T L U K A J B I C H D G E F Q R P S O T N U M A L B K C J D I E H F G R S Q T P U O A N B M C L D K E J F I G H S T R U Q A P B O C N D M E L F K G J H I T U S A R B Q C P D O E N F M G L H K I J U A T B S C R D Q E P F O G N H M I L J K L K M J N I O H P G Q F R E S D T C U B A M L N K O J P I Q H R G S F T E U D A C B N M O L P K Q J R I S H T G U F A E B D C O N P M Q L R K S J T I U H A G B F C E D P O Q N R M S L T K U J A I B H C G D F E Q P R O S N T M U L A K B J C I D H E G F R Q S P T O U N A M B L C K D J E I F H G S R T Q U P A O B N C M D L E K F J G I H T S U R A Q B P C O D N E M F L G K H J I U T A S B R C Q D P E O F N G M H L I K J A U B T C S D R E Q F P G O H N I M J L K B A C U D T E S F R G Q H P I O J N K M L C B D A E U F T G S H R I Q J P K O L N M D C E B F A G U H T I S J R K Q L P M O N E D F C G B H A I U J T K S L R M Q N P O F E G D H C I B J A K U L T M S N R O Q P G F H E I D J C K B L A M U N T O S P R Q H G I F J E K D L C M B N A O U P T Q S R I H J G K F L E M D N C O B P A Q U R T S J I K H L G M F N E O D P C Q B R A S U T K J L I M H N G O F P E Q D R C S B T A U 1 2 21 3 20 4 19 5 18 6 17 7 16 8 15 9 14 10 13 11 12 2 3 1 4 21 5 20 6 19 7 18 8 17 9 16 10 15 11 14 12 13 3 4 2 5 1 6 21 7 20 8 19 9 18 10 17 11 16 12 15 13 14 4 5 3 6 2 7 1 8 21 9 20 10 19 11 18 12 17 13 16 14 15 5 6 4 7 3 8 2 9 1 10 21 11 20 12 19 13 18 14 17 15 16 6 7 5 8 4 9 3 10 2 11 1 12 21 13 20 14 19 15 18 16 17 7 8 6 9 5 10 4 11 3 12 2 13 1 14 21 15 20 16 19 17 18 8 9 7 10 6 11 5 12 4 13 3 14 2 15 1 16 21 17 20 18 19 9 10 8 11 7 12 6 13 5 14 4 15 3 16 2 17 1 18 21 19 20 10 11 9 12 8 13 7 14 6 15 5 16 4 17 3 18 2 19 1 20 21 11 12 10 13 9 14 8 15 7 16 6 17 5 18 4 19 3 20 2 21 1 12 13 11 14 10 15 9 16 8 17 7 18 6 19 5 20 4 21 3 1 2 13 14 12 15 11 16 10 17 9 18 8 19 7 20 6 21 5 1 4 2 3 14 15 13 16 12 17 11 18 10 19 9 20 8 21 7 1 6 2 5 3 4 15 16 14 17 13 18 12 19 11 20 10 21 9 1 8 2 7 3 6 4 5 16 17 15 18 14 19 13 20 12 21 11 1 10 2 9 3 8 4 7 5 6 17 18 16 19 15 20 14 21 13 1 12 2 11 3 10 4 9 5 8 6 7 18 19 17 20 16 21 15 1 14 2 13 3 12 4 11 5 10 6 9 7 8 19 20 18 21 17 1 16 2 15 3 14 4 13 5 12 6 11 7 10 8 9 20 21 19 1 18 2 17 3 16 4 15 5 14 6 13 7 12 8 11 9 10 21 1 20 2 19 3 18 4 17 5 16 6 15 7 14 8 13 9 12 10 11 12 11 13 10 14 9 15 8 16 7 17 6 18 5 19 4 20 3 21 2 1 13 12 14 11 15 10 16 9 17 8 18 7 19 6 20 5 21 4 1 3 2 14 13 15 12 16 11 17 10 18 9 19 8 20 7 21 6 1 5 2 4 3 15 14 16 13 17 12 18 11 19 10 20 9 21 8 1 7 2 6 3 5 4 16 15 17 14 18 13 19 12 20 11 21 10 1 9 2 8 3 7 4 6 5 17 16 18 15 19 14 20 13 21 12 1 11 2 10 3 9 4 8 5 7 6 18 17 19 16 20 15 21 14 1 13 2 12 3 11 4 10 5 9 6 8 7 19 18 20 17 21 16 1 15 2 14 3 13 4 12 5 11 6 10 7 9 8 20 19 21 18 1 17 2 16 3 15 4 14 5 13 6 12 7 11 8 10 9 21 20 1 19 2 18 3 17 4 16 5 15 6 14 7 13 8 12 9 11 10 1 21 2 20 3 19 4 18 5 17 6 16 7 15 8 14 9 13 10 12 11 2 1 3 21 4 20 5 19 6 18 7 17 8 16 9 15 10 14 11 13 12 3 2 4 1 5 21 6 20 7 19 8 18 9 17 10 16 11 15 12 14 13 4 3 5 2 6 1 7 21 8 20 9 19 10 18 11 17 12 16 13 15 14 5 4 6 3 7 2 8 1 9 21 10 20 11 19 12 18 13 17 14 16 15 6 5 7 4 8 3 9 2 10 1 11 21 12 20 13 19 14 18 15 17 16 7 6 8 5 9 4 10 3 11 2 12 1 13 21 14 20 15 19 16 18 17 8 7 9 6 10 5 11 4 12 3 13 2 14 1 15 21 16 20 17 19 18 9 8 10 7 11 6 12 5 13 4 14 3 15 2 16 1 17 21 18 20 19 10 9 11 8 12 7 13 6 14 5 15 4 16 3 17 2 18 1 19 21 20 11 10 12 9 13 8 14 7 15 6 16 5 17 4 18 3 19 2 20 1 21 Size = 22 A B V C U D T E S F R G Q H P I O J N K M L B C A D V E U F T G S H R I Q J P K O L N M C D B E A F V G U H T I S J R K Q L P M O N D E C F B G A H V I U J T K S L R M Q N P O E F D G C H B I A J V K U L T M S N R O Q P F G E H D I C J B K A L V M U N T O S P R Q G H F I E J D K C L B M A N V O U P T Q S R H I G J F K E L D M C N B O A P V Q U R T S I J H K G L F M E N D O C P B Q A R V S U T J K I L H M G N F O E P D Q C R B S A T V U K L J M I N H O G P F Q E R D S C T B U A V L M K N J O I P H Q G R F S E T D U C V B A M N L O K P J Q I R H S G T F U E V D A C B N O M P L Q K R J S I T H U G V F A E B D C O P N Q M R L S K T J U I V H A G B F C E D P Q O R N S M T L U K V J A I B H C G D F E Q R P S O T N U M V L A K B J C I D H E G F R S Q T P U O V N A M B L C K D J E I F H G S T R U Q V P A O B N C M D L E K F J G I H T U S V R A Q B P C O D N E M F L G K H J I U V T A S B R C Q D P E O F N G M H L I K J V A U B T C S D R E Q F P G O H N I M J L K 1 2 22 3 21 4 20 5 19 6 18 7 17 8 16 9 15 10 14 11 13 12 2 3 1 4 22 5 21 6 20 7 19 8 18 9 17 10 16 11 15 12 14 13 3 4 2 5 1 6 22 7 21 8 20 9 19 10 18 11 17 12 16 13 15 14 4 5 3 6 2 7 1 8 22 9 21 10 20 11 19 12 18 13 17 14 16 15 5 6 4 7 3 8 2 9 1 10 22 11 21 12 20 13 19 14 18 15 17 16 6 7 5 8 4 9 3 10 2 11 1 12 22 13 21 14 20 15 19 16 18 17 7 8 6 9 5 10 4 11 3 12 2 13 1 14 22 15 21 16 20 17 19 18 8 9 7 10 6 11 5 12 4 13 3 14 2 15 1 16 22 17 21 18 20 19 9 10 8 11 7 12 6 13 5 14 4 15 3 16 2 17 1 18 22 19 21 20 10 11 9 12 8 13 7 14 6 15 5 16 4 17 3 18 2 19 1 20 22 21 11 12 10 13 9 14 8 15 7 16 6 17 5 18 4 19 3 20 2 21 1 22 12 13 11 14 10 15 9 16 8 17 7 18 6 19 5 20 4 21 3 22 2 1 13 14 12 15 11 16 10 17 9 18 8 19 7 20 6 21 5 22 4 1 3 2 14 15 13 16 12 17 11 18 10 19 9 20 8 21 7 22 6 1 5 2 4 3 15 16 14 17 13 18 12 19 11 20 10 21 9 22 8 1 7 2 6 3 5 4 16 17 15 18 14 19 13 20 12 21 11 22 10 1 9 2 8 3 7 4 6 5 17 18 16 19 15 20 14 21 13 22 12 1 11 2 10 3 9 4 8 5 7 6 18 19 17 20 16 21 15 22 14 1 13 2 12 3 11 4 10 5 9 6 8 7 19 20 18 21 17 22 16 1 15 2 14 3 13 4 12 5 11 6 10 7 9 8 20 21 19 22 18 1 17 2 16 3 15 4 14 5 13 6 12 7 11 8 10 9 21 22 20 1 19 2 18 3 17 4 16 5 15 6 14 7 13 8 12 9 11 10 22 1 21 2 20 3 19 4 18 5 17 6 16 7 15 8 14 9 13 10 12 11 Size = 23 A B W C V D U E T F S G R H Q I P J O K N L M B C A D W E V F U G T H S I R J Q K P L O M N C D B E A F W G V H U I T J S K R L Q M P N O D E C F B G A H W I V J U K T L S M R N Q O P E F D G C H B I A J W K V L U M T N S O R P Q F G E H D I C J B K A L W M V N U O T P S Q R G H F I E J D K C L B M A N W O V P U Q T R S H I G J F K E L D M C N B O A P W Q V R U S T I J H K G L F M E N D O C P B Q A R W S V T U J K I L H M G N F O E P D Q C R B S A T W U V K L J M I N H O G P F Q E R D S C T B U A V W L M K N J O I P H Q G R F S E T D U C V B W A M N L O K P J Q I R H S G T F U E V D W C A B N O M P L Q K R J S I T H U G V F W E A D B C O P N Q M R L S K T J U I V H W G A F B E C D P Q O R N S M T L U K V J W I A H B G C F D E Q R P S O T N U M V L W K A J B I C H D G E F R S Q T P U O V N W M A L B K C J D I E H F G S T R U Q V P W O A N B M C L D K E J F I G H T U S V R W Q A P B O C N D M E L F K G J H I U V T W S A R B Q C P D O E N F M G L H K I J V W U A T B S C R D Q E P F O G N H M I L J K W A V B U C T D S E R F Q G P H O I N J M K L M L N K O J P I Q H R G S F T E U D V C W B A N M O L P K Q J R I S H T G U F V E W D A C B O N P M Q L R K S J T I U H V G W F A E B D C P O Q N R M S L T K U J V I W H A G B F C E D Q P R O S N T M U L V K W J A I B H C G D F E R Q S P T O U N V M W L A K B J C I D H E G F S R T Q U P V O W N A M B L C K D J E I F H G T S U R V Q W P A O B N C M D L E K F J G I H U T V S W R A Q B P C O D N E M F L G K H J I V U W T A S B R C Q D P E O F N G M H L I K J W V A U B T C S D R E Q F P G O H N I M J L K A W B V C U D T E S F R G Q H P I O J N K M L B A C W D V E U F T G S H R I Q J P K O L N M C B D A E W F V G U H T I S J R K Q L P M O N D C E B F A G W H V I U J T K S L R M Q N P O E D F C G B H A I W J V K U L T M S N R O Q P F E G D H C I B J A K W L V M U N T O S P R Q G F H E I D J C K B L A M W N V O U P T Q S R H G I F J E K D L C M B N A O W P V Q U R T S I H J G K F L E M D N C O B P A Q W R V S U T J I K H L G M F N E O D P C Q B R A S W T V U K J L I M H N G O F P E Q D R C S B T A U W V L K M J N I O H P G Q F R E S D T C U B V A W 1 2 23 3 22 4 21 5 20 6 19 7 18 8 17 9 16 10 15 11 14 12 13 2 3 1 4 23 5 22 6 21 7 20 8 19 9 18 10 17 11 16 12 15 13 14 3 4 2 5 1 6 23 7 22 8 21 9 20 10 19 11 18 12 17 13 16 14 15 4 5 3 6 2 7 1 8 23 9 22 10 21 11 20 12 19 13 18 14 17 15 16 5 6 4 7 3 8 2 9 1 10 23 11 22 12 21 13 20 14 19 15 18 16 17 6 7 5 8 4 9 3 10 2 11 1 12 23 13 22 14 21 15 20 16 19 17 18 7 8 6 9 5 10 4 11 3 12 2 13 1 14 23 15 22 16 21 17 20 18 19 8 9 7 10 6 11 5 12 4 13 3 14 2 15 1 16 23 17 22 18 21 19 20 9 10 8 11 7 12 6 13 5 14 4 15 3 16 2 17 1 18 23 19 22 20 21 10 11 9 12 8 13 7 14 6 15 5 16 4 17 3 18 2 19 1 20 23 21 22 11 12 10 13 9 14 8 15 7 16 6 17 5 18 4 19 3 20 2 21 1 22 23 12 13 11 14 10 15 9 16 8 17 7 18 6 19 5 20 4 21 3 22 2 23 1 13 14 12 15 11 16 10 17 9 18 8 19 7 20 6 21 5 22 4 23 3 1 2 14 15 13 16 12 17 11 18 10 19 9 20 8 21 7 22 6 23 5 1 4 2 3 15 16 14 17 13 18 12 19 11 20 10 21 9 22 8 23 7 1 6 2 5 3 4 16 17 15 18 14 19 13 20 12 21 11 22 10 23 9 1 8 2 7 3 6 4 5 17 18 16 19 15 20 14 21 13 22 12 23 11 1 10 2 9 3 8 4 7 5 6 18 19 17 20 16 21 15 22 14 23 13 1 12 2 11 3 10 4 9 5 8 6 7 19 20 18 21 17 22 16 23 15 1 14 2 13 3 12 4 11 5 10 6 9 7 8 20 21 19 22 18 23 17 1 16 2 15 3 14 4 13 5 12 6 11 7 10 8 9 21 22 20 23 19 1 18 2 17 3 16 4 15 5 14 6 13 7 12 8 11 9 10 22 23 21 1 20 2 19 3 18 4 17 5 16 6 15 7 14 8 13 9 12 10 11 23 1 22 2 21 3 20 4 19 5 18 6 17 7 16 8 15 9 14 10 13 11 12 13 12 14 11 15 10 16 9 17 8 18 7 19 6 20 5 21 4 22 3 23 2 1 14 13 15 12 16 11 17 10 18 9 19 8 20 7 21 6 22 5 23 4 1 3 2 15 14 16 13 17 12 18 11 19 10 20 9 21 8 22 7 23 6 1 5 2 4 3 16 15 17 14 18 13 19 12 20 11 21 10 22 9 23 8 1 7 2 6 3 5 4 17 16 18 15 19 14 20 13 21 12 22 11 23 10 1 9 2 8 3 7 4 6 5 18 17 19 16 20 15 21 14 22 13 23 12 1 11 2 10 3 9 4 8 5 7 6 19 18 20 17 21 16 22 15 23 14 1 13 2 12 3 11 4 10 5 9 6 8 7 20 19 21 18 22 17 23 16 1 15 2 14 3 13 4 12 5 11 6 10 7 9 8 21 20 22 19 23 18 1 17 2 16 3 15 4 14 5 13 6 12 7 11 8 10 9 22 21 23 20 1 19 2 18 3 17 4 16 5 15 6 14 7 13 8 12 9 11 10 23 22 1 21 2 20 3 19 4 18 5 17 6 16 7 15 8 14 9 13 10 12 11 1 23 2 22 3 21 4 20 5 19 6 18 7 17 8 16 9 15 10 14 11 13 12 2 1 3 23 4 22 5 21 6 20 7 19 8 18 9 17 10 16 11 15 12 14 13 3 2 4 1 5 23 6 22 7 21 8 20 9 19 10 18 11 17 12 16 13 15 14 4 3 5 2 6 1 7 23 8 22 9 21 10 20 11 19 12 18 13 17 14 16 15 5 4 6 3 7 2 8 1 9 23 10 22 11 21 12 20 13 19 14 18 15 17 16 6 5 7 4 8 3 9 2 10 1 11 23 12 22 13 21 14 20 15 19 16 18 17 7 6 8 5 9 4 10 3 11 2 12 1 13 23 14 22 15 21 16 20 17 19 18 8 7 9 6 10 5 11 4 12 3 13 2 14 1 15 23 16 22 17 21 18 20 19 9 8 10 7 11 6 12 5 13 4 14 3 15 2 16 1 17 23 18 22 19 21 20 10 9 11 8 12 7 13 6 14 5 15 4 16 3 17 2 18 1 19 23 20 22 21 11 10 12 9 13 8 14 7 15 6 16 5 17 4 18 3 19 2 20 1 21 23 22 12 11 13 10 14 9 15 8 16 7 17 6 18 5 19 4 20 3 21 2 22 1 23 Size = 24 A B X C W D V E U F T G S H R I Q J P K O L N M B C A D X E W F V G U H T I S J R K Q L P M O N C D B E A F X G W H V I U J T K S L R M Q N P O D E C F B G A H X I W J V K U L T M S N R O Q P E F D G C H B I A J X K W L V M U N T O S P R Q F G E H D I C J B K A L X M W N V O U P T Q S R G H F I E J D K C L B M A N X O W P V Q U R T S H I G J F K E L D M C N B O A P X Q W R V S U T I J H K G L F M E N D O C P B Q A R X S W T V U J K I L H M G N F O E P D Q C R B S A T X U W V K L J M I N H O G P F Q E R D S C T B U A V X W L M K N J O I P H Q G R F S E T D U C V B W A X M N L O K P J Q I R H S G T F U E V D W C X B A N O M P L Q K R J S I T H U G V F W E X D A C B O P N Q M R L S K T J U I V H W G X F A E B D C P Q O R N S M T L U K V J W I X H A G B F C E D Q R P S O T N U M V L W K X J A I B H C G D F E R S Q T P U O V N W M X L A K B J C I D H E G F S T R U Q V P W O X N A M B L C K D J E I F H G T U S V R W Q X P A O B N C M D L E K F J G I H U V T W S X R A Q B P C O D N E M F L G K H J I V W U X T A S B R C Q D P E O F N G M H L I K J W X V A U B T C S D R E Q F P G O H N I M J L K X A W B V C U D T E S F R G Q H P I O J N K M L 1 2 24 3 23 4 22 5 21 6 20 7 19 8 18 9 17 10 16 11 15 12 14 13 2 3 1 4 24 5 23 6 22 7 21 8 20 9 19 10 18 11 17 12 16 13 15 14 3 4 2 5 1 6 24 7 23 8 22 9 21 10 20 11 19 12 18 13 17 14 16 15 4 5 3 6 2 7 1 8 24 9 23 10 22 11 21 12 20 13 19 14 18 15 17 16 5 6 4 7 3 8 2 9 1 10 24 11 23 12 22 13 21 14 20 15 19 16 18 17 6 7 5 8 4 9 3 10 2 11 1 12 24 13 23 14 22 15 21 16 20 17 19 18 7 8 6 9 5 10 4 11 3 12 2 13 1 14 24 15 23 16 22 17 21 18 20 19 8 9 7 10 6 11 5 12 4 13 3 14 2 15 1 16 24 17 23 18 22 19 21 20 9 10 8 11 7 12 6 13 5 14 4 15 3 16 2 17 1 18 24 19 23 20 22 21 10 11 9 12 8 13 7 14 6 15 5 16 4 17 3 18 2 19 1 20 24 21 23 22 11 12 10 13 9 14 8 15 7 16 6 17 5 18 4 19 3 20 2 21 1 22 24 23 12 13 11 14 10 15 9 16 8 17 7 18 6 19 5 20 4 21 3 22 2 23 1 24 13 14 12 15 11 16 10 17 9 18 8 19 7 20 6 21 5 22 4 23 3 24 2 1 14 15 13 16 12 17 11 18 10 19 9 20 8 21 7 22 6 23 5 24 4 1 3 2 15 16 14 17 13 18 12 19 11 20 10 21 9 22 8 23 7 24 6 1 5 2 4 3 16 17 15 18 14 19 13 20 12 21 11 22 10 23 9 24 8 1 7 2 6 3 5 4 17 18 16 19 15 20 14 21 13 22 12 23 11 24 10 1 9 2 8 3 7 4 6 5 18 19 17 20 16 21 15 22 14 23 13 24 12 1 11 2 10 3 9 4 8 5 7 6 19 20 18 21 17 22 16 23 15 24 14 1 13 2 12 3 11 4 10 5 9 6 8 7 20 21 19 22 18 23 17 24 16 1 15 2 14 3 13 4 12 5 11 6 10 7 9 8 21 22 20 23 19 24 18 1 17 2 16 3 15 4 14 5 13 6 12 7 11 8 10 9 22 23 21 24 20 1 19 2 18 3 17 4 16 5 15 6 14 7 13 8 12 9 11 10 23 24 22 1 21 2 20 3 19 4 18 5 17 6 16 7 15 8 14 9 13 10 12 11 24 1 23 2 22 3 21 4 20 5 19 6 18 7 17 8 16 9 15 10 14 11 13 12 Size = 25 A B Y C X D W E V F U G T H S I R J Q K P L O M N B C A D Y E X F W G V H U I T J S K R L Q M P N O C D B E A F Y G X H W I V J U K T L S M R N Q O P D E C F B G A H Y I X J W K V L U M T N S O R P Q E F D G C H B I A J Y K X L W M V N U O T P S Q R F G E H D I C J B K A L Y M X N W O V P U Q T R S G H F I E J D K C L B M A N Y O X P W Q V R U S T H I G J F K E L D M C N B O A P Y Q X R W S V T U I J H K G L F M E N D O C P B Q A R Y S X T W U V J K I L H M G N F O E P D Q C R B S A T Y U X V W K L J M I N H O G P F Q E R D S C T B U A V Y W X L M K N J O I P H Q G R F S E T D U C V B W A X Y M N L O K P J Q I R H S G T F U E V D W C X B Y A N O M P L Q K R J S I T H U G V F W E X D Y C A B O P N Q M R L S K T J U I V H W G X F Y E A D B C P Q O R N S M T L U K V J W I X H Y G A F B E C D Q R P S O T N U M V L W K X J Y I A H B G C F D E R S Q T P U O V N W M X L Y K A J B I C H D G E F S T R U Q V P W O X N Y M A L B K C J D I E H F G T U S V R W Q X P Y O A N B M C L D K E J F I G H U V T W S X R Y Q A P B O C N D M E L F K G J H I V W U X T Y S A R B Q C P D O E N F M G L H K I J W X V Y U A T B S C R D Q E P F O G N H M I L J K X Y W A V B U C T D S E R F Q G P H O I N J M K L Y A X B W C V D U E T F S G R H Q I P J O K N L M N M O L P K Q J R I S H T G U F V E W D X C Y B A O N P M Q L R K S J T I U H V G W F X E Y D A C B P O Q N R M S L T K U J V I W H X G Y F A E B D C Q P R O S N T M U L V K W J X I Y H A G B F C E D R Q S P T O U N V M W L X K Y J A I B H C G D F E S R T Q U P V O W N X M Y L A K B J C I D H E G F T S U R V Q W P X O Y N A M B L C K D J E I F H G U T V S W R X Q Y P A O B N C M D L E K F J G I H V U W T X S Y R A Q B P C O D N E M F L G K H J I W V X U Y T A S B R C Q D P E O F N G M H L I K J X W Y V A U B T C S D R E Q F P G O H N I M J L K Y X A W B V C U D T E S F R G Q H P I O J N K M L A Y B X C W D V E U F T G S H R I Q J P K O L N M B A C Y D X E W F V G U H T I S J R K Q L P M O N C B D A E Y F X G W H V I U J T K S L R M Q N P O D C E B F A G Y H X I W J V K U L T M S N R O Q P E D F C G B H A I Y J X K W L V M U N T O S P R Q F E G D H C I B J A K Y L X M W N V O U P T Q S R G F H E I D J C K B L A M Y N X O W P V Q U R T S H G I F J E K D L C M B N A O Y P X Q W R V S U T I H J G K F L E M D N C O B P A Q Y R X S W T V U J I K H L G M F N E O D P C Q B R A S Y T X U W V K J L I M H N G O F P E Q D R C S B T A U Y V X W L K M J N I O H P G Q F R E S D T C U B V A W Y X M L N K O J P I Q H R G S F T E U D V C W B X A Y 1 2 25 3 24 4 23 5 22 6 21 7 20 8 19 9 18 10 17 11 16 12 15 13 14 2 3 1 4 25 5 24 6 23 7 22 8 21 9 20 10 19 11 18 12 17 13 16 14 15 3 4 2 5 1 6 25 7 24 8 23 9 22 10 21 11 20 12 19 13 18 14 17 15 16 4 5 3 6 2 7 1 8 25 9 24 10 23 11 22 12 21 13 20 14 19 15 18 16 17 5 6 4 7 3 8 2 9 1 10 25 11 24 12 23 13 22 14 21 15 20 16 19 17 18 6 7 5 8 4 9 3 10 2 11 1 12 25 13 24 14 23 15 22 16 21 17 20 18 19 7 8 6 9 5 10 4 11 3 12 2 13 1 14 25 15 24 16 23 17 22 18 21 19 20 8 9 7 10 6 11 5 12 4 13 3 14 2 15 1 16 25 17 24 18 23 19 22 20 21 9 10 8 11 7 12 6 13 5 14 4 15 3 16 2 17 1 18 25 19 24 20 23 21 22 10 11 9 12 8 13 7 14 6 15 5 16 4 17 3 18 2 19 1 20 25 21 24 22 23 11 12 10 13 9 14 8 15 7 16 6 17 5 18 4 19 3 20 2 21 1 22 25 23 24 12 13 11 14 10 15 9 16 8 17 7 18 6 19 5 20 4 21 3 22 2 23 1 24 25 13 14 12 15 11 16 10 17 9 18 8 19 7 20 6 21 5 22 4 23 3 24 2 25 1 14 15 13 16 12 17 11 18 10 19 9 20 8 21 7 22 6 23 5 24 4 25 3 1 2 15 16 14 17 13 18 12 19 11 20 10 21 9 22 8 23 7 24 6 25 5 1 4 2 3 16 17 15 18 14 19 13 20 12 21 11 22 10 23 9 24 8 25 7 1 6 2 5 3 4 17 18 16 19 15 20 14 21 13 22 12 23 11 24 10 25 9 1 8 2 7 3 6 4 5 18 19 17 20 16 21 15 22 14 23 13 24 12 25 11 1 10 2 9 3 8 4 7 5 6 19 20 18 21 17 22 16 23 15 24 14 25 13 1 12 2 11 3 10 4 9 5 8 6 7 20 21 19 22 18 23 17 24 16 25 15 1 14 2 13 3 12 4 11 5 10 6 9 7 8 21 22 20 23 19 24 18 25 17 1 16 2 15 3 14 4 13 5 12 6 11 7 10 8 9 22 23 21 24 20 25 19 1 18 2 17 3 16 4 15 5 14 6 13 7 12 8 11 9 10 23 24 22 25 21 1 20 2 19 3 18 4 17 5 16 6 15 7 14 8 13 9 12 10 11 24 25 23 1 22 2 21 3 20 4 19 5 18 6 17 7 16 8 15 9 14 10 13 11 12 25 1 24 2 23 3 22 4 21 5 20 6 19 7 18 8 17 9 16 10 15 11 14 12 13 14 13 15 12 16 11 17 10 18 9 19 8 20 7 21 6 22 5 23 4 24 3 25 2 1 15 14 16 13 17 12 18 11 19 10 20 9 21 8 22 7 23 6 24 5 25 4 1 3 2 16 15 17 14 18 13 19 12 20 11 21 10 22 9 23 8 24 7 25 6 1 5 2 4 3 17 16 18 15 19 14 20 13 21 12 22 11 23 10 24 9 25 8 1 7 2 6 3 5 4 18 17 19 16 20 15 21 14 22 13 23 12 24 11 25 10 1 9 2 8 3 7 4 6 5 19 18 20 17 21 16 22 15 23 14 24 13 25 12 1 11 2 10 3 9 4 8 5 7 6 20 19 21 18 22 17 23 16 24 15 25 14 1 13 2 12 3 11 4 10 5 9 6 8 7 21 20 22 19 23 18 24 17 25 16 1 15 2 14 3 13 4 12 5 11 6 10 7 9 8 22 21 23 20 24 19 25 18 1 17 2 16 3 15 4 14 5 13 6 12 7 11 8 10 9 23 22 24 21 25 20 1 19 2 18 3 17 4 16 5 15 6 14 7 13 8 12 9 11 10 24 23 25 22 1 21 2 20 3 19 4 18 5 17 6 16 7 15 8 14 9 13 10 12 11 25 24 1 23 2 22 3 21 4 20 5 19 6 18 7 17 8 16 9 15 10 14 11 13 12 1 25 2 24 3 23 4 22 5 21 6 20 7 19 8 18 9 17 10 16 11 15 12 14 13 2 1 3 25 4 24 5 23 6 22 7 21 8 20 9 19 10 18 11 17 12 16 13 15 14 3 2 4 1 5 25 6 24 7 23 8 22 9 21 10 20 11 19 12 18 13 17 14 16 15 4 3 5 2 6 1 7 25 8 24 9 23 10 22 11 21 12 20 13 19 14 18 15 17 16 5 4 6 3 7 2 8 1 9 25 10 24 11 23 12 22 13 21 14 20 15 19 16 18 17 6 5 7 4 8 3 9 2 10 1 11 25 12 24 13 23 14 22 15 21 16 20 17 19 18 7 6 8 5 9 4 10 3 11 2 12 1 13 25 14 24 15 23 16 22 17 21 18 20 19 8 7 9 6 10 5 11 4 12 3 13 2 14 1 15 25 16 24 17 23 18 22 19 21 20 9 8 10 7 11 6 12 5 13 4 14 3 15 2 16 1 17 25 18 24 19 23 20 22 21 10 9 11 8 12 7 13 6 14 5 15 4 16 3 17 2 18 1 19 25 20 24 21 23 22 11 10 12 9 13 8 14 7 15 6 16 5 17 4 18 3 19 2 20 1 21 25 22 24 23 12 11 13 10 14 9 15 8 16 7 17 6 18 5 19 4 20 3 21 2 22 1 23 25 24 13 12 14 11 15 10 16 9 17 8 18 7 19 6 20 5 21 4 22 3 23 2 24 1 25 Size = 26 A B Z C Y D X E W F V G U H T I S J R K Q L P M O N B C A D Z E Y F X G W H V I U J T K S L R M Q N P O C D B E A F Z G Y H X I W J V K U L T M S N R O Q P D E C F B G A H Z I Y J X K W L V M U N T O S P R Q E F D G C H B I A J Z K Y L X M W N V O U P T Q S R F G E H D I C J B K A L Z M Y N X O W P V Q U R T S G H F I E J D K C L B M A N Z O Y P X Q W R V S U T H I G J F K E L D M C N B O A P Z Q Y R X S W T V U I J H K G L F M E N D O C P B Q A R Z S Y T X U W V J K I L H M G N F O E P D Q C R B S A T Z U Y V X W K L J M I N H O G P F Q E R D S C T B U A V Z W Y X L M K N J O I P H Q G R F S E T D U C V B W A X Z Y M N L O K P J Q I R H S G T F U E V D W C X B Y A Z N O M P L Q K R J S I T H U G V F W E X D Y C Z B A O P N Q M R L S K T J U I V H W G X F Y E Z D A C B P Q O R N S M T L U K V J W I X H Y G Z F A E B D C Q R P S O T N U M V L W K X J Y I Z H A G B F C E D R S Q T P U O V N W M X L Y K Z J A I B H C G D F E S T R U Q V P W O X N Y M Z L A K B J C I D H E G F T U S V R W Q X P Y O Z N A M B L C K D J E I F H G U V T W S X R Y Q Z P A O B N C M D L E K F J G I H V W U X T Y S Z R A Q B P C O D N E M F L G K H J I W X V Y U Z T A S B R C Q D P E O F N G M H L I K J X Y W Z V A U B T C S D R E Q F P G O H N I M J L K Y Z X A W B V C U D T E S F R G Q H P I O J N K M L Z A Y B X C W D V E U F T G S H R I Q J P K O L N M 1 2 26 3 25 4 24 5 23 6 22 7 21 8 20 9 19 10 18 11 17 12 16 13 15 14 2 3 1 4 26 5 25 6 24 7 23 8 22 9 21 10 20 11 19 12 18 13 17 14 16 15 3 4 2 5 1 6 26 7 25 8 24 9 23 10 22 11 21 12 20 13 19 14 18 15 17 16 4 5 3 6 2 7 1 8 26 9 25 10 24 11 23 12 22 13 21 14 20 15 19 16 18 17 5 6 4 7 3 8 2 9 1 10 26 11 25 12 24 13 23 14 22 15 21 16 20 17 19 18 6 7 5 8 4 9 3 10 2 11 1 12 26 13 25 14 24 15 23 16 22 17 21 18 20 19 7 8 6 9 5 10 4 11 3 12 2 13 1 14 26 15 25 16 24 17 23 18 22 19 21 20 8 9 7 10 6 11 5 12 4 13 3 14 2 15 1 16 26 17 25 18 24 19 23 20 22 21 9 10 8 11 7 12 6 13 5 14 4 15 3 16 2 17 1 18 26 19 25 20 24 21 23 22 10 11 9 12 8 13 7 14 6 15 5 16 4 17 3 18 2 19 1 20 26 21 25 22 24 23 11 12 10 13 9 14 8 15 7 16 6 17 5 18 4 19 3 20 2 21 1 22 26 23 25 24 12 13 11 14 10 15 9 16 8 17 7 18 6 19 5 20 4 21 3 22 2 23 1 24 26 25 13 14 12 15 11 16 10 17 9 18 8 19 7 20 6 21 5 22 4 23 3 24 2 25 1 26 14 15 13 16 12 17 11 18 10 19 9 20 8 21 7 22 6 23 5 24 4 25 3 26 2 1 15 16 14 17 13 18 12 19 11 20 10 21 9 22 8 23 7 24 6 25 5 26 4 1 3 2 16 17 15 18 14 19 13 20 12 21 11 22 10 23 9 24 8 25 7 26 6 1 5 2 4 3 17 18 16 19 15 20 14 21 13 22 12 23 11 24 10 25 9 26 8 1 7 2 6 3 5 4 18 19 17 20 16 21 15 22 14 23 13 24 12 25 11 26 10 1 9 2 8 3 7 4 6 5 19 20 18 21 17 22 16 23 15 24 14 25 13 26 12 1 11 2 10 3 9 4 8 5 7 6 20 21 19 22 18 23 17 24 16 25 15 26 14 1 13 2 12 3 11 4 10 5 9 6 8 7 21 22 20 23 19 24 18 25 17 26 16 1 15 2 14 3 13 4 12 5 11 6 10 7 9 8 22 23 21 24 20 25 19 26 18 1 17 2 16 3 15 4 14 5 13 6 12 7 11 8 10 9 23 24 22 25 21 26 20 1 19 2 18 3 17 4 16 5 15 6 14 7 13 8 12 9 11 10 24 25 23 26 22 1 21 2 20 3 19 4 18 5 17 6 16 7 15 8 14 9 13 10 12 11 25 26 24 1 23 2 22 3 21 4 20 5 19 6 18 7 17 8 16 9 15 10 14 11 13 12 26 1 25 2 24 3 23 4 22 5 21 6 20 7 19 8 18 9 17 10 16 11 15 12 14 13