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Word Square 10
The great GAME is on in this Logic Puzzle.
November 13, 2006
From the introduction, each row and each column of Word Square 10 contains the characters GAME and a blank cell in some order, so that no character or space can be repeated in a row or a column. By clue 1, G is followed immediately by E across row 1. The G in row 1 can't be in column 3 (clue 5) or column 2 (8) and is in column 1 or column 4. Neither the A (4) nor the space (7) is in column 5 of row 1. If M were in row 1 of column 5, M would be 4th across row 1, which it is not (9). Therefore, the E in clue 1 must be in column 5 of row 1, with the G in column 4. By clue 2, A is the 1st letter across row 5; while by clue 6, A is the 3rd letter across row 4. A thus cannot be in row 5 or row 4 of column 5. By clue 4, A is in row 3 of column 5 and M in row 2. By clue 3, E is the 2nd letter across row 3 and is then in either column 2 or column 3. If E were in column 2, then G would be in row 4 of column 2 (8). In column 5, G would be in row 5 and the space in row 4. By clue 5, down column 3, M would be in row 1 and G in row 2. By elimination, the G in row 3 would be in column 1--no (10). So, by clue 3, the E across row 3 is in column 3. By clue 8, the E and G in column 2 are in rows 2 and 3 or in rows 4 and 5. If the E and G were in rows 4 and 5, the G in row 3 would be in column 1--again no (10). By clue 8, the E and G in column 2 are in rows 2 and 3. By clue 3, then, in row 3, the space is in column 1 and the M in column 4. By clue 2, the A in row 5 is in column 1. By clue 5, M is followed by G down column 3. The G can't be in row 2, since the A and space are already placed in column 1; the G is in row 5 and the M in row 4 of column 3. By elimination, the G in row 2 is in column 1. Then in column 1, M is in row 1 and E in row 4. In row 5, M is in column 2, with E then in column 4 and space in column 5. G in row 4 completes column 5. By clue 6, in row 4, A is in column 4 and space in column 2. By elimination, A is in column 2, row 1 and space in column 4, row 2. Finally, then, in column 3, space is in row 1 and A in row 2. In sum, Word Square 10 contains the word GAME as follows:



 12345
M A  G E
G E A  M
 G E M A
E  M A G
A M G E  

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