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Word Square 4
Today's big GAME is to rebuild the Word Square from the letter location clues.
November 15, 2004
From the introduction, each row and each column of the 5x5 Word Square 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 4, M and E appear in consecutive columns left-to-right in row 1; M and E must therefore be the first letters in two consecutive columns. By clue 8, G is the 1st letter in both columns 1 and 3. In clue 4, then, M is in row 1, column 4 and E in row 1, column 5. By clue 1, M is the 4th letter down column 1. If M were in row 4 with the space in row 5 of column 1, clue 3, where E must be the 1st letter in row 4, would conflict. So, the M in column 1 is in row 5. By clue 7, A is the 4th letter in row 2; while by clue 2, A is the 3rd letter in column 4. The A in row 2 must be in column 5. By clue 5, the M in column 5 must be in row 3. By clue 8, G is either in row 2 of column 1 and row 1 of column 3; or G is in row 1 of column 1 and row 2 of column 3. Trying the first possibility, row 1, column 1 would hold a space and row 1 column 2 an A. Then by clue 3, E would occupy column 1 of row 4, with A in row 3 of column 1. By clue 2, the A in column 4 would be in row 4. By elimination, A in column 3 would be in row 5. The space in row 4 would be in column 2 (clue 9). By clue 6, E in row 2 would be in column 2 with the space in column 4 and the M in column 3. However, there is now no way for M to fit in column 2. Therefore, the first possibility fails, and G is in row 1 of column 1 and row 2 of column 3. The space in row 1 is in column 3, with the A in column 2 of the row. The A in column 1 cannot be the 1st letter in row 4 (3) and is in row 3. By clue 2, A is in row 4 of column 4; by elimination, the A in column 3 is in row 5. If the E starting row 4 were in column 2 with the space in column 1 (9), the G in row 4 would be in column 5 and the M in row 4 in column 3. The column 5 space would be in row 5. Then the row 5 E would be in column 4 and the row 5 G in column 2--no (10). So, the E in row 4 is in column 1 (3) with the space in column 2 (9). The space in column 1 is in row 2. The G in row 4 is in column 5, with the M in column 3 of the row. Then the row 3 E is in column 3. The space in row 5 is in column 5. In row 2, the M is in column 2 and the E in column 4 (6). The row 5 E is in column 2, so that G is in column 4 of that row. Finally, row 4, column 2 contains G; and row 3 column 4 contains space. In sum, Word Square 4 is as follows:



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

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