| From the introduction, each row and each column of the 5x5 Word Square contains the
characters HELP 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, the letter P is the 3rd letter in the
sequence in row 2. By clue 7, the letter P is the 2nd letter in the order in column
2. The P in column 2 cannot be in row 2, since that P is in either column 3 or column
4. So, the P in column 2 is in row 3, with the L in column 3 then in row 4 (2). By
clue 1, the H in row 1 must be in column 1 or column 2. By clue 9, the word HELP is
in order in one column, possibly with the space intervening. If this sequence
doesn't occur in column 1, but does in 3, 4, or 5, the sequence would have to begin
in row 2--but the L would then conflict with the L in column 2. So, the column in
which HELP is in order is column 1, with the H in row 1. Since the L in the sequence
can't conflict with the L in column 2, row 4, the L in column 1 is in row 3, and the
E is then in row 2. Similarly, if the word HELP occurs in order, with or without
the space in it (9), in row 5, the letter in row 5, column 4 would be L--a conflict
with clue 3, which says that the last letter in column 4 is the E. So, the word
HELP is in order in row 1. By clue 5, the 4th letter in row 3 is an H. In row 3,
then, the E can't be in column 5; nor, since the E in column 4 is the 4th letter (3),
can the E in row 3 be in column 4. The E in row 3 is in column 3. Then in row 1,
the E must be in column 2. Since the L in column 2 is the 3rd letter in that
column (2), the H must be in row 5 of column 2, with the space then in row 2. By
clue 4, the P in row 2 is in column 4. In row 1, the P in HELP is in column 5.
The L in row 1 is then in column 3 or 4. If the L in row 1 were in column 3 and
the space in column 4, in row 2, the H would be in column 3 and the L in column 5.
The E in column 4 would be in row 5 (3). The H in row 3 would have to be in column
4 (5), since there couldn't be another space in that column. But then the letter in
row 4 of column 4 would be an L, conflicting with the L in row 4, column 2. So,
the L in row 1 is in column 4 and the space in column 3. In row 2, the L is in
column 3 or column 5. If the L were in column 3 and the H in column 5, the H in
row 3 would be in column 4 (5) and the space in column 5. The H in column 3 would be
in row 4 and the P in row 5. In column 1, the P would be in row 4 and the space in
row 5. The L in column 5 would be in row 5, with the E then in row 4. But the
space in column 4 would then be in row 4--no (6). So, the L in row 2 is in column
5 and the H in column 3. Then the L in column 3 is in row 5, with the P in column
3 in row 4. The P in column 1 is in row 5, with the space in row 4. By clue 8,
the E in row 4 is in column 4 and the H in 5. Then the H in row 3 is in column 4
and the space in column 5, and the space in row 5 is in column 4 and the E in
column 5. Word Square 1 is as follows:
| | 1 | 2 | 3 | 4 | 5 |
| 1 | H | E | | L | P |
| 2 | E | | H | P | L |
| 3 | L | P | E | H | |
| 4 | | L | P | E | H |
| 5 | P | H | L | | E |
|
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