From the introduction, each row and each column of the Word Square
contains the characters JUMP and a blank cell in some order, so that no
character or space can be repeated in a row or a column. By clue 7, J is
2nd down column 1, so J is either in row 2 or in row 3 of column 1. If J
were in row 3 of column 1, since by clue 1 J is immediately followed by M
across row 2, JM would be in columns 23, 34, or 45 of row 2. However, M
is 4th down column 5 (clue 5), so JM couldn't be in columns 45 of row 2.
Trying JM in columns 23 of row 2, by clue 8, U would be in column 3, row 3.
By clue 5, M in column 5 would be in row 4 or row 5. In either case,
however, there would be no way for the consecutive UJ down column 5 (9).
Trying JM in columns 34 of row 2, by clue 5, M down column 5 would be
in row 4 with space in row 5 or M down column 5 would be in row 5.
Trying the first possibility, with the M down column 5 in row 4 and the
column 5 space in row 5, by clue 3, the row 1 M would be in column 3.
However, there is no way for clue 8 to work given this arrangement.
Trying the second possibility, with the column 5 M in row 5, again by
clue 3 the row 1 M would be in column 3 and again there would be no way
for clue 8 to work. Therefore, there is no way for the J in clue 7
to be in row 3; it is in row 2. Then the row 2 M is in column 2 (1).
By clue 5, M in column 5 would be in row 4 or row 5. If the column 5
M were in row 5, by clue 9, UJ down column 5 would be in rows 23 or 34.
Trying the UJ in rows 23, the column 5 space and P would be in rows
1 and 4 or vice versa. If the column 5 space were in row 1, the row 1
M would be in column 3 (3)but there would be no way for clue 8 to work.
If the column 5 P were in row 1 and the space in row 4, by clues 3 and
8, the row 1 M would be in column 4. By clues 2 and 7, the column 1
space would be in row 3. The row 3 M would be in column 3, and the
row 4 M in column 1. The column 3 U would be in row 4 (8). In column 1,
the U would be in row 1 and and the P in row 5. The column 3 P would have
to be in row 2no (10). So, the column 5 M is not in row 5; it is in
row 4, with the column 5 space in row 5. By clue 9, U is in row 3 and
J in row 4 of column 5. By elimination, the column 5 P is in row 1.
If P in row 2 were in column 3, by clue 10, the column 3 space would be
in row 1. Then the row 1 M would be in column 4 (3). The row 1 J would
be in column 2no (4). So, the P in row 2 is in column 4, with the
row 2 space in column 3. By clue 8, the column 3 M is in row 3 with U in
row 4. P in column 3 is in row 5 and J in row 1. By clue 3, the row 1
M is in column 4. The row 3 P is in column 1 or column 2. In either case,
the row 3 U must be in column 4 (6). The column 4 space is in row 4 and
the J in row 5. In row 5, the M is in column 1 and U in column 2. J in
column 2 is in row 4, with the row 4 P in column 1. In column 2, space
is in row 1 and P in row 3; while in column 1, U is in row 1 and space
in row 3. In sum, our JUMP for Joy Word Square contains
the word JUMP as follows:
 1  2  3  4  5 
1  U   J  M  P 
2  J  M   P  U 
3   P  M  U  J 
4  P  J  U   M 
5  M  U  P  J  


