Each of the numbers 1 to 9 appears four times in the 6x6 grid. If a number appears twice in any row or column, it is mentioned in the relevant clue.

                 1  2  3  4  5  6
               +--+--+--+--+--+--+
            1  |  |  |  |  |  |  |
               +--+--+--+--+--+--+
            2  |  |  |  |  |  |  |
               +--+--+--+--+--+--+
            3  |  |  |  |  |  |  |
               +--+--+--+--+--+--+
            4  |  |  |  |  |  |  |
               +--+--+--+--+--+--+
            5  |  |  |  |  |  |  |
               +--+--+--+--+--+--+
            6  |  |  |  |  |  |  |
               +--+--+--+--+--+--+

ACROSS
1. Total 22.
2. The numbers in the first three cells are even; those in the last three are odd.
3. Two 5s, one of which is enclosed by two 1s. Total 27.
4. 7 and 9 are the only odd numbers.
5. No 2s, 3s or 9s.
6. Two 3s enclosing an 8. No 7s. Total 31.

DOWN
1. No 2s, 6s or 7s.
2. Two 7s separated by two squares. Four even numbers.
3. The sum of the lowest three cells is 14.
4. Total 21.
5. No 3s, 4s or 7s.
6. Two 9s separated by two squares. Total 39.

I'm afraid i've found several solutions to this puzzle...

172453
426397
561519
974286
847165
383629

similar (change the second row):

428397

also similar (change the second and fifth rows):

428395

845167



and another one different:

472351
824195
561519
976428
145687
383269


and there might be some more, i guess...

Posted by vj on 2006-10-17 12:52:18