Each cell in a grid contains one of the digits from 1 to 7. Each row and column has each digit exactly once. The following clues give the totals of the cells indicated. How can you fill the grid?
A56=13
ABC1=6
ABCD4=13
B234=18
BC7=5
C34=4
D67=13
DEF2=8
EFG3=16
EF5=6
FG5=4
G1234=17
(In reply to
A starting point by Mindrod)
A B C D E F G
1 1 3 2 5 6 7 4
2 5 6 7 3 1 4 2
3 4 5 1 2 7 3 6
4 2 7 3 1 4 6 5
5 7 2 6 4 5 1 3
6 6 4 5 7 3 2 1
7 3 1 4 6 2 5 7
I'm surprised it took so long for a solution to be posted. I honestly thought it would be solved long before I returned. Here's my solution starting from where I left off. I see that it is identical to John Reid's solution (good work John).

Posted by Mindrod
on 20060405 10:26:44 