(i,j) | i → | ||||||
j ↓ | 6 | 1 | 8 | 5 | 6 | 7 | 3 |
7 | 6 | 6 | 5 | 9 | 9 | 2 | |
3 | 7 | 3 | 3 | 3 | 1 | 4 | |
7 | 8 | 3 | 4 | 2 | 1 | 7 | |
5 | 6 | 2 | 5 | 9 | 4 | 8 | |
4 | 2 | 9 | 4 | 3 | 6 | 5 | |
5 | 3 | 5 | 2 | 4 | 4 | 1 | |
6 | 9 | 6 | 8 | 6 | 8 | 9 | |
3 | 7 | 5 | 5 | 3 | 6 | 2 |
Divide the 9x7 grid given above into seven shapes such that the numbers in each shape add up to the same total, where each of the seven shapes contain the same number of cells.(The shape of the seven parts may or may not be identical .)
Does there exist any further solutions if the seven shapes may not necessarily contain the same number of cells?