
We are given a partially filled m x n rectangle board, row sums and column sums.
- Empty cells are to be filled with numbers
- Numbers in the Solved Board can be from 1 to m*n
- Cells already filled in the board cannot be removed
- Each number from 1 to m*n must appear exactly once on the solved board
- All the empty cells should be filled such that each row and each column of the solved board must sum to the respective row sum and column sum as specified in the input