Algorithm first-solves more complex structures than 9*9 Sudoku

The algorithm originated from a friend for help. Friends in an electrical store to work, every year to the end of the need to do data, light on the ability of individuals can not be solved. So to mention this matter to me, as a proud program of apes, I said minutes to you to solve, but after detailed understanding, found that the problem is not so simple, so began to write an algorithm to help friends solve the problem.

The problem is described as follows:

Fill in all the blanks, guaranteeing that the number at the end of the column equals the sum of the number preceding the end, and that the number at the end of the line equals the sum of the previous number.

After the code is published.

Algorithm first-solves more complex structures than 9*9 Sudoku