Solve the Sudoku

PROBLEM : Given an incomplete Sudoku configuration in terms of a 9x9 2-D square matrix (mat[][]) the task to print a solution of the Sudoku. For simplicity you may assume that there will be only one unique solution. Example For the above configuration the solution is 3 1 6 5 7 8 4 9 2 5 2 9 1 3 4 7 6 8 4 8 7 6 2 9 5 3 1 2 6 3 4 1 5 9 8 7 9 7 4 8 6 3 1 2 5 8 5 1 7 9 2 6 4 3 1 3 8 9 4 7 2 5 6 6 9 2 3 5 1 8 7 4 7 4 5 2 8 6 3 1 9 Input: The first line of input contains an integer T denoting the no of test cases. Then T test cases follow. Each test case contains 9*9 space separated values of the matrix mat[][] representing an incomplete Sudoku state where a 0 represents empty block. Output: For each test case in a new line print the space separated values of the solution of the the sudoku. Constraints: 1<=T<=10 0<=mat[]<=9 Example: Input: 1 3 0 6 5 0 8 4 0 0 5 2 0 0 0 0 0 0 0 0 8 7 0 0 0 0 3 1 0 0 3 0 1 0 0 8 0 9 0 0 8 6 3 0 0 5 0 5 0 0 ...