Sudoku Solver

Hardjavapythonccppjavascript

Given a partially filled 9x9 Sudoku board (empty cells are 0), fill every empty cell so that each row, each column and each 3x3 box contains the digits 1 to 9 exactly once. The puzzle has a unique solution.

Input Format

Nine lines, each containing 9 space-separated integers 0..9 (0 = empty).

Output Format

Print the solved board as 9 lines of 9 space-separated digits.

Example 1

Input

5 3 0 0 7 0 0 0 0
6 0 0 1 9 5 0 0 0
0 9 8 0 0 0 0 6 0
8 0 0 0 6 0 0 0 3
4 0 0 8 0 3 0 0 1
7 0 0 0 2 0 0 0 6
0 6 0 0 0 0 2 8 0
0 0 0 4 1 9 0 0 5
0 0 0 0 8 0 0 7 9

Output

5 3 4 6 7 8 9 1 2
6 7 2 1 9 5 3 4 8
1 9 8 3 4 2 5 6 7
8 5 9 7 6 1 4 2 3
4 2 6 8 5 3 7 9 1
7 1 3 9 2 4 8 5 6
9 6 1 5 3 7 2 8 4
2 8 7 4 1 9 6 3 5
3 4 5 2 8 6 1 7 9

Explanation: Every empty cell is filled while satisfying all Sudoku rules.

Input (stdin)

Output

Run your code to see output here...