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Solve the Sudoku
Hard Accuracy: 45.03% Submissions: 9357 Points: 8

Given an incomplete Sudoku configuration in terms of a 9 x 9  2-D square matrix (grid[][]), the task to find a solved Sudoku. For simplicity, you may assume that there will be only one unique solution.

Sample Sudoku for you to get the logic for its solution:

Example 1:

Input:
grid[][] =
[[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 9 0 6 0 0],
[1 3 0 0 0 0 2 5 0],
[0 0 0 0 0 0 0 7 4],
[0 0 5 2 0 6 3 0 0]]
Output:
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


You need to complete the two functions:
SolveSudoku(): Takes a grid as its argument and returns true if a solution is possible and false if it is not.
printGrid(): Takes a grid as its argument and prints the 81 numbers of the solved Sudoku in a single line with space separation.

Expected Time Complexity: O(9N*N).
Expected Auxiliary Space: O(N*N).

Constraints:
0 ≤ grid[i][j] ≤ 9