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956 B
956 B
Validate a Sudoku
Definition
Sudokus are number-puzzles in which cells in a 9×9 grid must be populated with the numbers 1 to 9.
The following constraints must apply to the 9×9 grid.
- Each digit from
1to9only occurs only once- per row
- per column
- per block (i.e. 3×3 sub grid)
Goal
Validate, if a given Sudoku is a valid solution.
The Sudoku must comply with the definition above.
Input
A sequence of 81 digits, organized in 9 columns and 9 rows.
The columns of a row are separated by blanks.
Rows are separated by line-breaks.
Output
A boolean value true or false defining the correctness of the input.
Constraints
1 <= digit <= 9
Examples
Input:
9 8 1 5 2 3 6 4 7
6 3 4 8 7 9 2 5 1
2 7 5 1 4 6 9 8 3
1 9 6 4 8 7 5 3 2
5 4 8 3 1 2 7 6 9
7 2 3 6 9 5 4 1 8
3 1 2 7 5 4 8 9 6
4 6 9 2 3 8 1 7 5
8 5 7 9 6 1 3 2 4
Output:
true