Sudoku
Given a sudoku grid, you are asked if it’s a valid one.
A valid sudoku grid should have:
All the numbers from 1 to 9 on each row.
All the numbers from 1 to 9 on each column.
All the numbers from 1 to 9 inside the
cells.
So, the invalid sudoku grid might have:
Some repeating numbers on some rows
Some repeating numbers on some columns
Some repeating numbers inside the
cells.
Input
The input contains a grid of numbers. All the filled numbers are integers from 0 to 9. The empty cells are represented as 0s.
Output
The program should print Valid in case the grid is valid and Not valid otherwise.
Examples
Input | Output |
|---|---|
0 0 0 0 0 8 0 0 2 0 7 0 0 0 0 0 1 0 0 2 0 7 0 0 9 0 0 0 0 0 0 0 0 7 0 1 0 0 0 9 0 2 6 0 0 3 0 5 8 0 0 0 4 0 9 0 0 6 0 0 4 0 0 0 0 0 2 0 7 0 6 0 0 0 1 0 0 4 0 0 0 | Valid |
0 0 0 0 0 8 0 0 2 0 7 0 0 0 0 0 1 0 0 2 0 7 0 0 9 0 0 0 0 0 0 0 0 7 0 1 0 6 0 9 0 2 6 0 0 3 0 5 8 0 0 0 4 0 9 0 0 6 0 0 4 0 0 0 0 0 2 0 7 0 6 0 0 0 1 0 0 4 0 0 0 | Not valid |
Constraints
Time limit: 2 seconds
Memory limit: 512 MB
Output limit: 1 MB