Validate Sudoku Solution

Given a completed (9\times9) Sudoku grid, verify whether it is a valid solution. A valid Sudoku grid satisfies the following conditions:

• Each row contains the digits 1 to 9 without any repetition.
• Each column contains the digits 1 to 9 without any repetition.
• Each of the nine \(3\times3\) sub-grids contains the digits 1 to 9 without any repetition.

The grid is provided via standard input as 9 lines, each line containing 9 space-separated integers. Output a single line with True if the grid is a valid Sudoku solution, or False otherwise.

inputFormat

The input consists of 9 lines. Each line contains 9 integers separated by spaces, representing one row of the Sudoku grid.

outputFormat

Output a single line: True if the Sudoku grid is valid, or False if it is not.## sample

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

True