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# Sudoku verifier
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## Definition
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Sudokus are logic number puzzles in which cells in a 9×9 grid must be populated with
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the digits 1 to 9 in a way that each digit occurrs only once in each unit (that is column,
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row or block = 3×3 sub grid).
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## Goal
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Validate if a given solution for a Sudoku is valid, by checking that the digit
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1 to 9 appear only once in column, in each row and in each of the 9 sub grids.
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### Input
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a sequence of 81 digits, organized in 9 columns and 9 rows
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### Output
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A boolean value, if the grid is valid.
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### Constraints
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1 <= `digit` <= 9
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### Examples
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**Input:**
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```
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9 8 1 5 2 3 6 4 7
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6 3 4 8 7 9 2 5 1
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2 7 5 1 4 6 9 8 3
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1 9 6 4 8 7 5 3 2
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5 4 8 3 1 2 7 6 9
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7 2 3 6 9 5 4 1 8
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3 1 2 7 5 4 8 9 6
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4 6 9 2 3 8 1 7 5
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8 5 7 9 6 1 3 2 4
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```
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**Output:**
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`true`
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