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Omni-MATH / Consider a 9×9 grid of squares. Haruki fills each square in this grid with an integer between 1 and 9 , inclusive. The grid is called a super-sudoku if each of the following three …

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problem

Consider a 9×99 \times 9 grid of squares. Haruki fills each square in this grid with an integer between 1 and 9 , inclusive. The grid is called a super-sudoku if each of the following three conditions hold: - Each column in the grid contains each of the numbers 1,2,3,4,5,6,7,8,91,2,3,4,5,6,7,8,9 exactly once. - Each row in the grid contains each of the numbers 1,2,3,4,5,6,7,8,91,2,3,4,5,6,7,8,9 exactly once. - Each 3×33 \times 3 subsquare in the grid contains each of the numbers 1,2,3,4,5,6,7,8,91,2,3,4,5,6,7,8,9 exactly once. How many possible super-sudoku grids are there?
Plain-text mathematical notation (without MathML)
Consider a 9×9 grid of squares. Haruki fills each square in this grid with an integer between 1 and 9 , inclusive. The grid is called a super-sudoku if each of the following three conditions hold: - Each column in the grid contains each of the numbers 1,2,3,4,5,6,7,8,9 exactly once. - Each row in the grid contains each of the numbers 1,2,3,4,5,6,7,8,9 exactly once. - Each 3×3 subsquare in the grid contains each of the numbers 1,2,3,4,5,6,7,8,9 exactly once. How many possible super-sudoku grids are there?
Original LaTeX notation
Consider a $9 \times 9$ grid of squares. Haruki fills each square in this grid with an integer between 1 and 9 , inclusive. The grid is called a super-sudoku if each of the following three conditions hold: - Each column in the grid contains each of the numbers $1,2,3,4,5,6,7,8,9$ exactly once. - Each row in the grid contains each of the numbers $1,2,3,4,5,6,7,8,9$ exactly once. - Each $3 \times 3$ subsquare in the grid contains each of the numbers $1,2,3,4,5,6,7,8,9$ exactly once. How many possible super-sudoku grids are there?

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Source and history

task_id
82b5d388-9f31-5349-9f15-66381420e783
task_key
test--82b5d388-9f31-5349-9f15-66381420e783
task_revision_id
1
config / split
/ test

Official source

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