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A very sparse Sudoku (Posted on 2022-05-14) Difficulty: 4 of 5
A standard 9x9 Sudoku grid is entirely empty except for two numbers in the bottom row. The bottom row looks like: 1, blank, 2, blank, blank, blank, blank, blank, blank.

The standard Sudoku rules apply: Each row and column must contain all the digits 1 to 9 and the smaller 3x3 blocks must also contain all the digits 1 to 9.

Two additional rules apply: Each of the positive diagonals must contain no repeating digits, and the adjacent digits along each positive diagonal must have a difference of 4 or more.

Note: the positive (sloped) diagonals are diagonals that run from southwest to northeast. To obey the difference rule, for example, the major positive diagonal can begin: 1, 5, 9, 3, ... but not 1, 6, 9, 3, ... because the difference between 9 and 6 is less than 4.

Find the unique solution for the full grid.

See The Solution Submitted by Steven Lord    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
just the main positively sloped diagonal | Comment 1 of 4
Just the beginning so far; just the main positively sloped diagonal.
The only two ways this can start with 1 and meet the "difference of 4" requirement are, starting lower left and ending upper right:
[1, 5, 9, 4, 8, 3, 7, 2, 6], and
[1, 6, 2, 7, 3, 8, 4, 9, 5]
But the second one conflicts with the position of 2 being in the bottom row.
So the main diagonal is:
[1, 5, 9, 4, 8, 3, 7, 2, 6]

  Posted by Larry on 2022-05-14 08:46:24
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