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PostPosted: Sun Aug 11, 2019 12:48 pm 
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Location: Saudi Arabia
tariq

For some reason I had missed these. While the No 8 Knight puzzle was easy, it was also very easy to make mistakes. After eventually realizing that it is not Anti-kNight it still took me three goes to solve.

Maurice


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PostPosted: Sun Aug 11, 2019 6:30 pm 
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I'm glad you liked them Maurice and Andrew. Thanks both for trying them out.

This latest batch was more or less to show the variety of forbidden pairs outside the usual non-consecutive format. so they were not designed particularly to be challenging. some of them were designed to be funny and some require some knowledge of (Tennis, Square numbers, ...).

I also tried to add the chess move layer on top outside the usual "wazir or king" varieties which are more common to the Non-consecutive and forbidden pairs in general.

I will post some more as there was at least one responder ;clapclap; who decided to try them out.

tarek


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 Post subject: Re: XV or not XV
PostPosted: Mon Aug 12, 2019 9:35 am 
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Sudoku XV rules state that the cells sharing an X edge should sum to 10 and the cells sharing a V edge should sum to 5. Any cells that don't share an X or V edges can't sum to 5 or 10. An entire sudoku puzzle in this variant with No X or V edges can't have adjacent cells sum to 5 or 10.

I present some variations to that theme but with a twist. This XV not only has no X or V edges, I removed the number 5 symbol from the puzzle and removed also its next replacement "10" from the symbol list as well :twisted: .

You still have 9 cells to fill with numbers from 1 to 11 skipping the 5 and 10. No adjacent cells can sum to 5 or 10 like in an XV puzzle but also in this one you can't get 5 or 10 through subtraction, division or multiplication either :lol:. That is why you can safely call them Sudoku No XV puzzles.


Sudoku No XV Puzzle 01 (Easy):
Code:
Fill each row, column and 9x9 box with numbers
from 1 to 11 skipping the 5 and 10
No adjacent (orthogonal) cells can sum, multiply, divide or subtract to give you 5 or 10
Toroidal grid: The grid displays a top-bottom right-left wrapping to
give you a toroidal (doughnut) shape (orthogonal continuity)

+-----------+-----------+-----------+
|  .  .  .  |  .  .  .  |  .  .  .  |
|  .  .  .  |  .  4  .  |  .  .  .  |
|  .  .  .  |  .  .  9  |  .  .  .  |
+-----------+-----------+-----------+
|  .  .  8  |  .  .  .  |  .  .  .  |
|  .  6  .  |  .  3  .  |  .  8  .  |
|  .  .  .  |  .  .  .  |  9  .  .  |
+-----------+-----------+-----------+
|  .  .  .  |  8  .  .  |  .  .  .  |
|  .  .  .  |  .  11 .  |  .  .  .  |
|  .  .  .  |  .  .  .  |  .  .  .  |
+-----------+-----------+-----------+


Hint:
Hidden Text:
Code:
1 + 4 = 5
1 + 9 = 10
2 + 3 = 5
2 + 8 = 10
3 + 7 = 10
4 + 6 = 10
6 - 1 = 5
7 - 2 = 5
8 - 3 = 5
9 - 4 = 5
11- 1 = 10
11- 6 = 5

Adjacent cell means any cell that shares an edge. That means on our rectangular grid with square cells that each cell can have a maximum of 4 adjacent cells (1 in each orthogonal direction). On a toroidal grid each cell will have 4 adjacent cells. On a grid without a continuity plane (non toroidal) then the cells at the edge of the board will have less adjacent cells and the corner cells will have only 2 adjacent cells each.

Neighbouring cell means any cell that shares an edge or a point. That means on our rectangular grid with square cells that each cell can have a maximum of 8 neighbouring cells (4 adjacent cells in each orthogonal direction and 4 cells sharing a point in each diagonal direction). On a toroidal grid each cell will have 8 neighbouring cells. On a grid without a continuity plane (non toroidal) then the cells at the edge of the board will have less neighbouring cells and the corner cells will have only 3 neighbouring cells each.


Image

Enjoy,

tarek

[Edit: added some clarifications]


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PostPosted: Fri Aug 23, 2019 2:23 am 
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Thanks tarek! A fun puzzle, fairly easy.

Solution:
A 4 3 1 8 7 6 2 9
9 2 6 3 4 A 8 1 7
8 1 7 6 2 9 A 3 4
1 7 8 9 6 2 4 A 3
2 6 9 A 3 4 7 8 1
4 3 A 7 1 8 9 6 2
3 A 4 8 7 1 2 9 6
6 9 2 4 A 3 1 7 8
7 8 1 2 9 6 3 4 A

I've used A to represent 11, making it easier to get a well-arranged solution grid.


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