The New Sudoku Players' Forum

[HATMAN]

I will check Mike.

I did quite a few variations and may have posted wrongly.

Maurice

[HATMAN]

Mike

I have just been through it again (carefully) and get the same solution:

1 6 8 7 4 9 5
5 2 7 9 6 3 8
8 9 3 6 7 5 2
7 5 9 4 1 8 6
4 8 6 1 5 7 9
9 7 2 5 8 6 3
6 3 5 8 9 2 7

I am using JSudoku on a 14 by 14 latin square (to avoid reflections around the corner on 9 by 9), with horizontal 40-sum killer cages and vertical 40-sum twin killer cages (for clarity).

I do occasionally find bugs in JSudoku.

I'll do it again purely manually but please post or send me your two solutions.

Maurice

[m_b_metcalf]

Maurice,
As I understand the rules:

- Similar to Sudoku, each number must NOT be repeated in the same column, the same row, or any 1 cell around it.

which I interpret to mean that a 9 in r3c2 and r4c3, or a 7 in r1c4 and r2c3, is not allowed. Thus, my partial solution is:

Code: Select all

 1 9 6 8 4 7 5
 5 2 7 9 9 3 8
 8 6 3 6 7 5 2
 7 5 9 4 1 8 6
 . 8 2 7 5 9 .
 9 7 5 1 8 6 3
 6 3 8 5 . 2 7

Regards,

Mike

[m_b_metcalf]

Here's my first attempt at a symmetric 40 Sum:
[withdrawn]

[HATMAN]

Mike

I completely missed that - so it is Anti-King.

I will remove it and re-post shortly.

Maurice

[m_b_metcalf]

Code: Select all

 . . . . . . .
 . . . . . . .
 . . . . . . 3
 . . . 5 . 6 2
 . 9 . . 3 . .
 . 3 . 6 . . 8
 . 5 . 4 8 . .  new, 12 givens

For your consideration.

Mike

[Edited to correct and improve puzzle. Sorry]

[m_b_metcalf]

Code: Select all

 . . . . . . .
 . . . . . . .
 . . . . . . 1
 . . . . 1 . 9
 . . . 8 . . 6
 . . 9 5 7 . 8
 . . 2 . 9 . .  11 givens, how low can we get??

[HATMAN]

40 by 40 AK 1

I think I have it right this time - JSudoku uses 4 fishes.

Without the green 8 it is still unique r4c1 has to be 7 - so 10 givens. The theoretical minimum must be 3 out of {1234} and 4 out of {56789} so 7 - so I would guess 9 as a minimum.

[m_b_metcalf]

Looks fine. The solution is:

Hidden Text: Show

Code: Select all

 1 5 6 9 4 7 8
 8 2 7 5 6 3 9
 6 9 3 8 7 5 2
 7 8 5 4 1 9 6
 9 6 2 7 5 8 3
 4 7 8 1 9 6 5
 5 3 9 6 8 2 7

Regards,
Mike

[m_b_metcalf]

[so 10 givens. The theoretical minimum must be 3 out of {1234} and 4 out of {56789} so 7 - so I would guess 9 as a minimum.

Here's another with 10:

Code: Select all

 . 5 . . . . .
 . . . 2 6 . .
 . 9 . . . . 1
 7 . . . 1 . .
 . . . . . . 6
 . . . 5 . . .
 . 8 . . . . .  10 clues

[m_b_metcalf]

so I would guess 9 as a minimum.

Well, 9 may or may not be a minimum, but it exists:

Code: Select all

 . . . 7 5 . .
 . . . 1 . . .
 . 3 . . . . .
 . . . 6 . . .
 . . . . . 7 .
 . 5 . . 9 . .
 . . 4 . . . .

[m_b_metcalf]

... and another, if anyone's interested:

Code: Select all

 . . . 7 6 1 .
 . . . 1 . 9 .
 . . . . . . .
 6 . . . 8 . 3
 . . . . . . .
 . . . . . . .
 . . 4 . . . .

[bhimz]

so I would guess 9 as a minimum.

Well, 9 may or may not be a minimum, but it exists:

Code: Select all

 . . . 7 5 . .
 . . . 1 . . .
 . 3 . . . . .
 . . . 6 . . .
 . . . . . 7 .
 . 5 . . 9 . .
 . . 4 . . . .

Wow, this one's pretty tough... the first column being empty really makes it hard for me to solve it. Here's my solution so far, will update again if I manage to crack it:

Hidden Text: Show

Code: Select all

 . . . 7 5 . .
 . . . 1 6 . .
 . 3 . 9 4 . .
 . . . 6 8 . .
 . . 9 4 1 7 5
 . 5 . 8 9 . .
 . . 4 5 7 . .

[m_b_metcalf]

Wow, this one's pretty tough... the first column being empty really makes it hard for me to solve it. Here's my solution so far, will update again if I manage to crack it:

Code: Select all

 . . . 7 5 . .
 . . . 1 6 . .
 . 3 . 9 4 . .
 . . . 6 8 . .
 . . 9 4 1 7 5
 . 5 . 8 9 . .
 . . 4 5 7 . .

Sorry for the delay in replying, but I'm sure you've noticed in the meantime that your solution has both a 3 and a 4 in row 3, which is not possible.

Regards,

Mike Metcalf