The New Sudoku Players' Forum

[jovi_al01]

Code: Select all

4..8....5
.3.......
.........
.....2...
..6.1.7..
.....4...
.........
.........
5......93

classic Sudoku with the additional constraint that the nine-cell long diagonals must only contain three distinct digits. nothing trivial, but nothing too tricky either!
there is an interesting property about this puzzle that i'd like to note: this puzzle only has four given digits not on the diagonals! assuming my search was correct, this is also the only ED placement of those givens.

[shye]

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.-----------------.------------.------------------.
| 4     2     79  | 8   3   1  |w69    w67    5   |
|B678   3     5   | 2   9  B67 | 4      1     78  |
| 679-8 6789  1   |B67  4   5  | 2      3     789 |
:-----------------+------------+------------------:
| 1     478   478 | 3   67  2  | 69-58 W568   69  |
| 3     5     6   | 9   1   8  | 7      2     4   |
| 2     789   789 | 5   67  4  | 3     W68    1   |
:-----------------+------------+------------------:
| 69-8  689   2   | 4   58  3  | 1      67-58 67  |
|B678   1     3   |B67  58  9  |W568    4     2   |
| 5     4678  478 | 1   2   67 |W68     9     3   |
'-----------------'------------'------------------'

solves with two deductions in different places, so i can get away with putting them in the same diagram hehehe

bivalue oddagon
B-marked cells cannot all be 67 (odd amount of two digits in a loop)
=> -8r37c1

XSudo Input: Show

5 Truths = {28N1 38N4 2N6}
11 Links = {6r28 7r28 678c1 67c4 67b2}

ALS w-wing
(58=6)r46c8 - 6r1c8 = 6r1c7 - (6=58)r89c7
=> -58r4c7, -58r7c8

XSudo Input: Show

5 Truths = {6R1 89N7 46N8}
10 Links = {5r4 568c7 568c8 5b9 8b69}

[m_b_metcalf]

Easily done with informed guesses, for instance that r3c3 can only be 1:

Hidden Text: Show

Code: Select all

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