## Sudoku 37

For fans of Killer Sudoku, Samurai Sudoku and other variants

### Sudoku 37

I have made some little sudoku from a new form (only 37 cells), but they are not to easy I think.

Fill in the grid the digits 1 through 7 so that no row, column, and diagonal contains any digits more then once. Different cell colors help to spot the diagonals.

Pyrrhon

Puzzle 1

Puzzle 2

Pyrrhon

Posts: 240
Joined: 26 April 2006

Quite hard indeed
Could finally solve the first one with several XY-Wings, Turbot...
Is this the right solution ?

375
56124
1245637
5673421
3426175
71436
527
Jean-Christophe

Posts: 149
Joined: 22 January 2006

Jean-Christophe wrote:Is this the right solution ?

375
56124
1245637
5673421
3426175
71436
527

Yes JC, they're very tough little crackers... There are a total of 3 in Pyrrhon's website, I've solved them all... After titanic struggles... I'd say they're close to being ruudiculous...

Solution to the 2nd one here (your 1st one is correct):

126
67453
4536712
6721354
1357426
24317
652
udosuk

Posts: 2698
Joined: 17 July 2005

Yes, they are not easy, but also not ruudiculous because only standard techniques are used. Not easy to spot here, that's clear.

Here my walkthroughs:

(Naked singles and hidden singles are skipped. \ and / gives the direction of diagonals, cellnames as it would be a square.)

Puzzle 1

Line-Cell Interaction of C4 => R3C6 <> 5
Hidden Pair with 1 and 5 in R3
Naked Triple 3, 6, 7 in R3
Line-Cell Interaction of C4 => R5C2 <> 5
xyz-Wing with an almost naked pair in diagonal R1C3\ (R1C3, R3C5) with R2C5 => R2C4 <> 6
Turbot Fish with 1, strong links in R3 and R4 => R1C4 <> 1
Turbot Fish with 7, strong links in C3 and C5 => R4C2 <> 7
XY-Wing with R4C2, R4C3 and R2C4 => R1C3 <> 7
Naked Pair 3 and 6 in C3
Line-Cell Interaction of C4 => R6C5 <> 6
XY-Wing with R2C2, R2C4 and R3C1 => R3C4, R4C2 <> 1

Puzzle 2

Naked Triple 1, 4 and 6 in R4
Line-Cell Interaction R3 => R2C5 <> 7
Line-Cell Interaction R5 => R6C3 <> 5
Line-Cell Interaction C4 => R2C5 <> 4
Gemeralized X-Wing with strong links in R5 C5 and weak links in R3C2\ and R1C3\ => R1C3 <> 7
Turbot Fish with 4, strong links in C3 and C4 => R3C6 <> 4
Turbot Fish with 7, strong links in C5 and R5 => R6C3, R7C4 <> 7
Line-Cell Interaction of C4 => R3C6 <> 7
xyz-Wing with an almost naked pair in R5 (R5C2, R5C3), help of R7C4 => R5C4 <> 5
Line-Cell Interaction of R5 => R6C2 <> 5
xyz-Wing with an almost naked pair in C5 (R2C5, R1C5) with R3C6 => R3C5 <> 6
XY-Wing with R3C6, R3C5 and R5C4 => R3C4, R5C7, R6C5 <> 7
Line-Cell Interaction of C5 => R4C7 <> 1
XY-Wing with R6C4, R5C3 and R7C4 => R5C2 <> 5
Naked Pair 4 and 6 in C1
Line-Cell Interaction of R3 => R1C4 <> 5
X-Wing with strong links in R4 R5 and weak links in R4C1\ C7 => R6C3 <> 3
XY-Wing with R3C6, R3C1 and R6C3 => R1C3, R4C1 <> 4
Pyrrhon

Posts: 240
Joined: 26 April 2006