SudokuSolver Forum

A forum for Sudoku enthusiasts to share puzzles, techniques and software
It is currently Sat Apr 27, 2024 9:50 pm

All times are UTC




Post new topic Reply to topic  [ 5 posts ] 
Author Message
PostPosted: Tue Jan 03, 2012 1:07 pm 
Offline
Grand Master
Grand Master

Joined: Wed Apr 30, 2008 9:45 pm
Posts: 694
Location: Saudi Arabia
Non-Consecutive Latin Square 7 X Killer

This one rates as a human solvable in style - JS has a lot of trouble with it.

It is Non-Consecutive.
It has two Diagonals.
No heptets.
Two cages are disjoint.



Image


JS Code (corrected):

1x7:5:k:5121:5:6:5121:7:8:5121:9:5121:10:11:12:5121:13:14:15:3842:16:3842:17:2563:18:19:20:3842:21:22:2563:23:24:3842:5380:3842:25:2563:26:5380:27:28:29:5380:30:5380:31:32:33:34:35:5380:


Solution:


4152637
2637415
7415263
5263741
3741526
1526374
6374152


Last edited by HATMAN on Wed Jan 04, 2012 1:03 pm, edited 1 time in total.

Top
 Profile  
Reply with quote  
PostPosted: Tue Jan 03, 2012 8:10 pm 
Offline
Master
Master
User avatar

Joined: Thu Oct 07, 2010 3:21 pm
Posts: 170
Lovely puzzle, but somehow the JS Code doesn't work for me.

This is a JS Code that works:
1x7:5:k:5121:5:6:5121:7:8:5121:9:5121:10:11:12:5121:13:14:15:3842:16:3842:17:2563:18:19:20:3842:21:22:2563:23:24:3842:5380:3842:25:2563:26:5380:27:28:29:5380:30:5380:31:32:33:34:35:5380:


A quick fire 5 steps walkthrough:
1:
15(5) = {12345}
D\,D/: 20(5),21(5) each must have exactly one set of {67}
--> 20(5) = {12467}, 21(5) = {12567/13467}

2:
D\ + D/ = 28 + 28 = 56 = 15(5) + 20(5) + 21(5)
--> R4C4 = R15C4
NC: R145C4 = [231/253/451] (NC: R5C35 <> [2])
--> [1] of 20(5) locked in D\12+D/12
--> 15(5),20(5) each has one [1] of D\,D/
--> D\67+D/67 <> [1]
21(5): R5C4 = [1]

3:
Hidden pair 15(5): R3C35 = {12} (R3,R24C35)
15(5): D\45 & D/45 must each have two of {345}
NC: R4C35 <> {345}, = {67} (R4)
NC: R14C4 = [23] (step 2)
--> R5C35 = {45} (R5,R6C35)
21(5): D\67+D/67 = {2567} (step 1)

4:
20(5): D\12+D/12 = {1467} (step 1)
[2] of R2 locked in R2C17
NC: R2C17 <> {12} ([1] in D\12+D/12), <> [1]
--> [1] of R2 locked in R2C26 (R1C17)
--> [1] of C7 locked in R46C7 (NC: R5C7 <> [2])
--> 10(3) = [316/613] (C7)

5:
Hidden single C1: R6C1 = [1]
--> [3] of R6 locked in R6C35 (NC: R6C4 <> [4])
Hidden single R6: R6C7 = [4]
NC: C7 = [7531642]

Singles and simple NC placements from here.


Top
 Profile  
Reply with quote  
PostPosted: Sun Jan 08, 2012 2:28 pm 
Offline
Grand Master
Grand Master

Joined: Wed Apr 30, 2008 9:45 pm
Posts: 694
Location: Saudi Arabia
I went about it slightly differently
After the diagonal overlap r145c4 <> [154] NC therefore the 21(5) <> {13467} as this leaves no 4 for the 15(5) hence 21(5) = {12567}
3 of both diagonals is in 15(5) hence r145c4 = [231]

After that I sort of plodded on.


Top
 Profile  
Reply with quote  
PostPosted: Sun Jan 08, 2012 7:50 pm 
Offline
Master
Master
User avatar

Joined: Thu Oct 07, 2010 3:21 pm
Posts: 170
HATMAN wrote:
I went about it slightly differently
Spoilers:
After the diagonal overlap r145c4 <> [154] NC therefore the 21(5) <> {13467} as this leaves no 4 for the 15(5) hence 21(5) = {12567}
3 of both diagonals is in 15(5) hence r145c4 = [231]

After that I sort of plodded on.

I think there is a logical gap in your reasoning?
Explanation:
At that stage R145C4 might still be [451], which allows 21(5) to be {13467} having {3467} in D\67+D/67, and 20(5) having {1267} in D\12+D/12.


Top
 Profile  
Reply with quote  
PostPosted: Mon Jan 09, 2012 3:16 pm 
Offline
Grand Master
Grand Master

Joined: Wed Apr 30, 2008 9:45 pm
Posts: 694
Location: Saudi Arabia
Arghh!


Top
 Profile  
Reply with quote  
Display posts from previous:  Sort by  
Post new topic Reply to topic  [ 5 posts ] 

All times are UTC


Who is online

Users browsing this forum: No registered users and 73 guests


You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

Search for:
Jump to:  
Powered by phpBB® Forum Software © phpBB Group