Does this HARD puzzle have multiple solutions?

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Does this HARD puzzle have multiple solutions?

Postby paulcoz » Fri Jun 30, 2006 11:23 am

Hi,

This is a HARD puzzle produced by the Pappocom program:

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

I have almost finished the puzzle (only ten empty squares left) but have reached a point where it seems that the puzzle cannot be solved by logic. Can someone please tell me if it has multiple solutions (which I believe it does)?

Thanks!
Paul.
paulcoz
 
Posts: 16
Joined: 17 December 2005

Postby ravel » Fri Jun 30, 2006 11:36 am

The puzzle you posted:
Code: Select all
------------
...|..4|7..
5..|..3|...
..3|.6.|.5.
------------
3.5|...|9.2
...|...|.3.
7.9|...|..6
------------
.9.|.1.|2..
...|2..|..7
..8|6..|...
------------
has 712 solutions. But i am sure that Pappocoms software would not create multiple solution puzzles, so i suppose you made a mistake when you copied it. Note that for symmetry there are 2 clues missing in boxes 4 and 6.
PS: I only found this symmetrical one with your givens, but it is easy (only box/line interactions)
Code: Select all
------------
...|..4|7..
5..|..3|...
..3|.6.|.5.
------------
3.5|...|9.2
.1.|...|.3.
7.9|...|4.6
------------
.9.|.1.|2..
...|2..|..7
..8|6..|...
------------
ravel
 
Posts: 998
Joined: 21 February 2006

Postby QBasicMac » Fri Jun 30, 2006 10:05 pm

ravel wrote:I only found this symmetrical one with your givens


Good work! Even though I love figuring out what missing clues were probably there, I didn't relish translating that problem description. So I wasn't disappointed.:)

Mac
QBasicMac
 
Posts: 441
Joined: 13 July 2005

Postby paulcoz » Sat Jul 01, 2006 7:53 am

Thankyou!

I was wondering why I found this particular puzzle so difficult...it makes sense what you said about the symmetry and missing numbers.

Regards,
Paul.
paulcoz
 
Posts: 16
Joined: 17 December 2005


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