Two solutions?

Advanced methods and approaches for solving Sudoku puzzles

Two solutions?

Postby Paulie1990 » Sat Dec 10, 2005 6:17 pm

In one paper Sudoku, I have reached this in the end:

Code: Select all
+-------+-------+-------+
| 9 3 4 | . 5 . | 7 6 2 |
| 8 6 2 | 4 7 9 | 3 1 5 |
| 1 7 5 | 3 2 6 | 8 9 4 |
+-------+-------+-------+
| 7 8 6 | . 9 . | 5 4 3 |
| 4 5 9 | 7 6 3 | 1 2 8 |
| 3 2 1 | . 4 . | 6 7 9 |
+-------+-------+-------+
| 2 4 3 | 6 1 5 | 9 8 7 |
| 5 1 7 | 9 8 4 | 2 3 6 |
| 6 9 8 | . 3 . | 4 5 1 |
+-------+-------+-------+


IMHO, that has two possible solutions. Maybe I had done some fault before, however. Original Sudoku was:

Code: Select all
+-------+-------+-------+
| . . . | . 5 . | . . . |
| . 6 . | 4 . 9 | . 1 . |
| 1 7 . | . . . | . 9 4 |
+-------+-------+-------+
| . 8 6 | . . . | 5 4 . |
| 4 . . | 7 . 3 | . . 8 |
| . 2 1 | . . . | 6 7 . |
+-------+-------+-------+
| 2 4 . | . . . | . 8 7 |
| . 1 . | 9 . 4 | . 3 . |
| . . . | . 3 . | . . . |
+-------+-------+-------+



Thanks in advance for helping me.
Paulie1990
 
Posts: 4
Joined: 05 December 2005

Re: Two solutions?

Postby QBasicMac » Sat Dec 10, 2005 6:28 pm

Paulie1990 wrote:IMHO, that has two possible solutions. Maybe I had done some fault before, however.


I don't see any fault or any two solutions. Continue solving.

Mac

(If you need help, which I doubt since you got so far correctly, see below)









Immediately you can see r9c4=2 and r6c6=8
After placing them, you can see r9c6=7, r6c4=5, r4c4=1 and r1c6=1
After placing them, you can see r1c4=8 and r4c6=2
That is the only solution
QBasicMac
 
Posts: 441
Joined: 13 July 2005

Re: Two solutions?

Postby Paulie1990 » Sat Dec 10, 2005 6:50 pm

Ha! I am just silly and blind in one person :)
Paulie1990
 
Posts: 4
Joined: 05 December 2005


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