The New Sudoku Players' Forum

[abrooks051]

Hello,I have played for several years, and I love it. However, I found a slight "glitch". After playing several thousand games it occurred to me that I never solved a game where any one line, vertical or horizontal, was solved with the numbers going in series. (eg. 1-9 or 9-1). Am I alone here??

[Leren]

Try solving this puzzle. The first row in the solution should be 123456789

Code: Select all

1........
......4.6
4...18325
8...3.24.
........7
....2...8
23...58..
7.49.....
..9.....3

Leren

<edit>

Just thinking about this a bit further, the number of permutations of digits in a row or column is 9 ! (9 Factorial = 9*8*7*6*5*4*3*2*1) = 362,880

You have 9*2*2 = 36 ways of being satisfied, so the probability that a random puzzle that meets your requirements is 362,880/36 = 10,080

Maybe you just haven't 'solved enough puzzles yet.

Leren

[abrooks051]

Leren,
Thank you for the help. Math was never one of my best subjects. I thought I had done quite a few games but it seems I have quite a few to go.

[Leren]

If you solve 1 puzzle a day you should find a suitable puzzle on average about once every 27.6 years !

However you can always swap the clues around in any puzzle to get what you want. Here's how:

In the example puzzle I gave you the bottom row solves to 689241573. Now suppose you wanted to see a solved puzzle with the bottom row solved to 987654321

689241573 is what you have in the bottom row.
987654321 is what you want in the bottom row.

All you have to do to get from what you have to what you want is to swap each clue from the top line to the bottom line. So if the puzzle has a clue 6 change that clue to 9 leave 8 as 8, change 9 to 7, 2 to 6 etc all the way along the 2 lines.

The puzzle will solve exactly the same way as before but you will find that the bottom row is 987654321 !

Leren

[m_b_metcalf]

Here' a very hard one with six empty rows and columns to keep you guessing:

Code: Select all

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

Regards,

Mike Metcalf

[abrooks051]

Leren,
I'm 63 so I guess I better do more than one puzzle a day
Alan

[Yogi]

And here's another: 1...5.......1...6...4...2...7...3...5...2...8...6...7...6...3...3...7.......4...1

PC.jpg (22.06 KiB) Viewed 1439 times

[Leren]

Hi Yogi, just tried your puzzle and it solved (apart from basic mark-offs and singles), with just one naked triple in Column 5. You really like those naked triples !

Leren

[Leren]

I just tried solving Mike's puzzle by normal methods. It wasn't too hard, but I noticed that there were a lot of single digit moves on 7. That suggested template analysis.

Not too surprisingly the puzzle solved with a single non-basic move : single digit template analysis on 7 :

Code: Select all

*--------------------------------------------------------------*
| 2567 *7-256 4      | 8     5679  3      | 1     57    29     |
| 57    8     9      | 2    *7-5   1      | 4     3     6      |
| 1     2567  3      | 4679  45679 4679   |*7-5   8     29     |
|--------------------+--------------------+--------------------|
| 367   4     5      | 67    13    678    | 9     2     18     |
| 23679 2679 *7-6    | 45679 13    46789  | 57    457   18     |
| 79    1     8      | 4579  2     479    | 3     6     7      |
|--------------------+--------------------+--------------------|
| 45678 5679  67     | 4679  46789 4679   | 2     1    *3-45   |
|*7-48  3     2      | 1     478   5      | 6     9     47     |
| 4679  679   1      | 3     4679  2      | 8    *7-45  457    |
*--------------------------------------------------------------*

Single digit template analysis on 7 => r1c2, r2c5, r3c7, r5c3, r7c9, r8c1 and r9c8 = 7; stte

Here's the solution:

Code: Select all

*--------------------------*
| 6 7 4  | 8 9 3  | 1 5 2  |
| 5 8 9  | 2 7 1  | 4 3 6  |
| 1 2 3  | 4 5 6  | 7 8 9  |
|--------+--------+--------|
| 3 4 5  | 6 1 7  | 9 2 8  |
| 2 6 7  | 9 3 8  | 5 4 1  |
| 9 1 8  | 5 2 4  | 3 6 7  |
|--------+--------+--------|
| 8 5 6  | 7 4 9  | 2 1 3  |
| 7 3 2  | 1 8 5  | 6 9 4  |
| 4 9 1  | 3 6 2  | 8 7 5  |
*--------------------------*

Row 4 will keep abrooks051 happy and the template solution will keep people who like computer solutions happy.

Leren

[Yogi]

Actually, the puzzle I posted was one from a list of 851 puzzles of that pattern and it seems that they are all rated as MILD, whatever that means. I'm getting a bit bored with them myself. I just happened to notice that the solution included a numerical 1-9.

[Pat]

Actually, the puzzle I posted was one from a list of 851 puzzles of that pattern and it seems that they are all rated as MILD, whatever that means. I'm getting a bit bored with them myself. I just happened to notice that the solution included a numerical 1-9.

{ off-topic }

"mild" ? all ??

Code: Select all

 1 . . | . 5 . | . . .
 . . . | 2 . . | . 3 .
 . . 4 | . . . | 6 . .
-------+-------+------
 . 9 . | . . 3 | . . .
 6 . . | . 7 . | . . 5
 . . . | 1 . . | . 7 .
-------+-------+------
 . . 1 | . . . | 2 . .
 . 3 . | . . 9 | . . .
 . . . | . 6 . | . . 1


1...5.......2...3...4...6...9...3...6...7...5...1...7...1...2...3...9.......6...1
[ play ]

[Yogi]

My Reply in Help With Puzzles:
forum.enjoysudoku.com/a-tricky-one-t33110.html