another two player game

Everything about Sudoku that doesn't fit in one of the other sections

Postby ab » Tue Mar 28, 2006 6:49 pm

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

1. R7C6 1 R4C3 6
2. R6C7 2 R5C5 6
3. R3C4 4 R1C8 6
4. R9C6 6 R9C2 8
5. R4C1 7 R8C1 6
6. R1C4 3 R2C9 9
7. R1C1 5 R6C5 3
8. R5C6 2 R5C4 7


We're both going for easy points at the moment. it'll probably mean the final puzzle is easy. I wonder if there are better long term strategies though. I have to admit it was probably me that started the easy points grab ball rolling.
ab
 
Posts: 451
Joined: 06 September 2005

Postby evert » Wed Mar 29, 2006 2:42 pm

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

1. R7C6 1+ R4C3 6
2. R6C7 2  R5C5 6+
3. R3C4 4  R1C8 6+
4. R9C6 6+ R9C2 8
5. R4C1 7  R8C1 6
6. R1C4 3  R2C9 9
7. R1C1 5+ R6C5 3+
8. R5C6 2  R5C4 7
9. R9C9 4

I find it difficult to keep trail of orbits and I'd like to introduce the '+' for indicating the start of a new orbit.
In fact this can be deduced from the notation we're already using. (The same holds of course for '+' in chess notation.)
I reconstructed the '+'s for the beginning moves. Very time consuming...

Do you agree that R1C9 and R9C1 are not part of the orbit R1C1-R9C9?
evert
 
Posts: 186
Joined: 26 August 2005

Postby evert » Wed Mar 29, 2006 2:59 pm

ab wrote:We're both going for easy points at the moment. it'll probably mean the final puzzle is easy.

Eliminate easy points! Let's say a point is not given for a cell that was forced by singles. Or even: a cell forced by singles costs you a point. Just an idea...

ab wrote:I wonder if there are better long term strategies though.

All our points are 'dead points'. For every number I place I gain a point but after that the fact that the number was 'mine' plays no role anymore. This has something to do with the appearent lack of long term strategies.
evert
 
Posts: 186
Joined: 26 August 2005

Postby ab » Wed Mar 29, 2006 4:59 pm

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

1. R7C6 1+ R4C3 6
2. R6C7 2  R5C5 6+
3. R3C4 4  R1C8 6+
4. R9C6 6+ R9C2 8
5. R4C1 7  R8C1 6
6. R1C4 3  R2C9 9
7. R1C1 5+ R6C5 3+
8. R5C6 2  R5C4 7
9. R9C9 4 R4C5 8

Do you agree that R1C9 and R9C1 are not part of the orbit R1C1-R9C9?


I agree about those orbits.

The idea of not scoring singles is interesting. Of course by the time the game is complete they may have become singles. I think we should keep the scoring the same for now though.
ab
 
Posts: 451
Joined: 06 September 2005

Postby evert » Wed Mar 29, 2006 7:01 pm

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

1. R7C6 1+ R4C3 6
2. R6C7 2  R5C5 6+
3. R3C4 4  R1C8 6+
4. R9C6 6+ R9C2 8
5. R4C1 7  R8C1 6
6. R1C4 3  R2C9 9
7. R1C1 5+ R6C5 3+
8. R5C6 2  R5C4 7
9. R9C9 4  R4C5 8
10. R4C7 4+
evert
 
Posts: 186
Joined: 26 August 2005

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