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wellbeback
 Post subject: Vanilla Killa 1
PostPosted: Sun Jan 25, 2015 10:38 pm 
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Joined: Tue Jun 16, 2009 9:31 pm
Posts: 282
Location: California, out of London
While Ed's on his summer vacation - here's something to be going on with. The term "vanilla Killer" is one udosuk came up with.
For some reason the text code string below generated by JSudoku cannot be imported by SudokuSolver [Moderator edit: see next post for SS code].
SS gives it a rating of 0.8. And while it is true no fancy moves are needed to solve it - I found some of the moves difficult to spot.

Image

Code: 3x3:2:k:1038:1038:15:16:17:18:19:1542:20:21:7681:7681:22:23:24:25:26:1542:7681:27:28:7681:4106:29:30:1542:31:32:33:34:35:4106:36:37:5892:38:39:40:41:2823:42:43:44:5892:5892:45:46:2823:47:2823:2823:1801:48:49:50:2818:2818:51:52:53:54:1801:1801:2818:55:2818:56:57:1548:58:6157:6157:59:60:61:1548:1548:62:63:64:6157:
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Ed
 Post subject: Re: Vanilla Killa 1
PostPosted: Mon Jan 26, 2015 6:57 am 
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Joined: Wed Apr 16, 2008 1:16 am
Posts: 1043
Location: Sydney, Australia
Thanks wellbeback! I'll be back with a new Assassin this coming Thur/Friday as normal.

Here's the SS code for this Vanilla Killa 1
SS code:
3x3::k:1024:1024:0000:0000:0000:0000:0000:1538:0000:0000:7681:7681:0000:0000:0000:0000:0000:1538:7681:0000:0000:7681:4099:0000:0000:1538:0000:0000:0000:0000:0000:4099:0000:0000:5897:0000:0000:0000:0000:2820:0000:0000:0000:5897:5897:0000:0000:2820:0000:2820:2820:1797:0000:0000:0000:2822:2822:0000:0000:0000:0000:1797:1797:2822:0000:2822:0000:0000:1543:0000:6152:6152:0000:0000:0000:1543:1543:0000:0000:0000:6152:
Cheers
Ed
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Andrew
 Post subject: Re: Vanilla Killa 1
PostPosted: Mon Jan 26, 2015 10:56 pm 
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Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1894
Location: Lethbridge, Alberta, Canada
Thanks wellbeback for a fun puzzle. I assume the name Vanilla Killa refers to the fact that there aren't any 45s which can be used for this puzzle.

It was a first for me in two ways. It was the first time I've coloured a killer only using two colours for the cages, and in this case without any colours even touching at cell corners. I think it was also the first killer where all the cages each have only one possibly combination; that was clearly necessary with only 31 of the 81 cells in cages.


wellbeback wrote:
And while it is true no fancy moves are needed to solve it - I found some of the moves difficult to spot.
Maybe I kept better track of eliminations from the hidden windows? I didn't have any difficult moves. Indeed I wondered whether this puzzle could be solved as a Paper Solvable, although I didn't try to do it that way.

Here is my walkthrough for Vanilla Killa 1:
This is a Windoku killer. The four windows are numbered W1, W2, W3 and W4; the hidden windows will give their cells, for example hidden window R159C159.

Prelims

a) R1C12 = {13}
b) R34C5 = {79}
c) 6(3) cage at R1C8 = {123}
d) 23(3) cage at R4C8 = {689}
e) 7(3) cage at R6C7 = {124}
f) 6(3) cage at R8C6 = {123}
g) 24(3) cage at R8C8 = {789}
h) 30(4) cage at R2C2 = {6789}
i) 11(4) cage at R5C4 = {1235}
j) 11(4) cage at R7C2 = {1235}

Steps resulting from Prelims
1a. Naked pair {13} in R1C12, locked for R1 and N1 -> R1C8 = 2, placed for hidden window R159C678
1b. Naked triple {123} in 6(3) cage at R1C8, locked for N3
1c. Naked pair {79} in R34C5, locked for C5 and hidden window R234C159
1d. Naked triple {689} in 23(3) cage at R4C8, locked for N6
1e. Naked triple {123} in 6(3) cage at R8C6, locked for N8
1f. Naked triple {789} in 24(3) cage at R8C8, locked for N9
1g. Naked quad {1235} in 11(4) cage at R7C2, locked for N7
1h. Naked quad {1235} in R678C3 + R7C2, locked for W3

[Directly following steps]
2a. Naked triple {6789} in 30(4) cage at R2C2, 7,9 locked for W1
2b. 30(4) cage at R2C2 = {6789}, CPE no 6,8 in R3C23 using R3 and N1
2c. 7(3) cage at R6C7 = {124}, CPE no 1,2,4 in R789C7, also CPE no 4 in R7C6 using R7 and W4
2d. Naked triple {356} in R789C7, locked for C7 and N9
2e. Naked pair {14} in R79C8, locked for C8 and N9 -> R3C8 = 3, placed for W2, R2C9 = 1, placed for hidden window R234C159, R7C9 = 2, placed for hidden window R678C159
2e. R4C7 = 2 (hidden single in C7), placed for W2
2f. 8,9 in C7 only in R123C7, locked for N3

3. R8C3 = 2 (hidden single in N7)
3a. 11(4) cage at R5C4 = {1235}, 2 locked for N5

4. R7C6 + R8C8 = {89} (hidden pair in W4), R6C8 = 7 (hidden single in W4)
4a. 7 in N9 only in R89C9, locked for C9
4b. Naked pair{14} in R56C7, locked for C7 and N6
4c. Naked pair {35} in R46C9, locked for C9
4d. Naked pair {46} in R13C9, locked for C9 and N3 -> R2C8 = 5, placed for W3

5. Naked pair {14} in R6C7 + R7C8, locked for W4 -> R8C6 = 3, placed for W4
5a. R9C7 = 3 (hidden single in R9)
5b. Naked pair {12} in R9C45, locked for R9 -> R9C8 = 4, placed for hidden window R159C678, R7C8 = 1, R56C7 = [14]

6. Naked pair {35} in R7C23, locked for R7, N7 and W3 -> R78C7 = [65], R6C3 = 1, R8C1 = 1
[With hindsight, I noticed that I’d failed to add R8C7 placed for W4; this doesn't matter after step 7a.]
6a. 11(4) cage at R5C4 = {1235}, 3,5 locked for N5
[This was done before the next step so that it wasn’t necessary to use hidden window R159C159 for R1.]
6b. R1C1 = 3, R1C2 = 1, placed for hidden window R159C234
6c. R9C4 = 2, placed for hidden window R159C234, R9C5 = 1
6d. R5C1 = 2 (hidden single in R5)
6e. R3C26 = [21] (hidden singles in R3)
6f. R4C4 = 1 (hidden single in R4/W1)

7. Naked triple {235} in R6C569, locked for R6
7a. R4C1 = 5 (hidden single in C1), R4C9 = 3, R6C9 = 5, R6C56 = [32], R5C4 = 5
7b. R3C3 = 5 (hidden single in R3/W1), R7C23 = [53]

8. R12C5 = [52] (hidden singles in C5), R9C6 = 5 (hidden single in C6)
8a. 6 in R9 only in R9C123, locked for N7
8b. 7 in N8 only in R78C4, locked for C4

9. R2C4 = 3 (hidden single in R2)
9a. R5C2 = 3 (hidden single in R5)

10. R5C3 = 7 (hidden single in N4)
10a. R5C5 = 4 (hidden single in R5), placed for hidden window R159C159
10b. R1C9 = 6, placed for hidden window R159C159
10c. R3C9 = 4, placed for hidden window R234C159

11. Naked pair {68} in R23C1, locked for C1 and N1

12. R2C23 = [79], placed for W1
12a. R2C7 = 8, placed for W2, R23C1 = [68], R3C4 = 6, placed for W1
12b. R7C5 = 8, R7C6 = 9, placed for W4 -> R8C8 = 8

and the rest is naked singles, without using the windows.

Solution: 
+-------+-------+-------+
| 3 1 4 | 9 5 8 | 7 2 6 |
| 6 7 9 | 3 2 4 | 8 5 1 |
| 8 2 5 | 6 7 1 | 9 3 4 |
+-------+-------+-------+
| 5 4 8 | 1 9 7 | 2 6 3 |
| 2 3 7 | 5 4 6 | 1 9 8 |
| 9 6 1 | 8 3 2 | 4 7 5 |
+-------+-------+-------+
| 4 5 3 | 7 8 9 | 6 1 2 |
| 1 9 2 | 4 6 3 | 5 8 7 |
| 7 8 6 | 2 1 5 | 3 4 9 |
+-------+-------+-------+
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wellbeback
 Post subject: Re: Vanilla Killa 1
PostPosted: Sat Jan 31, 2015 6:36 pm 
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Joined: Tue Jun 16, 2009 9:31 pm
Posts: 282
Location: California, out of London
Thanks for the WT Andrew. You did use the hidden windows more effectively than me.

The term 'Vanilla' had to be explained to me. I thought it just meant 'straightforward'. But it actually refers to the original 'given cell' Sudoku. That of course can be thought of as a zero-killer with a number of single-cell cages. So a 'Vanilla Killer' is between that and a normal killer. I.e., where the cages are multi-cell - but you still know all the numbers in each cage. We had a number of them on the old DJape site. I explicitly built it that way by generating a grid and then adding and removing a variety of cages with forced contents until only a single solution was possible.


Last edited by wellbeback on Sat Jan 31, 2015 8:19 pm, edited 1 time in total.

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