Rarity #40

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Rarity #40

Postby m_b_metcalf » Fri Aug 12, 2022 7:30 am

Code: Select all
 . . . . . . . . .
 . 1 2 . . 3 . . 4
 . 5 3 . . 6 . . 2
 . . . . 7 . . 8 .
 . . . 5 . . 2 . .
 . 6 5 . . 2 . . 7
 . . . . 9 . 1 . .
 . . . 3 . . . 7 .
 . 7 1 . . 4 . . 6  m_b_metcalf, PG 104

..........12..3..4.53..6..2....7..8....5..2...65..2..7....9.1.....3...7..71..4..6
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m_b_metcalf
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Re: Rarity #40

Postby Cenoman » Sat Aug 20, 2022 9:39 pm

Puzzle clearly in the "grey zone" :(
The solution below is made of fishes, AIC's and krakens (i.e. no multi-kraken).
No optimisation, not even a guaranty of no mistake... No PM at each step.
Code: Select all
 +--------------------------+---------------------------+---------------------------+
 |  46789    489    46789   |  124789   12458   15789   |  356789   13569   13589   |
 |  6789     1      2       |  789      58      3       |  56789    569     4       |
 |  4789     5      3       |  14789    148     6       |  789      19      2       |
 +--------------------------+---------------------------+---------------------------+
 |  12349    2349   49      |  1469     7       19      |  34569    8       1359    |
 |  134789   3489   4789    |  5        13468   189     |  2        13469   139     |
 |  13489    6      5       |  1489     1348    2       |  349      1349    7       |
 +--------------------------+---------------------------+---------------------------+
 |  234568   2348   468     |  2678     9       578     |  1        2345    358     |
 |  245689   2489   4689    |  3        12568   158     |  4589     7       589     |
 |  23589    7      1       |  28       258     4       |  3589     2359    6       |
 +--------------------------+---------------------------+---------------------------+

1. JF(8)r2369\c1457 => -8 r1c1457, r5c15, r7c14, r8c157
2. JF(9)r2369\c1478 => -9 r1c1478, r4c148, r5c18, r8c17

Code: Select all
 +-------------------------+-------------------------+-------------------------+
 |  467     489    46789   |  1247    1245   15789   |  3567    1356   13589   |
 |  6789    1      2       |  789     58     3       |  56789   569    4       |
 |  4789    5      3       |  14789   148    6       |  789     19     2       |
 +-------------------------+-------------------------+-------------------------+
 |  1234    2349   49      |  146     7      19      |  3456    8      1359    |
 |  1347    3489   4789    |  5       1346   189     |  2       1346   139     |
 |  13489   6      5       |  1489    1348   2       |  349     1349   7       |
 +-------------------------+-------------------------+-------------------------+
 |  23456   2348   468     |  267     9      578     |  1       2345   358     |
 |  2456    2489   4689    |  3       1256   158     |  45      7      589     |
 |  23589   7      1       |  28      258    4       |  3589    2359   6       |
 +-------------------------+-------------------------+-------------------------+

3. %#*(194=6)r4c346 - ^(6)r5c5 = (6-1)r8c5 = r8c6% - (1=9)r4c6# - (9=4)r4c3* - r5c123 = (46)r5c58^ => -4 r4c127*, -13 r5c5^, -9 r4c29#, -1 r5c6%; lcls, 1 placement
4. (9=4)r6c7 - (4=5)r8c7 - (5=189)r458c6 =>-9r6c4

Code: Select all
 +-------------------------+-------------------------+-------------------------+
 |  467     489    46789   |  1247    1245   1578    |  3567    1356   13589   |
 |  6789    1      2       |  789     58     3       |  56789   569    4       |
 |  4789    5      3       |  14789   148    6       |  789     19     2       |
 +-------------------------+-------------------------+-------------------------+
 |  123     23     49      |  146     7      19      |  356     8      135     |
 |  1347    3489   4789    |  5       46     89      |  2       1346   139     |
 |  1489    6      5       |  148     3      2       |  49      149    7       |
 +-------------------------+-------------------------+-------------------------+
 |  23456   2348   468     |  267     9      578     |  1       2345   358     |
 |  2456    2489   4689    |  3       1256   158     |  45      7      589     |
 |  23589   7      1       |  28      258    4       |  3589    2359   6       |
 +-------------------------+-------------------------+-------------------------+

5. Kraken row (1)r6c148
(1-8)r6c1 = r6c4 - (8=9)r5c6 - (9=1)r4c6
(1)r6c4 - (1=496)r4c346 - r5c5 = (6-1)r8c5 = (1)r8c6
(1)r6c8 - r45c9 = (1)r1c9
=> -1 r1c6

6. Kraken cell (146)r4c4
(1)r4c4 - (1=9)r4c6 - (9=8)r5c6 - r6c4 = (8)r6c1
(4)r4c4 - (4=9)r4c3
(6)r4c4 - r5c5 = (6-1)r8c5 = r8c6 - (1=9)r4c6 - (9=8)r5c6 - r6c4 = (8)r6c1
=> -9 r6c1

7. Kraken cell (468)r7c3
(4)r7c3 - r4c3 = (4)r4c4
(6)r7c3 - r7c4 = r4c4 - (6=4)r5c5
(8)r7c3 - (8=351)r457c9 - (1=94)r6c78
=>-4r6c4

8. Kraken cell (569)r2c8
(5)r2c8 - (5=8)r2c5
(6)r2c8 - r5c8 = r5c5 - r8c5 = (6-7)r7c4 = r7c6 - (7=58)b2p35
(9)r2c8 - (9=578)b2p345
=> -8 r3c45

9. Kraken column (1)r138c5
(1-2)r1c5 = r1c4 - (2=8)r9c4
(1)r3c5 - (1=9)r3c8 - r3c4 = (9)r2c4
(1)r8c5 - r8c6 = r4c6 - (1=8)r6c4
=> -8 r2c4

10. Kraken box (5)b9p234678
||(54-2)b9p24 = r9c8 - (2=8)r9c4
||(5)r78c9 - (5=231)r4c19 - (1=89)r45c6
||(5)r9c78 - (5=28)r9c45
=> -8 r78c6

11. *(9=45)r68c7 - ^(5=1)r8c6 - (1=946)r4c346 - (6=41)r35c5 - (1=9)r3c8* - r1c9 = (9)r8c9^ => -9 r6c8*, -5 r8c9^; 2 placements

Code: Select all
 +-------------------------+----------------------+-----------------------+
 |  467     489    46789   |  1247   1245   578   |  3567   1356   1359   |
 |  6789    1      2       |  79     58     3     |  5678   569    4      |
 |  4789    5      3       |  1479   14     6     |  78     19     2      |
 +-------------------------+----------------------+-----------------------+
 |  123     23     49      |  46     7      19    |  356    8      135    |
 |  1347    3489   4789    |  5      46     89    |  2      1346   13     |
 |  148     6      5       |  18     3      2     |  9      14     7      |
 +-------------------------+----------------------+-----------------------+
 |  23456   2348   468     |  267    9      57    |  1      235    358    |
 |  256     289    689     |  3      1256   15    |  4      7      89     |
 |  2359    7      1       |  28     258    4     |  35     2359   6      |
 +-------------------------+----------------------+-----------------------+

12. (1)r8c5 = r8c6 - (1=946)r4c346 - r5c5 = (6)r8c5 => -25 r8c5
13. (2)r4c1 = (2-5)r8c1 = (5-1)r8c6 = (1)r4c6 => -1 r4c1
14. (5=1)r4c9 - (1=98)r45c6 - r1c6 = (8-5)r2c5 = (5)r1c56 => -5 r1c9
15. (8)r7c9 = (8-9)r8c9 = r1c9 - (9=1)r3c8 - r3c5 = r8c5 - r8c6 = r4c6 -(1=5)r4c9 => -5 r7c9; 20 placements
16. (3=2)r4c1 - r8c1 = (2-9)r8c2 = (9)r9c1 => -3 r9c1; ste
Cenoman
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Re: Rarity #40

Postby DEFISE » Mon Aug 22, 2022 11:08 am

This puzzle is in W8.
My "Few-steps" program with whips[<=10] gives this :

Jellyfish in rows: 8r2369c1457 => -8r1c1 -8r1c4 -8r1c5 -8r1c7 -8r5c1 -8r5c5 -8r7c1 -8r7c4 -8r8c1 -8r8c5 -8r8c7
Jellyfish in rows: 9r2369c1478 => -9r1c1 -9r1c4 -9r1c7 -9r1c8 -9r4c1 -9r4c4 -9r4c7 -9r5c1 -9r5c8 -9r8c1 -9r8c7

whip[6]: c5n6{r5 r8}- r8n1{c5 c6}- r4c6{n1 n9}- r4c3{n9 n4}- r5n4{c3 c8}- r5n6{c8 .} => -3r5c5
Single(s): 3r6c5

whip[10]: b5n8{r6c4 r5c6}- b5n9{r5c6 r4c6}- r4c3{n9 n4}- r5n4{c3 c8}- b6n6{r5c8 r4c7}- r4n5{c7 c9}- b6n3{r4c9 r5c9}-
r7c9{n3 n8}- r7c3{n8 n6}- c4n6{r7 .} => -4r6c4

Hidden pairs: 46b5p15 => -1r4c4 -1r5c5

whip[5]: r8n1{c5 c6}- r4c6{n1 n9}- r4c3{n9 n4}- r4c4{n4 n6}- c5n6{r5 .} => -2r8c5
Box/Line: 2r8b7 => -2r7c1 -2r7c2 -2r9c1

whip[8]: r7n2{c8 c4}- b8n6{r7c4 r8c5}- r8n1{c5 c6}- b5n1{r4c6 r6c4}- r6c8{n1 n9}- r3c8{n9 n1}- r1n1{c8 c5}- r1n2{c5 .} => -4r7c8
Single(s): 4r8c7, 9r6c7
Box/Line: 9c4b2 => -9r1c6

whip[7]: r9c4{n2 n8}- r9c5{n8 n5}- r9c7{n5 n3}- r7c8{n3 n5}- r2n5{c8 c7}- r4c7{n5 n6}- c4n6{r4 .} => -2r7c4
Single(s): 2r7c8

whip[10]: c6n7{r1 r7}- r7c4{n7 n6}- r4c4{n6 n4}- r4c3{n4 n9}- r4c6{n9 n1}- r8n1{c6 c5}- c5n5{r8 r9}- c8n5{r9 r2}- c7n5{r2 r4}- r4n6{c7 .} => -5r1c6
Box/Line: 5c6b8 => -5r8c5 -5r9c5
Naked pairs: 28r9c45 => -8r9c1 -8r9c7
Box/Line: 8r9b8 => -8r7c6 -8r8c6
Box/Line: 8c7b3 => -8r1c9

whip[8]: r8c5{n1 n6}- r5n6{c5 c8}- r5c5{n6 n4}- r3c5{n4 n8}- r1c6{n8 n7}- r2c4{n7 n9}- r2c8{n9 n5}- r2c5{n5 .} => -1r1c5

whip[10]: c5n1{r8 r3}- r3c8{n1 n9}- c9n9{r1 r8}- r8n5{c9 c1}- c1n2{r8 r4}- r4n1{c1 c9}- r4n5{c9 c7}- r9n5{c7 c8}- r2c8{n5 n6}- c7n6{r2 .} => -1r8c6
Single(s): 5r8c6, 7r7c6, 6r7c4, 4r4c4, 9r4c3, 1r4c6, 8r1c6, 5r2c5, 6r5c5, 9r5c6, 8r6c4, 1r8c5, 4r3c5, 2r1c5, 2r9c4, 8r9c5, 6r4c7, 5r4c9, 5r7c1
Box/Line: 3r4b4 => -3r5c1 -3r5c2
Naked pairs: 78c7r23 => -7r1c7

whip[3]: r4c1{n3 n2}- r8n2{c1 c2}- b7n9{r8c2 .} => -3r9c1
STTE
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