The New Sudoku Players' Forum

[shye]

Code: Select all

+-------+-------+-------+
| . . 6 | . . . | 4 . . |
| . 1 . | . . . | . 5 . |
| 2 . . | 6 . 5 | . . 1 |
+-------+-------+-------+
| 4 . . | 5 . 7 | . . 3 |
| 9 . . | . . . | . . 2 |
| 3 . 1 | . . . | 5 . 9 |
+-------+-------+-------+
| 6 . . | 2 3 4 | . . 5 |
| . 3 . | . . . | . 6 . |
| . . 5 | . . . | 3 . . |
+-------+-------+-------+
..6...4...1.....5.2..6.5..14..5.7..39.......23.1...5.96..234..5.3.....6...5...3..

estimated rating: 7.2

[P.O.]

basics:

Hidden Text: Show

Code: Select all

( n5r8c5   n5r5c2   n5r1c1   n6r2c9   n9r4c5 )

intersections:
((((4 0) (8 9 9) (4 7 8)) ((4 0) (9 9 9) (4 7 8)))
 (((2 0) (6 5 5) (2 4 6 8)) ((2 0) (6 6 5) (2 6 8)))
 (((1 0) (7 7 9) (1 7 8 9)) ((1 0) (7 8 9) (1 7 8 9)))
 (((1 0) (5 4 5) (1 3 4 8)) ((1 0) (5 5 5) (1 4 6 8)) ((1 0) (5 6 5) (1 3 6 8))))

QUAD BOX: ((7 2 7) (7 8 9)) ((7 3 7) (7 8 9)) ((8 1 7) (1 7 8)) ((9 1 7) (1 7 8))
(((8 3 7) (2 4 7 8 9)) ((9 2 7) (2 4 7 8 9)))

intersection:
((((9 0) (7 2 7) (7 8 9)) ((9 0) (7 3 7) (7 8 9))))

QUAD COL: ((4 8 6) (1 8)) ((5 8 6) (4 7 8)) ((6 8 6) (4 7 8)) ((7 8 9) (1 7 8))
(((1 8 3) (2 3 7 8 9)) ((3 8 3) (3 7 8 9)) ((9 8 9) (2 7 8 9)))

QUAD BOX: ((7 7 9) (1 7 8)) ((7 8 9) (1 7 8)) ((8 9 9) (4 7 8)) ((9 9 9) (4 7 8))
(((8 7 9) (2 7 8 9)))


Code: Select all

78r2c1 => r2c7 <> 7,8,9
 r2c1=7 - b7n7{r89c1 r7c23} - b9n7{r7c78 r89c9} - 89r1c29 - b2n9{r1c46 r2c46}
 r2c1=8 - b7n8{r89c1 r7c23} - b9n8{r7c78 r89c9} - 79r1c29 - b2n9{r1c46 r2c46}
 
ste.


with templates it is enough to initialize the puzzle to get the solution:

Hidden Text: Show

Code: Select all

#VT: (20 4 4 10 1 4 30 276 32)
Cells: nil nil nil nil nil nil nil nil nil
Candidates:(43 44 70 80) (47) nil (80) nil nil (2 16) (2 16) nil
EraseCC: ( n9r1c2 )

#VT: (20 4 4 10 1 4 30 276 8)
Cells: nil nil nil nil nil nil nil nil nil
Candidates:nil nil nil nil nil nil nil nil (16)
EraseCC: ( n2r2c7   n2r9c8   n2r8c3   n4r8c9   n4r9c2   n9r7c3
           n8r4c3   n1r4c8   n7r5c3   n6r6c2   n2r4c2   n6r4c7
           n8r5c7   n4r5c8   n7r6c8   n8r7c8   n7r9c9   n3r1c8
           n8r1c9   n9r3c8   n7r7c2   n1r7c7   n9r8c7   n8r3c2
           n7r3c7   n7r2c1   n4r3c5   n8r2c5   n3r3c3   n2r6c5
           n8r6c6   n1r8c6   n6r9c5   n9r9c6   n2r1c6   n4r2c3
           n3r2c6   n1r5c5   n6r5c6   n4r6c4   n8r8c1   n7r8c4
           n1r9c1   n8r9c4   n1r1c4   n7r1c5   n9r2c4   n3r5c4 )
5 9 6   1 7 2   4 3 8
7 1 4   9 8 3   2 5 6
2 8 3   6 4 5   7 9 1
4 2 8   5 9 7   6 1 3
9 5 7   3 1 6   8 4 2
3 6 1   4 2 8   5 7 9
6 7 9   2 3 4   1 8 5
8 3 2   7 5 1   9 6 4
1 4 5   8 6 9   3 2 7


[eleven]

Code: Select all

+----------------------+----------------------+----------------------+
| 5      9-78   6      | 13789  1278   12389  | 4      239   f78     |
|a78     1      34789  | 34789  2478   2389   | 29-78  5      6      |
| 2      4789   34789  | 6      478    5      | 789    39     1      |
+----------------------+----------------------+----------------------+
| 4      268    28     | 5      9      7      | 168    18     3      |
| 9      5      78     | 1348   1468   1368   | 678    478    2      |
| 3      678    1      | 48     2468   268    | 5      478    9      |
+----------------------+----------------------+----------------------+
| 6     c789   c789    | 2      3      4      |d178   d178    5      |
|b178    3      24     | 1789   5      189    | 29     6     e478    |
|b178    24     5      | 1789   1678   1689   | 3      29    e478    |
+----------------------+----------------------+----------------------+

Remote pair 78 (x,y) r2c1,r1c9 => -78r1c2,r2c7
(x=y)r1c2 - r89c1 = r7c23 - r7c78 = r89c9 - (y=x)r1c9 => -xyr1c2,r2c7, stte

[Cenoman]

It's done

[pjb]

Nice one for fish:

Sashimi mutant swordfish of 7s (r7c19\r2b79), fin at r1c9, r2c1 => -7 r1c2, r2c7

Sashimi mutant swordfish of 8s (r7c19\r2b79), fin at r1c9, r2c1 => -8 r1c2, r2c7; btte

Phil

[yzfwsf]

It is a Grouped Continuous Nice Loop and now my solver can handle all eliminations correctly.
Grouped Continuous Nice Loop: 7r7c78 = r7c23 - r89c1 = (7-8)r2c1 = r89c1 - r7c23 = r7c78 - r89c9 = (8-7)r1c9 = 7r89c9 => r8c37,r9c28,r1c2,r2c7<>7,r8c37,r9c28,r1c2,r2c7<>8