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Puzzle 11/08/19: ~ Advanced

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daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Fri Aug 19, 2011 9:10 pm Post subject: Puzzle 11/08/19: ~ Advanced

Code:

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

Play this puzzle online at the Daily Sudoku site

Marty R.

Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

Posted: Sun Aug 21, 2011 4:06 pm Post subject:

This was stubborn. Skyscraper, c68; r1c7, r3c4<>3 + transport; r2c7<>3 Skyscraper, r36; r1c7, r4c9<>7 Fin transport; r2c4<>6 XY-Wing (364); r2c79<>4

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Sun Aug 21, 2011 6:01 pm Post subject:

Given the current discussions on Swordfish.

Code:

+--------------------------------------------------------------+
| 346 2 1 | 9 67 36 | 3467 8 5 |
| 346 9 7 | 346 8 5 | 1346 2 146 |
| 5 8 46 | 3467 2 1 | 9 37 467 |
|--------------------+--------------------+--------------------|
| 2 346 368 | 5 67 9 | 1478 17 147 |
| 1 7 5 | 8 3 4 | 2 6 9 |
| 68 46 9 | 67 1 2 | 478 5 3 |
|--------------------+--------------------+--------------------|
| 48 5 48 | 136 9 36 | 1367 137 2 |
| 9 1 236 | 236 5 7 | 36 4 8 |
| 7 36 236 | 1236 4 8 | 5 9 16 |
+--------------------------------------------------------------+
# 61 eliminations remain

c68r7 Skyscraper <> 3 r1c7,r3c4 -or-
r3c6 2-String Kite <> 3 r7c8
-plus-
c49r3 Skyscraper <> 7 r4c5,r6c7 -or-
c59r4 Skyscraper <> 7 r1c7,r3c4 -or-
r16c7 Skyscraper <> 7 r3c4,r4c5 -or-
Colors <> 7 r1c7,r3c4,r4c5,r6c7

<48+6> XY-Wing r6c7/r1c7+r6c1 <> 6 r1c1

*-----------------------------------------------------------*
| 34 2 1 | 9 7 36 | 46 8 5 |
| 346 9 7 | 346 8 5 | 146 2 146 |
| 5 8 46 | 46 2 1 | 9 3 7 |
|-------------------+-------------------+-------------------|
| 2 34 38 | 5 6 9 | 1478 17 14 |
| 1 7 5 | 8 3 4 | 2 6 9 |
| 68 46 9 | 7 1 2 | 48 5 3 |
|-------------------+-------------------+-------------------|
| 48 5 48 | 136 9 36 | 1367 17 2 |
| 9 1 236 | 236 5 7 | 36 4 8 |
| 7 36 236 | 1236 4 8 | 5 9 16 |
*-----------------------------------------------------------*

(222) Skyscraper c129\r269 on <6> -- but doesn't help; i.e., extraneous
+-----------------------------------+
| . . . | . . 6 | 6 . . |
| *6 . . | -6 . . | -6 . *6 |
| . . 6 | 6 . . | . . . |
|-----------+-----------+-----------|
| . . . | . 6 . | . . . |
| . . . | . . . | . 6 . |
| *6 *6 . | . . . | . . . |
|-----------+-----------+-----------|
| . . . | 6 . 6 | 6 . . |
| . . 6 | 6 . . | 6 . . |
| . *6 -6 | -6 . . | . . *6 |
+-----------------------------------+

<34+6> XY-Wing r1c1/r1c6+r3c3 <> 6=4 r3c4 complementary
<36+4> XY-Wing r1c6/r1c1+r3c4 <> 4=6 r3c3

Note: the (222) indicates bilocation in the three columns, [c129]. This corresponds to Keith's use of "three strong links" when describing a Swordfish. However, there are other Swordfish, like (333), that don't fit Keith's description.

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