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Puzzle 10/10/10: C BBDB XY

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daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Sun Oct 10, 2010 3:30 am Post subject: Puzzle 10/10/10: C BBDB XY

Code:

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

Play this puzzle online at the Daily Sudoku site

peterj

Joined: 26 Mar 2010
Posts: 974
Location: London, UK

Posted: Sun Oct 10, 2010 8:18 am Post subject:

Very interesting puzzle - there are so many 'hub' cells in r7 and b9 that make lots of interesting chains.. Here is one of them

Quote:

AIC (m-wing like); (5=6)r2c9 - r7c9=(6-2)r9c7=r6c7 - (2=5)r4c8 ; r5c9<>5

tlanglet

Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

Posted: Sun Oct 10, 2010 10:48 pm Post subject:

Very fun, interesting puzzles with lots of options.

Quote:

Type 1 UR(48)r13c47; r3c7<>48=1
xy-wing 25-9 vertex r4c5; r6c5,r8c4<>9

At this point, we have two choices:
Flightless xy-wing -345 plus transport: (3=5)r8c4-(5=4)r8c7-(4=8)r1c7-r3c9=r5c9-(8=3)r5c6; r5c4<>3, or
ANP(8=13)r79c6-(3=5)r8c4-(5=4)r8c7-(4=8)r1c7-r3c9=(8)r5c9; r5c6<>8

Two additional one step solutions are:
ANT(356=4)r278c9-(4=5)r8c7-r79c8=(5)r4c8; r5c9<>5

Kraken cell (345)r8c9; r9c8<>5
(3)r8c9-(3=6)r7c9-(6=5)r2c9-r5c9=(5)r4c8;
||
(4)r8c9-(4=5)r8c7;
||
(5)r8c9;

Ted

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Sun Oct 10, 2010 11:58 pm Post subject:

Code:

after basics
+--------------------------------------------------------------+
| 19 19 6 | 48 3 5 | 48 7 2 |
| 4 2 8 | 7 1 9 | 56 3 56 |
| 3 7 5 | 48 6 2 | 148 9 148 |
|--------------------+--------------------+--------------------|
| 8 49 49 | 1 25 6 | 3 25 7 |
| 2 6 1 | 35 7 38 | 9 4 58 |
| 5 3 7 | 29 289 4 | 128 6 18 |
|--------------------+--------------------+--------------------|
| 19 159 39 | 2356 4 138 | 7 258 356 |
| 6 8 2 | 359 59 7 | 45 1 345 |
| 7 145 34 | 2356 258 138 | 256 258 9 |
+--------------------------------------------------------------+
# 57 eliminations remain

There is a <19> UR Type 1 in r17c12 that results in r7c3=5, but it isn't needed.

There is a <48> UR Type 1 in r13c47 that results in r3c7=1, and it has an overlapping UR as well.

There is a <18> UR Type ? in r36c79 that results in r3c79,r6c7<>8.

If we perform the last two URs concurrently, then r3c9=4 and r6c7=2 follow -- cracking the puzzle.

Note on the <18> UR: The only <1/8> candidates external to the UR in [c7] & [c9] are r1c7=8 & r5c9=8 ... and they see r3c9 & r6c7. This is sufficient to get the two eliminations needed from this UR.

storm_norm

Joined: 18 Oct 2007
Posts: 1741

Posted: Mon Oct 11, 2010 2:21 am Post subject:

this chain makes eliminations along the way

Code:

+-------------+----------------+-------------------+
| 19 19 6 | 48 3 5 | 48 7 2 |
| 4 2 8 | 7 1 9 | 6(5) 3 6(5) |
| 3 7 5 | 48 6 2 | 148 9 -8(14) |
+-------------+----------------+-------------------+
| 8 49 49 | 1 25 6 | 3 25 7 |
| 2 6 1 | 35 7 38 | 9 4 (58) |
| 5 3 7 | 29 289 4 | 128 6 -8(1) |
+-------------+----------------+-------------------+
| 19 159 39 | 2356 4 138 | 7 258 356 |
| 6 8 2 | 359 59 7 | (45) 1 35(4) |
| 7 145 34 | 2356 258 138 | 256 258 9 |
+-------------+----------------+-------------------+

(8=5)r5c9 - (5)r2c9 = (5)r2c7 - (5=4)r8c7 - (4)r8c9 = *(4-1)r3c9 = (1)r6c8; r3c9 and r6c9 <> 8

the chain could stop at r3c9 but it continues on to r6c9 also eliminating an8 there as well.

Marty R.

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

Posted: Tue Oct 12, 2010 1:32 am Post subject:

Six steps for me. Type 1 UR (48) Type 1 UR (19) Finned X-Wing (2) X-Wing (5) BUG+2 BUG+1

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