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Puzzle 10/08/10: B

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Tue Aug 10, 2010 12:38 pm    Post subject: Puzzle 10/08/10: B Reply with quote

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

Play this puzzle online at the Daily Sudoku site

Rating wrote:
XY+
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peterj



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

PostPosted: Wed Aug 11, 2010 9:25 am    Post subject: Reply with quote

Two steps with one of many chains..
Quote:
turbot/ER(2) (2)r6c5=r6c3 - r2c3=r3c1 ; r3c5<>2
xy-chain (8=3)r5c3 - (3=6)r6c2 - (6=5)r8c2 - (5=6)r7c3 - (6=5)r7c6 - (5=8)r1c6 ; r1c3<>8

While playing with this puzzle seemed like there were quite a few 'back doors', here's one painful one! (I've been reading too many of Mm's post - the dark side beckons!)
Quote:
Almost-ANP(56) fin 7(r8c6)
ANP (2=56)r78c6 - (56=8)r1c6 - r3c6=(8-2)r3c1=r2c3 ; r2c6<>2
fin (7-6)r8c6=r8c2 - r7c3=(6-2)r6c3=r2c3 ; r2c6<>2
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tlanglet



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

PostPosted: Wed Aug 11, 2010 2:57 pm    Post subject: Reply with quote

I have no idea why I picked a hard puzzle after returning from a trip but I won't do so next time...........

1.) ANP(35=2)r45c4-(2=5)r4c1-r4c458*=r6c78-r6c5=(5)r5c4*; r17c4<>5

This brings us to the following:
Code:
 *-----------------------------------------------------------*
 | 1     4     358   | 36    35    568   | 2     9     7     |
 | 6     357   235   | 9     1     257   | 8     35    4     |
 | 258   357   9     | 4     2357  2578  | 35    1     6     |
 |-------------------+-------------------+-------------------|
 | 25    9     7     | 235   238   4     | 6     358   1     |
 | 58    1     358   | 35    6     9     | 4     7     2     |
 | 4     356   2356  | 7     238   1     | 35    358   9     |
 |-------------------+-------------------+-------------------|
 | 7     8     56    | 26    9     256   | 1     4     3     |
 | 3     56    4     | 1     57    567   | 9     2     8     |
 | 9     2     1     | 8     4     3     | 7     6     5     |
 *-----------------------------------------------------------*

2.) Flightless AXY-wing -256 with vertex (56)r7c3, pincers (25)r2c3 & (26)r7c4 and fin (3)r2c3
If xy-wing is true with transport: (2)r2c3-r3c1=(2)r4c1; r4c4<>2
If fin is true: (3)r2c3-r5c3=r5c4-(3=28)r46c5-(2)r4c4; r4c4<>2

3.) Flightless xy-wing 3-56 vertex (36)r6c2 plus transport: (5)r6c7-r6c8=(5)r2c8; r2c2<>5

The code at this stage is:

Code:
*--------------------------------------------------*
 | 1    4    358  | 6    35   58   | 2    9    7    |
 | 6    37   235  | 9    1    257  | 8    35   4    |
 | 28   357  9    | 4    357  28   | 35   1    6    |
 |----------------+----------------+----------------|
 | 25   9    7    | 35   28   4    | 6    38   1    |
 | 58   1    38   | 35   6    9    | 4    7    2    |
 | 4    36   236  | 7    28   1    | 35   358  9    |
 |----------------+----------------+----------------|
 | 7    8    56   | 2    9    56   | 1    4    3    |
 | 3    56   4    | 1    57   567  | 9    2    8    |
 | 9    2    1    | 8    4    3    | 7    6    5    |
 *--------------------------------------------------*

4.) ANP(36=2)r6c23-r2c3=(2-7)r2c6=r3c5-(7=5)r8c5-r8c2=r7c3-r12c3=r3c2-(5=3)r3c7; r6c7<>3

5.) BUG+2 gives rrc3<>3 to complete the puzzle

Ted
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