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Puzzle 11/03/30: ~ Difficult

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daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Thu Mar 31, 2011 1:01 am Post subject: Puzzle 11/03/30: ~ Difficult

Code:

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

Play this puzzle online at the Daily Sudoku site

tlanglet

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

Posted: Thu Mar 31, 2011 4:30 am Post subject:

Another fun two step solution......

Quote:

A hidden UR(46)r25c23 with x-wing (6) overlay; r5c3<>4
However, if we look again at this pattern as an AUR we get better results.
AUR(46)r25c23 internal sis: r2c3=3,r5c2=5,r5c3=5,r5c3=7; r46c3<>5
(3)r2c3-(3=7=5)b1q73;
||
(5)r5c2;
||
(5)r5c3;
||
(7)r5c3-(7=5)r1c3;

Flightless xy-wing (57-4): (4=7)r4c3-(7=5)r1c3-(5=4)r3c2-r2c2=r2c5-r8c5=(4)r8c6; r4c6<>4

Ted

peterj

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

Posted: Thu Mar 31, 2011 8:24 am Post subject:

Two steps...

Quote:

xy-chain (4=5)r3c2 - (5=7)r1c3 - (7=3)r3c1 - (3=1)r6c1 - (1=4)r6c4 ; r3c4<>4
BUG+1 ; r5c3<>67=5

A slightly-related one-stepper... uses part of the chain above...

Quote:

almost w-wing(34) with transport ; r8c6<>4
w-wing(34) (4=3)r8c5 - r2c5=r2c3 - (3=4)r6c3 - r4c3=r4c6
||
(5)r6c3 - (5=7)r1c3 - (7=3)r3c1 - r3c6=r8c6

Marty R.

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

Posted: Sat Apr 02, 2011 12:28 am Post subject:

XY-Chain; r6c3<>5, plus extension; r5c8<>5 XY-Wing (364), flightless with transport; r2c5, r3c2<>4

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