The New Sudoku Players' Forum

by **daj95376** » Mon Apr 29, 2013 2:40 pm

Several steps?

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

Play this puzzle online at the Daily Sudoku site

by **JC Van Hay** » Mon Apr 29, 2013 5:27 pm

Singles+Locked Candidates+Subsets+Skyscraper(3C69) ...

Code: Select all: +----------------------+---------+-------------------+ | 5 28 6 | 7 3 9 | 1 24 248 | | 47 28-7(3) 348 | 1 5 6 | -3(7) 9 28 | | (79) 7(13) 139 | 4 8 2 | 5 36 6(7) | +----------------------+---------+-------------------+ | 8 9 2 | 3 6 5 | 4 7 1 | | 3 4 5 | 2 1 7 | 6 8 9 | | 1 6 7 | 9 4 8 | 2 5 3 | +----------------------+---------+-------------------+ | 2 (137) 13 | 5 9 4 | 8 136 6(7) | | 6 5 349 | 8 7 1 | 39 234 24 | | (479) 78(1) 1489 | 6 2 3 | 79 (14) 5 | +----------------------+---------+-------------------+

Chain[7] : r2c7=3(r2c7<>7)->r3c9=7=r7c2,r3c1=9;r9c1=4,r9c8=1;r3c2=1;3C3 is empty(r2c2<>3) :=> -3r2c7,-7r2c2;ste
or

Code: Select all: 3r2c7 7r2c7=7r3c9 7r7c9=7r7c2 7r3c1=======9r3c1 7r9c1=9r9c1=4r9c1 4r9c8=1r9c8 1r7c2=============1r9c2=1r3c2 3r2c2=======3r7c2===================3r3c2

or
AAHS(137)r2379c2 -> 3r2c2=7r2c7 :=> -3r2c7,-7r2c2;ste
3r2c2
||
(13-7)r37c2=7r7c9-7r3c9=7r2c7
||
1r9c2-(1=4)r9c8-4r9c1=*[(7=9)r3c1-(9=*7)r9c1-7r7c2=7r7c9]-7r3c9=7r2c7

by **Leren** » Mon Apr 29, 2013 10:51 pm

1. Same start as JCVH: Basics + Skyscraper 3C69.

Code: Select all: *--------------------------------------------------------------* | 5 28 6 | 7 3 9 | 1 24 248 | | 47 2378 348 | 1 5 6 |b37 9 28 | |a79 137 139 | 4 8 2 | 5 a36 a67 | |--------------------+--------------------+--------------------| | 8 9 2 | 3 6 5 | 4 7 1 | | 3 4 5 | 2 1 7 | 6 8 9 | | 1 6 7 | 9 4 8 | 2 5 3 | |--------------------+--------------------+--------------------| | 2 137 13 | 5 9 4 | 8 136 67 | | 6 5 349 | 8 7 1 | 39 234 24 | | 47-9 178 1489 | 6 2 3 |b79 14 5 | *--------------------------------------------------------------*

2. als-xz rule x = 3 z = 9: (9=3) r3c189 - (3=9) r29c7 => -9 r9c1;

Code: Select all: *--------------------------------------------------------------* | 5 28 6 | 7 3 9 | 1 24 248 | | 47 2378 a48 | 1 5 6 | 37 9 28 | | 9 137 13 | 4 8 2 | 5 36 67 | |--------------------+--------------------+--------------------| | 8 9 2 | 3 6 5 | 4 7 1 | | 3 4 5 | 2 1 7 | 6 8 9 | | 1 6 7 | 9 4 8 | 2 5 3 | |--------------------+--------------------+--------------------| | 2 137 13 | 5 9 4 | 8 16 67 | | 6 5 9-4 | 8 7 1 | 39 234 24 | |b47 178 b489 | 6 2 3 |b79 14 5 | *--------------------------------------------------------------*

3. als-xz rule x=8 z=4: (4=8) r2c3 - (8=4) r9c137 => -4 r8c3; stte

(Alternatively the same cells form a wxy-z wing 789-4).

Leren

by **Marty R.** » Mon Apr 29, 2013 11:04 pm

Type 1 UR
Hidden UR
W-Wing
XY-Wing (after which it mercifully ended) :oops:

by **daj95376** » Tue Apr 30, 2013 5:13 pm

Sharing my solver's solution. The UR Type 1 helped considerably!

Code: Select all: after basics +-----------------------------------------------------------------------+ | 5 28 6 | *37 *37 9 | 1 248 248 | | 47 2378 348 | 1 5 6 | 37 9 28 | | 79 137 139 | 4 8 2 | 5 36 67 | |-----------------------+-----------------------+-----------------------| | 38 9 2 | 38 6 5 | 4 7 1 | | 38 4 5 | 2 1 7 | 6 38 9 | | 1 6 7 | 9 4 38 | 2 5 38 | |-----------------------+-----------------------+-----------------------| | 2 137 13 | 5 9 4 | 8 136 67 | | 6 5 3489 | *37+8 *37 1 | 39 234 234 | | 479 1378 13489 | 6 2 38 | 379 134 5 | +-----------------------------------------------------------------------+ # 59 eliminations remain r18c45 <37> UR Type 1.2223 <> 37 r8c4

Code: Select all: take your pick +--------------------------------------------------------------+ | 5 28 6 | 7 3 9 | 1 24 248 | | 47 2378 348 | 1 5 6 | c37 9 28 | | a79 137 139 | 4 8 2 | 5 36 b67 | |--------------------+--------------------+--------------------| | 8 9 2 | 3 6 5 | 4 7 1 | | 3 4 5 | 2 1 7 | 6 8 9 | | 1 6 7 | 9 4 8 | 2 5 3 | |--------------------+--------------------+--------------------| | 2 137 13 | 5 9 4 | 8 136 67 | | 6 5 349 | 8 7 1 | 39 234 24 | | 47-9 178 1489 | 6 2 3 | d79 14 5 | +--------------------------------------------------------------+ # 40 eliminations remain W-Wing (9=7)r3c1 - r3c9 = r2c7 - (7=9)r9c7 => r9c1<>9 S-Wing (7)r3c9 = r2c7 - (7=9)r9c7 - r9c1 = (9)r3c1 => r3c1<>7

Code: Select all: take your pick +--------------------------------------------------------------+ | 5 b28 6 | 7 3 9 | 1 24 c248 | | 47 2378 a48 | 1 5 6 | 37 9 b28 | | 9 137 13 | 4 8 2 | 5 36 67 | |--------------------+--------------------+--------------------| | 8 9 2 | 3 6 5 | 4 7 1 | | 3 4 5 | 2 1 7 | 6 8 9 | | 1 6 7 | 9 4 8 | 2 5 3 | |--------------------+--------------------+--------------------| | 2 137 13 | 5 9 4 | 8 16 67 | | 6 5 9-4 | 8 7 1 | 39 234 d24 | | 47 178 489 | 6 2 3 | 79 14 5 | +--------------------------------------------------------------+ # 33 eliminations remain M-Wing 5A (4=8)r2c3 - r1c2 = (8-4)r1c9 = (4)r8c9 => r8c3<>4 M-Wing 5B (4=8)r2c3 - r2c9 = (8-4)r1c9 = (4)r8c9 => r8c3<>4

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