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by **SteveG48** » Sun May 17, 2026 8:02 pm

Code: Select all: *-----------* |...|84.|37.| |...|...|.4.| |7..|..1|..6| |---+---+---| |8.9|5..|6..| |..7|.8.|5..| |..6|..3|9.4| |---+---+---| |1..|9..|..8| |.2.|...|...| |.94|.38|...| *-----------*

by **RSW** » Mon May 18, 2026 12:24 am

Two simple steps.

1.

Code: Select all: +-------------+---------------+----------------+ | 59 6 125 | 8 4 25 | 3 7 1259 | | 359 8 1235 | 237 5679 2567 | 12 4 1259 | | 7 4 235 | 23 59 1 | 8 259 6 | +-------------+---------------+----------------+ | 8 #13 9 | 5 2 4 | 6 #13 7 | | 4 #13 7 | 6 8 9 | 5 #13+2 123 | | 2 5 6 | 17 17 3 | 9 8 4 | +-------------+---------------+----------------+ | 1 7 35 | 9 56 256 | 4 2356 8 | | 356 2 8 | 4 1567 567 | 17 13569 1359 | | 56 9 4 | 127 3 8 | 127 1256 125 | +-------------+---------------+----------------+

Unique Rectangle UR+1 using internals
(13)r45c28 => +2r5c8

Then singles & a locked set

2.

Code: Select all: +-------------+------------+-------------+ | 9 6 12 | 8 4 5 | 3 7 12 | | 35 8 1235 | 23 67 67 | 12 4 9 | | 7 4 23 | 23 9 1 | 8 5 6 | +-------------+------------+-------------+ | 8 13 9 | 5 2 4 | 6 13 7 | | 4 13 7 | 6 8 9 | 5 2 13 | | 2 5 6 | 17 17 3 | 9 8 4 | +-------------+------------+-------------+ | 1 7 b35 | 9 56 2 | 4 c36 8 | | 356 2 8 | 4 1567 67 | 17 9 135 | |a56 9 4 | 17 3 8 | 127 1-6 125 | +-------------+------------+-------------+

XY-wing
(6=5)r9c1 - (5=3)r7c3 - (3=6)r7c8 => -6r9c8; ste

by **pjb** » Mon May 18, 2026 3:15 am

I also struggled to find a solve-in-one, so here's a different 2

Code: Select all: 59 6 125 | 8 4 25 | 3 7 1259 359 8 1235 | 237 5679 2567 | 12 4 1259 7 4 235 | 23 59 1 | 8 259 6 ------------------------+----------------------+--------------------- 8 13 9 | 5 2 4 | 6 13 7 4 13 7 | 6 8 9 | 5 123 123 2 5 6 | 17 17 3 | 9 8 4 ------------------------+----------------------+--------------------- 1 7 35 | 9 a56 2-56 | 4 2356 8 356 2 8 | 4 b1567 b567 |b17 3569-1 359-1 56 9 4 | 127 3 8 | 127 12561 125

(s=6)r7c5 - (6=5)r8c567 - loop => -56 r7c6, -1 r8c89 =>

Code: Select all: 9 6 12 | 8 4 5 | 3 7 12 35 8 1235 | 23 67 67 | 12 4 9 7 4 23 | 23 9 1 | 8 5 6 ------------------------+----------------------+--------------------- 8 13 9 | 5 2 4 | 6 13 7 4 13 7 | 6 8 9 | 5 123 123 2 5 6 | 17 17 3 | 9 8 4 ------------------------+----------------------+--------------------- 1 7 b35 | 9 56 2 | 4 a36 8 356 2 8 | 4 1567 67 | 17 9 35 c56 9 4 | 17 3 8 | 127 12-6 125

(6=3)r7c8 - (3=5)r7c3 - (5=6)r9c1 => -6 r9c8; stte

Phil

by **rjamil** » Mon May 18, 2026 3:57 am

Close to above 2-step solutions:

After 17 singleton moves:

Code: Select all: +---------------+-----------------+------------------+ | 59 6 125 | 8 4 25 | 3 7 1259 | | 359 8 1235 | 237 5679 2567 | 12 4 1259 | | 7 4 235 | 23 59 1 | 8 259 6 | +---------------+-----------------+------------------+ | 8 13 9 | 5 2 4 | 6 13 7 | | 4 13 7 | 6 8 9 | 5 123 123 | | 2 5 6 | 17 17 3 | 9 8 4 | +---------------+-----------------+------------------+ | 1 7 35 | 9 56 256 | 4 2356 8 | | 356 2 8 | 4 56*17 56*7 |*17 3569-1 359-1| | 56 9 4 |*17-2 3 8 | 127 1256 125 | +---------------+-----------------+------------------+

1) Almost Locked pair: 17 @ r8c56 r8c7 r9c4 => -1 @ r8c89 => -2 @ r9c4;

and after 7 singletons and a NP moves:

Code: Select all: +---------------+--------------+---------------+ | 9 6 12 | 8 4 5 | 3 7 12 | |*35 8 1235 | 23 67 67 | 12 4 9 | | 7 4 23 | 23 9 1 | 8 5 6 | +---------------+--------------+---------------+ | 8 13 9 | 5 2 4 | 6 13 7 | | 4 13 7 | 6 8 9 | 5 123 123 | | 2 5 6 | 17 17 3 | 9 8 4 | +---------------+--------------+---------------+ | 1 7 35 | 9 56 2 | 4 36 8 | | 56*3 2 8 | 4 1567 67 | 17 9 *35 | | 6-5 9 4 | 17 3 8 | 127 126 12*5| +---------------+--------------+---------------+

2) M-Wing: 35 @ r2c1 35 @ r8c9 SL 3 @ r8c19 SL 5 @ r89c9 => -5 @ r9c1; stte

R. Jamil
Note: No more POM moves solution.

Edit: corrected second move.

by **Cenoman** » Mon May 18, 2026 1:21 pm

Code: Select all: +--------------------+----------------------+-----------------------+ | 59 6 125 | 8 4 25 | 3 7 1259 | | b359 8 1235 |ec237* i5679 i2567 | e12* 4 1259 | | 7 4 235 | d23 59 1 | 8 259 6 | +--------------------+----------------------+-----------------------+ | 8 13 9 | 5 2 4 | 6 13 7 | | 4 13 7 | 6 8 9 | 5 123 123 | | 2 5 6 | 17 17 3 | 9 8 4 | +--------------------+----------------------+-----------------------+ | 1 7 35 | 9 j56 256 | 4 2356 8 | | a35-6 2 8 | 4 k1567 kh567 |kg17 13569 1359 | | f56 9 4 | e127* 3 8 | e127* f1256 f125 | +--------------------+----------------------+-----------------------+

(3)r8c1 = r2c1 - r2c4 = (3-2)r3c4 = XW(2)c47\r39 - (2=561)r9c189 - (1=7)r8c7 - r8c6 = (76)r2c6 - (6=5)r7c5 - (5=476)r8c567 => -6 r8c1; lclste

Steve Hodoku 5-17-2026