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Website · by **denis_berthier** » Fri Jul 16, 2021 7:47 am

Code: Select all: 7.......1 .6.....3. ..4...9.. ..59.16.. 839267514 ..75.83.. ..1...4.. .2.....8. 5.......7 +-------+-------+-------+ ! 7 . . ! . . . ! . . 1 ! ! . 6 . ! . . . ! . 3 . ! ! . . 4 ! . . . ! 9 . . ! +-------+-------+-------+ ! . . 5 ! 9 . 1 ! 6 . . ! ! 8 3 9 ! 2 6 7 ! 5 1 4 ! ! . . 7 ! 5 . 8 ! 3 . . ! +-------+-------+-------+ ! . . 1 ! . . . ! 4 . . ! ! . 2 . ! . . . ! . 8 . ! ! 5 . . ! . . . ! . . 7 ! +-------+-------+-------+ 7.......1.6.....3...4...9....59.16..839267514..75.83....1...4...2.....8.5.......7 # 268 FNBY C29/S4.hv 29 givens, non-minimal, SER = 7.2

by **RSW** » Fri Jul 16, 2021 8:19 am

Code: Select all: +-------------+-------------------+--------------+ | 7 a59 23 | 36 259 23569 | 8 4 1 | |b19 6 28 | 148 12589 2459 | 7 3 25 | |c13 *8-5 4 | 1378 12578 d235 | 9 d256 d256 | +-------------+-------------------+--------------+ | 2 4 5 | 9 3 1 | 6 7 8 | | 8 3 9 | 2 6 7 | 5 1 4 | | 6 1 7 | 5 4 8 | 3 29 29 | +-------------+-------------------+--------------+ | 39 7 1 | 368 2589 23569 | 4 569 3569 | | 4 2 36 | 367 579 3569 | 1 8 3569 | | 5 89 368 | 1346 19 3469 | 2 69 7 | +-------------+-------------------+--------------+

(5=9)r1c2 - (9=1)r2c1 - (1=3)r3c1 - (3=256)r3c689 => -5r3c2; ste

by **Leren** » Fri Jul 16, 2021 10:09 am

Code: Select all: *--------------------------------------------------* | 7 A59 23 | 36 259 23569 | 8 4 1 | |A19 6 2-8 | 148 12589 2459 | 7 3 25 | |A13 Aa58a 4 | 1378 12578 Bb235b | 9 a256 a256 | |---------------+-------------------+--------------| | 2 4 5 | 9 3 1 | 6 7 8 | | 8 3 9 | 2 6 7 | 5 1 4 | | 6 1 7 | 5 4 8 | 3 29 29 | |---------------+-------------------+--------------| | 39 7 1 | 368 2589 23569 | 4 569 3569 | | 4 2 36 | 367 579 3569 | 1 8 3569 | | 5 89 368 | 1346 19 3469 | 2 69 7 | *--------------------------------------------------* 3 Petal Death Blossom: Stem Cell r3c6 {235}; (8=2) r3c289 - (2) r3c6; (8=3) r1c2, r2c1, r3c12 - (3) r3c6; (8=5) r3c2 - (5) r3c6; => - 8 r2c3; stte

Leren

by **P.O.** » Fri Jul 16, 2021 5:24 pm

Code: Select all: after singles: 7 59 23 36 259 23569 8 4 1 19 6 28 148 12589 2459 7 3 25 b1+3 d-5+8 4 13678 12578 c(2-356) 9 c(256) c(256) 2 4 5 9 3 1 6 7 8 8 3 9 2 6 7 5 1 4 6 1 7 5 4 8 3 29 29 a-3×9 7 1 368 2589 23569 4 569 3569 4 2 36 367 579 3569 1 8 3569 5 d-8+9 368 13468 189 3469 2 69 7 depth: 2 candidate: 9 from start ((3 0) (7 1 7) (3 9)) if R7C1 is not 3 ((3 0) (3 1 1) (1 3)) R3C1 is 3 ((5 1 1 221) ((3 6 2) (2 3 5 6)) ((3 8 3) (2 5 6)) ((3 9 3) (2 5 6))) a triplet: one is 5 ((9 2 142) (9 2 7) (8 9)) R9C2 is 9 from a pair ste.

by **pjb** » Fri Jul 16, 2021 11:20 pm

Code: Select all: 7 c59 23 | 36 259 23569 | 8 4 1 b19 6 28 | 148 12589 2459 | 7 3 25 a13 8-5 4 | 1378 12578 a235 | 9 a256 a256 ------------------------+----------------------+--------------------- 2 4 5 | 9 3 1 | 6 7 8 8 3 9 | 2 6 7 | 5 1 4 6 1 7 | 5 4 8 | 3 29 29 ------------------------+----------------------+--------------------- 39 7 1 | 368 2589 23569 | 4 569 3569 4 2 36 | 367 579 3569 | 1 8 3569 5 89 368 | 1346 19 3469 | 2 69 7

(5=1)r3c1689 - (1=9)r2c1 - (9=5)r1c2 => -5 r3c2; stte

oops ... same as RSWs back to front, so

(9=1)r2c1 - (1=8)r3c12689 - (8=9)r9c2 => -9 r1c2, r7c2; stte

Phil

Website · by **denis_berthier** » Sat Jul 17, 2021 3:58 am

.

Code: Select all: Resolution state after Singles and whips[1]: +-------------------+-------------------+-------------------+ ! 7 59 23 ! 36 259 23569 ! 8 4 1 ! ! 19 6 28 ! 148 12589 2459 ! 7 3 25 ! ! 13 58 4 ! 1378 12578 235 ! 9 256 256 ! +-------------------+-------------------+-------------------+ ! 2 4 5 ! 9 3 1 ! 6 7 8 ! ! 8 3 9 ! 2 6 7 ! 5 1 4 ! ! 6 1 7 ! 5 4 8 ! 3 29 29 ! +-------------------+-------------------+-------------------+ ! 39 7 1 ! 368 2589 23569 ! 4 569 3569 ! ! 4 2 36 ! 367 579 3569 ! 1 8 3569 ! ! 5 89 368 ! 1346 19 3469 ! 2 69 7 ! +-------------------+-------------------+-------------------+

The puzzle is in W4.

However, the simplest 1-step solution is in W6:

Code: Select all: whip-rc[6]: r1c2{n5 n9} - r2c1{n9 n1} - r3c1{n1 n3} - r3c6{n3 n2} - r3c9{n2 n6} - r3c8{n6 .} ==> r3c2 ≠ 5 stte

Notice that this is the chain version of RSW's S-chain (after the last NT has been expanded as a chain):

RSW wrote:(5=9)r1c2 - (9=1)r2c1 - (1=3)r3c1 - (3=256)r3c689 => -5r3c2

This also illustrates why a the size of a Subset (here 3) has to be counted in the total length of a chain, so that the two versions have the same global size (6). (*)

Considering that the puzzle is in W4, I prefer a 2-step solution, using only xy-chains[≤4]:

Code: Select all: biv-chain-rc[3]: r2c9{n5 n2} - r2c3{n2 n8} - r3c2{n8 n5} ==> r3c8 ≠ 5, r3c9 ≠ 5 singles ==> r2c9 = 5, r7c8 = 5 whip[1]: b3n2{r3c9 .} ==> r3c5 ≠ 2, r3c6 ≠ 2 biv-chain-rc[4]: r1c2{n5 n9} - r2c1{n9 n1} - r3c1{n1 n3} - r3c6{n3 n5} ==> r3c2 ≠ 5, r1c5 ≠ 5, r1c6 ≠ 5 stte

The second chain could also be:

Code: Select all: biv-chain-rc[4]: r1c3{n3 n2} - r2c3{n2 n8} - r3c2{n8 n5} - r3c6{n5 n3} ==> r3c1 ≠ 3, r1c4 ≠ 3, r1c6 ≠ 3

*[Edit]:The same correspondence works for pjb's S-chain with a NQ, but it requires a braid instead of a whip:

pjb wrote:(9=1)r2c1 - (1=8)r3c12689 - (8=9)r9c2 => -9 r1c2, r7c2

braid[6]: r2c1{n9 n1} - r3c1{n1 n3} - c2n5{r1 r3} - r3c6{n3 n2} - r3c8{n2 n6} - r3c9{n6 .} ==> r1c2 ≠ 9
RSW's second elimination is not necessary for stte

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