Puzzle 147

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Re: Puzzle 147

Postby denis_berthier » Thu Aug 17, 2023 6:23 am

.
Code: Select all
Resolution state after Singles (and whips[1]:
   +----------------------+----------------------+----------------------+
   ! 59     1      3579   ! 2479   6      29     ! 2347   8      34579  !
   ! 5689   689    2      ! 479    789    3      ! 47     4579   1      !
   ! 4      389    3789   ! 5      1789   1289   ! 6      279    379    !
   +----------------------+----------------------+----------------------+
   ! 1      689    5689   ! 379    2      4      ! 378    5679   356789 !
   ! 3      24689  45689  ! 179    1579   1569   ! 2478   245679 456789 !
   ! 2569   7      4569   ! 8      359    569    ! 1      24569  34569  !
   +----------------------+----------------------+----------------------+
   ! 2689   24689  1      ! 29     89     7      ! 5      3      468    !
   ! 7      3489   3489   ! 6      13589  1589   ! 48     14     2      !
   ! 268    5      368    ! 123    4      128    ! 9      167    678    !
   +----------------------+----------------------+----------------------+

200 candidates, 1215 csp-links and 1215 links. Density = 6.11%


Simplest-first solution, in W4:
Code: Select all
z-chain[3]: r3n1{c5 c6} - b2n8{r3c6 r2c5} - r7c5{n8 .} ==> r3c5≠9
biv-chain[4]: r1c1{n5 n9} - r1c6{n9 n2} - b3n2{r1c7 r3c8} - r6n2{c8 c1} ==> r6c1≠5
whip[1]: b4n5{r6c3 .} ==> r1c3≠5
biv-chain[4]: r1c6{n9 n2} - c7n2{r1 r5} - c2n2{r5 r7} - r7c4{n2 n9} ==> r1c4≠9, r2c4≠9, r8c6≠9
naked-pairs-in-a-row: r2{c4 c7}{n4 n7} ==> r2c8≠7, r2c8≠4, r2c5≠7
naked-pairs-in-a-column: c5{r2 r7}{n8 n9} ==> r8c5≠9, r8c5≠8, r6c5≠9, r5c5≠9, r3c5≠8
whip[1]: r8n9{c3 .} ==> r7c1≠9, r7c2≠9
finned-x-wing-in-columns: n8{c5 c1}{r2 r7} ==> r7c2≠8
finned-x-wing-in-rows: n7{r2 r4}{c4 c7} ==> r5c7≠7
biv-chain[3]: r1c6{n2 n9} - c5n9{r2 r7} - r7c4{n9 n2} ==> r1c4≠2, r9c6≠2
naked-pairs-in-a-block: b2{r1c4 r2c4}{n4 n7} ==> r3c5≠7
singles ==> r3c5=1, r5c5=7
z-chain[3]: c7n7{r2 r4} - c7n3{r4 r1} - b3n2{r1c7 .} ==> r3c8≠7
z-chain[3]: r3c8{n9 n2} - r6n2{c8 c1} - c1n9{r6 .} ==> r3c3≠9, r3c2≠9
biv-chain[4]: r6c5{n5 n3} - c4n3{r4 r9} - r9n2{c4 c1} - r6n2{c1 c8} ==> r6c8≠5
z-chain[4]: c2n2{r5 r7} - r9n2{c1 c4} - r9n3{c4 c3} - c3n6{r9 .} ==> r5c2≠6
z-chain[4]: c1n9{r2 r6} - b4n2{r6c1 r5c2} - c7n2{r5 r1} - r1c6{n2 .} ==> r1c3≠9
naked-triplets-in-a-block: b1{r1c3 r3c2 r3c3}{n7 n3 n8} ==> r2c2≠8, r2c1≠8
stte



Simplest 1-step solution, in W6:
Code: Select all
whip[6]: r7c4{n2 n9} - r7c5{n9 n8} - r7c1{n8 n6} - r9c1{n6 n8} - r2n8{c1 c2} - r2n6{c2 .} ==> r7c2≠2
stte
denis_berthier
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