The New Sudoku Players' Forum

[Mauriès Robert]

Hi all,
I propose you this puzzle of level TDP= 1.
I am interested in your different resolutions.
Robert

...2...4.12.....3...4..58....3.....7.6.1.....7....84..8..9..6...1..4..73.5.......

puzzle: Show

[DEFISE]

Hi Robert,
since you used a very long chain in your site, I point out a solution using a very long chain too:

Single(s): 9r6c2, 8r8c4, 5r8c7, 5r7c5, 1r6c3, 3r5c7
Box/Line: 9r8b7 => -9r9c1 -9r9c3
Box/Line: 5c8b6 => -5r5c9 -5r6c9
Hidden pairs: 34b7p27 => -7r7c2 -2r9c1 -6r9c1
Box/Line: 7c2b1 => -7r1c3 -7r2c3
g-whip[14]: r6n2{c8 c5}- r6n3{c5 c4}- c4n5{r6 r4}- r4c1{n5 n4}- r9c1{n4 n3}- r7n3{c2 c6}- r7n1{c6 c89}- c7n1{r9 r1}- c6n1{r1 r9}- c5n1{r9 r3}- r3n3{c5 c2}- r3n7{c2 c4}- c6n7{r1 r5}- r5n4{c6 .} => -2r4c7
STTE

N.B: this puzzle has a low W-rating (=4) but it’s not easy to reduce the number of steps. I found other solutions (rather boring):
2 steps in g-W10, 3 steps in W9, 4 steps in W8.

[denis_berthier]

.

Code: Select all

Resolution state after Singles and whips[1]:
   +----------------------+----------------------+----------------------+
   ! 3569   378    56789  ! 2      136789 13679  ! 179    4      1569   !
   ! 1      2      56789  ! 467    6789   4679   ! 79     3      569    !
   ! 369    37     4      ! 367    13679  5      ! 8      1269   1269   !
   +----------------------+----------------------+----------------------+
   ! 245    48     3      ! 456    269    2469   ! 129    125689 7      !
   ! 245    6      258    ! 1      279    2479   ! 3      2589   289    !
   ! 7      9      1      ! 356    236    8      ! 4      256    26     !
   +----------------------+----------------------+----------------------+
   ! 8      347    27     ! 9      5      1237   ! 6      12     124    !
   ! 269    1      269    ! 8      4      26     ! 5      7      3      !
   ! 2346   5      267    ! 367    12367  12367  ! 129    1289   12489  !
   +----------------------+----------------------+----------------------+
181 candidates

1-step of Forcing-T&E

FORCING-T&E(W1) applied to bivalue candidates n1r7c8 and n2r7c8 :
===> 10 values decided in both cases: n4r5c6 n7r5c5 n4r2c4 n9r4c6 n8r2c5 n9r8c1 n1r9c5 n9r3c5 n2r5c1 n7r7c3
===> 89 candidates eliminated in both cases: n6r1c1 n9r1c1 n3r1c2 n5r1c3 n6r1c3 n7r1c3 n1r1c5 n7r1c5 n8r1c5 n9r1c5 n3r1c6 n6r1c6 n7r1c6 n9r1c6 n9r1c7 n1r1c9 n6r1c9 n6r2c3 n7r2c3 n8r2c3 n6r2c4 n7r2c4 n6r2c5 n7r2c5 n9r2c5 n4r2c6 n9r2c6 n9r2c9 n3r3c1 n9r3c1 n6r3c4 n1r3c5 n3r3c5 n6r3c5 n7r3c5 n1r3c8 n9r3c8 n6r3c9 n9r3c9 n2r4c1 n4r4c4 n9r4c5 n2r4c6 n4r4c6 n6r4c6 n9r4c7 n2r4c8 n5r4c8 n6r4c8 n9r4c8 n4r5c1 n5r5c1 n2r5c3 n2r5c5 n9r5c5 n2r5c6 n7r5c6 n9r5c6 n2r5c8 n8r5c8 n2r5c9 n6r6c4 n6r6c5 n2r6c8 n7r7c2 n2r7c3 n1r7c6 n7r7c6 n2r7c9 n2r8c1 n6r8c1 n9r8c3 n2r9c1 n6r9c1 n7r9c3 n3r9c4 n2r9c5 n3r9c5 n6r9c5 n7r9c5 n1r9c6 n2r9c6 n6r9c6 n1r9c7 n1r9c8 n2r9c8 n1r9c9 n2r9c9 n9r9c9
stte

[Mauriès Robert]

Hi François,
Thank you for your comment. I had a multi-step resolution that I had not published, here it is which should correspond to W7:
(-2r6c9)->6r6c9->6r3c8->2r3c9->... => -2r579c9
(-1r7c9)->4r7c9->4r4c2->8r4c8->1r4c7->2r9c7->1r7c8->... => -1r9c789, -1r7c6
(-8r4c8)->8r4c2->4r7c2->1r7c9->2r7c8->2r4c7->1r4c8->... => -2569r4c8 => -6r6c45
(-9r5c9)->8r5c9->8r4c2->4r7c2->1r7c9->2r7c8->9r9c7->... => -9r9c9, -9r4c7 => -9r5c56
(-7r5c5)->[2r5c5 et 7r5c6->4r5c1->4r9c9->8r9c8->9r9c7->2r4c7]->... 2r6 empty => r5c5=7
(-5r4c4)->5r6c4->(5r5c8->9r5c9)->8r5c3->4r4c2->... => -4r4c4 => r2c4=4
(-7r9c4)->7r3c4->3r3c2->3r7c6->... => -7r7c6 => r7c3=7
(-7r3c2)->3r3c2->4r7c2->8r4c2->1r4c8->1r1c7->1r9c6->7r9c4->... => -7r3c4 => r3c2=7, r9c4=7
(-3r3c4)->3r6c4->2r6c5->6r6c9->6r3c8->... => -6r3c4 => r3c4=3, r6c5=3 and end
Obviously, this can be optimized.
Robert

[DEFISE]

Here is my best solution in W7:

Single(s): 9r6c2, 8r8c4, 5r8c7, 5r7c5, 1r6c3, 3r5c7
Box/Line: 9r8b7 => -9r9c1 -9r9c3
Box/Line: 5c8b6 => -5r5c9 -5r6c9
Hidden pairs: 34b7p27 => -7r7c2 -2r9c1 -6r9c1
Box/Line: 7c2b1 => -7r1c3 -7r2c3

whip[5]: r7n3{c6 c2}- r3c2{n3 n7}- c4n7{r3 r2}- c4n4{r2 r4}- c2n4{r4 .} => -7r7c6
Single(s): 7r7c3

whip[6]: r7c8{n1 n2}- r7c9{n2 n4}- c2n4{r7 r4}- r4n8{c2 c8}- r4n1{c8 c7}- c7n2{r4 .} => -1r7c6
Box/Line: 1r7b9 => -1r9c7 -1r9c8 -1r9c9

whip[3]: c6n1{r9 r1}- c7n1{r1 r4}- c7n2{r4 .} => -2r9c6

whip[7]: r9n4{c1 c9}- r9n8{c9 c8}- r9n9{c8 c7}- c7n2{r9 r4}- r6n2{c8 c5}- r5n2{c5 c3}- r9n2{c3 .} => -4r5c1
Single(s): 4r5c6, 4r2c4, 7r5c5
Box/Line: 9r5b6 => -9r4c7 -9r4c8

whip[5]: c6n1{r9 r1}- c7n1{r1 r4}- c7n2{r4 r9}- r7n2{c8 c6}- c6n3{r7 .} => -7r9c6
Single(s): 7r9c4, 7r3c2

whip[4]: r6c9{n2 n6}- c8n6{r6 r3}- r3c4{n6 n3}- r6n3{c4 .} => -2r6c5
Box/Line: 2r6b6 => -2r4c7 -2r4c8 -2r5c8 -2r5c9
STTE