The New Sudoku Players' Forum

by **jovi_al01** » Wed May 25, 2022 1:08 am

Code: Select all: +-----------------------------------+ | . . . . . . . . 1 | | | | . . . . . . 2 3 4 | | | | . . . . . . 5 6 7 | | | | . . . . . 4 . 8 . | | | | . . . 5 6 9 . . . | | | | . . 5 . 7 1 . . . | | | | . 5 7 . . . . . . | | | | . 9 6 . 2 . . . . | | | | 3 4 1 . . . . . . | +-----------------------------------+ ........1......234......567.....4.8....569.....5.71....57.......96.2....341......

it's been a while since i've last posted here. i've been running a search to look for puzzles with three full boxes and only three more given digits. i'm finding them to be quite rare!

by **pjb** » Wed May 25, 2022 1:15 am

Code: Select all: 57 367 24 | 3467 5-4 2356 | 8 9 1 1579 167 8 | 679 159 56 | 2 3 4 b19 b13 24 |b349 b1489 238 | 5 6 7 ------------------------+----------------------+--------------------- 17 17 9 | 2 3 4 | 6 8 5 4 8 3 | 5 6 9 | 1 7 2 6 2 5 | 8 7 1 | 3 4 9 ------------------------+----------------------+--------------------- 2 5 7 | 346 a48 368 | 9 1 68 8 9 6 | 1 2 7 | 4 5 3 3 4 1 | 69 589 568 | 7 2 68

(4=8)r7c5 - (8=4)r3c1245 => -4 r1c5; stte

Phil

by **jco** » Wed May 25, 2022 2:21 am

Code: Select all: .-----------------------------------------------------------. | 57 367 e24 | 3467 5-4 d2356 | 8 9 1 | | 1579 167 8 | 679 159 56 | 2 3 4 | | 19 13 24 | 349 b1489 c238 | 5 6 7 | |-------------------+-------------------+-------------------| | 17 17 9 | 2 3 4 | 6 8 5 | | 4 8 3 | 5 6 9 | 1 7 2 | | 6 2 5 | 8 7 1 | 3 4 9 | |-------------------+-------------------+-------------------| | 2 5 7 | 346 a48 368 | 9 1 68 | | 8 9 6 | 1 2 7 | 4 5 3 | | 3 4 1 | 69 589 568 | 7 2 68 | '-----------------------------------------------------------'

1. (4=8)r7c5 - (8)r3c5 = (8-2)r3c6 = (2)r1c6 - (2=4)r1c3 => -4 r1c5; ste

Website · by **denis_berthier** » Wed May 25, 2022 5:24 am

.

Code: Select all: Resolution state after Singles (and whips[1]): +----------------+----------------+----------------+ ! 57 367 24 ! 3467 45 2356 ! 8 9 1 ! ! 1579 167 8 ! 679 159 56 ! 2 3 4 ! ! 19 13 24 ! 349 1489 238 ! 5 6 7 ! +----------------+----------------+----------------+ ! 17 17 9 ! 2 3 4 ! 6 8 5 ! ! 4 8 3 ! 5 6 9 ! 1 7 2 ! ! 6 2 5 ! 8 7 1 ! 3 4 9 ! +----------------+----------------+----------------+ ! 2 5 7 ! 346 48 368 ! 9 1 68 ! ! 8 9 6 ! 1 2 7 ! 4 5 3 ! ! 3 4 1 ! 69 589 568 ! 7 2 68 ! +----------------+----------------+----------------+ 72 candidates

Puzzle in BC4. Simplest 1-step solution in BC4 also:

Code: Select all: biv-chain[4]: r1c3{n4 n2} - b2n2{r1c6 r3c6} - b2n8{r3c6 r3c5} - r7c5{n8 n4} ==> r1c5≠4 stte

I tried to run gsf's program on the following three patterns for the three extra clues. No (non-minimal) puzzle found after 1 hour for each. Probably people with programs faster than gsf's will be more lucky than me.

Code: Select all: +-------+-------+-------+ ! X X X ! . . . ! . . . ! ! X X X ! . X . ! . . . ! ! X X X ! . . . ! . . . ! +-------+-------+-------+ ! . . . ! X X X ! . . . ! ! . . . ! X X X ! . X . ! ! . . . ! X X X ! . . . ! +-------+-------+-------+ ! . . . ! . . . ! X X X ! ! . X . ! . . . ! X X X ! ! . . . ! . . . ! X X X ! +-------+-------+-------+

Code: Select all: +-------+-------+-------+ ! X X X ! . . . ! . . . ! ! X X X ! . X . ! . . . ! ! X X X ! . . . ! . . . ! +-------+-------+-------+ ! . . . ! X X X ! . . . ! ! . . . ! X X X ! . X . ! ! . . . ! X X X ! . . . ! +-------+-------+-------+ ! . . . ! . . . ! X X X ! ! . . . ! . X . ! X X X ! ! . . . ! . . . ! X X X ! +-------+-------+-------+

Code: Select all: +-------+-------+-------+ ! X X X ! . . . ! . . . ! ! X X X ! . X . ! . . . ! ! X X X ! . . . ! . . . ! +-------+-------+-------+ ! . . . ! X X X ! . . . ! ! . . . ! X X X ! . X . ! ! . . . ! X X X ! . . . ! +-------+-------+-------+ ! . . . ! . . . ! X X X ! ! . . . ! X . . ! X X X ! ! . . . ! . . . ! X X X ! +-------+-------+-------+

Website · by **denis_berthier** » Wed May 25, 2022 5:44 am

.
Here are two trivial ones for the 3rd pattern:

Code: Select all: +-------+-------+-------+ ! 8 7 4 ! . . . ! . . . ! ! 2 5 6 ! . 3 . ! . . . ! ! 9 3 1 ! . . . ! . . . ! +-------+-------+-------+ ! . . . ! 8 2 3 ! . . . ! ! . . . ! 1 9 4 ! . 3 . ! ! . . . ! 7 6 5 ! . . . ! +-------+-------+-------+ ! . . . ! . . . ! 7 4 6 ! ! . . . ! 4 . . ! 1 2 9 ! ! . . . ! . . . ! 5 8 3 ! +-------+-------+-------+ 874......256.3....931.........823......194.3....765.........746...4..129......583 # 19 FN C30 SER = 2.3

Code: Select all: +-------+-------+-------+ ! 8 3 9 ! . . . ! . . . ! ! 1 5 2 ! . 6 . ! . . . ! ! 4 7 6 ! . . . ! . . . ! +-------+-------+-------+ ! . . . ! 5 3 4 ! . . . ! ! . . . ! 7 2 6 ! . 3 . ! ! . . . ! 1 8 9 ! . . . ! +-------+-------+-------+ ! . . . ! . . . ! 8 6 3 ! ! . . . ! 2 . . ! 7 1 4 ! ! . . . ! . . . ! 2 5 9 ! +-------+-------+-------+ 839......152.6....476.........534......726.3....189.........863...2..714......259 # 14 FNB C30 SER = 2.0

plus a slightly harder one:

Code: Select all: +-------+-------+-------+ ! 8 1 3 ! . . . ! . . . ! ! 9 6 4 ! . 7 . ! . . . ! ! 7 2 5 ! . . . ! . . . ! +-------+-------+-------+ ! . . . ! 5 8 4 ! . . . ! ! . . . ! 2 3 7 ! . 1 . ! ! . . . ! 1 6 9 ! . . . ! +-------+-------+-------+ ! . . . ! . . . ! 6 2 3 ! ! . . . ! 3 . . ! 8 5 1 ! ! . . . ! . . . ! 4 7 9 ! +-------+-------+-------+ 813......964.7....725.........584......237.1....169.........623...3..851......479 # 283 FNTY C30 SER = 7.1

by **coloin** » Wed May 25, 2022 10:31 am

Here are a few

Code: Select all: 851......437.8....962.........218.....3974......635.........5985.....647......231 ED=7.3/1.2/1.2 691.7....852......374.........398......417..9...256.........351......297.....3846 ED=7.3/1.2/1.2 294......368......571.........831......964......572.6.......9257.....638.....9741 ED=7.2/1.2/1.2 793......184...7..2653........658......931......247...8.....291......436......578 ED=7.2/1.2/1.2 875...9..694......312.........932......851......476..5.3....267......314......598 ED=7.1/1.2/1.2 398......247.6....615........4836......412......975.8.......312......498......675 ED=7.1/1.2/1.2 6718.....549...3..832........8912......678......543.........231......457......968 ED=6.8/1.2/1.2 216......938......4579........395......417......2687........932.....6851......647 ED=6.6/1.2/1.2 871......294.7....653.........8465.....395......217.........342.....3917......856 ED=6.6/1.2/1.2 871......294.1....653.........8465.....395......271.........342.....3917......856 ED=6.6/1.2/1.2 574......931...6..268.........594..2...317......862....1....867......235......914 ED=5.6/1.2/1.2 341....8.958......276.9.......976......315...7..248.........258......614......937 ED=4.6/1.2/1.2 256...9..491......738.1.......983......641......275.........597.4....316......842 ED=4.5/1.2/1.2 215......8472.....396.........917...7..862......534.9.......956......842......317 ED=4.4/1.2/1.2

by **SteveG48** » Wed May 25, 2022 1:53 pm

Code: Select all: *-----------------------------------------------------------* |b57 367 b24 | 3467 b45 a2356 | 8 9 1 | | 1579 c167 8 | 679 c159 ac56 | 2 3 4 | | 19 13 24 | 349 1489 238 | 5 6 7 | *-------------------+-------------------+-------------------| | 17 17 9 | 2 3 4 | 6 8 5 | | 4 8 3 | 5 6 9 | 1 7 2 | | 6 2 5 | 8 7 1 | 3 4 9 | *-------------------+-------------------+-------------------| | 2 5 7 | 346 4-8 a368 | 9 1 68 | | 8 9 6 | 1 2 7 | 4 5 3 | | 3 4 1 | 69 c589 a568 | 7 2 68 | *-----------------------------------------------------------*

A little different:
(8=3562)r1279c6 - (2=457)r1c135 - (7|5=1698)r2c256,r9c5 => -8 r7c5 ; stte

by **JPF** » Wed May 25, 2022 2:35 pm

FYI, the different ed patterns B1B5B9 + 3 clues have been studied here.

JPF

by **coloin** » Thu May 26, 2022 10:10 am

jovi_al01 wrote: ........... i've been running a search to look for puzzles with three full boxes and only three more given digits. i'm finding them to be quite rare!

Yes its quite difficult to find them de novo, JPF found the first one ...
however once one is found then a morphing program [gridchecker] can find others with the same pattern ...
A while back I found over 500 this way ..... of course its easy to add 3 clues to all the ED B159 and the projected number of ED puzzles was around 600
Removing clues from the B159 to give minimal puzzles might give harder puzzles but even when you can remove more than 2 clues - harder puzzles are not produced..

21C - 3 clues removed from each box

Code: Select all: +---+---+---+ |.3.|...|...| |951|...|..4| |.48|..2|...| +---+---+---+ |...|458|...| |6..|.9.|...| |...|71.|...| +---+---+---+ |...|...|278| |...|...|9..| |...|...|63.| +---+---+---+ ED=2.5/1.2/1.2

22C

Code: Select all: ..1.......37.8....962.........21......39.4......6.5..........985......47......231 22 ED=7.3/1.2/1.2 69..7....852......3.4.........3.8......4....9...256..........51......2.7.....384. 22 ED=7.3/1.2/1.2

27C

Code: Select all: 851......437.8....9.2..........18.....3974......635.........5.85.....647......231 27 ED=7.3/1.0/1.0 691.7....852......37..........398......417..9....56.........351.......97.....3846 27 ED=7.3/1.0/1.0

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