The New Sudoku Players' Forum

by **eleven** » Thu Oct 31, 2019 6:46 pm

Code: Select all: +-------------------+ | . . 2 . 8 . . . . | | . 6 . . . . . 7 . | | 4 . 7 6 . 2 9 . . | | 1 . 8 9 . 4 2 . . | | . . . . . . . . 3 | | 5 . . . . . . . 9 | | . . . 4 2 8 . . 7 | | . 1 . . . . . 2 . | | . . 9 . 6 . . . . | +-------------------+

(Harder without 6r3c4, but for me no difference for a 1-stepper.)

by **SpAce** » Thu Oct 31, 2019 10:48 pm

Code: Select all: .-----------------.---------------------.----------------------. | 39 59 2 | 13567 8 13579 | 3456 3456 1456 | | b3(8)9 6 1 | e35 4 e359 | f3{5}-8 7 2 | | 4 c58 7 | 1356 e15 2 | 9 3568 1568 | :-----------------+---------------------+----------------------: | 1 7 8 | 9 3 4 | 2 56 56 | | 29 249 6 | 28 157 15 | 478 148 3 | | 5 c24 3 | 28 d17 6 | Ad47[8] 148 9 | :-----------------+---------------------+----------------------: | 6 3 5 | 4 2 8 | 1 9 7 | | 78 1 4 | 357 9 357 | 3568 2 568 | | 278 c28 9 | 1357 6 1357 | 3458 3458 458 | '-----------------'---------------------'----------------------'

(8)r6c7 = [(8)r2c1 = (824)r396c2 - (4=71)r6c75 - (15)b2p846 = (5)r2c7] => -8 r2c7; stte

by **Cenoman** » Fri Nov 01, 2019 3:38 pm

w/o 6r3c4 as a given (same solution with)

Code: Select all: +-------------------+------------------------+-----------------------+ | 39 59 2 | 13567 8 13579 | 3456 3456 1456 | |Cd389 6 1 | C35 4 C359 | 35-8 7 2 | | 4 c58 7 | 1356 B15 2 | 9 3568 1568 | +-------------------+------------------------+-----------------------+ | 1 7 8 | 9 3 4 | 2 56 56 | | 29 249 6 | 28 157 15 | 478 148 3 | | 5 b24 3 | 28 B17 6 |Aa478z 148 9 | +-------------------+------------------------+-----------------------+ | 6 3 5 | 4 2 8 | 1 9 7 | | 78 1 4 | 357 9 357 | 3568 2 568 | | 278 b28 9 | 1357 6 1357 | 3458 3458 458 | +-------------------+------------------------+-----------------------+

Kraken cell (478)r6c7
(4)r6c7 - (4=28)r69c2 - r3c2 = (8)r2c1
(7)r6c7 - (7=15)r36c5 - (5=398)r2c146
(8)r6c7
=> -8 r2c7; ste

by **eleven** » Fri Nov 01, 2019 4:46 pm

My 1-stepper uses (almost) the same cells as SpAce and Cenoman.

Code: Select all: *----------------------------------------------------------------* | 39 59 2 | 1357 8 13579 | 456 456 1456 | | 389 6 1 | 35 4 359 |fa58 7 2 | | 4 c58 7 | 6 f15 2 | 9 3 b158 | |-----------------+-----------------------+----------------------| | 1 7 8 | 9 3 4 | 2 56 56 | | 29 249 6 | 28 157 15 | 478 148 3 | | 5 d24 3 | 28 e17 6 | e478 148 9 | |-----------------+-----------------------+----------------------| | 6 3 5 | 4 2 8 | 1 9 7 | | 78 1 4 | 357 9 357 | 3568 2 568 | | 278 d28 9 | 1357 6 1357 | 3458 458 458 | *----------------------------------------------------------------* (5=8)r2c7 - r3c9 = r3c2 - (8=24)r69c2 - (4=1|8)r5c57 - (18=5)r2c7,r3c5 => -5r2c46,r3c9; stte

However i like this solution more using the uniqueness pattern in r56.

Code: Select all: +-----------------------+ | . . 2 | . 8 . | . . . | | . 6 1 | . 4 . | . 7 2 | | 4 . 7 | 6 . 2 | 9 3 . | +------ |------ |-------+ | 1 . 8 | 9 3 4 | 2 . . | | # . 6 | . . # | . . 3 | <-- | 5 . 3 | . . 6 | . . 9 | <-- +------ |------ |-------+ | 6 3 5 | 4 2 8 | 1 9 7 | | . 1 . | . . . | . 2 . | | . . 9 | . 6 . | . . . | +-----------------------+

r5c16 cannot be 95.

Step 1:
Finned x-wing 8 r39c29, fin r8c9 => -8r9c8

Code: Select all: +-----------------------+ | . . 2 | . 8 . | . . . | | . 6 1 | . 4 . | . 7 2 | | 4 * 7 | 6 . 2 | 9 3 * | +------ |------ |-------+ | 1 . 8 | 9 3 4 | 2 . . | | . . 6 | . . . | . . 3 | | 5 . 3 | . . 6 | . . 9 | +------ |------ |-------+ | 6 3 5 | 4 2 8 | 1 9 7 | | . 1 . | . . . | . 2 * | | . * 9 | . 6 . | . - * | +-----------------------+

Step2:
DP r56: 9r5c2 = 5r5c5

Code: Select all: +----------------------+----------------------+----------------------+ | 39 a59 2 | 1357 8 13579 |b456 b1456 b1456 | | 389 6 1 | 35 4 359 | 58 7 2 | | 4 58 7 | 6 d15 2 | 9 3 c158 | +----------------------+----------------------+----------------------+ | 1 7 8 | 9 3 4 | 2 56 56 | |#29 a24+9 6 | 28 e17+5 #15 | 478 148 3 | | 5 24 3 | 28 17 6 | 478 148 9 | +----------------------+----------------------+----------------------+ | 6 3 5 | 4 2 8 | 1 9 7 | | 78 1 4 | 357 9 357 | 3568 2 568 | | 278 28 9 | 1357 6 1357 | 3458 45 458 | +----------------------+----------------------+----------------------+

5r5c5 == 95r51c2 - (5=461)r1c789 - r3c9 = (1-5)r3c5 = r5c5 => 5r5c5, stte

[Added:] Without 6r3c4 a bit longer.

Code: Select all: +----------------------+----------------------+----------------------+ | 39 a59 2 | 13567 8 13579 | 3456 3456 1456 | | 389 6 1 |d35 4 d359 |c358 7 2 | | 4 a58 7 | 1356 e15 2 | 9 b3568 b1568 | +----------------------+----------------------+----------------------+ | 1 7 8 | 9 3 4 | 2 56 56 | | 29 a24+9 6 | 28 f17+5 15 | 478 148 3 | | 5 24 3 | 28 17 6 | 478 148 9 | +----------------------+----------------------+----------------------+ | 6 3 5 | 4 2 8 | 1 9 7 | | 78 1 4 | 357 9 357 | 3568 2 568 | | 278 28 9 | 1357 6 1357 | 3458 345 458 | +----------------------+----------------------+----------------------+

5r5c5 == 958r513c2 - r3c89 = (8-5)r2c7 = r2c46 - r3c5 = r5c5 => 5r5c5, stte

Hello wean 1