The New Sudoku Players' Forum

by **eleven** » Tue Oct 26, 2021 4:24 pm

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

by **P.O.** » Tue Oct 26, 2021 6:50 pm

Code: Select all: after singles: 8 6 4 9 7 5 1 2 3 23 5 7 13 6 123 4 9 8 23 9 1 c34+8 234 c23-8 5 7 6 4 37 58 358 2359 23789 a×28±9 6 1 1 2 568 d+4568 459 b+89 a8+9 3 7 9 37 f6+8 e13+68 23 12378 g+28 4 5 6 1 2 35 359 39 7 8 4 5 4 9 7 8 6 3 1 2 7 8 3 2 1 4 6 5 9

c7n9{r4 r5} - r5c6{n9 n8} - r3n8{c6 c4} - c4n4{r3 r5} - c4n6{r5 r6} - r6c3{n6 n8} - r6c7{n8 n2} => r4c7 <> 2
ste.

by **marek stefanik** » Tue Oct 26, 2021 7:16 pm

HP 89r5c67, then:

Code: Select all: .------------.-------------------.-----------. | 8 6 4 | 9 7 5 | 1 2 3 | | 23 5 7 | 13 6 123 | 4 9 8 | | 23 9 1 |b348 c234 238 | 5 7 6 | :------------+-------------------+-----------: | 4 37 #58 |#38–5 2359 23789 | 289 6 1 | | 1 2 #56 |#46–5 d45 89 | 89 3 7 | | 9 37 #68 |#1368 23 12378 | 28 4 5 | :------------+-------------------+-----------: | 6 1 2 |a35 39–5 39 | 7 8 4 | | 5 4 9 | 7 8 6 | 3 1 2 | | 7 8 3 | 2 1 4 | 6 5 9 | '------------'-------------------'-----------'

BUG-Lite 568r456c34, externals 5r7c4, 8r3c4
5r7c4 == (8–4)r3c4 = 4r3c5 – (4=5)r5c5 => –5r45c4, r7c5

Code: Select all: .------------.-------------------.-----------. | 8 6 4 | 9 7 5 | 1 2 3 | | 23 5 7 |a13 6 123 | 4 9 8 | | 23 9 1 | 348 234 238 | 5 7 6 | :------------+-------------------+-----------: | 4 e37 58 | 8–3 2359 d23789 | 289 6 1 | | 1 2 56 | 46 45 89 | 89 3 7 | | 9 37 68 |b1368 23 c12378 | 28 4 5 | :------------+-------------------+-----------: | 6 1 2 | 5 39 39 | 7 8 4 | | 5 4 9 | 7 8 6 | 3 1 2 | | 7 8 3 | 2 1 4 | 6 5 9 | '------------'-------------------'-----------'

(3=1)r2c4 – 1r6c4 = (1–7)r6c6 = 7r4c6 – (7=3)r4c2 => –3r4c4, stte

Marek

by **jco** » Tue Oct 26, 2021 7:23 pm

Code: Select all: .--------------------------------------------. | 8 6 4 | 9 7 5 | 1 2 3 | | 23 5 7 | 13 6 123 | 4 9 8 | | 23 9 1 |c348 234 d238 | 5 7 6 | |------------+-------------------+-----------| | 4 37 58 | 358 2359 23789 | 289 6 1 | | 1 2 b56 |c456 45 e89 |f89 3 7 | | 9 37 a68 | 1368 23 1237-8| 2-8 4 5 | |------------+-------------------+-----------| | 6 1 2 | 35 359 39 | 7 8 4 | | 5 4 9 | 7 8 6 | 3 1 2 | | 7 8 3 | 2 1 4 | 6 5 9 | '--------------------------------------------'

AHS M-wing with transport (8=6)r6c3 - r5c3 = (64-8)r53c4 = (8*)r3c6 - r5c6 = (8)r5c7 => -8 r6c7, -8* r6c6; ste

by **Leren** » Tue Oct 26, 2021 7:44 pm

Code: Select all: *----------------------------------------* | 8 6 4 | 9 7 5 | 1 2 3 | | 23* 5 7 |c13 6 b123* | 4 9 8 | | 23* 9 1 |f34-8 234 a238* | 5 7 6 | |-----------+------------------+---------| | 4 37 58 | 358 2359 23789 | 289 6 1 | | 1 2 56 |e456 45 89 | 89 3 7 | | 9 37 68 |d1368 23 12378 | 28 4 5 | |-----------+------------------+---------| | 6 1 2 | 35 359 39 | 7 8 4 | | 5 4 9 | 7 8 6 | 3 1 2 | | 7 8 3 | 2 1 4 | 6 5 9 | *----------------------------------------*

AUR (23) r23c16 : (8) r3c6 = UR = (1) r2c6 - r2c4 = (1-6) r6c4 = (6-4) r5c4 = (4)r3c4 => - 8 r3c4; stte

Leren

by **Cenoman** » Tue Oct 26, 2021 8:59 pm

Code: Select all: +-----------------+------------------------+------------------+ | 8 6 4 | 9 7 5 | 1 2 3 | | 23 5 7 | a13 6 123 | 4 9 8 | | 23 9 1 | 348 234 238 | 5 7 6 | +-----------------+------------------------+------------------+ | 4 37 b58 | a358 2359 23789 | 289 6 1 | | 1 2 c56 | d456 d45 89 | 89 3 7 | | 9 37 68 | d68-13 23 12378 | 28 4 5 | +-----------------+------------------------+------------------+ | 6 1 2 | a35 359 39 | 7 8 4 | | 5 4 9 | 7 8 6 | 3 1 2 | | 7 8 3 | 2 1 4 | 6 5 9 | +-----------------+------------------------+------------------+

(135=8)r247c4 - (8=5)r4c3 - r5c3 = (546)b5p457 => -13 r6c4; ste

by **RSW** » Tue Oct 26, 2021 10:03 pm

Code: Select all: +----------+-------------------+---------+ | 8 6 4 | 9 7 5 | 1 2 3 | |#23 5 7 |a13 6 b#123 | 4 9 8 | |#23 9 1 | 34-8 234 c#238 | 5 7 6 | +----------+-------------------+---------+ | 4 37 58 |a358 2359 2379-8 | 289 6 1 | | 1 2 56 | 456 45 9-8 | 89 3 7 | | 9 37 68 | 1368 23 1237-8 | 28 4 5 | +----------+-------------------+---------+ | 6 1 2 |a35 359 39 | 7 8 4 | | 5 4 9 | 7 8 6 | 3 1 2 | | 7 8 3 | 2 1 4 | 6 5 9 | +----------+-------------------+---------+

UR(23)r23c16
(8=531)r247c4 - (1)r2c6 == (8)r3c6 => -8r3c4 -8r456c6; stte

by **jovi_al01** » Wed Oct 27, 2021 4:56 am

fun one! a bit tricky for me

after singles / basics:

Code: Select all: .------------.-------------------.-----------. | 8 6 4 | 9 7 5 | 1 2 3 | | 23 5 7 | 13 6 123 | 4 9 8 | | 23 9 1 | 348 234 238 | 5 7 6 | :------------+-------------------+-----------: | 4 *37 58 | 358 2359 *23789 | 289 6 1 | | 1 2 56 | 456 45 89 | 89 3 7 | | 9 *37 68 | 1368 23 *12378 | 28 4 5 | :------------+-------------------+-----------: | 6 1 2 | 35 359 39 | 7 8 4 | | 5 4 9 | 7 8 6 | 3 1 2 | | 7 8 3 | 2 1 4 | 6 5 9 | '------------'-------------------'-----------'

UR Type 4 (37r46c26): r46c6<>3

not sure what to call this next deduction, but i think it's neat!

Code: Select all: .------------.------------------.-----------. | 8 6 4 | 9 7 5 | 1 2 3 | |*23 5 7 |#13 6 *123 | 4 9 8 | |*23 9 1 | 348 234 *238 | 5 7 6 | :------------+------------------+-----------: | 4 37 58 | 358 2359 2789 | 289 6 1 | | 1 2 56 | 456 45 ~89 | 89 3 7 | | 9 37 68 | 1368 23 1278 | 28 4 5 | :------------+------------------+-----------: | 6 1 2 | 35 359 3-9 | 7 8 4 | | 5 4 9 | 7 8 6 | 3 1 2 | | 7 8 3 | 2 1 4 | 6 5 9 | '------------'------------------'-----------'

(3)r2c4 => Hidden Single 3 in c6 => 3r7c6
||
(1)r2c4 => UR Type 1 (23r23c16): 8r3c6 => 9r5c6 => 3r7c6

after a few singles:

Code: Select all: .------------.-----------------.-----------. | 8 6 4 | 9 7 5 | 1 2 3 | | 23 5 7 |c13 6 b12 | 4 9 8 | | 23 9 1 | 34-8 234 a28 | 5 7 6 | :------------+-----------------+-----------: | 4 37 58 |d38 235 279-8| 289 6 1 | | 1 2 56 | 46 45 9-8 | 89 3 7 | | 9 37 68 | 1368 23 127-8| 28 4 5 | :------------+-----------------+-----------: | 6 1 2 | 5 9 3 | 7 8 4 | | 5 4 9 | 7 8 6 | 3 1 2 | | 7 8 3 | 2 1 4 | 6 5 9 | '------------'-----------------'-----------'

XY-Chain:
(8=2)r3c6 - (2=1)r2c6 - (1=3)r2c4 - (3=8)r4c4 => 8r3c6 = 8r4c4 => r3c4<>8, r456c6<>8

stte!

by **shye** » Wed Oct 27, 2021 12:16 pm

got the same solution as jco at first, so i looked for something else and ended up with mareks solution :lol:

fun puzzle, regardless :>

by **eleven** » Wed Oct 27, 2021 6:11 pm

Thanks again for these variant solutions.
The two i spotted were the one by RSW and this (similar to Cenoman's):

Code: Select all: +-------------------+--------------------+-------------------+ | 8 6 4 | 9 7 5 | 1 2 3 | | 23 5 7 |b 13 6 123 | 4 9 8 | | 23 9 1 | 348 234 238 | 5 7 6 | +-------------------+--------------------+-------------------+ | 4 37 c 58 |b 358 2359 2789 | 289 6 1 | | 1 2 56 | 456 45 89 | 89 3 7 | | 9 37 da68 |ba1368 23 127-8 | 2-8 4 5 | +-------------------+--------------------+-------------------+ | 6 1 2 |b 35 359 39 | 7 8 4 | | 5 4 9 | 7 8 6 | 3 1 2 | | 7 8 3 | 2 1 4 | 6 5 9 | +-------------------+--------------------+-------------------+

68r6c34 = 1358r6274c4 - r4c3 = 8r6c3 => -8r6c67, stte

@jovi: 3r7c6 = r2c6 - (3=1)r2c4 - (1=8)UR23r23c16 - (8=93)r57c7

J