The New Sudoku Players' Forum

by **P.O.** » Fri Jan 06, 2023 11:49 am

a reduced playing area but the game remains playable, i think.

Code: Select all: 3 1 6 4 . . 8 . 2 9 8 7 6 . . . 1 . 2 4 5 8 . . . . . 8 3 4 1 . . . . . 5 2 9 3 . 7 . 4 . 7 6 1 5 . . 9 . . 4 7 2 9 . . . . 6 1 9 8 2 . . 5 . . 6 5 3 7 . . . . . 3164..8.29876...1.2458.....8341.....5293.7.4.7615..9..4729....61982..5..6537..... 3 1 6 4 579 59 8 579 2 9 8 7 6 235 235 34 1 345 2 4 5 8 1379 139 367 3679 379 8 3 4 1 269 269 267 2567 57 5 2 9 3 68 7 16 4 18 7 6 1 5 248 248 9 238 38 4 7 2 9 1358 1358 13 38 6 1 9 8 2 346 346 5 37 347 6 5 3 7 148 148 124 289 1489

by **Cenoman** » Fri Jan 06, 2023 5:50 pm

Two steps:

Code: Select all: +-----------------+---------------------+----------------------+ | 3 1 6 | 4 579 59 | 8 579 2 | | 9 8 7 | 6 235 235 | 34 1 345 | | 2 4 5 | 8 1379 139 | 367 3679 379 | +-----------------+---------------------+----------------------+ | 8 3 4 | 1 269 269 | 267 2567 57 | | 5 2 9 | 3 68 7 | b16 4 c18 | | 7 6 1 | 5 248 248 | 9 dc238 c38 | +-----------------+---------------------+----------------------+ | 4 7 2 | 9 1358 1358 | a13 d38 6 | | 1 9 8 | 2 346 346 | 5 37 347 | | 6 5 3 | 7 148 148 | 124 289 1489 | +-----------------+---------------------+----------------------+

1. (3=1)r7c7 - r5c7 = (138)b6p689 - (2=83)r67c8 => -3 r8c8; lcls, 2 placements

Code: Select all: +-----------------+---------------------+---------------------+ | 3 1 6 | 4 7 59 | 8 a59 2 | | 9 8 7 | 6 235 235 | 34 1 345 | | 2 4 5 | 8 139 139 | 367 369 d379 | +-----------------+---------------------+---------------------+ | 8 3 4 | 1 269 269 | 267 b256 c57 | | 5 2 9 | 3 68 7 | 16 4 18 | | 7 6 1 | 5 248 248 | 9 238 38 | +-----------------+---------------------+---------------------+ | 4 7 2 | 9 1358 1358 | 13 38 6 | | 1 9 8 | 2 346 346 | 5 7 34 | | 6 5 3 | 7 148 148 | 124 28-9 e1489 | +-----------------+---------------------+---------------------+

2. (9=5)r1c8 - r4c8 = (5-7)r4c9 = (7-9)r3c9 = (9)r9c9 => -9 r9c8; ste

by **jco** » Fri Jan 06, 2023 6:10 pm

Also two steps.

Code: Select all: .--------------------------------------------------------------. | 3 1 6 | 4 579 59 | 8 579 2 | | 9 8 7 | 6 235 235 | 34 1 345 | | 2 4 5 | 8 1379 139 | 367 3679 379 | |-------------------+---------------------+--------------------| | 8 3 4 | 1 269 269 | 267 2567 57 | | 5 2 9 | 3 68 7 | 16 4 d1-8 | | 7 6 1 | 5 482# 482# | 9 a23(8) a3(8) | |-------------------+---------------------+--------------------| | 4 7 2 | 9 1358 1358 | 13 38 6 | | 1 9 8 | 2 346 346 | 5 37 347 | | 6 5 3 | 7 b48(1)# b48(1)#| 124 289 c1489 | '--------------------------------------------------------------'

UR(48)r69c56 using mixed external, internal
1. (8)r6c89 =UR= (1)r9c56 - (1)r9c9 = (1)r5c9 => -8 r5c9 [6 placements and basics]
-----

Code: Select all: .-----------------------------------------------------------. | 3 1 6 | 4 7 59 | 8 b59 2 | | 9 8 7 | 6 235 235 | 34 1 345 | | 2 4 5 | 8 139 139 | 37 6 a39-7 | |-------------------+-------------------+-------------------| | 8 3 4 | 1 69 69 | 27 c25 d57 | | 5 2 9 | 3 8 7 | 6 4 1 | | 7 6 1 | 5 24 24 | 9 38 38 | |-------------------+-------------------+-------------------| | 4 7 2 | 9 135 1358 | 13 38 6 | | 1 9 8 | 2 346 346 | 5 7 34 | | 6 5 3 | 7 14 148 | 124 29 489 | '-----------------------------------------------------------'

2. (9)r3c9 = (9-5)r1c8 = (5)r4c8 - (5=7)r4c9 => -7 r3c9; ste

by **P.O.** » Sun Jan 08, 2023 9:20 am

thank you for your answers, my solution:

Code: Select all: 345r2c9 => r9c8 <> 9 r2c9=3 - r6c9{n3 n8} - r5c9{n8 n1} - r5c7{n1 n6} - r3c7{n36 n7} - r4c7{n67 n2} - r9n2{c7 c8} r2c9=4 - c7n4{r2 r9} - r9n2{c7 c8} r2c9=5 - r4c9{n5 n7} - c7n7{r4 r3} - r1c8{n57 n9} ste.

Puzzle 85