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by **SteveG48** » Mon Sep 12, 2022 4:13 pm

Code: Select all: *-----------* |18.|2..|...| |..9|8..|..6| |.25|...|...| |---+---+---| |..4|15.|..3| |..2|647|8..| |6..|.38|5..| |---+---+---| |...|...|46.| |5..|..4|1..| |...|..6|.38| *-----------*

by **RSW** » Mon Sep 12, 2022 5:42 pm

Code: Select all: +----------+-------------+------------+ | 1 8 6 | 2 79 359 | 379 459 47 | | 4 3 9 | 8 b17 15 |*2-7 125 6 | | 7 2 5 | 4 6 139 | 39 8 19 | +----------+-------------+------------+ | 8 9 4 | 1 5 2 | 6 7 3 | | 3 5 2 | 6 4 7 | 8 19 19 | | 6 17 17 | 9 3 8 | 5 24 24 | +----------+-------------+------------+ | 29 17 38 | 37 1289 19 | 4 6 5 | | 5 6 38 | 37 289 4 | 1 29 27 | |a29 4 17 | 5 a129 6 |a279 3 8 | +----------+-------------+------------+

(7=291)r9c157 - (1=7)r2c5 => -7r2c7; stte

by **Cenoman** » Mon Sep 12, 2022 8:01 pm

Code: Select all: +-----------------+--------------------+-------------------+ | 1 8 6 | 2 79 359* | 379* 459 47 | | 4 3 9 | 8 17 15 | 27 125 6 | | 7 2 5 | 4 6 139* | 39* 8 19 | +-----------------+--------------------+-------------------+ | 8 9 4 | 1 5 2 | 6 7 3 | | 3 5 2 | 6 4 7 | 8 19 19 | | 6 17 17 | 9 3 8 | 5 24 24 | +-----------------+--------------------+-------------------+ | 29 17 38 | 37 1289 a9-1 | 4 6 5 | | 5 6 38 | 37 289 4 | 1 29 27 | | c29 4 17 | 5 c129 6 | b279 3 8 | +-----------------+--------------------+-------------------+

UR (39)r13c67 using externals:
(9)r7c6 == (9)r9c7 - (9=21)r9c15 => -1 r7c6; ste

by **Leren** » Mon Sep 12, 2022 8:29 pm

Code: Select all: *---------------------------------------* | 1 8 6 | 2 79 359 | 379 459 47 | | 4 3 9 | 8 a17 15 | 2-7 125 6 | | 7 2 5 | 4 6 139 | 39 8 19 | |-----------+--------------+------------| | 8 9 4 | 1 5 2 | 6 7 3 | | 3 5 2 | 6 4 7 | 8 19 19 | | 6 17 17 | 9 3 8 | 5 24 24 | |-----------+--------------+------------| | 29 17 38 | 37 1289 19 | 4 6 5 | | 5 6 38 | 37 289 4 | 1 29 27 | | 29 4 c17 | 5 b129 6 |d279 3 8 | *---------------------------------------*

M Wing Type 2A : (7=1) r2c5 - r7c5 = (1 - 7) r9c3 = (7) r9c7 => - 7 r2c7; stte

Leren

by **jco** » Tue Sep 13, 2022 1:42 am

After basics

Code: Select all: .------------------------------------------------------------. | 1 8 6 | 2 g79 35-9 | 379 459 f47 | | 4 3 9 | 8 17 15 | 27 125 6 | | 7 2 5 | 4 6 13-9 | 39 8 19 | |-------------------+--------------------+-------------------| | 8 9 4 | 1 5 2 | 6 7 3 | | 3 5 2 | 6 4 7 | 8 19 19 | | 6 17 17 | 9 3 8 | 5 24 24 | |-------------------+--------------------+-------------------| | 29 b17 38 | 37 128-9 a19 | 4 6 5 | | 5 6 38 | 37 28-9 4 | 1 29 e27 | | 29 4 c17 | 5 12-9 6 |d279 3 8 | '------------------------------------------------------------'

1. (9=1)r7c6 - (1=7)r7c2 - (7)r9c3 = (7)r9c7 - (7)r8c9 = (7)r1c9 - (7=9)r1c5 => -9 r789c5, -9 r13c6; ste

by **P.O.** » Tue Sep 13, 2022 4:51 am

Code: Select all: ( n9r6c4 n2r4c6 n4r3c4 n5r7c9 n5r9c4 n5r5c2 n6r4c7 n6r3c5 n6r8c2 n6r1c3 n8r4c1 n8r3c8 n3r5c1 n9r4c2 n7r3c1 n7r4c8 n4r2c1 n3r2c2 n4r9c2 ) intersections: ((((7 0) (7 4 8) (3 7)) ((7 0) (8 4 8) (3 7))) (((3 0) (7 4 8) (3 7)) ((3 0) (8 4 8) (3 7))) (((1 0) (5 8 6) (1 9)) ((1 0) (5 9 6) (1 9)))) PAIR COL: ((6 3 4) (1 7)) ((9 3 7) (1 7)) (((7 3 7) (1 3 7 8)) ((8 3 7) (3 7 8))) PAIR COL: ((3 9 3) (1 9)) ((5 9 6) (1 9)) (((1 9 3) (4 7 9)) ((8 9 9) (2 7 9))) r9n1{c5 c3} - r9n7{c3 c7} - r2n7{c7 c5} => r2c5 <> 1 ste.

an easy solution with templates:

Hidden Text: Show

Code: Select all: after initialization calculation of valid templates eliminates some candidates: #VT: (7 5 4 2 2 1 5 2 13) Cells: nil nil nil nil nil nil nil nil nil Candidates:(53 54) nil (60) nil nil nil (59 68 77) nil nil (n1r6c8 n1r6c9) n3r7c6 (n7r7c5 n7r8c5 n7r9c5) templates for values 1 and 7: #VT(7 5 4 2 2 1 5 2 13) 1...............1......1......1.............1..1.......1.............1......1.... 1...............1......1......1.............1.1...........1..........1....1...... 1...............1......1......1.............1.1.........1............1......1.... 1.............1...........1...1............1...1.......1.............1......1.... 1.............1...........1...1............1..1...........1..........1....1...... 1.............1...........1...1............1..1.........1............1......1.... 1............1............1...1............1..1............1.........1....1...... ........7....7....7...............7......7.....7.......7..........7...........7.. ........7....7....7...............7......7....7..........7.......7............7.. ........7....7....7...............7......7....7.........7.........7...........7.. ......7......7....7...............7......7....7..........7.............7..7...... ....7..........7..7...............7......7....7..........7.............7..7...... after the compatibility test one template for value 1 is eliminated eliminating n1 from r2c5 and r7c6 #VT(6 5 4 2 2 1 5 2 13) 1...............1......1......1.............1..1.......1.............1......1.... 1...............1......1......1.............1.1...........1..........1....1...... 1...............1......1......1.............1.1.........1............1......1.... 1.............1...........1...1............1...1.......1.............1......1.... 1.............1...........1...1............1..1...........1..........1....1...... 1.............1...........1...1............1..1.........1............1......1.... ........7....7....7...............7......7.....7.......7..........7...........7.. ........7....7....7...............7......7....7..........7.......7............7.. ........7....7....7...............7......7....7.........7.........7...........7.. ......7......7....7...............7......7....7..........7.............7..7...... ....7..........7..7...............7......7....7..........7.............7..7...... #VT: (6 5 4 2 2 1 5 2 13) Cells: nil nil nil nil nil nil nil nil nil Candidates:(14 60) nil nil nil nil nil nil nil nil EraseCC: ( n7r2c5 n2r2c7 n9r7c6 n9r1c5 n2r7c1 n9r9c1 n7r9c7 n3r1c7 n9r3c7 n1r3c9 n9r5c9 n2r8c9 n1r9c3 n2r9c5 n5r1c6 n4r1c8 n7r1c9 n1r2c6 n5r2c8 n3r3c6 n1r5c8 n7r6c3 n2r6c8 n4r6c9 n7r7c2 n3r7c4 n7r8c4 n8r8c5 n9r8c8 n1r6c2 n8r7c3 n1r7c5 n3r8c3 ) 1 8 6 2 9 5 3 4 7 4 3 9 8 7 1 2 5 6 7 2 5 4 6 3 9 8 1 8 9 4 1 5 2 6 7 3 3 5 2 6 4 7 8 1 9 6 1 7 9 3 8 5 2 4 2 7 8 3 1 9 4 6 5 5 6 3 7 8 4 1 9 2 9 4 1 5 2 6 7 3 8

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