The New Sudoku Players' Forum

by **mith** » Mon Jul 20, 2020 2:14 pm

A couple more (also posted on the repo):

Code: Select all: ........1.....2.....1345.....36....7.2.....8.9.....5....6.7...3.8.....2.5.....9.. 9.7/9.7/9.3 - Dynamic Contradiction Forcing Chains

Code: Select all: ........1.......23..1..245...3..5..2.4..6....7..8.......5..9.1..8..7....6..4..... 11.5/11.5/11.2 - Dynamic Contradiction Forcing Chains (+ Multiple Forcing Chains) minlex form of 1.......7.2.4...6...3...5...4.2.9.......46.9....5.......7...1...8.9...2.5.......3;11.50;11.50;11.20;col;H6;133;21;

by **tarek** » Thu Jul 23, 2020 11:26 pm

Code: Select all: Nishio Forcing Chain ER=8.1 5.9..3.67....9..8..3...........495...4...613.8.7..1.....1.8......2....5.9.....6.3 +----------------+----------------+----------------+ | 8 7 159 | 4 59 6 | 2 3 19 | | 3 159 4 | 159 2 7 | 69 1569 8 | | 29 6 1259 | 19 3 8 | 7 159 4 | +----------------+----------------+----------------+ | 5 139 139 | 2 19 4 | 8 7 6 | | 7 129 8 | 59 6 159 | 3 4 29 | | 269 4 26 | 7 8 3 | 5 19 129 | +----------------+----------------+----------------+ | 4 389 39 | 6 7 2 | 1 89 5 | | 1 2589 2569 | 3 4 59 | 69 2689 7 | | 69 259 7 | 8 159 159 | 4 269 3 | +----------------+----------------+----------------+

Code: Select all: Forcing Chain ER=7.5 ...3...64..5..42...41....871..4.5..8.....7.2..9.23...6.1.....7.4.2.7.6..9.75.6... +----------------+----------------+----------------+ | 28 7 9 | 3 128 128 | 5 6 4 | | 368 36 5 | 7 89 4 | 2 139 139 | | 23 4 1 | 6 5 29 | 39 8 7 | +----------------+----------------+----------------+ | 1 2 36 | 4 69 5 | 7 39 8 | | 56 3568 3468 | 189 1689 7 | 1349 2 139 | | 7 9 48 | 2 3 18 | 14 5 6 | +----------------+----------------+----------------+ | 356 1 368 | 89 4 2389 | 389 7 2359 | | 4 358 2 | 189 7 1389 | 6 139 159 | | 9 38 7 | 5 12 6 | 138 4 123 | +----------------+----------------+----------------+

Code: Select all: 5 Strong links 001111 ER=6.3 Formerly Forcing X-Chain ER=6.9 ......75....6....9415..9..6..8...5.....4.....9.3.1..8..6.3.19..7.9...3..83.5..4.. +----------------+----------------+----------------+ | 236 9 26 | 1 348 348 | 7 5 234 | | 23 8 7 | 6 345 2345 | 1 234 9 | | 4 1 5 | 27 237 9 | 8 23 6 | +----------------+----------------+----------------+ | 26 47 8 | 9 2367 236 | 5 347 1 | | 1 57 26 | 4 578 3578 | 26 9 37 | | 9 457 3 | 27 1 2567 | 26 8 47 | +----------------+----------------+----------------+ | 5 6 4 | 3 27 1 | 9 27 8 | | 7 2 9 | 8 46 46 | 3 1 5 | | 8 3 1 | 5 9 27 | 4 6 27 | +----------------+----------------+----------------+

by **mith** » Wed Aug 19, 2020 2:52 am

mith wrote:A couple more (also posted on the repo):

Code: Select all
........1.....2.....1345.....36....7.2.....8.9.....5....6.7...3.8.....2.5.....9.. 9.7/9.7/9.3 - Dynamic Contradiction Forcing Chains

Code: Select all
........1.......23..1..245...3..5..2.4..6....7..8.......5..9.1..8..7....6..4..... 11.5/11.5/11.2 - Dynamic Contradiction Forcing Chains (+ Multiple Forcing Chains) minlex form of 1.......7.2.4...6...3...5...4.2.9.......46.9....5.......7...1...8.9...2.5.......3;11.50;11.50;11.20;col;H6;133;21;

Code: Select all: ..............1..2.13.4..5...6..3....751...3.8...5.....47....1..5.7..9..6..4..5.. ED=11.6/1.2/1.2 (DCFC+MFC)

by **m_b_metcalf** » Wed Aug 19, 2020 8:11 am

mith wrote:
Code: Select all
..............1..2.13.4..5...6..3....751...3.8...5.....47....1..5.7..9..6..4..5.. ED=11.6/1.2/1.2 (DCFC+MFC)

To the best of my knowledge, neither this pattern nor this rating has ever appeared in the patterns game, so what's the point you're trying to make?

Regards,

Mike

by **mith** » Wed Aug 19, 2020 4:26 pm

Sorry, this was a follow-up to tarek's posts. We probably do need a new thread for this.

It's an 11.6 that is "only" D*FC+MFC.

by **1to9only** » Tue Aug 25, 2020 11:01 am

Here is my list of the SE (using 1.2.1.3) Technique Records, on the highest number of times a technique is used to solve a puzzle submitted in the Patterns Game (394) to date.
In the list, where there are 2 puzzles - the first puzzle is when a record first appeared and the second puzzle is when the record was last matched.
The ED ratings (range) shown for the techniques are from the listed puzzles only.

Hidden Single -> ED=1.0 - ED=1.5 ===> x62

Code: Select all: .......1......1.23..4.5.......6...4...5.1.7...8...3.......4.2..62.7......3....... x62 # 0032 1 1.5/1.2/1.2 - Mauricio 1............2..3...45..6....67......2..3..8......47....7..64...3..8............2 x62 # 0381 22 7.3/1.2/1.2 - m_b_metcalf

Direct Pointing -> ED=1.7 ===> x3

Code: Select all: .......6......1.23..4.5.......9...4...5.1.7...8...2.......4.9..62.8......7....... x3 # 0032 2 7.2/1.2/1.2 - gsf ..12......2..1....3....45..6..7..2...1.....6...4..1..8..93..7......5...4.....9.5. x3 # 0393 84 3.0/2.8/2.8 + 1to9only

Direct Hidden Pair -> ED=2.0 ===> x14

Code: Select all: ............1.234....3.451..26...17...........87...42..185.3....357.8............ x14 # 0113 5 2.0/2.0/2.0 - joel64

Naked Single -> ED=2.3 ===> x8

Code: Select all: ......7...1...3.9...9.8...5...9...2...6.7.4...3...5...5...4.6...9.2...1...7.....2 x8 # 0091 11 9.4/9.4/9.4 - gsf ...........1.2.3...2.4.5.6...26..1...4...7.8...7.9.6...6.9.8.5...5.7.9........... x8 # 0336 42 9.7/9.7/8.8 - Robbie

Direct Hidden Triplet -> ED=2.5 ===> x5

Code: Select all: ..........1.234.5...2...3...6.5.7.4..4.....1..5.8.1.3...6...4...7.125.6.......... x5 # 0009 25 3.6/1.2/1.2 - TTHsieh

Pointing -> ED=2.6 ===> x18

Code: Select all: ......12....34......5...67..4......5.8..6...7.....1...1.2...4..6.8.........95.... x18 # 0049 12 7.4/2.6/2.6 - JPF 1.....23......4.56....6...7.5.3...1.2.8...3..6..9.8....89.7......2..5......89...4 x18 # 0325 54 6.9/6.9/2.6 - champagne

Claiming -> ED=2.8 ===> x10

Code: Select all: 94.8.....1.8...4...62....8.6..9...1.....5.2.......3..7.1..2.3....96...4......7..5 x10 # 0215 111 10.7/10.7/10.6 + blue

Naked Pair -> ED=3.0 ===> x12

Code: Select all: .....1..2..1.3.4..56.....1...7..4..1.8..9..2.9..8..6...9.....76..4.2.5..8..9..... x12 # 0391 80 5.0/4.5/2.6 + 1to9only

X-Wing -> ED=3.2 ===> x6

Code: Select all: 1..2..3.4.2..1..5...6..7..18..1..9...6..9..8...9..8..36..5..4...5..4..3.7.4..3..5 x6 # 0375 9 9.4/9.4/9.4 - 1to9only ..6..3....7..8...93..7...6..5.4....2..1.6.4..4....7.8..2...5..39...7..5....9..1.. x6 # 0394 16 10.2/10.2/10.2 - JPF

Hidden Pair -> ED=3.4 ===> x12

Code: Select all: 1...2...3.4.....5...5...6.....1.2...7.......8...4.9.....6...9...9.....4.8...3...7 x12 # 0121 44 8.6/1.2/1.2 - joel64

Naked Triplet -> ED=3.6 ===> x7

Code: Select all: .....1....2..3..4...15....62.7....8.3...8...2.8....4.39....56...7..4..2....9..... x7 # 0236 26 9.6/9.6/9.6 - m_b_metcalf ..6..3....7..8...93..7...6..5.4....2..1.6.4..4....7.8..2...5..39...7..5....9..1.. x7 # 0394 16 10.2/10.2/10.2 - JPF

Swordfish -> ED=3.8 ===> x7

Code: Select all: .1...2..37..4...6...2.......2...3..1.........6..7...5.......5...3...1..89..6...7. x7 # 0077 43 6.9/4.0/3.4 - gsf .1...2..37..4...6...4.......2...8..1.........6..7...5.......3...3...1..29..6...7. x7 # 0077 45 7.0/4.0/3.4 - gsf

Hidden Triplet -> ED=4.0 ===> x5

Code: Select all: .13.....28.2......59.8.......1.73......4.1......98.4.......7.23......5.76.....94. x5 # 0028 12 9.3/9.3/9.1 - m_b_metcalf .1...2..37..4...6...4.......2...8..1.........6..7...5.......3...3...1..29..6...7. x5 # 0077 45 7.0/4.0/3.4 - gsf

XY-Wing -> ED=4.2 ===> x7

Code: Select all: 1..2...34......5.2.....561...7..64...8..4....2..8....9..6..7....7..8....4..9....3 x7 # 0118 155 6.8/4.2/3.4 1 JPF ...........1.2.3...3.1.4.5...3...2...6.7.3.1...8.9.7...1.5.6.7...4.8.9........... x7 # 0348 66 5.7/4.0/2.6 - Robbie

XYZ-Wing -> ED=4.4 ===> x5

Code: Select all: 7....2..5..457..1..6.........6..9..4.3.....6.2..8..9.........3..7..418..8..2....1 x5 # 0127 69 7.4/7.4/4.4 0 gsf 1.....7...2...3.6...4.....5.....9.2.....4.....6.8.2...5.......1.8.6...3...7...4.. x5 # 0171 3 10.8/10.8/3.4 - Patrice

Unique Rectangle type 1 -> ED=4.5 ===> x3

Code: Select all: 8.......9.3..1..7...56.78....49.87.............31.46....23.15...5..6..2.4.......8 x3 # 0060 72 5.8/1.2/1.2 - gsf .....1..2..1.3.4..56.....1...7..4..1.8..9..2.9..8..6...9.....76..4.2.5..8..9..... x3 # 0391 80 5.0/4.5/2.6 + 1to9only

Unique Rectangle type 2 -> ED=4.5 ===> x2

Code: Select all: ..1..23...3.....4.5..1....6..63....2.........2....98..6....8..5.4.....6...27..9.. x2 # 0025 113 5.8/1.2/1.2 + gsf 1....2.3..2.1....4....3.1...1.2....3..5.6.7..6....4.1...4.8....2....3.8..9.5....7 x2 # 0307 80 5.9/1.2/1.2 - Patrice

Unique Rectangle type 4 -> ED=4.5 ===> x3

Code: Select all: 1...2...3.4.....1...3.4.5.....6.1...3.7...1.6...2.8.....9.5.7...3.....6.2...8...9 x3 # 0018 4 9.0/1.2/1.2 - JPF 1....23...2..4..1...56....4..6.5.......7.8.......9.8..5....91...9..2..8...73....5 x3 # 0301 69 5.7/3.8/3.8 - papy999

Unique Rectangle type 3 -> ED=4.5 - ED=4.7 ===> x3

Code: Select all: .9.....8.7.6...5.4.3.2.4.1...3.9.8.....3.2.....7.1.6...6.5.1.7.1.9...2.8.7.....6. x3 # 0093 77 7.7/7.7/2.6 - champagne ..1..3....3..7..9.2..8....74....9.7...5.4.2...2.3....61....6..5.5..3..1....4..8.. x3 # 0335 60 4.7/4.7/3.4 - 1to9only

Unique Loop type 1 -> ED=4.6 ===> x2

Code: Select all: ..1.23..4.5.6....78...........5...1..2..8..9..3...7...........64....6.8.6..91.2.. x2 # 0092 103 4.6/4.6/2.6 - m_b_metcalf 1.2..3....3.2.....4....56...7.....8.........52.6...3....5..72.....8....9....9..14 x2 # 0193 165 4.6/3.6/3.4 + champagne

Unique Loop type 2 -> ED=4.6 ===> x1

Code: Select all: .1..2.3....2..3.4..5......6..78...5....1....4.8..94...3....7.9....4..1.5..6...... x1 # 0001 36 4.6/1.2/1.2 - JPF 1....2....3..1..4...56..7....1..7..3.6.....5.8.....4..2....51......9..8...73....6 x1 # 0392 40 4.6/3.8/3.6 0 1to9only

Unique Loop type 4 -> ED=4.6 ===> x1

Code: Select all: ....123.....4.....3.5..67..8.6....5.4...7...9.3....4.2..43..2.1.....4.....792.... x1 # 0003 52 5.8/1.2/1.2 - JPF ...1...2...3..4....9..2.7..8......75..2...38..5....2.9..4.76.1.6..41.8.....9.3... x1 # 0388 22 8.3/8.3/8.3 - 999_Springs

Unique Loop type 3 -> ED=4.6 - ED=4.8 ===> x2

Code: Select all: ...123......4.5.....4...6..37.....824.......552.....46..7...9.....5.2......876... x2 # 0005 41 4.8/1.2/1.2 - TTHsieh ..12....3....1.2..2....3.4.1..3....2.5..6.4....7....8..7..5.8....8..4.9.6..9....4 x2 # 0356 72 4.8/2.0/2.0 + 1to9only

Unique Loop 8 type 1 -> ED=4.7 ===> x1

Code: Select all: ...123....4..5..6..........7.......881..4..275.......3..........9..6..4....387... x1 # 0002 28 4.7/1.2/1.2 - JPF .1.2.....3...4......5..67..2..1..3...4.....5...8..4..6..76..1......5..6......3..5 x1 # 0390 86 4.7/3.4/3.4 + 1to9only

Unique Loop 8 type 2 -> ED=4.7 ===> x1

Code: Select all: ..12...3...45.6..735.8.....542....6...........7....924.....8.564..6.18...8...52.. x1 # 0006 44 4.7/1.2/1.2 - TTHsieh 1....2....3..4..5...21..6....3..6..7.5.....2.4.....8..2....53......8..1...67....8 x1 # 0392 35 4.7/3.8/3.0 0 1to9only

Unique Loop 8 type 4 -> ED=4.7 ===> x1

Code: Select all: 1..2..3......1..4...5..3..67.....2...8..6..5...4.....33..9..8...2..5......7..4..9 x1 # 0020 134 4.7/3.4/3.4 - Mauricio ..12......2..1....3....45..6..7..8...4.....7...2..1..6..93..7......5...4.....2.5. x1 # 0393 68 4.7/4.6/3.4 2 1to9only

Unique Loop 8 type 3 -> ED=4.7 - ED=4.9 ===> x2

Code: Select all: 1..2....3....1.2....23...4.2.5.3...1.6.7..5.......6....7..2.6....8....7.3..6....4 x2 # 0312 98 4.9/1.2/1.2 + papy999 .1.2..3..4.......9..5..3.2.6...7.1.....8....2..1....4.2..7....8..6..9.7..5..3.6.. x2 # 0346 84 4.9/1.2/1.2 + champagne

Naked Quad -> ED=5.0 ===> x2

Code: Select all: ...........12.34...2.4.5.6..42...31.....7.....68...95..5.6.1.9...69.82........... x2 # 0036 19 9.0/9.0/2.6 - Mauricio ..12.34......1....5..4.6..31.5...2.7.2.....4.4.3...5.89..5.8..6....6......89.17.. x2 # 0385 82 5.7/5.0/3.2 2 1to9only

Unique Loop 10 type 1 -> ED=5.0 ===> x1

Code: Select all: .9.....7...7...6.....5.3.....3.6.2...7.....1...5.2.4.....9.1.....8...7...1.....8. x1 # 0014 23 5.0/1.2/1.2 - m_b_metcalf ..1..2....3..4...55..3...6..7.8....2..9.2.4..1....9.7..1...5..66...3..1....2..8.. x1 # 0394 63 5.0/3.6/3.2 - 1to9only

Unique Loop 10 type 2 -> ED=5.0 ===> x1

Code: Select all: ..123......4........5...672...6.2..45...8...17..4.3...826...3........8......614.. x1 # 0004 50 5.0/1.2/1.2 - JPF 1....23...4..5..6...54....7..3.78....9.3...7.7..9..6..8....6..2.5..4..9...4...1.. x1 # 0384 107 5.0/3.6/3.4 + 1to9only

Unique Loop 10 type 4 -> ED=5.0 ===> x1

Code: Select all: 9.8...7...6...8...4...3...2...1.2.4...2...1...4.7.6...8...5...3...2...6...9...5.1 x1 # 0099 125 5.0/2.0/2.0 - champagne 1..2....3.....547.....3..6......7.8.....2.3...5.1....29.1......2..4......73.....6 x1 # 0112 79 5.0/1.2/1.2 - gsf

Unique Loop 12 type 1 -> ED=5.0 ===> x1

Code: Select all: .....1..2..1.3..4..3.2..5....6..78...5..6...73..9...6...57....6.9...5.8.8...2.9.. x1 # 0188 122 5.0/3.4/3.4 + champagne 1.......2.2.....3...3..24..4....12....56......7..3.....5..7.3....64...5.8....6..1 x1 # 0362 46 5.0/3.2/3.2 - dinev

Unique Loop 12 type 2 -> ED=5.0 ===> x1

Code: Select all: ..58......2...16..9......5.7..5...4.....8.....1...4..7.9......1..84..........72.. x1 # 0057 54 5.0/1.2/1.2 - gsf .1......23....4.......5.6.....7...5...5.6.8...7...2.....8.2.....4.1....75......3. x1 # 0389 51 5.0/1.2/1.2 - m_b_metcalf

Unique Loop 14 type 2 -> ED=5.0 ===> x1

Code: Select all: ..12......3...45..6......1.7..6...2.........8.8...7..9.5......4..21.........357.. x1 # 0059 121 5.0/1.2/1.2 - JPF 1....2.3..2.4....1....1.5...4.5....3..1.6.7..3....7.6...5.2....8....6.7..3.7....4 x1 # 0307 106 5.0/3.8/3.4 + champagne

Unique Loop 12 type 3 -> ED=5.0 - ED=5.1 ===> x1

Code: Select all: .1...2...3..1....4....5..6.1..2.3.4...2...3...3.5.7..6.5..7....4....6..8...3...1. x1 # 0194 116 5.1/1.2/1.2 - champagne 1..2....3.2..4..5...6...7..5....4.8..4..5.9.....3.......5.6.4...6.8...2.8.......1 x1 # 0258 102 5.0/1.2/1.2 + champagne

Unique Loop 10 type 3 -> ED=5.0 - ED=5.3 ===> x2

Code: Select all: 1..2....3..4.1.5...2...4.1.6..7....8.8..5.2....7..6....9..2.8....8....3.4..9....5 x2 # 0320 93 5.1/1.2/1.2 - papy999 94...2..16....1.85...87..6...1....9...4...6..83....2......16....254.....41....... x2 # 0333 87 5.3/1.2/1.2 0 999_Springs

Jellyfish -> ED=5.2 ===> x3

Code: Select all: ..5...8...1.4.5.6.7.......1.5.9.6.2...........6.1.2.4.4.......9.2.6.9.1...1...3.. x3 # 0058 17 5.2/5.2/3.4 - tarek 1...2...3.4....5....6....4....53....2..6.7..1....81....5....4....9....6.3...1...2 x3 # 0202 5 7.3/5.2/3.4 0 m_b_metcalf

Hidden Quad -> ED=5.4 ===> x2

Code: Select all: ...........12.34...2.1.4.5..13...54...........67...12..5.6.2.8...67.83........... x2 # 0026 106 5.4/5.4/3.0 + TTHsieh .7.......6.....5.....1.234...24.59.............63.17...137.4.....5....8.........9 x2 # 0043 20 8.5/8.5/3.4 - gsf

BUG type 1 -> ED=5.6 ===> x1

Code: Select all: .1..2.3....4..3.5..6......7..51...6....8....2.8..92...3....6.9....7..2.5..7...... x1 # 0001 22 7.7/1.2/1.2 - JPF ..1..2....2..3...13..4...5..1.5....6..7.6.4..4....7.8..8...6..32...7..9....9..5.. x1 # 0394 76 5.6/4.7/3.4 - 1to9only

BUG type 2 -> ED=5.7 ===> x2

Code: Select all: 1....2.3..3.4....5....3.2...5.1....6..7.8.4..8....3.7...8.1....7....5.6..4.6....1 x2 # 0307 65 8.0/4.7/3.4 0 m_b_metcalf

BUG type 4 -> ED=5.7 ===> x1

Code: Select all: .1..2.3....4..5.6..7......8..69...3....1....2.9..42...5....6.4....8..1.6..8...... x1 # 0001 20 7.8/1.2/1.2 - JPF .....1..2..3.2.4..25.....1...6..2..4.7..3..5.5..6..3...8.....49..5.4.7..9..8..... x1 # 0391 70 10.7/10.7/7.6 2 1to9only

BUG type 3 -> ED=5.8 - ED=6.0 ===> x2

Code: Select all: ...2.8.7.8.....5...26..51..9.46.3..5.........3..5.16.4..84..36...2.....1.9.1.2... x2 # 0072 50 6.0/1.2/1.2 + gsf .....1..2...3...1...4.5.6....6....747...8...628....1....7.6.5...3...2...1..9..... x2 # 0272 76 6.0/1.2/1.2 - champagne

Aligned Pair Exclusion -> ED=6.2 ===> x4

Code: Select all: .....1.23...3..45.....5.6.7.5...42....8..2...2..71.....426..3.889.......6.7...5.. x4 # 0165 55 7.9/7.9/3.0 - dobrichev

Bidirectional X-Cycle -> ED=6.5 - ED=6.6 ===> x4

Code: Select all: .....1..2...3...4...5.6.7....8....799...8...665....8....6.7.9...1...2...3..4..... x4 # 0272 5 10.3/10.3/10.3 - m_b_metcalf .....1..2...3...4...5.6.7....8....565...8...779....8....7.9.6...3...4...1..2..... x4 # 0272 39 10.9/1.2/1.2 - dobrichev

Turbot Fish -> ED=6.6 ===> x10

Code: Select all: .....1....2..3..4...56....78.1....2.2...9...8.3....7.64....29...1..8..3....5..... x10 # 0236 115 7.4/7.4/7.4 - champagne

Bidirectional Y-Cycle -> ED=6.6 - ED=7.0 ===> x10

Code: Select all: 1..2...3..45.....1.6....7..5..7..2......8.........1..6..23..5..7......9..5...4..8 x10 # 0318 56 10.1/10.1/2.6 - champagne

Forcing X-Chain -> ED=6.7 - ED=6.8 ===> x7

Code: Select all: 1....23......4..5....6....7....3..2...57.48...4..8....2....1....3..5......19....6 x7 # 0066 77 7.4/7.4/6.7 - JPF

Bidirectional Cycle -> ED=7.0 - ED=7.3 ===> x8

Code: Select all: 1.....9...6..8......5..1..2.....96...4..7..8...25....77..6..5......3..4...3..2..1 x8 # 0143 62 8.6/8.6/8.4 - ronk 1....23...2..4...5..67...4...38.1...............4.69...9...41..2...8..5...73....8 x8 # 0372 19 7.4/7.4/7.4 - Robbie

Forcing Chain -> ED=7.1 - ED=7.4 ===> x53

Code: Select all: 1.......7.3...5.4...6...2.....7.1.3.....6.....9.5.2.....7...1...5.3...8.2.......6 x53 # 0119 20 9.0/9.0/7.2 - ronk .....1..2.3.....4...5.3.6......1..5...24..7..7....8..4..8.5.....6.8...9.4....2..3 x53 # 0130 55 7.5/7.2/3.8 2 joel64

Aligned Triplet Exclusion -> ED=7.5 ===> x8

Code: Select all: ...........1.2.3...4.5.3.6...78..4...9...1.5...6.5.2...1.6.9.3...8.7.6..........4 x8 # 0354 13 9.1/9.1/9.1 - m_b_metcalf

Nishio Forcing Chains -> ED=7.8 - ED=8.1 ===> x31

Code: Select all: ...........12.34...546.723..42...58...........75...36..368.572...87.46........... x31 # 0030 60 8.3/8.3/7.8 - TTHsieh

Region Forcing Chains -> ED=8.2 - ED=8.7 ===> x35

Code: Select all: .9......87....6.......5.4.......1.5...4.2.1...8.7.......1.6.......4....96......7. x35 # 0103 60 8.7/1.2/1.2 - champagne

Cell Forcing Chains -> ED=8.3 - ED=9.0 ===> x25

Code: Select all: 1.......2.3.4..5....6....7..8..2.......8.3..9....75....5....8....7....3.2...6...1 x25 # 0208 69 9.1/9.1/8.3 + champagne

Dynamic Cell Forcing Chains -> ED=8.3 - ED=9.2 ===> x21

Code: Select all: .24.....16.1......35.6.......3.5.......7.4......96.7.......2.15......4.39.....27. x21 # 0164 80 9.2/9.2/9.0 + Patrice

Dynamic Region Forcing Chains -> ED=8.3 - ED=9.4 ===> x26

Code: Select all: ...1.2......3.4.....1.5.2...6.....7...52.38..4.......99.......7..2.3.1...8.....6. x26 # 0070 61 9.4/9.4/7.8 - JPF

Dynamic Region Forcing Chains (+) -> ED=8.3 - ED=9.7 ===> x15

Code: Select all: 1.......2.3...4.5...6...7.....6.5.3.....1.....8.3.9.....7...6...4.5...8.2.......1 x15 # 0119 2 9.8/9.8/9.6 - m_b_metcalf .123.....43.......5.6...2..6..7..3......8...1.....9.4...72..6.......1.8.....4...9 x15 # 0313 6 9.6/9.6/9.6 - champagne

Dynamic Cell Forcing Chains (+ Forcing Chains) -> ED=8.3 - ED=10.4 ===> x5

Code: Select all: ..8..59...2.....1.7..3....8..65....2.........9....74..4....8..9.1.....6...52..7.. x5 # 0025 41 10.4/10.4/9.0 - gsf 1.....2...3..4..5....6....7..53.4.8.....9.....9.5.84..6....7....8..5..9...2.....1 x5 # 0297 43 10.5/10.5/9.4 - m_b_metcalf

Dynamic Region Forcing Chains (+ Forcing Chains) -> ED=8.3 - ED=10.5 ===> x13

Code: Select all: 1...2...3.4....5....6....7....14....8..2.3..9....98....7....4....5....6.9...8...2 x13 # 0202 4 10.5/10.5/10.5 - champagne

Dynamic Cell Forcing Chains (+ Multiple Forcing Chains) -> ED=8.3 - ED=10.9 ===> x2

Code: Select all: ...1.2.....3.4.2...5.3....1..6....74....6....32....6..8....5.9...2.3.7.....8.9... x2 # 0087 18 10.8/1.2/1.2 - JPF ..12.....3....4....5..6..4.6..7...8...5.8.4...8...9..7.9..7..6....5....3.....12.. x2 # 0311 42 10.9/10.9/9.4 2 papy999

Dynamic Region Forcing Chains (+ Multiple Forcing Chains) -> ED=8.3 - ED=11.2 ===> x2

Code: Select all: .7.......3...2..5...41..6....5.4..2..3.6..4.......8..9..1.3..4..5.4..7.......9..8 x2 # 0252 22 11.0/11.0/10.5 - coloin 1.......2.3.....4...2..56..7....25....43......8..9.....2..4.1....18...9.6....1..7 x2 # 0362 53 11.2/11.2/9.4 0 Robbie

Dynamic Cell Forcing Chains (+ Dynamic Forcing Chains) -> ED=8.3 - ED=11.8 ===> x1

Code: Select all: ..1...2...9...8.5.6.......7.....3.4.....2.....8.9.5...7.......6.5.4...3...2...1.. x1 # 0169 3 11.8/11.8/3.4 1 gsf ..1.5..6.6.......2.4....3...3.7.......6.1...8.....9...5...2...1.7...49....8....2. x1 # 0349 4 11.8/11.8/10.7 0 1to9only

Dynamic Region Forcing Chains (+ Dynamic Forcing Chains) -> ED=8.3 - ED=11.8 ===> x2

Code: Select all: ..1...2...9...8.5.6.......7.....3.4.....2.....8.9.5...7.......6.5.4...3...2...1.. x2 # 0169 3 11.8/11.8/3.4 1 gsf

Dynamic Cell Forcing Chains (+) -> ED=8.4 - ED=9.6 ===> x9

Code: Select all: 1.......2.3.4..5....6....7..8.56.......3.4..9....21....5....3....7....8.6...9...1 x9 # 0205 8 9.8/9.8/9.3 - m_b_metcalf 1..2..3...4..1..2...2..5...6.4....7.....7.....7....8.2...9..5...6..4..8...1..3..9 x9 # 0260 52 9.6/9.6/9.6 - champagne

Dynamic Contradiction Forcing Chains (+ Dynamic Forcing Chains) -> ED=8.8 - ED=11.7 ===> x6

Code: Select all: 8.7..2....6.4.....1....97...3.....5.........12.1...9....8..71.....5....4....6..73 x6 # 0193 98 11.7/1.2/1.2 0 champagne

Dynamic Double Forcing Chains -> ED=9.0 - ED=9.1 ===> x10

Code: Select all: 1...2...3.4....5....6....7....31....8..7.2..9....95....7....6....5....4.3...8...2 x10 # 0202 19 9.2/9.2/3.8 - m_b_metcalf 1...2...3.4....5....6....7....81....9..6.2..8....34....7....6....5....4.3...9...2 x10 # 0202 21 9.1/9.1/3.8 - m_b_metcalf

Dynamic Contradiction Forcing Chains -> ED=9.0 - ED=9.6 ===> x44

Code: Select all: 1..........97..3...8..4..5..2.6.9.....3.7.6.....3...2..5..2..8...6..72..........1 x44 # 0109 105 9.6/9.6/9.3 - gsf

Dynamic Contradiction Forcing Chains (+) -> ED=9.0 - ED=10.0 ===> x29

Code: Select all: ...........1.4.5...7.1.5.2...45..7...3...6.8...2.1.6...2.3.8.7...6.5.9........... x29 # 0336 8 10.0/10.0/9.1 - 1to9only

Dynamic Contradiction Forcing Chains (+ Multiple Forcing Chains) -> ED=9.0 - ED=11.4 ===> x17

Code: Select all: .7......46......9...8..31......153.....3.2.....586......15..2...9......64......7. x17 # 0073 30 11.4/11.4/11.2 - gsf

Dynamic Contradiction Forcing Chains (+ Forcing Chains) -> ED=9.1 - ED=11.3 ===> x25

Code: Select all: .9.8.....5...9......8..13..8..1..2...6.....5...1..2..7..32..7......4..6......7..4 x25 # 0390 7 11.3/11.3/3.4 - JPF

Dynamic Double Forcing Chains (+) -> ED=9.3 - ED=9.4 ===> x13

Code: Select all: 1.......2.3...4.5...6...7.....5.8.4.....1.....8.6.9.....2...1...5.4...8.7.......6 x13 # 0119 41 9.5/1.2/1.2 - m_b_metcalf

Dynamic Double Forcing Chains (+ Forcing Chains) -> ED=10.4 - ED=10.6 ===> x4

Code: Select all: ........1..2..3..4.5.6...7...85.9..3.3..6..9.9..3.71...9...6.3.4..7..2..8........ x4 # 0377 46 10.6/10.6/2.6 - JPF

Dynamic Double Forcing Chains (+ Multiple Forcing Chains) -> ED=10.9 - ED=11.1 ===> x1

Code: Select all: .....1.....23..1...1..2..4..4.5....6..7.3.2..8....2.9..8..6..7...6..35..9..7..... x1 # 0268 89 11.2/1.2/1.2 2 dobrichev .1.6....2....5..9...7...3...6...8.....9....7.4..2....6....3.5..8....4..1.2.1..... x1 # 0344 42 11.3/11.3/3.4 - 1to9only

by **1to9only** » Thu Jun 10, 2021 8:42 am

This is the Patterns Game submission with the 2nd longest chain (as measured by the number of (total!) nodes!):

Code: Select all: 4.69......2...8...5..6..7..9.4...5..........8.1...7.3...74..6.......9..1....3..2. # 0414 12 11.6/11.6/9.3 0 JPF

After a number of Dynamic Forcing Chains and Nested Forcing Chains, this is the pencilmarks:

Code: Select all: +-------------------+-------------------+-------------------+ | 4 378 6 | 9 1257 1235 | 1238 158 235 | | 137 2 139 | 1357 1457 8 | 1349 14569 34569 | | 5 389 1389 | 6 124 1234 | 7 1489 2349 | +-------------------+-------------------+-------------------+ | 9 3678 4 | 1238 1268 1236 | 5 167 267 | | 2367 3567 235 | 1235 4569 456 | 129 14679 8 | | 268 1 258 | 258 4569 7 | 249 3 2469 | +-------------------+-------------------+-------------------+ | 1238 3589 7 | 4 1258 125 | 6 589 359 | | 2368 3456 2358 | 2578 25678 9 | 348 457 1 | | 168 4569 1589 | 1578 3 156 | 489 2 4579 | +-------------------+-------------------+-------------------+

For a monster ED=11.6, Contradiction Forcing Chain (w/816 nodes):

Code: Select all: 11.6, Nested Forcing Chains (+ Multiple Forcing Chains), ED=10.0 + 1.6 (769-1024 nodes)

The SE grid (picture) does not look pretty!

The New Sudoku Players' Forum

S.E. Records in the Patterns Game

Re: S.E. Records in the Patterns Game

Re: S.E. Records in the Patterns Game

Re: S.E. Records in the Patterns Game

Re: S.E. Records in the Patterns Game

Re: S.E. Records in the Patterns Game

S.E. 1.2.1.3 Technique Records in the Patterns Game

Contradiction Forcing Chain (w/816 nodes)