S.E. Records in the Patterns Game

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Re: S.E. Records in the Patterns Game

Postby 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;
mith
 
Posts: 286
Joined: 14 July 2020

Re: S.E. Records in the Patterns Game

Postby 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   |
+----------------+----------------+----------------+
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Re: S.E. Records in the Patterns Game

Postby 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)
Last edited by mith on Wed Aug 19, 2020 4:48 pm, edited 1 time in total.
mith
 
Posts: 286
Joined: 14 July 2020

Re: S.E. Records in the Patterns Game

Postby 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
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m_b_metcalf
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Re: S.E. Records in the Patterns Game

Postby 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.
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Posts: 286
Joined: 14 July 2020

S.E. 1.2.1.3 Technique Records in the Patterns Game

Postby 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
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