Pair Reduction Analysis

See Appendix: Full HDP Chains for full list of HDP chains.

Pair Reduction

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Pair Reduction

Time used: 0:00:34.062464

The following important HDP chains were detected:

* DIS # I1: 1,4 # A5: 6,8 => CTR => A5: 3,4
* PRF # I1: 1,4 + A5: 3,4 # C9: 6,8 => SOL
* STA # I1: 1,4 + A5: 3,4 + C9: 6,8
* CNT   2 HDP CHAINS /  32 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Positions

98.7..6..5.4.3......7.9.25.2.......9...9.17......4..3..9..7......54....7...5.3...	initial
98.7..6..5.4.3.97...7.9.25.2..3....9...9.17....9.4..3..9..7......54.9..7...5.3.9.	autosolve
983752641524136978617894253241367589356981724879245136492678315135429867768513492	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
H1: 1,4
I2: 1,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C1,B2: 2.. / C1 = 2  =>  5 pairs (_) / B2 = 2  =>  7 pairs (_)
I1,I3: 3.. / I1 = 3  =>  3 pairs (_) / I3 = 3  => 10 pairs (_)
G7,G8: 3.. / G7 = 3  =>  3 pairs (_) / G8 = 3  =>  2 pairs (_)
C1,I1: 3.. / C1 = 3  => 10 pairs (_) / I1 = 3  =>  3 pairs (_)
F1,F3: 4.. / F1 = 4  =>  6 pairs (_) / F3 = 4  =>  3 pairs (_)
F3,I3: 4.. / F3 = 4  =>  3 pairs (_) / I3 = 4  =>  6 pairs (_)
E1,F1: 5.. / E1 = 5  =>  6 pairs (_) / F1 = 5  =>  3 pairs (_)
G7,I7: 5.. / G7 = 5  =>  3 pairs (_) / I7 = 5  =>  2 pairs (_)
F4,F6: 7.. / F4 = 7  =>  2 pairs (_) / F6 = 7  =>  2 pairs (_)
A9,B9: 7.. / A9 = 7  =>  2 pairs (_) / B9 = 7  =>  2 pairs (_)
B4,F4: 7.. / B4 = 7  =>  2 pairs (_) / F4 = 7  =>  2 pairs (_)
A6,A9: 7.. / A6 = 7  =>  2 pairs (_) / A9 = 7  =>  2 pairs (_)
I2,I3: 8.. / I2 = 8  =>  2 pairs (_) / I3 = 8  =>  4 pairs (_)
* DURATION: 0:00:10.747164  START: 23:25:32.784489  END: 23:25:43.531653 2020-11-05
* CP COUNT: (13)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:33.902955  START: 23:25:51.196100  END: 23:26:25.099055 2020-11-05
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-02236809-2019_01_07-base-pr-002.dot
* REASONING
* DIS # I1: 1,4 # A5: 6,8 => CTR => A5: 3,4
* PRF # I1: 1,4 + A5: 3,4 # C9: 6,8 => SOL
* STA # I1: 1,4 + A5: 3,4 + C9: 6,8
* CNT   2 HDP CHAINS /  32 HYP OPENED

Header Info

2236809;2019_01_07;PAQ;25;11.40;1.20;1.20

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # I1: 1,4 => UNS
* INC # I3: 1,4 => UNS
* INC # H4: 1,4 => UNS
* INC # H7: 1,4 => UNS
* INC # I3: 1,8 => UNS
* INC # I3: 3,4 => UNS
* INC # D2: 1,8 => UNS
* INC # D2: 2,6 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # I1: 1,4 => UNS
* INC # I3: 1,4 => UNS
* INC # H4: 1,4 => UNS
* INC # H7: 1,4 => UNS
* INC # I3: 1,8 => UNS
* INC # I3: 3,4 => UNS
* INC # D2: 1,8 => UNS
* INC # D2: 2,6 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # I1: 1,4 => UNS
* INC # I3: 1,4 => UNS
* INC # H4: 1,4 => UNS
* INC # H7: 1,4 => UNS
* INC # I3: 1,8 => UNS
* INC # I3: 3,4 => UNS
* INC # D2: 1,8 => UNS
* INC # D2: 2,6 => UNS
* INC # I1: 1,4 # A6: 1,6 => UNS
* INC # I1: 1,4 # A7: 1,6 => UNS
* INC # I1: 1,4 # A8: 1,6 => UNS
* INC # I1: 1,4 # A9: 1,6 => UNS
* INC # I1: 1,4 # B4: 1,6 => UNS
* INC # I1: 1,4 # B6: 1,6 => UNS
* INC # I1: 1,4 # B8: 1,6 => UNS
* INC # I1: 1,4 # B9: 1,6 => UNS
* INC # I1: 1,4 # E5: 2,5 => UNS
* INC # I1: 1,4 # E5: 6,8 => UNS
* INC # I1: 1,4 # F6: 2,5 => UNS
* INC # I1: 1,4 # F6: 7,8 => UNS
* INC # I1: 1,4 # H4: 1,4 => UNS
* INC # I1: 1,4 # H7: 1,4 => UNS
* INC # I1: 1,4 # I7: 1,4 => UNS
* INC # I1: 1,4 # I9: 1,4 => UNS
* INC # I1: 1,4 # C4: 6,8 => UNS
* DIS # I1: 1,4 # A5: 6,8 => CTR => A5: 3,4
* INC # I1: 1,4 + A5: 3,4 # A6: 6,8 => UNS
* INC # I1: 1,4 + A5: 3,4 # E5: 6,8 => UNS
* INC # I1: 1,4 + A5: 3,4 # H5: 6,8 => UNS
* INC # I1: 1,4 + A5: 3,4 # C7: 6,8 => UNS
* PRF # I1: 1,4 + A5: 3,4 # C9: 6,8 => SOL
* STA # I1: 1,4 + A5: 3,4 + C9: 6,8
* CNT  31 HDP CHAINS /  32 HYP OPENED