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: 0:00:33.638433

The following important HDP chains were detected:

* DIS # H5: 6,7 # G2: 1,2 => CTR => G2: 3
* PRF # H5: 6,7 + G2: 3 # I6: 2 => SOL
* STA # H5: 6,7 + G2: 3 + I6: 2
* CNT   2 HDP CHAINS /  34 HYP OPENED

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

Positions

98.7..6..75..4..8...3..8..73....9..5..52..4.........1..3...7..9..9.6..2....1.....	initial
98.7..6..75..4..8...3..8..73....9..5..52..4.........1..3...7..9..9.6..2....19....	autosolve
982731654756942381413658297327419865195286473864573912631827549579364128248195736	solved

Classification

level: hard

Pairing Analysis

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* PAIRS (1)
H4: 6,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E7,F9: 2.. / E7 = 2  =>  3 pairs (_) / F9 = 2  =>  2 pairs (_)
B8,G8: 7.. / B8 = 7  =>  1 pairs (_) / G8 = 7  =>  3 pairs (_)
D2,D3: 9.. / D2 = 9  =>  2 pairs (_) / D3 = 9  =>  4 pairs (_)
B5,B6: 9.. / B5 = 9  =>  3 pairs (_) / B6 = 9  =>  2 pairs (_)
H5,G6: 9.. / H5 = 9  =>  2 pairs (_) / G6 = 9  =>  3 pairs (_)
D2,G2: 9.. / D2 = 9  =>  2 pairs (_) / G2 = 9  =>  4 pairs (_)
B5,H5: 9.. / B5 = 9  =>  3 pairs (_) / H5 = 9  =>  2 pairs (_)
B6,G6: 9.. / B6 = 9  =>  2 pairs (_) / G6 = 9  =>  3 pairs (_)
H3,H5: 9.. / H3 = 9  =>  3 pairs (_) / H5 = 9  =>  2 pairs (_)
* DURATION: 0:00:05.794475  START: 05:15:02.139688  END: 05:15:07.934163 2021-01-03
* CP COUNT: (9)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:33.435799  START: 05:15:12.692359  END: 05:15:46.128158 2021-01-03
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00931454-13_05-base-pr-002.dot
* REASONING
* DIS # H5: 6,7 # G2: 1,2 => CTR => G2: 3
* PRF # H5: 6,7 + G2: 3 # I6: 2 => SOL
* STA # H5: 6,7 + G2: 3 + I6: 2
* CNT   2 HDP CHAINS /  34 HYP OPENED

Header Info

931454;13_05;GP;25;11.30;1.20;1.20

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # H5: 6,7 => UNS
* INC # H5: 3,9 => UNS
* INC # B4: 6,7 => UNS
* INC # C4: 6,7 => UNS
* INC # H9: 6,7 => UNS
* INC # H9: 3,4,5 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # H5: 6,7 => UNS
* INC # H5: 3,9 => UNS
* INC # B4: 6,7 => UNS
* INC # C4: 6,7 => UNS
* INC # H9: 6,7 => UNS
* INC # H9: 3,4,5 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # H5: 6,7 => UNS
* INC # H5: 3,9 => UNS
* INC # B4: 6,7 => UNS
* INC # C4: 6,7 => UNS
* INC # H9: 6,7 => UNS
* INC # H9: 3,4,5 => UNS
* INC # H5: 6,7 # C2: 1,2 => UNS
* INC # H5: 6,7 # A3: 1,2 => UNS
* INC # H5: 6,7 # B3: 1,2 => UNS
* INC # H5: 6,7 # E1: 1,2 => UNS
* INC # H5: 6,7 # F1: 1,2 => UNS
* INC # H5: 6,7 # I1: 1,2 => UNS
* INC # H5: 6,7 # C4: 1,2 => UNS
* INC # H5: 6,7 # C7: 1,2 => UNS
* INC # H5: 6,7 # D6: 5,6 => UNS
* INC # H5: 6,7 # D6: 3,4,8 => UNS
* INC # H5: 6,7 # I1: 1,2 => UNS
* DIS # H5: 6,7 # G2: 1,2 => CTR => G2: 3
* INC # H5: 6,7 + G2: 3 # G3: 1,2 => UNS
* INC # H5: 6,7 + G2: 3 # C2: 1,2 => UNS
* INC # H5: 6,7 + G2: 3 # F2: 1,2 => UNS
* INC # H5: 6,7 + G2: 3 # I1: 1,2 => UNS
* INC # H5: 6,7 + G2: 3 # G3: 1,2 => UNS
* INC # H5: 6,7 + G2: 3 # C2: 1,2 => UNS
* INC # H5: 6,7 + G2: 3 # F2: 1,2 => UNS
* INC # H5: 6,7 + G2: 3 # I6: 2,8 => UNS
* INC # H5: 6,7 + G2: 3 # I6: 3 => UNS
* INC # H5: 6,7 + G2: 3 # C4: 2,8 => UNS
* INC # H5: 6,7 + G2: 3 # C4: 1,4,6,7 => UNS
* INC # H5: 6,7 + G2: 3 # B4: 6,7 => UNS
* INC # H5: 6,7 + G2: 3 # C4: 6,7 => UNS
* INC # H5: 6,7 + G2: 3 # I6: 3,8 => UNS
* PRF # H5: 6,7 + G2: 3 # I6: 2 => SOL
* STA # H5: 6,7 + G2: 3 + I6: 2
* CNT  33 HDP CHAINS /  34 HYP OPENED