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: 0:00:13.171034

The following important HDP chains were detected:

* PRF # D2: 5 # B1: 4,9 => SOL
* STA # D2: 5 + B1: 4,9
* CNT   1 HDP CHAINS /  23 HYP OPENED

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

Positions

.....1..2....3..4...56..7....8..2..3.5.8..9..9...4.....76.8..1..8......75..7..8..	initial
.....1..2....3..4...56..7....8..2..3.5.8..9..9...4.....76.8..1..8......75..7..8..	autosolve
643971582297538146815624739768192453354867921921345678476289315189453267532716894	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
E3: 2,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D2,E3: 2.. / D2 = 2  =>  5 pairs (_) / E3 = 2  =>  1 pairs (_)
D1,F3: 4.. / D1 = 4  =>  2 pairs (_) / F3 = 4  =>  5 pairs (_)
G4,I5: 4.. / G4 = 4  =>  3 pairs (_) / I5 = 4  =>  3 pairs (_)
E1,F2: 7.. / E1 = 7  =>  2 pairs (_) / F2 = 7  =>  5 pairs (_)
F2,F3: 8.. / F2 = 8  =>  5 pairs (_) / F3 = 8  =>  3 pairs (_)
H6,I6: 8.. / H6 = 8  =>  2 pairs (_) / I6 = 8  =>  2 pairs (_)
A1,H1: 8.. / A1 = 8  =>  1 pairs (_) / H1 = 8  =>  3 pairs (_)
D4,E4: 9.. / D4 = 9  =>  3 pairs (_) / E4 = 9  =>  4 pairs (_)
* DURATION: 0:00:04.896220  START: 23:39:55.205098  END: 23:40:00.101318 2020-12-31
* CP COUNT: (8)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:13.014386  START: 23:40:04.804227  END: 23:40:17.818613 2020-12-31
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00797040-13_01-base-pr-002.dot
* REASONING
* PRF # D2: 5 # B1: 4,9 => SOL
* STA # D2: 5 + B1: 4,9
* CNT   1 HDP CHAINS /  23 HYP OPENED

Header Info

797040;13_01;DOB;24;11.30;11.30;9.00

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # D2: 2,9 => UNS
* INC # D2: 5 => UNS
* INC # B3: 2,9 => UNS
* INC # B3: 1,3,4 => UNS
* INC # E8: 2,9 => UNS
* INC # E9: 2,9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # D2: 2,9 => UNS
* INC # D2: 5 => UNS
* INC # B3: 2,9 => UNS
* INC # B3: 1,3,4 => UNS
* INC # E8: 2,9 => UNS
* INC # E9: 2,9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # D2: 2,9 => UNS
* INC # D2: 5 => UNS
* INC # B3: 2,9 => UNS
* INC # B3: 1,3,4 => UNS
* INC # E8: 2,9 => UNS
* INC # E9: 2,9 => UNS
* INC # D2: 2,9 # D7: 4,5 => UNS
* INC # D2: 2,9 # D8: 4,5 => UNS
* INC # D2: 2,9 # F2: 5,7 => UNS
* INC # D2: 2,9 # F2: 8 => UNS
* INC # D2: 2,9 # E4: 5,7 => UNS
* INC # D2: 2,9 # E4: 1,6,9 => UNS
* INC # D2: 2,9 # B2: 2,9 => UNS
* INC # D2: 2,9 # C2: 2,9 => UNS
* INC # D2: 2,9 # B3: 2,9 => UNS
* INC # D2: 2,9 # B3: 1,3,4 => UNS
* INC # D2: 2,9 # A3: 4,8 => UNS
* INC # D2: 2,9 # A3: 1,2,3 => UNS
* INC # D2: 2,9 => UNS
* INC # D2: 5 # F3: 4,9 => UNS
* INC # D2: 5 # F3: 8 => UNS
* PRF # D2: 5 # B1: 4,9 => SOL
* STA # D2: 5 + B1: 4,9
* CNT  22 HDP CHAINS /  23 HYP OPENED