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: 0:00:27.041342

The following important HDP chains were detected:

* PRF # H9: 3,5 # H5: 3,5 => SOL
* STA # H9: 3,5 + H5: 3,5
* CNT   1 HDP CHAINS /  39 HYP OPENED

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

Positions

98.7..6..7..5..8....4.8..7.3...9..8..4.2..1....9.....6.9..7..4...3..5........12..	initial
98.7..6..7..5..8....4.8..7.3...9..8..4.2..1....9.....6.9..7..4...3..5........12..	autosolve
985723614731564892264189573312496785647258139859317426598672341123845967476931258	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
G7: 3,5
G8: 7,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I4,H6: 2.. / I4 = 2  =>  3 pairs (_) / H6 = 2  =>  3 pairs (_)
F7,E8: 2.. / F7 = 2  =>  4 pairs (_) / E8 = 2  =>  2 pairs (_)
B2,B3: 3.. / B2 = 3  =>  2 pairs (_) / B3 = 3  =>  4 pairs (_)
I1,I2: 4.. / I1 = 4  =>  3 pairs (_) / I2 = 4  =>  2 pairs (_)
G4,G6: 4.. / G4 = 4  =>  4 pairs (_) / G6 = 4  =>  3 pairs (_)
A8,A9: 4.. / A8 = 4  =>  3 pairs (_) / A9 = 4  =>  3 pairs (_)
E5,E6: 5.. / E5 = 5  =>  4 pairs (_) / E6 = 5  =>  5 pairs (_)
H8,H9: 6.. / H8 = 6  =>  3 pairs (_) / H9 = 6  =>  5 pairs (_)
F2,F3: 9.. / F2 = 9  =>  2 pairs (_) / F3 = 9  =>  6 pairs (_)
H5,I5: 9.. / H5 = 9  =>  3 pairs (_) / I5 = 9  =>  3 pairs (_)
D8,D9: 9.. / D8 = 9  =>  4 pairs (_) / D9 = 9  =>  2 pairs (_)
G3,G8: 9.. / G3 = 9  =>  2 pairs (_) / G8 = 9  =>  6 pairs (_)
* DURATION: 0:00:07.530580  START: 16:30:06.375526  END: 16:30:13.906106 2021-01-01
* CP COUNT: (12)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:26.834704  START: 16:30:20.042293  END: 16:30:46.876997 2021-01-01
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00845611-13_02-base-pr-002.dot
* REASONING
* PRF # H9: 3,5 # H5: 3,5 => SOL
* STA # H9: 3,5 + H5: 3,5
* CNT   1 HDP CHAINS /  39 HYP OPENED

Header Info

845611;13_02;GP;25;11.30;11.30;2.60

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # I7: 3,5 => UNS
* INC # H9: 3,5 => UNS
* INC # I9: 3,5 => UNS
* INC # G3: 3,5 => UNS
* INC # G6: 3,5 => UNS
* INC # I8: 7,9 => UNS
* INC # I9: 7,9 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # I7: 3,5 => UNS
* INC # H9: 3,5 => UNS
* INC # I9: 3,5 => UNS
* INC # G3: 3,5 => UNS
* INC # G6: 3,5 => UNS
* INC # I8: 7,9 => UNS
* INC # I9: 7,9 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # I7: 3,5 => UNS
* INC # H9: 3,5 => UNS
* INC # I9: 3,5 => UNS
* INC # G3: 3,5 => UNS
* INC # G6: 3,5 => UNS
* INC # I8: 7,9 => UNS
* INC # I9: 7,9 => UNS
* INC # I7: 3,5 # F7: 6,8 => UNS
* INC # I7: 3,5 # D8: 6,8 => UNS
* INC # I7: 3,5 # D9: 6,8 => UNS
* INC # I7: 3,5 # A7: 6,8 => UNS
* INC # I7: 3,5 # C7: 6,8 => UNS
* INC # I7: 3,5 # G3: 3,5 => UNS
* INC # I7: 3,5 # G6: 3,5 => UNS
* INC # I7: 3,5 # I1: 3,5 => UNS
* INC # I7: 3,5 # I3: 3,5 => UNS
* INC # I7: 3,5 # I5: 3,5 => UNS
* INC # I7: 3,5 # I8: 7,9 => UNS
* INC # I7: 3,5 # I9: 7,9 => UNS
* INC # I7: 3,5 # H8: 6,9 => UNS
* INC # I7: 3,5 # H8: 1 => UNS
* INC # I7: 3,5 # D9: 6,9 => UNS
* INC # I7: 3,5 # D9: 3,4,8 => UNS
* INC # I7: 3,5 => UNS
* INC # H9: 3,5 # A8: 2,4 => UNS
* INC # H9: 3,5 # A8: 1,8 => UNS
* INC # H9: 3,5 # E1: 2,4 => UNS
* INC # H9: 3,5 # E2: 2,4 => UNS
* INC # H9: 3,5 # G3: 3,5 => UNS
* INC # H9: 3,5 # G6: 3,5 => UNS
* INC # H9: 3,5 # I8: 1,8 => UNS
* INC # H9: 3,5 # I8: 7,9 => UNS
* INC # H9: 3,5 # A7: 1,8 => UNS
* INC # H9: 3,5 # C7: 1,8 => UNS
* INC # H9: 3,5 # I8: 7,9 => UNS
* INC # H9: 3,5 # I9: 7,9 => UNS
* INC # H9: 3,5 # H1: 3,5 => UNS
* PRF # H9: 3,5 # H5: 3,5 => SOL
* STA # H9: 3,5 + H5: 3,5
* CNT  38 HDP CHAINS /  39 HYP OPENED