Pair Reduction Analysis

Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.150994

Deep Constraint Pair Analysis

Time used: 0:00:00.000015

List of important HDP chains detected for F7,D9: 4..:

* DIS # F7: 4 # D4: 7,9 => CTR => D4: 2
* DIS # F7: 4 + D4: 2 # F4: 6,8 => CTR => F4: 7,9
* PRF # F7: 4 + D4: 2 + F4: 7,9 # I6: 6,8 => SOL
* STA # F7: 4 + D4: 2 + F4: 7,9 + I6: 6,8
* CNT   3 HDP CHAINS /  28 HYP OPENED

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

Positions

9876.....65....9.........6.5...4...3.2...1.....95..7....58..6......2..4......3..1	initial
9876.....65....9.........6.5...4...3.2...1.....95..7....58..6......2..4......3..1	autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
F8: 5,6
E9: 5,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E7,D8: 1.. / E7 = 1  =>  4 pairs (_) / D8 = 1  =>  3 pairs (_)
H7,G8: 3.. / H7 = 3  =>  3 pairs (_) / G8 = 3  =>  2 pairs (_)
F7,D9: 4.. / F7 = 4  =>  4 pairs (_) / D9 = 4  =>  3 pairs (_)
F8,E9: 5.. / F8 = 5  =>  3 pairs (_) / E9 = 5  =>  3 pairs (_)
I5,I6: 6.. / I5 = 6  =>  2 pairs (_) / I6 = 6  =>  4 pairs (_)
F8,E9: 6.. / F8 = 6  =>  3 pairs (_) / E9 = 6  =>  3 pairs (_)
B4,A5: 7.. / B4 = 7  =>  3 pairs (_) / A5 = 7  =>  4 pairs (_)
* DURATION: 0:00:04.733968  START: 18:02:52.634627  END: 18:02:57.368595 2020-12-05
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B4,A5: 7.. / B4 = 7 ==>  3 pairs (_) / A5 = 7 ==>  4 pairs (_)
F7,D9: 4.. / F7 = 4 ==>  0 pairs (*) / D9 = 4  =>  0 pairs (X)
* DURATION: 0:00:26.565045  START: 18:02:58.056186  END: 18:03:24.621231 2020-12-05
* REASONING F7,D9: 4..
* DIS # F7: 4 # D4: 7,9 => CTR => D4: 2
* DIS # F7: 4 + D4: 2 # F4: 6,8 => CTR => F4: 7,9
* PRF # F7: 4 + D4: 2 + F4: 7,9 # I6: 6,8 => SOL
* STA # F7: 4 + D4: 2 + F4: 7,9 + I6: 6,8
* CNT   3 HDP CHAINS /  28 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

18100;Kz1 b;GP;23;11.30;11.30;3.40

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B4,A5: 7..:

* INC # A5: 7 # C4: 1,6 => UNS
* INC # A5: 7 # B6: 1,6 => UNS
* INC # A5: 7 # B8: 1,6 => UNS
* INC # A5: 7 # B8: 3,7,9 => UNS
* INC # A5: 7 # E5: 3,9 => UNS
* INC # A5: 7 # E5: 6,8 => UNS
* INC # A5: 7 # D3: 3,9 => UNS
* INC # A5: 7 # D3: 1,2,4,7 => UNS
* INC # A5: 7 => UNS
* INC # B4: 7 # F4: 2,9 => UNS
* INC # B4: 7 # F4: 6,8 => UNS
* INC # B4: 7 # H4: 2,9 => UNS
* INC # B4: 7 # H4: 1,8 => UNS
* INC # B4: 7 # D3: 2,9 => UNS
* INC # B4: 7 # D3: 1,3,4,7 => UNS
* INC # B4: 7 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for F7,D9: 4..:

* INC # F7: 4 # F3: 2,5 => UNS
* INC # F7: 4 # F3: 7,8,9 => UNS
* INC # F7: 4 # G1: 2,5 => UNS
* INC # F7: 4 # H1: 2,5 => UNS
* INC # F7: 4 # I1: 2,5 => UNS
* INC # F7: 4 # E7: 7,9 => UNS
* INC # F7: 4 # D8: 7,9 => UNS
* INC # F7: 4 # B9: 7,9 => UNS
* INC # F7: 4 # H9: 7,9 => UNS
* INC # F7: 4 # D3: 7,9 => UNS
* DIS # F7: 4 # D4: 7,9 => CTR => D4: 2
* INC # F7: 4 + D4: 2 # D5: 7,9 => UNS
* INC # F7: 4 + D4: 2 # E7: 7,9 => UNS
* INC # F7: 4 + D4: 2 # D8: 7,9 => UNS
* INC # F7: 4 + D4: 2 # B9: 7,9 => UNS
* INC # F7: 4 + D4: 2 # H9: 7,9 => UNS
* INC # F7: 4 + D4: 2 # D3: 7,9 => UNS
* INC # F7: 4 + D4: 2 # D5: 7,9 => UNS
* INC # F7: 4 + D4: 2 # F3: 2,5 => UNS
* INC # F7: 4 + D4: 2 # F3: 7,8,9 => UNS
* INC # F7: 4 + D4: 2 # G1: 2,5 => UNS
* INC # F7: 4 + D4: 2 # H1: 2,5 => UNS
* INC # F7: 4 + D4: 2 # I1: 2,5 => UNS
* DIS # F7: 4 + D4: 2 # F4: 6,8 => CTR => F4: 7,9
* INC # F7: 4 + D4: 2 + F4: 7,9 # E5: 6,8 => UNS
* INC # F7: 4 + D4: 2 + F4: 7,9 # E6: 6,8 => UNS
* PRF # F7: 4 + D4: 2 + F4: 7,9 # I6: 6,8 => SOL
* STA # F7: 4 + D4: 2 + F4: 7,9 + I6: 6,8
* CNT  27 HDP CHAINS /  28 HYP OPENED