Pair Reduction Analysis

Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.176002

Deep Constraint Pair Analysis

Time used: 0:00:00.000014

List of important HDP chains detected for A1,A6: 9..:

* DIS # A6: 9 # F3: 3,8 => CTR => F3: 1,6
* DIS # A6: 9 + F3: 1,6 # H3: 3,6 => CTR => H3: 4,5
* DIS # A6: 9 + F3: 1,6 + H3: 4,5 # F4: 1,7 => CTR => F4: 2,5,8
* DIS # A6: 9 + F3: 1,6 + H3: 4,5 + F4: 2,5,8 # D1: 1,7 => CTR => D1: 4,5,6
* PRF # A6: 9 + F3: 1,6 + H3: 4,5 + F4: 2,5,8 + D1: 4,5,6 # D4: 5 => SOL
* STA # A6: 9 + F3: 1,6 + H3: 4,5 + F4: 2,5,8 + D1: 4,5,6 + D4: 5
* CNT   5 HDP CHAINS /  23 HYP OPENED

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

Positions

..3....8..5...91..7..2.........6.9..6..3...7......4..53..8.......7....2..9..1...4	initial
..3....8..5...91..7..2.........6.9..6..3...7......4..53..8.......7....2..9..1...4	autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (2)
B4: 3,7
B6: 3,7

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* CONSTRAINT PAIRS (AUTO SOLVE)
B4,B6: 3.. / B4 = 3  =>  4 pairs (_) / B6 = 3  =>  2 pairs (_)
H4,G5: 4.. / H4 = 4  =>  4 pairs (_) / G5 = 4  =>  3 pairs (_)
G6,H6: 6.. / G6 = 6  =>  4 pairs (_) / H6 = 6  =>  4 pairs (_)
B4,B6: 7.. / B4 = 7  =>  2 pairs (_) / B6 = 7  =>  4 pairs (_)
A1,C3: 9.. / A1 = 9  =>  2 pairs (_) / C3 = 9  =>  9 pairs (_)
A1,I1: 9.. / A1 = 9  =>  2 pairs (_) / I1 = 9  =>  9 pairs (_)
C5,E5: 9.. / C5 = 9  =>  3 pairs (_) / E5 = 9  =>  4 pairs (_)
A1,A6: 9.. / A1 = 9  =>  2 pairs (_) / A6 = 9  =>  9 pairs (_)
D6,D8: 9.. / D6 = 9  =>  3 pairs (_) / D8 = 9  =>  4 pairs (_)
H3,H7: 9.. / H3 = 9  =>  4 pairs (_) / H7 = 9  =>  3 pairs (_)
* DURATION: 0:00:09.135614  START: 23:33:41.055377  END: 23:33:50.190991 2020-11-24
* CP COUNT: (10)
* INCONCLUSIVE

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* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A1,A6: 9.. / A1 = 9  =>  0 pairs (X) / A6 = 9 ==>  0 pairs (*)
* DURATION: 0:00:28.113838  START: 23:33:50.979016  END: 23:34:19.092854 2020-11-24
* REASONING A1,A6: 9..
* DIS # A6: 9 # F3: 3,8 => CTR => F3: 1,6
* DIS # A6: 9 + F3: 1,6 # H3: 3,6 => CTR => H3: 4,5
* DIS # A6: 9 + F3: 1,6 + H3: 4,5 # F4: 1,7 => CTR => F4: 2,5,8
* DIS # A6: 9 + F3: 1,6 + H3: 4,5 + F4: 2,5,8 # D1: 1,7 => CTR => D1: 4,5,6
* PRF # A6: 9 + F3: 1,6 + H3: 4,5 + F4: 2,5,8 + D1: 4,5,6 # D4: 5 => SOL
* STA # A6: 9 + F3: 1,6 + H3: 4,5 + F4: 2,5,8 + D1: 4,5,6 + D4: 5
* CNT   5 HDP CHAINS /  23 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1084;L77;elev;21;11.30;11.30;3.40

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A1,A6: 9..:

* INC # A6: 9 # D1: 5,7 => UNS
* INC # A6: 9 # F1: 5,7 => UNS
* INC # A6: 9 # E7: 5,7 => UNS
* INC # A6: 9 # E7: 2,4 => UNS
* INC # A6: 9 # E2: 3,8 => UNS
* DIS # A6: 9 # F3: 3,8 => CTR => F3: 1,6
* INC # A6: 9 + F3: 1,6 # H2: 3,6 => UNS
* INC # A6: 9 + F3: 1,6 # G3: 3,6 => UNS
* DIS # A6: 9 + F3: 1,6 # H3: 3,6 => CTR => H3: 4,5
* INC # A6: 9 + F3: 1,6 + H3: 4,5 # I8: 3,6 => UNS
* INC # A6: 9 + F3: 1,6 + H3: 4,5 # I8: 1,8 => UNS
* INC # A6: 9 + F3: 1,6 + H3: 4,5 # H2: 3,6 => UNS
* INC # A6: 9 + F3: 1,6 + H3: 4,5 # G3: 3,6 => UNS
* INC # A6: 9 + F3: 1,6 + H3: 4,5 # I8: 3,6 => UNS
* INC # A6: 9 + F3: 1,6 + H3: 4,5 # I8: 1,8 => UNS
* INC # A6: 9 + F3: 1,6 + H3: 4,5 # D4: 1,7 => UNS
* DIS # A6: 9 + F3: 1,6 + H3: 4,5 # F4: 1,7 => CTR => F4: 2,5,8
* INC # A6: 9 + F3: 1,6 + H3: 4,5 + F4: 2,5,8 # D4: 1,7 => UNS
* INC # A6: 9 + F3: 1,6 + H3: 4,5 + F4: 2,5,8 # D4: 5 => UNS
* DIS # A6: 9 + F3: 1,6 + H3: 4,5 + F4: 2,5,8 # D1: 1,7 => CTR => D1: 4,5,6
* INC # A6: 9 + F3: 1,6 + H3: 4,5 + F4: 2,5,8 + D1: 4,5,6 # D4: 1,7 => UNS
* PRF # A6: 9 + F3: 1,6 + H3: 4,5 + F4: 2,5,8 + D1: 4,5,6 # D4: 5 => SOL
* STA # A6: 9 + F3: 1,6 + H3: 4,5 + F4: 2,5,8 + D1: 4,5,6 + D4: 5
* CNT  22 HDP CHAINS /  23 HYP OPENED