Pair Reduction Analysis

Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.235518

Deep Constraint Pair Analysis

Time used: 0:00:00.000014

List of important HDP chains detected for E5,D6: 9..:

* DIS # D6: 9 # C7: 7,9 => CTR => C7: 1,2,3,6
* DIS # D6: 9 + C7: 1,2,3,6 # H7: 7,9 => CTR => H7: 1
* DIS # D6: 9 + C7: 1,2,3,6 + H7: 1 # I8: 7,9 => CTR => I8: 5,6,8
* DIS # D6: 9 + C7: 1,2,3,6 + H7: 1 + I8: 5,6,8 # F8: 2 => CTR => F8: 5,6
* DIS # D6: 9 + C7: 1,2,3,6 + H7: 1 + I8: 5,6,8 + F8: 5,6 # D4: 8 => CTR => D4: 5,6
* PRF # D6: 9 + C7: 1,2,3,6 + H7: 1 + I8: 5,6,8 + F8: 5,6 + D4: 5,6 # E1: 1,3 => SOL
* STA # D6: 9 + C7: 1,2,3,6 + H7: 1 + I8: 5,6,8 + F8: 5,6 + D4: 5,6 + E1: 1,3
* CNT   6 HDP CHAINS /  14 HYP OPENED

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

Positions

98.7.....7...6......5..97..4....79.....3...6.....2...1.5...84....41...3.....4...2	initial
98.7.....7...6......5..97..4....79.....3...6.....2...1.5...84....41...3.....4...2	autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (2)
I5: 4,7
H6: 4,7

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* CONSTRAINT PAIRS (AUTO SOLVE)
H4,G5: 2.. / H4 = 2  =>  3 pairs (_) / G5 = 2  =>  3 pairs (_)
D7,F8: 2.. / D7 = 2  =>  4 pairs (_) / F8 = 2  =>  4 pairs (_)
I4,G6: 3.. / I4 = 3  =>  3 pairs (_) / G6 = 3  =>  3 pairs (_)
E7,F9: 3.. / E7 = 3  =>  5 pairs (_) / F9 = 3  =>  3 pairs (_)
B2,B3: 4.. / B2 = 4  =>  2 pairs (_) / B3 = 4  =>  3 pairs (_)
I5,H6: 4.. / I5 = 4  =>  2 pairs (_) / H6 = 4  =>  4 pairs (_)
F5,I5: 4.. / F5 = 4  =>  4 pairs (_) / I5 = 4  =>  2 pairs (_)
A5,A6: 5.. / A5 = 5  =>  4 pairs (_) / A6 = 5  =>  4 pairs (_)
I5,H6: 7.. / I5 = 7  =>  4 pairs (_) / H6 = 7  =>  2 pairs (_)
E7,E8: 7.. / E7 = 7  =>  5 pairs (_) / E8 = 7  =>  3 pairs (_)
H2,I2: 9.. / H2 = 9  =>  3 pairs (_) / I2 = 9  =>  3 pairs (_)
E5,D6: 9.. / E5 = 9  =>  4 pairs (_) / D6 = 9  =>  6 pairs (_)
* DURATION: 0:00:09.971108  START: 05:14:12.683341  END: 05:14:22.654449 2020-12-02
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E5,D6: 9.. / E5 = 9  =>  0 pairs (X) / D6 = 9 ==>  0 pairs (*)
* DURATION: 0:00:21.808173  START: 05:14:23.603229  END: 05:14:45.411402 2020-12-02
* REASONING E5,D6: 9..
* DIS # D6: 9 # C7: 7,9 => CTR => C7: 1,2,3,6
* DIS # D6: 9 + C7: 1,2,3,6 # H7: 7,9 => CTR => H7: 1
* DIS # D6: 9 + C7: 1,2,3,6 + H7: 1 # I8: 7,9 => CTR => I8: 5,6,8
* DIS # D6: 9 + C7: 1,2,3,6 + H7: 1 + I8: 5,6,8 # F8: 2 => CTR => F8: 5,6
* DIS # D6: 9 + C7: 1,2,3,6 + H7: 1 + I8: 5,6,8 + F8: 5,6 # D4: 8 => CTR => D4: 5,6
* PRF # D6: 9 + C7: 1,2,3,6 + H7: 1 + I8: 5,6,8 + F8: 5,6 + D4: 5,6 # E1: 1,3 => SOL
* STA # D6: 9 + C7: 1,2,3,6 + H7: 1 + I8: 5,6,8 + F8: 5,6 + D4: 5,6 + E1: 1,3
* CNT   6 HDP CHAINS /  14 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

12142;kz0;GP;23;11.30;11.30;3.40

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E5,D6: 9..:

* INC # D6: 9 # F8: 2,6 => UNS
* INC # D6: 9 # F8: 5 => UNS
* INC # D6: 9 # A7: 2,6 => UNS
* INC # D6: 9 # C7: 2,6 => UNS
* DIS # D6: 9 # C7: 7,9 => CTR => C7: 1,2,3,6
* DIS # D6: 9 + C7: 1,2,3,6 # H7: 7,9 => CTR => H7: 1
* INC # D6: 9 + C7: 1,2,3,6 + H7: 1 # B8: 7,9 => UNS
* DIS # D6: 9 + C7: 1,2,3,6 + H7: 1 # I8: 7,9 => CTR => I8: 5,6,8
* INC # D6: 9 + C7: 1,2,3,6 + H7: 1 + I8: 5,6,8 # F8: 5,6 => UNS
* DIS # D6: 9 + C7: 1,2,3,6 + H7: 1 + I8: 5,6,8 # F8: 2 => CTR => F8: 5,6
* INC # D6: 9 + C7: 1,2,3,6 + H7: 1 + I8: 5,6,8 + F8: 5,6 # D4: 5,6 => UNS
* DIS # D6: 9 + C7: 1,2,3,6 + H7: 1 + I8: 5,6,8 + F8: 5,6 # D4: 8 => CTR => D4: 5,6
* PRF # D6: 9 + C7: 1,2,3,6 + H7: 1 + I8: 5,6,8 + F8: 5,6 + D4: 5,6 # E1: 1,3 => SOL
* STA # D6: 9 + C7: 1,2,3,6 + H7: 1 + I8: 5,6,8 + F8: 5,6 + D4: 5,6 + E1: 1,3
* CNT  13 HDP CHAINS /  14 HYP OPENED