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: 0:00:34.266103

The following important HDP chains were detected:

* PRF # E1: 4,5 # F4: 2 => SOL
* STA # E1: 4,5 + F4: 2
* CNT   1 HDP CHAINS /  48 HYP OPENED

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

Positions

.....1..2....2.34...23..5....4.3...5.5...6...78.9.......5.1...3.6.7...5.9.....8..	initial
.....1..2....2.34...23..5....4.3...5.5...6...78.9.......5.1...3.6.7...5.9.....8..	autosolve
376541982598627341142398567614832795259176438783954126825419673461783259937265814	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
E6: 4,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D4,D5: 1.. / D4 = 1  =>  3 pairs (_) / D5 = 1  =>  4 pairs (_)
H5,H6: 3.. / H5 = 3  =>  5 pairs (_) / H6 = 3  =>  2 pairs (_)
F8,F9: 3.. / F8 = 3  =>  2 pairs (_) / F9 = 3  =>  2 pairs (_)
C6,H6: 3.. / C6 = 3  =>  5 pairs (_) / H6 = 3  =>  2 pairs (_)
B1,B9: 3.. / B1 = 3  =>  1 pairs (_) / B9 = 3  =>  3 pairs (_)
A1,A2: 5.. / A1 = 5  =>  1 pairs (_) / A2 = 5  =>  2 pairs (_)
E6,F6: 5.. / E6 = 5  =>  2 pairs (_) / F6 = 5  =>  4 pairs (_)
A4,C6: 6.. / A4 = 6  =>  2 pairs (_) / C6 = 6  =>  3 pairs (_)
F4,E5: 7.. / F4 = 7  =>  2 pairs (_) / E5 = 7  =>  2 pairs (_)
B4,C5: 9.. / B4 = 9  =>  4 pairs (_) / C5 = 9  =>  2 pairs (_)
* DURATION: 0:00:07.789480  START: 15:47:09.641951  END: 15:47:17.431431 2020-12-23
* CP COUNT: (10)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:34.001921  START: 15:47:21.733263  END: 15:47:55.735184 2020-12-23
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00247954-12_12_03-base-pr-002.dot
* REASONING
* PRF # E1: 4,5 # F4: 2 => SOL
* STA # E1: 4,5 + F4: 2
* CNT   1 HDP CHAINS /  48 HYP OPENED

Header Info

247954;12_12_03;dob;24;11.30;11.30;7.80

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # F6: 4,5 => UNS
* INC # F6: 2 => UNS
* INC # E1: 4,5 => UNS
* INC # E9: 4,5 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # F6: 4,5 => UNS
* INC # F6: 2 => UNS
* INC # E1: 4,5 => UNS
* INC # E9: 4,5 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # F6: 4,5 => UNS
* INC # F6: 2 => UNS
* INC # E1: 4,5 => UNS
* INC # E9: 4,5 => UNS
* INC # F6: 4,5 # F4: 7,8 => UNS
* INC # F6: 4,5 # F4: 2 => UNS
* INC # F6: 4,5 # H5: 7,8 => UNS
* INC # F6: 4,5 # I5: 7,8 => UNS
* INC # F6: 4,5 # E1: 7,8 => UNS
* INC # F6: 4,5 # E3: 7,8 => UNS
* INC # F6: 4,5 # E1: 4,5 => UNS
* INC # F6: 4,5 # E9: 4,5 => UNS
* INC # F6: 4,5 # F9: 4,5 => UNS
* INC # F6: 4,5 # F9: 2,3 => UNS
* INC # F6: 4,5 # G4: 1,6 => UNS
* INC # F6: 4,5 # H4: 1,6 => UNS
* INC # F6: 4,5 # G6: 1,6 => UNS
* INC # F6: 4,5 # H6: 1,6 => UNS
* INC # F6: 4,5 # C6: 1,6 => UNS
* INC # F6: 4,5 # C6: 3 => UNS
* INC # F6: 4,5 # I2: 1,6 => UNS
* INC # F6: 4,5 # I3: 1,6 => UNS
* INC # F6: 4,5 # I9: 1,6 => UNS
* INC # F6: 4,5 => UNS
* INC # F6: 2 # D5: 1,8 => UNS
* INC # F6: 2 # D5: 4 => UNS
* INC # F6: 2 # H4: 1,8 => UNS
* INC # F6: 2 # H4: 2,6,7,9 => UNS
* INC # F6: 2 # E5: 7,8 => UNS
* INC # F6: 2 # E5: 4 => UNS
* INC # F6: 2 # H4: 7,8 => UNS
* INC # F6: 2 # H4: 1,2,6,9 => UNS
* INC # F6: 2 # F2: 7,8 => UNS
* INC # F6: 2 # F3: 7,8 => UNS
* INC # F6: 2 # D7: 4,6 => UNS
* INC # F6: 2 # D9: 4,6 => UNS
* INC # F6: 2 # I9: 4,6 => UNS
* INC # F6: 2 # I9: 1,7 => UNS
* INC # F6: 2 # E1: 4,6 => UNS
* INC # F6: 2 # E3: 4,6 => UNS
* INC # F6: 2 => UNS
* INC # E1: 4,5 # D1: 4,5 => UNS
* INC # E1: 4,5 # D1: 6,8 => UNS
* INC # E1: 4,5 # A1: 4,5 => UNS
* INC # E1: 4,5 # A1: 3,6,8 => UNS
* INC # E1: 4,5 # F4: 7,8 => UNS
* PRF # E1: 4,5 # F4: 2 => SOL
* STA # E1: 4,5 + F4: 2
* CNT  47 HDP CHAINS /  48 HYP OPENED