Analysis of xx-top500-286-base.sdk
Contents
Original Sudoku
level: medium
position: .4....1.....6.2......5.....3..1.........3.4....5....2.82..7..........35.........6 initial
Autosolve
position: 54...3162.3.6.25..26.5...3.3.21546..6..23.415415.6..238263759411.4.2635..534..2.6 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # C2: 7,9 => CTR => C2: 1,8 * DIS # I2: 7,9 => CTR => I2: 4,8 * DIS # D1: 8,9 => CTR => D1: 7 * DIS # E3: 8,9 => CTR => E3: 1,4 * DIS # C1: 7 => CTR => C1: 8,9 * DIS # I2: 7,8 => CTR => I2: 4,9 * DIS # I3: 7,8 => CTR => I3: 4,9 * PRF # B5: 7,8 => SOL * DIS # B5: 9 => CTR => B5: 7,8 * DIS # H4: 7,8 => CTR => H4: 9 * DIS # B5: 7,9 => CTR => B5: 8 * PRF # B5: 8 => SOL * DIS # C2: 7,9 => CTR => C2: 1,8 * PRF # F6: 7,8 => SOL * PRF # B5: 7,8 => SOL * DIS # B5: 9 => CTR => B5: 7,8 * DIS # H4: 7,8 => CTR => H4: 9 * PRF # F6: 7,8 => SOL * DIS # B5: 7,9 => CTR => B5: 8 * PRF # B5: 8 => SOL * DIS # D1: 8,9 => CTR => D1: 7 * DIS # I2: 7,8 => CTR => I2: 4,9 * DIS # I3: 7,8 => CTR => I3: 4,9 * DIS # H4: 7,8 => CTR => H4: 9 * CNT 24 HDP CHAINS / 63 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # C2: 7,9 => CTR => C2: 1,8 * DIS C2: 1,8 # I2: 7,9 => CTR => I2: 4,8 * DIS C2: 1,8 + I2: 4,8 # H2: 8 => CTR => H2: 7,9 * DIS C2: 1,8 + I2: 4,8 + H2: 7,9 # D1: 8,9 => CTR => D1: 7 * DIS C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 # E3: 8,9 => CTR => E3: 1,4 * DIS C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 # I3: 7,8 => CTR => I3: 4,9 * DIS C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 + I3: 4,9 # C3: 1,9 => CTR => C3: 7,8 * PRF C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 + I3: 4,9 + C3: 7,8 # B5: 7,8 => SOL * STA C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 + I3: 4,9 + C3: 7,8 + B5: 7,8 * CNT 8 HDP CHAINS / 20 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .4....1.....6.2......5.....3..1.........3.4....5....2.82..7..........35.........6 | initial |
| 54...3162.3.6.25..26.5...3.3.21546..6..23.415415.6..238263759411.4.2635..534..2.6 | autosolve |
| 548793162931682574267541839372154698689237415415968723826375941194826357753419286 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (12) A2: 7,9 E1: 8,9 G3: 7,8 B4: 7,8 C5: 7,9 F5: 7,8 G6: 7,8 B8: 7,9 A9: 7,9 D8: 8,9 I8: 7,8 H9: 7,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C2,C3: 1.. / C2 = 1 => 12 pairs (_) / C3 = 1 => 13 pairs (_) E9,F9: 1.. / E9 = 1 => 15 pairs (_) / F9 = 1 => 15 pairs (_) C2,E2: 1.. / C2 = 1 => 12 pairs (_) / E2 = 1 => 13 pairs (_) F3,F9: 1.. / F3 = 1 => 15 pairs (_) / F9 = 1 => 15 pairs (_) E2,E3: 4.. / E2 = 4 => 0 pairs (X) / E3 = 4 => 12 pairs (_) I2,I3: 4.. / I2 = 4 => 12 pairs (_) / I3 = 4 => 0 pairs (X) E2,I2: 4.. / E2 = 4 => 0 pairs (X) / I2 = 4 => 12 pairs (_) E3,I3: 4.. / E3 = 4 => 12 pairs (_) / I3 = 4 => 0 pairs (X) D1,F3: 7.. / D1 = 7 => 14 pairs (_) / F3 = 7 => 0 pairs (X) B8,A9: 7.. / B8 = 7 => 0 pairs (X) / A9 = 7 => 0 pairs (_) I8,H9: 7.. / I8 = 7 => 0 pairs (*) / H9 = 7 => 0 pairs (X) C1,D1: 7.. / C1 = 7 => 0 pairs (X) / D1 = 7 => 14 pairs (_) B8,I8: 7.. / B8 = 7 => 0 pairs (X) / I8 = 7 => 0 pairs (_) A9,H9: 7.. / A9 = 7 => 0 pairs (*) / H9 = 7 => 0 pairs (X) A2,A9: 7.. / A2 = 7 => 0 pairs (X) / A9 = 7 => 0 pairs (_) D1,D6: 7.. / D1 = 7 => 14 pairs (_) / D6 = 7 => 0 pairs (X) G3,G6: 7.. / G3 = 7 => 0 pairs (X) / G6 = 7 => 0 pairs (_) B4,B5: 8.. / B4 = 8 => 0 pairs (X) / B5 = 8 => 0 pairs (_) I8,H9: 8.. / I8 = 8 => 0 pairs (X) / H9 = 8 => 0 pairs (_) B5,F5: 8.. / B5 = 8 => 0 pairs (*) / F5 = 8 => 0 pairs (X) D8,I8: 8.. / D8 = 8 => 0 pairs (*) / I8 = 8 => 0 pairs (X) G3,G6: 8.. / G3 = 8 => 0 pairs (*) / G6 = 8 => 0 pairs (X) B5,C5: 9.. / B5 = 9 => 0 pairs (X) / C5 = 9 => 0 pairs (_) D6,F6: 9.. / D6 = 9 => 0 pairs (*) / F6 = 9 => 0 pairs (X) H4,I4: 9.. / H4 = 9 => 16 pairs (_) / I4 = 9 => 0 pairs (X) B8,A9: 9.. / B8 = 9 => 0 pairs (*) / A9 = 9 => 0 pairs (X) B8,D8: 9.. / B8 = 9 => 0 pairs (*) / D8 = 9 => 0 pairs (X) A2,A9: 9.. / A2 = 9 => 0 pairs (*) / A9 = 9 => 0 pairs (X) B5,B8: 9.. / B5 = 9 => 0 pairs (X) / B8 = 9 => 0 pairs (_) H2,H4: 9.. / H2 = 9 => 0 pairs (X) / H4 = 9 => 16 pairs (_) * DURATION: 0:00:49.661353 START: 12:42:18.058318 END: 12:43:07.719671 2017-05-04 * CP COUNT: (30) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A2,A9,B4,B8,C5,D8,E1,F5,G3,G6,H9,I8) * 54...3162.3.6.25..26.5...3.3.21546..6..23.415415.6..238263759411.4.2635..534..2.6 * PAIR A2: 7,9 BLK 1 C1: 7,9,8 # reduction candidate for 7,9 C1: 7,9 # 15 pairs C2: 7,9,1,8 # reduction candidate for 7,9 C2: 7,9 => CTR * 548793162.3.6125842615487393.215469768.23.415415.6..238263759411.4.2635..534.12.6 C2: 1,8 # 13 pairs C3: 7,9,1,8 # reduction candidate for 7,9 C3: 7,9 # 16 pairs * PAIR A2: 7,9 ROW 2 H2: 7,9,8 # reduction candidate for 7,9 H2: 7,9 # 15 pairs I2: 7,9,4,8 # reduction candidate for 7,9 I2: 7,9 => CTR * 54...3162.3164258926.5..7343.21546976..23.415415.6.8238263759411749263589534..276 I2: 4,8 # 13 pairs * PAIR E1: 8,9 BLK 2 D1: 8,9,7 # reduction candidate for 8,9 D1: 8,9 => CTR * 547..316293.6.25..26.5.78393.21546986..23.415415.6..238263759411.4.2635..534..2.6 D1: 7 # 14 pairs E2: 8,9,1,4 # reduction candidate for 8,9 E2: 8,9 # 16 pairs E3: 8,9,1,4 # reduction candidate for 8,9 E3: 8,9 => CTR * 54.7.31627316425..26.5.17343821546..69723841541596..238263759411.4.2635..5341.2.6 E3: 1,4 # 13 pairs F3: 8,9,1,7 # reduction candidate for 8,9 F3: 8,9 # 18 pairs * PAIR E1: 8,9 ROW 1 C1: 8,9,7 # reduction candidate for 8,9 C1: 7 => CTR * 547..316293.6.25..26.5.78393.21546986..23.415415.6..238263759411.4.2635..534..2.6 C1: 8,9 # 14 pairs * PAIR E1: 8,9 COL E E9: 8,9,1 # reduction candidate for 8,9 E9: 8,9 # 15 pairs E9: 1 # 15 pairs * PAIR G3: 7,8 BLK 3 H2: 7,8,9 # reduction candidate for 7,8 H2: 7,8 # 16 pairs I2: 7,8,4,9 # reduction candidate for 7,8 I2: 7,8 => CTR * 54...3162.3164259826.5..7343.21546796..23.415415.6.8238263759411.4826357.534..2.6 I2: 4,9 # 13 pairs I3: 7,8,4,9 # reduction candidate for 7,8 I3: 7,8 => CTR * 54..9316273.6.2594269541.373721546.96..23.415415.6..238263759411.4.2635.9534..276 I3: 4,9 # 13 pairs * PAIR G3: 7,8 ROW 3 C3: 7,8,1,9 # reduction candidate for 7,8 C3: 7,8 # 18 pairs F3: 7,8,1,9 # reduction candidate for 7,8 F3: 7,8 # 20 pairs * PAIR B4: 7,8 BLK 4 B5: 7,8,9 # reduction candidate for 7,8 B5: 7,8 => SOLVED * 548793162931682574267541839372154698689237415415968723826375941194826357753419286 B5: 9 => CTR * 54...3162.3.6.25..26.5...3.3821546..697238415415.6.823826375941174926358953481276 * PAIR B4: 7,8 ROW 4 H4: 7,8,9 # reduction candidate for 7,8 H4: 7,8 => CTR * 54...316273.6.259.26.5...373721546.96..23.415415.6..238263759411.4.2635.9534..276 H4: 9 # 16 pairs I4: 7,8,9 # reduction candidate for 7,8 I4: 7,8 # 16 pairs * PAIR C5: 7,9 BLK 4 B5: 7,9,8 # reduction candidate for 7,9 B5: 7,9 => CTR * 54.7.3162.3.6.25..26.5..73.3821546..6..2384154159678238263759411948263577534..286 B5: 8 => SOLVED * 548793162931682574267541839372154698689237415415968723826375941194826357753419286 * PAIR C5: 7,9 COL C C1: 7,9,8 # reduction candidate for 7,9 C1: 7,9 # 15 pairs C2: 7,9,1,8 # reduction candidate for 7,9 C2: 7,9 => CTR * 548793162.3.6125842615487393.215469768.23.415415.6..238263759411.4.2635..534.12.6 C2: 1,8 # 13 pairs C3: 7,9,1,8 # reduction candidate for 7,9 C3: 7,9 # 16 pairs * PAIR F5: 7,8 BLK 5 D6: 7,8,9 # reduction candidate for 7,8 D6: 7,8 # 14 pairs F6: 7,8,9 # reduction candidate for 7,8 F6: 7,8 => SOLVED * 548793162931682574267541839372154698689237415415968723826375941194826357753419286 F6: 9 # 14 pairs * PAIR F5: 7,8 ROW 5 B5: 7,8,9 # reduction candidate for 7,8 B5: 7,8 => SOLVED * 548793162931682574267541839372154698689237415415968723826375941194826357753419286 B5: 9 => CTR * 54...3162.3.6.25..26.5...3.3821546..697238415415.6.823826375941174926358953481276 * PAIR F5: 7,8 COL F F3: 7,8,1,9 # reduction candidate for 7,8 F3: 7,8 # 20 pairs F3: 1,9 # 16 pairs * PAIR G6: 7,8 BLK 6 H4: 7,8,9 # reduction candidate for 7,8 H4: 7,8 => CTR * 54...316273.6.259.26.5...373721546.96..23.415415.6..238263759411.4.2635.9534..276 H4: 9 # 16 pairs I4: 7,8,9 # reduction candidate for 7,8 I4: 7,8 # 16 pairs * PAIR G6: 7,8 ROW 6 D6: 7,8,9 # reduction candidate for 7,8 D6: 7,8 # 14 pairs F6: 7,8,9 # reduction candidate for 7,8 F6: 7,8 => SOLVED * 548793162931682574267541839372154698689237415415968723826375941194826357753419286 F6: 9 # 14 pairs * PAIR B8: 7,9 COL B B5: 7,9,8 # reduction candidate for 7,9 B5: 7,9 => CTR * 54.7.3162.3.6.25..26.5..73.3821546..6..2384154159678238263759411948263577534..286 B5: 8 => SOLVED * 548793162931682574267541839372154698689237415415968723826375941194826357753419286 * PAIR D8: 8,9 BLK 8 E9: 8,9,1 # reduction candidate for 8,9 E9: 8,9 # 15 pairs F9: 8,9,1 # reduction candidate for 8,9 F9: 8,9 # 15 pairs * PAIR D8: 8,9 COL D D1: 8,9,7 # reduction candidate for 8,9 D1: 8,9 => CTR * 547..316293.6.25..26.5.78393.21546986..23.415415.6..238263759411.4.2635..534..2.6 D1: 7 # 14 pairs D6: 8,9,7 # reduction candidate for 8,9 D6: 8,9 # 14 pairs * PAIR I8: 7,8 COL I I2: 7,8,4,9 # reduction candidate for 7,8 I2: 7,8 => CTR * 54...3162.3164259826.5..7343.21546796..23.415415.6.8238263759411.4826357.534..2.6 I2: 4,9 # 13 pairs I3: 7,8,4,9 # reduction candidate for 7,8 I3: 7,8 => CTR * 54..9316273.6.2594269541.373721546.96..23.415415.6..238263759411.4.2635.9534..276 I3: 4,9 # 13 pairs I4: 7,8,9 # reduction candidate for 7,8 I4: 7,8 # 16 pairs * PAIR H9: 7,8 COL H H2: 7,8,9 # reduction candidate for 7,8 H2: 7,8 # 16 pairs H4: 7,8,9 # reduction candidate for 7,8 H4: 7,8 => CTR * 54...316273.6.259.26.5...373721546.96..23.415415.6..238263759411.4.2635.9534..276 H4: 9 # 16 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-top500-286-base-pr-000.dot * REASONING * DIS # C2: 7,9 => CTR => C2: 1,8 * DIS # I2: 7,9 => CTR => I2: 4,8 * DIS # D1: 8,9 => CTR => D1: 7 * DIS # E3: 8,9 => CTR => E3: 1,4 * DIS # C1: 7 => CTR => C1: 8,9 * DIS # I2: 7,8 => CTR => I2: 4,9 * DIS # I3: 7,8 => CTR => I3: 4,9 * PRF # B5: 7,8 => SOL * DIS # B5: 9 => CTR => B5: 7,8 * DIS # H4: 7,8 => CTR => H4: 9 * DIS # B5: 7,9 => CTR => B5: 8 * PRF # B5: 8 => SOL * DIS # C2: 7,9 => CTR => C2: 1,8 * PRF # F6: 7,8 => SOL * PRF # B5: 7,8 => SOL * DIS # B5: 9 => CTR => B5: 7,8 * DIS # H4: 7,8 => CTR => H4: 9 * PRF # F6: 7,8 => SOL * DIS # B5: 7,9 => CTR => B5: 8 * PRF # B5: 8 => SOL * DIS # D1: 8,9 => CTR => D1: 7 * DIS # I2: 7,8 => CTR => I2: 4,9 * DIS # I3: 7,8 => CTR => I3: 4,9 * DIS # H4: 7,8 => CTR => H4: 9 * CNT 24 HDP CHAINS / 63 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A2,A9,B4,B8,C5,D8,E1,F5,G3,G6,H9,I8) * 54...3162.3.6.25..26.5...3.3.21546..6..23.415415.6..238263759411.4.2635..534..2.6 * PAIR A2: 7,9 BLK 1 C1: 7,9,8 # reduction candidate for 7,9 C1: 7,9 # 15 pairs C2: 7,9,1,8 # reduction candidate for 7,9 C2: 7,9 => CTR * 548793162.3.6125842615487393.215469768.23.415415.6..238263759411.4.2635..534.12.6 C3: 7,9,1,8 # reduction candidate for 7,9 C3: 7,9 # 16 pairs * PAIR A2: 7,9 ROW 2 H2: 7,9,8 # reduction candidate for 7,9 H2: 7,9 # 15 pairs I2: 7,9,4,8 # reduction candidate for 7,9 I2: 7,9 => CTR * 54...3162.3164258926.5..7343.21546976..23.415415.6.8238263759411749263589534..276 * RESTART * PAIR A2: 7,9 ROW 2 H2: 7,9,8 # reduction candidate for 7,9 H2: 8 => CTR * 54...316273.69258426.5417393.21546976.7238415415.6782382637594117492635..534..2.6 * PAIR RESTART * PAIR A2: 7,9 BLK 1 C1: 7,9,8 # reduction candidate for 7,9 C1: 7,9 # 18 pairs C3: 7,9,1,8 # reduction candidate for 7,9 C3: 7,9 # 18 pairs * PAIR E1: 8,9 BLK 2 D1: 8,9,7 # reduction candidate for 8,9 D1: 8,9 => CTR * 547..316293.6.257.26.5.78393.21546986..23.415415.6..238263759411.4.2635..534..2.6 E3: 8,9,1,4 # reduction candidate for 8,9 E3: 8,9 => CTR * 54.7.3162.3.6425.826.5.17343.21546.96.72384154159678238263759411.4.2635..534..2.6 F3: 8,9,1 # reduction candidate for 8,9 F3: 8,9 # 21 pairs * RESTART * PAIR E1: 8,9 BLK 2 F3: 8,9,1 # reduction candidate for 8,9 F3: 8,9 # 21 pairs F3: 1 # 15 pairs * PAIR E1: 8,9 COL E E9: 8,9,1 # reduction candidate for 8,9 E9: 8,9 # 21 pairs E9: 1 # 15 pairs * PAIR G3: 7,8 BLK 3 I3: 7,8,4,9 # reduction candidate for 7,8 I3: 7,8 => CTR * 54.79316273.6.2594269541.373721546.96..23.415415.6..238263759411.4.2635.9534..276 * PAIR G3: 7,8 ROW 3 C3: 7,8,1,9 # reduction candidate for 7,8 C3: 1,9 => CTR * 54.7.316273.6.259.26.5..7343.21546.96.72384154159678238263759411.4.2635..534..2.6 * PAIR RESTART * PAIR B4: 7,8 BLK 4 B5: 7,8,9 # reduction candidate for 7,8 B5: 7,8 => SOLVED * 548793162931682574267541839372154698689237415415968723826375941194826357753419286 * DURATION: 0:00:22.453272 START: 12:44:05.756585 END: 12:44:28.209857 2017-05-04 * SOLUTION FOUND * SAVE PR GRAPH xx-top500-286-base-pr-001.dot * REASONING * DIS # C2: 7,9 => CTR => C2: 1,8 * DIS C2: 1,8 # I2: 7,9 => CTR => I2: 4,8 * DIS C2: 1,8 + I2: 4,8 # H2: 8 => CTR => H2: 7,9 * DIS C2: 1,8 + I2: 4,8 + H2: 7,9 # D1: 8,9 => CTR => D1: 7 * DIS C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 # E3: 8,9 => CTR => E3: 1,4 * DIS C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 # I3: 7,8 => CTR => I3: 4,9 * DIS C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 + I3: 4,9 # C3: 1,9 => CTR => C3: 7,8 * PRF C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 + I3: 4,9 + C3: 7,8 # B5: 7,8 => SOL * STA C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 + I3: 4,9 + C3: 7,8 + B5: 7,8 * CNT 8 HDP CHAINS / 20 HYP OPENED
Header Info
Top 500 Minimum 17 286 solution: 548793162931682574267541839372154698689237415415968723826375941194826357753419286 info: 2332 FNBTWXY S8.f 18636 http://www.sfsudoku.com/su17ExtremeDiff500.txt from http://www.minimumsudoku.com/
Solution
position: 548793162931682574267541839372154698689237415415968723826375941194826357753419286 solved
See section Pair Reduction for the HDP chains leading to this result.
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # C1: 7,9 => UNS * DIS # C2: 7,9 => CTR => C2: 1,8 * INC # C2: 1,8 => UNS * INC # C3: 7,9 => UNS * INC # H2: 7,9 => UNS * DIS # I2: 7,9 => CTR => I2: 4,8 * INC # I2: 4,8 => UNS * DIS # D1: 8,9 => CTR => D1: 7 * INC # D1: 7 => UNS * INC # E2: 8,9 => UNS * DIS # E3: 8,9 => CTR => E3: 1,4 * INC # E3: 1,4 => UNS * INC # F3: 8,9 => UNS * INC # C1: 8,9 => UNS * DIS # C1: 7 => CTR => C1: 8,9 * INC # E9: 8,9 => UNS * INC # E9: 1 => UNS * INC # H2: 7,8 => UNS * DIS # I2: 7,8 => CTR => I2: 4,9 * INC # I2: 4,9 => UNS * DIS # I3: 7,8 => CTR => I3: 4,9 * INC # I3: 4,9 => UNS * INC # C3: 7,8 => UNS * INC # F3: 7,8 => UNS * PRF # B5: 7,8 => SOL * DIS # B5: 9 => CTR => B5: 7,8 * DIS # H4: 7,8 => CTR => H4: 9 * INC # H4: 9 => UNS * INC # I4: 7,8 => UNS * DIS # B5: 7,9 => CTR => B5: 8 * PRF # B5: 8 => SOL * INC # C1: 7,9 => UNS * DIS # C2: 7,9 => CTR => C2: 1,8 * INC # C2: 1,8 => UNS * INC # C3: 7,9 => UNS * INC # D6: 7,8 => UNS * PRF # F6: 7,8 => SOL * INC # F6: 9 => UNS * PRF # B5: 7,8 => SOL * DIS # B5: 9 => CTR => B5: 7,8 * INC # F3: 7,8 => UNS * INC # F3: 1,9 => UNS * DIS # H4: 7,8 => CTR => H4: 9 * INC # H4: 9 => UNS * INC # I4: 7,8 => UNS * INC # D6: 7,8 => UNS * PRF # F6: 7,8 => SOL * INC # F6: 9 => UNS * DIS # B5: 7,9 => CTR => B5: 8 * PRF # B5: 8 => SOL * INC # E9: 8,9 => UNS * INC # F9: 8,9 => UNS * DIS # D1: 8,9 => CTR => D1: 7 * INC # D1: 7 => UNS * INC # D6: 8,9 => UNS * DIS # I2: 7,8 => CTR => I2: 4,9 * INC # I2: 4,9 => UNS * DIS # I3: 7,8 => CTR => I3: 4,9 * INC # I3: 4,9 => UNS * INC # I4: 7,8 => UNS * INC # H2: 7,8 => UNS * DIS # H4: 7,8 => CTR => H4: 9 * INC # H4: 9 => UNS * CNT 63 HDP CHAINS / 63 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C1: 7,9 => UNS * DIS # C2: 7,9 => CTR => C2: 1,8 * INC C2: 1,8 # C3: 7,9 => UNS * INC C2: 1,8 # H2: 7,9 => UNS * DIS C2: 1,8 # I2: 7,9 => CTR => I2: 4,8 * INC C2: 1,8 + I2: 4,8 # H2: 7,9 => UNS * DIS C2: 1,8 + I2: 4,8 # H2: 8 => CTR => H2: 7,9 * INC C2: 1,8 + I2: 4,8 + H2: 7,9 # C1: 7,9 => UNS * INC C2: 1,8 + I2: 4,8 + H2: 7,9 # C3: 7,9 => UNS * DIS C2: 1,8 + I2: 4,8 + H2: 7,9 # D1: 8,9 => CTR => D1: 7 * DIS C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 # E3: 8,9 => CTR => E3: 1,4 * INC C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 # F3: 8,9 => UNS * INC C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 # F3: 8,9 => UNS * INC C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 # F3: 1 => UNS * INC C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 # E9: 8,9 => UNS * INC C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 # E9: 1 => UNS * DIS C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 # I3: 7,8 => CTR => I3: 4,9 * INC C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 + I3: 4,9 # C3: 7,8 => UNS * DIS C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 + I3: 4,9 # C3: 1,9 => CTR => C3: 7,8 * PRF C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 + I3: 4,9 + C3: 7,8 # B5: 7,8 => SOL * STA C2: 1,8 + I2: 4,8 + H2: 7,9 + D1: 7 + E3: 1,4 + I3: 4,9 + C3: 7,8 + B5: 7,8 * CNT 20 HDP CHAINS / 20 HYP OPENED