Analysis of xx-top500-182-base.sdk
Contents
Original Sudoku
level: medium
position: 5..74.6....1............7..4......12.6.3...............4....38.....12......5..... initial
Autosolve
position: 52.74.6.1..1...24...412.75.4......1226.3.14...1.2.4...142...385...4129....65..124 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # I3: 3,9 => SOL * PRF # C1: 3,9 => SOL * DIS # C1: 8 => CTR => C1: 3,9 * DIS # F1: 3,9 => CTR => F1: 8 * PRF # F1: 8 => SOL * DIS # B4: 5,8 => CTR => B4: 3,9 * PRF # B4: 3,9 => SOL * DIS # C4: 5,8 => CTR => C4: 3,7,9 * PRF # C6: 5,8 => SOL * DIS # C8: 5,8 => CTR => C8: 3 * PRF # C8: 3 => SOL * DIS # B4: 8,9 => CTR => B4: 3,5 * DIS # C4: 8,9 => CTR => C4: 3,5,7 * DIS # C6: 8,9 => CTR => C6: 5,7 * DIS # E6: 8,9 => CTR => E6: 5,7 * DIS # A2: 8,9 => CTR => A2: 3,6,7 * DIS # A3: 8,9 => CTR => A3: 3,6 * DIS # E4: 5,8 => CTR => E4: 6,7,9 * DIS # F4: 5,8 => CTR => F4: 6,7,9 * DIS # E6: 5,8 => CTR => E6: 7,9 * DIS # E2: 5,8 => CTR => E2: 3,6,9 * DIS # B4: 5,8 => CTR => B4: 3,9 * PRF # B4: 3,9 => SOL * DIS # C4: 5,8 => CTR => C4: 3,7,9 * DIS # E4: 5,8 => CTR => E4: 6,7,9 * DIS # F4: 5,8 => CTR => F4: 6,7,9 * PRF # C6: 5,8 => SOL * DIS # E6: 5,8 => CTR => E6: 7,9 * DIS # B8: 3,8 => CTR => B8: 5 * DIS # A2: 3,8 => CTR => A2: 6,7,9 * PRF # A3: 3,8 => SOL * DIS # A2: 7,9 => CTR => A2: 3,6,8 * DIS # B2: 3,8 => CTR => B2: 7,9 * PRF # D2: 6,9 => SOL * DIS # D2: 8 => CTR => D2: 6,9 * DIS # D4: 6,9 => CTR => D4: 8 * PRF # D4: 8 => SOL * PRF # E2: 3,8 => SOL * DIS # E2: 5,6,9 => CTR => E2: 3,8 * DIS # F2: 3,8 => CTR => F2: 5,6,9 * DIS # F3: 3,8 => CTR => F3: 6,9 * CNT 41 HDP CHAINS / 71 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # I3: 3,9 => SOL * STA I3: 3,9 * CNT 1 HDP CHAINS / 2 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 5..74.6....1............7..4......12.6.3...............4....38.....12......5..... | initial |
| 52.74.6.1..1...24...412.75.4......1226.3.14...1.2.4...142...385...4129....65..124 | autosolve |
| 529748631671935248384126759437869512268351497915274863142697385853412976796583124 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (18) H1: 3,9 C5: 5,8 A6: 8,9 E5: 5,8 G4: 5,8 H5: 7,9 I5: 7,9 G6: 5,8 H6: 3,6 I6: 3,6 A8: 3,8 A9: 7,9 B9: 7,9 D7: 6,9 E9: 3,8 F9: 3,8 H8: 6,7 I8: 6,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B4,C4: 3.. / B4 = 3 => 0 pairs (*) / C4 = 3 => 0 pairs (X) H6,I6: 3.. / H6 = 3 => 0 pairs (X) / I6 = 3 => 15 pairs (_) E9,F9: 3.. / E9 = 3 => 0 pairs (X) / F9 = 3 => 0 pairs (_) E2,E9: 3.. / E2 = 3 => 0 pairs (*) / E9 = 3 => 0 pairs (X) H1,H6: 3.. / H1 = 3 => 15 pairs (_) / H6 = 3 => 0 pairs (X) E2,F2: 5.. / E2 = 5 => 0 pairs (X) / F2 = 5 => 18 pairs (_) G4,G6: 5.. / G4 = 5 => 0 pairs (*) / G6 = 5 => 0 pairs (X) B8,C8: 5.. / B8 = 5 => 19 pairs (_) / C8 = 5 => 0 pairs (X) C5,E5: 5.. / C5 = 5 => 0 pairs (X) / E5 = 5 => 0 pairs (_) B4,B8: 5.. / B4 = 5 => 0 pairs (X) / B8 = 5 => 19 pairs (_) F2,F4: 5.. / F2 = 5 => 18 pairs (_) / F4 = 5 => 0 pairs (X) A2,A3: 6.. / A2 = 6 => 19 pairs (_) / A3 = 6 => 21 pairs (_) H6,I6: 6.. / H6 = 6 => 15 pairs (_) / I6 = 6 => 0 pairs (X) H8,I8: 6.. / H8 = 6 => 0 pairs (X) / I8 = 6 => 15 pairs (_) A3,F3: 6.. / A3 = 6 => 21 pairs (_) / F3 = 6 => 19 pairs (_) H6,H8: 6.. / H6 = 6 => 15 pairs (_) / H8 = 6 => 0 pairs (X) I6,I8: 6.. / I6 = 6 => 0 pairs (X) / I8 = 6 => 15 pairs (_) A2,B2: 7.. / A2 = 7 => 0 pairs (X) / B2 = 7 => 17 pairs (_) C4,C6: 7.. / C4 = 7 => 0 pairs (*) / C6 = 7 => 0 pairs (X) H5,I5: 7.. / H5 = 7 => 0 pairs (X) / I5 = 7 => 15 pairs (_) A9,B9: 7.. / A9 = 7 => 17 pairs (_) / B9 = 7 => 0 pairs (X) E7,F7: 7.. / E7 = 7 => 19 pairs (_) / F7 = 7 => 19 pairs (_) H8,I8: 7.. / H8 = 7 => 15 pairs (_) / I8 = 7 => 0 pairs (X) C6,E6: 7.. / C6 = 7 => 18 pairs (_) / E6 = 7 => 0 pairs (*) A2,A9: 7.. / A2 = 7 => 0 pairs (X) / A9 = 7 => 17 pairs (_) B2,B9: 7.. / B2 = 7 => 17 pairs (_) / B9 = 7 => 0 pairs (X) F4,F7: 7.. / F4 = 7 => 19 pairs (_) / F7 = 7 => 19 pairs (_) H5,H8: 7.. / H5 = 7 => 0 pairs (X) / H8 = 7 => 15 pairs (_) I5,I8: 7.. / I5 = 7 => 15 pairs (_) / I8 = 7 => 0 pairs (X) I2,I3: 8.. / I2 = 8 => 0 pairs (*) / I3 = 8 => 0 pairs (X) G4,G6: 8.. / G4 = 8 => 0 pairs (X) / G6 = 8 => 0 pairs (_) E9,F9: 8.. / E9 = 8 => 0 pairs (*) / F9 = 8 => 0 pairs (X) C1,F1: 8.. / C1 = 8 => 0 pairs (X) / F1 = 8 => 0 pairs (_) C5,E5: 8.. / C5 = 8 => 0 pairs (*) / E5 = 8 => 0 pairs (X) D2,D4: 8.. / D2 = 8 => 0 pairs (X) / D4 = 8 => 0 pairs (_) H5,I5: 9.. / H5 = 9 => 15 pairs (_) / I5 = 9 => 0 pairs (X) A9,B9: 9.. / A9 = 9 => 0 pairs (X) / B9 = 9 => 17 pairs (_) H1,H5: 9.. / H1 = 9 => 0 pairs (X) / H5 = 9 => 15 pairs (_) * DURATION: 0:01:14.497358 START: 08:54:22.284478 END: 08:55:36.781836 2017-05-04 * CP COUNT: (38) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A6,A8,A9,B9,C5,D7,E5,E9,F9,G4,G6,H1,H5,H6,H8,I5,I6,I8) * 52.74.6.1..1...24...412.75.4......1226.3.14...1.2.4...142...385...4129....65..124 * PAIR H1: 3,9 BLK 3 I2: 3,9,8 # reduction candidate for 3,9 I2: 3,9 # 20 pairs I3: 3,9,8 # reduction candidate for 3,9 I3: 3,9 => SOLVED * 529748631671935248384126759437869512268351497915274863142697385853412976796583124 I3: 8 # 20 pairs * PAIR H1: 3,9 ROW 1 C1: 3,9,8 # reduction candidate for 3,9 C1: 3,9 => SOLVED * 529748631671935248384126759437869512268351497915274863142697385853412976796583124 C1: 8 => CTR * 52874.6.1..1...24...412.75.4......122653814...1.2.4...142...385.534129....6538124 F1: 3,9,8 # reduction candidate for 3,9 F1: 3,9 => CTR * 52874.6.1..1...24...412.75.4......122653814...1.2.4...142...385.534129....6538124 F1: 8 => SOLVED * 529748631671935248384126759437869512268351497915274863142697385853412976796583124 * PAIR C5: 5,8 BLK 4 B4: 5,8,3,9 # reduction candidate for 5,8 B4: 5,8 => CTR * 529748631..1...24...412.75.4.38..51226.3.14...172.4...142...385...4129....65..124 B4: 3,9 => SOLVED * 529748631671935248384126759437869512268351497915274863142697385853412976796583124 C4: 5,8,3,7,9 # reduction candidate for 5,8 C4: 5,8 => CTR * 529748631..1...24..8412.75943.8..51226.3.14...172.4...142...385.5.4129....65..124 C4: 3,7,9 # 18 pairs C6: 5,8,7,9 # reduction candidate for 5,8 C6: 5,8 => SOLVED * 529748631671935248384126759437869512268351497915274863142697385853412976796583124 C6: 7,9 # 19 pairs * PAIR C5: 5,8 COL C C8: 5,8,3 # reduction candidate for 5,8 C8: 5,8 => CTR * 52.7486.1..1...24...412.75.4..8..51226.3.14...1.2.4...142...385...4129....65..124 C8: 3 => SOLVED * 529748631671935248384126759437869512268351497915274863142697385853412976796583124 * PAIR A6: 8,9 BLK 4 B4: 8,9,3,5 # reduction candidate for 8,9 B4: 8,9 => CTR * 529748631..1...24...412.75.4.38..5122653.14...172.4...142...385.584129....65..124 B4: 3,5 # 19 pairs C4: 8,9,3,5,7 # reduction candidate for 8,9 C4: 8,9 => CTR * 52874.6.1..18..24..9412.7584396..8122653814..8172945..1429..38535.4129....6538124 C4: 3,5,7 # 18 pairs C6: 8,9,5,7 # reduction candidate for 8,9 C6: 8,9 => CTR * 52874.6.1..18..24..9412.758437...8122653814..8192745..142..738535.4129....6538124 C6: 5,7 # 19 pairs * PAIR A6: 8,9 ROW 6 E6: 8,9,5,7 # reduction candidate for 8,9 E6: 8,9 => CTR * 52874.6.1..18..24...412.7584.....81226.3.14...172.45..142...385.854129....65.8124 E6: 5,7 # 19 pairs * PAIR A6: 8,9 COL A A2: 8,9,3,6,7 # reduction candidate for 8,9 A2: 8,9 => CTR * 52.7486.1.71...24.6.412975.4..8..51226.3.14...1.2.4...142...3853..4129..7965..124 A2: 3,6,7 # 18 pairs A3: 8,9,3,6 # reduction candidate for 8,9 A3: 8,9 => CTR * 52.7486.16719..248..412675.4..86.51226.3.14...1.2.4...142...3853..4129..7965..124 A3: 3,6 # 19 pairs * PAIR E5: 5,8 BLK 5 E4: 5,8,6,7,9 # reduction candidate for 5,8 E4: 5,8 => CTR * 52.74.6.1..18.524...412.7584......1226.3.14...1.2.4...142...385...4129....65..124 E4: 6,7,9 # 18 pairs F4: 5,8,6,7,9 # reduction candidate for 5,8 F4: 5,8 => CTR * 52874.6.1..18..24...412.7584......122653814...1.2.4...142..7385.534129....6538124 F4: 6,7,9 # 18 pairs E6: 5,8,7,9 # reduction candidate for 5,8 E6: 5,8 => CTR * 529748631.71...24...412.75.4..8..51226.3.14..9172.4...142...385...4129..7965..124 E6: 7,9 # 19 pairs * PAIR E5: 5,8 COL E E2: 5,8,3,6,9 # reduction candidate for 5,8 E2: 5,8 => CTR * 52874.6.1..1...24...412.7584......122653814...1.2.4...142...385.534129....6538124 E2: 3,6,9 # 18 pairs * PAIR G4: 5,8 ROW 4 B4: 5,8,3,9 # reduction candidate for 5,8 B4: 5,8 => CTR * 529748631..1...24...412.75.4.38..51226.3.14...172.4...142...385...4129....65..124 B4: 3,9 => SOLVED * 529748631671935248384126759437869512268351497915274863142697385853412976796583124 C4: 5,8,3,7,9 # reduction candidate for 5,8 C4: 5,8 => CTR * 529748631..1...24..8412.75943.8..51226.3.14...172.4...142...385.5.4129....65..124 C4: 3,7,9 # 18 pairs E4: 5,8,6,7,9 # reduction candidate for 5,8 E4: 5,8 => CTR * 52.74.6.1..18.524...412.7584......1226.3.14...1.2.4...142...385...4129....65..124 E4: 6,7,9 # 18 pairs F4: 5,8,6,7,9 # reduction candidate for 5,8 F4: 5,8 => CTR * 52874.6.1..18..24...412.7584......122653814...1.2.4...142..7385.534129....6538124 F4: 6,7,9 # 18 pairs * PAIR G6: 5,8 ROW 6 C6: 5,8,7,9 # reduction candidate for 5,8 C6: 5,8 => SOLVED * 529748631671935248384126759437869512268351497915274863142697385853412976796583124 C6: 7,9 # 19 pairs E6: 5,8,7,9 # reduction candidate for 5,8 E6: 5,8 => CTR * 529748631.71...24...412.75.4..8..51226.3.14..9172.4...142...385...4129..7965..124 E6: 7,9 # 19 pairs * PAIR A8: 3,8 BLK 7 B8: 3,8,5 # reduction candidate for 3,8 B8: 3,8 => CTR * 52.74.6.1..1...24...412.75.453...8122683514..9172845..142...385..54129..796538124 B8: 5 # 19 pairs C8: 3,8,5 # reduction candidate for 3,8 C8: 3,8 # 19 pairs * PAIR A8: 3,8 COL A A2: 3,8,6,7,9 # reduction candidate for 3,8 A2: 3,8 => CTR * 529748631.71...24.6.412.75.4..8..512268351497915274863142..7385.53412976796583124 A2: 6,7,9 # 18 pairs A3: 3,8,6,9 # reduction candidate for 3,8 A3: 3,8 => SOLVED * 529748631671935248384126759437869512268351497915274863142697385853412976796583124 A3: 6,9 # 19 pairs * PAIR A9: 7,9 COL A A2: 7,9,3,6,8 # reduction candidate for 7,9 A2: 7,9 => CTR * 52.74.6.1..1...24.6.412.75.4.....8122653814..81.2.45..142...3853584129....6538124 A2: 3,6,8 # 17 pairs * PAIR B9: 7,9 COL B B2: 7,9,3,8 # reduction candidate for 7,9 B2: 3,8 => CTR * 52.74.6.17.1...24.6.412.75.4.....8122653814..81.2.45..142...3853584129..976538124 B2: 7,9 # 20 pairs * PAIR D7: 6,9 BLK 8 E7: 6,9,7 # reduction candidate for 6,9 E7: 6,9 # 19 pairs F7: 6,9,7 # reduction candidate for 6,9 F7: 6,9 # 19 pairs * PAIR D7: 6,9 COL D D2: 6,9,8 # reduction candidate for 6,9 D2: 6,9 => SOLVED * 529748631671935248384126759437869512268351497915274863142697385853412976796583124 D2: 8 => CTR * 52874.6.1..18..24...412.7584......122653814...1.2.4...142...385.534129....6538124 D4: 6,9,8 # reduction candidate for 6,9 D4: 6,9 => CTR * 52874.6.1..18..24...412.7584......122653814...1.2.4...142...385.534129....6538124 D4: 8 => SOLVED * 529748631671935248384126759437869512268351497915274863142697385853412976796583124 * PAIR E9: 3,8 COL E E2: 3,8,5,6,9 # reduction candidate for 3,8 E2: 3,8 => SOLVED * 529748631671935248384126759437869512268351497915274863142697385853412976796583124 E2: 5,6,9 => CTR * 52874.6.1..18..24...412.7584......122653814...1.2.4...142...385.534129....6538124 * PAIR F9: 3,8 COL F F1: 3,8,9 # reduction candidate for 3,8 F1: 3,8 # 20 pairs F2: 3,8,5,6,9 # reduction candidate for 3,8 F2: 3,8 => CTR * 52874.6.1..1853249..41267584....581226538149781.2.45.3142..738535.4129....6538124 F2: 5,6,9 # 18 pairs F3: 3,8,6,9 # reduction candidate for 3,8 F3: 3,8 => CTR * 528749631..1...24.6.412.75.4......12265381497.1.2.4.63142...385.53412976..6538124 F3: 6,9 # 19 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-top500-182-base-pr-000.dot * REASONING * PRF # I3: 3,9 => SOL * PRF # C1: 3,9 => SOL * DIS # C1: 8 => CTR => C1: 3,9 * DIS # F1: 3,9 => CTR => F1: 8 * PRF # F1: 8 => SOL * DIS # B4: 5,8 => CTR => B4: 3,9 * PRF # B4: 3,9 => SOL * DIS # C4: 5,8 => CTR => C4: 3,7,9 * PRF # C6: 5,8 => SOL * DIS # C8: 5,8 => CTR => C8: 3 * PRF # C8: 3 => SOL * DIS # B4: 8,9 => CTR => B4: 3,5 * DIS # C4: 8,9 => CTR => C4: 3,5,7 * DIS # C6: 8,9 => CTR => C6: 5,7 * DIS # E6: 8,9 => CTR => E6: 5,7 * DIS # A2: 8,9 => CTR => A2: 3,6,7 * DIS # A3: 8,9 => CTR => A3: 3,6 * DIS # E4: 5,8 => CTR => E4: 6,7,9 * DIS # F4: 5,8 => CTR => F4: 6,7,9 * DIS # E6: 5,8 => CTR => E6: 7,9 * DIS # E2: 5,8 => CTR => E2: 3,6,9 * DIS # B4: 5,8 => CTR => B4: 3,9 * PRF # B4: 3,9 => SOL * DIS # C4: 5,8 => CTR => C4: 3,7,9 * DIS # E4: 5,8 => CTR => E4: 6,7,9 * DIS # F4: 5,8 => CTR => F4: 6,7,9 * PRF # C6: 5,8 => SOL * DIS # E6: 5,8 => CTR => E6: 7,9 * DIS # B8: 3,8 => CTR => B8: 5 * DIS # A2: 3,8 => CTR => A2: 6,7,9 * PRF # A3: 3,8 => SOL * DIS # A2: 7,9 => CTR => A2: 3,6,8 * DIS # B2: 3,8 => CTR => B2: 7,9 * PRF # D2: 6,9 => SOL * DIS # D2: 8 => CTR => D2: 6,9 * DIS # D4: 6,9 => CTR => D4: 8 * PRF # D4: 8 => SOL * PRF # E2: 3,8 => SOL * DIS # E2: 5,6,9 => CTR => E2: 3,8 * DIS # F2: 3,8 => CTR => F2: 5,6,9 * DIS # F3: 3,8 => CTR => F3: 6,9 * CNT 41 HDP CHAINS / 71 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A6,A8,A9,B9,C5,D7,E5,E9,F9,G4,G6,H1,H5,H6,H8,I5,I6,I8) * 52.74.6.1..1...24...412.75.4......1226.3.14...1.2.4...142...385...4129....65..124 * PAIR H1: 3,9 BLK 3 I2: 3,9,8 # reduction candidate for 3,9 I2: 3,9 # 20 pairs I3: 3,9,8 # reduction candidate for 3,9 I3: 3,9 => SOLVED * 529748631671935248384126759437869512268351497915274863142697385853412976796583124 * DURATION: 0:00:03.367854 START: 08:56:54.558742 END: 08:56:57.926596 2017-05-04 * SOLUTION FOUND * SAVE PR GRAPH xx-top500-182-base-pr-001.dot * REASONING * PRF # I3: 3,9 => SOL * STA I3: 3,9 * CNT 1 HDP CHAINS / 2 HYP OPENED
Header Info
Top 500 Minimum 17 182 solution: 529748631671935248384126759437869512268351497915274863142697385853412976796583124 info: 1828 FNBTWY S8.f 33115 http://www.sfsudoku.com/su17ExtremeDiff500.txt from http://www.minimumsudoku.com/
Solution
position: 529748631671935248384126759437869512268351497915274863142697385853412976796583124 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 # I2: 3,9 => UNS * PRF # I3: 3,9 => SOL * INC # I3: 8 => UNS * PRF # C1: 3,9 => SOL * DIS # C1: 8 => CTR => C1: 3,9 * DIS # F1: 3,9 => CTR => F1: 8 * PRF # F1: 8 => SOL * DIS # B4: 5,8 => CTR => B4: 3,9 * PRF # B4: 3,9 => SOL * DIS # C4: 5,8 => CTR => C4: 3,7,9 * INC # C4: 3,7,9 => UNS * PRF # C6: 5,8 => SOL * INC # C6: 7,9 => UNS * DIS # C8: 5,8 => CTR => C8: 3 * PRF # C8: 3 => SOL * DIS # B4: 8,9 => CTR => B4: 3,5 * INC # B4: 3,5 => UNS * DIS # C4: 8,9 => CTR => C4: 3,5,7 * INC # C4: 3,5,7 => UNS * DIS # C6: 8,9 => CTR => C6: 5,7 * INC # C6: 5,7 => UNS * DIS # E6: 8,9 => CTR => E6: 5,7 * INC # E6: 5,7 => UNS * DIS # A2: 8,9 => CTR => A2: 3,6,7 * INC # A2: 3,6,7 => UNS * DIS # A3: 8,9 => CTR => A3: 3,6 * INC # A3: 3,6 => UNS * DIS # E4: 5,8 => CTR => E4: 6,7,9 * INC # E4: 6,7,9 => UNS * DIS # F4: 5,8 => CTR => F4: 6,7,9 * INC # F4: 6,7,9 => UNS * DIS # E6: 5,8 => CTR => E6: 7,9 * INC # E6: 7,9 => UNS * DIS # E2: 5,8 => CTR => E2: 3,6,9 * INC # E2: 3,6,9 => UNS * DIS # B4: 5,8 => CTR => B4: 3,9 * PRF # B4: 3,9 => SOL * DIS # C4: 5,8 => CTR => C4: 3,7,9 * INC # C4: 3,7,9 => UNS * DIS # E4: 5,8 => CTR => E4: 6,7,9 * INC # E4: 6,7,9 => UNS * DIS # F4: 5,8 => CTR => F4: 6,7,9 * INC # F4: 6,7,9 => UNS * PRF # C6: 5,8 => SOL * INC # C6: 7,9 => UNS * DIS # E6: 5,8 => CTR => E6: 7,9 * INC # E6: 7,9 => UNS * DIS # B8: 3,8 => CTR => B8: 5 * INC # B8: 5 => UNS * INC # C8: 3,8 => UNS * DIS # A2: 3,8 => CTR => A2: 6,7,9 * INC # A2: 6,7,9 => UNS * PRF # A3: 3,8 => SOL * INC # A3: 6,9 => UNS * DIS # A2: 7,9 => CTR => A2: 3,6,8 * INC # A2: 3,6,8 => UNS * INC # B2: 7,9 => UNS * DIS # B2: 3,8 => CTR => B2: 7,9 * INC # E7: 6,9 => UNS * INC # F7: 6,9 => UNS * PRF # D2: 6,9 => SOL * DIS # D2: 8 => CTR => D2: 6,9 * DIS # D4: 6,9 => CTR => D4: 8 * PRF # D4: 8 => SOL * PRF # E2: 3,8 => SOL * DIS # E2: 5,6,9 => CTR => E2: 3,8 * INC # F1: 3,8 => UNS * DIS # F2: 3,8 => CTR => F2: 5,6,9 * INC # F2: 5,6,9 => UNS * DIS # F3: 3,8 => CTR => F3: 6,9 * INC # F3: 6,9 => UNS * CNT 71 HDP CHAINS / 71 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # I2: 3,9 => UNS * PRF # I3: 3,9 => SOL * STA I3: 3,9 * CNT 2 HDP CHAINS / 2 HYP OPENED