Analysis of zz-www.sudokuoftheday.co.uk-20190419-absurd-base.sdk
Contents
Sudoku from http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Apr&YEAR=2019
level: medium
position: ..28...3...3.16..8..1..5.6..7.5........73...6....687....61..5.7.....4.1.9.8...... initial
Autosolve
position: .628.9135..3.16.78..13.5.6.67.5........73...6....687....61.35.7..7..4.1.918.57... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # A3: 4,7 => SOL * DIS # A3: 8 => CTR => A3: 4,7 * DIS # B2: 4,5 => CTR => B2: 9 * DIS # E3: 4,7 => CTR => E3: 2 * PRF # E3: 2 => SOL * PRF # E3: 2,4 => SOL * DIS # E3: 7 => CTR => E3: 2,4 * DIS # G2: 9 => CTR => G2: 2,4 * DIS # G2: 4,9 => CTR => G2: 2 * PRF # G2: 2 => SOL * PRF # G3: 4,9 => SOL * DIS # G3: 2 => CTR => G3: 4,9 * DIS # B3: 4,9 => CTR => B3: 8 * PRF # B3: 8 => SOL * PRF # I6: 4,9 => SOL * PRF # A5: 2,8 => SOL * DIS # A5: 1 => CTR => A5: 2,8 * DIS # A6: 2,3 => CTR => A6: 1 * PRF # A6: 1 => SOL * PRF # I4: 1,2 => SOL * DIS # I4: 3 => CTR => I4: 1,2 * DIS # A5: 1,2 => CTR => A5: 8 * PRF # A5: 8 => SOL * PRF # I6: 4,9 => SOL * PRF # I6: 4,9 => SOL * DIS # G2: 4,9 => CTR => G2: 2 * PRF # G2: 2 => SOL * PRF # G3: 4,9 => SOL * DIS # G3: 2 => CTR => G3: 4,9 * PRF # E8: 8,9 => SOL * DIS # E8: 2 => CTR => E8: 8,9 * PRF # D8: 2,6 => SOL * DIS # D8: 9 => CTR => D8: 2,6 * DIS # D8: 2,9 => CTR => D8: 6 * PRF # D8: 6 => SOL * PRF # E8: 2,9 => SOL * DIS # E8: 8 => CTR => E8: 2,9 * DIS # I6: 2,9 => CTR => I6: 1,4 * DIS # I9: 2,4 => CTR => I9: 3 * PRF # I9: 3 => SOL * PRF # H6: 2,4 => SOL * CNT 41 HDP CHAINS / 56 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # A3: 4,7 => SOL * STA A3: 4,7 * CNT 1 HDP CHAINS / 1 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ..28...3...3.16..8..1..5.6..7.5........73...6....687....61..5.7.....4.1.9.8...... | initial |
| .628.9135..3.16.78..13.5.6.67.5........73...6....687....61.35.7..7..4.1.918.57... | autosolve |
| 462879135593416278781325469679542381824731956135968724246183597357694812918257643 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (26) A1: 4,7 A2: 4,5 E1: 4,7 D2: 2,4 I3: 4,9 C4: 4,9 B5: 2,8 B6: 2,3 E4: 4,9 F4: 1,2 F5: 1,2 D6: 4,9 G4: 3,8 H4: 2,8 G5: 4,9 A7: 2,4 B7: 2,4 A8: 3,5 B8: 3,5 E7: 8,9 D9: 2,6 H7: 8,9 G8: 6,8 I8: 2,9 G9: 3,6 H9: 2,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A5,A6: 1.. / A5 = 1 => 0 pairs (X) / A6 = 1 => 0 pairs (_) F4,F5: 1.. / F4 = 1 => 0 pairs (X) / F5 = 1 => 0 pairs (_) I4,I6: 1.. / I4 = 1 => 0 pairs (*) / I6 = 1 => 0 pairs (X) F4,I4: 1.. / F4 = 1 => 0 pairs (X) / I4 = 1 => 0 pairs (_) A5,F5: 1.. / A5 = 1 => 0 pairs (X) / F5 = 1 => 0 pairs (_) A6,I6: 1.. / A6 = 1 => 0 pairs (*) / I6 = 1 => 0 pairs (X) D2,E3: 2.. / D2 = 2 => 0 pairs (X) / E3 = 2 => 0 pairs (_) G2,G3: 2.. / G2 = 2 => 0 pairs (*) / G3 = 2 => 0 pairs (X) F4,F5: 2.. / F4 = 2 => 0 pairs (*) / F5 = 2 => 0 pairs (X) A7,B7: 2.. / A7 = 2 => 28 pairs (_) / B7 = 2 => 0 pairs (X) D2,G2: 2.. / D2 = 2 => 0 pairs (X) / G2 = 2 => 0 pairs (_) E3,G3: 2.. / E3 = 2 => 0 pairs (*) / G3 = 2 => 0 pairs (X) E3,E8: 2.. / E3 = 2 => 0 pairs (*) / E8 = 2 => 0 pairs (X) A6,B6: 3.. / A6 = 3 => 0 pairs (X) / B6 = 3 => 24 pairs (_) G4,I4: 3.. / G4 = 3 => 0 pairs (*) / I4 = 3 => 0 pairs (X) A8,B8: 3.. / A8 = 3 => 24 pairs (_) / B8 = 3 => 0 pairs (X) G9,I9: 3.. / G9 = 3 => 0 pairs (X) / I9 = 3 => 0 pairs (_) A6,A8: 3.. / A6 = 3 => 0 pairs (X) / A8 = 3 => 24 pairs (_) B6,B8: 3.. / B6 = 3 => 24 pairs (_) / B8 = 3 => 0 pairs (X) G4,G9: 3.. / G4 = 3 => 0 pairs (*) / G9 = 3 => 0 pairs (X) I4,I9: 3.. / I4 = 3 => 0 pairs (X) / I9 = 3 => 0 pairs (_) E4,D6: 4.. / E4 = 4 => 0 pairs (*) / D6 = 4 => 0 pairs (X) A7,B7: 4.. / A7 = 4 => 0 pairs (X) / B7 = 4 => 28 pairs (_) H9,I9: 4.. / H9 = 4 => 28 pairs (_) / I9 = 4 => 0 pairs (X) A1,E1: 4.. / A1 = 4 => 0 pairs (*) / E1 = 4 => 0 pairs (X) C4,E4: 4.. / C4 = 4 => 0 pairs (X) / E4 = 4 => 0 pairs (_) D2,D6: 4.. / D2 = 4 => 0 pairs (*) / D6 = 4 => 0 pairs (X) A2,B2: 5.. / A2 = 5 => 24 pairs (_) / B2 = 5 => 0 pairs (X) C5,C6: 5.. / C5 = 5 => 29 pairs (_) / C6 = 5 => 27 pairs (_) H5,H6: 5.. / H5 = 5 => 27 pairs (_) / H6 = 5 => 29 pairs (_) A8,B8: 5.. / A8 = 5 => 0 pairs (X) / B8 = 5 => 24 pairs (_) C5,H5: 5.. / C5 = 5 => 29 pairs (_) / H5 = 5 => 27 pairs (_) C6,H6: 5.. / C6 = 5 => 27 pairs (_) / H6 = 5 => 29 pairs (_) A2,A8: 5.. / A2 = 5 => 24 pairs (_) / A8 = 5 => 0 pairs (X) B2,B8: 5.. / B2 = 5 => 0 pairs (X) / B8 = 5 => 24 pairs (_) D8,D9: 6.. / D8 = 6 => 0 pairs (*) / D9 = 6 => 0 pairs (X) G8,G9: 6.. / G8 = 6 => 0 pairs (X) / G9 = 6 => 0 pairs (_) D8,G8: 6.. / D8 = 6 => 0 pairs (*) / G8 = 6 => 0 pairs (X) D9,G9: 6.. / D9 = 6 => 0 pairs (X) / G9 = 6 => 0 pairs (_) A1,A3: 7.. / A1 = 7 => 0 pairs (X) / A3 = 7 => 0 pairs (_) E1,E3: 7.. / E1 = 7 => 0 pairs (*) / E3 = 7 => 0 pairs (X) A1,E1: 7.. / A1 = 7 => 0 pairs (X) / E1 = 7 => 0 pairs (_) A3,E3: 7.. / A3 = 7 => 0 pairs (*) / E3 = 7 => 0 pairs (X) A3,B3: 8.. / A3 = 8 => 0 pairs (X) / B3 = 8 => 0 pairs (_) A5,B5: 8.. / A5 = 8 => 0 pairs (*) / B5 = 8 => 0 pairs (X) G4,H4: 8.. / G4 = 8 => 0 pairs (X) / H4 = 8 => 0 pairs (_) E7,E8: 8.. / E7 = 8 => 0 pairs (*) / E8 = 8 => 0 pairs (X) H7,G8: 8.. / H7 = 8 => 0 pairs (X) / G8 = 8 => 0 pairs (_) E7,H7: 8.. / E7 = 8 => 0 pairs (*) / H7 = 8 => 0 pairs (X) E8,G8: 8.. / E8 = 8 => 0 pairs (X) / G8 = 8 => 0 pairs (_) A3,A5: 8.. / A3 = 8 => 0 pairs (X) / A5 = 8 => 0 pairs (_) B3,B5: 8.. / B3 = 8 => 0 pairs (*) / B5 = 8 => 0 pairs (X) G4,G8: 8.. / G4 = 8 => 0 pairs (X) / G8 = 8 => 0 pairs (_) H4,H7: 8.. / H4 = 8 => 0 pairs (*) / H7 = 8 => 0 pairs (X) B2,B3: 9.. / B2 = 9 => 25 pairs (_) / B3 = 9 => 0 pairs (X) E4,D6: 9.. / E4 = 9 => 0 pairs (X) / D6 = 9 => 0 pairs (_) H7,I8: 9.. / H7 = 9 => 0 pairs (*) / I8 = 9 => 0 pairs (X) B2,G2: 9.. / B2 = 9 => 25 pairs (_) / G2 = 9 => 0 pairs (X) C4,E4: 9.. / C4 = 9 => 0 pairs (*) / E4 = 9 => 0 pairs (X) E7,H7: 9.. / E7 = 9 => 0 pairs (X) / H7 = 9 => 0 pairs (_) D6,D8: 9.. / D6 = 9 => 0 pairs (*) / D8 = 9 => 0 pairs (X) * DURATION: 0:01:28.679024 START: 05:25:43.131819 END: 05:27:11.810843 2019-05-01 * CP COUNT: (61) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A1,A2,A7,A8,B5,B6,B7,B8,C4,D2,D6,D9,E1,E4,E7,F4,F5,G4,G5,G8,G9,H4,H7,H9,I3,I8) * .628.9135..3.16.78..13.5.6.67.5........73...6....687....61.35.7..7..4.1.918.57... * PAIR A1: 4,7 BLK 1 A3: 4,7,8 # reduction candidate for 4,7 A3: 4,7 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 A3: 8 => CTR * 762849135..3216.788.137526.67459.....8.73...6...4687....6183597..7924.1.918.57... * PAIR A2: 4,5 BLK 1 B2: 4,5,9 # reduction candidate for 4,5 B2: 4,5 => CTR * .628.9135..3.16978.913.526467.5......8.73.4.6....687....61.35.7..7.24819918.57... B2: 9 # 25 pairs * PAIR E1: 4,7 BLK 2 E3: 4,7,2 # reduction candidate for 4,7 E3: 4,7 => CTR * .628.9135..3216.78..13.526.67.5........73...6...4687....61.35.7..7924.1.918.57... E3: 2 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 * PAIR D2: 2,4 BLK 2 E3: 2,4,7 # reduction candidate for 2,4 E3: 2,4 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 E3: 7 => CTR * .628.9135..3216.78..137526.67.5........73...6...4687....61.35.7..7924.1.918.57... * PAIR D2: 2,4 ROW 2 G2: 2,4,9 # reduction candidate for 2,4 G2: 9 => CTR * .628.9135..3216978.913.526467.5......8.73.4.6...4687....61.35.7..7924.1.918.57... G2: 2,4 # 25 pairs * PAIR I3: 4,9 BLK 3 G2: 4,9,2 # reduction candidate for 4,9 G2: 4,9 => CTR * .628.9135..3216.78..13.526.67.5........73...6...4687....61.35.7..7924.1.918.57... G2: 2 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 G3: 4,9,2 # reduction candidate for 4,9 G3: 4,9 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 G3: 2 => CTR * .628.9135..3.16.78..13.526.67.5........73...6....687....61.35.7..7.24819918.57... * PAIR I3: 4,9 ROW 3 B3: 4,9,8 # reduction candidate for 4,9 B3: 4,9 => CTR * .628.9135..3.16.788.137526.67.5......8.73...6....687....61.35.7..7.24819918.57... B3: 8 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 * PAIR I3: 4,9 COL I I6: 4,9,1,2 # reduction candidate for 4,9 I6: 4,9 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 I6: 1,2 # 27 pairs * PAIR C4: 4,9 BLK 4 C5: 4,9,5 # reduction candidate for 4,9 C5: 4,9 # 27 pairs C6: 4,9,5 # reduction candidate for 4,9 C6: 4,9 # 29 pairs * PAIR B5: 2,8 BLK 4 A5: 2,8,1 # reduction candidate for 2,8 A5: 2,8 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 A5: 1 => CTR * .628.9135..3.16.788.137526.67.5.....18.732..6....687.1..61.35.7..7.24819918.57... * PAIR B6: 2,3 BLK 4 A6: 2,3,1 # reduction candidate for 2,3 A6: 2,3 => CTR * .628.9135..3.16.788.137526.67.5.1...18.732..6....687.1..61.35.7..7.24819918.57... A6: 1 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 * PAIR F4: 1,2 ROW 4 I4: 1,2,3 # reduction candidate for 1,2 I4: 1,2 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 I4: 3 => CTR * .628.9135..3.16.788.13.5.6.67.5.1.2318.732..6....687.1..61.3587..7.84619918657342 * PAIR F5: 1,2 ROW 5 A5: 1,2,8 # reduction candidate for 1,2 A5: 1,2 => CTR * .628.9135..3.16.788.137526.67.5......8.73...6....687....61.35.7..7.24819918.57... A5: 8 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 * PAIR D6: 4,9 ROW 6 C6: 4,9,5 # reduction candidate for 4,9 C6: 4,9 # 29 pairs H6: 4,9,2,5 # reduction candidate for 4,9 H6: 4,9 # 29 pairs I6: 4,9,1,2 # reduction candidate for 4,9 I6: 4,9 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 I6: 1,2 # 27 pairs * PAIR G5: 4,9 BLK 6 H5: 4,9,5 # reduction candidate for 4,9 H5: 4,9 # 29 pairs H6: 4,9,2,5 # reduction candidate for 4,9 H6: 4,9 # 29 pairs I6: 4,9,1,2 # reduction candidate for 4,9 I6: 4,9 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 I6: 1,2 # 27 pairs * PAIR G5: 4,9 ROW 5 C5: 4,9,5 # reduction candidate for 4,9 C5: 5 # 29 pairs C5: 4,9 # 27 pairs * PAIR G5: 4,9 COL G G2: 4,9,2 # reduction candidate for 4,9 G2: 4,9 => CTR * .628.9135..3216.78..13.526.67.5........73...6...4687....61.35.7..7924.1.918.57... G2: 2 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 G3: 4,9,2 # reduction candidate for 4,9 G3: 4,9 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 G3: 2 => CTR * .628.9135..3.16.78..13.526.67.5........73...6....687....61.35.7..7.24819918.57... * PAIR E7: 8,9 BLK 8 E8: 8,9,2 # reduction candidate for 8,9 E8: 8,9 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 E8: 2 => CTR * .628.9135..3.16.78..13.5.6.67.5........73...6....687....6183597..7924.1.918.57... * PAIR D9: 2,6 BLK 8 D8: 2,6,9 # reduction candidate for 2,6 D8: 2,6 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 D8: 9 => CTR * .628.9135..3.16.78..13.5.6.67.5........73...6....687....61.35.7..79.4612918.57... * PAIR I8: 2,9 ROW 8 D8: 2,9,6 # reduction candidate for 2,9 D8: 2,9 => CTR * .628.9135..3.16.78..1325.6467.5.182318.7324.6...968751..6193587..7284619918657342 D8: 6 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 E8: 2,9,8 # reduction candidate for 2,9 E8: 2,9 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 E8: 8 => CTR * .62879135..3416278781325.6.67.54.82382.73...6....687....61.35.7..7.8461.9186573.. * PAIR I8: 2,9 COL I I6: 2,9,1,4 # reduction candidate for 2,9 I6: 2,9 => CTR * .628.91355.3416278..132596467.542381..97314.613..687....6183597357..4812918257643 I6: 1,4 # 27 pairs * PAIR H9: 2,4 BLK 9 I9: 2,4,3 # reduction candidate for 2,4 I9: 2,4 => CTR * .628.9135..3.16.788.13.5.6.67.5.182318.732..6....687.1..61.3587..7.84619918657342 I9: 3 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 * PAIR H9: 2,4 COL H H6: 2,4,5,9 # reduction candidate for 2,4 H6: 2,4 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 H6: 5,9 # 29 pairs * INCONCLUSIVE * SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20190419-absurd-base-pr-000.dot * REASONING * PRF # A3: 4,7 => SOL * DIS # A3: 8 => CTR => A3: 4,7 * DIS # B2: 4,5 => CTR => B2: 9 * DIS # E3: 4,7 => CTR => E3: 2 * PRF # E3: 2 => SOL * PRF # E3: 2,4 => SOL * DIS # E3: 7 => CTR => E3: 2,4 * DIS # G2: 9 => CTR => G2: 2,4 * DIS # G2: 4,9 => CTR => G2: 2 * PRF # G2: 2 => SOL * PRF # G3: 4,9 => SOL * DIS # G3: 2 => CTR => G3: 4,9 * DIS # B3: 4,9 => CTR => B3: 8 * PRF # B3: 8 => SOL * PRF # I6: 4,9 => SOL * PRF # A5: 2,8 => SOL * DIS # A5: 1 => CTR => A5: 2,8 * DIS # A6: 2,3 => CTR => A6: 1 * PRF # A6: 1 => SOL * PRF # I4: 1,2 => SOL * DIS # I4: 3 => CTR => I4: 1,2 * DIS # A5: 1,2 => CTR => A5: 8 * PRF # A5: 8 => SOL * PRF # I6: 4,9 => SOL * PRF # I6: 4,9 => SOL * DIS # G2: 4,9 => CTR => G2: 2 * PRF # G2: 2 => SOL * PRF # G3: 4,9 => SOL * DIS # G3: 2 => CTR => G3: 4,9 * PRF # E8: 8,9 => SOL * DIS # E8: 2 => CTR => E8: 8,9 * PRF # D8: 2,6 => SOL * DIS # D8: 9 => CTR => D8: 2,6 * DIS # D8: 2,9 => CTR => D8: 6 * PRF # D8: 6 => SOL * PRF # E8: 2,9 => SOL * DIS # E8: 8 => CTR => E8: 2,9 * DIS # I6: 2,9 => CTR => I6: 1,4 * DIS # I9: 2,4 => CTR => I9: 3 * PRF # I9: 3 => SOL * PRF # H6: 2,4 => SOL * CNT 41 HDP CHAINS / 56 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A1,A2,A7,A8,B5,B6,B7,B8,C4,D2,D6,D9,E1,E4,E7,F4,F5,G4,G5,G8,G9,H4,H7,H9,I3,I8) * .628.9135..3.16.78..13.5.6.67.5........73...6....687....61.35.7..7..4.1.918.57... * PAIR A1: 4,7 BLK 1 A3: 4,7,8 # reduction candidate for 4,7 A3: 4,7 => SOLVED * 462879135593416278781325469679542381824731956135968724246183597357694812918257643 * DURATION: 0:00:01.832783 START: 05:28:01.942940 END: 05:28:03.775723 2019-05-01 * SOLUTION FOUND * SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20190419-absurd-base-pr-001.dot * REASONING * PRF # A3: 4,7 => SOL * STA A3: 4,7 * CNT 1 HDP CHAINS / 1 HYP OPENED
Header Info
http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Apr&YEAR=2019, 20190419, absurd
Solution
position: 462879135593416278781325469679542381824731956135968724246183597357694812918257643 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:
* PRF # A3: 4,7 => SOL * DIS # A3: 8 => CTR => A3: 4,7 * DIS # B2: 4,5 => CTR => B2: 9 * INC # B2: 9 => UNS * DIS # E3: 4,7 => CTR => E3: 2 * PRF # E3: 2 => SOL * PRF # E3: 2,4 => SOL * DIS # E3: 7 => CTR => E3: 2,4 * INC # G2: 2,4 => UNS * DIS # G2: 9 => CTR => G2: 2,4 * DIS # G2: 4,9 => CTR => G2: 2 * PRF # G2: 2 => SOL * PRF # G3: 4,9 => SOL * DIS # G3: 2 => CTR => G3: 4,9 * DIS # B3: 4,9 => CTR => B3: 8 * PRF # B3: 8 => SOL * PRF # I6: 4,9 => SOL * INC # I6: 1,2 => UNS * INC # C5: 4,9 => UNS * INC # C6: 4,9 => UNS * PRF # A5: 2,8 => SOL * DIS # A5: 1 => CTR => A5: 2,8 * DIS # A6: 2,3 => CTR => A6: 1 * PRF # A6: 1 => SOL * PRF # I4: 1,2 => SOL * DIS # I4: 3 => CTR => I4: 1,2 * DIS # A5: 1,2 => CTR => A5: 8 * PRF # A5: 8 => SOL * INC # C6: 4,9 => UNS * INC # H6: 4,9 => UNS * PRF # I6: 4,9 => SOL * INC # I6: 1,2 => UNS * INC # H5: 4,9 => UNS * INC # H6: 4,9 => UNS * PRF # I6: 4,9 => SOL * INC # I6: 1,2 => UNS * INC # C5: 4,9 => UNS * INC # C5: 5 => UNS * DIS # G2: 4,9 => CTR => G2: 2 * PRF # G2: 2 => SOL * PRF # G3: 4,9 => SOL * DIS # G3: 2 => CTR => G3: 4,9 * PRF # E8: 8,9 => SOL * DIS # E8: 2 => CTR => E8: 8,9 * PRF # D8: 2,6 => SOL * DIS # D8: 9 => CTR => D8: 2,6 * DIS # D8: 2,9 => CTR => D8: 6 * PRF # D8: 6 => SOL * PRF # E8: 2,9 => SOL * DIS # E8: 8 => CTR => E8: 2,9 * DIS # I6: 2,9 => CTR => I6: 1,4 * INC # I6: 1,4 => UNS * DIS # I9: 2,4 => CTR => I9: 3 * PRF # I9: 3 => SOL * PRF # H6: 2,4 => SOL * INC # H6: 5,9 => UNS * CNT 56 HDP CHAINS / 56 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* PRF # A3: 4,7 => SOL * STA A3: 4,7 * CNT 1 HDP CHAINS / 1 HYP OPENED