Analysis of zz-www.sudokuoftheday.co.uk-20190204-absurd-base.sdk
Contents
Sudoku from http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Feb&YEAR=2019
level: medium
position: 4...7.1.....92.5...72.......3..4.....1....9.89.63........7...1436.48............9 initial
Autosolve
position: 49..7.1...8.92.5...72....9..3..49....14..79389.63.8......79..14369481....4...2..9 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # F1: 6 => CTR => F1: 3,5 * PRF # F3: 5,6 => SOL * DIS # F3: 3,4 => CTR => F3: 5,6 * PRF # D3: 6,8 => SOL * DIS # D3: 1 => CTR => D3: 6,8 * DIS # H1: 2 => CTR => H1: 6,8 * DIS # I1: 3,6 => CTR => I1: 2 * PRF # I2: 3,6 => SOL * DIS # E3: 3,6 => CTR => E3: 1 * PRF # E3: 1 => SOL * DIS # F3: 3,6 => CTR => F3: 4,5 * DIS # D5: 6 => CTR => D5: 2,5 * PRF # A7: 2,5 => SOL * DIS # A7: 8 => CTR => A7: 2,5 * DIS # H6: 2,5 => CTR => H6: 4,7 * DIS # I6: 2,5 => CTR => I6: 1,7 * DIS # D5: 5,6 => CTR => D5: 2 * PRF # D5: 2 => SOL * DIS # E9: 5,6 => CTR => E9: 3 * PRF # D4: 1,5 => SOL * DIS # D4: 2 => CTR => D4: 1,5 * PRF # I6: 1,5 => SOL * DIS # I6: 2,7 => CTR => I6: 1,5 * PRF # H4: 2,6 => SOL * DIS # I4: 2,6 => CTR => I4: 1,5 * PRF # A7: 2,5 => SOL * DIS # A7: 8 => CTR => A7: 2,5 * DIS # A7: 5,8 => CTR => A7: 2 * PRF # A7: 2 => SOL * DIS # E9: 5 => CTR => E9: 3,6 * PRF # F1: 3,6 => SOL * DIS # F1: 5 => CTR => F1: 3,6 * DIS # F2: 3,6 => CTR => F2: 4 * PRF # F2: 4 => SOL * DIS # F3: 3,6 => CTR => F3: 4,5 * DIS # E9: 5,6 => CTR => E9: 3 * DIS # D5: 5,6 => CTR => D5: 2 * PRF # D5: 2 => SOL * DIS # G9: 3,6 => CTR => G9: 8 * PRF # G9: 8 => SOL * PRF # I8: 2,7 => SOL * PRF # G6: 2,7 => SOL * DIS # G6: 4 => CTR => G6: 2,7 * DIS # G9: 3 => CTR => G9: 6,8 * DIS # H1: 2 => CTR => H1: 6,8 * CNT 45 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 # F1: 6 => CTR => F1: 3,5 * PRF F1: 3,5 # F3: 5,6 => SOL * STA F1: 3,5 + F3: 5,6 * CNT 2 HDP CHAINS / 3 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 4...7.1.....92.5...72.......3..4.....1....9.89.63........7...1436.48............9 | initial |
| 49..7.1...8.92.5...72....9..3..49....14..79389.63.8......79..14369481....4...2..9 | autosolve |
| 495673182183924576672815493837149625514267938926358741258796314369481257741532869 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (22) C1: 3,5 A2: 1,6 C2: 1,3 A3: 5,6 D1: 6,8 I3: 3,6 A4: 7,8 C4: 7,8 A5: 2,5 B6: 2,5 E5: 5,6 E6: 1,5 G4: 2,6 B7: 2,5 C7: 5,8 A9: 1,7 C9: 1,7 F7: 3,6 D9: 5,6 G7: 3,6 G8: 2,7 H9: 6,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A2,C2: 1.. / A2 = 1 => 0 pairs (*) / C2 = 1 => 0 pairs (X) D3,E3: 1.. / D3 = 1 => 0 pairs (X) / E3 = 1 => 0 pairs (_) D4,E6: 1.. / D4 = 1 => 0 pairs (*) / E6 = 1 => 0 pairs (X) I4,I6: 1.. / I4 = 1 => 0 pairs (X) / I6 = 1 => 0 pairs (_) A9,C9: 1.. / A9 = 1 => 0 pairs (X) / C9 = 1 => 0 pairs (_) D4,I4: 1.. / D4 = 1 => 0 pairs (*) / I4 = 1 => 0 pairs (X) E6,I6: 1.. / E6 = 1 => 0 pairs (X) / I6 = 1 => 0 pairs (_) A2,A9: 1.. / A2 = 1 => 0 pairs (*) / A9 = 1 => 0 pairs (X) C2,C9: 1.. / C2 = 1 => 0 pairs (X) / C9 = 1 => 0 pairs (_) D3,D4: 1.. / D3 = 1 => 0 pairs (X) / D4 = 1 => 0 pairs (_) E3,E6: 1.. / E3 = 1 => 0 pairs (*) / E6 = 1 => 0 pairs (X) H1,I1: 2.. / H1 = 2 => 0 pairs (X) / I1 = 2 => 27 pairs (_) A5,B6: 2.. / A5 = 2 => 0 pairs (X) / B6 = 2 => 0 pairs (_) D4,D5: 2.. / D4 = 2 => 0 pairs (X) / D5 = 2 => 0 pairs (_) A7,B7: 2.. / A7 = 2 => 0 pairs (*) / B7 = 2 => 0 pairs (X) A5,D5: 2.. / A5 = 2 => 0 pairs (X) / D5 = 2 => 0 pairs (_) A5,A7: 2.. / A5 = 2 => 0 pairs (X) / A7 = 2 => 0 pairs (_) B6,B7: 2.. / B6 = 2 => 0 pairs (*) / B7 = 2 => 0 pairs (X) C1,C2: 3.. / C1 = 3 => 0 pairs (X) / C2 = 3 => 0 pairs (_) F7,E9: 3.. / F7 = 3 => 0 pairs (X) / E9 = 3 => 26 pairs (_) G7,G9: 3.. / G7 = 3 => 26 pairs (_) / G9 = 3 => 0 pairs (X) F7,G7: 3.. / F7 = 3 => 0 pairs (X) / G7 = 3 => 26 pairs (_) E9,G9: 3.. / E9 = 3 => 26 pairs (_) / G9 = 3 => 0 pairs (X) E3,E9: 3.. / E3 = 3 => 0 pairs (X) / E9 = 3 => 26 pairs (_) F2,F3: 4.. / F2 = 4 => 0 pairs (*) / F3 = 4 => 0 pairs (X) H2,G3: 4.. / H2 = 4 => 0 pairs (X) / G3 = 4 => 0 pairs (_) G6,H6: 4.. / G6 = 4 => 0 pairs (X) / H6 = 4 => 0 pairs (_) F2,H2: 4.. / F2 = 4 => 0 pairs (*) / H2 = 4 => 0 pairs (X) F3,G3: 4.. / F3 = 4 => 0 pairs (X) / G3 = 4 => 0 pairs (_) G3,G6: 4.. / G3 = 4 => 0 pairs (*) / G6 = 4 => 0 pairs (X) H2,H6: 4.. / H2 = 4 => 0 pairs (X) / H6 = 4 => 0 pairs (_) C1,A3: 5.. / C1 = 5 => 0 pairs (*) / A3 = 5 => 0 pairs (X) F1,F3: 5.. / F1 = 5 => 0 pairs (X) / F3 = 5 => 0 pairs (_) A5,B6: 5.. / A5 = 5 => 0 pairs (*) / B6 = 5 => 0 pairs (X) D9,E9: 5.. / D9 = 5 => 24 pairs (_) / E9 = 5 => 0 pairs (X) H8,I8: 5.. / H8 = 5 => 0 pairs (*) / I8 = 5 => 0 pairs (X) C1,F1: 5.. / C1 = 5 => 0 pairs (*) / F1 = 5 => 0 pairs (X) A3,F3: 5.. / A3 = 5 => 0 pairs (X) / F3 = 5 => 0 pairs (_) B6,B7: 5.. / B6 = 5 => 0 pairs (X) / B7 = 5 => 0 pairs (_) C1,C7: 5.. / C1 = 5 => 0 pairs (*) / C7 = 5 => 0 pairs (X) A2,A3: 6.. / A2 = 6 => 0 pairs (X) / A3 = 6 => 0 pairs (_) D5,E5: 6.. / D5 = 6 => 0 pairs (X) / E5 = 6 => 24 pairs (_) F7,G7: 6.. / F7 = 6 => 26 pairs (_) / G7 = 6 => 0 pairs (X) H2,I2: 7.. / H2 = 7 => 0 pairs (*) / I2 = 7 => 0 pairs (X) A4,C4: 7.. / A4 = 7 => 0 pairs (X) / C4 = 7 => 0 pairs (_) A9,C9: 7.. / A9 = 7 => 0 pairs (*) / C9 = 7 => 0 pairs (X) A4,A9: 7.. / A4 = 7 => 0 pairs (X) / A9 = 7 => 0 pairs (_) C4,C9: 7.. / C4 = 7 => 0 pairs (*) / C9 = 7 => 0 pairs (X) G6,G8: 7.. / G6 = 7 => 0 pairs (*) / G8 = 7 => 0 pairs (X) D1,D3: 8.. / D1 = 8 => 0 pairs (X) / D3 = 8 => 0 pairs (_) H1,G3: 8.. / H1 = 8 => 0 pairs (*) / G3 = 8 => 0 pairs (X) A4,C4: 8.. / A4 = 8 => 0 pairs (*) / C4 = 8 => 0 pairs (X) A7,C7: 8.. / A7 = 8 => 0 pairs (X) / C7 = 8 => 0 pairs (_) G9,H9: 8.. / G9 = 8 => 0 pairs (*) / H9 = 8 => 0 pairs (X) D1,H1: 8.. / D1 = 8 => 0 pairs (X) / H1 = 8 => 0 pairs (_) D3,G3: 8.. / D3 = 8 => 0 pairs (*) / G3 = 8 => 0 pairs (X) A4,A7: 8.. / A4 = 8 => 0 pairs (*) / A7 = 8 => 0 pairs (X) C4,C7: 8.. / C4 = 8 => 0 pairs (X) / C7 = 8 => 0 pairs (_) G3,G9: 8.. / G3 = 8 => 0 pairs (X) / G9 = 8 => 0 pairs (_) H1,H9: 8.. / H1 = 8 => 0 pairs (*) / H9 = 8 => 0 pairs (X) * DURATION: 0:01:26.871564 START: 03:28:02.818355 END: 03:29:29.689919 2019-05-01 * CP COUNT: (60) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A2,A3,A4,A5,A9,B6,B7,C1,C2,C4,C7,C9,D1,D9,E5,E6,F7,G4,G7,G8,H9,I3) * 49..7.1...8.92.5...72....9..3..49....14..79389.63.8......79..14369481....4...2..9 * PAIR C1: 3,5 ROW 1 F1: 3,5,6 # reduction candidate for 3,5 F1: 6 => CTR * 495.761.3.839245..672....9..3..49....14..79389.63.8......79..14369481....4...2..9 F1: 3,5 # 24 pairs * PAIR A3: 5,6 ROW 3 F3: 5,6,3,4 # reduction candidate for 5,6 F3: 5,6 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 F3: 3,4 => CTR * 493.751..68192.5..5721..89.73824965.214..7938956318...82579..14369481....4...2..9 * PAIR D1: 6,8 BLK 2 D3: 6,8,1 # reduction candidate for 6,8 D3: 6,8 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 D3: 1 => CTR * 49587.12..8392654767213489..3..49261.1426793892631847525879..14369481752.4.652389 * PAIR D1: 6,8 ROW 1 H1: 6,8,2 # reduction candidate for 6,8 H1: 2 => CTR * 49587.12..8392654767213489..3..4926..142679389263.847.25879..14369481752.4...2.89 H1: 6,8 # 27 pairs * PAIR I3: 3,6 BLK 3 I1: 3,6,2 # reduction candidate for 3,6 I1: 3,6 => CTR * 49587.12..8392654767213489..3..4926..142679389263.847.25879..14369481752.4...2.89 I1: 2 # 27 pairs I2: 3,6,7 # reduction candidate for 3,6 I2: 3,6 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 I2: 7 # 26 pairs * PAIR I3: 3,6 ROW 3 E3: 3,6,1 # reduction candidate for 3,6 E3: 3,6 => CTR * 49587.12..8392654767213489..3..49261.1426793892631847525879..14369481752.4.652389 E3: 1 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 F3: 3,6,4,5 # reduction candidate for 3,6 F3: 3,6 => CTR * 49..751...8.9245..572...49..3..49...214..7938956318.4.82579..14369481....4...2869 F3: 4,5 # 23 pairs * PAIR A5: 2,5 ROW 5 D5: 2,5,6 # reduction candidate for 2,5 D5: 6 => CTR * 49..7.1...8.92.5...72....9..3.249651214657938956318....2.796314369481..5.4.532869 D5: 2,5 # 24 pairs * PAIR A5: 2,5 COL A A7: 2,5,8 # reduction candidate for 2,5 A7: 2,5 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 A7: 8 => CTR * 493.751...8192.5..5721..89.73824965.214..7938956318...82579..14369481....4...2..9 * PAIR B6: 2,5 ROW 6 H6: 2,5,4,7 # reduction candidate for 2,5 H6: 2,5 => CTR * 49..7.1...8.92.547.72..4.9..3..49....14..79389.63.8......79..14369481....4...2..9 H6: 4,7 # 23 pairs I6: 2,5,1,7 # reduction candidate for 2,5 I6: 2,5 => CTR * 49587.12..8392654767213489..3..49261.1426793892631847525879..14369481752.4.652389 I6: 1,7 # 23 pairs * PAIR E5: 5,6 BLK 5 D5: 5,6,2 # reduction candidate for 5,6 D5: 5,6 => CTR * 49..7.1...8.92.5...72....9..3.249651214..7938956318....2.796314369481..5.4.532869 D5: 2 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 * PAIR E5: 5,6 COL E E9: 5,6,3 # reduction candidate for 5,6 E9: 5,6 => CTR * 49.87612368.92.5...72.3..96.3..49....14..79389.6318......793614369481....4...2389 E9: 3 # 26 pairs * PAIR E6: 1,5 BLK 5 D4: 1,5,2 # reduction candidate for 1,5 D4: 1,5 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 D4: 2 => CTR * 49..7.1...8.92.5...721..89..3.24965..14..79389.63.8......79..14369481....4...2..9 * PAIR E6: 1,5 ROW 6 I6: 1,5,2,7 # reduction candidate for 1,5 I6: 1,5 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 I6: 2,7 => CTR * 49.87.162.8.92.547.721..89..3..49..1.14..79389.63184.....79..14369481725.4...2.89 * PAIR G4: 2,6 BLK 6 H4: 2,6,5 # reduction candidate for 2,6 H4: 2,6 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 H4: 5 # 24 pairs I4: 2,6,1,5 # reduction candidate for 2,6 I4: 2,6 => CTR * 495.7.1...8392.5.7672815493837149.5.514267938926358741258796314369481275.4.532..9 I4: 1,5 # 26 pairs * PAIR B7: 2,5 BLK 7 A7: 2,5,8 # reduction candidate for 2,5 A7: 2,5 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 A7: 8 => CTR * 493.751...8192.5..5721..89.73824965.214..7938956318...82579..14369481....4...2..9 * PAIR C7: 5,8 BLK 7 A7: 5,8,2 # reduction candidate for 5,8 A7: 5,8 => CTR * 49..7.1...8.92.5...721..89..3.24965.214..7938956318....2.79..14369481....4...2..9 A7: 2 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 * PAIR F7: 3,6 BLK 8 E9: 3,6,5 # reduction candidate for 3,6 E9: 5 => CTR * 49.87612368.92.5...72.3..96.3..49....14.679389.6318......793614369481....4.652389 E9: 3,6 # 24 pairs * PAIR F7: 3,6 COL F F1: 3,6,5 # reduction candidate for 3,6 F1: 3,6 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 F1: 5 => CTR * 493.751..68192.5..5721..89.73824965.214..7938956318...82579..14369481....4...2..9 F2: 3,6,4 # reduction candidate for 3,6 F2: 3,6 => CTR * 49..751...8.92.547572..4.9..3..492..214..79389.63.847....79..143694817...4...2..9 F2: 4 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 F3: 3,6,4,5 # reduction candidate for 3,6 F3: 3,6 => CTR * 49..751...8.9245..572...49..3..49...214..7938956318.4.82579..14369481....4...2869 F3: 4,5 # 23 pairs * PAIR D9: 5,6 BLK 8 E9: 5,6,3 # reduction candidate for 5,6 E9: 5,6 => CTR * 49.87612368.92.5...72.3..96.3..49....14..79389.6318......793614369481....4...2389 E9: 3 # 26 pairs * PAIR D9: 5,6 COL D D5: 5,6,2 # reduction candidate for 5,6 D5: 5,6 => CTR * 49..7.1...8.92.5...72....9..3.249651214..7938956318....2.796314369481..5.4.532869 D5: 2 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 * PAIR G7: 3,6 BLK 9 G9: 3,6,8 # reduction candidate for 3,6 G9: 3,6 => CTR * 49587.1...8392654767213489..3..492...142679389263.847.25879..143694817...4...2.89 G9: 8 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 * PAIR G8: 2,7 BLK 9 H8: 2,7,5 # reduction candidate for 2,7 H8: 2,7 # 23 pairs I8: 2,7,5 # reduction candidate for 2,7 I8: 2,7 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 I8: 5 # 23 pairs * PAIR G8: 2,7 COL G G6: 2,7,4 # reduction candidate for 2,7 G6: 2,7 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 G6: 4 => CTR * 495.7.1...83926547672..4893837.492..5142679389263.847.258793.143694817...4...2..9 * PAIR H9: 6,8 BLK 9 G9: 6,8,3 # reduction candidate for 6,8 G9: 3 => CTR * 49.87.1...8.92.547.72.34896.3..4926..14267938926318475258793.143694817...4...2389 G9: 6,8 # 26 pairs * PAIR H9: 6,8 COL H H1: 6,8,2 # reduction candidate for 6,8 H1: 2 => CTR * 49587.12..8392654767213489..3..4926..142679389263.847.25879..14369481752.4...2.89 H1: 6,8 # 27 pairs * INCONCLUSIVE * SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20190204-absurd-base-pr-000.dot * REASONING * DIS # F1: 6 => CTR => F1: 3,5 * PRF # F3: 5,6 => SOL * DIS # F3: 3,4 => CTR => F3: 5,6 * PRF # D3: 6,8 => SOL * DIS # D3: 1 => CTR => D3: 6,8 * DIS # H1: 2 => CTR => H1: 6,8 * DIS # I1: 3,6 => CTR => I1: 2 * PRF # I2: 3,6 => SOL * DIS # E3: 3,6 => CTR => E3: 1 * PRF # E3: 1 => SOL * DIS # F3: 3,6 => CTR => F3: 4,5 * DIS # D5: 6 => CTR => D5: 2,5 * PRF # A7: 2,5 => SOL * DIS # A7: 8 => CTR => A7: 2,5 * DIS # H6: 2,5 => CTR => H6: 4,7 * DIS # I6: 2,5 => CTR => I6: 1,7 * DIS # D5: 5,6 => CTR => D5: 2 * PRF # D5: 2 => SOL * DIS # E9: 5,6 => CTR => E9: 3 * PRF # D4: 1,5 => SOL * DIS # D4: 2 => CTR => D4: 1,5 * PRF # I6: 1,5 => SOL * DIS # I6: 2,7 => CTR => I6: 1,5 * PRF # H4: 2,6 => SOL * DIS # I4: 2,6 => CTR => I4: 1,5 * PRF # A7: 2,5 => SOL * DIS # A7: 8 => CTR => A7: 2,5 * DIS # A7: 5,8 => CTR => A7: 2 * PRF # A7: 2 => SOL * DIS # E9: 5 => CTR => E9: 3,6 * PRF # F1: 3,6 => SOL * DIS # F1: 5 => CTR => F1: 3,6 * DIS # F2: 3,6 => CTR => F2: 4 * PRF # F2: 4 => SOL * DIS # F3: 3,6 => CTR => F3: 4,5 * DIS # E9: 5,6 => CTR => E9: 3 * DIS # D5: 5,6 => CTR => D5: 2 * PRF # D5: 2 => SOL * DIS # G9: 3,6 => CTR => G9: 8 * PRF # G9: 8 => SOL * PRF # I8: 2,7 => SOL * PRF # G6: 2,7 => SOL * DIS # G6: 4 => CTR => G6: 2,7 * DIS # G9: 3 => CTR => G9: 6,8 * DIS # H1: 2 => CTR => H1: 6,8 * CNT 45 HDP CHAINS / 63 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A2,A3,A4,A5,A9,B6,B7,C1,C2,C4,C7,C9,D1,D9,E5,E6,F7,G4,G7,G8,H9,I3) * 49..7.1...8.92.5...72....9..3..49....14..79389.63.8......79..14369481....4...2..9 * PAIR C1: 3,5 ROW 1 F1: 3,5,6 # reduction candidate for 3,5 F1: 6 => CTR * 495.761.3.839245..672....9..3..49....14..79389.63.8......79..14369481....4...2..9 * PAIR RESTART * PAIR A3: 5,6 ROW 3 F3: 5,6,3,4 # reduction candidate for 5,6 F3: 5,6 => SOLVED * 495673182183924576672815493837149625514267938926358741258796314369481257741532869 * DURATION: 0:00:03.452764 START: 03:30:24.585128 END: 03:30:28.037892 2019-05-01 * SOLUTION FOUND * SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20190204-absurd-base-pr-001.dot * REASONING * DIS # F1: 6 => CTR => F1: 3,5 * PRF F1: 3,5 # F3: 5,6 => SOL * STA F1: 3,5 + F3: 5,6 * CNT 2 HDP CHAINS / 3 HYP OPENED
Header Info
http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Feb&YEAR=2019, 20190204, absurd
Solution
position: 495673182183924576672815493837149625514267938926358741258796314369481257741532869 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 # F1: 3,5 => UNS * DIS # F1: 6 => CTR => F1: 3,5 * PRF # F3: 5,6 => SOL * DIS # F3: 3,4 => CTR => F3: 5,6 * PRF # D3: 6,8 => SOL * DIS # D3: 1 => CTR => D3: 6,8 * INC # H1: 6,8 => UNS * DIS # H1: 2 => CTR => H1: 6,8 * DIS # I1: 3,6 => CTR => I1: 2 * INC # I1: 2 => UNS * PRF # I2: 3,6 => SOL * INC # I2: 7 => UNS * DIS # E3: 3,6 => CTR => E3: 1 * PRF # E3: 1 => SOL * DIS # F3: 3,6 => CTR => F3: 4,5 * INC # F3: 4,5 => UNS * INC # D5: 2,5 => UNS * DIS # D5: 6 => CTR => D5: 2,5 * PRF # A7: 2,5 => SOL * DIS # A7: 8 => CTR => A7: 2,5 * DIS # H6: 2,5 => CTR => H6: 4,7 * INC # H6: 4,7 => UNS * DIS # I6: 2,5 => CTR => I6: 1,7 * INC # I6: 1,7 => UNS * DIS # D5: 5,6 => CTR => D5: 2 * PRF # D5: 2 => SOL * DIS # E9: 5,6 => CTR => E9: 3 * INC # E9: 3 => UNS * PRF # D4: 1,5 => SOL * DIS # D4: 2 => CTR => D4: 1,5 * PRF # I6: 1,5 => SOL * DIS # I6: 2,7 => CTR => I6: 1,5 * PRF # H4: 2,6 => SOL * INC # H4: 5 => UNS * DIS # I4: 2,6 => CTR => I4: 1,5 * INC # I4: 1,5 => UNS * PRF # A7: 2,5 => SOL * DIS # A7: 8 => CTR => A7: 2,5 * DIS # A7: 5,8 => CTR => A7: 2 * PRF # A7: 2 => SOL * INC # E9: 3,6 => UNS * DIS # E9: 5 => CTR => E9: 3,6 * PRF # F1: 3,6 => SOL * DIS # F1: 5 => CTR => F1: 3,6 * DIS # F2: 3,6 => CTR => F2: 4 * PRF # F2: 4 => SOL * DIS # F3: 3,6 => CTR => F3: 4,5 * INC # F3: 4,5 => UNS * DIS # E9: 5,6 => CTR => E9: 3 * INC # E9: 3 => UNS * DIS # D5: 5,6 => CTR => D5: 2 * PRF # D5: 2 => SOL * DIS # G9: 3,6 => CTR => G9: 8 * PRF # G9: 8 => SOL * INC # H8: 2,7 => UNS * PRF # I8: 2,7 => SOL * INC # I8: 5 => UNS * PRF # G6: 2,7 => SOL * DIS # G6: 4 => CTR => G6: 2,7 * INC # G9: 6,8 => UNS * DIS # G9: 3 => CTR => G9: 6,8 * INC # H1: 6,8 => UNS * DIS # H1: 2 => CTR => H1: 6,8 * CNT 63 HDP CHAINS / 63 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F1: 3,5 => UNS * DIS # F1: 6 => CTR => F1: 3,5 * PRF F1: 3,5 # F3: 5,6 => SOL * STA F1: 3,5 + F3: 5,6 * CNT 3 HDP CHAINS / 3 HYP OPENED