Analysis of zz-www.sudokuoftheday.co.uk-20060829-absurd-base.sdk
Contents
Sudoku from http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Aug&YEAR=2006
level: medium
position: ....6.......5.3.42......38..2..86..56...2..3..5....2...7..9....4..61...3..1..2674 initial
Autosolve
position: ....68....6.573.42...24.386.2..86..56...25.3..5..3.26..76394...48.617..3..1852674 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # C1: 4 => CTR => C1: 2,3 * DIS # C1: 2 => CTR => C1: 3,4 * DIS # A2: 8,9 => CTR => A2: 1 * PRF # A2: 1 => SOL * DIS # A2: 8 => CTR => A2: 1,9 * DIS # B5: 4 => CTR => B5: 1,9 * DIS # H1: 1,9 => CTR => H1: 5 * DIS # H1: 1,9 => CTR => H1: 5 * DIS # A2: 8 => CTR => A2: 1,9 * DIS # G4: 1,9 => CTR => G4: 4,7 * DIS # G5: 1,9 => CTR => G5: 4,7,8 * DIS # A6: 1,9 => CTR => A6: 7,8 * DIS # G4: 1,9 => CTR => G4: 4,7 * DIS # G5: 1,9 => CTR => G5: 4,7,8 * DIS # H1: 1,9 => CTR => H1: 5 * DIS # H7: 1 => CTR => H7: 2,5 * DIS # H8: 2,5 => CTR => H8: 9 * DIS # G7: 5 => CTR => G7: 1,8 * DIS # H8: 2 => CTR => H8: 5,9 * DIS # G1: 5,9 => CTR => G1: 1,7 * CNT 20 HDP CHAINS / 59 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # C1: 4 => CTR => C1: 2,3 * DIS C1: 2,3 # H1: 1,9 => CTR => H1: 5 * DIS C1: 2,3 + H1: 5 # G4: 1,9 => CTR => G4: 4,7 * DIS C1: 2,3 + H1: 5 + G4: 4,7 # G5: 1,9 => CTR => G5: 4,7,8 * DIS C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 # G7: 5 => CTR => G7: 1,8 * DIS C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 + G7: 1,8 # C5: 8,9 => CTR => C5: 4,7 * DIS C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 + G7: 1,8 + C5: 4,7 # C6: 8,9 => CTR => C6: 4,7 * PRF C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 + G7: 1,8 + C5: 4,7 + C6: 4,7 => SOL * STA C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 + G7: 1,8 + C5: 4,7 + C6: 4,7 * CNT 8 HDP CHAINS / 34 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ....6.......5.3.42......38..2..86..56...2..3..5....2...7..9....4..61...3..1..2674 | initial |
| ....68....6.573.42...24.386.2..86..56...25.3..5..3.26..76394...48.617..3..1852674 | autosolve |
| 243968751168573942795241386329786415617425839854139267576394128482617593931852674 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (17) A1: 2,3 B1: 3,4 C2: 8,9 A3: 5,7 B3: 1,9 C3: 5,7 D1: 1,9 F3: 1,9 G2: 1,9 F6: 1,9 H4: 1,9 A7: 2,5 C8: 2,5 A9: 3,9 B9: 3,9 I7: 1,8 G8: 5,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A2,B3: 1.. / A2 = 1 => 0 pairs (*) / B3 = 1 => 0 pairs (X) D1,F3: 1.. / D1 = 1 => 0 pairs (X) / F3 = 1 => 0 pairs (_) A2,G2: 1.. / A2 = 1 => 0 pairs (*) / G2 = 1 => 0 pairs (X) B3,F3: 1.. / B3 = 1 => 0 pairs (X) / F3 = 1 => 0 pairs (_) B3,B5: 1.. / B3 = 1 => 0 pairs (X) / B5 = 1 => 0 pairs (_) F3,F6: 1.. / F3 = 1 => 0 pairs (*) / F6 = 1 => 0 pairs (X) A1,C1: 2.. / A1 = 2 => 15 pairs (_) / C1 = 2 => 0 pairs (X) A7,C8: 2.. / A7 = 2 => 0 pairs (X) / C8 = 2 => 15 pairs (_) H7,H8: 2.. / H7 = 2 => 15 pairs (_) / H8 = 2 => 0 pairs (X) A7,H7: 2.. / A7 = 2 => 0 pairs (X) / H7 = 2 => 15 pairs (_) C8,H8: 2.. / C8 = 2 => 15 pairs (_) / H8 = 2 => 0 pairs (X) A1,A7: 2.. / A1 = 2 => 15 pairs (_) / A7 = 2 => 0 pairs (X) C1,C8: 2.. / C1 = 2 => 0 pairs (X) / C8 = 2 => 15 pairs (_) A4,C4: 3.. / A4 = 3 => 14 pairs (_) / C4 = 3 => 18 pairs (_) A9,B9: 3.. / A9 = 3 => 0 pairs (X) / B9 = 3 => 17 pairs (_) B1,B9: 3.. / B1 = 3 => 0 pairs (X) / B9 = 3 => 17 pairs (_) C1,C4: 3.. / C1 = 3 => 14 pairs (_) / C4 = 3 => 18 pairs (_) B1,C1: 4.. / B1 = 4 => 17 pairs (_) / C1 = 4 => 0 pairs (X) G4,G5: 4.. / G4 = 4 => 17 pairs (_) / G5 = 4 => 20 pairs (_) C6,D6: 4.. / C6 = 4 => 17 pairs (_) / D6 = 4 => 17 pairs (_) B1,B5: 4.. / B1 = 4 => 17 pairs (_) / B5 = 4 => 0 pairs (X) A3,C3: 5.. / A3 = 5 => 0 pairs (X) / C3 = 5 => 15 pairs (_) G1,H1: 5.. / G1 = 5 => 0 pairs (X) / H1 = 5 => 19 pairs (_) A7,C8: 5.. / A7 = 5 => 15 pairs (_) / C8 = 5 => 0 pairs (X) A3,A7: 5.. / A3 = 5 => 0 pairs (X) / A7 = 5 => 15 pairs (_) C3,C8: 5.. / C3 = 5 => 15 pairs (_) / C8 = 5 => 0 pairs (X) A3,C3: 7.. / A3 = 7 => 15 pairs (_) / C3 = 7 => 0 pairs (X) G1,I1: 7.. / G1 = 7 => 20 pairs (_) / I1 = 7 => 25 pairs (_) A2,C2: 8.. / A2 = 8 => 0 pairs (X) / C2 = 8 => 18 pairs (_) G7,I7: 8.. / G7 = 8 => 18 pairs (_) / I7 = 8 => 20 pairs (_) A2,A6: 8.. / A2 = 8 => 0 pairs (X) / A6 = 8 => 18 pairs (_) G5,G7: 8.. / G5 = 8 => 20 pairs (_) / G7 = 8 => 18 pairs (_) D1,F3: 9.. / D1 = 9 => 0 pairs (*) / F3 = 9 => 0 pairs (X) A9,B9: 9.. / A9 = 9 => 17 pairs (_) / B9 = 9 => 0 pairs (X) G8,H8: 9.. / G8 = 9 => 0 pairs (X) / H8 = 9 => 15 pairs (_) B3,F3: 9.. / B3 = 9 => 0 pairs (*) / F3 = 9 => 0 pairs (X) F3,F6: 9.. / F3 = 9 => 0 pairs (X) / F6 = 9 => 0 pairs (_) * DURATION: 0:00:56.450416 START: 02:10:17.574860 END: 02:11:14.025276 2019-05-01 * CP COUNT: (37) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A1,A3,A7,A9,B1,B3,B9,C2,C3,C8,D1,F3,F6,G2,G8,H4,I7) * ....68....6.573.42...24.386.2..86..56...25.3..5..3.26..76394...48.617..3..1852674 * PAIR A1: 2,3 BLK 1 C1: 2,3,4 # reduction candidate for 2,3 C1: 4 => CTR * 234168....6.57314271524938612378649564.925.31.5.43126.57639482.482617..3391852674 C1: 2,3 # 17 pairs * PAIR B1: 3,4 BLK 1 C1: 3,4,2 # reduction candidate for 3,4 C1: 2 => CTR * 342168...869573142517249386123.86.9569..25.3175.931268276394...485617923931852674 C1: 3,4 # 15 pairs * PAIR C2: 8,9 BLK 1 A2: 8,9,1 # reduction candidate for 8,9 A2: 8,9 => CTR * ..2168.59.6.573142.1.249386123.86.956...25831.5..31267276394518485617923..1852674 A2: 1 => SOLVED * 243968751168573942795241386329786415617425839854139267576394128482617593931852674 * PAIR C2: 8,9 COL C C5: 8,9,4,7 # reduction candidate for 8,9 C5: 8,9 # 19 pairs C6: 8,9,4,7 # reduction candidate for 8,9 C6: 8,9 # 19 pairs * PAIR B3: 1,9 BLK 1 A2: 1,9,8 # reduction candidate for 1,9 A2: 8 => CTR * ..2168.59869573142.1.249386123.86.956...25831.58431267276394518485617923..1852674 A2: 1,9 # 18 pairs * PAIR B3: 1,9 COL B B5: 1,9,4 # reduction candidate for 1,9 B5: 4 => CTR * .34168....6.573142.1.249386123.8649564.925.31.5.43126..76394.18482617953.91852674 B5: 1,9 # 17 pairs * PAIR D1: 1,9 ROW 1 G1: 1,9,5,7 # reduction candidate for 1,9 G1: 1,9 # 20 pairs H1: 1,9,5 # reduction candidate for 1,9 H1: 1,9 => CTR * ....68597.6.573142.1.249386.2..86.156..125.3..5..3.26..76394...48.6179.3..1852674 H1: 5 # 19 pairs I1: 1,9,7 # reduction candidate for 1,9 I1: 1,9 # 20 pairs * PAIR D1: 1,9 COL D D4: 1,9,4,7 # reduction candidate for 1,9 D4: 1,9 # 23 pairs D5: 1,9,4,7 # reduction candidate for 1,9 D5: 1,9 # 20 pairs D6: 1,9,4,7 # reduction candidate for 1,9 D6: 1,9 # 22 pairs * PAIR G2: 1,9 BLK 3 G1: 1,9,5,7 # reduction candidate for 1,9 G1: 1,9 # 20 pairs H1: 1,9,5 # reduction candidate for 1,9 H1: 1,9 => CTR * ....68597.6.573142.1.249386.2..86.156..125.3..5..3.26..76394...48.6179.3..1852674 H1: 5 # 19 pairs I1: 1,9,7 # reduction candidate for 1,9 I1: 1,9 # 20 pairs * PAIR G2: 1,9 ROW 2 A2: 1,9,8 # reduction candidate for 1,9 A2: 8 => CTR * ..2168.59869573142.1.249386123.86.956...25831.58431267276394518485617923..1852674 A2: 1,9 # 18 pairs * PAIR G2: 1,9 COL G G4: 1,9,4,7 # reduction candidate for 1,9 G4: 1,9 => CTR * .4..68759.6.573142.1.249386.2..8691569.12543..5..3.26..763948.148.617..3..1852674 G4: 4,7 # 18 pairs G5: 1,9,4,7,8 # reduction candidate for 1,9 G5: 1,9 => CTR * ....68759.6.573142.1.249386.2..864156..125.3..5..3.26..763948.148.617..3..1852674 G5: 4,7,8 # 17 pairs * PAIR F6: 1,9 BLK 5 D4: 1,9,4,7 # reduction candidate for 1,9 D4: 1,9 # 23 pairs D5: 1,9,4,7 # reduction candidate for 1,9 D5: 1,9 # 20 pairs D6: 1,9,4,7 # reduction candidate for 1,9 D6: 1,9 # 22 pairs * PAIR F6: 1,9 ROW 6 A6: 1,9,7,8 # reduction candidate for 1,9 A6: 1,9 => CTR * 234168.59869573142715249386123.86.956...25.3195..3126..76394.1848.617923391852674 A6: 7,8 # 18 pairs I6: 1,9,7,8 # reduction candidate for 1,9 I6: 1,9 # 22 pairs * PAIR H4: 1,9 BLK 6 G4: 1,9,4,7 # reduction candidate for 1,9 G4: 1,9 => CTR * .4..68759.6.573142.1.249386.2..8691569.12543..5..3.26..763948.148.617..3..1852674 G4: 4,7 # 18 pairs G5: 1,9,4,7,8 # reduction candidate for 1,9 G5: 1,9 => CTR * ....68759.6.573142.1.249386.2..864156..125.3..5..3.26..763948.148.617..3..1852674 G5: 4,7,8 # 17 pairs I5: 1,9,7,8 # reduction candidate for 1,9 I5: 1,9 # 20 pairs I6: 1,9,7,8 # reduction candidate for 1,9 I6: 1,9 # 22 pairs * PAIR H4: 1,9 ROW 4 A4: 1,9,3,7 # reduction candidate for 1,9 A4: 1,9 # 21 pairs D4: 1,9,4,7 # reduction candidate for 1,9 D4: 1,9 # 23 pairs * PAIR H4: 1,9 COL H H1: 1,9,5 # reduction candidate for 1,9 H1: 1,9 => CTR * ....68597.6.573142.1.249386.2..86.156..125.3..5..3.26..76394...48.6179.3..1852674 H1: 5 # 19 pairs * PAIR A7: 2,5 ROW 7 H7: 2,5,1 # reduction candidate for 2,5 H7: 1 => CTR * 342.68.59.6.573142517249386.23.86.9569..2583..5.9312672763945184856179239.1852674 H7: 2,5 # 19 pairs * PAIR C8: 2,5 ROW 8 H8: 2,5,9 # reduction candidate for 2,5 H8: 2,5 => CTR * ..2168.59.6.573142.1.249386123.86.956...25831.5..31267276394518485617923..1852674 H8: 9 # 15 pairs * PAIR A9: 3,9 COL A A4: 3,9,1,7 # reduction candidate for 3,9 A4: 1,7 # 19 pairs A4: 3,9 # 18 pairs * PAIR I7: 1,8 BLK 9 G7: 1,8,5 # reduction candidate for 1,8 G7: 5 => CTR * ..2.68.59.6.573142517249386.23.864956...2583..5..312672763945.8485617923..1852674 G7: 1,8 # 19 pairs * PAIR I7: 1,8 COL I I5: 1,8,7,9 # reduction candidate for 1,8 I5: 1,8 # 20 pairs I6: 1,8,7,9 # reduction candidate for 1,8 I6: 1,8 # 20 pairs * PAIR G8: 5,9 BLK 9 H8: 5,9,2 # reduction candidate for 5,9 H8: 2 => CTR * 342168....6.573142517249386123.86.9569..25.3175.931268276394...485617923..1852674 H8: 5,9 # 15 pairs * PAIR G8: 5,9 COL G G1: 5,9,1,7 # reduction candidate for 5,9 G1: 5,9 => CTR * ...168..7.6.573142.1.249386.2..86.156...25.3.15..3.26..76394..148.617..3..1852674 G1: 1,7 # 20 pairs * INCONCLUSIVE * SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20060829-absurd-base-pr-000.dot * REASONING * DIS # C1: 4 => CTR => C1: 2,3 * DIS # C1: 2 => CTR => C1: 3,4 * DIS # A2: 8,9 => CTR => A2: 1 * PRF # A2: 1 => SOL * DIS # A2: 8 => CTR => A2: 1,9 * DIS # B5: 4 => CTR => B5: 1,9 * DIS # H1: 1,9 => CTR => H1: 5 * DIS # H1: 1,9 => CTR => H1: 5 * DIS # A2: 8 => CTR => A2: 1,9 * DIS # G4: 1,9 => CTR => G4: 4,7 * DIS # G5: 1,9 => CTR => G5: 4,7,8 * DIS # A6: 1,9 => CTR => A6: 7,8 * DIS # G4: 1,9 => CTR => G4: 4,7 * DIS # G5: 1,9 => CTR => G5: 4,7,8 * DIS # H1: 1,9 => CTR => H1: 5 * DIS # H7: 1 => CTR => H7: 2,5 * DIS # H8: 2,5 => CTR => H8: 9 * DIS # G7: 5 => CTR => G7: 1,8 * DIS # H8: 2 => CTR => H8: 5,9 * DIS # G1: 5,9 => CTR => G1: 1,7 * CNT 20 HDP CHAINS / 59 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A1,A3,A7,A9,B1,B3,B9,C2,C3,C8,D1,F3,F6,G2,G8,H4,I7) * ....68....6.573.42...24.386.2..86..56...25.3..5..3.26..76394...48.617..3..1852674 * PAIR A1: 2,3 BLK 1 C1: 2,3,4 # reduction candidate for 2,3 C1: 4 => CTR * 234168....6.57314271524938612378649564.925.31.5.43126.57639482.482617..3391852674 * PAIR C2: 8,9 COL C C5: 8,9,4,7 # reduction candidate for 8,9 C5: 8,9 # 19 pairs C6: 8,9,4,7 # reduction candidate for 8,9 C6: 8,9 # 19 pairs * PAIR D1: 1,9 ROW 1 G1: 1,9,5,7 # reduction candidate for 1,9 G1: 1,9 # 16 pairs H1: 1,9,5 # reduction candidate for 1,9 H1: 1,9 => CTR * .4..68597.69573142.1.249386.2.986.1569.125.3..5..3.26..76394...48.6179.3931852674 I1: 1,9,7 # reduction candidate for 1,9 I1: 1,9 # 20 pairs * PAIR D1: 1,9 COL D D4: 1,9,4,7 # reduction candidate for 1,9 D4: 1,9 # 25 pairs D5: 1,9,4,7 # reduction candidate for 1,9 D5: 1,9 # 23 pairs D6: 1,9,4,7 # reduction candidate for 1,9 D6: 1,9 # 24 pairs * PAIR RESTART * PAIR D1: 1,9 ROW 1 G1: 1,9,7 # reduction candidate for 1,9 G1: 1,9 # 16 pairs I1: 1,9,7 # reduction candidate for 1,9 I1: 1,9 # 20 pairs * PAIR D1: 1,9 COL D D4: 1,9,4,7 # reduction candidate for 1,9 D4: 1,9 # 25 pairs D5: 1,9,4,7 # reduction candidate for 1,9 D5: 1,9 # 23 pairs D6: 1,9,4,7 # reduction candidate for 1,9 D6: 1,9 # 24 pairs * PAIR G2: 1,9 BLK 3 G1: 1,9,7 # reduction candidate for 1,9 G1: 1,9 # 16 pairs I1: 1,9,7 # reduction candidate for 1,9 I1: 1,9 # 20 pairs * PAIR G2: 1,9 COL G G4: 1,9,4,7 # reduction candidate for 1,9 G4: 1,9 => CTR * .4..68759.69573142.15249386.2..8691569.12543..5..3.26..763948.148.617593931852674 G5: 1,9,4,7,8 # reduction candidate for 1,9 G5: 1,9 => CTR * .4..68759.69573142.15249386.2.98641569..25.3..5..3.26..763948.148.617593931852674 * RESTART * PAIR RESTART * PAIR G2: 1,9 BLK 3 G1: 1,9,7 # reduction candidate for 1,9 G1: 1,9 # 16 pairs I1: 1,9,7 # reduction candidate for 1,9 I1: 1,9 # 20 pairs * PAIR F6: 1,9 BLK 5 D4: 1,9,4,7 # reduction candidate for 1,9 D4: 1,9 # 25 pairs D5: 1,9,4,7 # reduction candidate for 1,9 D5: 1,9 # 29 pairs D6: 1,9,4,7 # reduction candidate for 1,9 D6: 1,9 # 29 pairs * PAIR F6: 1,9 ROW 6 I6: 1,9,7,8 # reduction candidate for 1,9 I6: 1,9 # 24 pairs I6: 7,8 # 23 pairs * PAIR H4: 1,9 BLK 6 I5: 1,9,7,8 # reduction candidate for 1,9 I5: 1,9 # 23 pairs I6: 1,9,7,8 # reduction candidate for 1,9 I6: 1,9 # 24 pairs * PAIR H4: 1,9 ROW 4 D4: 1,9,4,7 # reduction candidate for 1,9 D4: 1,9 # 25 pairs D4: 4,7 # 24 pairs * PAIR I7: 1,8 BLK 9 G7: 1,8,5 # reduction candidate for 1,8 G7: 5 => CTR * .42.68.59.69573142517249386.23.86495694.2583..58.3.26..763945.8485617923931852674 * LEVEL 0 PASS 1 ROUND 2 (AUTO SOLVE) (A2,A6,B3,B5,C2,D1,F3,F6,G2,G4,G7,I1,I7) * 243.68.5..6.573.427.524.38632..86.156...25.3..5..3.26.576394.2.482617593931852674 * PAIR C2: 8,9 COL C C5: 8,9,4,7 # reduction candidate for 8,9 C5: 8,9 => CTR * 243168957.6957314271524.38632..86.156...25.3..5..3.26.576394.2.482617593931852674 C6: 8,9,4,7 # reduction candidate for 8,9 C6: 8,9 => CTR * 243.6875116857394279524138632..86.156...25.3..5.43.267576394.2.482617593931852674 C6: 4,7 => SOLVED * 243968751168573942795241386329786415617425839854139267576394128482617593931852674 * DURATION: 0:00:28.480913 START: 02:11:58.948347 END: 02:12:27.429260 2019-05-01 * SOLUTION FOUND * SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20060829-absurd-base-pr-001.dot * REASONING * DIS # C1: 4 => CTR => C1: 2,3 * DIS C1: 2,3 # H1: 1,9 => CTR => H1: 5 * DIS C1: 2,3 + H1: 5 # G4: 1,9 => CTR => G4: 4,7 * DIS C1: 2,3 + H1: 5 + G4: 4,7 # G5: 1,9 => CTR => G5: 4,7,8 * DIS C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 # G7: 5 => CTR => G7: 1,8 * DIS C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 + G7: 1,8 # C5: 8,9 => CTR => C5: 4,7 * DIS C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 + G7: 1,8 + C5: 4,7 # C6: 8,9 => CTR => C6: 4,7 * PRF C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 + G7: 1,8 + C5: 4,7 + C6: 4,7 => SOL * STA C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 + G7: 1,8 + C5: 4,7 + C6: 4,7 * CNT 8 HDP CHAINS / 34 HYP OPENED
Header Info
http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Aug&YEAR=2006, 20060829, absurd
Solution
position: 243968751168573942795241386329786415617425839854139267576394128482617593931852674 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: 2,3 => UNS * DIS # C1: 4 => CTR => C1: 2,3 * INC # C1: 3,4 => UNS * DIS # C1: 2 => CTR => C1: 3,4 * DIS # A2: 8,9 => CTR => A2: 1 * PRF # A2: 1 => SOL * INC # C5: 8,9 => UNS * INC # C6: 8,9 => UNS * INC # A2: 1,9 => UNS * DIS # A2: 8 => CTR => A2: 1,9 * INC # B5: 1,9 => UNS * DIS # B5: 4 => CTR => B5: 1,9 * INC # G1: 1,9 => UNS * DIS # H1: 1,9 => CTR => H1: 5 * INC # H1: 5 => UNS * INC # I1: 1,9 => UNS * INC # D4: 1,9 => UNS * INC # D5: 1,9 => UNS * INC # D6: 1,9 => UNS * INC # G1: 1,9 => UNS * DIS # H1: 1,9 => CTR => H1: 5 * INC # H1: 5 => UNS * INC # I1: 1,9 => UNS * INC # A2: 1,9 => UNS * DIS # A2: 8 => CTR => A2: 1,9 * DIS # G4: 1,9 => CTR => G4: 4,7 * INC # G4: 4,7 => UNS * DIS # G5: 1,9 => CTR => G5: 4,7,8 * INC # G5: 4,7,8 => UNS * INC # D4: 1,9 => UNS * INC # D5: 1,9 => UNS * INC # D6: 1,9 => UNS * DIS # A6: 1,9 => CTR => A6: 7,8 * INC # A6: 7,8 => UNS * INC # I6: 1,9 => UNS * DIS # G4: 1,9 => CTR => G4: 4,7 * INC # G4: 4,7 => UNS * DIS # G5: 1,9 => CTR => G5: 4,7,8 * INC # G5: 4,7,8 => UNS * INC # I5: 1,9 => UNS * INC # I6: 1,9 => UNS * INC # A4: 1,9 => UNS * INC # D4: 1,9 => UNS * DIS # H1: 1,9 => CTR => H1: 5 * INC # H1: 5 => UNS * INC # H7: 2,5 => UNS * DIS # H7: 1 => CTR => H7: 2,5 * DIS # H8: 2,5 => CTR => H8: 9 * INC # H8: 9 => UNS * INC # A4: 3,9 => UNS * INC # A4: 1,7 => UNS * INC # G7: 1,8 => UNS * DIS # G7: 5 => CTR => G7: 1,8 * INC # I5: 1,8 => UNS * INC # I6: 1,8 => UNS * INC # H8: 5,9 => UNS * DIS # H8: 2 => CTR => H8: 5,9 * DIS # G1: 5,9 => CTR => G1: 1,7 * INC # G1: 1,7 => UNS * CNT 59 HDP CHAINS / 59 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C1: 2,3 => UNS * DIS # C1: 4 => CTR => C1: 2,3 * INC C1: 2,3 # C5: 8,9 => UNS * INC C1: 2,3 # C6: 8,9 => UNS * INC C1: 2,3 # G1: 1,9 => UNS * DIS C1: 2,3 # H1: 1,9 => CTR => H1: 5 * INC C1: 2,3 + H1: 5 # I1: 1,9 => UNS * INC C1: 2,3 + H1: 5 # D4: 1,9 => UNS * INC C1: 2,3 + H1: 5 # D5: 1,9 => UNS * INC C1: 2,3 + H1: 5 # D6: 1,9 => UNS * INC C1: 2,3 + H1: 5 # G1: 1,9 => UNS * INC C1: 2,3 + H1: 5 # I1: 1,9 => UNS * INC C1: 2,3 + H1: 5 # D4: 1,9 => UNS * INC C1: 2,3 + H1: 5 # D5: 1,9 => UNS * INC C1: 2,3 + H1: 5 # D6: 1,9 => UNS * INC C1: 2,3 + H1: 5 # G1: 1,9 => UNS * INC C1: 2,3 + H1: 5 # I1: 1,9 => UNS * DIS C1: 2,3 + H1: 5 # G4: 1,9 => CTR => G4: 4,7 * DIS C1: 2,3 + H1: 5 + G4: 4,7 # G5: 1,9 => CTR => G5: 4,7,8 * INC C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 # G1: 1,9 => UNS * INC C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 # I1: 1,9 => UNS * INC C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 # D4: 1,9 => UNS * INC C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 # D5: 1,9 => UNS * INC C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 # D6: 1,9 => UNS * INC C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 # I6: 1,9 => UNS * INC C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 # I6: 7,8 => UNS * INC C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 # I5: 1,9 => UNS * INC C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 # I6: 1,9 => UNS * INC C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 # D4: 1,9 => UNS * INC C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 # D4: 4,7 => UNS * INC C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 # G7: 1,8 => UNS * DIS C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 # G7: 5 => CTR => G7: 1,8 * DIS C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 + G7: 1,8 # C5: 8,9 => CTR => C5: 4,7 * DIS C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 + G7: 1,8 + C5: 4,7 # C6: 8,9 => CTR => C6: 4,7 * PRF C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 + G7: 1,8 + C5: 4,7 + C6: 4,7 => SOL * STA C1: 2,3 + H1: 5 + G4: 4,7 + G5: 4,7,8 + G7: 1,8 + C5: 4,7 + C6: 4,7 * CNT 35 HDP CHAINS / 34 HYP OPENED