Analysis of xx-top95-080-base.sdk
Contents
Original Sudoku
level: medium
position: 963......1....8......2.5....4.8......1....7......3..257......3...9.2.4.7......9.. initial
Autosolve
position: 963......152398674874265....4587.....18.5.74.697.3.8257......3.5.9.2.4.74.....9.. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # D1: 1,4 => CTR => D1: 7 * PRF # D1: 7 => SOL * PRF # F1: 1,4 => SOL * DIS # F1: 7 => CTR => F1: 1,4 * PRF # E7: 8 => SOL * PRF # H9: 5,8 => SOL * DIS # H9: 1,6 => CTR => H9: 5,8 * DIS # I7: 2,8 => CTR => I7: 1,6 * DIS # D7: 6,9 => CTR => D7: 1,4,5 * DIS # D1: 1,4 => CTR => D1: 7 * PRF # D1: 7 => SOL * PRF # D7: 1,4 => SOL * PRF # F1: 1,4 => SOL * DIS # F1: 7 => CTR => F1: 1,4 * DIS # F7: 1,4 => CTR => F7: 6,9 * DIS # B9: 2,8 => CTR => B9: 3 * PRF # B9: 3 => SOL * DIS # I7: 2,8 => CTR => I7: 1,6 * DIS # D7: 1,6 => CTR => D7: 4,5,9 * DIS # F7: 1,6 => CTR => F7: 4,9 * PRF # B9: 3,8 => SOL * DIS # B9: 2 => CTR => B9: 3,8 * DIS # D9: 1,6 => CTR => D9: 5,7 * DIS # F9: 1,6 => CTR => F9: 3,7 * DIS # H9: 1,6 => CTR => H9: 5,8 * PRF # H9: 5,8 => SOL * DIS # I9: 1,6 => CTR => I9: 2,8 * DIS # D7: 1,6 => CTR => D7: 4,5,9 * DIS # F7: 1,6 => CTR => F7: 4,9 * DIS # F8: 1,6 => CTR => F8: 3 * PRF # F8: 3 => SOL * DIS # D9: 1,6 => CTR => D9: 5,7 * DIS # F9: 1,6 => CTR => F9: 3,7 * PRF # H8: 1,6 => SOL * DIS # H8: 8 => CTR => H8: 1,6 * PRF # E7: 1,8 => SOL * PRF # H9: 1,8 => SOL * DIS # I9: 1,8 => CTR => I9: 2,6 * CNT 38 HDP CHAINS / 70 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # D1: 1,4 => CTR => D1: 7 * PRF D1: 7 => SOL * STA D1: 7 * CNT 2 HDP CHAINS / 1 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 963......1....8......2.5....4.8......1....7......3..257......3...9.2.4.7......9.. | initial |
| 963......152398674874265....4587.....18.5.74.697.3.8257......3.5.9.2.4.74.....9.. | autosolve |
| 963741258152398674874265391345872169218956743697134825721489536589623417436517982 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (19) E1: 1,4 G1: 2,5 H1: 5,8 I1: 2,8 G3: 1,3 H3: 1,9 A4: 2,3 A5: 2,3 D5: 6,9 D6: 1,4 F6: 1,4 G4: 1,3 B7: 2,8 C7: 1,6 B8: 3,8 C9: 1,6 D8: 1,6 E9: 1,8 G7: 2,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D6,F6: 1.. / D6 = 1 => 24 pairs (_) / F6 = 1 => 20 pairs (_) C7,C9: 1.. / C7 = 1 => 18 pairs (_) / C9 = 1 => 24 pairs (_) G3,G4: 1.. / G3 = 1 => 17 pairs (_) / G4 = 1 => 19 pairs (_) G1,I1: 2.. / G1 = 2 => 0 pairs (*) / I1 = 2 => 0 pairs (X) A4,A5: 2.. / A4 = 2 => 19 pairs (_) / A5 = 2 => 19 pairs (_) F4,F5: 2.. / F4 = 2 => 19 pairs (_) / F5 = 2 => 19 pairs (_) B7,B9: 2.. / B7 = 2 => 0 pairs (*) / B9 = 2 => 0 pairs (X) A4,F4: 2.. / A4 = 2 => 19 pairs (_) / F4 = 2 => 19 pairs (_) A5,F5: 2.. / A5 = 2 => 19 pairs (_) / F5 = 2 => 19 pairs (_) B9,I9: 2.. / B9 = 2 => 0 pairs (X) / I9 = 2 => 0 pairs (_) G1,G7: 2.. / G1 = 2 => 0 pairs (*) / G7 = 2 => 0 pairs (X) G3,I3: 3.. / G3 = 3 => 19 pairs (_) / I3 = 3 => 17 pairs (_) A4,A5: 3.. / A4 = 3 => 19 pairs (_) / A5 = 3 => 19 pairs (_) B8,B9: 3.. / B8 = 3 => 0 pairs (X) / B9 = 3 => 0 pairs (_) F8,F9: 3.. / F8 = 3 => 0 pairs (*) / F9 = 3 => 0 pairs (X) A5,I5: 3.. / A5 = 3 => 19 pairs (_) / I5 = 3 => 19 pairs (_) B8,F8: 3.. / B8 = 3 => 0 pairs (X) / F8 = 3 => 0 pairs (_) B9,F9: 3.. / B9 = 3 => 0 pairs (*) / F9 = 3 => 0 pairs (X) G3,G4: 3.. / G3 = 3 => 19 pairs (_) / G4 = 3 => 17 pairs (_) D6,F6: 4.. / D6 = 4 => 20 pairs (_) / F6 = 4 => 24 pairs (_) E1,E7: 4.. / E1 = 4 => 0 pairs (*) / E7 = 4 => 0 pairs (X) G1,H1: 5.. / G1 = 5 => 0 pairs (X) / H1 = 5 => 0 pairs (_) D7,D9: 5.. / D7 = 5 => 0 pairs (X) / D9 = 5 => 0 pairs (_) G7,H9: 5.. / G7 = 5 => 0 pairs (*) / H9 = 5 => 0 pairs (X) D7,G7: 5.. / D7 = 5 => 0 pairs (X) / G7 = 5 => 0 pairs (_) D9,H9: 5.. / D9 = 5 => 0 pairs (*) / H9 = 5 => 0 pairs (X) G1,G7: 5.. / G1 = 5 => 0 pairs (X) / G7 = 5 => 0 pairs (_) H1,H9: 5.. / H1 = 5 => 0 pairs (*) / H9 = 5 => 0 pairs (X) C7,C9: 6.. / C7 = 6 => 24 pairs (_) / C9 = 6 => 18 pairs (_) D1,F1: 7.. / D1 = 7 => 0 pairs (*) / F1 = 7 => 0 pairs (X) D9,F9: 7.. / D9 = 7 => 0 pairs (X) / F9 = 7 => 0 pairs (_) D1,D9: 7.. / D1 = 7 => 0 pairs (*) / D9 = 7 => 0 pairs (X) F1,F9: 7.. / F1 = 7 => 0 pairs (X) / F9 = 7 => 0 pairs (_) H1,I1: 8.. / H1 = 8 => 0 pairs (X) / I1 = 8 => 0 pairs (_) E7,E9: 8.. / E7 = 8 => 0 pairs (*) / E9 = 8 => 0 pairs (X) B8,H8: 8.. / B8 = 8 => 0 pairs (*) / H8 = 8 => 0 pairs (X) H3,I3: 9.. / H3 = 9 => 20 pairs (_) / I3 = 9 => 26 pairs (_) D7,F7: 9.. / D7 = 9 => 0 pairs (X) / F7 = 9 => 22 pairs (_) D5,D7: 9.. / D5 = 9 => 22 pairs (_) / D7 = 9 => 0 pairs (X) H3,H4: 9.. / H3 = 9 => 20 pairs (_) / H4 = 9 => 26 pairs (_) * DURATION: 0:01:22.152829 START: 00:46:13.420842 END: 00:47:35.573671 2017-05-04 * CP COUNT: (40) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A4,A5,B7,B8,C7,C9,D5,D6,D8,E1,E9,F6,G1,G3,G4,G7,H1,H3,I1) * 963......152398674874265....4587.....18.5.74.697.3.8257......3.5.9.2.4.74.....9.. * PAIR E1: 1,4 BLK 2 D1: 1,4,7 # reduction candidate for 1,4 D1: 1,4 => CTR * 963..7582152398674874265....4587.....18.5.74.697.3.8257..5.923.589.2.4.74..7..95. D1: 7 => SOLVED * 963741258152398674874265391345872169218956743697134825721489536589623417436517982 F1: 1,4,7 # reduction candidate for 1,4 F1: 1,4 => SOLVED * 963741258152398674874265391345872169218956743697134825721489536589623417436517982 F1: 7 => CTR * 963..7582152398674874265....4587.....18.5.74.697.3.8257..5.923.589.2.4.74..7..95. * PAIR E1: 1,4 COL E E7: 1,4,8 # reduction candidate for 1,4 E7: 8 => SOLVED * 963741258152398674874265391345872169218956743697134825721489536589623417436517982 E7: 1,4 # 20 pairs * PAIR H1: 5,8 COL H H9: 5,8,1,6 # reduction candidate for 5,8 H9: 5,8 => SOLVED * 963741258152398674874265391345872169218956743697134825721489536589623417436517982 H9: 1,6 => CTR * 9637..258152398674874265....4587.....18.5.74.697.3.8257.....53.539.2.4874..5.79.. * PAIR I1: 2,8 COL I I7: 2,8,1,6 # reduction candidate for 2,8 I7: 2,8 => CTR * 963...258152398674874265....4587.....18.5.74.697.3.82578....532539.2.48742.58.9.. I7: 1,6 # 23 pairs I9: 2,8,1,6 # reduction candidate for 2,8 I9: 2,8 # 23 pairs * PAIR G3: 1,3 BLK 3 I3: 1,3,9 # reduction candidate for 1,3 I3: 9 # 26 pairs I3: 1,3 # 20 pairs * PAIR H3: 1,9 BLK 3 I3: 1,9,3 # reduction candidate for 1,9 I3: 1,9 # 19 pairs I3: 3 # 17 pairs * PAIR H3: 1,9 COL H H4: 1,9,6 # reduction candidate for 1,9 H4: 1,9 # 28 pairs H4: 6 # 22 pairs * PAIR D5: 6,9 BLK 5 F4: 6,9,2 # reduction candidate for 6,9 F4: 6,9 # 19 pairs F5: 6,9,2 # reduction candidate for 6,9 F5: 6,9 # 19 pairs * PAIR D5: 6,9 ROW 5 I5: 6,9,3 # reduction candidate for 6,9 I5: 6,9 # 19 pairs I5: 3 # 19 pairs * PAIR D5: 6,9 COL D D7: 6,9,1,4,5 # reduction candidate for 6,9 D7: 6,9 => CTR * 9637..258152398674874265....4587.....18.5.74.6974318257.....53.5.9123467436587912 D7: 1,4,5 # 22 pairs * PAIR D6: 1,4 COL D D1: 1,4,7 # reduction candidate for 1,4 D1: 1,4 => CTR * 963..7582152398674874265....4587.....18.5.74.697.3.8257..5.923.589.2.4.74..7..95. D1: 7 => SOLVED * 963741258152398674874265391345872169218956743697134825721489536589623417436517982 D7: 1,4,5,6,9 # reduction candidate for 1,4 D7: 1,4 => SOLVED * 963741258152398674874265391345872169218956743697134825721489536589623417436517982 D7: 5,6,9 # 19 pairs * PAIR F6: 1,4 COL F F1: 1,4,7 # reduction candidate for 1,4 F1: 1,4 => SOLVED * 963741258152398674874265391345872169218956743697134825721489536589623417436517982 F1: 7 => CTR * 963..7582152398674874265....4587.....18.5.74.697.3.8257..5.923.589.2.4.74..7..95. F7: 1,4,6,9 # reduction candidate for 1,4 F7: 1,4 => CTR * 9637..258152398674874265....4587.....1865.74.6974318257..9..53.5.9.2.4.74..5.79.. F7: 6,9 # 21 pairs * PAIR G4: 1,3 BLK 6 I4: 1,3,6,9 # reduction candidate for 1,3 I4: 1,3 # 21 pairs I4: 6,9 # 20 pairs * PAIR B7: 2,8 BLK 7 B9: 2,8,3 # reduction candidate for 2,8 B9: 2,8 => CTR * 963..7.58152398674874265....4587.....18.5.74.697.3.8257.....53.539.2.4874....39.. B9: 3 => SOLVED * 963741258152398674874265391345872169218956743697134825721489536589623417436517982 * PAIR B7: 2,8 ROW 7 I7: 2,8,1,6 # reduction candidate for 2,8 I7: 2,8 => CTR * 963...258152398674874265....4587.....18.5.74.697.3.82578....532539.2.48742.58.9.. I7: 1,6 # 23 pairs * PAIR C7: 1,6 ROW 7 D7: 1,6,4,5,9 # reduction candidate for 1,6 D7: 1,6 => CTR * 9637..258152398674874265....4587.....1895.74.6974318257...4953.5.9.234.743.5879.2 D7: 4,5,9 # 19 pairs F7: 1,6,4,9 # reduction candidate for 1,6 F7: 1,6 => CTR * 963714258152398674874265....4587.....1865.74.69743182578.9465325.9.2.4.74..5879.. F7: 4,9 # 20 pairs I7: 1,6,2,8 # reduction candidate for 1,6 I7: 1,6 # 23 pairs * PAIR B8: 3,8 BLK 7 B9: 3,8,2 # reduction candidate for 3,8 B9: 3,8 => SOLVED * 963741258152398674874265391345872169218956743697134825721489536589623417436517982 B9: 2 => CTR * 963..7.58152398674874265....4587.....18.5.74.697.3.82578....532539.2.48742..839.. * PAIR C9: 1,6 ROW 9 D9: 1,6,5,7 # reduction candidate for 1,6 D9: 1,6 => CTR * 9637.....152398674874265....4587.....18.5.74.697.3.8257..5.923.5.9.2.4.742....9.. D9: 5,7 # 20 pairs F9: 1,6,3,7 # reduction candidate for 1,6 F9: 1,6 => CTR * 963..7...152398674874265....4587.....18.5.74.697.3.8257......3.5.9.234.743.7..952 F9: 3,7 # 20 pairs H9: 1,6,5,8 # reduction candidate for 1,6 H9: 1,6 => CTR * 9637..258152398674874265....4587.....18.5.74.697.3.8257.....53.539.2.4874..5.79.. H9: 5,8 => SOLVED * 963741258152398674874265391345872169218956743697134825721489536589623417436517982 I9: 1,6,2,8 # reduction candidate for 1,6 I9: 1,6 => CTR * 963..7...152398674874265....4587.....18.5.74.697.3.82578.....3.539.2.48742.78395. I9: 2,8 # 23 pairs * PAIR D8: 1,6 BLK 8 D7: 1,6,4,5,9 # reduction candidate for 1,6 D7: 1,6 => CTR * 9637..258152398674874265....4587.....1895.74.6974318257...4953.5.9.234.743.5879.2 D7: 4,5,9 # 19 pairs F7: 1,6,4,9 # reduction candidate for 1,6 F7: 1,6 => CTR * 963714258152398674874265....4587.....1865.74.69743182578.9465325.9.2.4.74..5879.. F7: 4,9 # 20 pairs F8: 1,6,3 # reduction candidate for 1,6 F8: 1,6 => CTR * 963..7.58152398674874265....4587.....18.5.74.697.3.8257.....53.539.2.4874....39.. F8: 3 => SOLVED * 963741258152398674874265391345872169218956743697134825721489536589623417436517982 D9: 1,6,5,7 # reduction candidate for 1,6 D9: 1,6 => CTR * 9637.....152398674874265....4587.....18.5.74.697.3.8257..5.923.5.9.2.4.742....9.. D9: 5,7 # 20 pairs F9: 1,6,3,7 # reduction candidate for 1,6 F9: 1,6 => CTR * 963..7...152398674874265....4587.....18.5.74.697.3.8257......3.5.9.234.743.7..952 F9: 3,7 # 20 pairs * PAIR D8: 1,6 ROW 8 H8: 1,6,8 # reduction candidate for 1,6 H8: 1,6 => SOLVED * 963741258152398674874265391345872169218956743697134825721489536589623417436517982 H8: 8 => CTR * 963....58152398674874265....4587.....18.5.74.697.3.8257.....53.539.2.4874..5..9.. * PAIR E9: 1,8 BLK 8 E7: 1,8,4 # reduction candidate for 1,8 E7: 1,8 => SOLVED * 963741258152398674874265391345872169218956743697134825721489536589623417436517982 E7: 4 # 20 pairs * PAIR E9: 1,8 ROW 9 H9: 1,8,5,6 # reduction candidate for 1,8 H9: 1,8 => SOLVED * 963741258152398674874265391345872169218956743697134825721489536589623417436517982 H9: 5,6 # 20 pairs I9: 1,8,2,6 # reduction candidate for 1,8 I9: 1,8 => CTR * 963..7...152398674874265....4587.....18.5.74.697.3.82578.....3.539.2.48742.78395. I9: 2,6 # 20 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-top95-080-base-pr-000.dot * REASONING * DIS # D1: 1,4 => CTR => D1: 7 * PRF # D1: 7 => SOL * PRF # F1: 1,4 => SOL * DIS # F1: 7 => CTR => F1: 1,4 * PRF # E7: 8 => SOL * PRF # H9: 5,8 => SOL * DIS # H9: 1,6 => CTR => H9: 5,8 * DIS # I7: 2,8 => CTR => I7: 1,6 * DIS # D7: 6,9 => CTR => D7: 1,4,5 * DIS # D1: 1,4 => CTR => D1: 7 * PRF # D1: 7 => SOL * PRF # D7: 1,4 => SOL * PRF # F1: 1,4 => SOL * DIS # F1: 7 => CTR => F1: 1,4 * DIS # F7: 1,4 => CTR => F7: 6,9 * DIS # B9: 2,8 => CTR => B9: 3 * PRF # B9: 3 => SOL * DIS # I7: 2,8 => CTR => I7: 1,6 * DIS # D7: 1,6 => CTR => D7: 4,5,9 * DIS # F7: 1,6 => CTR => F7: 4,9 * PRF # B9: 3,8 => SOL * DIS # B9: 2 => CTR => B9: 3,8 * DIS # D9: 1,6 => CTR => D9: 5,7 * DIS # F9: 1,6 => CTR => F9: 3,7 * DIS # H9: 1,6 => CTR => H9: 5,8 * PRF # H9: 5,8 => SOL * DIS # I9: 1,6 => CTR => I9: 2,8 * DIS # D7: 1,6 => CTR => D7: 4,5,9 * DIS # F7: 1,6 => CTR => F7: 4,9 * DIS # F8: 1,6 => CTR => F8: 3 * PRF # F8: 3 => SOL * DIS # D9: 1,6 => CTR => D9: 5,7 * DIS # F9: 1,6 => CTR => F9: 3,7 * PRF # H8: 1,6 => SOL * DIS # H8: 8 => CTR => H8: 1,6 * PRF # E7: 1,8 => SOL * PRF # H9: 1,8 => SOL * DIS # I9: 1,8 => CTR => I9: 2,6 * CNT 38 HDP CHAINS / 70 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A4,A5,B7,B8,C7,C9,D5,D6,D8,E1,E9,F6,G1,G3,G4,G7,H1,H3,I1) * 963......152398674874265....4587.....18.5.74.697.3.8257......3.5.9.2.4.74.....9.. * PAIR E1: 1,4 BLK 2 D1: 1,4,7 # reduction candidate for 1,4 D1: 1,4 => CTR * 963..7582152398674874265....4587.....18.5.74.697.3.8257..5.923.589.2.4.74..7..95. D1: 7 => SOLVED * 963741258152398674874265391345872169218956743697134825721489536589623417436517982 * DURATION: 0:00:02.046572 START: 00:48:59.560282 END: 00:49:01.606854 2017-05-04 * SOLUTION FOUND * SAVE PR GRAPH xx-top95-080-base-pr-001.dot * REASONING * DIS # D1: 1,4 => CTR => D1: 7 * PRF D1: 7 => SOL * STA D1: 7 * CNT 2 HDP CHAINS / 1 HYP OPENED
Header Info
Top 95 Sudokus 080 [sudoku:top95] “95 Hard Puzzles”, http://magictour.free.fr/top95, or http://norvig.com/top95.txt
Solution
position: 963741258152398674874265391345872169218956743697134825721489536589623417436517982 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:
* DIS # D1: 1,4 => CTR => D1: 7 * PRF # D1: 7 => SOL * PRF # F1: 1,4 => SOL * DIS # F1: 7 => CTR => F1: 1,4 * INC # E7: 1,4 => UNS * PRF # E7: 8 => SOL * PRF # H9: 5,8 => SOL * DIS # H9: 1,6 => CTR => H9: 5,8 * DIS # I7: 2,8 => CTR => I7: 1,6 * INC # I7: 1,6 => UNS * INC # I9: 2,8 => UNS * INC # I3: 1,3 => UNS * INC # I3: 9 => UNS * INC # I3: 1,9 => UNS * INC # I3: 3 => UNS * INC # H4: 1,9 => UNS * INC # H4: 6 => UNS * INC # F4: 6,9 => UNS * INC # F5: 6,9 => UNS * INC # I5: 6,9 => UNS * INC # I5: 3 => UNS * DIS # D7: 6,9 => CTR => D7: 1,4,5 * INC # D7: 1,4,5 => UNS * DIS # D1: 1,4 => CTR => D1: 7 * PRF # D1: 7 => SOL * PRF # D7: 1,4 => SOL * INC # D7: 5,6,9 => UNS * PRF # F1: 1,4 => SOL * DIS # F1: 7 => CTR => F1: 1,4 * DIS # F7: 1,4 => CTR => F7: 6,9 * INC # F7: 6,9 => UNS * INC # I4: 1,3 => UNS * INC # I4: 6,9 => UNS * DIS # B9: 2,8 => CTR => B9: 3 * PRF # B9: 3 => SOL * DIS # I7: 2,8 => CTR => I7: 1,6 * INC # I7: 1,6 => UNS * DIS # D7: 1,6 => CTR => D7: 4,5,9 * INC # D7: 4,5,9 => UNS * DIS # F7: 1,6 => CTR => F7: 4,9 * INC # F7: 4,9 => UNS * INC # I7: 1,6 => UNS * PRF # B9: 3,8 => SOL * DIS # B9: 2 => CTR => B9: 3,8 * DIS # D9: 1,6 => CTR => D9: 5,7 * INC # D9: 5,7 => UNS * DIS # F9: 1,6 => CTR => F9: 3,7 * INC # F9: 3,7 => UNS * DIS # H9: 1,6 => CTR => H9: 5,8 * PRF # H9: 5,8 => SOL * DIS # I9: 1,6 => CTR => I9: 2,8 * INC # I9: 2,8 => UNS * DIS # D7: 1,6 => CTR => D7: 4,5,9 * INC # D7: 4,5,9 => UNS * DIS # F7: 1,6 => CTR => F7: 4,9 * INC # F7: 4,9 => UNS * DIS # F8: 1,6 => CTR => F8: 3 * PRF # F8: 3 => SOL * DIS # D9: 1,6 => CTR => D9: 5,7 * INC # D9: 5,7 => UNS * DIS # F9: 1,6 => CTR => F9: 3,7 * INC # F9: 3,7 => UNS * PRF # H8: 1,6 => SOL * DIS # H8: 8 => CTR => H8: 1,6 * PRF # E7: 1,8 => SOL * INC # E7: 4 => UNS * PRF # H9: 1,8 => SOL * INC # H9: 5,6 => UNS * DIS # I9: 1,8 => CTR => I9: 2,6 * INC # I9: 2,6 => UNS * CNT 70 HDP CHAINS / 70 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # D1: 1,4 => CTR => D1: 7 * PRF D1: 7 => SOL * STA D1: 7 * CNT 2 HDP CHAINS / 1 HYP OPENED