Analysis of zz-www.sudokuoftheday.co.uk-20190423-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: ..7..1.8.......15......8..2..9..26.4..83...9....49....8.4.....69...6...3..3..982. initial
Autosolve
position: ..76.1.89.8.9.4157.9...8.62..9.826.4..83...9....49...88.42.39.69..86..43..3.4982. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # A2: 2,6 => CTR => A2: 3 * DIS # A3: 3,4 => CTR => A3: 1,5 * DIS # E1: 2,3 => CTR => E1: 5 * DIS # A2: 6 => CTR => A2: 2,3 * DIS # E3: 5,7 => CTR => E3: 3 * DIS # D4: 5,7 => CTR => D4: 1 * PRF # D4: 1 => SOL * PRF # D9: 5,7 => SOL * DIS # D9: 1 => CTR => D9: 5,7 * DIS # A3: 3,4 => CTR => A3: 1,5 * DIS # A5: 1,5 => CTR => A5: 2,4,6,7 * PRF # B5: 1,5 => SOL * DIS # E7: 5,7 => CTR => E7: 1 * PRF # E7: 1 => SOL * DIS # B5: 5,7 => CTR => B5: 1,2,4,6 * DIS # E7: 5,7 => CTR => E7: 1 * PRF # E7: 1 => SOL * PRF # D9: 5,7 => SOL * DIS # D9: 1 => CTR => D9: 5,7 * DIS # E7: 5 => CTR => E7: 1,7 * DIS # D9: 7 => CTR => D9: 1,5 * CNT 21 HDP CHAINS / 53 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # A2: 2,6 => CTR => A2: 3 * DIS A2: 3 # A3: 4 => CTR => A3: 1,5 * DIS A2: 3 + A3: 1,5 # A5: 1,5 => CTR => A5: 2,4,6,7 * DIS A2: 3 + A3: 1,5 + A5: 2,4,6,7 # C6: 5 => CTR => C6: 1,2 * DIS A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # A5: 6,7 => CTR => A5: 2,4 * PRF A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 # A6: 6 => SOL * STA A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 + A6: 6 * CNT 6 HDP CHAINS / 22 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ..7..1.8.......15......8..2..9..26.4..83...9....49....8.4.....69...6...3..3..982. | initial |
| ..76.1.89.8.9.4157.9...8.62..9.826.4..83...9....49...88.42.39.69..86..43..3.4982. | autosolve |
| 247651389386924157195738462579182634418376295632495718854213976921867543763549821 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (14) C2: 2,6 C3: 1,5 E2: 2,3 D3: 5,7 G1: 3,4 G3: 3,4 I5: 1,5 B7: 5,7 B8: 1,2 C8: 1,2 F8: 5,7 H7: 1,7 G8: 5,7 I9: 1,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A3,C3: 1.. / A3 = 1 => 17 pairs (_) / C3 = 1 => 0 pairs (X) D4,E5: 1.. / D4 = 1 => 0 pairs (*) / E5 = 1 => 0 pairs (X) B8,C8: 1.. / B8 = 1 => 13 pairs (_) / C8 = 1 => 15 pairs (_) E7,D9: 1.. / E7 = 1 => 0 pairs (*) / D9 = 1 => 0 pairs (X) H7,I9: 1.. / H7 = 1 => 0 pairs (X) / I9 = 1 => 0 pairs (_) E7,H7: 1.. / E7 = 1 => 0 pairs (*) / H7 = 1 => 0 pairs (X) D9,I9: 1.. / D9 = 1 => 0 pairs (X) / I9 = 1 => 0 pairs (_) D4,D9: 1.. / D4 = 1 => 0 pairs (*) / D9 = 1 => 0 pairs (X) E5,E7: 1.. / E5 = 1 => 0 pairs (X) / E7 = 1 => 0 pairs (_) I5,I9: 1.. / I5 = 1 => 0 pairs (X) / I9 = 1 => 0 pairs (_) E1,E2: 2.. / E1 = 2 => 0 pairs (X) / E2 = 2 => 13 pairs (_) G5,G6: 2.. / G5 = 2 => 15 pairs (_) / G6 = 2 => 19 pairs (_) B8,C8: 2.. / B8 = 2 => 15 pairs (_) / C8 = 2 => 13 pairs (_) G1,G3: 3.. / G1 = 3 => 13 pairs (_) / G3 = 3 => 0 pairs (X) H4,H6: 3.. / H4 = 3 => 15 pairs (_) / H6 = 3 => 15 pairs (_) A2,E2: 3.. / A2 = 3 => 13 pairs (_) / E2 = 3 => 0 pairs (X) G1,G3: 4.. / G1 = 4 => 0 pairs (X) / G3 = 4 => 13 pairs (_) A5,B5: 4.. / A5 = 4 => 14 pairs (_) / B5 = 4 => 14 pairs (_) A3,G3: 4.. / A3 = 4 => 0 pairs (X) / G3 = 4 => 13 pairs (_) B1,B5: 4.. / B1 = 4 => 14 pairs (_) / B5 = 4 => 14 pairs (_) G8,I9: 5.. / G8 = 5 => 0 pairs (*) / I9 = 5 => 0 pairs (X) B7,E7: 5.. / B7 = 5 => 17 pairs (_) / E7 = 5 => 0 pairs (X) F8,G8: 5.. / F8 = 5 => 0 pairs (X) / G8 = 5 => 0 pairs (_) C3,C6: 5.. / C3 = 5 => 17 pairs (_) / C6 = 5 => 0 pairs (X) I5,I9: 5.. / I5 = 5 => 0 pairs (*) / I9 = 5 => 0 pairs (X) A2,C2: 6.. / A2 = 6 => 0 pairs (X) / C2 = 6 => 14 pairs (_) F5,F6: 6.. / F5 = 6 => 15 pairs (_) / F6 = 6 => 19 pairs (_) A9,B9: 6.. / A9 = 6 => 16 pairs (_) / B9 = 6 => 15 pairs (_) C2,C6: 6.. / C2 = 6 => 14 pairs (_) / C6 = 6 => 0 pairs (X) D3,E3: 7.. / D3 = 7 => 19 pairs (_) / E3 = 7 => 0 pairs (X) H7,G8: 7.. / H7 = 7 => 0 pairs (*) / G8 = 7 => 0 pairs (X) F8,G8: 7.. / F8 = 7 => 0 pairs (*) / G8 = 7 => 0 pairs (X) * DURATION: 0:00:34.364445 START: 05:32:11.405634 END: 05:32:45.770079 2019-05-01 * CP COUNT: (32) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (B7,B8,C2,C3,C8,D3,E2,F8,G1,G3,G8,H7,I5,I9) * ..76.1.89.8.9.4157.9...8.62..9.826.4..83...9....49...88.42.39.69..86..43..3.4982. * PAIR C2: 2,6 BLK 1 A2: 2,6,3 # reduction candidate for 2,6 A2: 2,6 => CTR * ..7621.89.8.934157.91..8.62..95826.4..831..95..549...88.42.39169..86..43..3.4982. A2: 3 # 13 pairs * PAIR C2: 2,6 COL C C6: 2,6,1,5 # reduction candidate for 2,6 C6: 2,6 # 15 pairs C6: 1,5 # 13 pairs * PAIR C3: 1,5 BLK 1 A3: 1,5,3,4 # reduction candidate for 1,5 A3: 3,4 => CTR * ..76.1.89.869.4157.91..8.62..95826.4..831..95..549...88.42.391691286..43..3.4982. A3: 1,5 # 17 pairs * PAIR C3: 1,5 COL C C6: 1,5,2,6 # reduction candidate for 1,5 C6: 2,6 # 15 pairs C6: 1,5 # 13 pairs * PAIR E2: 2,3 BLK 2 E1: 2,3,5 # reduction candidate for 2,3 E1: 2,3 => CTR * ..76.1.89.8.9.4157.91..8.62..95826.4..831..95..549...88.42.39169..86..43..3.4982. E1: 5 # 17 pairs * PAIR E2: 2,3 ROW 2 A2: 2,3,6 # reduction candidate for 2,3 A2: 6 => CTR * ..7621.89682934157195..8.62..9.826.4..83...9...649...88.42.39.692186..43.63.4982. A2: 2,3 # 14 pairs * PAIR D3: 5,7 BLK 2 E3: 5,7,3 # reduction candidate for 5,7 E3: 5,7 => CTR * ..76.1.89.869.4157.91..8.62..95826.4..831..95..549...88.42.391691286..43..3.4982. E3: 3 # 17 pairs * PAIR D3: 5,7 COL D D4: 5,7,1 # reduction candidate for 5,7 D4: 5,7 => CTR * ..76.1.89.8.9.4157.9...8.62..9.826.4..831..95...49...88.42.39169..86..43..3.4982. D4: 1 => SOLVED * 247651389386924157195738462579182634418376295632495718854213976921867543763549821 D9: 5,7,1 # reduction candidate for 5,7 D9: 5,7 => SOLVED * 247651389386924157195738462579182634418376295632495718854213976921867543763549821 D9: 1 => CTR * ..76.1.89.8.9.4157.9...8.62..9.826.4..831..9....49...88.42.39.69..86..43..3149825 * PAIR G1: 3,4 ROW 1 A1: 3,4,2,5 # reduction candidate for 3,4 A1: 3,4 # 17 pairs B1: 3,4,2,5 # reduction candidate for 3,4 B1: 3,4 # 17 pairs * PAIR G3: 3,4 ROW 3 A3: 3,4,1,5 # reduction candidate for 3,4 A3: 3,4 => CTR * ..76.1.89.869.4157.91..8.62..95826.4..831..95..549...88.42.391691286..43..3.4982. A3: 1,5 # 17 pairs * PAIR I5: 1,5 ROW 5 A5: 1,5,2,4,6,7 # reduction candidate for 1,5 A5: 1,5 => CTR * ..76.1.89.8.9.4157.95738462..918263414837629....4957.88.42139769..867543..3549821 A5: 2,4,6,7 # 14 pairs B5: 1,5,2,4,6,7 # reduction candidate for 1,5 B5: 1,5 => SOLVED * 247651389386924157195738462579182634418376295632495718854213976921867543763549821 B5: 2,4,6,7 # 14 pairs E5: 1,5,7 # reduction candidate for 1,5 E5: 1,5 # 17 pairs * PAIR B7: 5,7 BLK 7 A9: 5,7,6 # reduction candidate for 5,7 A9: 5,7 # 15 pairs B9: 5,7,6 # reduction candidate for 5,7 B9: 5,7 # 16 pairs * PAIR B7: 5,7 ROW 7 E7: 5,7,1 # reduction candidate for 5,7 E7: 5,7 => CTR * ..76.1.89.8.9.4157.9...8.62..9.826.4..831..95...49...88.42.39169..86..43..3.4982. E7: 1 => SOLVED * 247651389386924157195738462579182634418376295632495718854213976921867543763549821 * PAIR B7: 5,7 COL B B4: 5,7,1,3 # reduction candidate for 5,7 B4: 5,7 # 16 pairs B5: 5,7,1,2,4,6 # reduction candidate for 5,7 B5: 5,7 => CTR * 2476513893869241571957384625.91826744.83.629....49...88.42.39.69..86..43763.4982. B5: 1,2,4,6 # 14 pairs B6: 5,7,1,2,3,6 # reduction candidate for 5,7 B6: 5,7 # 17 pairs * PAIR B8: 1,2 COL B B5: 1,2,4,5,6,7 # reduction candidate for 1,2 B5: 1,2 # 16 pairs B6: 1,2,3,5,6,7 # reduction candidate for 1,2 B6: 1,2 # 15 pairs * PAIR C8: 1,2 COL C C6: 1,2,5,6 # reduction candidate for 1,2 C6: 1,2 # 17 pairs C6: 5,6 # 15 pairs * PAIR F8: 5,7 BLK 8 E7: 5,7,1 # reduction candidate for 5,7 E7: 5,7 => CTR * ..76.1.89.8.9.4157.9...8.62..9.826.4..831..95...49...88.42.39169..86..43..3.4982. E7: 1 => SOLVED * 247651389386924157195738462579182634418376295632495718854213976921867543763549821 D9: 5,7,1 # reduction candidate for 5,7 D9: 5,7 => SOLVED * 247651389386924157195738462579182634418376295632495718854213976921867543763549821 D9: 1 => CTR * ..76.1.89.8.9.4157.9...8.62..9.826.4..831..9....49...88.42.39.69..86..43..3149825 * PAIR F8: 5,7 COL F F5: 5,7,6 # reduction candidate for 5,7 F5: 5,7 # 19 pairs F6: 5,7,6 # reduction candidate for 5,7 F6: 5,7 # 15 pairs * PAIR H7: 1,7 ROW 7 E7: 1,7,5 # reduction candidate for 1,7 E7: 5 => CTR * ..76.1.89.8.9.4157.9...8.62..9.826.4..831..95...49...88.42539169..86..43..3.4982. E7: 1,7 # 17 pairs * PAIR H7: 1,7 COL H H4: 1,7,3 # reduction candidate for 1,7 H4: 1,7 # 15 pairs H6: 1,7,3 # reduction candidate for 1,7 H6: 1,7 # 15 pairs * PAIR G8: 5,7 COL G G5: 5,7,2 # reduction candidate for 5,7 G5: 5,7 # 19 pairs G6: 5,7,2 # reduction candidate for 5,7 G6: 5,7 # 15 pairs * PAIR I9: 1,5 ROW 9 D9: 1,5,7 # reduction candidate for 1,5 D9: 7 => CTR * ..76.1.89.8.9.4157.9...8.62..91826.4..83...9....49...88.42139769..86..43..3.4982. D9: 1,5 # 17 pairs * INCONCLUSIVE * SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20190423-absurd-base-pr-000.dot * REASONING * DIS # A2: 2,6 => CTR => A2: 3 * DIS # A3: 3,4 => CTR => A3: 1,5 * DIS # E1: 2,3 => CTR => E1: 5 * DIS # A2: 6 => CTR => A2: 2,3 * DIS # E3: 5,7 => CTR => E3: 3 * DIS # D4: 5,7 => CTR => D4: 1 * PRF # D4: 1 => SOL * PRF # D9: 5,7 => SOL * DIS # D9: 1 => CTR => D9: 5,7 * DIS # A3: 3,4 => CTR => A3: 1,5 * DIS # A5: 1,5 => CTR => A5: 2,4,6,7 * PRF # B5: 1,5 => SOL * DIS # E7: 5,7 => CTR => E7: 1 * PRF # E7: 1 => SOL * DIS # B5: 5,7 => CTR => B5: 1,2,4,6 * DIS # E7: 5,7 => CTR => E7: 1 * PRF # E7: 1 => SOL * PRF # D9: 5,7 => SOL * DIS # D9: 1 => CTR => D9: 5,7 * DIS # E7: 5 => CTR => E7: 1,7 * DIS # D9: 7 => CTR => D9: 1,5 * CNT 21 HDP CHAINS / 53 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (B7,B8,C2,C3,C8,D3,E2,F8,G1,G3,G8,H7,I5,I9) * ..76.1.89.8.9.4157.9...8.62..9.826.4..83...9....49...88.42.39.69..86..43..3.4982. * PAIR C2: 2,6 BLK 1 A2: 2,6,3 # reduction candidate for 2,6 A2: 2,6 => CTR * ..7621.89.8.934157.91..8.62..95826.4..831..95..549...88.42.39169..86..43..3.4982. * PAIR C3: 1,5 BLK 1 A3: 1,5,4 # reduction candidate for 1,5 A3: 4 => CTR * ..7631489386924157491..8362..95826.4.4831..95..549...88.42.391691286..43..3.4982. * PAIR C3: 1,5 COL C C6: 1,5,2 # reduction candidate for 1,5 C6: 1,5 # 17 pairs C6: 2 # 15 pairs * PAIR I5: 1,5 ROW 5 A5: 1,5,2,4,6,7 # reduction candidate for 1,5 A5: 1,5 => CTR * 427651389386924157.9.738462739582614.483.629.26.49..388542.39.691286..43673.4982. * PAIR RESTART * PAIR B8: 1,2 COL B B5: 1,2,4,6,7 # reduction candidate for 1,2 B5: 1,2 # 19 pairs B6: 1,2,3,6,7 # reduction candidate for 1,2 B6: 1,2 # 20 pairs * PAIR C8: 1,2 COL C C6: 1,2,5 # reduction candidate for 1,2 C6: 5 => CTR * ..7651389386924157591738462..95826.4..831..95..549...88542.39.69.286..43..3.4982. * PAIR RESTART * PAIR F8: 5,7 COL F F5: 5,7,6 # reduction candidate for 5,7 F5: 5,7 # 21 pairs F6: 5,7,6 # reduction candidate for 5,7 F6: 5,7 # 19 pairs * PAIR H7: 1,7 COL H H4: 1,7,3 # reduction candidate for 1,7 H4: 1,7 # 18 pairs H6: 1,7,3 # reduction candidate for 1,7 H6: 1,7 # 19 pairs * PAIR G8: 5,7 COL G G5: 5,7,2 # reduction candidate for 5,7 G5: 5,7 # 20 pairs G6: 5,7,2 # reduction candidate for 5,7 G6: 5,7 # 18 pairs * LEVEL 0 PASS 1 ROUND 2 (AUTO SOLVE) (A1,A4,A9,B1,B8,B9,C6,C8,D4,D9,E5,E7,F8,G8,H7,I5,I9) * ..7651389386924157195738462..9.826.4..83...9....49...88542.39.69..86..43..3.4982. * PAIR A1: 2,4 COL A A5: 2,4,6,7 # reduction candidate for 2,4 A5: 6,7 => CTR * 4276513893869241571957384625.91826.4.4837.2912.149.5.88542139.691286..43..3.4982. * PAIR RESTART * PAIR B1: 2,4 COL B B5: 2,4,1,6,7 # reduction candidate for 2,4 B5: 2,4 # 20 pairs B5: 1,6,7 # 17 pairs * PAIR A4: 5,7 BLK 4 A6: 5,7,6 # reduction candidate for 5,7 A6: 6 => SOLVED * 247651389386924157195738462579182634418376295632495718854213976921867543763549821 * DURATION: 0:00:18.466009 START: 05:33:18.460866 END: 05:33:36.926875 2019-05-01 * SOLUTION FOUND * SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20190423-absurd-base-pr-001.dot * REASONING * DIS # A2: 2,6 => CTR => A2: 3 * DIS A2: 3 # A3: 4 => CTR => A3: 1,5 * DIS A2: 3 + A3: 1,5 # A5: 1,5 => CTR => A5: 2,4,6,7 * DIS A2: 3 + A3: 1,5 + A5: 2,4,6,7 # C6: 5 => CTR => C6: 1,2 * DIS A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # A5: 6,7 => CTR => A5: 2,4 * PRF A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 # A6: 6 => SOL * STA A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 + A6: 6 * CNT 6 HDP CHAINS / 22 HYP OPENED
Header Info
http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Apr&YEAR=2019, 20190423, absurd
Solution
position: 247651389386924157195738462579182634418376295632495718854213976921867543763549821 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 # A2: 2,6 => CTR => A2: 3 * INC # A2: 3 => UNS * INC # C6: 2,6 => UNS * INC # C6: 1,5 => UNS * INC # A3: 1,5 => UNS * DIS # A3: 3,4 => CTR => A3: 1,5 * INC # C6: 1,5 => UNS * INC # C6: 2,6 => UNS * DIS # E1: 2,3 => CTR => E1: 5 * INC # E1: 5 => UNS * INC # A2: 2,3 => UNS * DIS # A2: 6 => CTR => A2: 2,3 * DIS # E3: 5,7 => CTR => E3: 3 * INC # E3: 3 => UNS * DIS # D4: 5,7 => CTR => D4: 1 * PRF # D4: 1 => SOL * PRF # D9: 5,7 => SOL * DIS # D9: 1 => CTR => D9: 5,7 * INC # A1: 3,4 => UNS * INC # B1: 3,4 => UNS * DIS # A3: 3,4 => CTR => A3: 1,5 * INC # A3: 1,5 => UNS * DIS # A5: 1,5 => CTR => A5: 2,4,6,7 * INC # A5: 2,4,6,7 => UNS * PRF # B5: 1,5 => SOL * INC # B5: 2,4,6,7 => UNS * INC # E5: 1,5 => UNS * INC # A9: 5,7 => UNS * INC # B9: 5,7 => UNS * DIS # E7: 5,7 => CTR => E7: 1 * PRF # E7: 1 => SOL * INC # B4: 5,7 => UNS * DIS # B5: 5,7 => CTR => B5: 1,2,4,6 * INC # B5: 1,2,4,6 => UNS * INC # B6: 5,7 => UNS * INC # B5: 1,2 => UNS * INC # B6: 1,2 => UNS * INC # C6: 1,2 => UNS * INC # C6: 5,6 => UNS * DIS # E7: 5,7 => CTR => E7: 1 * PRF # E7: 1 => SOL * PRF # D9: 5,7 => SOL * DIS # D9: 1 => CTR => D9: 5,7 * INC # F5: 5,7 => UNS * INC # F6: 5,7 => UNS * INC # E7: 1,7 => UNS * DIS # E7: 5 => CTR => E7: 1,7 * INC # H4: 1,7 => UNS * INC # H6: 1,7 => UNS * INC # G5: 5,7 => UNS * INC # G6: 5,7 => UNS * INC # D9: 1,5 => UNS * DIS # D9: 7 => CTR => D9: 1,5 * CNT 53 HDP CHAINS / 53 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # A2: 2,6 => CTR => A2: 3 * INC A2: 3 # A3: 1,5 => UNS * DIS A2: 3 # A3: 4 => CTR => A3: 1,5 * INC A2: 3 + A3: 1,5 # C6: 1,5 => UNS * INC A2: 3 + A3: 1,5 # C6: 2 => UNS * DIS A2: 3 + A3: 1,5 # A5: 1,5 => CTR => A5: 2,4,6,7 * INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 # B5: 1,2 => UNS * INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 # B6: 1,2 => UNS * INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 # C6: 1,2 => UNS * DIS A2: 3 + A3: 1,5 + A5: 2,4,6,7 # C6: 5 => CTR => C6: 1,2 * INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # F5: 5,7 => UNS * INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # F6: 5,7 => UNS * INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # H4: 1,7 => UNS * INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # H6: 1,7 => UNS * INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # G5: 5,7 => UNS * INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # G6: 5,7 => UNS * INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # A5: 2,4 => UNS * DIS A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 # A5: 6,7 => CTR => A5: 2,4 * INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 # B5: 2,4 => UNS * INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 # B5: 1,6,7 => UNS * INC A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 # A6: 5,7 => UNS * PRF A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 # A6: 6 => SOL * STA A2: 3 + A3: 1,5 + A5: 2,4,6,7 + C6: 1,2 + A5: 2,4 + A6: 6 * CNT 22 HDP CHAINS / 22 HYP OPENED