Analysis of zz-www.sudokuoftheday.co.uk-20060702-absurd-base.sdk
Contents
Sudoku from http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Jul&YEAR=2006
level: medium
position: ....1.9.8....3....1.87..4...1.9.....4.6..58....9.....75....3...8421..7.9.......5. initial
Autosolve
position: ...51.978....3..151587..4.3.159..3..4.6..5891.89..15.75....3.8.842156739.......5. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # D2: 2,4 => CTR => D2: 6,8 * DIS # F9: 2,4 => CTR => F9: 7,8,9 * DIS # F9: 2,9 => CTR => F9: 4,7,8 * DIS # E3: 9 => CTR => E3: 2,6 * DIS # B5: 3 => CTR => B5: 2,7 * DIS # E4: 2,7 => CTR => E4: 4,6,8 * DIS # B5: 7 => CTR => B5: 2,3 * DIS # D6: 2,3 => CTR => D6: 4,6 * DIS # D6: 2,3 => CTR => D6: 4,6 * DIS # B5: 7 => CTR => B5: 2,3 * DIS # E4: 2,7 => CTR => E4: 4,6,8 * DIS # B5: 3 => CTR => B5: 2,7 * DIS # E4: 2,6 => CTR => E4: 4,7,8 * PRF # C9: 3 => SOL * DIS # E7: 2,4 => CTR => E7: 7,9 * DIS # F9: 2,4 => CTR => F9: 7,8,9 * DIS # D2: 2,4 => CTR => D2: 6,8 * CNT 17 HDP CHAINS / 61 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # D2: 2,4 => CTR => D2: 6,8 * DIS D2: 6,8 # F9: 2,9 => CTR => F9: 7,8 * DIS D2: 6,8 + F9: 7,8 # B5: 3 => CTR => B5: 2,7 * DIS D2: 6,8 + F9: 7,8 + B5: 2,7 # E4: 2,7 => CTR => E4: 4,6,8 * DIS D2: 6,8 + F9: 7,8 + B5: 2,7 + E4: 4,6,8 # F4: 2,7 => CTR => F4: 8 * PRF D2: 6,8 + F9: 7,8 + B5: 2,7 + E4: 4,6,8 + F4: 8 # B9: 3,6 => SOL * STA D2: 6,8 + F9: 7,8 + B5: 2,7 + E4: 4,6,8 + F4: 8 + B9: 3,6 * CNT 6 HDP CHAINS / 16 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ....1.9.8....3....1.87..4...1.9.....4.6..58....9.....75....3...8421..7.9.......5. | initial |
| ...51.978....3..151587..4.3.159..3..4.6..5891.89..15.75....3.8.842156739.......5. | autosolve |
| 634512978297834615158769423715948362426375891389621547571493286842156739963287154 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (13) C1: 3,4 C2: 4,7 F1: 2,4 F3: 2,9 G2: 2,6 H3: 2,6 A4: 2,7 A6: 2,3 D5: 2,3 E5: 2,7 I4: 2,6 C7: 1,7 D7: 2,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C7,C9: 1.. / C7 = 1 => 17 pairs (_) / C9 = 1 => 16 pairs (_) G7,G9: 1.. / G7 = 1 => 16 pairs (_) / G9 = 1 => 17 pairs (_) C7,G7: 1.. / C7 = 1 => 17 pairs (_) / G7 = 1 => 16 pairs (_) C9,G9: 1.. / C9 = 1 => 16 pairs (_) / G9 = 1 => 17 pairs (_) G2,H3: 2.. / G2 = 2 => 18 pairs (_) / H3 = 2 => 19 pairs (_) B5,A6: 3.. / B5 = 3 => 0 pairs (X) / A6 = 3 => 13 pairs (_) D5,D6: 3.. / D5 = 3 => 13 pairs (_) / D6 = 3 => 0 pairs (X) B5,D5: 3.. / B5 = 3 => 0 pairs (X) / D5 = 3 => 13 pairs (_) A6,D6: 3.. / A6 = 3 => 13 pairs (_) / D6 = 3 => 0 pairs (X) C1,C9: 3.. / C1 = 3 => 17 pairs (_) / C9 = 3 => 0 pairs (*) C1,C2: 4.. / C1 = 4 => 0 pairs (*) / C2 = 4 => 0 pairs (X) H4,H6: 4.. / H4 = 4 => 14 pairs (_) / H6 = 4 => 19 pairs (_) I7,I9: 4.. / I7 = 4 => 17 pairs (_) / I9 = 4 => 15 pairs (_) C1,F1: 4.. / C1 = 4 => 0 pairs (*) / F1 = 4 => 0 pairs (X) A1,B1: 6.. / A1 = 6 => 14 pairs (_) / B1 = 6 => 19 pairs (_) D2,E3: 6.. / D2 = 6 => 18 pairs (_) / E3 = 6 => 19 pairs (_) G2,H3: 6.. / G2 = 6 => 19 pairs (_) / H3 = 6 => 18 pairs (_) D2,G2: 6.. / D2 = 6 => 18 pairs (_) / G2 = 6 => 19 pairs (_) E3,H3: 6.. / E3 = 6 => 19 pairs (_) / H3 = 6 => 18 pairs (_) A1,A9: 6.. / A1 = 6 => 14 pairs (_) / A9 = 6 => 19 pairs (_) D2,D6: 6.. / D2 = 6 => 18 pairs (_) / D6 = 6 => 19 pairs (_) A4,B5: 7.. / A4 = 7 => 14 pairs (_) / B5 = 7 => 0 pairs (X) B5,E5: 7.. / B5 = 7 => 0 pairs (X) / E5 = 7 => 14 pairs (_) F4,F9: 7.. / F4 = 7 => 0 pairs (X) / F9 = 7 => 14 pairs (_) D2,F2: 8.. / D2 = 8 => 18 pairs (_) / F2 = 8 => 14 pairs (_) E4,F4: 8.. / E4 = 8 => 14 pairs (_) / F4 = 8 => 18 pairs (_) D2,D9: 8.. / D2 = 8 => 18 pairs (_) / D9 = 8 => 14 pairs (_) E4,E9: 8.. / E4 = 8 => 14 pairs (_) / E9 = 8 => 18 pairs (_) A2,B2: 9.. / A2 = 9 => 14 pairs (_) / B2 = 9 => 17 pairs (_) E3,F3: 9.. / E3 = 9 => 0 pairs (X) / F3 = 9 => 13 pairs (_) B7,E7: 9.. / B7 = 9 => 16 pairs (_) / E7 = 9 => 15 pairs (_) A2,A9: 9.. / A2 = 9 => 14 pairs (_) / A9 = 9 => 17 pairs (_) F3,F9: 9.. / F3 = 9 => 13 pairs (_) / F9 = 9 => 0 pairs (X) * DURATION: 0:00:39.839359 START: 00:16:13.658043 END: 00:16:53.497402 2019-05-01 * CP COUNT: (33) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A4,A6,C1,C2,C7,D5,D7,E5,F1,F3,G2,H3,I4) * ...51.978....3..151587..4.3.159..3..4.6..5891.89..15.75....3.8.842156739.......5. * PAIR F1: 2,4 BLK 2 D2: 2,4,6,8 # reduction candidate for 2,4 D2: 2,4 => CTR * ..4512978297.386151587694237159843624.63758913896215475....3.8.842156739...8.725. D2: 6,8 # 14 pairs F2: 2,4,8 # reduction candidate for 2,4 F2: 2,4 # 18 pairs * PAIR F1: 2,4 COL F F4: 2,4,7,8 # reduction candidate for 2,4 F4: 2,4 # 16 pairs F9: 2,4,7,8,9 # reduction candidate for 2,4 F9: 2,4 => CTR * ...51.978....3..151587.94.3.159.73..476325891389..15275....3.8.842156739.......5. F9: 7,8,9 # 13 pairs * PAIR F3: 2,9 BLK 2 E3: 2,9,6 # reduction candidate for 2,9 E3: 6 # 19 pairs E3: 2,9 # 18 pairs * PAIR F3: 2,9 COL F F9: 2,9,4,7,8 # reduction candidate for 2,9 F9: 2,9 => CTR * 6235149789...382151587.2463215987346476325891389.615275....3.8.842156739...8.9.52 F9: 4,7,8 # 13 pairs * PAIR G2: 2,6 ROW 2 D2: 2,6,4,8 # reduction candidate for 2,6 D2: 4,8 # 19 pairs D2: 2,6 # 18 pairs * PAIR G2: 2,6 COL G G7: 2,6,1 # reduction candidate for 2,6 G7: 2,6 # 17 pairs G9: 2,6,1 # reduction candidate for 2,6 G9: 2,6 # 16 pairs * PAIR H3: 2,6 ROW 3 E3: 2,6,9 # reduction candidate for 2,6 E3: 9 => CTR * ...51497897463821515879246371598.3.64.6..5891.89.615.759...368.842156739...8.915. E3: 2,6 # 13 pairs * PAIR H3: 2,6 COL H H4: 2,6,4 # reduction candidate for 2,6 H4: 2,6 # 19 pairs H6: 2,6,4 # reduction candidate for 2,6 H6: 2,6 # 14 pairs * PAIR A4: 2,7 BLK 4 B5: 2,7,3 # reduction candidate for 2,7 B5: 3 => CTR * ...51.9789..6382151587.94637159843..4362758912893.15.75..4.3.8.842156739...8.7.54 B5: 2,7 # 13 pairs * PAIR A4: 2,7 ROW 4 E4: 2,7,4,6,8 # reduction candidate for 2,7 E4: 2,7 => CTR * ...51.978...83..151587..4.3.159.83464.6..5891.89..15275....3.8.842156739....87.5. E4: 4,6,8 # 13 pairs F4: 2,7,4,8 # reduction candidate for 2,7 F4: 2,7 # 18 pairs * PAIR A4: 2,7 COL A A2: 2,7,9 # reduction candidate for 2,7 A2: 2,7 # 17 pairs A2: 9 # 14 pairs * PAIR A6: 2,3 BLK 4 B5: 2,3,7 # reduction candidate for 2,3 B5: 7 => CTR * 6235149789...3.2151587.24632159..346476325891389.615275....3.8.842156739.....9.5. B5: 2,3 # 14 pairs * PAIR A6: 2,3 ROW 6 D6: 2,3,4,6 # reduction candidate for 2,3 D6: 2,3 => CTR * ...514978..46382151587..463.1598.3264.6..5891.89.615475..4.3.82842156739...8...54 D6: 4,6 # 14 pairs * PAIR A6: 2,3 COL A A1: 2,3,6 # reduction candidate for 2,3 A1: 2,3 # 19 pairs A1: 6 # 14 pairs * PAIR D5: 2,3 BLK 5 D6: 2,3,4,6 # reduction candidate for 2,3 D6: 2,3 => CTR * ...514978..46382151587..463.1598.3264.6..5891.89.615475..4.3.82842156739...8...54 D6: 4,6 # 14 pairs * PAIR D5: 2,3 ROW 5 B5: 2,3,7 # reduction candidate for 2,3 B5: 7 => CTR * 6235149789...3.2151587.24632159..346476325891389.615275....3.8.842156739.....9.5. B5: 2,3 # 14 pairs * PAIR E5: 2,7 BLK 5 E4: 2,7,4,6,8 # reduction candidate for 2,7 E4: 2,7 => CTR * ...51.978...83..151587..4.3.159.83464.6..5891.89..15275....3.8.842156739....87.5. E4: 4,6,8 # 13 pairs F4: 2,7,4,8 # reduction candidate for 2,7 F4: 2,7 # 18 pairs * PAIR E5: 2,7 ROW 5 B5: 2,7,3 # reduction candidate for 2,7 B5: 3 => CTR * ...51.9789..6382151587.94637159843..4362758912893.15.75..4.3.8.842156739...8.7.54 B5: 2,7 # 13 pairs * PAIR E5: 2,7 COL E E7: 2,7,4,9 # reduction candidate for 2,7 E7: 2,7 # 19 pairs E9: 2,7,4,8,9 # reduction candidate for 2,7 E9: 2,7 # 19 pairs * PAIR I4: 2,6 BLK 6 H4: 2,6,4 # reduction candidate for 2,6 H4: 2,6 # 19 pairs H6: 2,6,4 # reduction candidate for 2,6 H6: 2,6 # 14 pairs * PAIR I4: 2,6 ROW 4 E4: 2,6,4,7,8 # reduction candidate for 2,6 E4: 2,6 => CTR * ...51.978...83.6151587694237159.834.4.6.75891.89..15.75....3.8.842156739....87.5. E4: 4,7,8 # 14 pairs * PAIR I4: 2,6 COL I I7: 2,6,4 # reduction candidate for 2,6 I7: 2,6 # 15 pairs I9: 2,6,4 # reduction candidate for 2,6 I9: 2,6 # 17 pairs * PAIR C7: 1,7 BLK 7 C9: 1,7,3 # reduction candidate for 1,7 C9: 3 => SOLVED * 634512978297834615158769423715948362426375891389621547571493286842156739963287154 C9: 1,7 # 17 pairs * PAIR D7: 2,4 BLK 8 E7: 2,4,7,9 # reduction candidate for 2,4 E7: 2,4 => CTR * ..3514978974.3.6151587694237159..3624.6.75891.896.1547597423186842156739..1...254 E7: 7,9 # 14 pairs D9: 2,4,8 # reduction candidate for 2,4 D9: 2,4 # 18 pairs E9: 2,4,7,8,9 # reduction candidate for 2,4 E9: 2,4 # 17 pairs F9: 2,4,7,8,9 # reduction candidate for 2,4 F9: 2,4 => CTR * ...51.978....3..151587.94.3.159.73..476325891389..15275....3.8.842156739.......5. F9: 7,8,9 # 13 pairs * PAIR D7: 2,4 ROW 7 I7: 2,4,6 # reduction candidate for 2,4 I7: 6 # 21 pairs I7: 2,4 # 16 pairs * PAIR D7: 2,4 COL D D2: 2,4,6,8 # reduction candidate for 2,4 D2: 2,4 => CTR * ..4512978297.386151587694237159843624.63758913896215475....3.8.842156739...8.725. D2: 6,8 # 14 pairs D6: 2,4,3,6 # reduction candidate for 2,4 D6: 2,4 # 18 pairs * INCONCLUSIVE * SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20060702-absurd-base-pr-000.dot * REASONING * DIS # D2: 2,4 => CTR => D2: 6,8 * DIS # F9: 2,4 => CTR => F9: 7,8,9 * DIS # F9: 2,9 => CTR => F9: 4,7,8 * DIS # E3: 9 => CTR => E3: 2,6 * DIS # B5: 3 => CTR => B5: 2,7 * DIS # E4: 2,7 => CTR => E4: 4,6,8 * DIS # B5: 7 => CTR => B5: 2,3 * DIS # D6: 2,3 => CTR => D6: 4,6 * DIS # D6: 2,3 => CTR => D6: 4,6 * DIS # B5: 7 => CTR => B5: 2,3 * DIS # E4: 2,7 => CTR => E4: 4,6,8 * DIS # B5: 3 => CTR => B5: 2,7 * DIS # E4: 2,6 => CTR => E4: 4,7,8 * PRF # C9: 3 => SOL * DIS # E7: 2,4 => CTR => E7: 7,9 * DIS # F9: 2,4 => CTR => F9: 7,8,9 * DIS # D2: 2,4 => CTR => D2: 6,8 * CNT 17 HDP CHAINS / 61 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A4,A6,C1,C2,C7,D5,D7,E5,F1,F3,G2,H3,I4) * ...51.978....3..151587..4.3.159..3..4.6..5891.89..15.75....3.8.842156739.......5. * PAIR F1: 2,4 BLK 2 D2: 2,4,6,8 # reduction candidate for 2,4 D2: 2,4 => CTR * ..4512978297.386151587694237159843624.63758913896215475....3.8.842156739...8.725. F2: 2,4,8 # reduction candidate for 2,4 F2: 2,4 # 18 pairs * RESTART * PAIR F1: 2,4 BLK 2 F2: 2,4,8 # reduction candidate for 2,4 F2: 8 # 18 pairs F2: 2,4 # 18 pairs * PAIR F3: 2,9 BLK 2 E3: 2,9,6 # reduction candidate for 2,9 E3: 6 # 18 pairs E3: 2,9 # 18 pairs * PAIR F3: 2,9 COL F F9: 2,9,7,8 # reduction candidate for 2,9 F9: 2,9 => CTR * 6235149789...382151587.2463215987346476325891389.615275....3.8.842156739...8.9.52 * PAIR RESTART * PAIR G2: 2,6 COL G G7: 2,6,1 # reduction candidate for 2,6 G7: 2,6 # 19 pairs G9: 2,6,1 # reduction candidate for 2,6 G9: 2,6 # 18 pairs * PAIR H3: 2,6 COL H H4: 2,6,4 # reduction candidate for 2,6 H4: 2,6 # 18 pairs H6: 2,6,4 # reduction candidate for 2,6 H6: 2,6 # 16 pairs * PAIR A4: 2,7 BLK 4 B5: 2,7,3 # reduction candidate for 2,7 B5: 3 => CTR * ...51.9789..638.151587.94.37159..3..4362758912893.15.75..4.3.8.842156739...8.7.54 * PAIR A4: 2,7 ROW 4 E4: 2,7,4,6,8 # reduction candidate for 2,7 E4: 2,7 => CTR * ...51.978...83..151587.94.3.159.83464.63.5891389..15275....3.8.842156739....87.5. F4: 2,7,8 # reduction candidate for 2,7 F4: 2,7 => CTR * 263514978..46382151587294637159823464263758913894615275.72.3.8.842156739.....7.5. * PAIR RESTART * LEVEL 0 PASS 1 ROUND 2 (AUTO SOLVE) (A1,A2,A9,B1,B2,B7,C1,C2,C7,C9,D7,D9,F1,F2,G7,G9,I7,I9) * ...51.978...83.6151587694237159483624263758913896215475...93.8.842156739....87.5. * PAIR B1: 3,6 COL B B9: 3,6,9 # reduction candidate for 3,6 B9: 3,6 => SOLVED * 634512978297834615158769423715948362426375891389621547571493286842156739963287154 * DURATION: 0:00:13.591211 START: 00:17:31.431497 END: 00:17:45.022708 2019-05-01 * SOLUTION FOUND * SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20060702-absurd-base-pr-001.dot * REASONING * DIS # D2: 2,4 => CTR => D2: 6,8 * DIS D2: 6,8 # F9: 2,9 => CTR => F9: 7,8 * DIS D2: 6,8 + F9: 7,8 # B5: 3 => CTR => B5: 2,7 * DIS D2: 6,8 + F9: 7,8 + B5: 2,7 # E4: 2,7 => CTR => E4: 4,6,8 * DIS D2: 6,8 + F9: 7,8 + B5: 2,7 + E4: 4,6,8 # F4: 2,7 => CTR => F4: 8 * PRF D2: 6,8 + F9: 7,8 + B5: 2,7 + E4: 4,6,8 + F4: 8 # B9: 3,6 => SOL * STA D2: 6,8 + F9: 7,8 + B5: 2,7 + E4: 4,6,8 + F4: 8 + B9: 3,6 * CNT 6 HDP CHAINS / 16 HYP OPENED
Header Info
http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Jul&YEAR=2006, 20060702, absurd
Solution
position: 634512978297834615158769423715948362426375891389621547571493286842156739963287154 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 # D2: 2,4 => CTR => D2: 6,8 * INC # D2: 6,8 => UNS * INC # F2: 2,4 => UNS * INC # F4: 2,4 => UNS * DIS # F9: 2,4 => CTR => F9: 7,8,9 * INC # F9: 7,8,9 => UNS * INC # E3: 2,9 => UNS * INC # E3: 6 => UNS * DIS # F9: 2,9 => CTR => F9: 4,7,8 * INC # F9: 4,7,8 => UNS * INC # D2: 2,6 => UNS * INC # D2: 4,8 => UNS * INC # G7: 2,6 => UNS * INC # G9: 2,6 => UNS * INC # E3: 2,6 => UNS * DIS # E3: 9 => CTR => E3: 2,6 * INC # H4: 2,6 => UNS * INC # H6: 2,6 => UNS * INC # B5: 2,7 => UNS * DIS # B5: 3 => CTR => B5: 2,7 * DIS # E4: 2,7 => CTR => E4: 4,6,8 * INC # E4: 4,6,8 => UNS * INC # F4: 2,7 => UNS * INC # A2: 2,7 => UNS * INC # A2: 9 => UNS * INC # B5: 2,3 => UNS * DIS # B5: 7 => CTR => B5: 2,3 * DIS # D6: 2,3 => CTR => D6: 4,6 * INC # D6: 4,6 => UNS * INC # A1: 2,3 => UNS * INC # A1: 6 => UNS * DIS # D6: 2,3 => CTR => D6: 4,6 * INC # D6: 4,6 => UNS * INC # B5: 2,3 => UNS * DIS # B5: 7 => CTR => B5: 2,3 * DIS # E4: 2,7 => CTR => E4: 4,6,8 * INC # E4: 4,6,8 => UNS * INC # F4: 2,7 => UNS * INC # B5: 2,7 => UNS * DIS # B5: 3 => CTR => B5: 2,7 * INC # E7: 2,7 => UNS * INC # E9: 2,7 => UNS * INC # H4: 2,6 => UNS * INC # H6: 2,6 => UNS * DIS # E4: 2,6 => CTR => E4: 4,7,8 * INC # E4: 4,7,8 => UNS * INC # I7: 2,6 => UNS * INC # I9: 2,6 => UNS * INC # C9: 1,7 => UNS * PRF # C9: 3 => SOL * DIS # E7: 2,4 => CTR => E7: 7,9 * INC # E7: 7,9 => UNS * INC # D9: 2,4 => UNS * INC # E9: 2,4 => UNS * DIS # F9: 2,4 => CTR => F9: 7,8,9 * INC # F9: 7,8,9 => UNS * INC # I7: 2,4 => UNS * INC # I7: 6 => UNS * DIS # D2: 2,4 => CTR => D2: 6,8 * INC # D2: 6,8 => UNS * INC # D6: 2,4 => UNS * CNT 61 HDP CHAINS / 61 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # D2: 2,4 => CTR => D2: 6,8 * INC D2: 6,8 # F2: 2,4 => UNS * INC D2: 6,8 # F2: 2,4 => UNS * INC D2: 6,8 # F2: 8 => UNS * INC D2: 6,8 # E3: 2,9 => UNS * INC D2: 6,8 # E3: 6 => UNS * DIS D2: 6,8 # F9: 2,9 => CTR => F9: 7,8 * INC D2: 6,8 + F9: 7,8 # G7: 2,6 => UNS * INC D2: 6,8 + F9: 7,8 # G9: 2,6 => UNS * INC D2: 6,8 + F9: 7,8 # H4: 2,6 => UNS * INC D2: 6,8 + F9: 7,8 # H6: 2,6 => UNS * INC D2: 6,8 + F9: 7,8 # B5: 2,7 => UNS * DIS D2: 6,8 + F9: 7,8 # B5: 3 => CTR => B5: 2,7 * DIS D2: 6,8 + F9: 7,8 + B5: 2,7 # E4: 2,7 => CTR => E4: 4,6,8 * DIS D2: 6,8 + F9: 7,8 + B5: 2,7 + E4: 4,6,8 # F4: 2,7 => CTR => F4: 8 * PRF D2: 6,8 + F9: 7,8 + B5: 2,7 + E4: 4,6,8 + F4: 8 # B9: 3,6 => SOL * STA D2: 6,8 + F9: 7,8 + B5: 2,7 + E4: 4,6,8 + F4: 8 + B9: 3,6 * CNT 16 HDP CHAINS / 16 HYP OPENED