Analysis of zz-www.sudokuoftheday.co.uk-20060401-absurd-base.sdk
Contents
Sudoku from http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Apr&YEAR=2006
level: medium
position: ........5...8....758...92.67.41.....8.957.34.....9.7...2..6.1.....9.8...9.1...... initial
Autosolve
position: ........5...8....758...92167.418....8.957.34.....9.7...28.6.1.....918...9.1...... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # B1: 3,7 => CTR => B1: 1,4,6,9 * DIS # C8: 3,7 => CTR => C8: 5,6 * DIS # D1: 2,3 => CTR => D1: 6,7 * DIS # E2: 2,3 => CTR => E2: 5 * DIS # A1: 2,3 => CTR => A1: 1,4,6 * PRF # D3: 7 => SOL * DIS # E9: 2,5 => CTR => E9: 3,4 * DIS # G1: 4,9 => CTR => G1: 8 * PRF # G1: 8 => SOL * DIS # B2: 1,3,6 => CTR => B2: 4,9 * PRF # H1: 3,9 => SOL * DIS # H1: 8 => CTR => H1: 3,9 * DIS # A6: 1,6 => CTR => A6: 2,3 * DIS # B1: 1,6 => CTR => B1: 3,4,7,9 * DIS # B2: 1,6 => CTR => B2: 3,4,9 * DIS # F4: 3 => CTR => F4: 2,6 * DIS # H4: 2,9 => CTR => H4: 5,6 * DIS # B8: 3,4 => CTR => B8: 5,6,7 * DIS # B9: 3,4 => CTR => B9: 5,6,7 * PRF # D7: 3,4 => SOL * DIS # F7: 3,4 => CTR => F7: 5,7 * DIS # I7: 3,4 => CTR => I7: 9 * PRF # I7: 9 => SOL * DIS # A1: 3,4 => CTR => A1: 1,2,6 * DIS # A2: 3,4 => CTR => A2: 1,2,6 * DIS # H8: 5,6 => CTR => H8: 2,7 * PRF # G9: 5,6 => SOL * DIS # G9: 8 => CTR => G9: 5,6 * DIS # H9: 5,6 => CTR => H9: 7,8 * DIS # B8: 5,6 => CTR => B8: 3,4,7 * DIS # G4: 5,6 => CTR => G4: 9 * PRF # G4: 9 => SOL * CNT 32 HDP CHAINS / 65 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # B1: 3,7 => CTR => B1: 1,4,6,9 * DIS B1: 1,4,6,9 # C1: 2,6 => CTR => C1: 3,7 * DIS B1: 1,4,6,9 + C1: 3,7 # D1: 2,3 => CTR => D1: 6,7 * PRF B1: 1,4,6,9 + C1: 3,7 + D1: 6,7 # D3: 7 => SOL * STA B1: 1,4,6,9 + C1: 3,7 + D1: 6,7 + D3: 7 * CNT 4 HDP CHAINS / 9 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ........5...8....758...92.67.41.....8.957.34.....9.7...2..6.1.....9.8...9.1...... | initial |
| ........5...8....758...92167.418....8.957.34.....9.7...28.6.1.....918...9.1...... | autosolve |
| 147623895692851437583749216734186952869572341215394768328465179476918523951237684 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (12) C3: 3,7 E1: 2,3 E3: 3,4 G2: 4,9 H2: 3,9 B5: 1,6 F5: 2,6 I4: 2,9 I5: 1,2 I6: 1,8 A7: 3,4 G8: 5,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F1,F2: 1.. / F1 = 1 => 0 pairs (X) / F2 = 1 => 22 pairs (_) I5,I6: 1.. / I5 = 1 => 0 pairs (*) / I6 = 1 => 0 pairs (X) B5,I5: 1.. / B5 = 1 => 0 pairs (X) / I5 = 1 => 0 pairs (_) A6,C6: 2.. / A6 = 2 => 12 pairs (_) / C6 = 2 => 0 pairs (X) F4,F5: 2.. / F4 = 2 => 0 pairs (X) / F5 = 2 => 0 pairs (_) D9,E9: 2.. / D9 = 2 => 12 pairs (_) / E9 = 2 => 0 pairs (X) H8,I8: 2.. / H8 = 2 => 13 pairs (_) / I8 = 2 => 0 pairs (X) F5,I5: 2.. / F5 = 2 => 0 pairs (*) / I5 = 2 => 0 pairs (X) D1,D9: 2.. / D1 = 2 => 0 pairs (X) / D9 = 2 => 12 pairs (_) H4,H8: 2.. / H4 = 2 => 0 pairs (X) / H8 = 2 => 13 pairs (_) H1,H2: 3.. / H1 = 3 => 0 pairs (X) / H2 = 3 => 14 pairs (_) B4,F4: 3.. / B4 = 3 => 16 pairs (_) / F4 = 3 => 0 pairs (X) D3,E3: 4.. / D3 = 4 => 15 pairs (_) / E3 = 4 => 12 pairs (_) G1,G2: 4.. / G1 = 4 => 0 pairs (X) / G2 = 4 => 12 pairs (_) D6,F6: 4.. / D6 = 4 => 17 pairs (_) / F6 = 4 => 13 pairs (_) E3,E9: 4.. / E3 = 4 => 12 pairs (_) / E9 = 4 => 15 pairs (_) E2,F2: 5.. / E2 = 5 => 12 pairs (_) / F2 = 5 => 0 pairs (X) F7,H7: 5.. / F7 = 5 => 13 pairs (_) / H7 = 5 => 0 pairs (X) C6,C8: 5.. / C6 = 5 => 21 pairs (_) / C8 = 5 => 0 pairs (X) E2,E9: 5.. / E2 = 5 => 12 pairs (_) / E9 = 5 => 0 pairs (X) B5,F5: 6.. / B5 = 6 => 0 pairs (*) / F5 = 6 => 0 pairs (X) D1,D6: 6.. / D1 = 6 => 13 pairs (_) / D6 = 6 => 0 pairs (X) C3,D3: 7.. / C3 = 7 => 15 pairs (_) / D3 = 7 => 0 pairs (*) G1,H1: 8.. / G1 = 8 => 0 pairs (*) / H1 = 8 => 0 pairs (X) H6,I6: 8.. / H6 = 8 => 0 pairs (X) / I6 = 8 => 0 pairs (_) G1,G9: 8.. / G1 = 8 => 0 pairs (*) / G9 = 8 => 0 pairs (X) I6,I9: 8.. / I6 = 8 => 0 pairs (*) / I9 = 8 => 0 pairs (X) B1,B2: 9.. / B1 = 9 => 14 pairs (_) / B2 = 9 => 14 pairs (_) H7,I7: 9.. / H7 = 9 => 0 pairs (X) / I7 = 9 => 0 pairs (_) I4,I7: 9.. / I4 = 9 => 0 pairs (X) / I7 = 9 => 0 pairs (_) * DURATION: 0:00:34.889309 START: 22:04:11.474882 END: 22:04:46.364191 2019-04-30 * CP COUNT: (30) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A7,B5,C3,E1,E3,F5,G2,G8,H2,I4,I5,I6) * ........5...8....758...92167.418....8.957.34.....9.7...28.6.1.....918...9.1...... * PAIR C3: 3,7 BLK 1 B1: 3,7,1,4,6,9 # reduction candidate for 3,7 B1: 3,7 => CTR * 4....1..519.85643758...92167.418..5.86957234121569.7..328.6.1..6..9185.3951...... B1: 1,4,6,9 # 12 pairs C1: 3,7,2,6 # reduction candidate for 3,7 C1: 3,7 # 22 pairs * PAIR C3: 3,7 ROW 3 D3: 3,7,4 # reduction candidate for 3,7 D3: 4 # 15 pairs D3: 3,7 # 12 pairs * PAIR C3: 3,7 COL C C8: 3,7,5,6 # reduction candidate for 3,7 C8: 3,7 => CTR * ........5..2856..758...92167.418..5.86957234121569.7...28.651..6..91852.951...... C8: 5,6 # 22 pairs * PAIR E1: 2,3 BLK 2 D1: 2,3,6,7 # reduction candidate for 2,3 D1: 2,3 => CTR * ........5...8....758...9216754183...869572341...694758.28.651....59186..9.1..758. D1: 6,7 # 13 pairs E2: 2,3,5 # reduction candidate for 2,3 E2: 2,3 => CTR * .....1.85...8.5.3758..492167.418.59281957.34.....9.7...28.6.159...9186..961.5.87. E2: 5 # 12 pairs * PAIR E1: 2,3 ROW 1 A1: 2,3,1,4,6 # reduction candidate for 2,3 A1: 2,3 => CTR * .....1..5...856.3758...921673418...2869572341....9.7.8.28.6.1.967.9185249512....3 A1: 1,4,6 # 12 pairs C1: 2,3,6,7 # reduction candidate for 2,3 C1: 2,3 # 16 pairs * PAIR E1: 2,3 COL E E9: 2,3,4,5 # reduction candidate for 2,3 E9: 4,5 # 15 pairs E9: 2,3 # 13 pairs * PAIR E3: 3,4 BLK 2 D3: 3,4,7 # reduction candidate for 3,4 D3: 7 => SOLVED * 147623895692851437583749216734186952869572341215394768328465179476918523951237684 D3: 3,4 # 15 pairs * PAIR E3: 3,4 COL E E9: 3,4,2,5 # reduction candidate for 3,4 E9: 2,5 => CTR * ...23...5...85..37583749216734186952869572341.15.9.768.28.65179...91852.951.2768. E9: 3,4 # 12 pairs * PAIR G2: 4,9 BLK 3 G1: 4,9,8 # reduction candidate for 4,9 G1: 4,9 => CTR * .......85...8...3758...92167.418.6..869572341....9.758.28.651....5918...9.1...86. G1: 8 => SOLVED * 147623895692851437583749216734186952869572341215394768328465179476918523951237684 * PAIR G2: 4,9 ROW 2 B2: 4,9,1,3,6 # reduction candidate for 4,9 B2: 1,3,6 => CTR * .9......5...8....758...92167.418....8.957.34.....9.7..328.6.1..6.5918...9.1...... B2: 4,9 # 15 pairs * PAIR H2: 3,9 BLK 3 H1: 3,9,8 # reduction candidate for 3,9 H1: 3,9 => SOLVED * 147623895692851437583749216734186952869572341215394768328465179476918523951237684 H1: 8 => CTR * .......85...8...3758...92167.418.6..869572341....9.758.28.651....5918...9.1...86. * PAIR H2: 3,9 ROW 2 B2: 3,9,1,4,6 # reduction candidate for 3,9 B2: 3,9 # 15 pairs B2: 1,4,6 # 14 pairs * PAIR B5: 1,6 BLK 4 A6: 1,6,2,3 # reduction candidate for 1,6 A6: 1,6 => CTR * ...6..8.5..68..4.758...92167.41829..8195763426.2.9.7.1.28.6.1...7591862.961.....8 A6: 2,3 # 13 pairs B6: 1,6,3,5 # reduction candidate for 1,6 B6: 1,6 # 25 pairs * PAIR B5: 1,6 COL B B1: 1,6,3,4,7,9 # reduction candidate for 1,6 B1: 1,6 => CTR * 4.......5.9.8..43758...92167.418....8.957.34.....9.7..328.6.1..6..9185.3951...... B1: 3,4,7,9 # 12 pairs B2: 1,6,3,4,9 # reduction candidate for 1,6 B2: 1,6 => CTR * .9......5...8....758...92167.418....8.957.34.....9.7..328.6.1..6.5918...9.1...... B2: 3,4,9 # 14 pairs * PAIR F5: 2,6 BLK 5 F4: 2,6,3 # reduction candidate for 2,6 F4: 3 => CTR * ........5...8....758...9216754183...869572341....9.758.28.651....59186..9.1...58. F4: 2,6 # 16 pairs * PAIR I4: 2,9 BLK 6 H4: 2,9,5,6 # reduction candidate for 2,9 H4: 2,9 => CTR * .......85...8...3758...92167.418.6..869572341....9.758.28.651....5918...9.1...86. H4: 5,6 # 14 pairs * PAIR A7: 3,4 BLK 7 A8: 3,4,6 # reduction candidate for 3,4 A8: 3,4 # 22 pairs B8: 3,4,5,6,7 # reduction candidate for 3,4 B8: 3,4 => CTR * 47...1.951928564375837492167.418.95286957234121569.7...28.65179647918523951..7..4 B8: 5,6,7 # 12 pairs B9: 3,4,5,6,7 # reduction candidate for 3,4 B9: 3,4 => CTR * ........5...8....758...92167.418....8.957.34.....9.7...28.6.1.....918...9.1...... B9: 5,6,7 # 12 pairs * PAIR A7: 3,4 ROW 7 D7: 3,4,7 # reduction candidate for 3,4 D7: 3,4 => SOLVED * 147623895692851437583749216734186952869572341215394768328465179476918523951237684 D7: 7 # 24 pairs F7: 3,4,5,7 # reduction candidate for 3,4 F7: 3,4 => CTR * .....7.85...8.1.37587..92167.418.59281957.34.....9.7...28.6.159...9186..961...87. F7: 5,7 # 13 pairs I7: 3,4,9 # reduction candidate for 3,4 I7: 3,4 => CTR * ...627.85...851.37587..92167.418..29869572341....9.7.8.2876519....918..29.12..86. I7: 9 => SOLVED * 147623895692851437583749216734186952869572341215394768328465179476918523951237684 * PAIR A7: 3,4 COL A A1: 3,4,1,2,6 # reduction candidate for 3,4 A1: 3,4 => CTR * ..6..1..51.2856..758...92167.418..5.86957234121569.7...28.651..6..91852.951...... A1: 1,2,6 # 22 pairs A2: 3,4,1,2,6 # reduction candidate for 3,4 A2: 3,4 => CTR * .9....4854..8..93758...92167.418....8.957.34.....9.7.8328.6.1..6..9185.3951...864 A2: 1,2,6 # 12 pairs * PAIR G8: 5,6 BLK 9 H8: 5,6,2,7 # reduction candidate for 5,6 H8: 5,6 => CTR * .......85...8...3758...92167.418..29869572341....9.7.8.28.6519....918..29.1....7. H8: 2,7 # 13 pairs G9: 5,6,8 # reduction candidate for 5,6 G9: 5,6 => SOLVED * 147623895692851437583749216734186952869572341215394768328465179476918523951237684 G9: 8 => CTR * .......85...8...3758...92167.418.6..869572341....9.758.28.651....5918...9.1...86. H9: 5,6,7,8 # reduction candidate for 5,6 H9: 5,6 => CTR * .......85...85..3758...92167.418.6..869572341....9.758.28.651....5918...9.1...86. H9: 7,8 # 13 pairs * PAIR G8: 5,6 ROW 8 B8: 5,6,3,4,7 # reduction candidate for 5,6 B8: 5,6 => CTR * ........5...8....758...92167.418....8.957.34.....9.7...28.6.1.....918...9.1...... B8: 3,4,7 # 12 pairs C8: 5,6,3,7 # reduction candidate for 5,6 C8: 5,6 # 22 pairs * PAIR G8: 5,6 COL G G4: 5,6,9 # reduction candidate for 5,6 G4: 5,6 => CTR * .......85...8...3758...92167.418.6..869572341....9.758.28.651....5918...9.1...86. G4: 9 => SOLVED * 147623895692851437583749216734186952869572341215394768328465179476918523951237684 * INCONCLUSIVE * SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20060401-absurd-base-pr-000.dot * REASONING * DIS # B1: 3,7 => CTR => B1: 1,4,6,9 * DIS # C8: 3,7 => CTR => C8: 5,6 * DIS # D1: 2,3 => CTR => D1: 6,7 * DIS # E2: 2,3 => CTR => E2: 5 * DIS # A1: 2,3 => CTR => A1: 1,4,6 * PRF # D3: 7 => SOL * DIS # E9: 2,5 => CTR => E9: 3,4 * DIS # G1: 4,9 => CTR => G1: 8 * PRF # G1: 8 => SOL * DIS # B2: 1,3,6 => CTR => B2: 4,9 * PRF # H1: 3,9 => SOL * DIS # H1: 8 => CTR => H1: 3,9 * DIS # A6: 1,6 => CTR => A6: 2,3 * DIS # B1: 1,6 => CTR => B1: 3,4,7,9 * DIS # B2: 1,6 => CTR => B2: 3,4,9 * DIS # F4: 3 => CTR => F4: 2,6 * DIS # H4: 2,9 => CTR => H4: 5,6 * DIS # B8: 3,4 => CTR => B8: 5,6,7 * DIS # B9: 3,4 => CTR => B9: 5,6,7 * PRF # D7: 3,4 => SOL * DIS # F7: 3,4 => CTR => F7: 5,7 * DIS # I7: 3,4 => CTR => I7: 9 * PRF # I7: 9 => SOL * DIS # A1: 3,4 => CTR => A1: 1,2,6 * DIS # A2: 3,4 => CTR => A2: 1,2,6 * DIS # H8: 5,6 => CTR => H8: 2,7 * PRF # G9: 5,6 => SOL * DIS # G9: 8 => CTR => G9: 5,6 * DIS # H9: 5,6 => CTR => H9: 7,8 * DIS # B8: 5,6 => CTR => B8: 3,4,7 * DIS # G4: 5,6 => CTR => G4: 9 * PRF # G4: 9 => SOL * CNT 32 HDP CHAINS / 65 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A7,B5,C3,E1,E3,F5,G2,G8,H2,I4,I5,I6) * ........5...8....758...92167.418....8.957.34.....9.7...28.6.1.....918...9.1...... * PAIR C3: 3,7 BLK 1 B1: 3,7,1,4,6,9 # reduction candidate for 3,7 B1: 3,7 => CTR * 4....1..519.85643758...92167.418..5.86957234121569.7..328.6.1..6..9185.3951...... C1: 3,7,2,6 # reduction candidate for 3,7 C1: 3,7 # 22 pairs * RESTART * PAIR C3: 3,7 BLK 1 C1: 3,7,2,6 # reduction candidate for 3,7 C1: 2,6 => CTR * ..6721..5...856..7587..92167.418....869572341...6947.8.28.6.1..6..9185..9512..... * PAIR C3: 3,7 ROW 3 D3: 3,7,4 # reduction candidate for 3,7 D3: 4 # 23 pairs D3: 3,7 # 22 pairs * PAIR E1: 2,3 BLK 2 D1: 2,3,6,7 # reduction candidate for 2,3 D1: 2,3 => CTR * ........5...8...3758...92167.4183..28695723412..6947...28.6.1...7.918.2.9.1...... * PAIR E3: 3,4 BLK 2 D3: 3,4,7 # reduction candidate for 3,4 D3: 7 => SOLVED * 147623895692851437583749216734186952869572341215394768328465179476918523951237684 * DURATION: 0:00:08.748816 START: 22:05:27.560094 END: 22:05:36.308910 2019-04-30 * SOLUTION FOUND * SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20060401-absurd-base-pr-001.dot * REASONING * DIS # B1: 3,7 => CTR => B1: 1,4,6,9 * DIS B1: 1,4,6,9 # C1: 2,6 => CTR => C1: 3,7 * DIS B1: 1,4,6,9 + C1: 3,7 # D1: 2,3 => CTR => D1: 6,7 * PRF B1: 1,4,6,9 + C1: 3,7 + D1: 6,7 # D3: 7 => SOL * STA B1: 1,4,6,9 + C1: 3,7 + D1: 6,7 + D3: 7 * CNT 4 HDP CHAINS / 9 HYP OPENED
Header Info
http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Apr&YEAR=2006, 20060401, absurd
Solution
position: 147623895692851437583749216734186952869572341215394768328465179476918523951237684 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 # B1: 3,7 => CTR => B1: 1,4,6,9 * INC # B1: 1,4,6,9 => UNS * INC # C1: 3,7 => UNS * INC # D3: 3,7 => UNS * INC # D3: 4 => UNS * DIS # C8: 3,7 => CTR => C8: 5,6 * INC # C8: 5,6 => UNS * DIS # D1: 2,3 => CTR => D1: 6,7 * INC # D1: 6,7 => UNS * DIS # E2: 2,3 => CTR => E2: 5 * INC # E2: 5 => UNS * DIS # A1: 2,3 => CTR => A1: 1,4,6 * INC # A1: 1,4,6 => UNS * INC # C1: 2,3 => UNS * INC # E9: 2,3 => UNS * INC # E9: 4,5 => UNS * INC # D3: 3,4 => UNS * PRF # D3: 7 => SOL * INC # E9: 3,4 => UNS * DIS # E9: 2,5 => CTR => E9: 3,4 * DIS # G1: 4,9 => CTR => G1: 8 * PRF # G1: 8 => SOL * INC # B2: 4,9 => UNS * DIS # B2: 1,3,6 => CTR => B2: 4,9 * PRF # H1: 3,9 => SOL * DIS # H1: 8 => CTR => H1: 3,9 * INC # B2: 3,9 => UNS * INC # B2: 1,4,6 => UNS * DIS # A6: 1,6 => CTR => A6: 2,3 * INC # A6: 2,3 => UNS * INC # B6: 1,6 => UNS * DIS # B1: 1,6 => CTR => B1: 3,4,7,9 * INC # B1: 3,4,7,9 => UNS * DIS # B2: 1,6 => CTR => B2: 3,4,9 * INC # B2: 3,4,9 => UNS * INC # F4: 2,6 => UNS * DIS # F4: 3 => CTR => F4: 2,6 * DIS # H4: 2,9 => CTR => H4: 5,6 * INC # H4: 5,6 => UNS * INC # A8: 3,4 => UNS * DIS # B8: 3,4 => CTR => B8: 5,6,7 * INC # B8: 5,6,7 => UNS * DIS # B9: 3,4 => CTR => B9: 5,6,7 * INC # B9: 5,6,7 => UNS * PRF # D7: 3,4 => SOL * INC # D7: 7 => UNS * DIS # F7: 3,4 => CTR => F7: 5,7 * INC # F7: 5,7 => UNS * DIS # I7: 3,4 => CTR => I7: 9 * PRF # I7: 9 => SOL * DIS # A1: 3,4 => CTR => A1: 1,2,6 * INC # A1: 1,2,6 => UNS * DIS # A2: 3,4 => CTR => A2: 1,2,6 * INC # A2: 1,2,6 => UNS * DIS # H8: 5,6 => CTR => H8: 2,7 * INC # H8: 2,7 => UNS * PRF # G9: 5,6 => SOL * DIS # G9: 8 => CTR => G9: 5,6 * DIS # H9: 5,6 => CTR => H9: 7,8 * INC # H9: 7,8 => UNS * DIS # B8: 5,6 => CTR => B8: 3,4,7 * INC # B8: 3,4,7 => UNS * INC # C8: 5,6 => UNS * DIS # G4: 5,6 => CTR => G4: 9 * PRF # G4: 9 => SOL * CNT 65 HDP CHAINS / 65 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # B1: 3,7 => CTR => B1: 1,4,6,9 * INC B1: 1,4,6,9 # C1: 3,7 => UNS * INC B1: 1,4,6,9 # C1: 3,7 => UNS * DIS B1: 1,4,6,9 # C1: 2,6 => CTR => C1: 3,7 * INC B1: 1,4,6,9 + C1: 3,7 # D3: 3,7 => UNS * INC B1: 1,4,6,9 + C1: 3,7 # D3: 4 => UNS * DIS B1: 1,4,6,9 + C1: 3,7 # D1: 2,3 => CTR => D1: 6,7 * INC B1: 1,4,6,9 + C1: 3,7 + D1: 6,7 # D3: 3,4 => UNS * PRF B1: 1,4,6,9 + C1: 3,7 + D1: 6,7 # D3: 7 => SOL * STA B1: 1,4,6,9 + C1: 3,7 + D1: 6,7 + D3: 7 * CNT 9 HDP CHAINS / 9 HYP OPENED