Analysis of zz-www.sudokuwiki.org-0109-base.sdk
Contents
Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=109
level: medium
position: ..49...7.2.......5..5.6.4.98....7....2..8..3....1....77.3.4....9.......2.6...91.. initial
Autosolve
position: ..49...7.2.......5..5.6.4.98....7....27.8.93....1....77.3.4..9.9.....7.2.62..91.3 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # B2: 1,3 => CTR => B2: 7,8,9 * DIS # B3: 1,3 => CTR => B3: 7,8 * DIS # I1: 1 => CTR => I1: 6,8 * CNT 3 HDP CHAINS / 32 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # B2: 1,3 => CTR => B2: 7,8,9 * DIS B2: 7,8,9 # B3: 1,3 => CTR => B3: 7,8 * DIS B2: 7,8,9 + B3: 7,8 # I1: 1 => CTR => I1: 6,8 * DIS B2: 7,8,9 + B3: 7,8 + I1: 6,8 # B2: 7,8 => CTR => B2: 9 * DIS B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 # G1: 6,8 => CTR => G1: 2,3 * DIS B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 + G1: 2,3 # G2: 6,8 => CTR => G2: 3 * DIS B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 + G1: 2,3 + G2: 3 # H2: 1 => CTR => H2: 6,8 * DIS B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 + G1: 2,3 + G2: 3 + H2: 6,8 # C4: 6,9 => CTR => C4: 1 * PRF B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 + G1: 2,3 + G2: 3 + H2: 6,8 + C4: 1 => SOL * STA B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 + G1: 2,3 + G2: 3 + H2: 6,8 + C4: 1 * CNT 9 HDP CHAINS / 49 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ..49...7.2.......5..5.6.4.98....7....2..8..3....1....77.3.4....9.......2.6...91.. | initial |
| ..49...7.2.......5..5.6.4.98....7....27.8.93....1....77.3.4..9.9.....7.2.62..91.3 | autosolve |
| 184953276296714385375268419851397624627485931439126857713642598948531762562879143 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (6) A3: 1,3 C6: 6,9 C8: 1,8 A9: 4,5 E9: 5,7 I7: 6,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A5,I5: 1.. / A5 = 1 => 13 pairs (_) / I5 = 1 => 8 pairs (_) B7,F7: 1.. / B7 = 1 => 7 pairs (_) / F7 = 1 => 8 pairs (_) G1,H3: 2.. / G1 = 2 => 11 pairs (_) / H3 = 2 => 8 pairs (_) D7,F7: 2.. / D7 = 2 => 6 pairs (_) / F7 = 2 => 7 pairs (_) G1,G2: 3.. / G1 = 3 => 11 pairs (_) / G2 = 3 => 7 pairs (_) D2,F2: 4.. / D2 = 4 => 7 pairs (_) / F2 = 4 => 7 pairs (_) I4,I5: 4.. / I4 = 4 => 7 pairs (_) / I5 = 4 => 15 pairs (_) B8,A9: 4.. / B8 = 4 => 6 pairs (_) / A9 = 4 => 6 pairs (_) H8,H9: 4.. / H8 = 4 => 6 pairs (_) / H9 = 4 => 6 pairs (_) B8,H8: 4.. / B8 = 4 => 6 pairs (_) / H8 = 4 => 6 pairs (_) A9,H9: 4.. / A9 = 4 => 6 pairs (_) / H9 = 4 => 6 pairs (_) E1,F1: 5.. / E1 = 5 => 10 pairs (_) / F1 = 5 => 7 pairs (_) A1,C2: 6.. / A1 = 6 => 7 pairs (_) / C2 = 6 => 15 pairs (_) B2,B3: 7.. / B2 = 7 => 0 pairs (X) / B3 = 7 => 6 pairs (_) D9,E9: 7.. / D9 = 7 => 20 pairs (_) / E9 = 7 => 7 pairs (_) B3,D3: 7.. / B3 = 7 => 6 pairs (_) / D3 = 7 => 0 pairs (X) E2,E9: 7.. / E2 = 7 => 20 pairs (_) / E9 = 7 => 7 pairs (_) G6,H6: 8.. / G6 = 8 => 8 pairs (_) / H6 = 8 => 10 pairs (_) D9,H9: 8.. / D9 = 8 => 7 pairs (_) / H9 = 8 => 20 pairs (_) C2,C8: 8.. / C2 = 8 => 14 pairs (_) / C8 = 8 => 7 pairs (_) I1,I7: 8.. / I1 = 8 => 15 pairs (_) / I7 = 8 => 9 pairs (_) B2,C2: 9.. / B2 = 9 => 6 pairs (_) / C2 = 9 => 0 pairs (X) E4,E6: 9.. / E4 = 9 => 7 pairs (_) / E6 = 9 => 7 pairs (_) * DURATION: 0:00:25.752829 START: 05:26:39.961297 END: 05:27:05.714126 2017-05-01 * CP COUNT: (23) * CLUE FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A3,A9,C6,C8,E9,I7) * ..49...7.2.......5..5.6.4.98....7....27.8.93....1....77.3.4..9.9.....7.2.62..91.3 * PAIR A3: 1,3 BLK 1 A1: 1,3,6 # reduction candidate for 1,3 A1: 1,3 # 15 pairs B1: 1,3,8 # reduction candidate for 1,3 B1: 1,3 # 10 pairs B2: 1,3,7,8,9 # reduction candidate for 1,3 B2: 1,3 => CTR * 6849...712.9.....5.75.6.4.98.1..7....27.8.93...61....77.3.4..989.8...7.2.628791.3 B2: 7,8,9 # 6 pairs B3: 1,3,7,8 # reduction candidate for 1,3 B3: 1,3 => CTR * 6849...71279.....5..576.4.98.1..7....27.8.93...61....77.3.4..989.8...7.2.628791.3 B3: 7,8 # 7 pairs * PAIR A3: 1,3 ROW 3 F3: 1,3,2,8 # reduction candidate for 1,3 F3: 1,3 # 9 pairs F3: 2,8 # 7 pairs * PAIR C6: 6,9 BLK 4 C4: 6,9,1 # reduction candidate for 6,9 C4: 6,9 # 9 pairs C4: 1 # 9 pairs * PAIR C6: 6,9 COL C C2: 6,9,1,8 # reduction candidate for 6,9 C2: 6,9 # 9 pairs C2: 1,8 # 9 pairs * PAIR C8: 1,8 BLK 7 B7: 1,8,5 # reduction candidate for 1,8 B7: 1,8 # 8 pairs B8: 1,8,4,5 # reduction candidate for 1,8 B8: 1,8 # 9 pairs * PAIR C8: 1,8 ROW 8 F8: 1,8,3,5,6 # reduction candidate for 1,8 F8: 1,8 # 10 pairs F8: 3,5,6 # 6 pairs * PAIR C8: 1,8 COL C C2: 1,8,6,9 # reduction candidate for 1,8 C2: 6,9 # 9 pairs C2: 1,8 # 9 pairs * PAIR A9: 4,5 BLK 7 B8: 4,5,1,8 # reduction candidate for 4,5 B8: 1,8 # 9 pairs B8: 4,5 # 8 pairs * PAIR A9: 4,5 ROW 9 H9: 4,5,8 # reduction candidate for 4,5 H9: 8 # 20 pairs H9: 4,5 # 7 pairs * PAIR A9: 4,5 COL A A5: 4,5,1,6 # reduction candidate for 4,5 A5: 4,5 # 10 pairs A6: 4,5,3,6 # reduction candidate for 4,5 A6: 4,5 # 9 pairs * PAIR E9: 5,7 BLK 8 D9: 5,7,8 # reduction candidate for 5,7 D9: 5,7 # 20 pairs D9: 8 # 7 pairs * PAIR I7: 6,8 BLK 9 G7: 6,8,5 # reduction candidate for 6,8 G7: 6,8 # 11 pairs H8: 6,8,4,5 # reduction candidate for 6,8 H8: 6,8 # 9 pairs * PAIR I7: 6,8 ROW 7 D7: 6,8,2,5 # reduction candidate for 6,8 D7: 6,8 # 11 pairs F7: 6,8,1,2,5 # reduction candidate for 6,8 F7: 6,8 # 11 pairs * PAIR I7: 6,8 COL I I1: 6,8,1 # reduction candidate for 6,8 I1: 1 => CTR * 6849...712.1.3...53752614898....7.1.127.8.93....1....77.3.4..989.8...7.2.628791.3 I1: 6,8 # 9 pairs * INCONCLUSIVE * SAVE PR GRAPH zz-www.sudokuwiki.org-0109-base-pr-000.dot * REASONING * DIS # B2: 1,3 => CTR => B2: 7,8,9 * DIS # B3: 1,3 => CTR => B3: 7,8 * DIS # I1: 1 => CTR => I1: 6,8 * CNT 3 HDP CHAINS / 32 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A3,A9,C6,C8,E9,I7) * ..49...7.2.......5..5.6.4.98....7....27.8.93....1....77.3.4..9.9.....7.2.62..91.3 * PAIR A3: 1,3 BLK 1 A1: 1,3,6 # reduction candidate for 1,3 A1: 1,3 # 15 pairs B1: 1,3,8 # reduction candidate for 1,3 B1: 1,3 # 10 pairs B2: 1,3,7,8,9 # reduction candidate for 1,3 B2: 1,3 => CTR * 6849...712.9.....5.75.6.4.98.1..7....27.8.93...61....77.3.4..989.8...7.2.628791.3 B3: 1,3,7,8 # reduction candidate for 1,3 B3: 1,3 => CTR * 6849...71279.....5..576.4.98.1..7....27.8.93...61....77.3.4..989.8...7.2.628791.3 * PAIR A3: 1,3 ROW 3 F3: 1,3,2,8 # reduction candidate for 1,3 F3: 1,3 # 9 pairs F3: 2,8 # 8 pairs * PAIR RESTART * PAIR A3: 1,3 BLK 1 A1: 1,3,6 # reduction candidate for 1,3 A1: 1,3 # 15 pairs B1: 1,3,8 # reduction candidate for 1,3 B1: 1,3 # 10 pairs * PAIR A3: 1,3 ROW 3 F3: 1,3,2,8 # reduction candidate for 1,3 F3: 1,3 # 9 pairs F3: 2,8 # 8 pairs * PAIR C6: 6,9 BLK 4 C4: 6,9,1 # reduction candidate for 6,9 C4: 1 # 10 pairs C4: 6,9 # 9 pairs * PAIR C6: 6,9 COL C C2: 6,9,1,8 # reduction candidate for 6,9 C2: 6,9 # 10 pairs C2: 1,8 # 9 pairs * PAIR C8: 1,8 BLK 7 B7: 1,8,5 # reduction candidate for 1,8 B7: 1,8 # 9 pairs B8: 1,8,4,5 # reduction candidate for 1,8 B8: 1,8 # 10 pairs * PAIR C8: 1,8 ROW 8 F8: 1,8,3,5,6 # reduction candidate for 1,8 F8: 1,8 # 11 pairs F8: 3,5,6 # 7 pairs * PAIR C8: 1,8 COL C C2: 1,8,6,9 # reduction candidate for 1,8 C2: 6,9 # 10 pairs C2: 1,8 # 9 pairs * PAIR A9: 4,5 BLK 7 B8: 4,5,1,8 # reduction candidate for 4,5 B8: 1,8 # 10 pairs B8: 4,5 # 9 pairs * PAIR A9: 4,5 ROW 9 H9: 4,5,8 # reduction candidate for 4,5 H9: 8 # 20 pairs H9: 4,5 # 8 pairs * PAIR A9: 4,5 COL A A5: 4,5,1,6 # reduction candidate for 4,5 A5: 4,5 # 11 pairs A6: 4,5,3,6 # reduction candidate for 4,5 A6: 4,5 # 9 pairs * PAIR E9: 5,7 BLK 8 D9: 5,7,8 # reduction candidate for 5,7 D9: 5,7 # 20 pairs D9: 8 # 8 pairs * PAIR I7: 6,8 BLK 9 G7: 6,8,5 # reduction candidate for 6,8 G7: 6,8 # 12 pairs H8: 6,8,4,5 # reduction candidate for 6,8 H8: 6,8 # 10 pairs * PAIR I7: 6,8 ROW 7 D7: 6,8,2,5 # reduction candidate for 6,8 D7: 6,8 # 12 pairs F7: 6,8,1,2,5 # reduction candidate for 6,8 F7: 6,8 # 12 pairs * PAIR I7: 6,8 COL I I1: 6,8,1 # reduction candidate for 6,8 I1: 1 => CTR * 6849..37129173...53.5.614.98....7.1.127.8.93....1....7713.4..989.8.1.7.2.628791.3 * PAIR RESTART * PAIR I7: 6,8 BLK 9 G7: 6,8,5 # reduction candidate for 6,8 G7: 6,8 # 16 pairs H8: 6,8,4,5 # reduction candidate for 6,8 H8: 6,8 # 13 pairs * PAIR I7: 6,8 ROW 7 D7: 6,8,2,5 # reduction candidate for 6,8 D7: 6,8 # 15 pairs F7: 6,8,1,2,5 # reduction candidate for 6,8 F7: 6,8 # 15 pairs * LEVEL 0 PASS 1 ROUND 2 (AUTO SOLVE) (A3,A9,B3,C6,C8,E9,I1,I4,I5,I7) * ..49...7.2.......5..5.6.4.98....7....27.8.93....1....77.3.4..9.9.....7.2.62..91.3 * PAIR A3: 1,3 BLK 1 A1: 1,3,6 # reduction candidate for 1,3 A1: 1,3 # 15 pairs B1: 1,3,8 # reduction candidate for 1,3 B1: 1,3 # 15 pairs * PAIR A3: 1,3 ROW 3 F3: 1,3,2,8 # reduction candidate for 1,3 F3: 1,3 # 13 pairs F3: 2,8 # 11 pairs * PAIR B3: 7,8 BLK 1 B2: 7,8,9 # reduction candidate for 7,8 B2: 7,8 => CTR * 6.49...782.9.....51.5.6.4298.1..7..4.27.8.9313.61....77.3.4..969.8...7.2.62..91.3 * PAIR I1: 6,8 BLK 3 G1: 6,8,2,3 # reduction candidate for 6,8 G1: 6,8 => CTR * .849.567.296.7.315.75.6.4298....7....27.8.93...91....77.3.4..9.9.8...7.2.62759183 G2: 6,8,3 # reduction candidate for 6,8 G2: 6,8 => CTR * 1849..37.29.....153758614298....7....27.8.93....1....7713.4..9.9.8.1.7.2.62..9183 H2: 6,8,1 # reduction candidate for 6,8 H2: 6,8 # 22 pairs * RESTART * PAIR I1: 6,8 BLK 3 H2: 6,8,1 # reduction candidate for 6,8 H2: 1 => CTR * ..49..276296...315.75.6.4898....7....27.8.93...912.8.77.3.4..989.8...7.2.628791.3 * PAIR C6: 6,9 BLK 4 C4: 6,9,1 # reduction candidate for 6,9 C4: 6,9 => CTR * 6149532782987143653758624198....7..1127.8.934...1....77.3241.969.1..87.2.62579183 C4: 1 => SOLVED * 184953276296714385375268419851397624627485931439126857713642598948531762562879143 * DURATION: 0:00:37.145573 START: 05:27:25.852130 END: 05:28:02.997703 2017-05-01 * SOLUTION FOUND * SAVE PR GRAPH zz-www.sudokuwiki.org-0109-base-pr-001.dot * REASONING * DIS # B2: 1,3 => CTR => B2: 7,8,9 * DIS B2: 7,8,9 # B3: 1,3 => CTR => B3: 7,8 * DIS B2: 7,8,9 + B3: 7,8 # I1: 1 => CTR => I1: 6,8 * DIS B2: 7,8,9 + B3: 7,8 + I1: 6,8 # B2: 7,8 => CTR => B2: 9 * DIS B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 # G1: 6,8 => CTR => G1: 2,3 * DIS B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 + G1: 2,3 # G2: 6,8 => CTR => G2: 3 * DIS B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 + G1: 2,3 + G2: 3 # H2: 1 => CTR => H2: 6,8 * DIS B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 + G1: 2,3 + G2: 3 + H2: 6,8 # C4: 6,9 => CTR => C4: 1 * PRF B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 + G1: 2,3 + G2: 3 + H2: 6,8 + C4: 1 => SOL * STA B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 + G1: 2,3 + G2: 3 + H2: 6,8 + C4: 1 * CNT 9 HDP CHAINS / 49 HYP OPENED
Header Info
http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=109
Solution
position: 184953276296714385375268419851397624627485931439126857713642598948531762562879143 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 # A1: 1,3 => UNS * INC # B1: 1,3 => UNS * DIS # B2: 1,3 => CTR => B2: 7,8,9 * INC # B2: 7,8,9 => UNS * DIS # B3: 1,3 => CTR => B3: 7,8 * INC # B3: 7,8 => UNS * INC # F3: 1,3 => UNS * INC # F3: 2,8 => UNS * INC # C4: 6,9 => UNS * INC # C4: 1 => UNS * INC # C2: 6,9 => UNS * INC # C2: 1,8 => UNS * INC # B7: 1,8 => UNS * INC # B8: 1,8 => UNS * INC # F8: 1,8 => UNS * INC # F8: 3,5,6 => UNS * INC # C2: 1,8 => UNS * INC # C2: 6,9 => UNS * INC # B8: 4,5 => UNS * INC # B8: 1,8 => UNS * INC # H9: 4,5 => UNS * INC # H9: 8 => UNS * INC # A5: 4,5 => UNS * INC # A6: 4,5 => UNS * INC # D9: 5,7 => UNS * INC # D9: 8 => UNS * INC # G7: 6,8 => UNS * INC # H8: 6,8 => UNS * INC # D7: 6,8 => UNS * INC # F7: 6,8 => UNS * INC # I1: 6,8 => UNS * DIS # I1: 1 => CTR => I1: 6,8 * CNT 32 HDP CHAINS / 32 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A1: 1,3 => UNS * INC # B1: 1,3 => UNS * DIS # B2: 1,3 => CTR => B2: 7,8,9 * DIS B2: 7,8,9 # B3: 1,3 => CTR => B3: 7,8 * INC B2: 7,8,9 + B3: 7,8 # F3: 1,3 => UNS * INC B2: 7,8,9 + B3: 7,8 # F3: 2,8 => UNS * INC B2: 7,8,9 + B3: 7,8 # A1: 1,3 => UNS * INC B2: 7,8,9 + B3: 7,8 # B1: 1,3 => UNS * INC B2: 7,8,9 + B3: 7,8 # F3: 1,3 => UNS * INC B2: 7,8,9 + B3: 7,8 # F3: 2,8 => UNS * INC B2: 7,8,9 + B3: 7,8 # C4: 6,9 => UNS * INC B2: 7,8,9 + B3: 7,8 # C4: 1 => UNS * INC B2: 7,8,9 + B3: 7,8 # C2: 6,9 => UNS * INC B2: 7,8,9 + B3: 7,8 # C2: 1,8 => UNS * INC B2: 7,8,9 + B3: 7,8 # B7: 1,8 => UNS * INC B2: 7,8,9 + B3: 7,8 # B8: 1,8 => UNS * INC B2: 7,8,9 + B3: 7,8 # F8: 1,8 => UNS * INC B2: 7,8,9 + B3: 7,8 # F8: 3,5,6 => UNS * INC B2: 7,8,9 + B3: 7,8 # C2: 1,8 => UNS * INC B2: 7,8,9 + B3: 7,8 # C2: 6,9 => UNS * INC B2: 7,8,9 + B3: 7,8 # B8: 4,5 => UNS * INC B2: 7,8,9 + B3: 7,8 # B8: 1,8 => UNS * INC B2: 7,8,9 + B3: 7,8 # H9: 4,5 => UNS * INC B2: 7,8,9 + B3: 7,8 # H9: 8 => UNS * INC B2: 7,8,9 + B3: 7,8 # A5: 4,5 => UNS * INC B2: 7,8,9 + B3: 7,8 # A6: 4,5 => UNS * INC B2: 7,8,9 + B3: 7,8 # D9: 5,7 => UNS * INC B2: 7,8,9 + B3: 7,8 # D9: 8 => UNS * INC B2: 7,8,9 + B3: 7,8 # G7: 6,8 => UNS * INC B2: 7,8,9 + B3: 7,8 # H8: 6,8 => UNS * INC B2: 7,8,9 + B3: 7,8 # D7: 6,8 => UNS * INC B2: 7,8,9 + B3: 7,8 # F7: 6,8 => UNS * INC B2: 7,8,9 + B3: 7,8 # I1: 6,8 => UNS * DIS B2: 7,8,9 + B3: 7,8 # I1: 1 => CTR => I1: 6,8 * INC B2: 7,8,9 + B3: 7,8 + I1: 6,8 # G7: 6,8 => UNS * INC B2: 7,8,9 + B3: 7,8 + I1: 6,8 # H8: 6,8 => UNS * INC B2: 7,8,9 + B3: 7,8 + I1: 6,8 # D7: 6,8 => UNS * INC B2: 7,8,9 + B3: 7,8 + I1: 6,8 # F7: 6,8 => UNS * INC B2: 7,8,9 + B3: 7,8 + I1: 6,8 # A1: 1,3 => UNS * INC B2: 7,8,9 + B3: 7,8 + I1: 6,8 # B1: 1,3 => UNS * INC B2: 7,8,9 + B3: 7,8 + I1: 6,8 # F3: 1,3 => UNS * INC B2: 7,8,9 + B3: 7,8 + I1: 6,8 # F3: 2,8 => UNS * DIS B2: 7,8,9 + B3: 7,8 + I1: 6,8 # B2: 7,8 => CTR => B2: 9 * DIS B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 # G1: 6,8 => CTR => G1: 2,3 * DIS B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 + G1: 2,3 # G2: 6,8 => CTR => G2: 3 * INC B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 + G1: 2,3 + G2: 3 # H2: 6,8 => UNS * INC B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 + G1: 2,3 + G2: 3 # H2: 6,8 => UNS * DIS B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 + G1: 2,3 + G2: 3 # H2: 1 => CTR => H2: 6,8 * DIS B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 + G1: 2,3 + G2: 3 + H2: 6,8 # C4: 6,9 => CTR => C4: 1 * PRF B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 + G1: 2,3 + G2: 3 + H2: 6,8 + C4: 1 => SOL * STA B2: 7,8,9 + B3: 7,8 + I1: 6,8 + B2: 9 + G1: 2,3 + G2: 3 + H2: 6,8 + C4: 1 * CNT 50 HDP CHAINS / 49 HYP OPENED