Analysis of zz-www.sudokuoftheday.co.uk-20190227-absurd-base.sdk
Contents
Sudoku from http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Feb&YEAR=2019
level: medium
position: ..835.........26......865...4.9..31...9.1...7..7..4...8.....4.235....9...72...... initial
Autosolve
position: ..835.7.......26......865..24.97831...9.1..471.7..4...8.....4.235....9...72...1.. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # B1: 1,9 => CTR => B1: 2,6 * DIS # B3: 1,9 => CTR => B3: 2 * DIS # I2: 1,9 => CTR => I2: 3,4,8 * DIS # B7: 6 => CTR => B7: 1,9 * DIS # B1: 1,9 => CTR => B1: 2,6 * DIS # F7: 1,9 => CTR => F7: 3,5,7 * DIS # A2: 4,9 => CTR => A2: 5,7 * DIS # I2: 4,9 => CTR => I2: 1,3,8 * DIS # B1: 2,9 => CTR => B1: 1,6 * DIS # B7: 1,6 => CTR => B7: 9 * PRF # C8: 1,6 => SOL * DIS # I9: 6,8 => CTR => I9: 3,5 * DIS # D8: 6,8 => CTR => D8: 1,2,4 * CNT 13 HDP CHAINS / 45 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # B1: 1,9 => CTR => B1: 2,6 * DIS B1: 2,6 # B3: 1,9 => CTR => B3: 2 * DIS B1: 2,6 + B3: 2 # I2: 1,9 => CTR => I2: 3,4,8 * DIS B1: 2,6 + B3: 2 + I2: 3,4,8 # F7: 1,9 => CTR => F7: 3,5,7 * DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 # A2: 4,9 => CTR => A2: 5,7 * DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # F9: 3,5 => CTR => F9: 9 * DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 # I6: 5,6 => CTR => I6: 9 * DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 # D7: 5 => CTR => D7: 1,6 * PRF B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 + D7: 1,6 # D6: 5,6 => SOL * STA B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 + D7: 1,6 + D6: 5,6 * CNT 9 HDP CHAINS / 22 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ..835.........26......865...4.9..31...9.1...7..7..4...8.....4.235....9...72...... | initial |
| ..835.7.......26......865..24.97831...9.1..471.7..4...8.....4.235....9...72...1.. | autosolve |
| 968351724514792683723486591245978316689513247137624859896135472351247968472869135 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (15) B2: 1,9 F1: 1,9 E2: 4,9 H1: 2,9 C4: 5,6 A5: 5,6 B5: 3,8 B6: 3,8 F5: 3,5 I4: 5,6 G5: 2,8 G6: 2,8 C7: 1,6 F8: 1,7 I8: 6,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B1,B3: 2.. / B1 = 2 => 0 pairs (X) / B3 = 2 => 15 pairs (_) H1,H3: 2.. / H1 = 2 => 15 pairs (_) / H3 = 2 => 0 pairs (X) G5,G6: 2.. / G5 = 2 => 19 pairs (_) / G6 = 2 => 21 pairs (_) D8,E8: 2.. / D8 = 2 => 0 pairs (*) / E8 = 2 => 0 pairs (X) B1,H1: 2.. / B1 = 2 => 0 pairs (X) / H1 = 2 => 15 pairs (_) B3,H3: 2.. / B3 = 2 => 15 pairs (_) / H3 = 2 => 0 pairs (X) D5,G5: 2.. / D5 = 2 => 21 pairs (_) / G5 = 2 => 19 pairs (_) E6,E8: 2.. / E6 = 2 => 0 pairs (*) / E8 = 2 => 0 pairs (X) C2,C3: 3.. / C2 = 3 => 25 pairs (_) / C3 = 3 => 21 pairs (_) B5,B6: 3.. / B5 = 3 => 21 pairs (_) / B6 = 3 => 19 pairs (_) F5,E6: 3.. / F5 = 3 => 19 pairs (_) / E6 = 3 => 21 pairs (_) B5,F5: 3.. / B5 = 3 => 21 pairs (_) / F5 = 3 => 19 pairs (_) B6,E6: 3.. / B6 = 3 => 19 pairs (_) / E6 = 3 => 21 pairs (_) C8,A9: 4.. / C8 = 4 => 21 pairs (_) / A9 = 4 => 0 pairs (*) A1,I1: 4.. / A1 = 4 => 24 pairs (_) / I1 = 4 => 19 pairs (_) A2,C2: 5.. / A2 = 5 => 22 pairs (_) / C2 = 5 => 0 pairs (X) C4,A5: 5.. / C4 = 5 => 22 pairs (_) / A5 = 5 => 0 pairs (X) C4,I4: 5.. / C4 = 5 => 22 pairs (_) / I4 = 5 => 0 pairs (X) A2,A5: 5.. / A2 = 5 => 22 pairs (_) / A5 = 5 => 0 pairs (X) C2,C4: 5.. / C2 = 5 => 0 pairs (X) / C4 = 5 => 22 pairs (_) A1,B1: 6.. / A1 = 6 => 0 pairs (X) / B1 = 6 => 17 pairs (_) C4,A5: 6.. / C4 = 6 => 0 pairs (X) / A5 = 6 => 22 pairs (_) C4,I4: 6.. / C4 = 6 => 0 pairs (X) / I4 = 6 => 22 pairs (_) A5,D5: 6.. / A5 = 6 => 22 pairs (_) / D5 = 6 => 0 pairs (X) B1,B7: 6.. / B1 = 6 => 17 pairs (_) / B7 = 6 => 0 pairs (X) A2,A3: 7.. / A2 = 7 => 0 pairs (X) / A3 = 7 => 16 pairs (_) D2,D3: 7.. / D2 = 7 => 16 pairs (_) / D3 = 7 => 0 pairs (X) F7,F8: 7.. / F7 = 7 => 23 pairs (_) / F8 = 7 => 27 pairs (_) H7,H8: 7.. / H7 = 7 => 27 pairs (_) / H8 = 7 => 23 pairs (_) A2,D2: 7.. / A2 = 7 => 0 pairs (X) / D2 = 7 => 16 pairs (_) A3,D3: 7.. / A3 = 7 => 16 pairs (_) / D3 = 7 => 0 pairs (X) F7,H7: 7.. / F7 = 7 => 23 pairs (_) / H7 = 7 => 27 pairs (_) F8,H8: 7.. / F8 = 7 => 27 pairs (_) / H8 = 7 => 23 pairs (_) H2,I2: 8.. / H2 = 8 => 16 pairs (_) / I2 = 8 => 0 pairs (X) B5,B6: 8.. / B5 = 8 => 19 pairs (_) / B6 = 8 => 21 pairs (_) G5,G6: 8.. / G5 = 8 => 21 pairs (_) / G6 = 8 => 19 pairs (_) D8,D9: 8.. / D8 = 8 => 0 pairs (X) / D9 = 8 => 15 pairs (_) B5,G5: 8.. / B5 = 8 => 19 pairs (_) / G5 = 8 => 21 pairs (_) B6,G6: 8.. / B6 = 8 => 21 pairs (_) / G6 = 8 => 19 pairs (_) F1,E2: 9.. / F1 = 9 => 24 pairs (_) / E2 = 9 => 27 pairs (_) H6,I6: 9.. / H6 = 9 => 22 pairs (_) / I6 = 9 => 17 pairs (_) B7,A9: 9.. / B7 = 9 => 19 pairs (_) / A9 = 9 => 0 pairs (X) * DURATION: 0:01:00.441974 START: 04:03:57.548923 END: 04:04:57.990897 2019-05-01 * CP COUNT: (42) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A5,B2,B5,B6,C4,C7,E2,F1,F5,F8,G5,G6,H1,I4,I8) * ..835.7.......26......865..24.97831...9.1..471.7..4...8.....4.235....9...72...1.. * PAIR B2: 1,9 BLK 1 B1: 1,9,2,6 # reduction candidate for 1,9 B1: 1,9 => CTR * 6.835.724.....26...2..865..2469783155.96132471375248..861...4.235....9...72...1.. B1: 2,6 # 16 pairs B3: 1,9,2 # reduction candidate for 1,9 B3: 1,9 => CTR * .2835.79.....926......8652.24.97831...9.1..471.7..4..98615394.235....9...72...1.. B3: 2 # 15 pairs * PAIR B2: 1,9 ROW 2 I2: 1,9,3,4,8 # reduction candidate for 1,9 I2: 1,9 => CTR * .6835.72.5.374268.72.1865..2459783166.9.1..471.7..4...8.....4.235.42.9.84728..1.. I2: 3,4,8 # 15 pairs * PAIR B2: 1,9 COL B B7: 1,9,6 # reduction candidate for 1,9 B7: 6 => CTR * 6.835.7.4.....26....3.865..2469783155.9.1..471.7..4...8615..4.2354...9..972..31.. B7: 1,9 # 17 pairs * PAIR F1: 1,9 ROW 1 B1: 1,9,2,6 # reduction candidate for 1,9 B1: 1,9 => CTR * 6.835.724.....26...2..865..2469783155.96132471375248..861...4.235....9...72...1.. B1: 2,6 # 16 pairs I1: 1,9,4 # reduction candidate for 1,9 I1: 1,9 # 24 pairs * PAIR F1: 1,9 COL F F7: 1,9,3,5,7 # reduction candidate for 1,9 F7: 1,9 => CTR * ..835.7.......26......865..24.97831...9.1..471.7..4...8..53.47235...79...72..91.. F7: 3,5,7 # 15 pairs * PAIR E2: 4,9 ROW 2 A2: 4,9,5,7 # reduction candidate for 4,9 A2: 4,9 => CTR * ..835.7....57.26..7.3.865..2469783155.96132471375248..8.1...4.235....9...72...1.. A2: 5,7 # 16 pairs I2: 4,9,1,3,8 # reduction candidate for 4,9 I2: 4,9 => CTR * .6835.72.5137.268.7241865..2459783166.9.1..471.7..4...89....4.235.42.9.84728..1.. I2: 1,3,8 # 15 pairs * PAIR E2: 4,9 COL E E9: 4,9,3,6 # reduction candidate for 4,9 E9: 4,9 # 18 pairs E9: 3,6 # 18 pairs * PAIR H1: 2,9 BLK 3 H3: 2,9,3 # reduction candidate for 2,9 H3: 3 # 22 pairs H3: 2,9 # 19 pairs * PAIR H1: 2,9 ROW 1 B1: 2,9,1,6 # reduction candidate for 2,9 B1: 2,9 => CTR * 6.835.7.4.....26......865..2469783155.96132471375248..861...4.235....9...72...1.. B1: 1,6 # 16 pairs * PAIR A5: 5,6 ROW 5 D5: 5,6,2 # reduction candidate for 5,6 D5: 2 # 21 pairs D5: 5,6 # 19 pairs * PAIR F5: 3,5 COL F F7: 3,5,1,7,9 # reduction candidate for 3,5 F7: 3,5 # 27 pairs F9: 3,5,9 # reduction candidate for 3,5 F9: 3,5 # 16 pairs * PAIR I4: 5,6 BLK 6 H6: 5,6,9 # reduction candidate for 5,6 H6: 5,6 # 17 pairs I6: 5,6,9 # reduction candidate for 5,6 I6: 5,6 # 22 pairs * PAIR I4: 5,6 COL I I9: 5,6,3,8 # reduction candidate for 5,6 I9: 5,6 # 19 pairs I9: 3,8 # 17 pairs * PAIR C7: 1,6 BLK 7 B7: 1,6,9 # reduction candidate for 1,6 B7: 1,6 => CTR * ..835972.5..7426..72.1865942459783166392158471876342598.659743235482197.972.631.. B7: 9 # 19 pairs C8: 1,6,4 # reduction candidate for 1,6 C8: 1,6 => SOLVED * 968351724514792683723486591245978316689513247137624859896135472351247968472869135 C8: 4 # 21 pairs * PAIR C7: 1,6 ROW 7 D7: 1,6,5 # reduction candidate for 1,6 D7: 5 # 21 pairs D7: 1,6 # 19 pairs * PAIR F8: 1,7 BLK 8 F7: 1,7,3,5,9 # reduction candidate for 1,7 F7: 3,5,9 # 27 pairs F7: 1,7 # 24 pairs * PAIR I8: 6,8 BLK 9 H8: 6,8,7 # reduction candidate for 6,8 H8: 6,8 # 27 pairs H9: 6,8,3,5 # reduction candidate for 6,8 H9: 6,8 # 27 pairs I9: 6,8,3,5 # reduction candidate for 6,8 I9: 6,8 => CTR * ..835.7.......268.....865..2469783155.96132471375248698.1...4.235....9...72...1.. I9: 3,5 # 16 pairs * PAIR I8: 6,8 ROW 8 D8: 6,8,1,2,4 # reduction candidate for 6,8 D8: 6,8 => CTR * ..835972.....426...2..865..2469783155.9613.471.7..4...8....74.2354821976.724..1.. D8: 1,2,4 # 15 pairs * INCONCLUSIVE * SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20190227-absurd-base-pr-000.dot * REASONING * DIS # B1: 1,9 => CTR => B1: 2,6 * DIS # B3: 1,9 => CTR => B3: 2 * DIS # I2: 1,9 => CTR => I2: 3,4,8 * DIS # B7: 6 => CTR => B7: 1,9 * DIS # B1: 1,9 => CTR => B1: 2,6 * DIS # F7: 1,9 => CTR => F7: 3,5,7 * DIS # A2: 4,9 => CTR => A2: 5,7 * DIS # I2: 4,9 => CTR => I2: 1,3,8 * DIS # B1: 2,9 => CTR => B1: 1,6 * DIS # B7: 1,6 => CTR => B7: 9 * PRF # C8: 1,6 => SOL * DIS # I9: 6,8 => CTR => I9: 3,5 * DIS # D8: 6,8 => CTR => D8: 1,2,4 * CNT 13 HDP CHAINS / 45 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A5,B2,B5,B6,C4,C7,E2,F1,F5,F8,G5,G6,H1,I4,I8) * ..835.7.......26......865..24.97831...9.1..471.7..4...8.....4.235....9...72...1.. * PAIR B2: 1,9 BLK 1 B1: 1,9,2,6 # reduction candidate for 1,9 B1: 1,9 => CTR * 6.835.724.....26...2..865..2469783155.96132471375248..861...4.235....9...72...1.. B3: 1,9,2 # reduction candidate for 1,9 B3: 1,9 => CTR * .2835.79.....926......8652.24.97831...9.1..471.7..4..98615394.235....9...72...1.. * RESTART * PAIR B2: 1,9 ROW 2 I2: 1,9,3,4,8 # reduction candidate for 1,9 I2: 1,9 => CTR * .6835.72.5.374268.72.1865..2459783166.9.1..471.7..4...8.....4.235.42.9.84728..1.. * PAIR RESTART * PAIR F1: 1,9 ROW 1 I1: 1,9,4 # reduction candidate for 1,9 I1: 4 # 27 pairs I1: 1,9 # 24 pairs * PAIR F1: 1,9 COL F F7: 1,9,3,5,7 # reduction candidate for 1,9 F7: 1,9 => CTR * .6835.72......26...2..865..24.97831...9.1..471.7..4...8..53.47235...79...72..91.. * PAIR RESTART * PAIR F1: 1,9 ROW 1 I1: 1,9,4 # reduction candidate for 1,9 I1: 4 # 27 pairs I1: 1,9 # 24 pairs * PAIR E2: 4,9 ROW 2 A2: 4,9,5,7 # reduction candidate for 4,9 A2: 4,9 => CTR * .6835.72...57.26..723.8659.2469783155.96132471375248698.1...4.235....9...72...1.. * PAIR E2: 4,9 COL E E9: 4,9,3,6 # reduction candidate for 4,9 E9: 4,9 # 22 pairs E9: 3,6 # 21 pairs * PAIR RESTART * PAIR E2: 4,9 COL E E9: 4,9,3,6 # reduction candidate for 4,9 E9: 4,9 # 22 pairs E9: 3,6 # 21 pairs * PAIR A5: 5,6 ROW 5 D5: 5,6,2 # reduction candidate for 5,6 D5: 2 # 23 pairs D5: 5,6 # 20 pairs * PAIR F5: 3,5 COL F F7: 3,5,7 # reduction candidate for 3,5 F7: 3,5 # 28 pairs F9: 3,5,9 # reduction candidate for 3,5 F9: 3,5 => CTR * 468359721....426...2..865.42469783155.9613.471.7..4..98....74.2354821976.724..1.. * RESTART * PAIR RESTART * PAIR I4: 5,6 BLK 6 H6: 5,6,9 # reduction candidate for 5,6 H6: 5,6 # 28 pairs I6: 5,6,9 # reduction candidate for 5,6 I6: 5,6 => CTR * .68351729.1..926.492..865.124.97831...9.1..471.7..4...89....47235...79...728.91.. * RESTART * PAIR C7: 1,6 ROW 7 D7: 1,6,5 # reduction candidate for 1,6 D7: 5 => CTR * 968351724.1..926...23.8659124.97831...9.1..471.7..4..98915634723541279..6728491.. * PAIR RESTART * LEVEL 0 PASS 1 ROUND 2 (AUTO SOLVE) (A2,A3,A5,A9,C2,C4,C7,C8,D2,D3,D5,D7,D8,E6,E8,E9,H2,H6,H8,H9,I2,I4,I8,I9) * 968351724.1..926...23.8659124.97831..89.13247137..48.989..3547235...79...728.91.. * PAIR D5: 5,6 BLK 5 D6: 5,6,2 # reduction candidate for 5,6 D6: 5,6 => SOLVED * 968351724514792683723486591245978316689513247137624859896135472351247968472869135 * DURATION: 0:00:24.335582 START: 04:05:31.769799 END: 04:05:56.105381 2019-05-01 * SOLUTION FOUND * SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20190227-absurd-base-pr-001.dot * REASONING * DIS # B1: 1,9 => CTR => B1: 2,6 * DIS B1: 2,6 # B3: 1,9 => CTR => B3: 2 * DIS B1: 2,6 + B3: 2 # I2: 1,9 => CTR => I2: 3,4,8 * DIS B1: 2,6 + B3: 2 + I2: 3,4,8 # F7: 1,9 => CTR => F7: 3,5,7 * DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 # A2: 4,9 => CTR => A2: 5,7 * DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # F9: 3,5 => CTR => F9: 9 * DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 # I6: 5,6 => CTR => I6: 9 * DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 # D7: 5 => CTR => D7: 1,6 * PRF B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 + D7: 1,6 # D6: 5,6 => SOL * STA B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 + D7: 1,6 + D6: 5,6 * CNT 9 HDP CHAINS / 22 HYP OPENED
Header Info
http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Feb&YEAR=2019, 20190227, absurd
Solution
position: 968351724514792683723486591245978316689513247137624859896135472351247968472869135 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: 1,9 => CTR => B1: 2,6 * INC # B1: 2,6 => UNS * DIS # B3: 1,9 => CTR => B3: 2 * INC # B3: 2 => UNS * DIS # I2: 1,9 => CTR => I2: 3,4,8 * INC # I2: 3,4,8 => UNS * INC # B7: 1,9 => UNS * DIS # B7: 6 => CTR => B7: 1,9 * DIS # B1: 1,9 => CTR => B1: 2,6 * INC # B1: 2,6 => UNS * INC # I1: 1,9 => UNS * DIS # F7: 1,9 => CTR => F7: 3,5,7 * INC # F7: 3,5,7 => UNS * DIS # A2: 4,9 => CTR => A2: 5,7 * INC # A2: 5,7 => UNS * DIS # I2: 4,9 => CTR => I2: 1,3,8 * INC # I2: 1,3,8 => UNS * INC # E9: 4,9 => UNS * INC # E9: 3,6 => UNS * INC # H3: 2,9 => UNS * INC # H3: 3 => UNS * DIS # B1: 2,9 => CTR => B1: 1,6 * INC # B1: 1,6 => UNS * INC # D5: 5,6 => UNS * INC # D5: 2 => UNS * INC # F7: 3,5 => UNS * INC # F9: 3,5 => UNS * INC # H6: 5,6 => UNS * INC # I6: 5,6 => UNS * INC # I9: 5,6 => UNS * INC # I9: 3,8 => UNS * DIS # B7: 1,6 => CTR => B7: 9 * INC # B7: 9 => UNS * PRF # C8: 1,6 => SOL * INC # C8: 4 => UNS * INC # D7: 1,6 => UNS * INC # D7: 5 => UNS * INC # F7: 1,7 => UNS * INC # F7: 3,5,9 => UNS * INC # H8: 6,8 => UNS * INC # H9: 6,8 => UNS * DIS # I9: 6,8 => CTR => I9: 3,5 * INC # I9: 3,5 => UNS * DIS # D8: 6,8 => CTR => D8: 1,2,4 * INC # D8: 1,2,4 => UNS * CNT 45 HDP CHAINS / 45 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # B1: 1,9 => CTR => B1: 2,6 * DIS B1: 2,6 # B3: 1,9 => CTR => B3: 2 * DIS B1: 2,6 + B3: 2 # I2: 1,9 => CTR => I2: 3,4,8 * INC B1: 2,6 + B3: 2 + I2: 3,4,8 # I1: 1,9 => UNS * INC B1: 2,6 + B3: 2 + I2: 3,4,8 # I1: 4 => UNS * DIS B1: 2,6 + B3: 2 + I2: 3,4,8 # F7: 1,9 => CTR => F7: 3,5,7 * INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 # I1: 1,9 => UNS * INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 # I1: 4 => UNS * DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 # A2: 4,9 => CTR => A2: 5,7 * INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # E9: 4,9 => UNS * INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # E9: 3,6 => UNS * INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # E9: 4,9 => UNS * INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # E9: 3,6 => UNS * INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # D5: 5,6 => UNS * INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # D5: 2 => UNS * INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # F7: 3,5 => UNS * DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 # F9: 3,5 => CTR => F9: 9 * INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 # H6: 5,6 => UNS * DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 # I6: 5,6 => CTR => I6: 9 * INC B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 # D7: 1,6 => UNS * DIS B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 # D7: 5 => CTR => D7: 1,6 * PRF B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 + D7: 1,6 # D6: 5,6 => SOL * STA B1: 2,6 + B3: 2 + I2: 3,4,8 + F7: 3,5,7 + A2: 5,7 + F9: 9 + I6: 9 + D7: 1,6 + D6: 5,6 * CNT 22 HDP CHAINS / 22 HYP OPENED