Analysis of xx-top500-490-base.sdk
Contents
Original Sudoku
level: medium
position: ...7.1....6....4...5.......7.......2....5.6..3.........4....58.1..2........3...7. initial
Autosolve
position: .3.7.18...6.5..4...5.......7.......2....5.6..3........642...5831732859..5..3..271 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # A3: 4,9 => CTR => A3: 2,8 * DIS # E1: 4,9 => CTR => E1: 2,6 * DIS # C5: 4,9 => CTR => C5: 8 * PRF # C5: 8 => SOL * PRF # G3: 1,7 => SOL * DIS # G3: 3 => CTR => G3: 1,7 * DIS # I3: 7,9 => CTR => I3: 6 * PRF # I5: 7,9 => SOL * DIS # I5: 8 => CTR => I5: 7,9 * DIS # I6: 7,9 => CTR => I6: 4,5,8 * DIS # C5: 4,9 => CTR => C5: 8 * PRF # C5: 8 => SOL * DIS # A3: 4,9 => CTR => A3: 2,8 * DIS # H4: 1,3 => CTR => H4: 4,5,9 * DIS # H5: 1,3 => CTR => H5: 9 * PRF # H5: 9 => SOL * DIS # G3: 1,3 => CTR => G3: 7 * PRF # G3: 7 => SOL * DIS # E6: 2,4,6,9 => CTR => E6: 1,7 * PRF # G3: 1,7 => SOL * DIS # G3: 3 => CTR => G3: 1,7 * DIS # B5: 8,9 => CTR => B5: 1,2 * PRF # B6: 8,9 => SOL * DIS # C5: 4 => CTR => C5: 8,9 * PRF # E7: 1,9 => SOL * DIS # E7: 7 => CTR => E7: 1,9 * DIS # D4: 1,9 => CTR => D4: 4,6,8 * DIS # D6: 1,9 => CTR => D6: 4,6,8 * DIS # E7: 7,9 => CTR => E7: 1 * PRF # E7: 1 => SOL * DIS # F5: 7,9 => CTR => F5: 2,3,8 * PRF # F5: 2,3,8 => SOL * DIS # F6: 7,9 => CTR => F6: 2,4,6,8 * DIS # E3: 4,6 => CTR => E3: 2,3,9 * DIS # E4: 4,6 => CTR => E4: 1,3,9 * DIS # E6: 4,6 => CTR => E6: 1,2,7,9 * DIS # F6: 4,6 => CTR => F6: 2,7,8,9 * CNT 37 HDP CHAINS / 63 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # A3: 4,9 => CTR => A3: 2,8 * DIS A3: 2,8 # A1: 2 => CTR => A1: 4,9 * DIS A3: 2,8 + A1: 4,9 # C5: 4,9 => CTR => C5: 8 * PRF A3: 2,8 + A1: 4,9 + C5: 8 => SOL * STA A3: 2,8 + A1: 4,9 + C5: 8 * CNT 4 HDP CHAINS / 5 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...7.1....6....4...5.......7.......2....5.6..3.........4....58.1..2........3...7. | initial |
| .3.7.18...6.5..4...5.......7.......2....5.6..3........642...5831732859..5..3..271 | autosolve |
| 934761825267538419851429736716894352428153697395672148642917583173285964589346271 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (17) C1: 4,9 C2: 1,7 C3: 1,7 I2: 7,9 C4: 5,6 A5: 4,9 C6: 5,6 G4: 1,3 G6: 1,7 B9: 8,9 C9: 8,9 D7: 1,9 F7: 7,9 E9: 4,6 F9: 4,6 H8: 4,6 I8: 4,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C2,C3: 1.. / C2 = 1 => 0 pairs (X) / C3 = 1 => 21 pairs (_) D7,E7: 1.. / D7 = 1 => 0 pairs (X) / E7 = 1 => 0 pairs (_) C2,H2: 1.. / C2 = 1 => 0 pairs (X) / H2 = 1 => 21 pairs (_) B5,B6: 2.. / B5 = 2 => 17 pairs (_) / B6 = 2 => 0 pairs (X) B5,F5: 2.. / B5 = 2 => 17 pairs (_) / F5 = 2 => 0 pairs (X) F5,H5: 3.. / F5 = 3 => 0 pairs (*) / H5 = 3 => 0 pairs (X) G3,G4: 3.. / G3 = 3 => 0 pairs (X) / G4 = 3 => 0 pairs (_) A5,C5: 4.. / A5 = 4 => 17 pairs (_) / C5 = 4 => 0 pairs (X) E9,F9: 4.. / E9 = 4 => 15 pairs (_) / F9 = 4 => 0 pairs (X) H8,I8: 4.. / H8 = 4 => 0 pairs (X) / I8 = 4 => 15 pairs (_) C1,C5: 4.. / C1 = 4 => 17 pairs (_) / C5 = 4 => 0 pairs (X) I6,I8: 4.. / I6 = 4 => 0 pairs (X) / I8 = 4 => 15 pairs (_) H1,I1: 5.. / H1 = 5 => 0 pairs (X) / I1 = 5 => 17 pairs (_) C4,C6: 5.. / C4 = 5 => 15 pairs (_) / C6 = 5 => 15 pairs (_) C4,H4: 5.. / C4 = 5 => 15 pairs (_) / H4 = 5 => 15 pairs (_) I1,I6: 5.. / I1 = 5 => 17 pairs (_) / I6 = 5 => 0 pairs (X) C4,C6: 6.. / C4 = 6 => 15 pairs (_) / C6 = 6 => 15 pairs (_) E9,F9: 6.. / E9 = 6 => 0 pairs (X) / F9 = 6 => 15 pairs (_) H8,I8: 6.. / H8 = 6 => 15 pairs (_) / I8 = 6 => 0 pairs (X) C2,C3: 7.. / C2 = 7 => 21 pairs (_) / C3 = 7 => 0 pairs (X) E7,F7: 7.. / E7 = 7 => 0 pairs (X) / F7 = 7 => 0 pairs (_) C2,I2: 7.. / C2 = 7 => 21 pairs (_) / I2 = 7 => 0 pairs (X) F5,I5: 7.. / F5 = 7 => 0 pairs (X) / I5 = 7 => 0 pairs (_) E6,E7: 7.. / E6 = 7 => 0 pairs (*) / E7 = 7 => 0 pairs (X) G3,G6: 7.. / G3 = 7 => 0 pairs (*) / G6 = 7 => 0 pairs (X) A2,A3: 8.. / A2 = 8 => 17 pairs (_) / A3 = 8 => 18 pairs (_) I5,I6: 8.. / I5 = 8 => 0 pairs (X) / I6 = 8 => 0 pairs (_) B9,C9: 8.. / B9 = 8 => 0 pairs (*) / C9 = 8 => 0 pairs (X) A2,F2: 8.. / A2 = 8 => 17 pairs (_) / F2 = 8 => 18 pairs (_) C5,C9: 8.. / C5 = 8 => 0 pairs (*) / C9 = 8 => 0 pairs (X) B9,C9: 9.. / B9 = 9 => 0 pairs (X) / C9 = 9 => 0 pairs (_) * DURATION: 0:00:51.775338 START: 19:24:52.317923 END: 19:25:44.093261 2017-05-04 * CP COUNT: (31) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A5,B9,C1,C2,C3,C4,C6,C9,D7,E9,F7,F9,G4,G6,H8,I2,I8) * .3.7.18...6.5..4...5.......7.......2....5.6..3........642...5831732859..5..3..271 * PAIR C1: 4,9 BLK 1 A1: 4,9,2 # reduction candidate for 4,9 A1: 4,9 # 22 pairs A3: 4,9,2,8 # reduction candidate for 4,9 A3: 4,9 => CTR * 23.7.18..86.5..4...5.......7.......2....5763.3.....7..6421795831732859..5..3..271 A3: 2,8 # 18 pairs * PAIR C1: 4,9 ROW 1 E1: 4,9,2,6 # reduction candidate for 4,9 E1: 4,9 => CTR * 23.7.18...6.5..4...5....3..7.....1.2.2.1576383.....7..642.795831732859..5.83..271 E1: 2,6 # 18 pairs * PAIR C1: 4,9 COL C C5: 4,9,8 # reduction candidate for 4,9 C5: 4,9 => CTR * .3.7.18...6.5..4...5.......7.......2....576383.....7..642.795831732859..5983..271 C5: 8 => SOLVED * 934761825267538419851429736716894352428153697395672148642917583173285964589346271 * PAIR C3: 1,7 ROW 3 G3: 1,7,3 # reduction candidate for 1,7 G3: 1,7 => SOLVED * 934761825267538419851429736716894352428153697395672148642917583173285964589346271 G3: 3 => CTR * .3.7.18...6.5..4...5....3..7.....1.2....5763.3...127..6421795831732859..5..3..271 * PAIR I2: 7,9 BLK 3 I3: 7,9,6 # reduction candidate for 7,9 I3: 7,9 => CTR * .3.7.18...6.5..4...5....3..7.....1.2.2.1576383.....7..642.795831732859..5.83..271 I3: 6 # 14 pairs * PAIR I2: 7,9 COL I I5: 7,9,8 # reduction candidate for 7,9 I5: 7,9 => SOLVED * 934761825267538419851429736716894352428153697395672148642917583173285964589346271 I5: 8 => CTR * .3.7.18...6.5..4...5....3..7.....1.2.2.1576383........642.795831732859..5.83..271 I6: 7,9,4,5,8 # reduction candidate for 7,9 I6: 7,9 => CTR * .3.7618.5.6.5..4...5....3.67.....1.2.2.1576383........642.795831732859645983..271 I6: 4,5,8 # 17 pairs * PAIR A5: 4,9 BLK 4 C5: 4,9,8 # reduction candidate for 4,9 C5: 4,9 => CTR * .3.7.18...6.5..4...5.......7.......2....576383.....7..642.795831732859..5983..271 C5: 8 => SOLVED * 934761825267538419851429736716894352428153697395672148642917583173285964589346271 * PAIR A5: 4,9 COL A A1: 4,9,2 # reduction candidate for 4,9 A1: 4,9 # 22 pairs A3: 4,9,2,8 # reduction candidate for 4,9 A3: 4,9 => CTR * 23.7.18..86.5..4...5.......7.......2....5763.3.....7..6421795831732859..5..3..271 A3: 2,8 # 18 pairs * PAIR G4: 1,3 BLK 6 H4: 1,3,4,5,9 # reduction candidate for 1,3 H4: 1,3 => CTR * .3.7.18...6.5..4...5.......7.5.....2....5.6..3.6......642...5831732859..5..3..271 H4: 4,5,9 # 17 pairs H5: 1,3,9 # reduction candidate for 1,3 H5: 1,3 => CTR * .3.7.18...6.5..4...5....3..7.....1.2.2.15763.3.....7..642.795831732859..5..3..271 H5: 9 => SOLVED * 934761825267538419851429736716894352428153697395672148642917583173285964589346271 * PAIR G4: 1,3 ROW 4 E4: 1,3,4,6,9 # reduction candidate for 1,3 E4: 1,3 # 21 pairs E4: 4,6,9 # 20 pairs * PAIR G4: 1,3 COL G G3: 1,3,7 # reduction candidate for 1,3 G3: 1,3 => CTR * .3.7.18...6.5..4...5.......7.......2....5763.3.....7..6421795831732859..5..3..271 G3: 7 => SOLVED * 934761825267538419851429736716894352428153697395672148642917583173285964589346271 * PAIR G6: 1,7 ROW 6 E6: 1,7,2,4,6,9 # reduction candidate for 1,7 E6: 2,4,6,9 => CTR * .3.7.18...6.5..4...5.......7...1.3.2....536.73....71.86421795831732859.45..3..271 E6: 1,7 # 18 pairs * PAIR G6: 1,7 COL G G3: 1,7,3 # reduction candidate for 1,7 G3: 1,7 => SOLVED * 934761825267538419851429736716894352428153697395672148642917583173285964589346271 G3: 3 => CTR * .3.7.18...6.5..4...5....3..7.....1.2....5763.3...127..6421795831732859..5..3..271 * PAIR B9: 8,9 COL B B4: 8,9,1 # reduction candidate for 8,9 B4: 8,9 # 20 pairs B5: 8,9,1,2 # reduction candidate for 8,9 B5: 8,9 => CTR * .3.7.18...6.5..4...5.......7.......2....5263732....1..642...5831732859..5..3..271 B5: 1,2 # 18 pairs B6: 8,9,1,2 # reduction candidate for 8,9 B6: 8,9 => SOLVED * 934761825267538419851429736716894352428153697395672148642917583173285964589346271 B6: 1,2 # 18 pairs * PAIR C9: 8,9 COL C C5: 8,9,4 # reduction candidate for 8,9 C5: 4 => CTR * .397.18...6.5..4...5.......7.......29.4.576383.....7..642.795831732859..5983..271 C5: 8,9 # 17 pairs * PAIR D7: 1,9 BLK 8 E7: 1,9,7 # reduction candidate for 1,9 E7: 1,9 => SOLVED * 934761825267538419851429736716894352428153697395672148642917583173285964589346271 E7: 7 => CTR * .3.7.18...6.5..4...5.......7.......2....5.6.73....71.86421795831732859.45..3..271 * PAIR D7: 1,9 COL D D4: 1,9,4,6,8 # reduction candidate for 1,9 D4: 1,9 => CTR * .3.7618.5.6.5..4...5.4....6786..4.52...85.6..3.56...48642...583173285964598346271 D4: 4,6,8 # 17 pairs D5: 1,9,8 # reduction candidate for 1,9 D5: 1,9 # 18 pairs D6: 1,9,4,6,8 # reduction candidate for 1,9 D6: 1,9 => CTR * .3.7618.5.6.5..4...5.4....67856...42...85.6..3.6..4.58642...583173285964598346271 D6: 4,6,8 # 17 pairs * PAIR F7: 7,9 BLK 8 E7: 7,9,1 # reduction candidate for 7,9 E7: 7,9 => CTR * .3.7.18...6.5..4...5.......7.......2....5.6.73.....1.86421..5831732859.45..3..271 E7: 1 => SOLVED * 934761825267538419851429736716894352428153697395672148642917583173285964589346271 * PAIR F7: 7,9 COL F F5: 7,9,2,3,8 # reduction candidate for 7,9 F5: 7,9 => CTR * .3.7.18...6.5..4...5....3..7.....1.2.2.15.63.31....7..6429..5831732859..5..3..271 F5: 2,3,8 => SOLVED * 934761825267538419851429736716894352428153697395672148642917583173285964589346271 F6: 7,9,2,4,6,8 # reduction candidate for 7,9 F6: 7,9 => CTR * .3.761825.6753.419.51...7367...1.3.24...536973...271.8642.795831732859645..3..271 F6: 2,4,6,8 # 17 pairs * PAIR E9: 4,6 COL E E1: 4,6,2,9 # reduction candidate for 4,6 E1: 4,6 # 18 pairs E3: 4,6,2,3,9 # reduction candidate for 4,6 E3: 4,6 => CTR * .3.7.18...6.5..4...5....3..7.....1.2.2.1576383.....7..642.795831732859..5.83..271 E3: 2,3,9 # 17 pairs E4: 4,6,1,3,9 # reduction candidate for 4,6 E4: 4,6 => CTR * .3.7.18...6.5.84..85.......7.......2....576383...127..6421795831732859..5.83..271 E4: 1,3,9 # 17 pairs E6: 4,6,1,2,7,9 # reduction candidate for 4,6 E6: 4,6 => CTR * .3.7.18...6.5..4...5.......7...1.3.2....536.73........642.795831732859..5..3..271 E6: 1,2,7,9 # 17 pairs * PAIR F9: 4,6 COL F F3: 4,6,2,3,8,9 # reduction candidate for 4,6 F3: 4,6 # 18 pairs F4: 4,6,3,8,9 # reduction candidate for 4,6 F4: 4,6 # 18 pairs F6: 4,6,2,7,8,9 # reduction candidate for 4,6 F6: 4,6 => CTR * .3.7.18...6.5..4...5....3..7.....1.2....5.63.3.....7..642...5831732859..5..3..271 F6: 2,7,8,9 # 17 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-top500-490-base-pr-000.dot * REASONING * DIS # A3: 4,9 => CTR => A3: 2,8 * DIS # E1: 4,9 => CTR => E1: 2,6 * DIS # C5: 4,9 => CTR => C5: 8 * PRF # C5: 8 => SOL * PRF # G3: 1,7 => SOL * DIS # G3: 3 => CTR => G3: 1,7 * DIS # I3: 7,9 => CTR => I3: 6 * PRF # I5: 7,9 => SOL * DIS # I5: 8 => CTR => I5: 7,9 * DIS # I6: 7,9 => CTR => I6: 4,5,8 * DIS # C5: 4,9 => CTR => C5: 8 * PRF # C5: 8 => SOL * DIS # A3: 4,9 => CTR => A3: 2,8 * DIS # H4: 1,3 => CTR => H4: 4,5,9 * DIS # H5: 1,3 => CTR => H5: 9 * PRF # H5: 9 => SOL * DIS # G3: 1,3 => CTR => G3: 7 * PRF # G3: 7 => SOL * DIS # E6: 2,4,6,9 => CTR => E6: 1,7 * PRF # G3: 1,7 => SOL * DIS # G3: 3 => CTR => G3: 1,7 * DIS # B5: 8,9 => CTR => B5: 1,2 * PRF # B6: 8,9 => SOL * DIS # C5: 4 => CTR => C5: 8,9 * PRF # E7: 1,9 => SOL * DIS # E7: 7 => CTR => E7: 1,9 * DIS # D4: 1,9 => CTR => D4: 4,6,8 * DIS # D6: 1,9 => CTR => D6: 4,6,8 * DIS # E7: 7,9 => CTR => E7: 1 * PRF # E7: 1 => SOL * DIS # F5: 7,9 => CTR => F5: 2,3,8 * PRF # F5: 2,3,8 => SOL * DIS # F6: 7,9 => CTR => F6: 2,4,6,8 * DIS # E3: 4,6 => CTR => E3: 2,3,9 * DIS # E4: 4,6 => CTR => E4: 1,3,9 * DIS # E6: 4,6 => CTR => E6: 1,2,7,9 * DIS # F6: 4,6 => CTR => F6: 2,7,8,9 * CNT 37 HDP CHAINS / 63 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A5,B9,C1,C2,C3,C4,C6,C9,D7,E9,F7,F9,G4,G6,H8,I2,I8) * .3.7.18...6.5..4...5.......7.......2....5.6..3........642...5831732859..5..3..271 * PAIR C1: 4,9 BLK 1 A1: 4,9,2 # reduction candidate for 4,9 A1: 4,9 # 22 pairs A3: 4,9,2,8 # reduction candidate for 4,9 A3: 4,9 => CTR * 23.7.18..86.5..4...5.......7.......2....5763.3.....7..6421795831732859..5..3..271 * RESTART * PAIR C1: 4,9 BLK 1 A1: 4,9,2 # reduction candidate for 4,9 A1: 2 => CTR * 2347.18..961538427857...31.7....31.242.15763.3.....7..642.795831732859..5..3..271 * PAIR C1: 4,9 COL C C5: 4,9,8 # reduction candidate for 4,9 C5: 4,9 => CTR * .3.7.18...6.5..4...5.......7.......2....576383.....7..642.795831732859..5983..271 C5: 8 => SOLVED * 934761825267538419851429736716894352428153697395672148642917583173285964589346271 * DURATION: 0:00:07.162766 START: 19:26:43.087285 END: 19:26:50.250051 2017-05-04 * SOLUTION FOUND * SAVE PR GRAPH xx-top500-490-base-pr-001.dot * REASONING * DIS # A3: 4,9 => CTR => A3: 2,8 * DIS A3: 2,8 # A1: 2 => CTR => A1: 4,9 * DIS A3: 2,8 + A1: 4,9 # C5: 4,9 => CTR => C5: 8 * PRF A3: 2,8 + A1: 4,9 + C5: 8 => SOL * STA A3: 2,8 + A1: 4,9 + C5: 8 * CNT 4 HDP CHAINS / 5 HYP OPENED
Header Info
Top 500 Minimum 17 490 solution: 934761825267538419851429736716894352428153697395672148642917583173285964589346271 info: 96229 FNBTHXYK S8.f 44994 http://www.sfsudoku.com/su17ExtremeDiff500.txt from http://www.minimumsudoku.com/
Solution
position: 934761825267538419851429736716894352428153697395672148642917583173285964589346271 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: 4,9 => UNS * DIS # A3: 4,9 => CTR => A3: 2,8 * INC # A3: 2,8 => UNS * DIS # E1: 4,9 => CTR => E1: 2,6 * INC # E1: 2,6 => UNS * DIS # C5: 4,9 => CTR => C5: 8 * PRF # C5: 8 => SOL * PRF # G3: 1,7 => SOL * DIS # G3: 3 => CTR => G3: 1,7 * DIS # I3: 7,9 => CTR => I3: 6 * INC # I3: 6 => UNS * PRF # I5: 7,9 => SOL * DIS # I5: 8 => CTR => I5: 7,9 * DIS # I6: 7,9 => CTR => I6: 4,5,8 * INC # I6: 4,5,8 => UNS * DIS # C5: 4,9 => CTR => C5: 8 * PRF # C5: 8 => SOL * INC # A1: 4,9 => UNS * DIS # A3: 4,9 => CTR => A3: 2,8 * INC # A3: 2,8 => UNS * DIS # H4: 1,3 => CTR => H4: 4,5,9 * INC # H4: 4,5,9 => UNS * DIS # H5: 1,3 => CTR => H5: 9 * PRF # H5: 9 => SOL * INC # E4: 1,3 => UNS * INC # E4: 4,6,9 => UNS * DIS # G3: 1,3 => CTR => G3: 7 * PRF # G3: 7 => SOL * INC # E6: 1,7 => UNS * DIS # E6: 2,4,6,9 => CTR => E6: 1,7 * PRF # G3: 1,7 => SOL * DIS # G3: 3 => CTR => G3: 1,7 * INC # B4: 8,9 => UNS * DIS # B5: 8,9 => CTR => B5: 1,2 * INC # B5: 1,2 => UNS * PRF # B6: 8,9 => SOL * INC # B6: 1,2 => UNS * INC # C5: 8,9 => UNS * DIS # C5: 4 => CTR => C5: 8,9 * PRF # E7: 1,9 => SOL * DIS # E7: 7 => CTR => E7: 1,9 * DIS # D4: 1,9 => CTR => D4: 4,6,8 * INC # D4: 4,6,8 => UNS * INC # D5: 1,9 => UNS * DIS # D6: 1,9 => CTR => D6: 4,6,8 * INC # D6: 4,6,8 => UNS * DIS # E7: 7,9 => CTR => E7: 1 * PRF # E7: 1 => SOL * DIS # F5: 7,9 => CTR => F5: 2,3,8 * PRF # F5: 2,3,8 => SOL * DIS # F6: 7,9 => CTR => F6: 2,4,6,8 * INC # F6: 2,4,6,8 => UNS * INC # E1: 4,6 => UNS * DIS # E3: 4,6 => CTR => E3: 2,3,9 * INC # E3: 2,3,9 => UNS * DIS # E4: 4,6 => CTR => E4: 1,3,9 * INC # E4: 1,3,9 => UNS * DIS # E6: 4,6 => CTR => E6: 1,2,7,9 * INC # E6: 1,2,7,9 => UNS * INC # F3: 4,6 => UNS * INC # F4: 4,6 => UNS * DIS # F6: 4,6 => CTR => F6: 2,7,8,9 * INC # F6: 2,7,8,9 => UNS * CNT 63 HDP CHAINS / 63 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A1: 4,9 => UNS * DIS # A3: 4,9 => CTR => A3: 2,8 * INC A3: 2,8 # A1: 4,9 => UNS * DIS A3: 2,8 # A1: 2 => CTR => A1: 4,9 * DIS A3: 2,8 + A1: 4,9 # C5: 4,9 => CTR => C5: 8 * PRF A3: 2,8 + A1: 4,9 + C5: 8 => SOL * STA A3: 2,8 + A1: 4,9 + C5: 8 * CNT 6 HDP CHAINS / 5 HYP OPENED