Analysis of xx-ph-01000813-13_07-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..5...9..7...4......3.....5...5.....86..85....7.7.3..8...3.8...6.....72.1. initial
Autosolve
position: 98.7..6..5...9..7.7.4......3.....5...5.....86..85....7.7.3..8...3.8..76.8...72.1. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000017
List of important HDP chains detected for A6,A7: 6..:
* DIS # A7: 6 # E3: 1,2 => CTR => E3: 3,5,6,8 * CNT 1 HDP CHAINS / 40 HYP OPENED
List of important HDP chains detected for C1,C2: 3..:
* DIS # C2: 3 # C4: 1,2 => CTR => C4: 6,7,9 * CNT 1 HDP CHAINS / 34 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:48.674637
List of important HDP chains detected for A6,A7: 6..:
* DIS # A7: 6 # E3: 1,2 => CTR => E3: 3,5,6,8 * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 # C1: 1,2 => CTR => C1: 3 * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 # I1: 4 => CTR => I1: 1,2 * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 # E4: 1,2 => CTR => E4: 4,6,8 * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 # G3: 1,2 => CTR => G3: 3,9 * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 # I3: 1,2 => CTR => I3: 3,5,8,9 * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 # B3: 6 => CTR => B3: 1,2 * PRF # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 + B3: 1,2 # D5: 1,2 => SOL * STA # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 + B3: 1,2 + D5: 1,2 * CNT 8 HDP CHAINS / 56 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is very deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.7..6..5...9..7...4......3.....5...5.....86..85....7.7.3..8...3.8...6.....72.1. | initial |
| 98.7..6..5...9..7.7.4......3.....5...5.....86..85....7.7.3..8...3.8..76.8...72.1. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C1,C2: 3.. / C1 = 3 => 0 pairs (_) / C2 = 3 => 2 pairs (_) G9,I9: 3.. / G9 = 3 => 0 pairs (_) / I9 = 3 => 1 pairs (_) C9,I9: 5.. / C9 = 5 => 0 pairs (_) / I9 = 5 => 1 pairs (_) A6,A7: 6.. / A6 = 6 => 0 pairs (_) / A7 = 6 => 3 pairs (_) C4,C5: 7.. / C4 = 7 => 0 pairs (_) / C5 = 7 => 0 pairs (_) F4,F5: 7.. / F4 = 7 => 0 pairs (_) / F5 = 7 => 0 pairs (_) C4,F4: 7.. / C4 = 7 => 0 pairs (_) / F4 = 7 => 0 pairs (_) C5,F5: 7.. / C5 = 7 => 0 pairs (_) / F5 = 7 => 0 pairs (_) I2,I3: 8.. / I2 = 8 => 0 pairs (_) / I3 = 8 => 0 pairs (_) E4,F4: 8.. / E4 = 8 => 0 pairs (_) / F4 = 8 => 0 pairs (_) F2,I2: 8.. / F2 = 8 => 0 pairs (_) / I2 = 8 => 0 pairs (_) E3,E4: 8.. / E3 = 8 => 0 pairs (_) / E4 = 8 => 0 pairs (_) * DURATION: 0:00:08.817943 START: 06:47:08.046372 END: 06:47:16.864315 2020-10-03 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A6,A7: 6.. / A6 = 6 ==> 0 pairs (_) / A7 = 6 ==> 3 pairs (_) C1,C2: 3.. / C1 = 3 ==> 0 pairs (_) / C2 = 3 ==> 2 pairs (_) C9,I9: 5.. / C9 = 5 ==> 0 pairs (_) / I9 = 5 ==> 1 pairs (_) G9,I9: 3.. / G9 = 3 ==> 0 pairs (_) / I9 = 3 ==> 1 pairs (_) E3,E4: 8.. / E3 = 8 ==> 0 pairs (_) / E4 = 8 ==> 0 pairs (_) F2,I2: 8.. / F2 = 8 ==> 0 pairs (_) / I2 = 8 ==> 0 pairs (_) E4,F4: 8.. / E4 = 8 ==> 0 pairs (_) / F4 = 8 ==> 0 pairs (_) I2,I3: 8.. / I2 = 8 ==> 0 pairs (_) / I3 = 8 ==> 0 pairs (_) C5,F5: 7.. / C5 = 7 ==> 0 pairs (_) / F5 = 7 ==> 0 pairs (_) C4,F4: 7.. / C4 = 7 ==> 0 pairs (_) / F4 = 7 ==> 0 pairs (_) F4,F5: 7.. / F4 = 7 ==> 0 pairs (_) / F5 = 7 ==> 0 pairs (_) C4,C5: 7.. / C4 = 7 ==> 0 pairs (_) / C5 = 7 ==> 0 pairs (_) * DURATION: 0:00:57.700373 START: 06:47:16.865550 END: 06:48:14.565923 2020-10-03 * REASONING A6,A7: 6.. * DIS # A7: 6 # E3: 1,2 => CTR => E3: 3,5,6,8 * CNT 1 HDP CHAINS / 40 HYP OPENED * REASONING C1,C2: 3.. * DIS # C2: 3 # C4: 1,2 => CTR => C4: 6,7,9 * CNT 1 HDP CHAINS / 34 HYP OPENED * DCP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) A6,A7: 6.. / A6 = 6 => 0 pairs (X) / A7 = 6 ==> 0 pairs (*) * DURATION: 0:00:48.672255 START: 06:48:14.705676 END: 06:49:03.377931 2020-10-03 * REASONING A6,A7: 6.. * DIS # A7: 6 # E3: 1,2 => CTR => E3: 3,5,6,8 * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 # C1: 1,2 => CTR => C1: 3 * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 # I1: 4 => CTR => I1: 1,2 * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 # E4: 1,2 => CTR => E4: 4,6,8 * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 # G3: 1,2 => CTR => G3: 3,9 * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 # I3: 1,2 => CTR => I3: 3,5,8,9 * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 # B3: 6 => CTR => B3: 1,2 * PRF # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 + B3: 1,2 # D5: 1,2 => SOL * STA # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 + B3: 1,2 + D5: 1,2 * CNT 8 HDP CHAINS / 56 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
1000813;13_07;GP;25;11.50;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A6,A7: 6..:
* INC # A7: 6 # E1: 1,2 => UNS * INC # A7: 6 # D2: 1,2 => UNS * DIS # A7: 6 # E3: 1,2 => CTR => E3: 3,5,6,8 * INC # A7: 6 + E3: 3,5,6,8 # B3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # G3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # D4: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # D5: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # E1: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # D2: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # B3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # G3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # D4: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # D5: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # G9: 4,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I9: 4,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # B4: 4,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # B6: 4,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # C7: 5,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # C8: 5,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I9: 5,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I9: 3,4 => UNS * INC # A7: 6 + E3: 3,5,6,8 # E1: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # D2: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # B3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # G3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # D4: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # D5: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # G9: 4,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I9: 4,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # B4: 4,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # B6: 4,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # C7: 5,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # C8: 5,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I9: 5,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I9: 3,4 => UNS * INC # A7: 6 + E3: 3,5,6,8 => UNS * INC # A6: 6 => UNS * CNT 40 HDP CHAINS / 40 HYP OPENED
Full list of HDP chains traversed for C1,C2: 3..:
* INC # C2: 3 # B2: 1,2 => UNS * INC # C2: 3 # B3: 1,2 => UNS * INC # C2: 3 # E1: 1,2 => UNS * INC # C2: 3 # I1: 1,2 => UNS * DIS # C2: 3 # C4: 1,2 => CTR => C4: 6,7,9 * INC # C2: 3 + C4: 6,7,9 # C5: 1,2 => UNS * INC # C2: 3 + C4: 6,7,9 # C7: 1,2 => UNS * INC # C2: 3 + C4: 6,7,9 # C8: 1,2 => UNS * INC # C2: 3 + C4: 6,7,9 # B2: 1,2 => UNS * INC # C2: 3 + C4: 6,7,9 # B3: 1,2 => UNS * INC # C2: 3 + C4: 6,7,9 # E1: 1,2 => UNS * INC # C2: 3 + C4: 6,7,9 # I1: 1,2 => UNS * INC # C2: 3 + C4: 6,7,9 # C5: 1,2 => UNS * INC # C2: 3 + C4: 6,7,9 # C7: 1,2 => UNS * INC # C2: 3 + C4: 6,7,9 # C8: 1,2 => UNS * INC # C2: 3 + C4: 6,7,9 # D9: 4,9 => UNS * INC # C2: 3 + C4: 6,7,9 # G9: 4,9 => UNS * INC # C2: 3 + C4: 6,7,9 # I9: 4,9 => UNS * INC # C2: 3 + C4: 6,7,9 # B4: 4,9 => UNS * INC # C2: 3 + C4: 6,7,9 # B6: 4,9 => UNS * INC # C2: 3 + C4: 6,7,9 # B2: 1,2 => UNS * INC # C2: 3 + C4: 6,7,9 # B3: 1,2 => UNS * INC # C2: 3 + C4: 6,7,9 # E1: 1,2 => UNS * INC # C2: 3 + C4: 6,7,9 # I1: 1,2 => UNS * INC # C2: 3 + C4: 6,7,9 # C5: 1,2 => UNS * INC # C2: 3 + C4: 6,7,9 # C7: 1,2 => UNS * INC # C2: 3 + C4: 6,7,9 # C8: 1,2 => UNS * INC # C2: 3 + C4: 6,7,9 # D9: 4,9 => UNS * INC # C2: 3 + C4: 6,7,9 # G9: 4,9 => UNS * INC # C2: 3 + C4: 6,7,9 # I9: 4,9 => UNS * INC # C2: 3 + C4: 6,7,9 # B4: 4,9 => UNS * INC # C2: 3 + C4: 6,7,9 # B6: 4,9 => UNS * INC # C2: 3 + C4: 6,7,9 => UNS * INC # C1: 3 => UNS * CNT 34 HDP CHAINS / 34 HYP OPENED
Full list of HDP chains traversed for C9,I9: 5..:
* INC # I9: 5 # C7: 6,9 => UNS * INC # I9: 5 # B9: 6,9 => UNS * INC # I9: 5 # D9: 6,9 => UNS * INC # I9: 5 # D9: 4 => UNS * INC # I9: 5 # C4: 6,9 => UNS * INC # I9: 5 # C4: 1,2,7 => UNS * INC # I9: 5 => UNS * INC # C9: 5 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for G9,I9: 3..:
* INC # I9: 3 # H7: 4,9 => UNS * INC # I9: 3 # I7: 4,9 => UNS * INC # I9: 3 # I8: 4,9 => UNS * INC # I9: 3 # B9: 4,9 => UNS * INC # I9: 3 # D9: 4,9 => UNS * INC # I9: 3 # G5: 4,9 => UNS * INC # I9: 3 # G6: 4,9 => UNS * INC # I9: 3 => UNS * INC # G9: 3 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for E3,E4: 8..:
* INC # E3: 8 => UNS * INC # E4: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F2,I2: 8..:
* INC # F2: 8 => UNS * INC # I2: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E4,F4: 8..:
* INC # E4: 8 => UNS * INC # F4: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for I2,I3: 8..:
* INC # I2: 8 => UNS * INC # I3: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for C5,F5: 7..:
* INC # C5: 7 => UNS * INC # F5: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for C4,F4: 7..:
* INC # C4: 7 => UNS * INC # F4: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F4,F5: 7..:
* INC # F4: 7 => UNS * INC # F5: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for C4,C5: 7..:
* INC # C4: 7 => UNS * INC # C5: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for A6,A7: 6..:
* INC # A7: 6 # E1: 1,2 => UNS * INC # A7: 6 # D2: 1,2 => UNS * DIS # A7: 6 # E3: 1,2 => CTR => E3: 3,5,6,8 * INC # A7: 6 + E3: 3,5,6,8 # B3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # G3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # D4: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # D5: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # E1: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # D2: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # B3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # G3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # D4: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # D5: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # G9: 4,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I9: 4,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # B4: 4,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # B6: 4,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # C7: 5,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # C8: 5,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I9: 5,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I9: 3,4 => UNS * INC # A7: 6 + E3: 3,5,6,8 # E1: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # D2: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # B3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # G3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I3: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # D4: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # D5: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # G9: 4,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I9: 4,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # B4: 4,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # B6: 4,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # C7: 5,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # C8: 5,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I9: 5,9 => UNS * INC # A7: 6 + E3: 3,5,6,8 # I9: 3,4 => UNS * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 # C1: 1,2 => CTR => C1: 3 * INC # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 # I1: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 # I1: 1,2 => UNS * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 # I1: 4 => CTR => I1: 1,2 * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 # E4: 1,2 => CTR => E4: 4,6,8 * INC # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 # E5: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 # E6: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 # E5: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 # E6: 1,2 => UNS * INC # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 # B3: 1,2 => UNS * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 # G3: 1,2 => CTR => G3: 3,9 * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 # I3: 1,2 => CTR => I3: 3,5,8,9 * INC # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 # B3: 1,2 => UNS * DIS # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 # B3: 6 => CTR => B3: 1,2 * INC # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 + B3: 1,2 # D4: 1,2 => UNS * PRF # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 + B3: 1,2 # D5: 1,2 => SOL * STA # A7: 6 + E3: 3,5,6,8 # E1: 1,2 + C1: 3 + I1: 1,2 + E4: 4,6,8 + G3: 3,9 + I3: 3,5,8,9 + B3: 1,2 + D5: 1,2 * CNT 54 HDP CHAINS / 56 HYP OPENED