Contents
level: deep
Time used: 0:00:00.000006
List of important HDP chains detected for H4,I5: 2..:
* DIS # I5: 2 # H1: 4,6 => CTR => H1: 1,2,3 * DIS # I5: 2 + H1: 1,2,3 # H6: 5,6 => CTR => H6: 3 * DIS # I5: 2 + H1: 1,2,3 + H6: 3 # H7: 5,6 => CTR => H7: 4 * DIS # I5: 2 + H1: 1,2,3 + H6: 3 + H7: 4 # H9: 5,6 => CTR => H9: 1 * DIS # I5: 2 + H1: 1,2,3 + H6: 3 + H7: 4 + H9: 1 => CTR => I5: 6,7 * STA I5: 6,7 * CNT 5 HDP CHAINS / 19 HYP OPENED
List of important HDP chains detected for B8,I8: 4..:
* DIS # I8: 4 # H1: 2,6 => CTR => H1: 1,3,4 * DIS # I8: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1 * DIS # I8: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2 * DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3 * DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => I8: 7,8 * STA I8: 7,8 * CNT 5 HDP CHAINS / 18 HYP OPENED
List of important HDP chains detected for C7,H7: 4..:
* DIS # C7: 4 # H1: 2,6 => CTR => H1: 1,3,4 * DIS # C7: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1 * DIS # C7: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2 * DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3 * DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => C7: 2,5,8 * STA C7: 2,5,8 * CNT 5 HDP CHAINS / 18 HYP OPENED
List of important HDP chains detected for H7,I8: 4..:
* DIS # I8: 4 # H1: 2,6 => CTR => H1: 1,3,4 * DIS # I8: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1 * DIS # I8: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2 * DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3 * DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => I8: 7,8 * STA I8: 7,8 * CNT 5 HDP CHAINS / 18 HYP OPENED
List of important HDP chains detected for C7,B8: 4..:
* DIS # C7: 4 # H1: 2,6 => CTR => H1: 1,3,4 * DIS # C7: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1 * DIS # C7: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2 * DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3 * DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => C7: 2,5,8 * STA C7: 2,5,8 * CNT 5 HDP CHAINS / 18 HYP OPENED
List of important HDP chains detected for I2,G3: 8..:
* DIS # G3: 8 # B8: 1,7 => CTR => B8: 2,3,4 * CNT 1 HDP CHAINS / 30 HYP OPENED
List of important HDP chains detected for G5,H6: 3..:
* DIS # G5: 3 # H1: 1,6 => CTR => H1: 2,3,4 * DIS # G5: 3 + H1: 2,3,4 # H4: 5,6 => CTR => H4: 2 * DIS # G5: 3 + H1: 2,3,4 + H4: 2 # H7: 5,6 => CTR => H7: 4 * PRF # G5: 3 + H1: 2,3,4 + H4: 2 + H7: 4 # H9: 5,6 => SOL * STA # G5: 3 + H1: 2,3,4 + H4: 2 + H7: 4 + H9: 5,6 * CNT 4 HDP CHAINS / 14 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
This sudoku is deep. Here is some information that may be helpful on how to proceed.
98.7.....6.....97...7.....54...3......94...8......24.1.9..1...3..65...9......42.. | initial |
98.7.....6.....97...7..9..54...3...9..94...8......24.1.9..1...3..65...9......42.. | autosolve |
level: deep
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G8,H9: 1.. / G8 = 1 => 2 pairs (_) / H9 = 1 => 1 pairs (_) H4,I5: 2.. / H4 = 2 => 1 pairs (_) / I5 = 2 => 4 pairs (_) D7,E8: 2.. / D7 = 2 => 1 pairs (_) / E8 = 2 => 1 pairs (_) G5,H6: 3.. / G5 = 3 => 2 pairs (_) / H6 = 3 => 1 pairs (_) F8,D9: 3.. / F8 = 3 => 0 pairs (_) / D9 = 3 => 2 pairs (_) C7,B8: 4.. / C7 = 4 => 3 pairs (_) / B8 = 4 => 1 pairs (_) H7,I8: 4.. / H7 = 4 => 1 pairs (_) / I8 = 4 => 3 pairs (_) C7,H7: 4.. / C7 = 4 => 3 pairs (_) / H7 = 4 => 1 pairs (_) B8,I8: 4.. / B8 = 4 => 1 pairs (_) / I8 = 4 => 3 pairs (_) I2,G3: 8.. / I2 = 8 => 2 pairs (_) / G3 = 8 => 2 pairs (_) D6,E6: 9.. / D6 = 9 => 0 pairs (_) / E6 = 9 => 1 pairs (_) D9,E9: 9.. / D9 = 9 => 1 pairs (_) / E9 = 9 => 0 pairs (_) D6,D9: 9.. / D6 = 9 => 0 pairs (_) / D9 = 9 => 1 pairs (_) E6,E9: 9.. / E6 = 9 => 1 pairs (_) / E9 = 9 => 0 pairs (_) * DURATION: 0:00:08.835142 START: 17:00:18.015510 END: 17:00:26.850652 2020-12-09 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H4,I5: 2.. / H4 = 2 => 1 pairs (_) / I5 = 2 ==> 0 pairs (X) B8,I8: 4.. / B8 = 4 => 1 pairs (_) / I8 = 4 ==> 0 pairs (X) C7,H7: 4.. / C7 = 4 ==> 0 pairs (X) / H7 = 4 => 1 pairs (_) H7,I8: 4.. / H7 = 4 => 1 pairs (_) / I8 = 4 ==> 0 pairs (X) C7,B8: 4.. / C7 = 4 ==> 0 pairs (X) / B8 = 4 => 1 pairs (_) I2,G3: 8.. / I2 = 8 ==> 2 pairs (_) / G3 = 8 ==> 2 pairs (_) G5,H6: 3.. / G5 = 3 ==> 0 pairs (*) / H6 = 3 => 0 pairs (X) * DURATION: 0:01:12.936797 START: 17:00:26.851237 END: 17:01:39.788034 2020-12-09 * REASONING H4,I5: 2.. * DIS # I5: 2 # H1: 4,6 => CTR => H1: 1,2,3 * DIS # I5: 2 + H1: 1,2,3 # H6: 5,6 => CTR => H6: 3 * DIS # I5: 2 + H1: 1,2,3 + H6: 3 # H7: 5,6 => CTR => H7: 4 * DIS # I5: 2 + H1: 1,2,3 + H6: 3 + H7: 4 # H9: 5,6 => CTR => H9: 1 * DIS # I5: 2 + H1: 1,2,3 + H6: 3 + H7: 4 + H9: 1 => CTR => I5: 6,7 * STA I5: 6,7 * CNT 5 HDP CHAINS / 19 HYP OPENED * REASONING B8,I8: 4.. * DIS # I8: 4 # H1: 2,6 => CTR => H1: 1,3,4 * DIS # I8: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1 * DIS # I8: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2 * DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3 * DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => I8: 7,8 * STA I8: 7,8 * CNT 5 HDP CHAINS / 18 HYP OPENED * REASONING C7,H7: 4.. * DIS # C7: 4 # H1: 2,6 => CTR => H1: 1,3,4 * DIS # C7: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1 * DIS # C7: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2 * DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3 * DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => C7: 2,5,8 * STA C7: 2,5,8 * CNT 5 HDP CHAINS / 18 HYP OPENED * REASONING H7,I8: 4.. * DIS # I8: 4 # H1: 2,6 => CTR => H1: 1,3,4 * DIS # I8: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1 * DIS # I8: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2 * DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3 * DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => I8: 7,8 * STA I8: 7,8 * CNT 5 HDP CHAINS / 18 HYP OPENED * REASONING C7,B8: 4.. * DIS # C7: 4 # H1: 2,6 => CTR => H1: 1,3,4 * DIS # C7: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1 * DIS # C7: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2 * DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3 * DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => C7: 2,5,8 * STA C7: 2,5,8 * CNT 5 HDP CHAINS / 18 HYP OPENED * REASONING I2,G3: 8.. * DIS # G3: 8 # B8: 1,7 => CTR => B8: 2,3,4 * CNT 1 HDP CHAINS / 30 HYP OPENED * REASONING G5,H6: 3.. * DIS # G5: 3 # H1: 1,6 => CTR => H1: 2,3,4 * DIS # G5: 3 + H1: 2,3,4 # H4: 5,6 => CTR => H4: 2 * DIS # G5: 3 + H1: 2,3,4 + H4: 2 # H7: 5,6 => CTR => H7: 4 * PRF # G5: 3 + H1: 2,3,4 + H4: 2 + H7: 4 # H9: 5,6 => SOL * STA # G5: 3 + H1: 2,3,4 + H4: 2 + H7: 4 + H9: 5,6 * CNT 4 HDP CHAINS / 14 HYP OPENED * DCP COUNT: (7) * SOLUTION FOUND
27879;2011_12;GP;24;11.30;1.20;1.20
Full list of HDP chains traversed for H4,I5: 2..:
* DIS # I5: 2 # H1: 4,6 => CTR => H1: 1,2,3 * INC # I5: 2 + H1: 1,2,3 # H3: 4,6 => UNS * INC # I5: 2 + H1: 1,2,3 # H3: 4,6 => UNS * INC # I5: 2 + H1: 1,2,3 # H3: 1,2,3 => UNS * INC # I5: 2 + H1: 1,2,3 # E1: 4,6 => UNS * INC # I5: 2 + H1: 1,2,3 # E1: 2,5 => UNS * INC # I5: 2 + H1: 1,2,3 # E2: 4,8 => UNS * INC # I5: 2 + H1: 1,2,3 # E2: 2,5 => UNS * INC # I5: 2 + H1: 1,2,3 # I8: 4,8 => UNS * INC # I5: 2 + H1: 1,2,3 # I8: 7 => UNS * INC # I5: 2 + H1: 1,2,3 # G4: 5,6 => UNS * INC # I5: 2 + H1: 1,2,3 # G5: 5,6 => UNS * DIS # I5: 2 + H1: 1,2,3 # H6: 5,6 => CTR => H6: 3 * INC # I5: 2 + H1: 1,2,3 + H6: 3 # B4: 5,6 => UNS * INC # I5: 2 + H1: 1,2,3 + H6: 3 # F4: 5,6 => UNS * DIS # I5: 2 + H1: 1,2,3 + H6: 3 # H7: 5,6 => CTR => H7: 4 * DIS # I5: 2 + H1: 1,2,3 + H6: 3 + H7: 4 # H9: 5,6 => CTR => H9: 1 * DIS # I5: 2 + H1: 1,2,3 + H6: 3 + H7: 4 + H9: 1 => CTR => I5: 6,7 * INC I5: 6,7 # H4: 2 => UNS * STA I5: 6,7 * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for B8,I8: 4..:
* DIS # I8: 4 # H1: 2,6 => CTR => H1: 1,3,4 * INC # I8: 4 + H1: 1,3,4 # H3: 2,6 => UNS * INC # I8: 4 + H1: 1,3,4 # H3: 2,6 => UNS * INC # I8: 4 + H1: 1,3,4 # H3: 1,3,4 => UNS * INC # I8: 4 + H1: 1,3,4 # E1: 2,6 => UNS * INC # I8: 4 + H1: 1,3,4 # E1: 4,5 => UNS * INC # I8: 4 + H1: 1,3,4 # I5: 2,6 => UNS * INC # I8: 4 + H1: 1,3,4 # I5: 7 => UNS * INC # I8: 4 + H1: 1,3,4 # D2: 2,8 => UNS * INC # I8: 4 + H1: 1,3,4 # E2: 2,8 => UNS * INC # I8: 4 + H1: 1,3,4 # G7: 5,6 => UNS * DIS # I8: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1 * INC # I8: 4 + H1: 1,3,4 + H9: 1 # G7: 5,6 => UNS * INC # I8: 4 + H1: 1,3,4 + H9: 1 # G7: 7,8 => UNS * DIS # I8: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2 * DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3 * DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => I8: 7,8 * INC I8: 7,8 # B8: 4 => UNS * STA I8: 7,8 * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for C7,H7: 4..:
* DIS # C7: 4 # H1: 2,6 => CTR => H1: 1,3,4 * INC # C7: 4 + H1: 1,3,4 # H3: 2,6 => UNS * INC # C7: 4 + H1: 1,3,4 # H3: 2,6 => UNS * INC # C7: 4 + H1: 1,3,4 # H3: 1,3,4 => UNS * INC # C7: 4 + H1: 1,3,4 # E1: 2,6 => UNS * INC # C7: 4 + H1: 1,3,4 # E1: 4,5 => UNS * INC # C7: 4 + H1: 1,3,4 # I5: 2,6 => UNS * INC # C7: 4 + H1: 1,3,4 # I5: 7 => UNS * INC # C7: 4 + H1: 1,3,4 # D2: 2,8 => UNS * INC # C7: 4 + H1: 1,3,4 # E2: 2,8 => UNS * INC # C7: 4 + H1: 1,3,4 # G7: 5,6 => UNS * DIS # C7: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1 * INC # C7: 4 + H1: 1,3,4 + H9: 1 # G7: 5,6 => UNS * INC # C7: 4 + H1: 1,3,4 + H9: 1 # G7: 7,8 => UNS * DIS # C7: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2 * DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3 * DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => C7: 2,5,8 * INC C7: 2,5,8 # H7: 4 => UNS * STA C7: 2,5,8 * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for H7,I8: 4..:
* DIS # I8: 4 # H1: 2,6 => CTR => H1: 1,3,4 * INC # I8: 4 + H1: 1,3,4 # H3: 2,6 => UNS * INC # I8: 4 + H1: 1,3,4 # H3: 2,6 => UNS * INC # I8: 4 + H1: 1,3,4 # H3: 1,3,4 => UNS * INC # I8: 4 + H1: 1,3,4 # E1: 2,6 => UNS * INC # I8: 4 + H1: 1,3,4 # E1: 4,5 => UNS * INC # I8: 4 + H1: 1,3,4 # I5: 2,6 => UNS * INC # I8: 4 + H1: 1,3,4 # I5: 7 => UNS * INC # I8: 4 + H1: 1,3,4 # D2: 2,8 => UNS * INC # I8: 4 + H1: 1,3,4 # E2: 2,8 => UNS * INC # I8: 4 + H1: 1,3,4 # G7: 5,6 => UNS * DIS # I8: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1 * INC # I8: 4 + H1: 1,3,4 + H9: 1 # G7: 5,6 => UNS * INC # I8: 4 + H1: 1,3,4 + H9: 1 # G7: 7,8 => UNS * DIS # I8: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2 * DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3 * DIS # I8: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => I8: 7,8 * INC I8: 7,8 # H7: 4 => UNS * STA I8: 7,8 * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for C7,B8: 4..:
* DIS # C7: 4 # H1: 2,6 => CTR => H1: 1,3,4 * INC # C7: 4 + H1: 1,3,4 # H3: 2,6 => UNS * INC # C7: 4 + H1: 1,3,4 # H3: 2,6 => UNS * INC # C7: 4 + H1: 1,3,4 # H3: 1,3,4 => UNS * INC # C7: 4 + H1: 1,3,4 # E1: 2,6 => UNS * INC # C7: 4 + H1: 1,3,4 # E1: 4,5 => UNS * INC # C7: 4 + H1: 1,3,4 # I5: 2,6 => UNS * INC # C7: 4 + H1: 1,3,4 # I5: 7 => UNS * INC # C7: 4 + H1: 1,3,4 # D2: 2,8 => UNS * INC # C7: 4 + H1: 1,3,4 # E2: 2,8 => UNS * INC # C7: 4 + H1: 1,3,4 # G7: 5,6 => UNS * DIS # C7: 4 + H1: 1,3,4 # H9: 5,6 => CTR => H9: 1 * INC # C7: 4 + H1: 1,3,4 + H9: 1 # G7: 5,6 => UNS * INC # C7: 4 + H1: 1,3,4 + H9: 1 # G7: 7,8 => UNS * DIS # C7: 4 + H1: 1,3,4 + H9: 1 # H4: 5,6 => CTR => H4: 2 * DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 # H6: 5,6 => CTR => H6: 3 * DIS # C7: 4 + H1: 1,3,4 + H9: 1 + H4: 2 + H6: 3 => CTR => C7: 2,5,8 * INC C7: 2,5,8 # B8: 4 => UNS * STA C7: 2,5,8 * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for I2,G3: 8..:
* INC # I2: 8 # B8: 4,7 => UNS * INC # I2: 8 # B8: 1,2,3 => UNS * INC # I2: 8 # G7: 6,7 => UNS * INC # I2: 8 # G7: 5,8 => UNS * INC # I2: 8 # E9: 6,7 => UNS * INC # I2: 8 # E9: 8,9 => UNS * INC # I2: 8 # I5: 6,7 => UNS * INC # I2: 8 # I5: 2 => UNS * INC # I2: 8 => UNS * INC # G3: 8 # H1: 2,4 => UNS * INC # G3: 8 # I1: 2,4 => UNS * INC # G3: 8 # H3: 2,4 => UNS * INC # G3: 8 # B2: 2,4 => UNS * INC # G3: 8 # C2: 2,4 => UNS * INC # G3: 8 # E2: 2,4 => UNS * INC # G3: 8 # A8: 1,7 => UNS * DIS # G3: 8 # B8: 1,7 => CTR => B8: 2,3,4 * INC # G3: 8 + B8: 2,3,4 # A8: 1,7 => UNS * INC # G3: 8 + B8: 2,3,4 # A8: 2,3,8 => UNS * INC # G3: 8 + B8: 2,3,4 # A8: 1,7 => UNS * INC # G3: 8 + B8: 2,3,4 # A8: 2,3,8 => UNS * INC # G3: 8 + B8: 2,3,4 # H1: 2,4 => UNS * INC # G3: 8 + B8: 2,3,4 # I1: 2,4 => UNS * INC # G3: 8 + B8: 2,3,4 # H3: 2,4 => UNS * INC # G3: 8 + B8: 2,3,4 # B2: 2,4 => UNS * INC # G3: 8 + B8: 2,3,4 # C2: 2,4 => UNS * INC # G3: 8 + B8: 2,3,4 # E2: 2,4 => UNS * INC # G3: 8 + B8: 2,3,4 # A8: 1,7 => UNS * INC # G3: 8 + B8: 2,3,4 # A8: 2,3,8 => UNS * INC # G3: 8 + B8: 2,3,4 => UNS * CNT 30 HDP CHAINS / 30 HYP OPENED
Full list of HDP chains traversed for G5,H6: 3..:
* DIS # G5: 3 # H1: 1,6 => CTR => H1: 2,3,4 * INC # G5: 3 + H1: 2,3,4 # G3: 1,6 => UNS * INC # G5: 3 + H1: 2,3,4 # H3: 1,6 => UNS * INC # G5: 3 + H1: 2,3,4 # F1: 1,6 => UNS * INC # G5: 3 + H1: 2,3,4 # F1: 3,5 => UNS * INC # G5: 3 + H1: 2,3,4 # G4: 5,6 => UNS * DIS # G5: 3 + H1: 2,3,4 # H4: 5,6 => CTR => H4: 2 * INC # G5: 3 + H1: 2,3,4 + H4: 2 # G4: 5,6 => UNS * INC # G5: 3 + H1: 2,3,4 + H4: 2 # G4: 7 => UNS * INC # G5: 3 + H1: 2,3,4 + H4: 2 # B6: 5,6 => UNS * INC # G5: 3 + H1: 2,3,4 + H4: 2 # E6: 5,6 => UNS * DIS # G5: 3 + H1: 2,3,4 + H4: 2 # H7: 5,6 => CTR => H7: 4 * PRF # G5: 3 + H1: 2,3,4 + H4: 2 + H7: 4 # H9: 5,6 => SOL * STA # G5: 3 + H1: 2,3,4 + H4: 2 + H7: 4 + H9: 5,6 * CNT 13 HDP CHAINS / 14 HYP OPENED