Contents
level: deep
Time used: 0:00:00.000016
List of important HDP chains detected for A2,A7: 5..:
* DIS # A2: 5 # B3: 2,3 => CTR => B3: 9 * DIS # A2: 5 + B3: 9 # B9: 2,3 => CTR => B9: 1 * DIS # A2: 5 + B3: 9 + B9: 1 # A6: 9 => CTR => A6: 4,6 * DIS # A2: 5 + B3: 9 + B9: 1 + A6: 4,6 # G4: 4,6 => CTR => G4: 7 * DIS # A2: 5 + B3: 9 + B9: 1 + A6: 4,6 + G4: 7 => CTR => A2: 3,4,6,7,9 * STA A2: 3,4,6,7,9 * CNT 5 HDP CHAINS / 13 HYP OPENED
List of important HDP chains detected for A7,G7: 5..:
* DIS # G7: 5 # B3: 2,3 => CTR => B3: 9 * DIS # G7: 5 + B3: 9 # B9: 2,3 => CTR => B9: 1 * DIS # G7: 5 + B3: 9 + B9: 1 # A6: 9 => CTR => A6: 4,6 * DIS # G7: 5 + B3: 9 + B9: 1 + A6: 4,6 # G4: 4,6 => CTR => G4: 7 * DIS # G7: 5 + B3: 9 + B9: 1 + A6: 4,6 + G4: 7 => CTR => G7: 2,3,4,7 * STA G7: 2,3,4,7 * CNT 5 HDP CHAINS / 13 HYP OPENED
List of important HDP chains detected for A7,B8: 5..:
* DIS # B8: 5 # B3: 2,3 => CTR => B3: 9 * DIS # B8: 5 + B3: 9 # B9: 2,3 => CTR => B9: 1 * DIS # B8: 5 + B3: 9 + B9: 1 # A6: 9 => CTR => A6: 4,6 * DIS # B8: 5 + B3: 9 + B9: 1 + A6: 4,6 # G4: 4,6 => CTR => G4: 7 * DIS # B8: 5 + B3: 9 + B9: 1 + A6: 4,6 + G4: 7 => CTR => B8: 1,2,3,9 * STA B8: 1,2,3,9 * CNT 5 HDP CHAINS / 13 HYP OPENED
List of important HDP chains detected for H4,H8: 5..:
* DIS # H4: 5 # F8: 1,2 => CTR => F8: 4,9 * CNT 1 HDP CHAINS / 23 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.
1..4...89......1....8....452....3.....51..9...7..2..3..6.....9.8...7...6..45..8.. | initial |
1..4...89......1....8....452....3.....51..9...7..2..3..6.....9.8...7...6..45..8.. | autosolve |
level: deep
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E3,F3: 1.. / E3 = 1 => 0 pairs (_) / F3 = 1 => 0 pairs (_) C6,I6: 1.. / C6 = 1 => 2 pairs (_) / I6 = 1 => 2 pairs (_) H5,I5: 2.. / H5 = 2 => 3 pairs (_) / I5 = 2 => 2 pairs (_) A5,B5: 3.. / A5 = 3 => 3 pairs (_) / B5 = 3 => 3 pairs (_) A2,B2: 4.. / A2 = 4 => 4 pairs (_) / B2 = 4 => 1 pairs (_) F8,G8: 4.. / F8 = 4 => 0 pairs (_) / G8 = 4 => 1 pairs (_) E4,F6: 5.. / E4 = 5 => 1 pairs (_) / F6 = 5 => 1 pairs (_) A7,B8: 5.. / A7 = 5 => 0 pairs (_) / B8 = 5 => 5 pairs (_) F6,G6: 5.. / F6 = 5 => 1 pairs (_) / G6 = 5 => 1 pairs (_) A7,G7: 5.. / A7 = 5 => 0 pairs (_) / G7 = 5 => 5 pairs (_) A2,A7: 5.. / A2 = 5 => 5 pairs (_) / A7 = 5 => 0 pairs (_) H4,H8: 5.. / H4 = 5 => 2 pairs (_) / H8 = 5 => 0 pairs (_) E9,F9: 6.. / E9 = 6 => 2 pairs (_) / F9 = 6 => 0 pairs (_) D4,F5: 7.. / D4 = 7 => 2 pairs (_) / F5 = 7 => 1 pairs (_) B4,B5: 8.. / B4 = 8 => 1 pairs (_) / B5 = 8 => 3 pairs (_) * DURATION: 0:00:11.068622 START: 07:35:33.720148 END: 07:35:44.788770 2020-11-21 * CP COUNT: (15) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A2,A7: 5.. / A2 = 5 ==> 0 pairs (X) / A7 = 5 => 0 pairs (_) A7,G7: 5.. / A7 = 5 => 0 pairs (_) / G7 = 5 ==> 0 pairs (X) A7,B8: 5.. / A7 = 5 => 0 pairs (_) / B8 = 5 ==> 0 pairs (X) A2,B2: 4.. / A2 = 4 ==> 4 pairs (_) / B2 = 4 ==> 1 pairs (_) A5,B5: 3.. / A5 = 3 ==> 3 pairs (_) / B5 = 3 ==> 3 pairs (_) H5,I5: 2.. / H5 = 2 ==> 3 pairs (_) / I5 = 2 ==> 2 pairs (_) B4,B5: 8.. / B4 = 8 ==> 1 pairs (_) / B5 = 8 ==> 3 pairs (_) C6,I6: 1.. / C6 = 1 ==> 2 pairs (_) / I6 = 1 ==> 2 pairs (_) D4,F5: 7.. / D4 = 7 ==> 2 pairs (_) / F5 = 7 ==> 1 pairs (_) E9,F9: 6.. / E9 = 6 ==> 2 pairs (_) / F9 = 6 ==> 0 pairs (_) H4,H8: 5.. / H4 = 5 ==> 3 pairs (_) / H8 = 5 ==> 0 pairs (_) F6,G6: 5.. / F6 = 5 ==> 1 pairs (_) / G6 = 5 ==> 1 pairs (_) E4,F6: 5.. / E4 = 5 ==> 1 pairs (_) / F6 = 5 ==> 1 pairs (_) F8,G8: 4.. / F8 = 4 ==> 0 pairs (_) / G8 = 4 ==> 1 pairs (_) E3,F3: 1.. / E3 = 1 ==> 0 pairs (_) / F3 = 1 ==> 0 pairs (_) * DURATION: 0:02:18.529736 START: 07:35:44.789802 END: 07:38:03.319538 2020-11-21 * REASONING A2,A7: 5.. * DIS # A2: 5 # B3: 2,3 => CTR => B3: 9 * DIS # A2: 5 + B3: 9 # B9: 2,3 => CTR => B9: 1 * DIS # A2: 5 + B3: 9 + B9: 1 # A6: 9 => CTR => A6: 4,6 * DIS # A2: 5 + B3: 9 + B9: 1 + A6: 4,6 # G4: 4,6 => CTR => G4: 7 * DIS # A2: 5 + B3: 9 + B9: 1 + A6: 4,6 + G4: 7 => CTR => A2: 3,4,6,7,9 * STA A2: 3,4,6,7,9 * CNT 5 HDP CHAINS / 13 HYP OPENED * REASONING A7,G7: 5.. * DIS # G7: 5 # B3: 2,3 => CTR => B3: 9 * DIS # G7: 5 + B3: 9 # B9: 2,3 => CTR => B9: 1 * DIS # G7: 5 + B3: 9 + B9: 1 # A6: 9 => CTR => A6: 4,6 * DIS # G7: 5 + B3: 9 + B9: 1 + A6: 4,6 # G4: 4,6 => CTR => G4: 7 * DIS # G7: 5 + B3: 9 + B9: 1 + A6: 4,6 + G4: 7 => CTR => G7: 2,3,4,7 * STA G7: 2,3,4,7 * CNT 5 HDP CHAINS / 13 HYP OPENED * REASONING A7,B8: 5.. * DIS # B8: 5 # B3: 2,3 => CTR => B3: 9 * DIS # B8: 5 + B3: 9 # B9: 2,3 => CTR => B9: 1 * DIS # B8: 5 + B3: 9 + B9: 1 # A6: 9 => CTR => A6: 4,6 * DIS # B8: 5 + B3: 9 + B9: 1 + A6: 4,6 # G4: 4,6 => CTR => G4: 7 * DIS # B8: 5 + B3: 9 + B9: 1 + A6: 4,6 + G4: 7 => CTR => B8: 1,2,3,9 * STA B8: 1,2,3,9 * CNT 5 HDP CHAINS / 13 HYP OPENED * REASONING H4,H8: 5.. * DIS # H4: 5 # F8: 1,2 => CTR => F8: 4,9 * CNT 1 HDP CHAINS / 23 HYP OPENED * DCP COUNT: (15) * CLUE FOUND
696;927;elev;24;11.30;11.30;10.50
Full list of HDP chains traversed for A2,A7: 5..:
* INC # A2: 5 # C1: 2,3 => UNS * INC # A2: 5 # C2: 2,3 => UNS * DIS # A2: 5 # B3: 2,3 => CTR => B3: 9 * INC # A2: 5 + B3: 9 # G1: 2,3 => UNS * INC # A2: 5 + B3: 9 # G1: 6,7 => UNS * DIS # A2: 5 + B3: 9 # B9: 2,3 => CTR => B9: 1 * INC # A2: 5 + B3: 9 + B9: 1 # G4: 4,6 => UNS * INC # A2: 5 + B3: 9 + B9: 1 # G4: 7 => UNS * INC # A2: 5 + B3: 9 + B9: 1 # A6: 4,6 => UNS * DIS # A2: 5 + B3: 9 + B9: 1 # A6: 9 => CTR => A6: 4,6 * DIS # A2: 5 + B3: 9 + B9: 1 + A6: 4,6 # G4: 4,6 => CTR => G4: 7 * DIS # A2: 5 + B3: 9 + B9: 1 + A6: 4,6 + G4: 7 => CTR => A2: 3,4,6,7,9 * INC A2: 3,4,6,7,9 # A7: 5 => UNS * STA A2: 3,4,6,7,9 * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for A7,G7: 5..:
* INC # G7: 5 # C1: 2,3 => UNS * INC # G7: 5 # C2: 2,3 => UNS * DIS # G7: 5 # B3: 2,3 => CTR => B3: 9 * INC # G7: 5 + B3: 9 # G1: 2,3 => UNS * INC # G7: 5 + B3: 9 # G1: 6,7 => UNS * DIS # G7: 5 + B3: 9 # B9: 2,3 => CTR => B9: 1 * INC # G7: 5 + B3: 9 + B9: 1 # G4: 4,6 => UNS * INC # G7: 5 + B3: 9 + B9: 1 # G4: 7 => UNS * INC # G7: 5 + B3: 9 + B9: 1 # A6: 4,6 => UNS * DIS # G7: 5 + B3: 9 + B9: 1 # A6: 9 => CTR => A6: 4,6 * DIS # G7: 5 + B3: 9 + B9: 1 + A6: 4,6 # G4: 4,6 => CTR => G4: 7 * DIS # G7: 5 + B3: 9 + B9: 1 + A6: 4,6 + G4: 7 => CTR => G7: 2,3,4,7 * INC G7: 2,3,4,7 # A7: 5 => UNS * STA G7: 2,3,4,7 * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for A7,B8: 5..:
* INC # B8: 5 # C1: 2,3 => UNS * INC # B8: 5 # C2: 2,3 => UNS * DIS # B8: 5 # B3: 2,3 => CTR => B3: 9 * INC # B8: 5 + B3: 9 # G1: 2,3 => UNS * INC # B8: 5 + B3: 9 # G1: 6,7 => UNS * DIS # B8: 5 + B3: 9 # B9: 2,3 => CTR => B9: 1 * INC # B8: 5 + B3: 9 + B9: 1 # G4: 4,6 => UNS * INC # B8: 5 + B3: 9 + B9: 1 # G4: 7 => UNS * INC # B8: 5 + B3: 9 + B9: 1 # A6: 4,6 => UNS * DIS # B8: 5 + B3: 9 + B9: 1 # A6: 9 => CTR => A6: 4,6 * DIS # B8: 5 + B3: 9 + B9: 1 + A6: 4,6 # G4: 4,6 => CTR => G4: 7 * DIS # B8: 5 + B3: 9 + B9: 1 + A6: 4,6 + G4: 7 => CTR => B8: 1,2,3,9 * INC B8: 1,2,3,9 # A7: 5 => UNS * STA B8: 1,2,3,9 * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for A2,B2: 4..:
* INC # A2: 4 # E4: 4,8 => UNS * INC # A2: 4 # I4: 4,8 => UNS * INC # A2: 4 # E5: 4,8 => UNS * INC # A2: 4 # F5: 4,8 => UNS * INC # A2: 4 # I5: 4,8 => UNS * INC # A2: 4 # C4: 6,9 => UNS * INC # A2: 4 # C6: 6,9 => UNS * INC # A2: 4 # D6: 6,9 => UNS * INC # A2: 4 # F6: 6,9 => UNS * INC # A2: 4 # A3: 6,9 => UNS * INC # A2: 4 # A3: 7 => UNS * INC # A2: 4 # A3: 7,9 => UNS * INC # A2: 4 # A3: 6 => UNS * INC # A2: 4 => UNS * INC # B2: 4 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for A5,B5: 3..:
* INC # A5: 3 # B4: 4,8 => UNS * INC # A5: 3 # B4: 1,9 => UNS * INC # A5: 3 # E5: 4,8 => UNS * INC # A5: 3 # F5: 4,8 => UNS * INC # A5: 3 # I5: 4,8 => UNS * INC # A5: 3 # G7: 5,7 => UNS * INC # A5: 3 # G7: 2,3,4 => UNS * INC # A5: 3 # A2: 5,7 => UNS * INC # A5: 3 # A2: 4,6,9 => UNS * INC # A5: 3 # A2: 7,9 => UNS * INC # A5: 3 # A3: 7,9 => UNS * INC # A5: 3 => UNS * INC # B5: 3 # F1: 2,5 => UNS * INC # B5: 3 # F1: 6,7 => UNS * INC # B5: 3 # B8: 2,5 => UNS * INC # B5: 3 # B8: 1,9 => UNS * INC # B5: 3 # C2: 2,9 => UNS * INC # B5: 3 # C2: 3,6,7 => UNS * INC # B5: 3 # D3: 2,9 => UNS * INC # B5: 3 # F3: 2,9 => UNS * INC # B5: 3 # B8: 2,9 => UNS * INC # B5: 3 # B9: 2,9 => UNS * INC # B5: 3 # A6: 4,6 => UNS * INC # B5: 3 # A6: 9 => UNS * INC # B5: 3 # E5: 4,6 => UNS * INC # B5: 3 # F5: 4,6 => UNS * INC # B5: 3 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for H5,I5: 2..:
* INC # H5: 2 # G1: 6,7 => UNS * INC # H5: 2 # G3: 6,7 => UNS * INC # H5: 2 # A2: 6,7 => UNS * INC # H5: 2 # C2: 6,7 => UNS * INC # H5: 2 # D2: 6,7 => UNS * INC # H5: 2 # F2: 6,7 => UNS * INC # H5: 2 # H4: 6,7 => UNS * INC # H5: 2 # H4: 1,5 => UNS * INC # H5: 2 # B8: 1,5 => UNS * INC # H5: 2 # B8: 2,3,9 => UNS * INC # H5: 2 # H4: 1,5 => UNS * INC # H5: 2 # H4: 6,7 => UNS * INC # H5: 2 # I7: 1,7 => UNS * INC # H5: 2 # I9: 1,7 => UNS * INC # H5: 2 # H4: 1,7 => UNS * INC # H5: 2 # H4: 5,6 => UNS * INC # H5: 2 => UNS * INC # I5: 2 # G1: 3,7 => UNS * INC # I5: 2 # G3: 3,7 => UNS * INC # I5: 2 # A2: 3,7 => UNS * INC # I5: 2 # C2: 3,7 => UNS * INC # I5: 2 # D2: 3,7 => UNS * INC # I5: 2 # I7: 3,7 => UNS * INC # I5: 2 # I9: 3,7 => UNS * INC # I5: 2 # G4: 6,7 => UNS * INC # I5: 2 # H4: 6,7 => UNS * INC # I5: 2 # F5: 6,7 => UNS * INC # I5: 2 # F5: 4,8 => UNS * INC # I5: 2 # H2: 6,7 => UNS * INC # I5: 2 # H2: 2 => UNS * INC # I5: 2 => UNS * CNT 31 HDP CHAINS / 31 HYP OPENED
Full list of HDP chains traversed for B4,B5: 8..:
* INC # B5: 8 # E4: 4,6 => UNS * INC # B5: 8 # F5: 4,6 => UNS * INC # B5: 8 # F6: 4,6 => UNS * INC # B5: 8 # G7: 5,7 => UNS * INC # B5: 8 # G7: 2,3,4 => UNS * INC # B5: 8 # A2: 5,7 => UNS * INC # B5: 8 # A2: 4,6,9 => UNS * INC # B5: 8 # A2: 7,9 => UNS * INC # B5: 8 # A3: 7,9 => UNS * INC # B5: 8 => UNS * INC # B4: 8 # A5: 3,4 => UNS * INC # B4: 8 # A5: 6 => UNS * INC # B4: 8 # B2: 3,4 => UNS * INC # B4: 8 # B2: 2,5,9 => UNS * INC # B4: 8 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for C6,I6: 1..:
* INC # C6: 1 # A6: 6,9 => UNS * INC # C6: 1 # A6: 4 => UNS * INC # C6: 1 # D4: 6,9 => UNS * INC # C6: 1 # E4: 6,9 => UNS * INC # C6: 1 # C2: 6,9 => UNS * INC # C6: 1 # C2: 2,3,7 => UNS * INC # C6: 1 # I4: 4,8 => UNS * INC # C6: 1 # I5: 4,8 => UNS * INC # C6: 1 # F6: 4,8 => UNS * INC # C6: 1 # F6: 5,6,9 => UNS * INC # C6: 1 => UNS * INC # I6: 1 # C4: 6,9 => UNS * INC # I6: 1 # A6: 6,9 => UNS * INC # I6: 1 # D6: 6,9 => UNS * INC # I6: 1 # F6: 6,9 => UNS * INC # I6: 1 # C2: 6,9 => UNS * INC # I6: 1 # C2: 2,3,7 => UNS * INC # I6: 1 # E4: 4,6 => UNS * INC # I6: 1 # F5: 4,6 => UNS * INC # I6: 1 # F6: 4,6 => UNS * INC # I6: 1 # A5: 4,6 => UNS * INC # I6: 1 # A5: 3 => UNS * INC # I6: 1 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for D4,F5: 7..:
* INC # D4: 7 # H2: 2,7 => UNS * INC # D4: 7 # H9: 2,7 => UNS * INC # D4: 7 # I2: 2,7 => UNS * INC # D4: 7 # I7: 2,7 => UNS * INC # D4: 7 # I9: 2,7 => UNS * INC # D4: 7 => UNS * INC # F5: 7 # H2: 2,6 => UNS * INC # F5: 7 # H2: 7 => UNS * INC # F5: 7 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for E9,F9: 6..:
* INC # E9: 6 # E2: 3,5 => UNS * INC # E9: 6 # E2: 8,9 => UNS * INC # E9: 6 # B1: 3,5 => UNS * INC # E9: 6 # B1: 2 => UNS * INC # E9: 6 # E4: 4,8 => UNS * INC # E9: 6 # F5: 4,8 => UNS * INC # E9: 6 # F6: 4,8 => UNS * INC # E9: 6 # B5: 4,8 => UNS * INC # E9: 6 # I5: 4,8 => UNS * INC # E9: 6 # E7: 4,8 => UNS * INC # E9: 6 # E7: 1,3 => UNS * INC # E9: 6 => UNS * INC # F9: 6 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for H4,H8: 5..:
* INC # H4: 5 # G4: 4,6 => UNS * INC # H4: 5 # G4: 7 => UNS * INC # H4: 5 # A6: 4,6 => UNS * INC # H4: 5 # A6: 9 => UNS * INC # H4: 5 # H9: 1,2 => UNS * INC # H4: 5 # H9: 7 => UNS * INC # H4: 5 # B8: 1,2 => UNS * INC # H4: 5 # C8: 1,2 => UNS * DIS # H4: 5 # F8: 1,2 => CTR => F8: 4,9 * INC # H4: 5 + F8: 4,9 # H9: 1,2 => UNS * INC # H4: 5 + F8: 4,9 # H9: 7 => UNS * INC # H4: 5 + F8: 4,9 # B8: 1,2 => UNS * INC # H4: 5 + F8: 4,9 # C8: 1,2 => UNS * INC # H4: 5 + F8: 4,9 # G4: 4,6 => UNS * INC # H4: 5 + F8: 4,9 # G4: 7 => UNS * INC # H4: 5 + F8: 4,9 # A6: 4,6 => UNS * INC # H4: 5 + F8: 4,9 # A6: 9 => UNS * INC # H4: 5 + F8: 4,9 # H9: 1,2 => UNS * INC # H4: 5 + F8: 4,9 # H9: 7 => UNS * INC # H4: 5 + F8: 4,9 # B8: 1,2 => UNS * INC # H4: 5 + F8: 4,9 # C8: 1,2 => UNS * INC # H4: 5 + F8: 4,9 => UNS * INC # H8: 5 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for F6,G6: 5..:
* INC # F6: 5 # G4: 4,6 => UNS * INC # F6: 5 # G4: 5,7 => UNS * INC # F6: 5 # A6: 4,6 => UNS * INC # F6: 5 # A6: 9 => UNS * INC # F6: 5 => UNS * INC # G6: 5 # D2: 3,6 => UNS * INC # G6: 5 # E2: 3,6 => UNS * INC # G6: 5 # D3: 3,6 => UNS * INC # G6: 5 # E3: 3,6 => UNS * INC # G6: 5 # C1: 3,6 => UNS * INC # G6: 5 # G1: 3,6 => UNS * INC # G6: 5 # E9: 3,6 => UNS * INC # G6: 5 # E9: 1,9 => UNS * INC # G6: 5 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for E4,F6: 5..:
* INC # E4: 5 # D2: 3,6 => UNS * INC # E4: 5 # E2: 3,6 => UNS * INC # E4: 5 # D3: 3,6 => UNS * INC # E4: 5 # E3: 3,6 => UNS * INC # E4: 5 # C1: 3,6 => UNS * INC # E4: 5 # G1: 3,6 => UNS * INC # E4: 5 # E9: 3,6 => UNS * INC # E4: 5 # E9: 1,9 => UNS * INC # E4: 5 => UNS * INC # F6: 5 # G4: 4,6 => UNS * INC # F6: 5 # G4: 5,7 => UNS * INC # F6: 5 # A6: 4,6 => UNS * INC # F6: 5 # A6: 9 => UNS * INC # F6: 5 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for F8,G8: 4..:
* INC # G8: 4 # G4: 5,6 => UNS * INC # G8: 4 # H4: 5,6 => UNS * INC # G8: 4 # F6: 5,6 => UNS * INC # G8: 4 # F6: 4,8,9 => UNS * INC # G8: 4 => UNS * INC # F8: 4 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for E3,F3: 1..:
* INC # E3: 1 => UNS * INC # F3: 1 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED