Contents
level: deep
Time used: 0:00:00.000012
List of important HDP chains detected for D5,F6: 3..:
* DIS # F6: 3 # D4: 7,9 => CTR => D4: 2 * DIS # F6: 3 + D4: 2 # D2: 7,9 => CTR => D2: 1,3,4 * DIS # F6: 3 + D4: 2 + D2: 1,3,4 # D3: 7,9 => CTR => D3: 1,3,4 * DIS # F6: 3 + D4: 2 + D2: 1,3,4 + D3: 1,3,4 # D8: 7,9 => CTR => D8: 4 * DIS # F6: 3 + D4: 2 + D2: 1,3,4 + D3: 1,3,4 + D8: 4 => CTR => F6: 6,7 * STA F6: 6,7 * CNT 5 HDP CHAINS / 14 HYP OPENED
List of important HDP chains detected for D4,E6: 2..:
* DIS # E6: 2 # D5: 7,9 => CTR => D5: 3 * DIS # E6: 2 + D5: 3 # D2: 7,9 => CTR => D2: 1,2,4 * DIS # E6: 2 + D5: 3 + D2: 1,2,4 # B6: 6,7 => CTR => B6: 1,3,4 * CNT 3 HDP CHAINS / 71 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.
9876.....65....8...........8...4..3..2...1.....98..5....85..7......3..1......2..4 | initial |
9876.....65....8...........8...4..3..2...1.....98..5....85..7......3..1......2..4 | autosolve |
level: deep
-------------------------------------------------- * PAIRS (2) I8: 5,8 H9: 5,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D4,E6: 2.. / D4 = 2 => 3 pairs (_) / E6 = 2 => 4 pairs (_) D5,F6: 3.. / D5 = 3 => 3 pairs (_) / F6 = 3 => 4 pairs (_) I7,G9: 3.. / I7 = 3 => 3 pairs (_) / G9 = 3 => 2 pairs (_) F4,E5: 5.. / F4 = 5 => 4 pairs (_) / E5 = 5 => 3 pairs (_) I8,H9: 5.. / I8 = 5 => 0 pairs (_) / H9 = 5 => 1 pairs (_) C4,F4: 5.. / C4 = 5 => 3 pairs (_) / F4 = 5 => 4 pairs (_) E3,F3: 8.. / E3 = 8 => 0 pairs (_) / F3 = 8 => 1 pairs (_) H5,I5: 8.. / H5 = 8 => 1 pairs (_) / I5 = 8 => 0 pairs (_) F8,E9: 8.. / F8 = 8 => 0 pairs (_) / E9 = 8 => 1 pairs (_) I8,H9: 8.. / I8 = 8 => 1 pairs (_) / H9 = 8 => 0 pairs (_) F8,I8: 8.. / F8 = 8 => 0 pairs (_) / I8 = 8 => 1 pairs (_) E9,H9: 8.. / E9 = 8 => 1 pairs (_) / H9 = 8 => 0 pairs (_) E3,E9: 8.. / E3 = 8 => 0 pairs (_) / E9 = 8 => 1 pairs (_) F3,F8: 8.. / F3 = 8 => 1 pairs (_) / F8 = 8 => 0 pairs (_) H5,H9: 8.. / H5 = 8 => 1 pairs (_) / H9 = 8 => 0 pairs (_) I5,I8: 8.. / I5 = 8 => 0 pairs (_) / I8 = 8 => 1 pairs (_) * DURATION: 0:00:12.324914 START: 20:47:17.575326 END: 20:47:29.900240 2020-11-23 * CP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C4,F4: 5.. / C4 = 5 ==> 3 pairs (_) / F4 = 5 ==> 4 pairs (_) F4,E5: 5.. / F4 = 5 ==> 4 pairs (_) / E5 = 5 ==> 3 pairs (_) D5,F6: 3.. / D5 = 3 => 3 pairs (_) / F6 = 3 ==> 0 pairs (X) D4,E6: 2.. / D4 = 2 ==> 3 pairs (_) / E6 = 2 ==> 5 pairs (_) I7,G9: 3.. / I7 = 3 ==> 3 pairs (_) / G9 = 3 ==> 2 pairs (_) I5,I8: 8.. / I5 = 8 ==> 0 pairs (_) / I8 = 8 ==> 1 pairs (_) H5,H9: 8.. / H5 = 8 ==> 1 pairs (_) / H9 = 8 ==> 0 pairs (_) F3,F8: 8.. / F3 = 8 ==> 1 pairs (_) / F8 = 8 ==> 0 pairs (_) E3,E9: 8.. / E3 = 8 ==> 0 pairs (_) / E9 = 8 ==> 1 pairs (_) E9,H9: 8.. / E9 = 8 ==> 1 pairs (_) / H9 = 8 ==> 0 pairs (_) F8,I8: 8.. / F8 = 8 ==> 0 pairs (_) / I8 = 8 ==> 1 pairs (_) I8,H9: 8.. / I8 = 8 ==> 1 pairs (_) / H9 = 8 ==> 0 pairs (_) F8,E9: 8.. / F8 = 8 ==> 0 pairs (_) / E9 = 8 ==> 1 pairs (_) H5,I5: 8.. / H5 = 8 ==> 1 pairs (_) / I5 = 8 ==> 0 pairs (_) E3,F3: 8.. / E3 = 8 ==> 0 pairs (_) / F3 = 8 ==> 1 pairs (_) I8,H9: 5.. / I8 = 5 ==> 0 pairs (_) / H9 = 5 ==> 1 pairs (_) * DURATION: 0:02:06.542849 START: 20:47:30.656083 END: 20:49:37.198932 2020-11-23 * REASONING D5,F6: 3.. * DIS # F6: 3 # D4: 7,9 => CTR => D4: 2 * DIS # F6: 3 + D4: 2 # D2: 7,9 => CTR => D2: 1,3,4 * DIS # F6: 3 + D4: 2 + D2: 1,3,4 # D3: 7,9 => CTR => D3: 1,3,4 * DIS # F6: 3 + D4: 2 + D2: 1,3,4 + D3: 1,3,4 # D8: 7,9 => CTR => D8: 4 * DIS # F6: 3 + D4: 2 + D2: 1,3,4 + D3: 1,3,4 + D8: 4 => CTR => F6: 6,7 * STA F6: 6,7 * CNT 5 HDP CHAINS / 14 HYP OPENED * REASONING D4,E6: 2.. * DIS # E6: 2 # D5: 7,9 => CTR => D5: 3 * DIS # E6: 2 + D5: 3 # D2: 7,9 => CTR => D2: 1,2,4 * DIS # E6: 2 + D5: 3 + D2: 1,2,4 # B6: 6,7 => CTR => B6: 1,3,4 * CNT 3 HDP CHAINS / 71 HYP OPENED * DCP COUNT: (16) * CLUE FOUND
988;H218;GP;22;11.30;11.30;3.40
Full list of HDP chains traversed for C4,F4: 5..:
* INC # F4: 5 # D2: 3,4 => UNS * INC # F4: 5 # F2: 3,4 => UNS * INC # F4: 5 # D3: 3,4 => UNS * INC # F4: 5 # F3: 3,4 => UNS * INC # F4: 5 # G1: 3,4 => UNS * INC # F4: 5 # G1: 1,2 => UNS * INC # F4: 5 # B4: 1,6 => UNS * INC # F4: 5 # B6: 1,6 => UNS * INC # F4: 5 # G4: 1,6 => UNS * INC # F4: 5 # I4: 1,6 => UNS * INC # F4: 5 # C9: 1,6 => UNS * INC # F4: 5 # C9: 3,5 => UNS * INC # F4: 5 => UNS * INC # C4: 5 # D2: 1,2 => UNS * INC # C4: 5 # E2: 1,2 => UNS * INC # C4: 5 # D3: 1,2 => UNS * INC # C4: 5 # E3: 1,2 => UNS * INC # C4: 5 # G1: 1,2 => UNS * INC # C4: 5 # I1: 1,2 => UNS * INC # C4: 5 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for F4,E5: 5..:
* INC # F4: 5 # D2: 3,4 => UNS * INC # F4: 5 # F2: 3,4 => UNS * INC # F4: 5 # D3: 3,4 => UNS * INC # F4: 5 # F3: 3,4 => UNS * INC # F4: 5 # G1: 3,4 => UNS * INC # F4: 5 # G1: 1,2 => UNS * INC # F4: 5 # B4: 1,6 => UNS * INC # F4: 5 # B6: 1,6 => UNS * INC # F4: 5 # G4: 1,6 => UNS * INC # F4: 5 # I4: 1,6 => UNS * INC # F4: 5 # C9: 1,6 => UNS * INC # F4: 5 # C9: 3,5 => UNS * INC # F4: 5 => UNS * INC # E5: 5 # D2: 1,2 => UNS * INC # E5: 5 # E2: 1,2 => UNS * INC # E5: 5 # D3: 1,2 => UNS * INC # E5: 5 # E3: 1,2 => UNS * INC # E5: 5 # G1: 1,2 => UNS * INC # E5: 5 # I1: 1,2 => UNS * INC # E5: 5 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for D5,F6: 3..:
* INC # F6: 3 # F3: 4,5 => UNS * INC # F6: 3 # F3: 7,8,9 => UNS * INC # F6: 3 # H1: 4,5 => UNS * INC # F6: 3 # H1: 2 => UNS * DIS # F6: 3 # D4: 7,9 => CTR => D4: 2 * INC # F6: 3 + D4: 2 # F4: 7,9 => UNS * INC # F6: 3 + D4: 2 # E5: 7,9 => UNS * INC # F6: 3 + D4: 2 # H5: 7,9 => UNS * INC # F6: 3 + D4: 2 # I5: 7,9 => UNS * DIS # F6: 3 + D4: 2 # D2: 7,9 => CTR => D2: 1,3,4 * DIS # F6: 3 + D4: 2 + D2: 1,3,4 # D3: 7,9 => CTR => D3: 1,3,4 * DIS # F6: 3 + D4: 2 + D2: 1,3,4 + D3: 1,3,4 # D8: 7,9 => CTR => D8: 4 * DIS # F6: 3 + D4: 2 + D2: 1,3,4 + D3: 1,3,4 + D8: 4 => CTR => F6: 6,7 * INC F6: 6,7 # D5: 3 => UNS * STA F6: 6,7 * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for D4,E6: 2..:
* INC # E6: 2 # E3: 1,5 => UNS * INC # E6: 2 # E3: 7,8,9 => UNS * INC # E6: 2 # I1: 1,5 => UNS * INC # E6: 2 # I1: 2,3 => UNS * INC # E6: 2 # F4: 7,9 => UNS * DIS # E6: 2 # D5: 7,9 => CTR => D5: 3 * INC # E6: 2 + D5: 3 # E5: 7,9 => UNS * INC # E6: 2 + D5: 3 # I4: 7,9 => UNS * INC # E6: 2 + D5: 3 # I4: 1,2,6 => UNS * DIS # E6: 2 + D5: 3 # D2: 7,9 => CTR => D2: 1,2,4 * INC # E6: 2 + D5: 3 + D2: 1,2,4 # D3: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # D8: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # D9: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # F4: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # E5: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # I4: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # I4: 1,2,6 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # D3: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # D8: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # D9: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # E3: 1,5 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # E3: 7,8,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # I1: 1,5 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # I1: 2,3 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # F4: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # E5: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # I4: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # I4: 1,2,6 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # D3: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # D8: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # D9: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # F4: 6,7 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 # E5: 6,7 => UNS * DIS # E6: 2 + D5: 3 + D2: 1,2,4 # B6: 6,7 => CTR => B6: 1,3,4 * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # H6: 6,7 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # I6: 6,7 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # F8: 6,7 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # F8: 4,8,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # F4: 6,7 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # E5: 6,7 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # H6: 6,7 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # I6: 6,7 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # F8: 6,7 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # F8: 4,8,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # E3: 1,5 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # E3: 7,8,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # I1: 1,5 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # I1: 2,3 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # F4: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # E5: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # I4: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # I4: 1,2,6 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # D3: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # D8: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # D9: 7,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # F4: 6,7 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # E5: 6,7 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # H6: 6,7 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # I6: 6,7 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # F8: 6,7 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 # F8: 4,8,9 => UNS * INC # E6: 2 + D5: 3 + D2: 1,2,4 + B6: 1,3,4 => UNS * INC # D4: 2 # F4: 6,7 => UNS * INC # D4: 2 # E5: 6,7 => UNS * INC # D4: 2 # F6: 6,7 => UNS * INC # D4: 2 # B6: 6,7 => UNS * INC # D4: 2 # H6: 6,7 => UNS * INC # D4: 2 # I6: 6,7 => UNS * INC # D4: 2 # E9: 6,7 => UNS * INC # D4: 2 # E9: 1,8,9 => UNS * INC # D4: 2 => UNS * CNT 71 HDP CHAINS / 71 HYP OPENED
Full list of HDP chains traversed for I7,G9: 3..:
* INC # I7: 3 # H7: 6,9 => UNS * INC # I7: 3 # G8: 6,9 => UNS * INC # I7: 3 # B9: 6,9 => UNS * INC # I7: 3 # E9: 6,9 => UNS * INC # I7: 3 # G3: 6,9 => UNS * INC # I7: 3 # G4: 6,9 => UNS * INC # I7: 3 # G5: 6,9 => UNS * INC # I7: 3 => UNS * INC # G9: 3 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for I5,I8: 8..:
* INC # I8: 8 # G1: 2,4 => UNS * INC # I8: 8 # H2: 2,4 => UNS * INC # I8: 8 # G3: 2,4 => UNS * INC # I8: 8 # H3: 2,4 => UNS * INC # I8: 8 # H6: 2,4 => UNS * INC # I8: 8 # H6: 6,7 => UNS * INC # I8: 8 => UNS * INC # I5: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for H5,H9: 8..:
* INC # H5: 8 # G1: 2,4 => UNS * INC # H5: 8 # H2: 2,4 => UNS * INC # H5: 8 # G3: 2,4 => UNS * INC # H5: 8 # H3: 2,4 => UNS * INC # H5: 8 # H6: 2,4 => UNS * INC # H5: 8 # H6: 6,7 => UNS * INC # H5: 8 => UNS * INC # H9: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for F3,F8: 8..:
* INC # F3: 8 # G1: 2,4 => UNS * INC # F3: 8 # H2: 2,4 => UNS * INC # F3: 8 # G3: 2,4 => UNS * INC # F3: 8 # H3: 2,4 => UNS * INC # F3: 8 # H6: 2,4 => UNS * INC # F3: 8 # H6: 6,7 => UNS * INC # F3: 8 => UNS * INC # F8: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for E3,E9: 8..:
* INC # E9: 8 # G1: 2,4 => UNS * INC # E9: 8 # H2: 2,4 => UNS * INC # E9: 8 # G3: 2,4 => UNS * INC # E9: 8 # H3: 2,4 => UNS * INC # E9: 8 # H6: 2,4 => UNS * INC # E9: 8 # H6: 6,7 => UNS * INC # E9: 8 => UNS * INC # E3: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for E9,H9: 8..:
* INC # E9: 8 # G1: 2,4 => UNS * INC # E9: 8 # H2: 2,4 => UNS * INC # E9: 8 # G3: 2,4 => UNS * INC # E9: 8 # H3: 2,4 => UNS * INC # E9: 8 # H6: 2,4 => UNS * INC # E9: 8 # H6: 6,7 => UNS * INC # E9: 8 => UNS * INC # H9: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for F8,I8: 8..:
* INC # I8: 8 # G1: 2,4 => UNS * INC # I8: 8 # H2: 2,4 => UNS * INC # I8: 8 # G3: 2,4 => UNS * INC # I8: 8 # H3: 2,4 => UNS * INC # I8: 8 # H6: 2,4 => UNS * INC # I8: 8 # H6: 6,7 => UNS * INC # I8: 8 => UNS * INC # F8: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for I8,H9: 8..:
* INC # I8: 8 # G1: 2,4 => UNS * INC # I8: 8 # H2: 2,4 => UNS * INC # I8: 8 # G3: 2,4 => UNS * INC # I8: 8 # H3: 2,4 => UNS * INC # I8: 8 # H6: 2,4 => UNS * INC # I8: 8 # H6: 6,7 => UNS * INC # I8: 8 => UNS * INC # H9: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for F8,E9: 8..:
* INC # E9: 8 # G1: 2,4 => UNS * INC # E9: 8 # H2: 2,4 => UNS * INC # E9: 8 # G3: 2,4 => UNS * INC # E9: 8 # H3: 2,4 => UNS * INC # E9: 8 # H6: 2,4 => UNS * INC # E9: 8 # H6: 6,7 => UNS * INC # E9: 8 => UNS * INC # F8: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for H5,I5: 8..:
* INC # H5: 8 # G1: 2,4 => UNS * INC # H5: 8 # H2: 2,4 => UNS * INC # H5: 8 # G3: 2,4 => UNS * INC # H5: 8 # H3: 2,4 => UNS * INC # H5: 8 # H6: 2,4 => UNS * INC # H5: 8 # H6: 6,7 => UNS * INC # H5: 8 => UNS * INC # I5: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for E3,F3: 8..:
* INC # F3: 8 # G1: 2,4 => UNS * INC # F3: 8 # H2: 2,4 => UNS * INC # F3: 8 # G3: 2,4 => UNS * INC # F3: 8 # H3: 2,4 => UNS * INC # F3: 8 # H6: 2,4 => UNS * INC # F3: 8 # H6: 6,7 => UNS * INC # F3: 8 => UNS * INC # E3: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for I8,H9: 5..:
* INC # H9: 5 # G1: 2,4 => UNS * INC # H9: 5 # H2: 2,4 => UNS * INC # H9: 5 # G3: 2,4 => UNS * INC # H9: 5 # H3: 2,4 => UNS * INC # H9: 5 # H6: 2,4 => UNS * INC # H9: 5 # H6: 6,7 => UNS * INC # H9: 5 => UNS * INC # I8: 5 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED