Analysis of xx-ph-00000679-924-base.sdk
Contents
Original Sudoku
level: deep
position: 1............892...8.23.......5....7..4....6..9...38..7......5...6.....4.3...21.. initial
Autosolve
position: 1............892...8.23.......5....7..4....6..9...38..7......5...6.....4.3...21.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000008
List of important HDP chains detected for B1,C1: 2..:
* DIS # C1: 2 # G4: 3,9 => CTR => G4: 4 * DIS # C1: 2 + G4: 4 # G5: 3,9 => CTR => G5: 5 * DIS # C1: 2 + G4: 4 + G5: 5 # C2: 5,7 => CTR => C2: 3 * DIS # C1: 2 + G4: 4 + G5: 5 + C2: 3 # C3: 9 => CTR => C3: 5,7 * DIS # C1: 2 + G4: 4 + G5: 5 + C2: 3 + C3: 5,7 # H8: 3,9 => CTR => H8: 2,7,8 * DIS # C1: 2 + G4: 4 + G5: 5 + C2: 3 + C3: 5,7 + H8: 2,7,8 # H1: 8 => CTR => H1: 3,9 * DIS # C1: 2 + G4: 4 + G5: 5 + C2: 3 + C3: 5,7 + H8: 2,7,8 + H1: 3,9 # I7: 3,9 => CTR => I7: 2,6 * DIS # C1: 2 + G4: 4 + G5: 5 + C2: 3 + C3: 5,7 + H8: 2,7,8 + H1: 3,9 + I7: 2,6 => CTR => C1: 3,5,7,9 * STA C1: 3,5,7,9 * CNT 8 HDP CHAINS / 38 HYP OPENED
List of important HDP chains detected for B5,C6: 7..:
* DIS # C6: 7 # C1: 5,9 => CTR => C1: 2,3 * DIS # C6: 7 + C1: 2,3 # A3: 5,9 => CTR => A3: 4,6 * CNT 2 HDP CHAINS / 25 HYP OPENED
List of important HDP chains detected for B7,A9: 4..:
* DIS # A9: 4 # B4: 1,2 => CTR => B4: 6 * DIS # A9: 4 + B4: 6 # B5: 1,2 => CTR => B5: 5,7 * CNT 2 HDP CHAINS / 20 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| 1............892...8.23.......5....7..4....6..9...38..7......5...6.....4.3...21.. | initial |
| 1............892...8.23.......5....7..4....6..9...38..7......5...6.....4.3...21.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,F3: 1.. / D2 = 1 => 0 pairs (_) / F3 = 1 => 1 pairs (_) B1,C1: 2.. / B1 = 2 => 3 pairs (_) / C1 = 2 => 1 pairs (_) I7,H8: 2.. / I7 = 2 => 2 pairs (_) / H8 = 2 => 3 pairs (_) D7,D8: 3.. / D7 = 3 => 1 pairs (_) / D8 = 3 => 1 pairs (_) B7,A9: 4.. / B7 = 4 => 0 pairs (_) / A9 = 4 => 1 pairs (_) B5,C6: 7.. / B5 = 7 => 1 pairs (_) / C6 = 7 => 2 pairs (_) H1,I1: 8.. / H1 = 8 => 1 pairs (_) / I1 = 8 => 1 pairs (_) * DURATION: 0:00:04.477061 START: 04:32:23.856770 END: 04:32:28.333831 2020-11-21 * CP COUNT: (7) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I7,H8: 2.. / I7 = 2 ==> 2 pairs (_) / H8 = 2 ==> 3 pairs (_) B1,C1: 2.. / B1 = 2 ==> 3 pairs (_) / C1 = 2 ==> 0 pairs (X) B5,C6: 7.. / B5 = 7 ==> 1 pairs (_) / C6 = 7 ==> 4 pairs (_) H1,I1: 8.. / H1 = 8 ==> 1 pairs (_) / I1 = 8 ==> 1 pairs (_) D7,D8: 3.. / D7 = 3 ==> 1 pairs (_) / D8 = 3 ==> 1 pairs (_) B7,A9: 4.. / B7 = 4 ==> 0 pairs (_) / A9 = 4 ==> 3 pairs (_) D2,F3: 1.. / D2 = 1 ==> 0 pairs (_) / F3 = 1 ==> 1 pairs (_) * DURATION: 0:01:19.367665 START: 04:32:28.334642 END: 04:33:47.702307 2020-11-21 * REASONING B1,C1: 2.. * DIS # C1: 2 # G4: 3,9 => CTR => G4: 4 * DIS # C1: 2 + G4: 4 # G5: 3,9 => CTR => G5: 5 * DIS # C1: 2 + G4: 4 + G5: 5 # C2: 5,7 => CTR => C2: 3 * DIS # C1: 2 + G4: 4 + G5: 5 + C2: 3 # C3: 9 => CTR => C3: 5,7 * DIS # C1: 2 + G4: 4 + G5: 5 + C2: 3 + C3: 5,7 # H8: 3,9 => CTR => H8: 2,7,8 * DIS # C1: 2 + G4: 4 + G5: 5 + C2: 3 + C3: 5,7 + H8: 2,7,8 # H1: 8 => CTR => H1: 3,9 * DIS # C1: 2 + G4: 4 + G5: 5 + C2: 3 + C3: 5,7 + H8: 2,7,8 + H1: 3,9 # I7: 3,9 => CTR => I7: 2,6 * DIS # C1: 2 + G4: 4 + G5: 5 + C2: 3 + C3: 5,7 + H8: 2,7,8 + H1: 3,9 + I7: 2,6 => CTR => C1: 3,5,7,9 * STA C1: 3,5,7,9 * CNT 8 HDP CHAINS / 38 HYP OPENED * REASONING B5,C6: 7.. * DIS # C6: 7 # C1: 5,9 => CTR => C1: 2,3 * DIS # C6: 7 + C1: 2,3 # A3: 5,9 => CTR => A3: 4,6 * CNT 2 HDP CHAINS / 25 HYP OPENED * REASONING B7,A9: 4.. * DIS # A9: 4 # B4: 1,2 => CTR => B4: 6 * DIS # A9: 4 + B4: 6 # B5: 1,2 => CTR => B5: 5,7 * CNT 2 HDP CHAINS / 20 HYP OPENED * DCP COUNT: (7) * CLUE FOUND
Header Info
679;924;elev;21;11.30;11.30;10.50
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I7,H8: 2..:
* INC # H8: 2 # E4: 1,6 => UNS * INC # H8: 2 # F4: 1,6 => UNS * INC # H8: 2 # H4: 1,4 => UNS * INC # H8: 2 # H4: 3,9 => UNS * INC # H8: 2 # D6: 1,4 => UNS * INC # H8: 2 # E6: 1,4 => UNS * INC # H8: 2 # H2: 1,4 => UNS * INC # H8: 2 # H3: 1,4 => UNS * INC # H8: 2 # E8: 1,5 => UNS * INC # H8: 2 # F8: 1,5 => UNS * INC # H8: 2 # B5: 1,5 => UNS * INC # H8: 2 # B5: 7 => UNS * INC # H8: 2 => UNS * INC # I7: 2 # I5: 1,5 => UNS * INC # I7: 2 # I5: 3,9 => UNS * INC # I7: 2 # C6: 1,5 => UNS * INC # I7: 2 # C6: 2,7 => UNS * INC # I7: 2 # I2: 1,5 => UNS * INC # I7: 2 # I3: 1,5 => UNS * INC # I7: 2 # D7: 1,4 => UNS * INC # I7: 2 # E7: 1,4 => UNS * INC # I7: 2 # F7: 1,4 => UNS * INC # I7: 2 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for B1,C1: 2..:
* INC # B1: 2 # E4: 1,6 => UNS * INC # B1: 2 # F4: 1,6 => UNS * INC # B1: 2 # D7: 1,4 => UNS * INC # B1: 2 # E7: 1,4 => UNS * INC # B1: 2 # F7: 1,4 => UNS * INC # B1: 2 # E8: 1,5 => UNS * INC # B1: 2 # F8: 1,5 => UNS * INC # B1: 2 # B5: 1,5 => UNS * INC # B1: 2 # B5: 7 => UNS * INC # B1: 2 => UNS * INC # C1: 2 # H1: 3,9 => UNS * INC # C1: 2 # I1: 3,9 => UNS * DIS # C1: 2 # G4: 3,9 => CTR => G4: 4 * DIS # C1: 2 + G4: 4 # G5: 3,9 => CTR => G5: 5 * INC # C1: 2 + G4: 4 + G5: 5 # G7: 3,9 => UNS * INC # C1: 2 + G4: 4 + G5: 5 # G8: 3,9 => UNS * INC # C1: 2 + G4: 4 + G5: 5 # H1: 3,9 => UNS * INC # C1: 2 + G4: 4 + G5: 5 # I1: 3,9 => UNS * INC # C1: 2 + G4: 4 + G5: 5 # G7: 3,9 => UNS * INC # C1: 2 + G4: 4 + G5: 5 # G8: 3,9 => UNS * INC # C1: 2 + G4: 4 + G5: 5 # H1: 3,9 => UNS * INC # C1: 2 + G4: 4 + G5: 5 # I1: 3,9 => UNS * INC # C1: 2 + G4: 4 + G5: 5 # G7: 3,9 => UNS * INC # C1: 2 + G4: 4 + G5: 5 # G8: 3,9 => UNS * INC # C1: 2 + G4: 4 + G5: 5 # F3: 6,7 => UNS * INC # C1: 2 + G4: 4 + G5: 5 # F3: 1,4,5 => UNS * INC # C1: 2 + G4: 4 + G5: 5 # A2: 5,6 => UNS * INC # C1: 2 + G4: 4 + G5: 5 # A3: 5,6 => UNS * DIS # C1: 2 + G4: 4 + G5: 5 # C2: 5,7 => CTR => C2: 3 * INC # C1: 2 + G4: 4 + G5: 5 + C2: 3 # C3: 5,7 => UNS * INC # C1: 2 + G4: 4 + G5: 5 + C2: 3 # C3: 5,7 => UNS * DIS # C1: 2 + G4: 4 + G5: 5 + C2: 3 # C3: 9 => CTR => C3: 5,7 * INC # C1: 2 + G4: 4 + G5: 5 + C2: 3 + C3: 5,7 # H1: 3,9 => UNS * DIS # C1: 2 + G4: 4 + G5: 5 + C2: 3 + C3: 5,7 # H8: 3,9 => CTR => H8: 2,7,8 * INC # C1: 2 + G4: 4 + G5: 5 + C2: 3 + C3: 5,7 + H8: 2,7,8 # H1: 3,9 => UNS * DIS # C1: 2 + G4: 4 + G5: 5 + C2: 3 + C3: 5,7 + H8: 2,7,8 # H1: 8 => CTR => H1: 3,9 * DIS # C1: 2 + G4: 4 + G5: 5 + C2: 3 + C3: 5,7 + H8: 2,7,8 + H1: 3,9 # I7: 3,9 => CTR => I7: 2,6 * DIS # C1: 2 + G4: 4 + G5: 5 + C2: 3 + C3: 5,7 + H8: 2,7,8 + H1: 3,9 + I7: 2,6 => CTR => C1: 3,5,7,9 * STA C1: 3,5,7,9 * CNT 38 HDP CHAINS / 38 HYP OPENED
Full list of HDP chains traversed for B5,C6: 7..:
* INC # C6: 7 # C1: 3,5 => UNS * INC # C6: 7 # A2: 3,5 => UNS * INC # C6: 7 # I2: 3,5 => UNS * INC # C6: 7 # I2: 1,6 => UNS * DIS # C6: 7 # C1: 5,9 => CTR => C1: 2,3 * DIS # C6: 7 + C1: 2,3 # A3: 5,9 => CTR => A3: 4,6 * INC # C6: 7 + C1: 2,3 + A3: 4,6 # C4: 2,3 => UNS * INC # C6: 7 + C1: 2,3 + A3: 4,6 # C4: 1,8 => UNS * INC # C6: 7 + C1: 2,3 + A3: 4,6 # A2: 3,5 => UNS * INC # C6: 7 + C1: 2,3 + A3: 4,6 # A2: 4,6 => UNS * INC # C6: 7 + C1: 2,3 + A3: 4,6 # I2: 3,5 => UNS * INC # C6: 7 + C1: 2,3 + A3: 4,6 # I2: 1,6 => UNS * INC # C6: 7 + C1: 2,3 + A3: 4,6 # B1: 4,6 => UNS * INC # C6: 7 + C1: 2,3 + A3: 4,6 # A2: 4,6 => UNS * INC # C6: 7 + C1: 2,3 + A3: 4,6 # B2: 4,6 => UNS * INC # C6: 7 + C1: 2,3 + A3: 4,6 # F3: 4,6 => UNS * INC # C6: 7 + C1: 2,3 + A3: 4,6 # G3: 4,6 => UNS * INC # C6: 7 + C1: 2,3 + A3: 4,6 # A8: 5,8 => UNS * INC # C6: 7 + C1: 2,3 + A3: 4,6 # A9: 5,8 => UNS * INC # C6: 7 + C1: 2,3 + A3: 4,6 => UNS * INC # B5: 7 # F4: 1,8 => UNS * INC # B5: 7 # D5: 1,8 => UNS * INC # B5: 7 # F7: 1,8 => UNS * INC # B5: 7 # F8: 1,8 => UNS * INC # B5: 7 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for H1,I1: 8..:
* INC # H1: 8 # G8: 7,9 => UNS * INC # H1: 8 # H8: 7,9 => UNS * INC # H1: 8 # D9: 7,9 => UNS * INC # H1: 8 # E9: 7,9 => UNS * INC # H1: 8 # H3: 7,9 => UNS * INC # H1: 8 # H3: 1,4 => UNS * INC # H1: 8 => UNS * INC # I1: 8 # G7: 6,9 => UNS * INC # I1: 8 # I7: 6,9 => UNS * INC # I1: 8 # D9: 6,9 => UNS * INC # I1: 8 # E9: 6,9 => UNS * INC # I1: 8 # I3: 6,9 => UNS * INC # I1: 8 # I3: 1,5 => UNS * INC # I1: 8 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for D7,D8: 3..:
* INC # D7: 3 # I7: 6,9 => UNS * INC # D7: 3 # I9: 6,9 => UNS * INC # D7: 3 # E7: 6,9 => UNS * INC # D7: 3 # E7: 1,4 => UNS * INC # D7: 3 # G1: 6,9 => UNS * INC # D7: 3 # G3: 6,9 => UNS * INC # D7: 3 => UNS * INC # D8: 3 # H8: 7,9 => UNS * INC # D8: 3 # H9: 7,9 => UNS * INC # D8: 3 # E8: 7,9 => UNS * INC # D8: 3 # E8: 1,5 => UNS * INC # D8: 3 # G1: 7,9 => UNS * INC # D8: 3 # G3: 7,9 => UNS * INC # D8: 3 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for B7,A9: 4..:
* INC # A9: 4 # C7: 1,2 => UNS * INC # A9: 4 # B8: 1,2 => UNS * DIS # A9: 4 # B4: 1,2 => CTR => B4: 6 * DIS # A9: 4 + B4: 6 # B5: 1,2 => CTR => B5: 5,7 * INC # A9: 4 + B4: 6 + B5: 5,7 # B8: 1,2 => UNS * INC # A9: 4 + B4: 6 + B5: 5,7 # B8: 5 => UNS * INC # A9: 4 + B4: 6 + B5: 5,7 # C6: 5,7 => UNS * INC # A9: 4 + B4: 6 + B5: 5,7 # C6: 1,2 => UNS * INC # A9: 4 + B4: 6 + B5: 5,7 # B1: 5,7 => UNS * INC # A9: 4 + B4: 6 + B5: 5,7 # B2: 5,7 => UNS * INC # A9: 4 + B4: 6 + B5: 5,7 # A5: 2,5 => UNS * INC # A9: 4 + B4: 6 + B5: 5,7 # C6: 2,5 => UNS * INC # A9: 4 + B4: 6 + B5: 5,7 # I6: 2,5 => UNS * INC # A9: 4 + B4: 6 + B5: 5,7 # I6: 1 => UNS * INC # A9: 4 + B4: 6 + B5: 5,7 # A8: 2,5 => UNS * INC # A9: 4 + B4: 6 + B5: 5,7 # A8: 8,9 => UNS * INC # A9: 4 + B4: 6 + B5: 5,7 # B8: 1,2 => UNS * INC # A9: 4 + B4: 6 + B5: 5,7 # B8: 5 => UNS * INC # A9: 4 + B4: 6 + B5: 5,7 => UNS * INC # B7: 4 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for D2,F3: 1..:
* INC # F3: 1 # D5: 7,8 => UNS * INC # F3: 1 # D5: 1,9 => UNS * INC # F3: 1 # F8: 7,8 => UNS * INC # F3: 1 # F8: 5 => UNS * INC # F3: 1 => UNS * INC # D2: 1 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED