Analysis of xx-ph-01054810-13_07-base.sdk
Original Sudoku
level: deep
position: 98.7..6..7..6..5...43......5..9..7......8........6..2.1....9.7...9.761.....1...5. initial
Autosolve
position: 9857..6..7..6..5..643.....75..9..7......8........6..2.1....9.7...9.761.....1...5. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:37.686377
The following important HDP chains were detected:
* DIS # B4: 1,2 # C4: 1,2 => CTR => C4: 4,6,8 * DIS # C4: 1,2 # B4: 1,2 => CTR => B4: 3,6 * CNT 2 HDP CHAINS / 74 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000013
List of important HDP chains detected for B8,D8: 5..:
* DIS # D8: 5 # E4: 3,4 => CTR => E4: 1,2 * DIS # D8: 5 + E4: 1,2 # G6: 3,4 => CTR => G6: 8,9 * DIS # D8: 5 + E4: 1,2 + G6: 8,9 # I6: 3,4 => CTR => I6: 1,5,8,9 * DIS # D8: 5 + E4: 1,2 + G6: 8,9 + I6: 1,5,8,9 # A6: 8 => CTR => A6: 3,4 * PRF # D8: 5 + E4: 1,2 + G6: 8,9 + I6: 1,5,8,9 + A6: 3,4 # D7: 3,4 => SOL * STA # D8: 5 + E4: 1,2 + G6: 8,9 + I6: 1,5,8,9 + A6: 3,4 + D7: 3,4 * CNT 5 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
| 98.7..6..7..6..5...43......5..9..7......8........6..2.1....9.7...9.761.....1...5. | initial |
| 9857..6..7..6..5..643.....75..9..7......8........6..2.1....9.7...9.761.....1...5. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (2) B2: 1,2 C2: 1,2 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B2,C2: 1.. / B2 = 1 => 0 pairs (_) / C2 = 1 => 1 pairs (_) B2,C2: 2.. / B2 = 2 => 1 pairs (_) / C2 = 2 => 0 pairs (_) I1,G3: 2.. / I1 = 2 => 3 pairs (_) / G3 = 2 => 3 pairs (_) I5,I6: 5.. / I5 = 5 => 2 pairs (_) / I6 = 5 => 3 pairs (_) B7,B8: 5.. / B7 = 5 => 7 pairs (_) / B8 = 5 => 2 pairs (_) B8,D8: 5.. / B8 = 5 => 2 pairs (_) / D8 = 5 => 7 pairs (_) E3,E7: 5.. / E3 = 5 => 6 pairs (_) / E7 = 5 => 2 pairs (_) H4,H5: 6.. / H4 = 6 => 2 pairs (_) / H5 = 6 => 3 pairs (_) I7,I9: 6.. / I7 = 6 => 4 pairs (_) / I9 = 6 => 4 pairs (_) F5,F6: 7.. / F5 = 7 => 2 pairs (_) / F6 = 7 => 2 pairs (_) B9,C9: 7.. / B9 = 7 => 2 pairs (_) / C9 = 7 => 4 pairs (_) E2,E3: 9.. / E2 = 9 => 2 pairs (_) / E3 = 9 => 5 pairs (_) B5,B6: 9.. / B5 = 9 => 4 pairs (_) / B6 = 9 => 2 pairs (_) G9,I9: 9.. / G9 = 9 => 4 pairs (_) / I9 = 9 => 4 pairs (_) * DURATION: 0:00:10.894971 START: 19:12:59.715879 END: 19:13:10.610850 2021-01-11 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B8,D8: 5.. / B8 = 5 => 0 pairs (X) / D8 = 5 ==> 0 pairs (*) * DURATION: 0:00:25.340240 START: 19:13:52.500718 END: 19:14:17.840958 2021-01-11 * REASONING B8,D8: 5.. * DIS # D8: 5 # E4: 3,4 => CTR => E4: 1,2 * DIS # D8: 5 + E4: 1,2 # G6: 3,4 => CTR => G6: 8,9 * DIS # D8: 5 + E4: 1,2 + G6: 8,9 # I6: 3,4 => CTR => I6: 1,5,8,9 * DIS # D8: 5 + E4: 1,2 + G6: 8,9 + I6: 1,5,8,9 # A6: 8 => CTR => A6: 3,4 * PRF # D8: 5 + E4: 1,2 + G6: 8,9 + I6: 1,5,8,9 + A6: 3,4 # D7: 3,4 => SOL * STA # D8: 5 + E4: 1,2 + G6: 8,9 + I6: 1,5,8,9 + A6: 3,4 + D7: 3,4 * CNT 5 HDP CHAINS / 20 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
1054810;13_07;GP;24;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # B4: 1,2 => UNS * INC # B5: 1,2 => UNS * INC # C4: 1,2 => UNS * INC # C5: 1,2 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B4: 1,2 => UNS * INC # B5: 1,2 => UNS * INC # C4: 1,2 => UNS * INC # C5: 1,2 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B4: 1,2 => UNS * INC # B5: 1,2 => UNS * INC # C4: 1,2 => UNS * INC # C5: 1,2 => UNS * DIS # B4: 1,2 # C4: 1,2 => CTR => C4: 4,6,8 * INC # B4: 1,2 + C4: 4,6,8 # C5: 1,2 => UNS * INC # B4: 1,2 + C4: 4,6,8 # C5: 1,2 => UNS * INC # B4: 1,2 + C4: 4,6,8 # C5: 4,6,7 => UNS * INC # B4: 1,2 + C4: 4,6,8 # C5: 1,2 => UNS * INC # B4: 1,2 + C4: 4,6,8 # C5: 4,6,7 => UNS * INC # B4: 1,2 + C4: 4,6,8 # C5: 1,2 => UNS * INC # B4: 1,2 + C4: 4,6,8 # C5: 4,6,7 => UNS * INC # B4: 1,2 + C4: 4,6,8 # E4: 1,2 => UNS * INC # B4: 1,2 + C4: 4,6,8 # F4: 1,2 => UNS * INC # B4: 1,2 + C4: 4,6,8 # B7: 3,5 => UNS * INC # B4: 1,2 + C4: 4,6,8 # B7: 6 => UNS * INC # B4: 1,2 + C4: 4,6,8 # D8: 3,5 => UNS * INC # B4: 1,2 + C4: 4,6,8 # D8: 2,4,8 => UNS * INC # B4: 1,2 + C4: 4,6,8 # C5: 1,2 => UNS * INC # B4: 1,2 + C4: 4,6,8 # C5: 4,6,7 => UNS * INC # B4: 1,2 + C4: 4,6,8 # C5: 1,2 => UNS * INC # B4: 1,2 + C4: 4,6,8 # C5: 4,6,7 => UNS * INC # B4: 1,2 + C4: 4,6,8 # E4: 1,2 => UNS * INC # B4: 1,2 + C4: 4,6,8 # F4: 1,2 => UNS * INC # B4: 1,2 + C4: 4,6,8 # B7: 3,5 => UNS * INC # B4: 1,2 + C4: 4,6,8 # B7: 6 => UNS * INC # B4: 1,2 + C4: 4,6,8 # D8: 3,5 => UNS * INC # B4: 1,2 + C4: 4,6,8 # D8: 2,4,8 => UNS * INC # B4: 1,2 + C4: 4,6,8 => UNS * INC # B5: 1,2 # C4: 1,2 => UNS * INC # B5: 1,2 # C5: 1,2 => UNS * INC # B5: 1,2 # H4: 3,6 => UNS * INC # B5: 1,2 # H4: 1,4,8 => UNS * INC # B5: 1,2 # B7: 3,6 => UNS * INC # B5: 1,2 # B7: 5 => UNS * INC # B5: 1,2 # C4: 1,2 => UNS * INC # B5: 1,2 # C5: 1,2 => UNS * INC # B5: 1,2 # F5: 1,2 => UNS * INC # B5: 1,2 # F5: 3,4,5,7 => UNS * INC # B5: 1,2 # B7: 3,5 => UNS * INC # B5: 1,2 # B7: 6 => UNS * INC # B5: 1,2 # D8: 3,5 => UNS * INC # B5: 1,2 # D8: 2,4,8 => UNS * INC # B5: 1,2 => UNS * DIS # C4: 1,2 # B4: 1,2 => CTR => B4: 3,6 * INC # C4: 1,2 + B4: 3,6 # B5: 1,2 => UNS * INC # C4: 1,2 + B4: 3,6 # B5: 1,2 => UNS * INC # C4: 1,2 + B4: 3,6 # B5: 3,6,7,9 => UNS * INC # C4: 1,2 + B4: 3,6 # B5: 1,2 => UNS * INC # C4: 1,2 + B4: 3,6 # B5: 3,6,7,9 => UNS * INC # C4: 1,2 + B4: 3,6 # B5: 1,2 => UNS * INC # C4: 1,2 + B4: 3,6 # B5: 3,6,7,9 => UNS * INC # C4: 1,2 + B4: 3,6 # E4: 1,2 => UNS * INC # C4: 1,2 + B4: 3,6 # F4: 1,2 => UNS * INC # C4: 1,2 + B4: 3,6 # B5: 1,2 => UNS * INC # C4: 1,2 + B4: 3,6 # B5: 3,6,7,9 => UNS * INC # C4: 1,2 + B4: 3,6 # B5: 3,6 => UNS * INC # C4: 1,2 + B4: 3,6 # B5: 1,2,7,9 => UNS * INC # C4: 1,2 + B4: 3,6 # H4: 3,6 => UNS * INC # C4: 1,2 + B4: 3,6 # H4: 1,4,8 => UNS * INC # C4: 1,2 + B4: 3,6 # B7: 3,6 => UNS * INC # C4: 1,2 + B4: 3,6 # B9: 3,6 => UNS * INC # C4: 1,2 + B4: 3,6 # B5: 1,2 => UNS * INC # C4: 1,2 + B4: 3,6 # B5: 3,6,7,9 => UNS * INC # C4: 1,2 + B4: 3,6 # E4: 1,2 => UNS * INC # C4: 1,2 + B4: 3,6 # F4: 1,2 => UNS * INC # C4: 1,2 + B4: 3,6 => UNS * INC # C5: 1,2 # B4: 1,2 => UNS * INC # C5: 1,2 # B5: 1,2 => UNS * INC # C5: 1,2 # B4: 1,2 => UNS * INC # C5: 1,2 # B5: 1,2 => UNS * INC # C5: 1,2 # F5: 1,2 => UNS * INC # C5: 1,2 # F5: 3,4,5,7 => UNS * INC # C5: 1,2 => UNS * CNT 74 HDP CHAINS / 74 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B8,D8: 5..:
* INC # D8: 5 # B5: 1,2 => UNS * INC # D8: 5 # B5: 3,6,7,9 => UNS * INC # D8: 5 # C5: 1,2 => UNS * INC # D8: 5 # C5: 4,6,7 => UNS * INC # D8: 5 # F3: 2,8 => UNS * INC # D8: 5 # F3: 1 => UNS * INC # D8: 5 # G3: 2,8 => UNS * INC # D8: 5 # G3: 9 => UNS * INC # D8: 5 # D7: 2,8 => UNS * INC # D8: 5 # D7: 3,4 => UNS * DIS # D8: 5 # E4: 3,4 => CTR => E4: 1,2 * INC # D8: 5 + E4: 1,2 # F4: 3,4 => UNS * INC # D8: 5 + E4: 1,2 # D5: 3,4 => UNS * INC # D8: 5 + E4: 1,2 # A6: 3,4 => UNS * DIS # D8: 5 + E4: 1,2 # G6: 3,4 => CTR => G6: 8,9 * DIS # D8: 5 + E4: 1,2 + G6: 8,9 # I6: 3,4 => CTR => I6: 1,5,8,9 * INC # D8: 5 + E4: 1,2 + G6: 8,9 + I6: 1,5,8,9 # A6: 3,4 => UNS * DIS # D8: 5 + E4: 1,2 + G6: 8,9 + I6: 1,5,8,9 # A6: 8 => CTR => A6: 3,4 * PRF # D8: 5 + E4: 1,2 + G6: 8,9 + I6: 1,5,8,9 + A6: 3,4 # D7: 3,4 => SOL * STA # D8: 5 + E4: 1,2 + G6: 8,9 + I6: 1,5,8,9 + A6: 3,4 + D7: 3,4 * CNT 19 HDP CHAINS / 20 HYP OPENED