Analysis of xx-ph-01744614-2015_08-base.sdk
Original Sudoku
level: very deep
position: 5.6...7...1.3.....8...5.9.....1...2.....8.6.7.....2.4.7...9...6.3...42....5...... initial
Autosolve
position: 5.6...7...1.3.....8.3.5.9.....1...2.....8.6.7.....2.4.7...9...6.3...42....5...... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:15.090569
The following important HDP chains were detected:
* DIS # F3: 7 # B9: 2,4 => CTR => B9: 6,8,9 * CNT 1 HDP CHAINS / 37 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000012
List of important HDP chains detected for C2,B3: 7..:
* DIS # B3: 7 # D1: 2,4 => CTR => D1: 8,9 * CNT 1 HDP CHAINS / 26 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:33.525731
List of important HDP chains detected for C2,B3: 7..:
* DIS # B3: 7 # D1: 2,4 => CTR => D1: 8,9 * DIS # B3: 7 + D1: 8,9 # F2: 8,9 # H9: 3,8 => CTR => H9: 7,9 * DIS # B3: 7 + D1: 8,9 # F2: 8,9 + H9: 7,9 # H7: 5 => CTR => H7: 3,8 * PRF # B3: 7 + D1: 8,9 # F2: 8,9 + H9: 7,9 + H7: 3,8 # I1: 2,4 => SOL * STA # B3: 7 + D1: 8,9 # F2: 8,9 + H9: 7,9 + H7: 3,8 + I1: 2,4 * CNT 4 HDP CHAINS / 50 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is very deep. Here is some information that may be helpful on how to proceed.
Positions
| 5.6...7...1.3.....8...5.9.....1...2.....8.6.7.....2.4.7...9...6.3...42....5...... | initial |
| 5.6...7...1.3.....8.3.5.9.....1...2.....8.6.7.....2.4.7...9...6.3...42....5...... | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) H3: 1,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H1,I1: 3.. / H1 = 3 => 1 pairs (_) / I1 = 3 => 2 pairs (_) E4,D5: 4.. / E4 = 4 => 3 pairs (_) / D5 = 4 => 1 pairs (_) H2,H3: 6.. / H2 = 6 => 3 pairs (_) / H3 = 6 => 2 pairs (_) C2,B3: 7.. / C2 = 7 => 2 pairs (_) / B3 = 7 => 4 pairs (_) H8,H9: 7.. / H8 = 7 => 2 pairs (_) / H9 = 7 => 1 pairs (_) * DURATION: 0:00:02.784153 START: 05:57:05.811352 END: 05:57:08.595505 2020-09-21 * CP COUNT: (5) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C2,B3: 7.. / C2 = 7 ==> 2 pairs (_) / B3 = 7 ==> 5 pairs (_) H2,H3: 6.. / H2 = 6 ==> 3 pairs (_) / H3 = 6 ==> 2 pairs (_) E4,D5: 4.. / E4 = 4 ==> 3 pairs (_) / D5 = 4 ==> 1 pairs (_) H8,H9: 7.. / H8 = 7 ==> 2 pairs (_) / H9 = 7 ==> 1 pairs (_) H1,I1: 3.. / H1 = 3 ==> 1 pairs (_) / I1 = 3 ==> 2 pairs (_) * DURATION: 0:00:33.897725 START: 05:57:25.416077 END: 05:57:59.313802 2020-09-21 * REASONING C2,B3: 7.. * DIS # B3: 7 # D1: 2,4 => CTR => D1: 8,9 * CNT 1 HDP CHAINS / 26 HYP OPENED * DCP COUNT: (5) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) C2,B3: 7.. / C2 = 7 => 0 pairs (X) / B3 = 7 ==> 0 pairs (*) * DURATION: 0:00:33.523572 START: 05:57:59.371738 END: 05:58:32.895310 2020-09-21 * REASONING C2,B3: 7.. * DIS # B3: 7 # D1: 2,4 => CTR => D1: 8,9 * DIS # B3: 7 + D1: 8,9 # F2: 8,9 # H9: 3,8 => CTR => H9: 7,9 * DIS # B3: 7 + D1: 8,9 # F2: 8,9 + H9: 7,9 # H7: 5 => CTR => H7: 3,8 * PRF # B3: 7 + D1: 8,9 # F2: 8,9 + H9: 7,9 + H7: 3,8 # I1: 2,4 => SOL * STA # B3: 7 + D1: 8,9 # F2: 8,9 + H9: 7,9 + H7: 3,8 + I1: 2,4 * CNT 4 HDP CHAINS / 50 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
1744614;2015_08;OW;22;11.90;1.20;1.20
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # F3: 1,6 => UNS * INC # F3: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F3: 1,6 => UNS * INC # F3: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F3: 1,6 => UNS * INC # F3: 7 => UNS * INC # F3: 1,6 # F9: 1,6 => UNS * INC # F3: 1,6 # F9: 3,7,8 => UNS * INC # F3: 1,6 # I1: 2,4 => UNS * INC # F3: 1,6 # I2: 2,4 => UNS * INC # F3: 1,6 # B3: 2,4 => UNS * INC # F3: 1,6 # D3: 2,4 => UNS * INC # F3: 1,6 => UNS * INC # F3: 7 # B1: 2,4 => UNS * INC # F3: 7 # A2: 2,4 => UNS * INC # F3: 7 # D3: 2,4 => UNS * INC # F3: 7 # I3: 2,4 => UNS * INC # F3: 7 # B5: 2,4 => UNS * INC # F3: 7 # B7: 2,4 => UNS * DIS # F3: 7 # B9: 2,4 => CTR => B9: 6,8,9 * INC # F3: 7 + B9: 6,8,9 # B1: 2,4 => UNS * INC # F3: 7 + B9: 6,8,9 # A2: 2,4 => UNS * INC # F3: 7 + B9: 6,8,9 # D3: 2,4 => UNS * INC # F3: 7 + B9: 6,8,9 # I3: 2,4 => UNS * INC # F3: 7 + B9: 6,8,9 # B5: 2,4 => UNS * INC # F3: 7 + B9: 6,8,9 # B7: 2,4 => UNS * INC # F3: 7 + B9: 6,8,9 # I1: 3,8 => UNS * INC # F3: 7 + B9: 6,8,9 # I1: 2,4 => UNS * INC # F3: 7 + B9: 6,8,9 # H7: 3,8 => UNS * INC # F3: 7 + B9: 6,8,9 # H9: 3,8 => UNS * INC # F3: 7 + B9: 6,8,9 # B1: 2,4 => UNS * INC # F3: 7 + B9: 6,8,9 # A2: 2,4 => UNS * INC # F3: 7 + B9: 6,8,9 # D3: 2,4 => UNS * INC # F3: 7 + B9: 6,8,9 # I3: 2,4 => UNS * INC # F3: 7 + B9: 6,8,9 # B5: 2,4 => UNS * INC # F3: 7 + B9: 6,8,9 # B7: 2,4 => UNS * INC # F3: 7 + B9: 6,8,9 # I1: 3,8 => UNS * INC # F3: 7 + B9: 6,8,9 # I1: 2,4 => UNS * INC # F3: 7 + B9: 6,8,9 # H7: 3,8 => UNS * INC # F3: 7 + B9: 6,8,9 # H9: 3,8 => UNS * INC # F3: 7 + B9: 6,8,9 => UNS * CNT 37 HDP CHAINS / 37 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C2,B3: 7..:
* DIS # B3: 7 # D1: 2,4 => CTR => D1: 8,9 * INC # B3: 7 + D1: 8,9 # E1: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # E2: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F9: 1,6 => UNS * INC # B3: 7 + D1: 8,9 # F9: 3,7,8 => UNS * INC # B3: 7 + D1: 8,9 # I1: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # I2: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 => UNS * INC # B3: 7 + D1: 8,9 # F2: 8,9 => UNS * INC # B3: 7 + D1: 8,9 # E1: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # E2: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F9: 1,6 => UNS * INC # B3: 7 + D1: 8,9 # F9: 3,7,8 => UNS * INC # B3: 7 + D1: 8,9 # I1: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # I2: 2,4 => UNS * INC # B3: 7 + D1: 8,9 => UNS * INC # C2: 7 # B1: 2,4 => UNS * INC # C2: 7 # A2: 2,4 => UNS * INC # C2: 7 # D3: 2,4 => UNS * INC # C2: 7 # I3: 2,4 => UNS * INC # C2: 7 # B5: 2,4 => UNS * INC # C2: 7 # B7: 2,4 => UNS * INC # C2: 7 # B9: 2,4 => UNS * INC # C2: 7 # F3: 1,6 => UNS * INC # C2: 7 # F3: 7 => UNS * INC # C2: 7 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for H2,H3: 6..:
* INC # H2: 6 # D3: 6,7 => UNS * INC # H2: 6 # D3: 2,4 => UNS * INC # H2: 6 # F4: 6,7 => UNS * INC # H2: 6 # F9: 6,7 => UNS * INC # H2: 6 # I1: 3,8 => UNS * INC # H2: 6 # I1: 2,4 => UNS * INC # H2: 6 # H7: 3,8 => UNS * INC # H2: 6 # H9: 3,8 => UNS * INC # H2: 6 # I1: 2,4 => UNS * INC # H2: 6 # I2: 2,4 => UNS * INC # H2: 6 # B3: 2,4 => UNS * INC # H2: 6 # D3: 2,4 => UNS * INC # H2: 6 => UNS * INC # H3: 6 # F9: 1,7 => UNS * INC # H3: 6 # F9: 3,6,8 => UNS * INC # H3: 6 # G2: 5,8 => UNS * INC # H3: 6 # I2: 5,8 => UNS * INC # H3: 6 # H7: 5,8 => UNS * INC # H3: 6 # H8: 5,8 => UNS * INC # H3: 6 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for E4,D5: 4..:
* INC # E4: 4 # I1: 1,2 => UNS * INC # E4: 4 # I1: 3,4,8 => UNS * INC # E4: 4 # E9: 1,2 => UNS * INC # E4: 4 # E9: 3,6,7 => UNS * INC # E4: 4 # F3: 1,6 => UNS * INC # E4: 4 # F3: 7 => UNS * INC # E4: 4 # F4: 5,9 => UNS * INC # E4: 4 # F5: 5,9 => UNS * INC # E4: 4 # D6: 5,9 => UNS * INC # E4: 4 # B5: 5,9 => UNS * INC # E4: 4 # H5: 5,9 => UNS * INC # E4: 4 => UNS * INC # D5: 4 # F3: 1,6 => UNS * INC # D5: 4 # F3: 7 => UNS * INC # D5: 4 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for H8,H9: 7..:
* INC # H8: 7 # F3: 1,6 => UNS * INC # H8: 7 # F3: 7 => UNS * INC # H8: 7 # E9: 1,6 => UNS * INC # H8: 7 # F9: 1,6 => UNS * INC # H8: 7 # A8: 1,6 => UNS * INC # H8: 7 # A8: 9 => UNS * INC # H8: 7 => UNS * INC # H9: 7 # F3: 1,6 => UNS * INC # H9: 7 # F3: 7 => UNS * INC # H9: 7 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for H1,I1: 3..:
* INC # I1: 3 # F1: 1,8 => UNS * INC # I1: 3 # F1: 9 => UNS * INC # I1: 3 # H7: 1,8 => UNS * INC # I1: 3 # H8: 1,8 => UNS * INC # I1: 3 # H9: 1,8 => UNS * INC # I1: 3 # F3: 1,6 => UNS * INC # I1: 3 # F3: 7 => UNS * INC # I1: 3 => UNS * INC # H1: 3 # F3: 1,6 => UNS * INC # H1: 3 # F3: 7 => UNS * INC # H1: 3 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
A5. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for C2,B3: 7..:
* DIS # B3: 7 # D1: 2,4 => CTR => D1: 8,9 * INC # B3: 7 + D1: 8,9 # E1: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # E2: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F9: 1,6 => UNS * INC # B3: 7 + D1: 8,9 # F9: 3,7,8 => UNS * INC # B3: 7 + D1: 8,9 # I1: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # I2: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 => UNS * INC # B3: 7 + D1: 8,9 # F2: 8,9 => UNS * INC # B3: 7 + D1: 8,9 # E1: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # E2: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F9: 1,6 => UNS * INC # B3: 7 + D1: 8,9 # F9: 3,7,8 => UNS * INC # B3: 7 + D1: 8,9 # I1: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # I2: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # A2: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # C2: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # E1: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # I1: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # B5: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # B7: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # B9: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # E2: 6,7 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # E2: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # F4: 6,7 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # F9: 6,7 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # E1: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # E2: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # F9: 1,6 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # F9: 3,7,8 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # I1: 1,3 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # I1: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # H5: 1,3 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # H7: 1,3 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # H9: 1,3 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # I1: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 # I2: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F1: 8,9 => UNS * INC # B3: 7 + D1: 8,9 # F2: 8,9 # B1: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F2: 8,9 # I1: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F2: 8,9 # I1: 3,8 => UNS * INC # B3: 7 + D1: 8,9 # F2: 8,9 # I1: 2,4 => UNS * INC # B3: 7 + D1: 8,9 # F2: 8,9 # H7: 3,8 => UNS * DIS # B3: 7 + D1: 8,9 # F2: 8,9 # H9: 3,8 => CTR => H9: 7,9 * INC # B3: 7 + D1: 8,9 # F2: 8,9 + H9: 7,9 # H7: 3,8 => UNS * DIS # B3: 7 + D1: 8,9 # F2: 8,9 + H9: 7,9 # H7: 5 => CTR => H7: 3,8 * INC # B3: 7 + D1: 8,9 # F2: 8,9 + H9: 7,9 + H7: 3,8 # I1: 3,8 => UNS * PRF # B3: 7 + D1: 8,9 # F2: 8,9 + H9: 7,9 + H7: 3,8 # I1: 2,4 => SOL * STA # B3: 7 + D1: 8,9 # F2: 8,9 + H9: 7,9 + H7: 3,8 + I1: 2,4 * CNT 48 HDP CHAINS / 50 HYP OPENED