Analysis of xx-ph-00012868-kz0-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..5...9......7..6....4...7.3...9.6.7.....2....1..8.7.5.....3....4.....1.2. initial
Autosolve
position: 98.7..6..5...9......7..6....4...7.3...9.6.7.....2....1..8.7.5.....3....4.....1.2. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000009
List of important HDP chains detected for D4,F6: 9..:
* DIS # F6: 9 # G2: 4,8 => CTR => G2: 1,2,3 * CNT 1 HDP CHAINS / 50 HYP OPENED
List of important HDP chains detected for B2,C2: 6..:
* DIS # C2: 6 # B6: 3,5 => CTR => B6: 6,7 * CNT 1 HDP CHAINS / 20 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:45.230854
List of important HDP chains detected for D7,D9: 6..:
* DIS # D7: 6 # I4: 2,9 # C9: 4 => CTR => C9: 3,5 * PRF # D7: 6 # I4: 2,9 + C9: 3,5 # B6: 7 => SOL * STA # D7: 6 # I4: 2,9 + C9: 3,5 + B6: 7 * CNT 2 HDP CHAINS / 36 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
| 98.7..6..5...9......7..6....4...7.3...9.6.7.....2....1..8.7.5.....3....4.....1.2. | initial |
| 98.7..6..5...9......7..6....4...7.3...9.6.7.....2....1..8.7.5.....3....4.....1.2. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B2,C2: 6.. / B2 = 6 => 0 pairs (_) / C2 = 6 => 1 pairs (_) I4,H6: 6.. / I4 = 6 => 1 pairs (_) / H6 = 6 => 2 pairs (_) D7,D9: 6.. / D7 = 6 => 6 pairs (_) / D9 = 6 => 1 pairs (_) H2,I2: 7.. / H2 = 7 => 0 pairs (_) / I2 = 7 => 0 pairs (_) A6,B6: 7.. / A6 = 7 => 0 pairs (_) / B6 = 7 => 0 pairs (_) H8,I9: 7.. / H8 = 7 => 0 pairs (_) / I9 = 7 => 0 pairs (_) H2,H8: 7.. / H2 = 7 => 0 pairs (_) / H8 = 7 => 0 pairs (_) I2,I9: 7.. / I2 = 7 => 0 pairs (_) / I9 = 7 => 0 pairs (_) D4,F6: 9.. / D4 = 9 => 2 pairs (_) / F6 = 9 => 4 pairs (_) * DURATION: 0:00:07.276802 START: 03:09:40.204527 END: 03:09:47.481329 2020-10-19 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D7,D9: 6.. / D7 = 6 ==> 6 pairs (_) / D9 = 6 ==> 1 pairs (_) D4,F6: 9.. / D4 = 9 ==> 2 pairs (_) / F6 = 9 ==> 4 pairs (_) I4,H6: 6.. / I4 = 6 ==> 1 pairs (_) / H6 = 6 ==> 2 pairs (_) B2,C2: 6.. / B2 = 6 ==> 0 pairs (_) / C2 = 6 ==> 2 pairs (_) I2,I9: 7.. / I2 = 7 ==> 0 pairs (_) / I9 = 7 ==> 0 pairs (_) H2,H8: 7.. / H2 = 7 ==> 0 pairs (_) / H8 = 7 ==> 0 pairs (_) H8,I9: 7.. / H8 = 7 ==> 0 pairs (_) / I9 = 7 ==> 0 pairs (_) A6,B6: 7.. / A6 = 7 ==> 0 pairs (_) / B6 = 7 ==> 0 pairs (_) H2,I2: 7.. / H2 = 7 ==> 0 pairs (_) / I2 = 7 ==> 0 pairs (_) * DURATION: 0:01:22.116970 START: 03:09:47.482140 END: 03:11:09.599110 2020-10-19 * REASONING D4,F6: 9.. * DIS # F6: 9 # G2: 4,8 => CTR => G2: 1,2,3 * CNT 1 HDP CHAINS / 50 HYP OPENED * REASONING B2,C2: 6.. * DIS # C2: 6 # B6: 3,5 => CTR => B6: 6,7 * CNT 1 HDP CHAINS / 20 HYP OPENED * DCP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) D7,D9: 6.. / D7 = 6 ==> 0 pairs (*) / D9 = 6 => 0 pairs (X) * DURATION: 0:00:45.229502 START: 03:11:09.713826 END: 03:11:54.943328 2020-10-19 * REASONING D7,D9: 6.. * DIS # D7: 6 # I4: 2,9 # C9: 4 => CTR => C9: 3,5 * PRF # D7: 6 # I4: 2,9 + C9: 3,5 # B6: 7 => SOL * STA # D7: 6 # I4: 2,9 + C9: 3,5 + B6: 7 * CNT 2 HDP CHAINS / 36 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
12868;kz0;GP;23;11.40;11.40;10.10
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D7,D9: 6..:
* INC # D7: 6 # I4: 2,9 => UNS * INC # D7: 6 # I4: 5,6,8 => UNS * INC # D7: 6 # G3: 2,9 => UNS * INC # D7: 6 # G3: 1,3,4 => UNS * INC # D7: 6 # H6: 4,9 => UNS * INC # D7: 6 # H6: 5,6,8 => UNS * INC # D7: 6 # F6: 4,9 => UNS * INC # D7: 6 # F6: 3,5,8 => UNS * INC # D7: 6 # G3: 4,9 => UNS * INC # D7: 6 # G3: 1,2,3 => UNS * INC # D7: 6 # G8: 1,9 => UNS * INC # D7: 6 # G8: 8 => UNS * INC # D7: 6 # B7: 1,9 => UNS * INC # D7: 6 # B7: 2,3 => UNS * INC # D7: 6 # H3: 1,9 => UNS * INC # D7: 6 # H3: 4,5,8 => UNS * INC # D7: 6 # G9: 3,9 => UNS * INC # D7: 6 # G9: 8 => UNS * INC # D7: 6 # B7: 3,9 => UNS * INC # D7: 6 # B7: 1,2 => UNS * INC # D7: 6 # I3: 3,9 => UNS * INC # D7: 6 # I3: 2,5,8 => UNS * INC # D7: 6 # A8: 6,7 => UNS * INC # D7: 6 # B8: 6,7 => UNS * INC # D7: 6 # A9: 6,7 => UNS * INC # D7: 6 # B9: 6,7 => UNS * INC # D7: 6 => UNS * INC # D9: 6 # F7: 4,9 => UNS * INC # D9: 6 # F7: 2 => UNS * INC # D9: 6 => UNS * CNT 30 HDP CHAINS / 30 HYP OPENED
Full list of HDP chains traversed for D4,F6: 9..:
* INC # F6: 9 # H5: 4,8 => UNS * INC # F6: 9 # H6: 4,8 => UNS * INC # F6: 9 # E6: 4,8 => UNS * INC # F6: 9 # E6: 3,5 => UNS * DIS # F6: 9 # G2: 4,8 => CTR => G2: 1,2,3 * INC # F6: 9 + G2: 1,2,3 # G3: 4,8 => UNS * INC # F6: 9 + G2: 1,2,3 # G3: 4,8 => UNS * INC # F6: 9 + G2: 1,2,3 # G3: 1,2,3,9 => UNS * INC # F6: 9 + G2: 1,2,3 # H5: 4,8 => UNS * INC # F6: 9 + G2: 1,2,3 # H6: 4,8 => UNS * INC # F6: 9 + G2: 1,2,3 # E6: 4,8 => UNS * INC # F6: 9 + G2: 1,2,3 # E6: 3,5 => UNS * INC # F6: 9 + G2: 1,2,3 # G3: 4,8 => UNS * INC # F6: 9 + G2: 1,2,3 # G3: 1,2,3,9 => UNS * INC # F6: 9 + G2: 1,2,3 # B7: 6,9 => UNS * INC # F6: 9 + G2: 1,2,3 # H7: 6,9 => UNS * INC # F6: 9 + G2: 1,2,3 # I7: 6,9 => UNS * INC # F6: 9 + G2: 1,2,3 # A7: 2,4 => UNS * INC # F6: 9 + G2: 1,2,3 # A7: 1,3,6 => UNS * INC # F6: 9 + G2: 1,2,3 # F1: 2,4 => UNS * INC # F6: 9 + G2: 1,2,3 # F2: 2,4 => UNS * INC # F6: 9 + G2: 1,2,3 # B9: 6,9 => UNS * INC # F6: 9 + G2: 1,2,3 # I9: 6,9 => UNS * INC # F6: 9 + G2: 1,2,3 # H5: 4,8 => UNS * INC # F6: 9 + G2: 1,2,3 # H6: 4,8 => UNS * INC # F6: 9 + G2: 1,2,3 # E6: 4,8 => UNS * INC # F6: 9 + G2: 1,2,3 # E6: 3,5 => UNS * INC # F6: 9 + G2: 1,2,3 # G3: 4,8 => UNS * INC # F6: 9 + G2: 1,2,3 # G3: 1,2,3,9 => UNS * INC # F6: 9 + G2: 1,2,3 # B7: 6,9 => UNS * INC # F6: 9 + G2: 1,2,3 # H7: 6,9 => UNS * INC # F6: 9 + G2: 1,2,3 # I7: 6,9 => UNS * INC # F6: 9 + G2: 1,2,3 # A7: 2,4 => UNS * INC # F6: 9 + G2: 1,2,3 # A7: 1,3,6 => UNS * INC # F6: 9 + G2: 1,2,3 # F1: 2,4 => UNS * INC # F6: 9 + G2: 1,2,3 # F2: 2,4 => UNS * INC # F6: 9 + G2: 1,2,3 # B9: 6,9 => UNS * INC # F6: 9 + G2: 1,2,3 # I9: 6,9 => UNS * INC # F6: 9 + G2: 1,2,3 => UNS * INC # D4: 9 # I4: 2,8 => UNS * INC # D4: 9 # I5: 2,8 => UNS * INC # D4: 9 # A4: 2,8 => UNS * INC # D4: 9 # A4: 1,6 => UNS * INC # D4: 9 # G2: 2,8 => UNS * INC # D4: 9 # G3: 2,8 => UNS * INC # D4: 9 # D9: 4,6 => UNS * INC # D4: 9 # D9: 5,8 => UNS * INC # D4: 9 # A7: 4,6 => UNS * INC # D4: 9 # A7: 1,2,3 => UNS * INC # D4: 9 => UNS * CNT 50 HDP CHAINS / 50 HYP OPENED
Full list of HDP chains traversed for I4,H6: 6..:
* INC # H6: 6 # B5: 3,5 => UNS * INC # H6: 6 # B6: 3,5 => UNS * INC # H6: 6 # E6: 3,5 => UNS * INC # H6: 6 # F6: 3,5 => UNS * INC # H6: 6 # C9: 3,5 => UNS * INC # H6: 6 # C9: 4 => UNS * INC # H6: 6 # G8: 1,9 => UNS * INC # H6: 6 # H8: 1,9 => UNS * INC # H6: 6 # B7: 1,9 => UNS * INC # H6: 6 # B7: 2,3 => UNS * INC # H6: 6 # H3: 1,9 => UNS * INC # H6: 6 # H3: 4,5,8 => UNS * INC # H6: 6 => UNS * INC # I4: 6 # G9: 3,9 => UNS * INC # I4: 6 # I9: 3,9 => UNS * INC # I4: 6 # B7: 3,9 => UNS * INC # I4: 6 # B7: 1,2,6 => UNS * INC # I4: 6 # I3: 3,9 => UNS * INC # I4: 6 # I3: 2,5,8 => UNS * INC # I4: 6 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for B2,C2: 6..:
* INC # C2: 6 # B5: 3,5 => UNS * DIS # C2: 6 # B6: 3,5 => CTR => B6: 6,7 * INC # C2: 6 + B6: 6,7 # B5: 3,5 => UNS * INC # C2: 6 + B6: 6,7 # B5: 1,2 => UNS * INC # C2: 6 + B6: 6,7 # E6: 3,5 => UNS * INC # C2: 6 + B6: 6,7 # F6: 3,5 => UNS * INC # C2: 6 + B6: 6,7 # C9: 3,5 => UNS * INC # C2: 6 + B6: 6,7 # C9: 4 => UNS * INC # C2: 6 + B6: 6,7 # A6: 6,7 => UNS * INC # C2: 6 + B6: 6,7 # A6: 3,8 => UNS * INC # C2: 6 + B6: 6,7 # B8: 6,7 => UNS * INC # C2: 6 + B6: 6,7 # B9: 6,7 => UNS * INC # C2: 6 + B6: 6,7 # B5: 3,5 => UNS * INC # C2: 6 + B6: 6,7 # B5: 1,2 => UNS * INC # C2: 6 + B6: 6,7 # E6: 3,5 => UNS * INC # C2: 6 + B6: 6,7 # F6: 3,5 => UNS * INC # C2: 6 + B6: 6,7 # C9: 3,5 => UNS * INC # C2: 6 + B6: 6,7 # C9: 4 => UNS * INC # C2: 6 + B6: 6,7 => UNS * INC # B2: 6 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for I2,I9: 7..:
* INC # I2: 7 => UNS * INC # I9: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for H2,H8: 7..:
* INC # H2: 7 => UNS * INC # H8: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for H8,I9: 7..:
* INC # H8: 7 => UNS * INC # I9: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A6,B6: 7..:
* INC # A6: 7 => UNS * INC # B6: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for H2,I2: 7..:
* INC # H2: 7 => UNS * INC # I2: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for D7,D9: 6..:
* INC # D7: 6 # I4: 2,9 => UNS * INC # D7: 6 # I4: 5,6,8 => UNS * INC # D7: 6 # G3: 2,9 => UNS * INC # D7: 6 # G3: 1,3,4 => UNS * INC # D7: 6 # H6: 4,9 => UNS * INC # D7: 6 # H6: 5,6,8 => UNS * INC # D7: 6 # F6: 4,9 => UNS * INC # D7: 6 # F6: 3,5,8 => UNS * INC # D7: 6 # G3: 4,9 => UNS * INC # D7: 6 # G3: 1,2,3 => UNS * INC # D7: 6 # G8: 1,9 => UNS * INC # D7: 6 # G8: 8 => UNS * INC # D7: 6 # B7: 1,9 => UNS * INC # D7: 6 # B7: 2,3 => UNS * INC # D7: 6 # H3: 1,9 => UNS * INC # D7: 6 # H3: 4,5,8 => UNS * INC # D7: 6 # G9: 3,9 => UNS * INC # D7: 6 # G9: 8 => UNS * INC # D7: 6 # B7: 3,9 => UNS * INC # D7: 6 # B7: 1,2 => UNS * INC # D7: 6 # I3: 3,9 => UNS * INC # D7: 6 # I3: 2,5,8 => UNS * INC # D7: 6 # A8: 6,7 => UNS * INC # D7: 6 # B8: 6,7 => UNS * INC # D7: 6 # A9: 6,7 => UNS * INC # D7: 6 # B9: 6,7 => UNS * INC # D7: 6 # I4: 2,9 # B6: 3,5 => UNS * INC # D7: 6 # I4: 2,9 # B6: 7 => UNS * INC # D7: 6 # I4: 2,9 # E6: 3,5 => UNS * INC # D7: 6 # I4: 2,9 # E6: 8 => UNS * INC # D7: 6 # I4: 2,9 # C9: 3,5 => UNS * DIS # D7: 6 # I4: 2,9 # C9: 4 => CTR => C9: 3,5 * INC # D7: 6 # I4: 2,9 + C9: 3,5 # B6: 3,5 => UNS * PRF # D7: 6 # I4: 2,9 + C9: 3,5 # B6: 7 => SOL * STA # D7: 6 # I4: 2,9 + C9: 3,5 + B6: 7 * CNT 34 HDP CHAINS / 36 HYP OPENED