Analysis of xx-ph-00034638-12_05-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....6.7...8......5.....4.....3...85..7.......2..1..68..9......1..2......3..4 initial
Autosolve
position: 98.7.....6.7...8......58....4.....3...85..7.......2..1..68..9......1..2......3..4 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for F7,F8: 5..:
* DIS # F8: 5 # A7: 4,7 => CTR => A7: 1,2,3,5 * DIS # F8: 5 + A7: 1,2,3,5 # E7: 2 => CTR => E7: 4,7 * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 # I3: 6,9 => CTR => I3: 7 * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 + I3: 7 # E6: 3,4 => CTR => E6: 6,7,9 * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 + I3: 7 + E6: 6,7,9 # E5: 6,9 => CTR => E5: 3,4 * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 + I3: 7 + E6: 6,7,9 + E5: 3,4 # I4: 2,5 => CTR => I4: 6,9 * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 + I3: 7 + E6: 6,7,9 + E5: 3,4 + I4: 6,9 # A4: 2,5 => CTR => A4: 7 * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 + I3: 7 + E6: 6,7,9 + E5: 3,4 + I4: 6,9 + A4: 7 => CTR => F8: 4,6,7,9 * STA F8: 4,6,7,9 * CNT 8 HDP CHAINS / 29 HYP OPENED
List of important HDP chains detected for B5,B6: 6..:
* DIS # B5: 6 # H6: 4,9 => CTR => H6: 5,6,8 * DIS # B5: 6 + H6: 5,6,8 # I4: 2,9 => CTR => I4: 5,6,8 * DIS # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # E6: 3,4 => CTR => E6: 6,7,8,9 * CNT 3 HDP CHAINS / 36 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...8......5.....4.....3...85..7.......2..1..68..9......1..2......3..4 | initial |
| 98.7.....6.7...8......58....4.....3...85..7.......2..1..68..9......1..2......3..4 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C1,B2: 5.. / C1 = 5 => 1 pairs (_) / B2 = 5 => 0 pairs (_) F7,F8: 5.. / F7 = 5 => 2 pairs (_) / F8 = 5 => 2 pairs (_) B5,B6: 6.. / B5 = 6 => 2 pairs (_) / B6 = 6 => 1 pairs (_) H3,I3: 7.. / H3 = 7 => 1 pairs (_) / I3 = 7 => 1 pairs (_) E4,E6: 8.. / E4 = 8 => 0 pairs (_) / E6 = 8 => 0 pairs (_) I4,H6: 8.. / I4 = 8 => 0 pairs (_) / H6 = 8 => 0 pairs (_) A8,A9: 8.. / A8 = 8 => 0 pairs (_) / A9 = 8 => 0 pairs (_) I8,H9: 8.. / I8 = 8 => 0 pairs (_) / H9 = 8 => 0 pairs (_) E4,I4: 8.. / E4 = 8 => 0 pairs (_) / I4 = 8 => 0 pairs (_) E6,H6: 8.. / E6 = 8 => 0 pairs (_) / H6 = 8 => 0 pairs (_) A8,I8: 8.. / A8 = 8 => 0 pairs (_) / I8 = 8 => 0 pairs (_) A9,H9: 8.. / A9 = 8 => 0 pairs (_) / H9 = 8 => 0 pairs (_) H6,H9: 8.. / H6 = 8 => 0 pairs (_) / H9 = 8 => 0 pairs (_) I4,I8: 8.. / I4 = 8 => 0 pairs (_) / I8 = 8 => 0 pairs (_) * DURATION: 0:00:08.376933 START: 23:21:31.887100 END: 23:21:40.264033 2020-12-14 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F7,F8: 5.. / F7 = 5 ==> 2 pairs (_) / F8 = 5 ==> 0 pairs (X) B5,B6: 6.. / B5 = 6 ==> 4 pairs (_) / B6 = 6 ==> 1 pairs (_) H3,I3: 7.. / H3 = 7 ==> 1 pairs (_) / I3 = 7 ==> 1 pairs (_) C1,B2: 5.. / C1 = 5 ==> 1 pairs (_) / B2 = 5 ==> 0 pairs (_) I4,I8: 8.. / I4 = 8 ==> 0 pairs (_) / I8 = 8 ==> 0 pairs (_) H6,H9: 8.. / H6 = 8 ==> 0 pairs (_) / H9 = 8 ==> 0 pairs (_) A9,H9: 8.. / A9 = 8 ==> 0 pairs (_) / H9 = 8 ==> 0 pairs (_) A8,I8: 8.. / A8 = 8 ==> 0 pairs (_) / I8 = 8 ==> 0 pairs (_) E6,H6: 8.. / E6 = 8 ==> 0 pairs (_) / H6 = 8 ==> 0 pairs (_) E4,I4: 8.. / E4 = 8 ==> 0 pairs (_) / I4 = 8 ==> 0 pairs (_) I8,H9: 8.. / I8 = 8 ==> 0 pairs (_) / H9 = 8 ==> 0 pairs (_) A8,A9: 8.. / A8 = 8 ==> 0 pairs (_) / A9 = 8 ==> 0 pairs (_) I4,H6: 8.. / I4 = 8 ==> 0 pairs (_) / H6 = 8 ==> 0 pairs (_) E4,E6: 8.. / E4 = 8 ==> 0 pairs (_) / E6 = 8 ==> 0 pairs (_) * DURATION: 0:00:56.435326 START: 23:21:40.264579 END: 23:22:36.699905 2020-12-14 * REASONING F7,F8: 5.. * DIS # F8: 5 # A7: 4,7 => CTR => A7: 1,2,3,5 * DIS # F8: 5 + A7: 1,2,3,5 # E7: 2 => CTR => E7: 4,7 * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 # I3: 6,9 => CTR => I3: 7 * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 + I3: 7 # E6: 3,4 => CTR => E6: 6,7,9 * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 + I3: 7 + E6: 6,7,9 # E5: 6,9 => CTR => E5: 3,4 * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 + I3: 7 + E6: 6,7,9 + E5: 3,4 # I4: 2,5 => CTR => I4: 6,9 * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 + I3: 7 + E6: 6,7,9 + E5: 3,4 + I4: 6,9 # A4: 2,5 => CTR => A4: 7 * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 + I3: 7 + E6: 6,7,9 + E5: 3,4 + I4: 6,9 + A4: 7 => CTR => F8: 4,6,7,9 * STA F8: 4,6,7,9 * CNT 8 HDP CHAINS / 29 HYP OPENED * REASONING B5,B6: 6.. * DIS # B5: 6 # H6: 4,9 => CTR => H6: 5,6,8 * DIS # B5: 6 + H6: 5,6,8 # I4: 2,9 => CTR => I4: 5,6,8 * DIS # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # E6: 3,4 => CTR => E6: 6,7,8,9 * CNT 3 HDP CHAINS / 36 HYP OPENED * DCP COUNT: (14) * CLUE FOUND
Header Info
34638;12_05;GP;21;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F7,F8: 5..:
* INC # F7: 5 # H9: 1,7 => UNS * INC # F7: 5 # H9: 5,6,8 => UNS * INC # F7: 5 # A7: 1,7 => UNS * INC # F7: 5 # B7: 1,7 => UNS * INC # F7: 5 # H3: 1,7 => UNS * INC # F7: 5 # H3: 4,6,9 => UNS * INC # F7: 5 # I8: 3,7 => UNS * INC # F7: 5 # I8: 5,6,8 => UNS * INC # F7: 5 # A7: 3,7 => UNS * INC # F7: 5 # B7: 3,7 => UNS * INC # F7: 5 # I3: 3,7 => UNS * INC # F7: 5 # I3: 2,6,9 => UNS * INC # F7: 5 => UNS * INC # F8: 5 # E7: 4,7 => UNS * INC # F8: 5 # E7: 2 => UNS * DIS # F8: 5 # A7: 4,7 => CTR => A7: 1,2,3,5 * INC # F8: 5 + A7: 1,2,3,5 # E7: 4,7 => UNS * DIS # F8: 5 + A7: 1,2,3,5 # E7: 2 => CTR => E7: 4,7 * INC # F8: 5 + A7: 1,2,3,5 + E7: 4,7 # E1: 3,4 => UNS * INC # F8: 5 + A7: 1,2,3,5 + E7: 4,7 # E2: 3,4 => UNS * INC # F8: 5 + A7: 1,2,3,5 + E7: 4,7 # H3: 6,9 => UNS * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 # I3: 6,9 => CTR => I3: 7 * INC # F8: 5 + A7: 1,2,3,5 + E7: 4,7 + I3: 7 # E5: 3,4 => UNS * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 + I3: 7 # E6: 3,4 => CTR => E6: 6,7,9 * INC # F8: 5 + A7: 1,2,3,5 + E7: 4,7 + I3: 7 + E6: 6,7,9 # E5: 3,4 => UNS * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 + I3: 7 + E6: 6,7,9 # E5: 6,9 => CTR => E5: 3,4 * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 + I3: 7 + E6: 6,7,9 + E5: 3,4 # I4: 2,5 => CTR => I4: 6,9 * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 + I3: 7 + E6: 6,7,9 + E5: 3,4 + I4: 6,9 # A4: 2,5 => CTR => A4: 7 * DIS # F8: 5 + A7: 1,2,3,5 + E7: 4,7 + I3: 7 + E6: 6,7,9 + E5: 3,4 + I4: 6,9 + A4: 7 => CTR => F8: 4,6,7,9 * STA F8: 4,6,7,9 * CNT 29 HDP CHAINS / 29 HYP OPENED
Full list of HDP chains traversed for B5,B6: 6..:
* DIS # B5: 6 # H6: 4,9 => CTR => H6: 5,6,8 * INC # B5: 6 + H6: 5,6,8 # E5: 4,9 => UNS * INC # B5: 6 + H6: 5,6,8 # F5: 4,9 => UNS * INC # B5: 6 + H6: 5,6,8 # H2: 4,9 => UNS * INC # B5: 6 + H6: 5,6,8 # H3: 4,9 => UNS * DIS # B5: 6 + H6: 5,6,8 # I4: 2,9 => CTR => I4: 5,6,8 * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # I2: 2,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # I3: 2,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # D6: 3,4 => UNS * DIS # B5: 6 + H6: 5,6,8 + I4: 5,6,8 # E6: 3,4 => CTR => E6: 6,7,8,9 * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # D6: 3,4 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # D6: 6,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # E1: 3,4 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # E2: 3,4 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # F1: 1,4 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # F2: 1,4 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # H2: 4,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # H3: 4,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # I2: 2,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # I3: 2,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # D6: 3,4 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # D6: 6,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # E1: 3,4 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # E2: 3,4 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # F1: 1,4 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # F2: 1,4 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # H2: 4,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # H3: 4,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # I2: 2,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 # I3: 2,9 => UNS * INC # B5: 6 + H6: 5,6,8 + I4: 5,6,8 + E6: 6,7,8,9 => UNS * INC # B6: 6 # H6: 4,5 => UNS * INC # B6: 6 # H6: 8,9 => UNS * INC # B6: 6 # G1: 4,5 => UNS * INC # B6: 6 # G1: 1,2,3,6 => UNS * INC # B6: 6 => UNS * CNT 36 HDP CHAINS / 36 HYP OPENED
Full list of HDP chains traversed for H3,I3: 7..:
* INC # H3: 7 # G9: 1,5 => UNS * INC # H3: 7 # H9: 1,5 => UNS * INC # H3: 7 # A7: 1,5 => UNS * INC # H3: 7 # B7: 1,5 => UNS * INC # H3: 7 # H1: 1,5 => UNS * INC # H3: 7 # H2: 1,5 => UNS * INC # H3: 7 => UNS * INC # I3: 7 # G8: 3,5 => UNS * INC # I3: 7 # I8: 3,5 => UNS * INC # I3: 7 # A7: 3,5 => UNS * INC # I3: 7 # B7: 3,5 => UNS * INC # I3: 7 # I1: 3,5 => UNS * INC # I3: 7 # I2: 3,5 => UNS * INC # I3: 7 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for C1,B2: 5..:
* INC # C1: 5 # B5: 3,9 => UNS * INC # C1: 5 # B6: 3,9 => UNS * INC # C1: 5 # D6: 3,9 => UNS * INC # C1: 5 # E6: 3,9 => UNS * INC # C1: 5 # C8: 3,9 => UNS * INC # C1: 5 # C8: 4 => UNS * INC # C1: 5 => UNS * INC # B2: 5 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for I4,I8: 8..:
* INC # I4: 8 => UNS * INC # I8: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for H6,H9: 8..:
* INC # H6: 8 => UNS * INC # H9: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A9,H9: 8..:
* INC # A9: 8 => UNS * INC # H9: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A8,I8: 8..:
* INC # A8: 8 => UNS * INC # I8: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E6,H6: 8..:
* INC # E6: 8 => UNS * INC # H6: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E4,I4: 8..:
* INC # E4: 8 => UNS * INC # I4: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for I8,H9: 8..:
* INC # I8: 8 => UNS * INC # H9: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A8,A9: 8..:
* INC # A8: 8 => UNS * INC # A9: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for I4,H6: 8..:
* INC # I4: 8 => UNS * INC # H6: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E4,E6: 8..:
* INC # E4: 8 => UNS * INC # E6: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED