Analysis of xx-ph-01627739-14_09-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..76..5......4..6.878..6..3...4...8.9.....2.1..4....7.69.9......1.......3. initial
Autosolve
position: 98.7..6..76.85......4..6.878..6..3...4...8.96....2.1.84....7.69.9......1.......3. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000019
List of important HDP chains detected for E4,E5: 7..:
* DIS # E5: 7 # G8: 2,5 => CTR => G8: 4,7,8 * CNT 1 HDP CHAINS / 31 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:42.886299
List of important HDP chains detected for F2,G2: 9..:
* DIS # F2: 9 # E1: 1,3 # E9: 6 => CTR => E9: 4,9 * DIS # F2: 9 # E1: 1,3 + E9: 4,9 # D5: 1,5 => CTR => D5: 3 * DIS # F2: 9 # E1: 1,3 + E9: 4,9 + D5: 3 # D9: 4,9 => CTR => D9: 1,5 * DIS # F2: 9 # E1: 1,3 + E9: 4,9 + D5: 3 + D9: 1,5 # A5: 2,5 => CTR => A5: 1 * DIS # F2: 9 # E1: 1,3 + E9: 4,9 + D5: 3 + D9: 1,5 + A5: 1 => CTR => E1: 4 * DIS # F2: 9 + E1: 4 # D3: 1,3 # A5: 2,5 => CTR => A5: 1,3 * PRF # F2: 9 + E1: 4 # D3: 1,3 + A5: 1,3 # A8: 2,5 => SOL * STA # F2: 9 + E1: 4 # D3: 1,3 + A5: 1,3 + A8: 2,5 * CNT 7 HDP CHAINS / 56 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..76..5......4..6.878..6..3...4...8.9.....2.1..4....7.69.9......1.......3. | initial |
| 98.7..6..76.85......4..6.878..6..3...4...8.96....2.1.84....7.69.9......1.......3. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H1,H2: 1.. / H1 = 1 => 2 pairs (_) / H2 = 1 => 1 pairs (_) I1,I2: 3.. / I1 = 3 => 2 pairs (_) / I2 = 3 => 1 pairs (_) A6,C6: 6.. / A6 = 6 => 0 pairs (_) / C6 = 6 => 1 pairs (_) E8,E9: 6.. / E8 = 6 => 0 pairs (_) / E9 = 6 => 0 pairs (_) E4,E5: 7.. / E4 = 7 => 1 pairs (_) / E5 = 7 => 1 pairs (_) G2,G3: 9.. / G2 = 9 => 2 pairs (_) / G3 = 9 => 2 pairs (_) C4,C6: 9.. / C4 = 9 => 0 pairs (_) / C6 = 9 => 0 pairs (_) F2,G2: 9.. / F2 = 9 => 2 pairs (_) / G2 = 9 => 2 pairs (_) * DURATION: 0:00:05.282849 START: 20:34:10.139129 END: 20:34:15.421978 2020-10-05 * CP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F2,G2: 9.. / F2 = 9 ==> 2 pairs (_) / G2 = 9 ==> 2 pairs (_) G2,G3: 9.. / G2 = 9 ==> 2 pairs (_) / G3 = 9 ==> 2 pairs (_) I1,I2: 3.. / I1 = 3 ==> 2 pairs (_) / I2 = 3 ==> 1 pairs (_) H1,H2: 1.. / H1 = 1 ==> 2 pairs (_) / H2 = 1 ==> 1 pairs (_) E4,E5: 7.. / E4 = 7 ==> 1 pairs (_) / E5 = 7 ==> 1 pairs (_) A6,C6: 6.. / A6 = 6 ==> 0 pairs (_) / C6 = 6 ==> 1 pairs (_) C4,C6: 9.. / C4 = 9 ==> 0 pairs (_) / C6 = 9 ==> 0 pairs (_) E8,E9: 6.. / E8 = 6 ==> 0 pairs (_) / E9 = 6 ==> 0 pairs (_) * DURATION: 0:01:18.516166 START: 20:34:15.423200 END: 20:35:33.939366 2020-10-05 * REASONING E4,E5: 7.. * DIS # E5: 7 # G8: 2,5 => CTR => G8: 4,7,8 * CNT 1 HDP CHAINS / 31 HYP OPENED * DCP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) F2,G2: 9.. / F2 = 9 ==> 0 pairs (*) / G2 = 9 => 0 pairs (X) * DURATION: 0:00:42.885091 START: 20:35:34.030263 END: 20:36:16.915354 2020-10-05 * REASONING F2,G2: 9.. * DIS # F2: 9 # E1: 1,3 # E9: 6 => CTR => E9: 4,9 * DIS # F2: 9 # E1: 1,3 + E9: 4,9 # D5: 1,5 => CTR => D5: 3 * DIS # F2: 9 # E1: 1,3 + E9: 4,9 + D5: 3 # D9: 4,9 => CTR => D9: 1,5 * DIS # F2: 9 # E1: 1,3 + E9: 4,9 + D5: 3 + D9: 1,5 # A5: 2,5 => CTR => A5: 1 * DIS # F2: 9 # E1: 1,3 + E9: 4,9 + D5: 3 + D9: 1,5 + A5: 1 => CTR => E1: 4 * DIS # F2: 9 + E1: 4 # D3: 1,3 # A5: 2,5 => CTR => A5: 1,3 * PRF # F2: 9 + E1: 4 # D3: 1,3 + A5: 1,3 # A8: 2,5 => SOL * STA # F2: 9 + E1: 4 # D3: 1,3 + A5: 1,3 + A8: 2,5 * CNT 7 HDP CHAINS / 56 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
1627739;14_09;GP;26;11.50;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F2,G2: 9..:
* INC # F2: 9 # E1: 1,3 => UNS * INC # F2: 9 # F1: 1,3 => UNS * INC # F2: 9 # D3: 1,3 => UNS * INC # F2: 9 # A3: 1,3 => UNS * INC # F2: 9 # B3: 1,3 => UNS * INC # F2: 9 # E5: 1,3 => UNS * INC # F2: 9 # E7: 1,3 => UNS * INC # F2: 9 # H2: 2,4 => UNS * INC # F2: 9 # I2: 2,4 => UNS * INC # F2: 9 # G8: 2,4 => UNS * INC # F2: 9 # G9: 2,4 => UNS * INC # F2: 9 => UNS * INC # G2: 9 # H1: 2,5 => UNS * INC # G2: 9 # I1: 2,5 => UNS * INC # G2: 9 # A3: 2,5 => UNS * INC # G2: 9 # B3: 2,5 => UNS * INC # G2: 9 # G5: 2,5 => UNS * INC # G2: 9 # G7: 2,5 => UNS * INC # G2: 9 # G8: 2,5 => UNS * INC # G2: 9 # G9: 2,5 => UNS * INC # G2: 9 # G7: 2,5 => UNS * INC # G2: 9 # G8: 2,5 => UNS * INC # G2: 9 # H8: 2,5 => UNS * INC # G2: 9 # G9: 2,5 => UNS * INC # G2: 9 # A9: 2,5 => UNS * INC # G2: 9 # B9: 2,5 => UNS * INC # G2: 9 # C9: 2,5 => UNS * INC # G2: 9 # D9: 2,5 => UNS * INC # G2: 9 # F9: 2,5 => UNS * INC # G2: 9 # I1: 2,5 => UNS * INC # G2: 9 # I4: 2,5 => UNS * INC # G2: 9 => UNS * CNT 32 HDP CHAINS / 32 HYP OPENED
Full list of HDP chains traversed for G2,G3: 9..:
* INC # G2: 9 # H1: 2,5 => UNS * INC # G2: 9 # I1: 2,5 => UNS * INC # G2: 9 # A3: 2,5 => UNS * INC # G2: 9 # B3: 2,5 => UNS * INC # G2: 9 # G5: 2,5 => UNS * INC # G2: 9 # G7: 2,5 => UNS * INC # G2: 9 # G8: 2,5 => UNS * INC # G2: 9 # G9: 2,5 => UNS * INC # G2: 9 # G7: 2,5 => UNS * INC # G2: 9 # G8: 2,5 => UNS * INC # G2: 9 # H8: 2,5 => UNS * INC # G2: 9 # G9: 2,5 => UNS * INC # G2: 9 # A9: 2,5 => UNS * INC # G2: 9 # B9: 2,5 => UNS * INC # G2: 9 # C9: 2,5 => UNS * INC # G2: 9 # D9: 2,5 => UNS * INC # G2: 9 # F9: 2,5 => UNS * INC # G2: 9 # I1: 2,5 => UNS * INC # G2: 9 # I4: 2,5 => UNS * INC # G2: 9 => UNS * INC # G3: 9 # E1: 1,3 => UNS * INC # G3: 9 # F1: 1,3 => UNS * INC # G3: 9 # D3: 1,3 => UNS * INC # G3: 9 # A3: 1,3 => UNS * INC # G3: 9 # B3: 1,3 => UNS * INC # G3: 9 # E5: 1,3 => UNS * INC # G3: 9 # E7: 1,3 => UNS * INC # G3: 9 # H2: 2,4 => UNS * INC # G3: 9 # I2: 2,4 => UNS * INC # G3: 9 # G8: 2,4 => UNS * INC # G3: 9 # G9: 2,4 => UNS * INC # G3: 9 => UNS * CNT 32 HDP CHAINS / 32 HYP OPENED
Full list of HDP chains traversed for I1,I2: 3..:
* INC # I1: 3 # F1: 1,4 => UNS * INC # I1: 3 # F2: 1,4 => UNS * INC # I1: 3 # H1: 1,4 => UNS * INC # I1: 3 # H1: 2,5 => UNS * INC # I1: 3 # E4: 1,4 => UNS * INC # I1: 3 # E9: 1,4 => UNS * INC # I1: 3 # H1: 2,4 => UNS * INC # I1: 3 # G2: 2,4 => UNS * INC # I1: 3 # H2: 2,4 => UNS * INC # I1: 3 # F2: 2,4 => UNS * INC # I1: 3 # F2: 1,3,9 => UNS * INC # I1: 3 # I4: 2,4 => UNS * INC # I1: 3 # I9: 2,4 => UNS * INC # I1: 3 => UNS * INC # I2: 3 # C1: 1,2 => UNS * INC # I2: 3 # A3: 1,2 => UNS * INC # I2: 3 # B3: 1,2 => UNS * INC # I2: 3 # F2: 1,2 => UNS * INC # I2: 3 # H2: 1,2 => UNS * INC # I2: 3 # C4: 1,2 => UNS * INC # I2: 3 # C5: 1,2 => UNS * INC # I2: 3 # C7: 1,2 => UNS * INC # I2: 3 # C9: 1,2 => UNS * INC # I2: 3 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for H1,H2: 1..:
* INC # H1: 1 # F1: 3,4 => UNS * INC # H1: 1 # F2: 3,4 => UNS * INC # H1: 1 # I1: 3,4 => UNS * INC # H1: 1 # I1: 2,5 => UNS * INC # H1: 1 # E8: 3,4 => UNS * INC # H1: 1 # E8: 6,8 => UNS * INC # H1: 1 # I1: 2,4 => UNS * INC # H1: 1 # G2: 2,4 => UNS * INC # H1: 1 # I2: 2,4 => UNS * INC # H1: 1 # F2: 2,4 => UNS * INC # H1: 1 # F2: 1,3,9 => UNS * INC # H1: 1 # H4: 2,4 => UNS * INC # H1: 1 # H8: 2,4 => UNS * INC # H1: 1 => UNS * INC # H2: 1 # C1: 2,3 => UNS * INC # H2: 1 # A3: 2,3 => UNS * INC # H2: 1 # B3: 2,3 => UNS * INC # H2: 1 # F2: 2,3 => UNS * INC # H2: 1 # I2: 2,3 => UNS * INC # H2: 1 # C5: 2,3 => UNS * INC # H2: 1 # C7: 2,3 => UNS * INC # H2: 1 # C8: 2,3 => UNS * INC # H2: 1 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for E4,E5: 7..:
* INC # E4: 7 # D5: 1,3 => UNS * INC # E4: 7 # D5: 5 => UNS * INC # E4: 7 # A5: 1,3 => UNS * INC # E4: 7 # C5: 1,3 => UNS * INC # E4: 7 # E1: 1,3 => UNS * INC # E4: 7 # E3: 1,3 => UNS * INC # E4: 7 # E7: 1,3 => UNS * INC # E4: 7 => UNS * INC # E5: 7 # H4: 2,5 => UNS * INC # E5: 7 # I4: 2,5 => UNS * INC # E5: 7 # A5: 2,5 => UNS * INC # E5: 7 # C5: 2,5 => UNS * INC # E5: 7 # G3: 2,5 => UNS * INC # E5: 7 # G7: 2,5 => UNS * DIS # E5: 7 # G8: 2,5 => CTR => G8: 4,7,8 * INC # E5: 7 + G8: 4,7,8 # G9: 2,5 => UNS * INC # E5: 7 + G8: 4,7,8 # H4: 2,5 => UNS * INC # E5: 7 + G8: 4,7,8 # I4: 2,5 => UNS * INC # E5: 7 + G8: 4,7,8 # A5: 2,5 => UNS * INC # E5: 7 + G8: 4,7,8 # C5: 2,5 => UNS * INC # E5: 7 + G8: 4,7,8 # G3: 2,5 => UNS * INC # E5: 7 + G8: 4,7,8 # G7: 2,5 => UNS * INC # E5: 7 + G8: 4,7,8 # G9: 2,5 => UNS * INC # E5: 7 + G8: 4,7,8 # H4: 2,5 => UNS * INC # E5: 7 + G8: 4,7,8 # I4: 2,5 => UNS * INC # E5: 7 + G8: 4,7,8 # A5: 2,5 => UNS * INC # E5: 7 + G8: 4,7,8 # C5: 2,5 => UNS * INC # E5: 7 + G8: 4,7,8 # G3: 2,5 => UNS * INC # E5: 7 + G8: 4,7,8 # G7: 2,5 => UNS * INC # E5: 7 + G8: 4,7,8 # G9: 2,5 => UNS * INC # E5: 7 + G8: 4,7,8 => UNS * CNT 31 HDP CHAINS / 31 HYP OPENED
Full list of HDP chains traversed for A6,C6: 6..:
* INC # C6: 6 # A5: 3,5 => UNS * INC # C6: 6 # C5: 3,5 => UNS * INC # C6: 6 # B6: 3,5 => UNS * INC # C6: 6 # D6: 3,5 => UNS * INC # C6: 6 # F6: 3,5 => UNS * INC # C6: 6 # A3: 3,5 => UNS * INC # C6: 6 # A8: 3,5 => UNS * INC # C6: 6 => UNS * INC # A6: 6 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for C4,C6: 9..:
* INC # C4: 9 => UNS * INC # C6: 9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E8,E9: 6..:
* INC # E8: 6 => UNS * INC # E9: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for F2,G2: 9..:
* INC # F2: 9 # E1: 1,3 => UNS * INC # F2: 9 # F1: 1,3 => UNS * INC # F2: 9 # D3: 1,3 => UNS * INC # F2: 9 # A3: 1,3 => UNS * INC # F2: 9 # B3: 1,3 => UNS * INC # F2: 9 # E5: 1,3 => UNS * INC # F2: 9 # E7: 1,3 => UNS * INC # F2: 9 # H2: 2,4 => UNS * INC # F2: 9 # I2: 2,4 => UNS * INC # F2: 9 # G8: 2,4 => UNS * INC # F2: 9 # G9: 2,4 => UNS * INC # F2: 9 # E1: 1,3 # C1: 1,3 => UNS * INC # F2: 9 # E1: 1,3 # C1: 2 => UNS * INC # F2: 9 # E1: 1,3 # A3: 1,3 => UNS * INC # F2: 9 # E1: 1,3 # B3: 1,3 => UNS * INC # F2: 9 # E1: 1,3 # H1: 1,2 => UNS * INC # F2: 9 # E1: 1,3 # H1: 5 => UNS * INC # F2: 9 # E1: 1,3 # C2: 1,2 => UNS * INC # F2: 9 # E1: 1,3 # C2: 3 => UNS * INC # F2: 9 # E1: 1,3 # I1: 2,3 => UNS * INC # F2: 9 # E1: 1,3 # I1: 5 => UNS * INC # F2: 9 # E1: 1,3 # C2: 2,3 => UNS * INC # F2: 9 # E1: 1,3 # C2: 1 => UNS * INC # F2: 9 # E1: 1,3 # C6: 7,9 => UNS * INC # F2: 9 # E1: 1,3 # C6: 6 => UNS * INC # F2: 9 # E1: 1,3 # E9: 4,9 => UNS * DIS # F2: 9 # E1: 1,3 # E9: 6 => CTR => E9: 4,9 * DIS # F2: 9 # E1: 1,3 + E9: 4,9 # D5: 1,5 => CTR => D5: 3 * DIS # F2: 9 # E1: 1,3 + E9: 4,9 + D5: 3 # D9: 4,9 => CTR => D9: 1,5 * DIS # F2: 9 # E1: 1,3 + E9: 4,9 + D5: 3 + D9: 1,5 # A5: 2,5 => CTR => A5: 1 * DIS # F2: 9 # E1: 1,3 + E9: 4,9 + D5: 3 + D9: 1,5 + A5: 1 => CTR => E1: 4 * INC # F2: 9 + E1: 4 # F1: 1,3 => UNS * INC # F2: 9 + E1: 4 # D3: 1,3 => UNS * INC # F2: 9 + E1: 4 # A3: 1,3 => UNS * INC # F2: 9 + E1: 4 # B3: 1,3 => UNS * INC # F2: 9 + E1: 4 # E5: 1,3 => UNS * INC # F2: 9 + E1: 4 # E7: 1,3 => UNS * INC # F2: 9 + E1: 4 # H2: 2,4 => UNS * INC # F2: 9 + E1: 4 # I2: 2,4 => UNS * INC # F2: 9 + E1: 4 # G8: 2,4 => UNS * INC # F2: 9 + E1: 4 # G9: 2,4 => UNS * INC # F2: 9 + E1: 4 # F1: 1,3 # C1: 1,3 => UNS * INC # F2: 9 + E1: 4 # F1: 1,3 # C1: 2 => UNS * INC # F2: 9 + E1: 4 # F1: 1,3 # A3: 1,3 => UNS * INC # F2: 9 + E1: 4 # F1: 1,3 # B3: 1,3 => UNS * INC # F2: 9 + E1: 4 # F1: 1,3 # E5: 1,3 => UNS * INC # F2: 9 + E1: 4 # F1: 1,3 # E7: 1,3 => UNS * INC # F2: 9 + E1: 4 # F1: 1,3 # H2: 2,4 => UNS * INC # F2: 9 + E1: 4 # F1: 1,3 # I2: 2,4 => UNS * INC # F2: 9 + E1: 4 # F1: 1,3 # G8: 2,4 => UNS * INC # F2: 9 + E1: 4 # F1: 1,3 # G9: 2,4 => UNS * INC # F2: 9 + E1: 4 # F1: 1,3 => UNS * DIS # F2: 9 + E1: 4 # D3: 1,3 # A5: 2,5 => CTR => A5: 1,3 * PRF # F2: 9 + E1: 4 # D3: 1,3 + A5: 1,3 # A8: 2,5 => SOL * STA # F2: 9 + E1: 4 # D3: 1,3 + A5: 1,3 + A8: 2,5 * CNT 54 HDP CHAINS / 56 HYP OPENED