Analysis of xx-ph-00014335-kz1a-base.sdk
Original Sudoku
level: deep
position: 98.7.....6.....7....7.95....7..4..3..2...1.....98..5....89..6......2...4.....3.1. initial
Autosolve
position: 98.7.....6.....7....7.95....7..49.3..2...1.....98..5....89..6......2...4.....3.1. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:09.787737
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000017
List of important HDP chains detected for D4,F6: 2..:
* DIS # F6: 2 # D5: 5,6 => CTR => D5: 3 * CNT 1 HDP CHAINS / 54 HYP OPENED
List of important HDP chains detected for F7,D9: 4..:
* DIS # D9: 4 # I9: 2,5 => CTR => I9: 7,8,9 * CNT 1 HDP CHAINS / 52 HYP OPENED
List of important HDP chains detected for E7,D8: 1..:
* PRF # E7: 1 # D5: 5,6 => SOL * STA # E7: 1 + D5: 5,6 * CNT 1 HDP CHAINS / 15 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....7.95....7..4..3..2...1.....98..5....89..6......2...4.....3.1. | initial |
| 98.7.....6.....7....7.95....7..49.3..2...1.....98..5....89..6......2...4.....3.1. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) F7: 4,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E7,D8: 1.. / E7 = 1 => 4 pairs (_) / D8 = 1 => 2 pairs (_) D4,F6: 2.. / D4 = 2 => 3 pairs (_) / F6 = 2 => 5 pairs (_) I7,G8: 3.. / I7 = 3 => 2 pairs (_) / G8 = 3 => 1 pairs (_) F7,D9: 4.. / F7 = 4 => 3 pairs (_) / D9 = 4 => 4 pairs (_) E2,F2: 8.. / E2 = 8 => 3 pairs (_) / F2 = 8 => 4 pairs (_) A4,A5: 8.. / A4 = 8 => 2 pairs (_) / A5 = 8 => 3 pairs (_) F8,E9: 8.. / F8 = 8 => 3 pairs (_) / E9 = 8 => 4 pairs (_) E2,E9: 8.. / E2 = 8 => 3 pairs (_) / E9 = 8 => 4 pairs (_) F2,F8: 8.. / F2 = 8 => 4 pairs (_) / F8 = 8 => 3 pairs (_) H2,I2: 9.. / H2 = 9 => 1 pairs (_) / I2 = 9 => 1 pairs (_) B8,B9: 9.. / B8 = 9 => 2 pairs (_) / B9 = 9 => 2 pairs (_) * DURATION: 0:00:07.892174 START: 00:09:50.695234 END: 00:09:58.587408 2020-12-03 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D4,F6: 2.. / D4 = 2 ==> 3 pairs (_) / F6 = 2 ==> 6 pairs (_) F2,F8: 8.. / F2 = 8 ==> 4 pairs (_) / F8 = 8 ==> 3 pairs (_) E2,E9: 8.. / E2 = 8 ==> 3 pairs (_) / E9 = 8 ==> 4 pairs (_) F8,E9: 8.. / F8 = 8 ==> 3 pairs (_) / E9 = 8 ==> 4 pairs (_) E2,F2: 8.. / E2 = 8 ==> 3 pairs (_) / F2 = 8 ==> 4 pairs (_) F7,D9: 4.. / F7 = 4 ==> 3 pairs (_) / D9 = 4 ==> 4 pairs (_) E7,D8: 1.. / E7 = 1 ==> 0 pairs (*) / D8 = 1 => 0 pairs (X) * DURATION: 0:01:54.452150 START: 00:10:10.574764 END: 00:12:05.026914 2020-12-03 * REASONING D4,F6: 2.. * DIS # F6: 2 # D5: 5,6 => CTR => D5: 3 * CNT 1 HDP CHAINS / 54 HYP OPENED * REASONING F7,D9: 4.. * DIS # D9: 4 # I9: 2,5 => CTR => I9: 7,8,9 * CNT 1 HDP CHAINS / 52 HYP OPENED * REASONING E7,D8: 1.. * PRF # E7: 1 # D5: 5,6 => SOL * STA # E7: 1 + D5: 5,6 * CNT 1 HDP CHAINS / 15 HYP OPENED * DCP COUNT: (7) * SOLUTION FOUND
Header Info
14335;kz1a;GP;23;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # A7: 4,7 => UNS * INC # A7: 1,2,3,5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A7: 4,7 => UNS * INC # A7: 1,2,3,5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A7: 4,7 => UNS * INC # A7: 1,2,3,5 => UNS * INC # A7: 4,7 # A9: 4,7 => UNS * INC # A7: 4,7 # A9: 2,5 => UNS * INC # A7: 4,7 # D8: 1,5 => UNS * INC # A7: 4,7 # D8: 6 => UNS * INC # A7: 4,7 # B7: 1,5 => UNS * INC # A7: 4,7 # B7: 3 => UNS * INC # A7: 4,7 # I7: 2,5 => UNS * INC # A7: 4,7 # I7: 3 => UNS * INC # A7: 4,7 # H1: 2,5 => UNS * INC # A7: 4,7 # H2: 2,5 => UNS * INC # A7: 4,7 # G8: 8,9 => UNS * INC # A7: 4,7 # H8: 8,9 => UNS * INC # A7: 4,7 # I9: 8,9 => UNS * INC # A7: 4,7 # G5: 8,9 => UNS * INC # A7: 4,7 # G5: 4 => UNS * INC # A7: 4,7 => UNS * INC # A7: 1,2,3,5 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D4,F6: 2..:
* INC # F6: 2 # D3: 4,6 => UNS * INC # F6: 2 # D3: 1,2,3 => UNS * INC # F6: 2 # H1: 4,6 => UNS * INC # F6: 2 # H1: 2,5 => UNS * DIS # F6: 2 # D5: 5,6 => CTR => D5: 3 * INC # F6: 2 + D5: 3 # E5: 5,6 => UNS * INC # F6: 2 + D5: 3 # E5: 5,6 => UNS * INC # F6: 2 + D5: 3 # E5: 7 => UNS * INC # F6: 2 + D5: 3 # C4: 5,6 => UNS * INC # F6: 2 + D5: 3 # C4: 1 => UNS * INC # F6: 2 + D5: 3 # D8: 5,6 => UNS * INC # F6: 2 + D5: 3 # D9: 5,6 => UNS * INC # F6: 2 + D5: 3 # D8: 1,5 => UNS * INC # F6: 2 + D5: 3 # D8: 6 => UNS * INC # F6: 2 + D5: 3 # A7: 1,5 => UNS * INC # F6: 2 + D5: 3 # B7: 1,5 => UNS * INC # F6: 2 + D5: 3 # A7: 4,7 => UNS * INC # F6: 2 + D5: 3 # A7: 1,2,3,5 => UNS * INC # F6: 2 + D5: 3 # D3: 4,6 => UNS * INC # F6: 2 + D5: 3 # D3: 1,2 => UNS * INC # F6: 2 + D5: 3 # H1: 4,6 => UNS * INC # F6: 2 + D5: 3 # H1: 2,5 => UNS * INC # F6: 2 + D5: 3 # E5: 5,6 => UNS * INC # F6: 2 + D5: 3 # E5: 7 => UNS * INC # F6: 2 + D5: 3 # C4: 5,6 => UNS * INC # F6: 2 + D5: 3 # C4: 1 => UNS * INC # F6: 2 + D5: 3 # D8: 5,6 => UNS * INC # F6: 2 + D5: 3 # D9: 5,6 => UNS * INC # F6: 2 + D5: 3 # E5: 6,7 => UNS * INC # F6: 2 + D5: 3 # E5: 5 => UNS * INC # F6: 2 + D5: 3 # H6: 6,7 => UNS * INC # F6: 2 + D5: 3 # I6: 6,7 => UNS * INC # F6: 2 + D5: 3 # D8: 1,5 => UNS * INC # F6: 2 + D5: 3 # D8: 6 => UNS * INC # F6: 2 + D5: 3 # A7: 1,5 => UNS * INC # F6: 2 + D5: 3 # B7: 1,5 => UNS * INC # F6: 2 + D5: 3 # A7: 4,7 => UNS * INC # F6: 2 + D5: 3 # A7: 1,2,3,5 => UNS * INC # F6: 2 + D5: 3 => UNS * INC # D4: 2 # E5: 6,7 => UNS * INC # D4: 2 # E6: 6,7 => UNS * INC # D4: 2 # H6: 6,7 => UNS * INC # D4: 2 # I6: 6,7 => UNS * INC # D4: 2 # F8: 6,7 => UNS * INC # D4: 2 # F8: 8 => UNS * INC # D4: 2 # I4: 1,8 => UNS * INC # D4: 2 # I4: 6 => UNS * INC # D4: 2 # A4: 1,8 => UNS * INC # D4: 2 # A4: 5 => UNS * INC # D4: 2 # G3: 1,8 => UNS * INC # D4: 2 # G3: 2,3,4 => UNS * INC # D4: 2 # A7: 4,7 => UNS * INC # D4: 2 # A7: 1,2,3,5 => UNS * INC # D4: 2 => UNS * CNT 54 HDP CHAINS / 54 HYP OPENED
Full list of HDP chains traversed for F2,F8: 8..:
* INC # F2: 8 # E1: 1,3 => UNS * INC # F2: 8 # D2: 1,3 => UNS * INC # F2: 8 # D3: 1,3 => UNS * INC # F2: 8 # B2: 1,3 => UNS * INC # F2: 8 # C2: 1,3 => UNS * INC # F2: 8 # I2: 1,3 => UNS * INC # F2: 8 # A7: 4,7 => UNS * INC # F2: 8 # A7: 1,2,3,5 => UNS * INC # F2: 8 # F6: 6,7 => UNS * INC # F2: 8 # F6: 2 => UNS * INC # F2: 8 # I9: 2,9 => UNS * INC # F2: 8 # I9: 5,7 => UNS * INC # F2: 8 => UNS * INC # F8: 8 # F1: 2,4 => UNS * INC # F8: 8 # D2: 2,4 => UNS * INC # F8: 8 # D3: 2,4 => UNS * INC # F8: 8 # C2: 2,4 => UNS * INC # F8: 8 # H2: 2,4 => UNS * INC # F8: 8 # A7: 4,7 => UNS * INC # F8: 8 # A7: 1,2,3,5 => UNS * INC # F8: 8 # B8: 3,9 => UNS * INC # F8: 8 # B8: 1,5,6 => UNS * INC # F8: 8 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for E2,E9: 8..:
* INC # E9: 8 # E1: 1,3 => UNS * INC # E9: 8 # D2: 1,3 => UNS * INC # E9: 8 # D3: 1,3 => UNS * INC # E9: 8 # B2: 1,3 => UNS * INC # E9: 8 # C2: 1,3 => UNS * INC # E9: 8 # I2: 1,3 => UNS * INC # E9: 8 # A7: 4,7 => UNS * INC # E9: 8 # A7: 1,2,3,5 => UNS * INC # E9: 8 # F6: 6,7 => UNS * INC # E9: 8 # F6: 2 => UNS * INC # E9: 8 # I9: 2,9 => UNS * INC # E9: 8 # I9: 5,7 => UNS * INC # E9: 8 => UNS * INC # E2: 8 # F1: 2,4 => UNS * INC # E2: 8 # D2: 2,4 => UNS * INC # E2: 8 # D3: 2,4 => UNS * INC # E2: 8 # C2: 2,4 => UNS * INC # E2: 8 # H2: 2,4 => UNS * INC # E2: 8 # A7: 4,7 => UNS * INC # E2: 8 # A7: 1,2,3,5 => UNS * INC # E2: 8 # B8: 3,9 => UNS * INC # E2: 8 # B8: 1,5,6 => UNS * INC # E2: 8 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for F8,E9: 8..:
* INC # E9: 8 # E1: 1,3 => UNS * INC # E9: 8 # D2: 1,3 => UNS * INC # E9: 8 # D3: 1,3 => UNS * INC # E9: 8 # B2: 1,3 => UNS * INC # E9: 8 # C2: 1,3 => UNS * INC # E9: 8 # I2: 1,3 => UNS * INC # E9: 8 # A7: 4,7 => UNS * INC # E9: 8 # A7: 1,2,3,5 => UNS * INC # E9: 8 # F6: 6,7 => UNS * INC # E9: 8 # F6: 2 => UNS * INC # E9: 8 # I9: 2,9 => UNS * INC # E9: 8 # I9: 5,7 => UNS * INC # E9: 8 => UNS * INC # F8: 8 # F1: 2,4 => UNS * INC # F8: 8 # D2: 2,4 => UNS * INC # F8: 8 # D3: 2,4 => UNS * INC # F8: 8 # C2: 2,4 => UNS * INC # F8: 8 # H2: 2,4 => UNS * INC # F8: 8 # A7: 4,7 => UNS * INC # F8: 8 # A7: 1,2,3,5 => UNS * INC # F8: 8 # B8: 3,9 => UNS * INC # F8: 8 # B8: 1,5,6 => UNS * INC # F8: 8 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for E2,F2: 8..:
* INC # F2: 8 # E1: 1,3 => UNS * INC # F2: 8 # D2: 1,3 => UNS * INC # F2: 8 # D3: 1,3 => UNS * INC # F2: 8 # B2: 1,3 => UNS * INC # F2: 8 # C2: 1,3 => UNS * INC # F2: 8 # I2: 1,3 => UNS * INC # F2: 8 # A7: 4,7 => UNS * INC # F2: 8 # A7: 1,2,3,5 => UNS * INC # F2: 8 # F6: 6,7 => UNS * INC # F2: 8 # F6: 2 => UNS * INC # F2: 8 # I9: 2,9 => UNS * INC # F2: 8 # I9: 5,7 => UNS * INC # F2: 8 => UNS * INC # E2: 8 # F1: 2,4 => UNS * INC # E2: 8 # D2: 2,4 => UNS * INC # E2: 8 # D3: 2,4 => UNS * INC # E2: 8 # C2: 2,4 => UNS * INC # E2: 8 # H2: 2,4 => UNS * INC # E2: 8 # A7: 4,7 => UNS * INC # E2: 8 # A7: 1,2,3,5 => UNS * INC # E2: 8 # B8: 3,9 => UNS * INC # E2: 8 # B8: 1,5,6 => UNS * INC # E2: 8 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for F7,D9: 4..:
* INC # D9: 4 # D4: 2,6 => UNS * INC # D9: 4 # D4: 5 => UNS * INC # D9: 4 # H6: 2,6 => UNS * INC # D9: 4 # I6: 2,6 => UNS * INC # D9: 4 # F1: 2,6 => UNS * INC # D9: 4 # F1: 4 => UNS * INC # D9: 4 # D8: 1,5 => UNS * INC # D9: 4 # D8: 6 => UNS * INC # D9: 4 # A7: 1,5 => UNS * INC # D9: 4 # B7: 1,5 => UNS * INC # D9: 4 # E9: 6,8 => UNS * INC # D9: 4 # E9: 5 => UNS * INC # D9: 4 # I7: 2,5 => UNS * DIS # D9: 4 # I9: 2,5 => CTR => I9: 7,8,9 * INC # D9: 4 + I9: 7,8,9 # I7: 2,5 => UNS * INC # D9: 4 + I9: 7,8,9 # I7: 3 => UNS * INC # D9: 4 + I9: 7,8,9 # A7: 2,5 => UNS * INC # D9: 4 + I9: 7,8,9 # A7: 1,3,4 => UNS * INC # D9: 4 + I9: 7,8,9 # H1: 2,5 => UNS * INC # D9: 4 + I9: 7,8,9 # H2: 2,5 => UNS * INC # D9: 4 + I9: 7,8,9 # D4: 2,6 => UNS * INC # D9: 4 + I9: 7,8,9 # D4: 5 => UNS * INC # D9: 4 + I9: 7,8,9 # H6: 2,6 => UNS * INC # D9: 4 + I9: 7,8,9 # I6: 2,6 => UNS * INC # D9: 4 + I9: 7,8,9 # F1: 2,6 => UNS * INC # D9: 4 + I9: 7,8,9 # F1: 4 => UNS * INC # D9: 4 + I9: 7,8,9 # D8: 1,5 => UNS * INC # D9: 4 + I9: 7,8,9 # D8: 6 => UNS * INC # D9: 4 + I9: 7,8,9 # A7: 1,5 => UNS * INC # D9: 4 + I9: 7,8,9 # B7: 1,5 => UNS * INC # D9: 4 + I9: 7,8,9 # E9: 6,8 => UNS * INC # D9: 4 + I9: 7,8,9 # E9: 5 => UNS * INC # D9: 4 + I9: 7,8,9 # I7: 2,5 => UNS * INC # D9: 4 + I9: 7,8,9 # I7: 3 => UNS * INC # D9: 4 + I9: 7,8,9 # A7: 2,5 => UNS * INC # D9: 4 + I9: 7,8,9 # A7: 1,3,4 => UNS * INC # D9: 4 + I9: 7,8,9 # H1: 2,5 => UNS * INC # D9: 4 + I9: 7,8,9 # H2: 2,5 => UNS * INC # D9: 4 + I9: 7,8,9 => UNS * INC # F7: 4 # D3: 2,6 => UNS * INC # F7: 4 # D3: 1,3,4 => UNS * INC # F7: 4 # H1: 2,6 => UNS * INC # F7: 4 # I1: 2,6 => UNS * INC # F7: 4 # F6: 2,6 => UNS * INC # F7: 4 # F6: 7 => UNS * INC # F7: 4 # D8: 5,6 => UNS * INC # F7: 4 # E9: 5,6 => UNS * INC # F7: 4 # B9: 5,6 => UNS * INC # F7: 4 # C9: 5,6 => UNS * INC # F7: 4 # D4: 5,6 => UNS * INC # F7: 4 # D5: 5,6 => UNS * INC # F7: 4 => UNS * CNT 52 HDP CHAINS / 52 HYP OPENED
Full list of HDP chains traversed for E7,D8: 1..:
* INC # E7: 1 # D3: 3,6 => UNS * INC # E7: 1 # D3: 1,2,4 => UNS * INC # E7: 1 # I1: 3,6 => UNS * INC # E7: 1 # I1: 1,2,5 => UNS * INC # E7: 1 # E5: 3,6 => UNS * INC # E7: 1 # E6: 3,6 => UNS * INC # E7: 1 # A7: 4,7 => UNS * INC # E7: 1 # A7: 2,3,5 => UNS * INC # E7: 1 # D9: 5,6 => UNS * INC # E7: 1 # E9: 5,6 => UNS * INC # E7: 1 # B8: 5,6 => UNS * INC # E7: 1 # C8: 5,6 => UNS * INC # E7: 1 # D4: 5,6 => UNS * PRF # E7: 1 # D5: 5,6 => SOL * STA # E7: 1 + D5: 5,6 * CNT 14 HDP CHAINS / 15 HYP OPENED