Analysis of xx-ph-02320323-2019_03_18-base.sdk
Original Sudoku
level: deep
position: 98.7.....7...6.9....5....4..9.3..8....2.....1.....4.5..3..7.6.....8...7......1..2 initial
Autosolve
position: 98.7.....7...6.9....5....4..9.3..8....2.....1.....4.5..3..7.6.....8...7......1..2 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:16.656509
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000011
List of important HDP chains detected for I4,G5: 4..:
* DIS # G5: 4 # I6: 6,7 => CTR => I6: 3,9 * CNT 1 HDP CHAINS / 43 HYP OPENED
List of important HDP chains detected for F4,F5: 7..:
* PRF # F4: 7 # A4: 4,6 => SOL * STA # F4: 7 + A4: 4,6 * CNT 1 HDP CHAINS / 4 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.....7...6.9....5....4..9.3..8....2.....1.....4.5..3..7.6.....8...7......1..2 | initial |
| 98.7.....7...6.9....5....4..9.3..8....2.....1.....4.5..3..7.6.....8...7......1..2 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) H4: 2,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H7,G8: 1.. / H7 = 1 => 1 pairs (_) / G8 = 1 => 2 pairs (_) H4,G6: 2.. / H4 = 2 => 2 pairs (_) / G6 = 2 => 2 pairs (_) E1,D2: 4.. / E1 = 4 => 1 pairs (_) / D2 = 4 => 3 pairs (_) I4,G5: 4.. / I4 = 4 => 2 pairs (_) / G5 = 4 => 3 pairs (_) C1,E1: 4.. / C1 = 4 => 3 pairs (_) / E1 = 4 => 1 pairs (_) F8,D9: 6.. / F8 = 6 => 1 pairs (_) / D9 = 6 => 4 pairs (_) G3,I3: 7.. / G3 = 7 => 3 pairs (_) / I3 = 7 => 2 pairs (_) F4,F5: 7.. / F4 = 7 => 2 pairs (_) / F5 = 7 => 2 pairs (_) B9,C9: 7.. / B9 = 7 => 2 pairs (_) / C9 = 7 => 1 pairs (_) H5,I6: 9.. / H5 = 9 => 5 pairs (_) / I6 = 9 => 2 pairs (_) * DURATION: 0:00:05.666111 START: 05:59:39.142997 END: 05:59:44.809108 2020-09-21 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H5,I6: 9.. / H5 = 9 ==> 5 pairs (_) / I6 = 9 ==> 2 pairs (_) F8,D9: 6.. / F8 = 6 ==> 1 pairs (_) / D9 = 6 ==> 4 pairs (_) G3,I3: 7.. / G3 = 7 ==> 3 pairs (_) / I3 = 7 ==> 2 pairs (_) I4,G5: 4.. / I4 = 4 ==> 2 pairs (_) / G5 = 4 ==> 4 pairs (_) C1,E1: 4.. / C1 = 4 ==> 3 pairs (_) / E1 = 4 ==> 1 pairs (_) E1,D2: 4.. / E1 = 4 ==> 1 pairs (_) / D2 = 4 ==> 3 pairs (_) F4,F5: 7.. / F4 = 7 ==> 0 pairs (*) / F5 = 7 => 0 pairs (X) * DURATION: 0:01:02.855512 START: 06:00:04.446464 END: 06:01:07.301976 2020-09-21 * REASONING I4,G5: 4.. * DIS # G5: 4 # I6: 6,7 => CTR => I6: 3,9 * CNT 1 HDP CHAINS / 43 HYP OPENED * REASONING F4,F5: 7.. * PRF # F4: 7 # A4: 4,6 => SOL * STA # F4: 7 + A4: 4,6 * CNT 1 HDP CHAINS / 4 HYP OPENED * DCP COUNT: (7) * SOLUTION FOUND
Header Info
2320323;2019_03_18;PAQ;22;11.80;11.80;10.60
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # F4: 2,6 => UNS * INC # F4: 5,7 => UNS * INC # H1: 2,6 => UNS * INC # H1: 1,3 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F4: 2,6 => UNS * INC # F4: 5,7 => UNS * INC # H1: 2,6 => UNS * INC # H1: 1,3 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F4: 2,6 => UNS * INC # F4: 5,7 => UNS * INC # H1: 2,6 => UNS * INC # H1: 1,3 => UNS * INC # F4: 2,6 # A4: 1,5 => UNS * INC # F4: 2,6 # A4: 4 => UNS * INC # F4: 2,6 # E1: 1,5 => UNS * INC # F4: 2,6 # E1: 2,3,4 => UNS * INC # F4: 2,6 # D6: 2,6 => UNS * INC # F4: 2,6 # D6: 1,9 => UNS * INC # F4: 2,6 # F8: 2,6 => UNS * INC # F4: 2,6 # F8: 3,5,9 => UNS * INC # F4: 2,6 # H1: 2,6 => UNS * INC # F4: 2,6 # H1: 1,3 => UNS * INC # F4: 2,6 # C4: 4,7 => UNS * INC # F4: 2,6 # C4: 1 => UNS * INC # F4: 2,6 # A5: 3,4 => UNS * INC # F4: 2,6 # A5: 5,6,8 => UNS * INC # F4: 2,6 # G8: 3,4 => UNS * INC # F4: 2,6 # G9: 3,4 => UNS * INC # F4: 2,6 => UNS * INC # F4: 5,7 # F5: 5,7 => UNS * INC # F4: 5,7 # F5: 6,8,9 => UNS * INC # F4: 5,7 # H1: 2,6 => UNS * INC # F4: 5,7 # H1: 1,3 => UNS * INC # F4: 5,7 => UNS * INC # H1: 2,6 # F4: 2,6 => UNS * INC # H1: 2,6 # F4: 5,7 => UNS * INC # H1: 2,6 # I6: 3,9 => UNS * INC # H1: 2,6 # I6: 6,7 => UNS * INC # H1: 2,6 # H9: 3,9 => UNS * INC # H1: 2,6 # H9: 8 => UNS * INC # H1: 2,6 => UNS * INC # H1: 1,3 # G1: 1,3 => UNS * INC # H1: 1,3 # H2: 1,3 => UNS * INC # H1: 1,3 # G3: 1,3 => UNS * INC # H1: 1,3 # C1: 1,3 => UNS * INC # H1: 1,3 # E1: 1,3 => UNS * INC # H1: 1,3 # F4: 2,6 => UNS * INC # H1: 1,3 # F4: 5,7 => UNS * INC # H1: 1,3 # G5: 4,7 => UNS * INC # H1: 1,3 # G5: 3 => UNS * INC # H1: 1,3 # C4: 4,7 => UNS * INC # H1: 1,3 # C4: 1,6 => UNS * INC # H1: 1,3 => UNS * CNT 45 HDP CHAINS / 45 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H5,I6: 9..:
* INC # H5: 9 # F4: 5,6 => UNS * INC # H5: 9 # F5: 5,6 => UNS * INC # H5: 9 # A5: 5,6 => UNS * INC # H5: 9 # B5: 5,6 => UNS * INC # H5: 9 # D9: 5,6 => UNS * INC # H5: 9 # D9: 4,9 => UNS * INC # H5: 9 # F5: 5,8 => UNS * INC # H5: 9 # F5: 6,7 => UNS * INC # H5: 9 # A5: 5,8 => UNS * INC # H5: 9 # A5: 3,4,6 => UNS * INC # H5: 9 # F4: 2,6 => UNS * INC # H5: 9 # F4: 5,7 => UNS * INC # H5: 9 # H1: 2,6 => UNS * INC # H5: 9 # H1: 1,3 => UNS * INC # H5: 9 # A7: 1,8 => UNS * INC # H5: 9 # C7: 1,8 => UNS * INC # H5: 9 # H2: 1,8 => UNS * INC # H5: 9 # H2: 2,3 => UNS * INC # H5: 9 # H2: 3,8 => UNS * INC # H5: 9 # H2: 1,2 => UNS * INC # H5: 9 => UNS * INC # I6: 9 # F4: 2,6 => UNS * INC # I6: 9 # F4: 5,7 => UNS * INC # I6: 9 # H1: 2,6 => UNS * INC # I6: 9 # H1: 1,3 => UNS * INC # I6: 9 # A5: 3,6 => UNS * INC # I6: 9 # A5: 4,5,8 => UNS * INC # I6: 9 # H1: 3,6 => UNS * INC # I6: 9 # H1: 1,2 => UNS * INC # I6: 9 => UNS * CNT 30 HDP CHAINS / 30 HYP OPENED
Full list of HDP chains traversed for F8,D9: 6..:
* INC # D9: 6 # C4: 6,7 => UNS * INC # D9: 6 # I4: 6,7 => UNS * INC # D9: 6 # E5: 5,9 => UNS * INC # D9: 6 # E5: 8 => UNS * INC # D9: 6 # D7: 5,9 => UNS * INC # D9: 6 # D7: 2,4 => UNS * INC # D9: 6 # B5: 6,7 => UNS * INC # D9: 6 # B5: 4,5 => UNS * INC # D9: 6 # H1: 2,6 => UNS * INC # D9: 6 # H1: 1,3 => UNS * INC # D9: 6 => UNS * INC # F8: 6 # H1: 2,6 => UNS * INC # F8: 6 # H1: 1,3 => UNS * INC # F8: 6 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for G3,I3: 7..:
* INC # G3: 7 # F4: 2,6 => UNS * INC # G3: 7 # F4: 5,7 => UNS * INC # G3: 7 # H1: 2,6 => UNS * INC # G3: 7 # H1: 1,3 => UNS * INC # G3: 7 # A5: 3,4 => UNS * INC # G3: 7 # A5: 5,6,8 => UNS * INC # G3: 7 # G8: 3,4 => UNS * INC # G3: 7 # G9: 3,4 => UNS * INC # G3: 7 # G1: 2,3 => UNS * INC # G3: 7 # G1: 1,5 => UNS * INC # G3: 7 => UNS * INC # I3: 7 # F4: 2,6 => UNS * INC # I3: 7 # F4: 5,7 => UNS * INC # I3: 7 # H1: 2,6 => UNS * INC # I3: 7 # H1: 1,3 => UNS * INC # I3: 7 # A4: 4,6 => UNS * INC # I3: 7 # C4: 4,6 => UNS * INC # I3: 7 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for I4,G5: 4..:
* INC # G5: 4 # F4: 2,6 => UNS * INC # G5: 4 # F4: 5,7 => UNS * INC # G5: 4 # H1: 2,6 => UNS * INC # G5: 4 # H1: 1,3 => UNS * DIS # G5: 4 # I6: 6,7 => CTR => I6: 3,9 * INC # G5: 4 + I6: 3,9 # C4: 6,7 => UNS * INC # G5: 4 + I6: 3,9 # F4: 6,7 => UNS * INC # G5: 4 + I6: 3,9 # I3: 6,7 => UNS * INC # G5: 4 + I6: 3,9 # I3: 3,8 => UNS * INC # G5: 4 + I6: 3,9 # G8: 3,5 => UNS * INC # G5: 4 + I6: 3,9 # I8: 3,5 => UNS * INC # G5: 4 + I6: 3,9 # E9: 3,5 => UNS * INC # G5: 4 + I6: 3,9 # E9: 4,9 => UNS * INC # G5: 4 + I6: 3,9 # G1: 3,5 => UNS * INC # G5: 4 + I6: 3,9 # G1: 1,2 => UNS * INC # G5: 4 + I6: 3,9 # F4: 2,6 => UNS * INC # G5: 4 + I6: 3,9 # F4: 5,7 => UNS * INC # G5: 4 + I6: 3,9 # H1: 2,6 => UNS * INC # G5: 4 + I6: 3,9 # H1: 1,3 => UNS * INC # G5: 4 + I6: 3,9 # C4: 6,7 => UNS * INC # G5: 4 + I6: 3,9 # F4: 6,7 => UNS * INC # G5: 4 + I6: 3,9 # I3: 6,7 => UNS * INC # G5: 4 + I6: 3,9 # I3: 3,8 => UNS * INC # G5: 4 + I6: 3,9 # H5: 3,9 => UNS * INC # G5: 4 + I6: 3,9 # H5: 6 => UNS * INC # G5: 4 + I6: 3,9 # I8: 3,9 => UNS * INC # G5: 4 + I6: 3,9 # I8: 4,5 => UNS * INC # G5: 4 + I6: 3,9 # G8: 3,5 => UNS * INC # G5: 4 + I6: 3,9 # I8: 3,5 => UNS * INC # G5: 4 + I6: 3,9 # E9: 3,5 => UNS * INC # G5: 4 + I6: 3,9 # E9: 4,9 => UNS * INC # G5: 4 + I6: 3,9 # G1: 3,5 => UNS * INC # G5: 4 + I6: 3,9 # G1: 1,2 => UNS * INC # G5: 4 + I6: 3,9 => UNS * INC # I4: 4 # F4: 2,6 => UNS * INC # I4: 4 # F4: 5,7 => UNS * INC # I4: 4 # H1: 2,6 => UNS * INC # I4: 4 # H1: 1,3 => UNS * INC # I4: 4 # G6: 3,7 => UNS * INC # I4: 4 # I6: 3,7 => UNS * INC # I4: 4 # G3: 3,7 => UNS * INC # I4: 4 # G3: 1,2 => UNS * INC # I4: 4 => UNS * CNT 43 HDP CHAINS / 43 HYP OPENED
Full list of HDP chains traversed for C1,E1: 4..:
* INC # C1: 4 # A3: 1,2 => UNS * INC # C1: 4 # B3: 1,2 => UNS * INC # C1: 4 # H2: 1,2 => UNS * INC # C1: 4 # H2: 3,8 => UNS * INC # C1: 4 # B8: 1,2 => UNS * INC # C1: 4 # B8: 4,5,6 => UNS * INC # C1: 4 # A3: 1,3 => UNS * INC # C1: 4 # A3: 2,6 => UNS * INC # C1: 4 # H2: 1,3 => UNS * INC # C1: 4 # H2: 2,8 => UNS * INC # C1: 4 # C6: 1,3 => UNS * INC # C1: 4 # C6: 6,7,8 => UNS * INC # C1: 4 # F4: 2,6 => UNS * INC # C1: 4 # F4: 5,7 => UNS * INC # C1: 4 # H1: 2,6 => UNS * INC # C1: 4 # H1: 1,3 => UNS * INC # C1: 4 => UNS * INC # E1: 4 # F4: 2,6 => UNS * INC # E1: 4 # F4: 5,7 => UNS * INC # E1: 4 # H1: 2,6 => UNS * INC # E1: 4 # H1: 1,3 => UNS * INC # E1: 4 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for E1,D2: 4..:
* INC # D2: 4 # A3: 1,2 => UNS * INC # D2: 4 # B3: 1,2 => UNS * INC # D2: 4 # H2: 1,2 => UNS * INC # D2: 4 # H2: 3,8 => UNS * INC # D2: 4 # B8: 1,2 => UNS * INC # D2: 4 # B8: 4,5,6 => UNS * INC # D2: 4 # A3: 1,3 => UNS * INC # D2: 4 # A3: 2,6 => UNS * INC # D2: 4 # H2: 1,3 => UNS * INC # D2: 4 # H2: 2,8 => UNS * INC # D2: 4 # C6: 1,3 => UNS * INC # D2: 4 # C6: 6,7,8 => UNS * INC # D2: 4 # F4: 2,6 => UNS * INC # D2: 4 # F4: 5,7 => UNS * INC # D2: 4 # H1: 2,6 => UNS * INC # D2: 4 # H1: 1,3 => UNS * INC # D2: 4 => UNS * INC # E1: 4 # F4: 2,6 => UNS * INC # E1: 4 # F4: 5,7 => UNS * INC # E1: 4 # H1: 2,6 => UNS * INC # E1: 4 # H1: 1,3 => UNS * INC # E1: 4 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for F4,F5: 7..:
* INC # F4: 7 # H1: 2,6 => UNS * INC # F4: 7 # H1: 1,3 => UNS * PRF # F4: 7 # A4: 4,6 => SOL * STA # F4: 7 + A4: 4,6 * CNT 3 HDP CHAINS / 4 HYP OPENED