Analysis of xx-ph-02319257-2019_03_16-base.sdk
Original Sudoku
level: deep
position: 98.7..6..5..9..8....4.3....7...59.6....6....7....8.9..2..8..7...1..7...2.....2... initial
Autosolve
position: 98.7..6..5..9..8....4.38...7...59.6....6....7....879..2..8..7...1..7...2.....2... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:06.178011
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000028
List of important HDP chains detected for H3,I3: 9..:
* DIS # H3: 9 # E1: 1,4 => CTR => E1: 2 * DIS # H3: 9 + E1: 2 # B4: 2,3 => CTR => B4: 4 * DIS # H3: 9 + E1: 2 + B4: 4 => CTR => H3: 1,2,5,7 * STA H3: 1,2,5,7 * CNT 3 HDP CHAINS / 19 HYP OPENED
List of important HDP chains detected for F1,D3: 5..:
* DIS # D3: 5 # H8: 3,4 => CTR => H8: 5,8,9 * CNT 1 HDP CHAINS / 88 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..5..9..8....4.3....7...59.6....6....7....8.9..2..8..7...1..7...2.....2... | initial |
| 98.7..6..5..9..8....4.38...7...59.6....6....7....879..2..8..7...1..7...2.....2... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) A3: 1,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F1,D3: 5.. / F1 = 5 => 2 pairs (_) / D3 = 5 => 6 pairs (_) A3,B3: 6.. / A3 = 6 => 1 pairs (_) / B3 = 6 => 3 pairs (_) E2,F2: 6.. / E2 = 6 => 2 pairs (_) / F2 = 6 => 5 pairs (_) I7,I9: 6.. / I7 = 6 => 1 pairs (_) / I9 = 6 => 1 pairs (_) H2,H3: 7.. / H2 = 7 => 1 pairs (_) / H3 = 7 => 2 pairs (_) B9,C9: 7.. / B9 = 7 => 3 pairs (_) / C9 = 7 => 1 pairs (_) B3,H3: 7.. / B3 = 7 => 1 pairs (_) / H3 = 7 => 2 pairs (_) C2,C9: 7.. / C2 = 7 => 3 pairs (_) / C9 = 7 => 1 pairs (_) I4,H5: 8.. / I4 = 8 => 1 pairs (_) / H5 = 8 => 1 pairs (_) C4,I4: 8.. / C4 = 8 => 1 pairs (_) / I4 = 8 => 1 pairs (_) I4,I9: 8.. / I4 = 8 => 1 pairs (_) / I9 = 8 => 1 pairs (_) H3,I3: 9.. / H3 = 9 => 11 pairs (_) / I3 = 9 => 1 pairs (_) B5,C5: 9.. / B5 = 9 => 1 pairs (_) / C5 = 9 => 1 pairs (_) E7,E9: 9.. / E7 = 9 => 1 pairs (_) / E9 = 9 => 1 pairs (_) C8,H8: 9.. / C8 = 9 => 1 pairs (_) / H8 = 9 => 1 pairs (_) * DURATION: 0:00:10.154322 START: 22:46:59.219300 END: 22:47:09.373622 2020-11-09 * CP COUNT: (15) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H3,I3: 9.. / H3 = 9 ==> 0 pairs (X) / I3 = 9 => 1 pairs (_) F1,D3: 5.. / F1 = 5 ==> 2 pairs (_) / D3 = 5 ==> 6 pairs (_) E2,F2: 6.. / E2 = 6 ==> 2 pairs (_) / F2 = 6 ==> 5 pairs (_) C2,C9: 7.. / C2 = 7 ==> 3 pairs (_) / C9 = 7 ==> 1 pairs (_) B9,C9: 7.. / B9 = 7 ==> 3 pairs (_) / C9 = 7 ==> 1 pairs (_) A3,B3: 6.. / A3 = 6 ==> 1 pairs (_) / B3 = 6 ==> 3 pairs (_) B3,H3: 7.. / B3 = 7 ==> 1 pairs (_) / H3 = 7 ==> 2 pairs (_) H2,H3: 7.. / H2 = 7 ==> 1 pairs (_) / H3 = 7 ==> 2 pairs (_) C8,H8: 9.. / C8 = 9 ==> 1 pairs (_) / H8 = 9 ==> 1 pairs (_) E7,E9: 9.. / E7 = 9 ==> 1 pairs (_) / E9 = 9 ==> 1 pairs (_) B5,C5: 9.. / B5 = 9 ==> 1 pairs (_) / C5 = 9 ==> 1 pairs (_) I4,I9: 8.. / I4 = 8 ==> 1 pairs (_) / I9 = 8 ==> 1 pairs (_) C4,I4: 8.. / C4 = 8 ==> 1 pairs (_) / I4 = 8 ==> 1 pairs (_) I4,H5: 8.. / I4 = 8 ==> 1 pairs (_) / H5 = 8 ==> 1 pairs (_) I7,I9: 6.. / I7 = 6 ==> 1 pairs (_) / I9 = 6 ==> 1 pairs (_) * DURATION: 0:01:56.377317 START: 22:47:17.425562 END: 22:49:13.802879 2020-11-09 * REASONING H3,I3: 9.. * DIS # H3: 9 # E1: 1,4 => CTR => E1: 2 * DIS # H3: 9 + E1: 2 # B4: 2,3 => CTR => B4: 4 * DIS # H3: 9 + E1: 2 + B4: 4 => CTR => H3: 1,2,5,7 * STA H3: 1,2,5,7 * CNT 3 HDP CHAINS / 19 HYP OPENED * REASONING F1,D3: 5.. * DIS # D3: 5 # H8: 3,4 => CTR => H8: 5,8,9 * CNT 1 HDP CHAINS / 88 HYP OPENED * DCP COUNT: (15) * CLUE FOUND
Header Info
2319257;2019_03_16;PAQ;24;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # A6: 1,6 => UNS * INC # A6: 3,4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A6: 1,6 => UNS * INC # A6: 3,4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A6: 1,6 => UNS * INC # A6: 3,4 => UNS * INC # A6: 1,6 # C6: 1,6 => UNS * INC # A6: 1,6 # C6: 2,3,5 => UNS * INC # A6: 1,6 => UNS * INC # A6: 3,4 # B4: 3,4 => UNS * INC # A6: 3,4 # A5: 3,4 => UNS * INC # A6: 3,4 # B5: 3,4 => UNS * INC # A6: 3,4 # B6: 3,4 => UNS * INC # A6: 3,4 # D6: 3,4 => UNS * INC # A6: 3,4 # H6: 3,4 => UNS * INC # A6: 3,4 # I6: 3,4 => UNS * INC # A6: 3,4 # A8: 3,4 => UNS * INC # A6: 3,4 # A9: 3,4 => UNS * INC # A6: 3,4 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H3,I3: 9..:
* INC # H3: 9 # C2: 1,3 => UNS * INC # H3: 9 # C2: 2 => UNS * INC # H3: 9 # H1: 1,3 => UNS * INC # H3: 9 # I1: 1,3 => UNS * INC # H3: 9 # C2: 2,3 => UNS * INC # H3: 9 # C2: 1 => UNS * INC # H3: 9 # B4: 2,3 => UNS * INC # H3: 9 # B4: 4 => UNS * DIS # H3: 9 # E1: 1,4 => CTR => E1: 2 * INC # H3: 9 + E1: 2 # F1: 1,4 => UNS * INC # H3: 9 + E1: 2 # F1: 1,4 => UNS * INC # H3: 9 + E1: 2 # F1: 5 => UNS * INC # H3: 9 + E1: 2 # I2: 1,4 => UNS * INC # H3: 9 + E1: 2 # I2: 3 => UNS * INC # H3: 9 + E1: 2 # I1: 1,5 => UNS * INC # H3: 9 + E1: 2 # I1: 3,4 => UNS * DIS # H3: 9 + E1: 2 # B4: 2,3 => CTR => B4: 4 * DIS # H3: 9 + E1: 2 + B4: 4 => CTR => H3: 1,2,5,7 * INC H3: 1,2,5,7 # I3: 9 => UNS * STA H3: 1,2,5,7 * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for F1,D3: 5..:
* INC # D3: 5 # A6: 1,6 => UNS * INC # D3: 5 # A6: 3,4 => UNS * INC # D3: 5 # E1: 1,4 => UNS * INC # D3: 5 # E2: 1,4 => UNS * INC # D3: 5 # F2: 1,4 => UNS * INC # D3: 5 # H1: 1,4 => UNS * INC # D3: 5 # I1: 1,4 => UNS * INC # D3: 5 # F5: 1,4 => UNS * INC # D3: 5 # F7: 1,4 => UNS * INC # D3: 5 # H1: 1,2 => UNS * INC # D3: 5 # H2: 1,2 => UNS * INC # D3: 5 # H3: 1,2 => UNS * INC # D3: 5 # G4: 1,2 => UNS * INC # D3: 5 # G5: 1,2 => UNS * INC # D3: 5 # H3: 1,9 => UNS * INC # D3: 5 # H3: 2,7 => UNS * INC # D3: 5 # I7: 1,9 => UNS * INC # D3: 5 # I9: 1,9 => UNS * INC # D3: 5 # D4: 1,4 => UNS * INC # D3: 5 # F5: 1,4 => UNS * INC # D3: 5 # D6: 1,4 => UNS * INC # D3: 5 # A5: 1,4 => UNS * INC # D3: 5 # G5: 1,4 => UNS * INC # D3: 5 # H5: 1,4 => UNS * INC # D3: 5 # E1: 1,4 => UNS * INC # D3: 5 # E2: 1,4 => UNS * INC # D3: 5 # E7: 1,4 => UNS * INC # D3: 5 # E9: 1,4 => UNS * INC # D3: 5 # F7: 3,4 => UNS * INC # D3: 5 # F8: 3,4 => UNS * INC # D3: 5 # D9: 3,4 => UNS * INC # D3: 5 # A8: 3,4 => UNS * INC # D3: 5 # G8: 3,4 => UNS * DIS # D3: 5 # H8: 3,4 => CTR => H8: 5,8,9 * INC # D3: 5 + H8: 5,8,9 # D4: 3,4 => UNS * INC # D3: 5 + H8: 5,8,9 # D6: 3,4 => UNS * INC # D3: 5 + H8: 5,8,9 # F7: 3,4 => UNS * INC # D3: 5 + H8: 5,8,9 # F8: 3,4 => UNS * INC # D3: 5 + H8: 5,8,9 # D9: 3,4 => UNS * INC # D3: 5 + H8: 5,8,9 # A8: 3,4 => UNS * INC # D3: 5 + H8: 5,8,9 # G8: 3,4 => UNS * INC # D3: 5 + H8: 5,8,9 # D4: 3,4 => UNS * INC # D3: 5 + H8: 5,8,9 # D6: 3,4 => UNS * INC # D3: 5 + H8: 5,8,9 # A6: 1,6 => UNS * INC # D3: 5 + H8: 5,8,9 # A6: 3,4 => UNS * INC # D3: 5 + H8: 5,8,9 # E1: 1,4 => UNS * INC # D3: 5 + H8: 5,8,9 # E2: 1,4 => UNS * INC # D3: 5 + H8: 5,8,9 # F2: 1,4 => UNS * INC # D3: 5 + H8: 5,8,9 # H1: 1,4 => UNS * INC # D3: 5 + H8: 5,8,9 # I1: 1,4 => UNS * INC # D3: 5 + H8: 5,8,9 # F5: 1,4 => UNS * INC # D3: 5 + H8: 5,8,9 # F7: 1,4 => UNS * INC # D3: 5 + H8: 5,8,9 # H1: 1,2 => UNS * INC # D3: 5 + H8: 5,8,9 # H2: 1,2 => UNS * INC # D3: 5 + H8: 5,8,9 # H3: 1,2 => UNS * INC # D3: 5 + H8: 5,8,9 # G4: 1,2 => UNS * INC # D3: 5 + H8: 5,8,9 # G5: 1,2 => UNS * INC # D3: 5 + H8: 5,8,9 # H3: 1,9 => UNS * INC # D3: 5 + H8: 5,8,9 # H3: 2,7 => UNS * INC # D3: 5 + H8: 5,8,9 # I7: 1,9 => UNS * INC # D3: 5 + H8: 5,8,9 # I9: 1,9 => UNS * INC # D3: 5 + H8: 5,8,9 # D4: 1,4 => UNS * INC # D3: 5 + H8: 5,8,9 # F5: 1,4 => UNS * INC # D3: 5 + H8: 5,8,9 # D6: 1,4 => UNS * INC # D3: 5 + H8: 5,8,9 # A5: 1,4 => UNS * INC # D3: 5 + H8: 5,8,9 # G5: 1,4 => UNS * INC # D3: 5 + H8: 5,8,9 # H5: 1,4 => UNS * INC # D3: 5 + H8: 5,8,9 # E1: 1,4 => UNS * INC # D3: 5 + H8: 5,8,9 # E2: 1,4 => UNS * INC # D3: 5 + H8: 5,8,9 # E7: 1,4 => UNS * INC # D3: 5 + H8: 5,8,9 # E9: 1,4 => UNS * INC # D3: 5 + H8: 5,8,9 # F7: 3,4 => UNS * INC # D3: 5 + H8: 5,8,9 # F8: 3,4 => UNS * INC # D3: 5 + H8: 5,8,9 # D9: 3,4 => UNS * INC # D3: 5 + H8: 5,8,9 # A8: 3,4 => UNS * INC # D3: 5 + H8: 5,8,9 # G8: 3,4 => UNS * INC # D3: 5 + H8: 5,8,9 # D4: 3,4 => UNS * INC # D3: 5 + H8: 5,8,9 # D6: 3,4 => UNS * INC # D3: 5 + H8: 5,8,9 => UNS * INC # F1: 5 # A6: 1,6 => UNS * INC # F1: 5 # A6: 3,4 => UNS * INC # F1: 5 # E1: 1,2 => UNS * INC # F1: 5 # E2: 1,2 => UNS * INC # F1: 5 # G3: 1,2 => UNS * INC # F1: 5 # H3: 1,2 => UNS * INC # F1: 5 # D4: 1,2 => UNS * INC # F1: 5 # D6: 1,2 => UNS * INC # F1: 5 => UNS * CNT 88 HDP CHAINS / 88 HYP OPENED
Full list of HDP chains traversed for E2,F2: 6..:
* INC # F2: 6 # A6: 1,6 => UNS * INC # F2: 6 # A6: 3,4 => UNS * INC # F2: 6 # C8: 6,8 => UNS * INC # F2: 6 # C8: 9 => UNS * INC # F2: 6 # I7: 6,9 => UNS * INC # F2: 6 # I7: 1,3,4,5 => UNS * INC # F2: 6 # I9: 6,9 => UNS * INC # F2: 6 # I9: 1,3,4,5,8 => UNS * INC # F2: 6 # H9: 8,9 => UNS * INC # F2: 6 # I9: 8,9 => UNS * INC # F2: 6 # C8: 8,9 => UNS * INC # F2: 6 # C8: 6 => UNS * INC # F2: 6 => UNS * INC # E2: 6 # A6: 1,6 => UNS * INC # E2: 6 # A6: 3,4 => UNS * INC # E2: 6 # E1: 1,4 => UNS * INC # E2: 6 # F1: 1,4 => UNS * INC # E2: 6 # H2: 1,4 => UNS * INC # E2: 6 # I2: 1,4 => UNS * INC # E2: 6 # F5: 1,4 => UNS * INC # E2: 6 # F7: 1,4 => UNS * INC # E2: 6 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for C2,C9: 7..:
* INC # C2: 7 # C1: 2,3 => UNS * INC # C2: 7 # C1: 1 => UNS * INC # C2: 7 # H2: 2,3 => UNS * INC # C2: 7 # H2: 1,4 => UNS * INC # C2: 7 # B4: 2,3 => UNS * INC # C2: 7 # B5: 2,3 => UNS * INC # C2: 7 # B6: 2,3 => UNS * INC # C2: 7 # A6: 1,6 => UNS * INC # C2: 7 # A6: 3,4 => UNS * INC # C2: 7 # B6: 2,6 => UNS * INC # C2: 7 # B6: 3,4,5 => UNS * INC # C2: 7 => UNS * INC # C9: 7 # A6: 1,6 => UNS * INC # C9: 7 # A6: 3,4 => UNS * INC # C9: 7 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for B9,C9: 7..:
* INC # B9: 7 # C1: 2,3 => UNS * INC # B9: 7 # C1: 1 => UNS * INC # B9: 7 # H2: 2,3 => UNS * INC # B9: 7 # H2: 1,4 => UNS * INC # B9: 7 # B4: 2,3 => UNS * INC # B9: 7 # B5: 2,3 => UNS * INC # B9: 7 # B6: 2,3 => UNS * INC # B9: 7 # A6: 1,6 => UNS * INC # B9: 7 # A6: 3,4 => UNS * INC # B9: 7 # B6: 2,6 => UNS * INC # B9: 7 # B6: 3,4,5 => UNS * INC # B9: 7 => UNS * INC # C9: 7 # A6: 1,6 => UNS * INC # C9: 7 # A6: 3,4 => UNS * INC # C9: 7 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for A3,B3: 6..:
* INC # B3: 6 # B2: 2,3 => UNS * INC # B3: 6 # C2: 2,3 => UNS * INC # B3: 6 # H1: 2,3 => UNS * INC # B3: 6 # H1: 1,4,5 => UNS * INC # B3: 6 # C4: 2,3 => UNS * INC # B3: 6 # C5: 2,3 => UNS * INC # B3: 6 # C6: 2,3 => UNS * INC # B3: 6 # H1: 2,5 => UNS * INC # B3: 6 # H1: 1,3,4 => UNS * INC # B3: 6 # G5: 2,5 => UNS * INC # B3: 6 # G5: 1,3,4 => UNS * INC # B3: 6 => UNS * INC # A3: 6 # B2: 2,7 => UNS * INC # A3: 6 # C2: 2,7 => UNS * INC # A3: 6 # H3: 2,7 => UNS * INC # A3: 6 # H3: 1,5,9 => UNS * INC # A3: 6 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for B3,H3: 7..:
* INC # H3: 7 # A6: 1,6 => UNS * INC # H3: 7 # A6: 3,4 => UNS * INC # H3: 7 # B6: 2,6 => UNS * INC # H3: 7 # B6: 3,4,5 => UNS * INC # H3: 7 => UNS * INC # B3: 7 # C1: 2,3 => UNS * INC # B3: 7 # C2: 2,3 => UNS * INC # B3: 7 # B4: 2,3 => UNS * INC # B3: 7 # B5: 2,3 => UNS * INC # B3: 7 # B6: 2,3 => UNS * INC # B3: 7 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for H2,H3: 7..:
* INC # H3: 7 # A6: 1,6 => UNS * INC # H3: 7 # A6: 3,4 => UNS * INC # H3: 7 # B6: 2,6 => UNS * INC # H3: 7 # B6: 3,4,5 => UNS * INC # H3: 7 => UNS * INC # H2: 7 # C1: 2,3 => UNS * INC # H2: 7 # C2: 2,3 => UNS * INC # H2: 7 # B4: 2,3 => UNS * INC # H2: 7 # B5: 2,3 => UNS * INC # H2: 7 # B6: 2,3 => UNS * INC # H2: 7 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for C8,H8: 9..:
* INC # C8: 9 # A6: 1,6 => UNS * INC # C8: 9 # A6: 3,4 => UNS * INC # C8: 9 => UNS * INC # H8: 9 # A6: 1,6 => UNS * INC # H8: 9 # A6: 3,4 => UNS * INC # H8: 9 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for E7,E9: 9..:
* INC # E7: 9 # A6: 1,6 => UNS * INC # E7: 9 # A6: 3,4 => UNS * INC # E7: 9 => UNS * INC # E9: 9 # A6: 1,6 => UNS * INC # E9: 9 # A6: 3,4 => UNS * INC # E9: 9 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for B5,C5: 9..:
* INC # B5: 9 # A6: 1,6 => UNS * INC # B5: 9 # A6: 3,4 => UNS * INC # B5: 9 => UNS * INC # C5: 9 # A6: 1,6 => UNS * INC # C5: 9 # A6: 3,4 => UNS * INC # C5: 9 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for I4,I9: 8..:
* INC # I4: 8 # A6: 1,6 => UNS * INC # I4: 8 # A6: 3,4 => UNS * INC # I4: 8 => UNS * INC # I9: 8 # A6: 1,6 => UNS * INC # I9: 8 # A6: 3,4 => UNS * INC # I9: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for C4,I4: 8..:
* INC # C4: 8 # A6: 1,6 => UNS * INC # C4: 8 # A6: 3,4 => UNS * INC # C4: 8 => UNS * INC # I4: 8 # A6: 1,6 => UNS * INC # I4: 8 # A6: 3,4 => UNS * INC # I4: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for I4,H5: 8..:
* INC # I4: 8 # A6: 1,6 => UNS * INC # I4: 8 # A6: 3,4 => UNS * INC # I4: 8 => UNS * INC # H5: 8 # A6: 1,6 => UNS * INC # H5: 8 # A6: 3,4 => UNS * INC # H5: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for I7,I9: 6..:
* INC # I7: 6 # A6: 1,6 => UNS * INC # I7: 6 # A6: 3,4 => UNS * INC # I7: 6 => UNS * INC # I9: 6 # A6: 1,6 => UNS * INC # I9: 6 # A6: 3,4 => UNS * INC # I9: 6 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED