Analysis of xx-ph-00282748-12_12_03-base.sdk
Original Sudoku
level: deep
position: ........1..1..2.3..4..5.6.....3....7.8..4.5..7....9.2...86..9...9...5...4.6.9.... initial
Autosolve
position: ........1..1..2.3..4..5.6.....3....7.8..4.5..7..5.9.2...86..9...9...5...4.6.9.... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:13.920165
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000012
List of important HDP chains detected for C4,C6: 4..:
* DIS # C4: 4 # G2: 7,8 => CTR => G2: 4 * DIS # C4: 4 + G2: 4 # D3: 7,8 => CTR => D3: 1 * DIS # C4: 4 + G2: 4 + D3: 1 # F3: 7,8 => CTR => F3: 3 * DIS # C4: 4 + G2: 4 + D3: 1 + F3: 3 => CTR => C4: 2,5,9 * STA C4: 2,5,9 * CNT 4 HDP CHAINS / 10 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
| ........1..1..2.3..4..5.6.....3....7.8..4.5..7....9.2...86..9...9...5...4.6.9.... | initial |
| ........1..1..2.3..4..5.6.....3....7.8..4.5..7..5.9.2...86..9...9...5...4.6.9.... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) C6: 3,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D3,F3: 1.. / D3 = 1 => 2 pairs (_) / F3 = 1 => 3 pairs (_) G1,I3: 2.. / G1 = 2 => 2 pairs (_) / I3 = 2 => 1 pairs (_) E4,D5: 2.. / E4 = 2 => 2 pairs (_) / D5 = 2 => 2 pairs (_) C4,C6: 4.. / C4 = 4 => 9 pairs (_) / C6 = 4 => 0 pairs (_) F7,D8: 4.. / F7 = 4 => 1 pairs (_) / D8 = 4 => 2 pairs (_) F1,F7: 4.. / F1 = 4 => 2 pairs (_) / F7 = 4 => 1 pairs (_) H1,I2: 5.. / H1 = 5 => 0 pairs (_) / I2 = 5 => 2 pairs (_) C1,C4: 5.. / C1 = 5 => 2 pairs (_) / C4 = 5 => 0 pairs (_) H8,I8: 6.. / H8 = 6 => 2 pairs (_) / I8 = 6 => 2 pairs (_) D5,F5: 7.. / D5 = 7 => 2 pairs (_) / F5 = 7 => 2 pairs (_) * DURATION: 0:00:07.585610 START: 18:27:05.136991 END: 18:27:12.722601 2020-12-24 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C4,C6: 4.. / C4 = 4 ==> 0 pairs (X) / C6 = 4 => 0 pairs (_) D3,F3: 1.. / D3 = 1 ==> 2 pairs (_) / F3 = 1 ==> 3 pairs (_) D5,F5: 7.. / D5 = 7 ==> 2 pairs (_) / F5 = 7 ==> 2 pairs (_) H8,I8: 6.. / H8 = 6 ==> 2 pairs (_) / I8 = 6 ==> 2 pairs (_) E4,D5: 2.. / E4 = 2 ==> 2 pairs (_) / D5 = 2 ==> 2 pairs (_) F1,F7: 4.. / F1 = 4 ==> 2 pairs (_) / F7 = 4 ==> 1 pairs (_) F7,D8: 4.. / F7 = 4 ==> 1 pairs (_) / D8 = 4 ==> 2 pairs (_) G1,I3: 2.. / G1 = 2 ==> 2 pairs (_) / I3 = 2 ==> 1 pairs (_) C1,C4: 5.. / C1 = 5 ==> 2 pairs (_) / C4 = 5 ==> 0 pairs (_) H1,I2: 5.. / H1 = 5 ==> 0 pairs (_) / I2 = 5 ==> 2 pairs (_) * DURATION: 0:01:06.302150 START: 18:27:28.747313 END: 18:28:35.049463 2020-12-24 * REASONING C4,C6: 4.. * DIS # C4: 4 # G2: 7,8 => CTR => G2: 4 * DIS # C4: 4 + G2: 4 # D3: 7,8 => CTR => D3: 1 * DIS # C4: 4 + G2: 4 + D3: 1 # F3: 7,8 => CTR => F3: 3 * DIS # C4: 4 + G2: 4 + D3: 1 + F3: 3 => CTR => C4: 2,5,9 * STA C4: 2,5,9 * CNT 4 HDP CHAINS / 10 HYP OPENED * DCP COUNT: (10) * CLUE FOUND
Header Info
282748;12_12_03;dob;23;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # G6: 3,4 => UNS * INC # I6: 3,4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G6: 3,4 => UNS * INC # I6: 3,4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G6: 3,4 => UNS * INC # I6: 3,4 => UNS * INC # G6: 3,4 # A4: 1,6 => UNS * INC # G6: 3,4 # B4: 1,6 => UNS * INC # G6: 3,4 # A5: 1,6 => UNS * INC # G6: 3,4 # E6: 1,6 => UNS * INC # G6: 3,4 # E6: 8 => UNS * INC # G6: 3,4 # G8: 3,4 => UNS * INC # G6: 3,4 # G8: 1,2,7,8 => UNS * INC # G6: 3,4 # H4: 6,8 => UNS * INC # G6: 3,4 # H4: 1,4,9 => UNS * INC # G6: 3,4 # E6: 6,8 => UNS * INC # G6: 3,4 # E6: 1 => UNS * INC # G6: 3,4 # I8: 6,8 => UNS * INC # G6: 3,4 # I8: 2,3,4 => UNS * INC # G6: 3,4 => UNS * INC # I6: 3,4 # A4: 1,6 => UNS * INC # I6: 3,4 # B4: 1,6 => UNS * INC # I6: 3,4 # A5: 1,6 => UNS * INC # I6: 3,4 # E6: 1,6 => UNS * INC # I6: 3,4 # E6: 8 => UNS * INC # I6: 3,4 # G4: 1,8 => UNS * INC # I6: 3,4 # H4: 1,8 => UNS * INC # I6: 3,4 # E6: 1,8 => UNS * INC # I6: 3,4 # E6: 6 => UNS * INC # I6: 3,4 # G8: 1,8 => UNS * INC # I6: 3,4 # G9: 1,8 => UNS * INC # I6: 3,4 => UNS * CNT 28 HDP CHAINS / 28 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C4,C6: 4..:
* INC # C4: 4 # B1: 6,7 => UNS * INC # C4: 4 # B1: 3 => UNS * INC # C4: 4 # E2: 6,7 => UNS * INC # C4: 4 # E2: 8 => UNS * INC # C4: 4 # H1: 7,8 => UNS * DIS # C4: 4 # G2: 7,8 => CTR => G2: 4 * DIS # C4: 4 + G2: 4 # D3: 7,8 => CTR => D3: 1 * DIS # C4: 4 + G2: 4 + D3: 1 # F3: 7,8 => CTR => F3: 3 * DIS # C4: 4 + G2: 4 + D3: 1 + F3: 3 => CTR => C4: 2,5,9 * INC C4: 2,5,9 # C6: 4 => UNS * STA C4: 2,5,9 * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for D3,F3: 1..:
* INC # F3: 1 # G6: 3,4 => UNS * INC # F3: 1 # I6: 3,4 => UNS * INC # F3: 1 # E4: 6,8 => UNS * INC # F3: 1 # E6: 6,8 => UNS * INC # F3: 1 # H4: 6,8 => UNS * INC # F3: 1 # H4: 1,4,9 => UNS * INC # F3: 1 # F1: 6,8 => UNS * INC # F3: 1 # F1: 3,4,7 => UNS * INC # F3: 1 # F1: 6,7 => UNS * INC # F3: 1 # F1: 3,4,8 => UNS * INC # F3: 1 => UNS * INC # D3: 1 # G6: 3,4 => UNS * INC # D3: 1 # I6: 3,4 => UNS * INC # D3: 1 # D8: 2,7 => UNS * INC # D3: 1 # D9: 2,7 => UNS * INC # D3: 1 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for D5,F5: 7..:
* INC # D5: 7 # G6: 3,4 => UNS * INC # D5: 7 # I6: 3,4 => UNS * INC # D5: 7 # F4: 1,6 => UNS * INC # D5: 7 # E6: 1,6 => UNS * INC # D5: 7 # A5: 1,6 => UNS * INC # D5: 7 # H5: 1,6 => UNS * INC # D5: 7 => UNS * INC # F5: 7 # G6: 3,4 => UNS * INC # F5: 7 # I6: 3,4 => UNS * INC # F5: 7 # E4: 1,2 => UNS * INC # F5: 7 # E4: 6,8 => UNS * INC # F5: 7 # A5: 1,2 => UNS * INC # F5: 7 # A5: 3,6,9 => UNS * INC # F5: 7 # D8: 1,2 => UNS * INC # F5: 7 # D9: 1,2 => UNS * INC # F5: 7 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for H8,I8: 6..:
* INC # H8: 6 # G6: 3,4 => UNS * INC # H8: 6 # I6: 3,4 => UNS * INC # H8: 6 # H4: 1,9 => UNS * INC # H8: 6 # H4: 4,8 => UNS * INC # H8: 6 # A5: 1,9 => UNS * INC # H8: 6 # A5: 2,3,6 => UNS * INC # H8: 6 => UNS * INC # I8: 6 # G6: 3,4 => UNS * INC # I8: 6 # I6: 3,4 => UNS * INC # I8: 6 # A5: 3,9 => UNS * INC # I8: 6 # C5: 3,9 => UNS * INC # I8: 6 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for E4,D5: 2..:
* INC # E4: 2 # G6: 3,4 => UNS * INC # E4: 2 # I6: 3,4 => UNS * INC # E4: 2 # F5: 1,7 => UNS * INC # E4: 2 # F5: 6 => UNS * INC # E4: 2 # D3: 1,7 => UNS * INC # E4: 2 # D8: 1,7 => UNS * INC # E4: 2 # D9: 1,7 => UNS * INC # E4: 2 => UNS * INC # D5: 2 # A5: 3,9 => UNS * INC # D5: 2 # A5: 1,6 => UNS * INC # D5: 2 # I5: 3,9 => UNS * INC # D5: 2 # I5: 6 => UNS * INC # D5: 2 # C1: 3,9 => UNS * INC # D5: 2 # C3: 3,9 => UNS * INC # D5: 2 # G6: 3,4 => UNS * INC # D5: 2 # I6: 3,4 => UNS * INC # D5: 2 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for F1,F7: 4..:
* INC # F1: 4 # G6: 3,4 => UNS * INC # F1: 4 # I6: 3,4 => UNS * INC # F1: 4 # E4: 1,8 => UNS * INC # F1: 4 # F4: 1,8 => UNS * INC # F1: 4 # G6: 1,8 => UNS * INC # F1: 4 # G6: 3,4 => UNS * INC # F1: 4 # E8: 1,8 => UNS * INC # F1: 4 # E8: 2,3,7 => UNS * INC # F1: 4 => UNS * INC # F7: 4 # G6: 3,4 => UNS * INC # F7: 4 # I6: 3,4 => UNS * INC # F7: 4 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for F7,D8: 4..:
* INC # D8: 4 # G6: 3,4 => UNS * INC # D8: 4 # I6: 3,4 => UNS * INC # D8: 4 # E4: 1,8 => UNS * INC # D8: 4 # F4: 1,8 => UNS * INC # D8: 4 # G6: 1,8 => UNS * INC # D8: 4 # G6: 3,4 => UNS * INC # D8: 4 # E8: 1,8 => UNS * INC # D8: 4 # E8: 2,3,7 => UNS * INC # D8: 4 => UNS * INC # F7: 4 # G6: 3,4 => UNS * INC # F7: 4 # I6: 3,4 => UNS * INC # F7: 4 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for G1,I3: 2..:
* INC # G1: 2 # H1: 8,9 => UNS * INC # G1: 2 # I2: 8,9 => UNS * INC # G1: 2 # H3: 8,9 => UNS * INC # G1: 2 # A3: 8,9 => UNS * INC # G1: 2 # D3: 8,9 => UNS * INC # G1: 2 # G6: 3,4 => UNS * INC # G1: 2 # I6: 3,4 => UNS * INC # G1: 2 => UNS * INC # I3: 2 # G6: 3,4 => UNS * INC # I3: 2 # I6: 3,4 => UNS * INC # I3: 2 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for C1,C4: 5..:
* INC # C1: 5 # B1: 6,7 => UNS * INC # C1: 5 # B1: 2,3 => UNS * INC # C1: 5 # E2: 6,7 => UNS * INC # C1: 5 # E2: 8 => UNS * INC # C1: 5 # G6: 3,4 => UNS * INC # C1: 5 # I6: 3,4 => UNS * INC # C1: 5 => UNS * INC # C4: 5 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for H1,I2: 5..:
* INC # I2: 5 # B1: 6,7 => UNS * INC # I2: 5 # B1: 2,3,5 => UNS * INC # I2: 5 # E2: 6,7 => UNS * INC # I2: 5 # E2: 8 => UNS * INC # I2: 5 # G6: 3,4 => UNS * INC # I2: 5 # I6: 3,4 => UNS * INC # I2: 5 => UNS * INC # H1: 5 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED