Analysis of xx-ph-00034438-12_05-base.sdk
Original Sudoku
level: very deep
position: 98.7..6....5.9...........944......3..7.2..8.......3..5.1...7.....81...2.....861.. initial
Autosolve
position: 98.7..6....5.9...........944......3..7.2..8..8....3..5.1..27.....81...2.....861.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:13.125649
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 C3,C9: 7..:
* DIS # C9: 7 # I7: 3,9 => CTR => I7: 6,8 * CNT 1 HDP CHAINS / 36 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:30.953357
List of important HDP chains detected for I2,I7: 8..:
* PRF # I2: 8 # E1: 1,5 # H6: 7 => SOL * STA # I2: 8 # E1: 1,5 + H6: 7 * CNT 1 HDP CHAINS / 28 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....5.9...........944......3..7.2..8.......3..5.1...7.....81...2.....861.. | initial |
| 98.7..6....5.9...........944......3..7.2..8..8....3..5.1..27.....81...2.....861.. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) H1: 1,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A5,C5: 3.. / A5 = 3 => 2 pairs (_) / C5 = 3 => 1 pairs (_) C1,B2: 4.. / C1 = 4 => 1 pairs (_) / B2 = 4 => 3 pairs (_) H1,G3: 5.. / H1 = 5 => 1 pairs (_) / G3 = 5 => 3 pairs (_) B4,A5: 5.. / B4 = 5 => 1 pairs (_) / A5 = 5 => 3 pairs (_) E4,E6: 7.. / E4 = 7 => 2 pairs (_) / E6 = 7 => 1 pairs (_) C3,C9: 7.. / C3 = 7 => 1 pairs (_) / C9 = 7 => 3 pairs (_) D3,F3: 8.. / D3 = 8 => 1 pairs (_) / F3 = 8 => 1 pairs (_) H2,I2: 8.. / H2 = 8 => 1 pairs (_) / I2 = 8 => 3 pairs (_) D4,F4: 8.. / D4 = 8 => 1 pairs (_) / F4 = 8 => 1 pairs (_) H7,I7: 8.. / H7 = 8 => 3 pairs (_) / I7 = 8 => 1 pairs (_) D3,D4: 8.. / D3 = 8 => 1 pairs (_) / D4 = 8 => 1 pairs (_) F3,F4: 8.. / F3 = 8 => 1 pairs (_) / F4 = 8 => 1 pairs (_) H2,H7: 8.. / H2 = 8 => 1 pairs (_) / H7 = 8 => 3 pairs (_) I2,I7: 8.. / I2 = 8 => 3 pairs (_) / I7 = 8 => 1 pairs (_) * DURATION: 0:00:08.632145 START: 13:27:05.779657 END: 13:27:14.411802 2020-12-14 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I2,I7: 8.. / I2 = 8 ==> 3 pairs (_) / I7 = 8 ==> 1 pairs (_) H2,H7: 8.. / H2 = 8 ==> 1 pairs (_) / H7 = 8 ==> 3 pairs (_) H7,I7: 8.. / H7 = 8 ==> 3 pairs (_) / I7 = 8 ==> 1 pairs (_) H2,I2: 8.. / H2 = 8 ==> 1 pairs (_) / I2 = 8 ==> 3 pairs (_) C3,C9: 7.. / C3 = 7 ==> 1 pairs (_) / C9 = 7 ==> 4 pairs (_) B4,A5: 5.. / B4 = 5 ==> 1 pairs (_) / A5 = 5 ==> 3 pairs (_) H1,G3: 5.. / H1 = 5 ==> 1 pairs (_) / G3 = 5 ==> 3 pairs (_) C1,B2: 4.. / C1 = 4 ==> 1 pairs (_) / B2 = 4 ==> 3 pairs (_) E4,E6: 7.. / E4 = 7 ==> 2 pairs (_) / E6 = 7 ==> 1 pairs (_) A5,C5: 3.. / A5 = 3 ==> 2 pairs (_) / C5 = 3 ==> 1 pairs (_) F3,F4: 8.. / F3 = 8 ==> 1 pairs (_) / F4 = 8 ==> 1 pairs (_) D3,D4: 8.. / D3 = 8 ==> 1 pairs (_) / D4 = 8 ==> 1 pairs (_) D4,F4: 8.. / D4 = 8 ==> 1 pairs (_) / F4 = 8 ==> 1 pairs (_) D3,F3: 8.. / D3 = 8 ==> 1 pairs (_) / F3 = 8 ==> 1 pairs (_) * DURATION: 0:01:23.111547 START: 13:27:29.400561 END: 13:28:52.512108 2020-12-14 * REASONING C3,C9: 7.. * DIS # C9: 7 # I7: 3,9 => CTR => I7: 6,8 * CNT 1 HDP CHAINS / 36 HYP OPENED * DCP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) I2,I7: 8.. / I2 = 8 ==> 0 pairs (*) / I7 = 8 => 0 pairs (X) * DURATION: 0:00:30.950149 START: 13:28:52.678381 END: 13:29:23.628530 2020-12-14 * REASONING I2,I7: 8.. * PRF # I2: 8 # E1: 1,5 # H6: 7 => SOL * STA # I2: 8 # E1: 1,5 + H6: 7 * CNT 1 HDP CHAINS / 28 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
34438;12_05;GP;23;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # E1: 1,5 => UNS * INC # F1: 1,5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # E1: 1,5 => UNS * INC # F1: 1,5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E1: 1,5 => UNS * INC # F1: 1,5 => UNS * INC # E1: 1,5 # E3: 1,5 => UNS * INC # E1: 1,5 # F3: 1,5 => UNS * INC # E1: 1,5 # E4: 1,5 => UNS * INC # E1: 1,5 # E5: 1,5 => UNS * INC # E1: 1,5 # F2: 2,4 => UNS * INC # E1: 1,5 # F2: 1 => UNS * INC # E1: 1,5 # C1: 2,4 => UNS * INC # E1: 1,5 # C1: 3 => UNS * INC # E1: 1,5 # G2: 2,3 => UNS * INC # E1: 1,5 # I2: 2,3 => UNS * INC # E1: 1,5 # G3: 2,3 => UNS * INC # E1: 1,5 # C1: 2,3 => UNS * INC # E1: 1,5 # C1: 4 => UNS * INC # E1: 1,5 => UNS * INC # F1: 1,5 # D2: 3,4 => UNS * INC # F1: 1,5 # D2: 6 => UNS * INC # F1: 1,5 # C1: 3,4 => UNS * INC # F1: 1,5 # C1: 2 => UNS * INC # F1: 1,5 # E8: 3,4 => UNS * INC # F1: 1,5 # E8: 5 => UNS * INC # F1: 1,5 # E3: 1,5 => UNS * INC # F1: 1,5 # F3: 1,5 => UNS * INC # F1: 1,5 # F4: 1,5 => UNS * INC # F1: 1,5 # F5: 1,5 => UNS * INC # F1: 1,5 # G2: 2,3 => UNS * INC # F1: 1,5 # I2: 2,3 => UNS * INC # F1: 1,5 # G3: 2,3 => UNS * INC # F1: 1,5 # C1: 2,3 => UNS * INC # F1: 1,5 # C1: 4 => UNS * INC # F1: 1,5 => UNS * CNT 32 HDP CHAINS / 32 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I2,I7: 8..:
* INC # I2: 8 # E1: 1,5 => UNS * INC # I2: 8 # F1: 1,5 => UNS * INC # I2: 8 # A2: 1,7 => UNS * INC # I2: 8 # A2: 2,3,6 => UNS * INC # I2: 8 # H6: 1,7 => UNS * INC # I2: 8 # H6: 4,6 => UNS * INC # I2: 8 # I4: 1,9 => UNS * INC # I2: 8 # I4: 2,7 => UNS * INC # I2: 8 # C5: 1,9 => UNS * INC # I2: 8 # F5: 1,9 => UNS * INC # I2: 8 => UNS * INC # I7: 8 # E1: 1,5 => UNS * INC # I7: 8 # F1: 1,5 => UNS * INC # I7: 8 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for H2,H7: 8..:
* INC # H7: 8 # E1: 1,5 => UNS * INC # H7: 8 # F1: 1,5 => UNS * INC # H7: 8 # A2: 1,7 => UNS * INC # H7: 8 # A2: 2,3,6 => UNS * INC # H7: 8 # H6: 1,7 => UNS * INC # H7: 8 # H6: 4,6 => UNS * INC # H7: 8 # I4: 1,9 => UNS * INC # H7: 8 # I4: 2,7 => UNS * INC # H7: 8 # C5: 1,9 => UNS * INC # H7: 8 # F5: 1,9 => UNS * INC # H7: 8 => UNS * INC # H2: 8 # E1: 1,5 => UNS * INC # H2: 8 # F1: 1,5 => UNS * INC # H2: 8 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for H7,I7: 8..:
* INC # H7: 8 # E1: 1,5 => UNS * INC # H7: 8 # F1: 1,5 => UNS * INC # H7: 8 # A2: 1,7 => UNS * INC # H7: 8 # A2: 2,3,6 => UNS * INC # H7: 8 # H6: 1,7 => UNS * INC # H7: 8 # H6: 4,6 => UNS * INC # H7: 8 # I4: 1,9 => UNS * INC # H7: 8 # I4: 2,7 => UNS * INC # H7: 8 # C5: 1,9 => UNS * INC # H7: 8 # F5: 1,9 => UNS * INC # H7: 8 => UNS * INC # I7: 8 # E1: 1,5 => UNS * INC # I7: 8 # F1: 1,5 => UNS * INC # I7: 8 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for H2,I2: 8..:
* INC # I2: 8 # E1: 1,5 => UNS * INC # I2: 8 # F1: 1,5 => UNS * INC # I2: 8 # A2: 1,7 => UNS * INC # I2: 8 # A2: 2,3,6 => UNS * INC # I2: 8 # H6: 1,7 => UNS * INC # I2: 8 # H6: 4,6 => UNS * INC # I2: 8 # I4: 1,9 => UNS * INC # I2: 8 # I4: 2,7 => UNS * INC # I2: 8 # C5: 1,9 => UNS * INC # I2: 8 # F5: 1,9 => UNS * INC # I2: 8 => UNS * INC # H2: 8 # E1: 1,5 => UNS * INC # H2: 8 # F1: 1,5 => UNS * INC # H2: 8 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for C3,C9: 7..:
* INC # C9: 7 # E1: 1,5 => UNS * INC # C9: 7 # F1: 1,5 => UNS * INC # C9: 7 # G7: 4,5 => UNS * INC # C9: 7 # H7: 4,5 => UNS * INC # C9: 7 # G8: 4,5 => UNS * INC # C9: 7 # B9: 4,5 => UNS * INC # C9: 7 # D9: 4,5 => UNS * INC # C9: 7 # G7: 3,9 => UNS * DIS # C9: 7 # I7: 3,9 => CTR => I7: 6,8 * INC # C9: 7 + I7: 6,8 # G8: 3,9 => UNS * INC # C9: 7 + I7: 6,8 # I8: 3,9 => UNS * INC # C9: 7 + I7: 6,8 # B9: 3,9 => UNS * INC # C9: 7 + I7: 6,8 # D9: 3,9 => UNS * INC # C9: 7 + I7: 6,8 # G7: 3,9 => UNS * INC # C9: 7 + I7: 6,8 # G8: 3,9 => UNS * INC # C9: 7 + I7: 6,8 # I8: 3,9 => UNS * INC # C9: 7 + I7: 6,8 # B9: 3,9 => UNS * INC # C9: 7 + I7: 6,8 # D9: 3,9 => UNS * INC # C9: 7 + I7: 6,8 # E1: 1,5 => UNS * INC # C9: 7 + I7: 6,8 # F1: 1,5 => UNS * INC # C9: 7 + I7: 6,8 # H7: 6,8 => UNS * INC # C9: 7 + I7: 6,8 # H7: 4,5 => UNS * INC # C9: 7 + I7: 6,8 # G7: 4,5 => UNS * INC # C9: 7 + I7: 6,8 # H7: 4,5 => UNS * INC # C9: 7 + I7: 6,8 # G8: 4,5 => UNS * INC # C9: 7 + I7: 6,8 # B9: 4,5 => UNS * INC # C9: 7 + I7: 6,8 # D9: 4,5 => UNS * INC # C9: 7 + I7: 6,8 # G7: 3,9 => UNS * INC # C9: 7 + I7: 6,8 # G8: 3,9 => UNS * INC # C9: 7 + I7: 6,8 # I8: 3,9 => UNS * INC # C9: 7 + I7: 6,8 # B9: 3,9 => UNS * INC # C9: 7 + I7: 6,8 # D9: 3,9 => UNS * INC # C9: 7 + I7: 6,8 => UNS * INC # C3: 7 # E1: 1,5 => UNS * INC # C3: 7 # F1: 1,5 => UNS * INC # C3: 7 => UNS * CNT 36 HDP CHAINS / 36 HYP OPENED
Full list of HDP chains traversed for B4,A5: 5..:
* INC # A5: 5 # B2: 2,4 => UNS * INC # A5: 5 # B2: 3,6 => UNS * INC # A5: 5 # F1: 2,4 => UNS * INC # A5: 5 # F1: 1,5 => UNS * INC # A5: 5 # C9: 2,4 => UNS * INC # A5: 5 # C9: 7,9 => UNS * INC # A5: 5 # E1: 1,5 => UNS * INC # A5: 5 # F1: 1,5 => UNS * INC # A5: 5 # A8: 3,6 => UNS * INC # A5: 5 # B8: 3,6 => UNS * INC # A5: 5 # I7: 3,6 => UNS * INC # A5: 5 # I7: 8,9 => UNS * INC # A5: 5 # A2: 3,6 => UNS * INC # A5: 5 # A3: 3,6 => UNS * INC # A5: 5 => UNS * INC # B4: 5 # E1: 1,5 => UNS * INC # B4: 5 # F1: 1,5 => UNS * INC # B4: 5 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for H1,G3: 5..:
* INC # G3: 5 # G2: 2,3 => UNS * INC # G3: 5 # I2: 2,3 => UNS * INC # G3: 5 # C1: 2,3 => UNS * INC # G3: 5 # C1: 4 => UNS * INC # G3: 5 # I2: 7,8 => UNS * INC # G3: 5 # I2: 2,3 => UNS * INC # G3: 5 # H6: 4,6 => UNS * INC # G3: 5 # H6: 7 => UNS * INC # G3: 5 # E5: 4,6 => UNS * INC # G3: 5 # E5: 1,5 => UNS * INC # G3: 5 # H7: 4,6 => UNS * INC # G3: 5 # H7: 5,8 => UNS * INC # G3: 5 => UNS * INC # H1: 5 # G8: 4,7 => UNS * INC # H1: 5 # G8: 3,5,9 => UNS * INC # H1: 5 # C9: 4,7 => UNS * INC # H1: 5 # C9: 2,3,9 => UNS * INC # H1: 5 # H6: 4,7 => UNS * INC # H1: 5 # H6: 1,6 => UNS * INC # H1: 5 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for C1,B2: 4..:
* INC # B2: 4 # D3: 3,6 => UNS * INC # B2: 4 # E3: 3,6 => UNS * INC # B2: 4 # A2: 3,6 => UNS * INC # B2: 4 # A2: 1,2,7 => UNS * INC # B2: 4 # F1: 1,2 => UNS * INC # B2: 4 # F3: 1,2 => UNS * INC # B2: 4 # A2: 1,2 => UNS * INC # B2: 4 # I2: 1,2 => UNS * INC # B2: 4 # E1: 1,5 => UNS * INC # B2: 4 # F1: 1,5 => UNS * INC # B2: 4 => UNS * INC # C1: 4 # E1: 1,5 => UNS * INC # C1: 4 # F1: 1,5 => UNS * INC # C1: 4 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for E4,E6: 7..:
* INC # E4: 7 # E1: 1,5 => UNS * INC # E4: 7 # F1: 1,5 => UNS * INC # E4: 7 # I4: 2,9 => UNS * INC # E4: 7 # G6: 2,9 => UNS * INC # E4: 7 # B4: 2,9 => UNS * INC # E4: 7 # C4: 2,9 => UNS * INC # E4: 7 => UNS * INC # E6: 7 # E1: 1,5 => UNS * INC # E6: 7 # F1: 1,5 => UNS * INC # E6: 7 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for A5,C5: 3..:
* INC # A5: 3 # E1: 1,5 => UNS * INC # A5: 3 # F1: 1,5 => UNS * INC # A5: 3 # A8: 5,6 => UNS * INC # A5: 3 # A8: 7 => UNS * INC # A5: 3 # H7: 5,6 => UNS * INC # A5: 3 # H7: 4,8 => UNS * INC # A5: 3 => UNS * INC # C5: 3 # E1: 1,5 => UNS * INC # C5: 3 # F1: 1,5 => UNS * INC # C5: 3 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for F3,F4: 8..:
* INC # F3: 8 # E1: 1,5 => UNS * INC # F3: 8 # F1: 1,5 => UNS * INC # F3: 8 => UNS * INC # F4: 8 # E1: 1,5 => UNS * INC # F4: 8 # F1: 1,5 => UNS * INC # F4: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for D3,D4: 8..:
* INC # D3: 8 # E1: 1,5 => UNS * INC # D3: 8 # F1: 1,5 => UNS * INC # D3: 8 => UNS * INC # D4: 8 # E1: 1,5 => UNS * INC # D4: 8 # F1: 1,5 => UNS * INC # D4: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for D4,F4: 8..:
* INC # D4: 8 # E1: 1,5 => UNS * INC # D4: 8 # F1: 1,5 => UNS * INC # D4: 8 => UNS * INC # F4: 8 # E1: 1,5 => UNS * INC # F4: 8 # F1: 1,5 => UNS * INC # F4: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for D3,F3: 8..:
* INC # D3: 8 # E1: 1,5 => UNS * INC # D3: 8 # F1: 1,5 => UNS * INC # D3: 8 => UNS * INC # F3: 8 # E1: 1,5 => UNS * INC # F3: 8 # F1: 1,5 => UNS * INC # F3: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A5. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for I2,I7: 8..:
* INC # I2: 8 # E1: 1,5 => UNS * INC # I2: 8 # F1: 1,5 => UNS * INC # I2: 8 # A2: 1,7 => UNS * INC # I2: 8 # A2: 2,3,6 => UNS * INC # I2: 8 # H6: 1,7 => UNS * INC # I2: 8 # H6: 4,6 => UNS * INC # I2: 8 # I4: 1,9 => UNS * INC # I2: 8 # I4: 2,7 => UNS * INC # I2: 8 # C5: 1,9 => UNS * INC # I2: 8 # F5: 1,9 => UNS * INC # I2: 8 # E1: 1,5 # E3: 1,5 => UNS * INC # I2: 8 # E1: 1,5 # F3: 1,5 => UNS * INC # I2: 8 # E1: 1,5 # E4: 1,5 => UNS * INC # I2: 8 # E1: 1,5 # E5: 1,5 => UNS * INC # I2: 8 # E1: 1,5 # F2: 2,4 => UNS * INC # I2: 8 # E1: 1,5 # F2: 1 => UNS * INC # I2: 8 # E1: 1,5 # C1: 2,4 => UNS * INC # I2: 8 # E1: 1,5 # C1: 3 => UNS * INC # I2: 8 # E1: 1,5 # G2: 2,3 => UNS * INC # I2: 8 # E1: 1,5 # G3: 2,3 => UNS * INC # I2: 8 # E1: 1,5 # C1: 2,3 => UNS * INC # I2: 8 # E1: 1,5 # C1: 4 => UNS * INC # I2: 8 # E1: 1,5 # A2: 1,7 => UNS * INC # I2: 8 # E1: 1,5 # A2: 2,3,6 => UNS * INC # I2: 8 # E1: 1,5 # H6: 4,6 => UNS * PRF # I2: 8 # E1: 1,5 # H6: 7 => SOL * STA # I2: 8 # E1: 1,5 + H6: 7 * CNT 26 HDP CHAINS / 28 HYP OPENED