Analysis of xx-ph-00247976-12_12_03-base.sdk
Contents
Original Sudoku
level: deep
position: ........1.....2.3....45.6....1..3....6.57....75..8......6...8....9....23.7.8..4.. initial
Autosolve
position: ........1.....2.3....45.6....1..3....6.57....75..8......6...8....9....23.7.8..4.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000010
List of important HDP chains detected for F1,F3: 8..:
* DIS # F3: 8 # H4: 4,8 => CTR => H4: 5,6,7,9 * DIS # F3: 8 + H4: 5,6,7,9 # I4: 4,8 => CTR => I4: 2,5,6,7,9 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 # I3: 7,9 => CTR => I3: 2 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 # H4: 7,9 => CTR => H4: 5,6 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 # H7: 1,5 => CTR => H7: 7,9 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 # F8: 1,7 => CTR => F8: 4,5,6 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 + F8: 4,5,6 # D8: 6 => CTR => D8: 1,7 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 + F8: 4,5,6 + D8: 1,7 # A1: 4,9 => CTR => A1: 2,5,6 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 + F8: 4,5,6 + D8: 1,7 + A1: 2,5,6 # B1: 4,9 => CTR => B1: 2 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 + F8: 4,5,6 + D8: 1,7 + A1: 2,5,6 + B1: 2 # A2: 4,9 => CTR => A2: 5,6 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 + F8: 4,5,6 + D8: 1,7 + A1: 2,5,6 + B1: 2 + A2: 5,6 => CTR => F3: 1,7,9 * STA F3: 1,7,9 * CNT 11 HDP CHAINS / 41 HYP OPENED
List of important HDP chains detected for A8,B8: 8..:
* DIS # A8: 8 # F8: 1,4 => CTR => F8: 5,6,7 * CNT 1 HDP CHAINS / 22 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.....2.3....45.6....1..3....6.57....75..8......6...8....9....23.7.8..4.. | initial |
| ........1.....2.3....45.6....1..3....6.57....75..8......6...8....9....23.7.8..4.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G1,I3: 2.. / G1 = 2 => 0 pairs (_) / I3 = 2 => 0 pairs (_) D1,E1: 3.. / D1 = 3 => 1 pairs (_) / E1 = 3 => 0 pairs (_) G5,G6: 3.. / G5 = 3 => 1 pairs (_) / G6 = 3 => 1 pairs (_) C6,G6: 3.. / C6 = 3 => 1 pairs (_) / G6 = 3 => 1 pairs (_) B3,B7: 3.. / B3 = 3 => 0 pairs (_) / B7 = 3 => 2 pairs (_) D1,D7: 3.. / D1 = 3 => 1 pairs (_) / D7 = 3 => 0 pairs (_) H1,I2: 4.. / H1 = 4 => 0 pairs (_) / I2 = 4 => 0 pairs (_) A1,A2: 6.. / A1 = 6 => 1 pairs (_) / A2 = 6 => 1 pairs (_) H9,I9: 6.. / H9 = 6 => 1 pairs (_) / I9 = 6 => 0 pairs (_) F1,F3: 8.. / F1 = 8 => 0 pairs (_) / F3 = 8 => 4 pairs (_) A8,B8: 8.. / A8 = 8 => 1 pairs (_) / B8 = 8 => 0 pairs (_) * DURATION: 0:00:07.990702 START: 04:29:27.337754 END: 04:29:35.328456 2020-09-23 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F1,F3: 8.. / F1 = 8 => 0 pairs (_) / F3 = 8 ==> 0 pairs (X) B3,B7: 3.. / B3 = 3 ==> 0 pairs (_) / B7 = 3 ==> 2 pairs (_) A1,A2: 6.. / A1 = 6 ==> 1 pairs (_) / A2 = 6 ==> 1 pairs (_) C6,G6: 3.. / C6 = 3 ==> 1 pairs (_) / G6 = 3 ==> 1 pairs (_) G5,G6: 3.. / G5 = 3 ==> 1 pairs (_) / G6 = 3 ==> 1 pairs (_) A8,B8: 8.. / A8 = 8 ==> 1 pairs (_) / B8 = 8 ==> 0 pairs (_) H9,I9: 6.. / H9 = 6 ==> 1 pairs (_) / I9 = 6 ==> 0 pairs (_) D1,D7: 3.. / D1 = 3 ==> 1 pairs (_) / D7 = 3 ==> 0 pairs (_) D1,E1: 3.. / D1 = 3 ==> 1 pairs (_) / E1 = 3 ==> 0 pairs (_) H1,I2: 4.. / H1 = 4 ==> 0 pairs (_) / I2 = 4 ==> 0 pairs (_) G1,I3: 2.. / G1 = 2 ==> 0 pairs (_) / I3 = 2 ==> 0 pairs (_) * DURATION: 0:01:19.345727 START: 04:29:35.329451 END: 04:30:54.675178 2020-09-23 * REASONING F1,F3: 8.. * DIS # F3: 8 # H4: 4,8 => CTR => H4: 5,6,7,9 * DIS # F3: 8 + H4: 5,6,7,9 # I4: 4,8 => CTR => I4: 2,5,6,7,9 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 # I3: 7,9 => CTR => I3: 2 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 # H4: 7,9 => CTR => H4: 5,6 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 # H7: 1,5 => CTR => H7: 7,9 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 # F8: 1,7 => CTR => F8: 4,5,6 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 + F8: 4,5,6 # D8: 6 => CTR => D8: 1,7 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 + F8: 4,5,6 + D8: 1,7 # A1: 4,9 => CTR => A1: 2,5,6 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 + F8: 4,5,6 + D8: 1,7 + A1: 2,5,6 # B1: 4,9 => CTR => B1: 2 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 + F8: 4,5,6 + D8: 1,7 + A1: 2,5,6 + B1: 2 # A2: 4,9 => CTR => A2: 5,6 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 + F8: 4,5,6 + D8: 1,7 + A1: 2,5,6 + B1: 2 + A2: 5,6 => CTR => F3: 1,7,9 * STA F3: 1,7,9 * CNT 11 HDP CHAINS / 41 HYP OPENED * REASONING A8,B8: 8.. * DIS # A8: 8 # F8: 1,4 => CTR => F8: 5,6,7 * CNT 1 HDP CHAINS / 22 HYP OPENED * DCP COUNT: (11) * CLUE FOUND
Header Info
247976;12_12_03;dob;22;11.60;11.60;2.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F1,F3: 8..:
* INC # F3: 8 # A1: 4,8 => UNS * INC # F3: 8 # B1: 4,8 => UNS * INC # F3: 8 # C1: 4,8 => UNS * DIS # F3: 8 # H4: 4,8 => CTR => H4: 5,6,7,9 * INC # F3: 8 + H4: 5,6,7,9 # H5: 4,8 => UNS * INC # F3: 8 + H4: 5,6,7,9 # H5: 4,8 => UNS * INC # F3: 8 + H4: 5,6,7,9 # H5: 1,9 => UNS * INC # F3: 8 + H4: 5,6,7,9 # A1: 4,8 => UNS * INC # F3: 8 + H4: 5,6,7,9 # B1: 4,8 => UNS * INC # F3: 8 + H4: 5,6,7,9 # C1: 4,8 => UNS * INC # F3: 8 + H4: 5,6,7,9 # H5: 4,8 => UNS * INC # F3: 8 + H4: 5,6,7,9 # H5: 1,9 => UNS * INC # F3: 8 + H4: 5,6,7,9 # A2: 4,8 => UNS * INC # F3: 8 + H4: 5,6,7,9 # B2: 4,8 => UNS * INC # F3: 8 + H4: 5,6,7,9 # C2: 4,8 => UNS * DIS # F3: 8 + H4: 5,6,7,9 # I4: 4,8 => CTR => I4: 2,5,6,7,9 * INC # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 # I5: 4,8 => UNS * INC # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 # I5: 4,8 => UNS * INC # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 # I5: 2,9 => UNS * INC # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 # C2: 4,8 => UNS * INC # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 # C2: 5,7 => UNS * INC # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 # I5: 4,8 => UNS * INC # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 # I5: 2,9 => UNS * INC # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 # G1: 7,9 => UNS * INC # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 # G2: 7,9 => UNS * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 # I3: 7,9 => CTR => I3: 2 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 # H4: 7,9 => CTR => H4: 5,6 * INC # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 # H7: 7,9 => UNS * INC # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 # H7: 7,9 => UNS * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 # H7: 1,5 => CTR => H7: 7,9 * INC # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 # G1: 7,9 => UNS * INC # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 # G2: 7,9 => UNS * INC # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 # D8: 1,7 => UNS * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 # F8: 1,7 => CTR => F8: 4,5,6 * INC # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 + F8: 4,5,6 # D8: 1,7 => UNS * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 + F8: 4,5,6 # D8: 6 => CTR => D8: 1,7 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 + F8: 4,5,6 + D8: 1,7 # A1: 4,9 => CTR => A1: 2,5,6 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 + F8: 4,5,6 + D8: 1,7 + A1: 2,5,6 # B1: 4,9 => CTR => B1: 2 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 + F8: 4,5,6 + D8: 1,7 + A1: 2,5,6 + B1: 2 # A2: 4,9 => CTR => A2: 5,6 * DIS # F3: 8 + H4: 5,6,7,9 + I4: 2,5,6,7,9 + I3: 2 + H4: 5,6 + H7: 7,9 + F8: 4,5,6 + D8: 1,7 + A1: 2,5,6 + B1: 2 + A2: 5,6 => CTR => F3: 1,7,9 * INC F3: 1,7,9 # F1: 8 => UNS * STA F3: 1,7,9 * CNT 41 HDP CHAINS / 41 HYP OPENED
Full list of HDP chains traversed for B3,B7: 3..:
* INC # B7: 3 # F1: 6,9 => UNS * INC # B7: 3 # D2: 6,9 => UNS * INC # B7: 3 # E2: 6,9 => UNS * INC # B7: 3 # A1: 6,9 => UNS * INC # B7: 3 # A1: 2,4,5,8 => UNS * INC # B7: 3 # E4: 6,9 => UNS * INC # B7: 3 # E4: 2,4 => UNS * INC # B7: 3 # A9: 2,5 => UNS * INC # B7: 3 # A9: 1 => UNS * INC # B7: 3 # C1: 2,5 => UNS * INC # B7: 3 # C1: 4,7,8 => UNS * INC # B7: 3 => UNS * INC # B3: 3 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for A1,A2: 6..:
* INC # A1: 6 # D1: 3,9 => UNS * INC # A1: 6 # D1: 7 => UNS * INC # A1: 6 # E7: 3,9 => UNS * INC # A1: 6 # E9: 3,9 => UNS * INC # A1: 6 => UNS * INC # A2: 6 # D2: 1,9 => UNS * INC # A2: 6 # F3: 1,9 => UNS * INC # A2: 6 # B2: 1,9 => UNS * INC # A2: 6 # B2: 4,8 => UNS * INC # A2: 6 # E7: 1,9 => UNS * INC # A2: 6 # E9: 1,9 => UNS * INC # A2: 6 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for C6,G6: 3..:
* INC # C6: 3 # A7: 2,5 => UNS * INC # C6: 3 # A9: 2,5 => UNS * INC # C6: 3 # C1: 2,5 => UNS * INC # C6: 3 # C1: 4,7,8 => UNS * INC # C6: 3 => UNS * INC # G6: 3 # A4: 2,4 => UNS * INC # G6: 3 # B4: 2,4 => UNS * INC # G6: 3 # A5: 2,4 => UNS * INC # G6: 3 # C5: 2,4 => UNS * INC # G6: 3 # I6: 2,4 => UNS * INC # G6: 3 # I6: 6,9 => UNS * INC # G6: 3 # C1: 2,4 => UNS * INC # G6: 3 # C1: 5,7,8 => UNS * INC # G6: 3 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for G5,G6: 3..:
* INC # G5: 3 # A7: 2,5 => UNS * INC # G5: 3 # A9: 2,5 => UNS * INC # G5: 3 # C1: 2,5 => UNS * INC # G5: 3 # C1: 4,7,8 => UNS * INC # G5: 3 => UNS * INC # G6: 3 # A4: 2,4 => UNS * INC # G6: 3 # B4: 2,4 => UNS * INC # G6: 3 # A5: 2,4 => UNS * INC # G6: 3 # C5: 2,4 => UNS * INC # G6: 3 # I6: 2,4 => UNS * INC # G6: 3 # I6: 6,9 => UNS * INC # G6: 3 # C1: 2,4 => UNS * INC # G6: 3 # C1: 5,7,8 => UNS * INC # G6: 3 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for A8,B8: 8..:
* INC # A8: 8 # A7: 1,4 => UNS * INC # A8: 8 # B7: 1,4 => UNS * INC # A8: 8 # E8: 1,4 => UNS * DIS # A8: 8 # F8: 1,4 => CTR => F8: 5,6,7 * INC # A8: 8 + F8: 5,6,7 # E8: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # E8: 6 => UNS * INC # A8: 8 + F8: 5,6,7 # B2: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # B2: 8,9 => UNS * INC # A8: 8 + F8: 5,6,7 # A7: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # B7: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # E8: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # E8: 6 => UNS * INC # A8: 8 + F8: 5,6,7 # B2: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # B2: 8,9 => UNS * INC # A8: 8 + F8: 5,6,7 # A7: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # B7: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # E8: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # E8: 6 => UNS * INC # A8: 8 + F8: 5,6,7 # B2: 1,4 => UNS * INC # A8: 8 + F8: 5,6,7 # B2: 8,9 => UNS * INC # A8: 8 + F8: 5,6,7 => UNS * INC # B8: 8 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for H9,I9: 6..:
* INC # H9: 6 # H7: 5,9 => UNS * INC # H9: 6 # I7: 5,9 => UNS * INC # H9: 6 # F9: 5,9 => UNS * INC # H9: 6 # F9: 1 => UNS * INC # H9: 6 # I2: 5,9 => UNS * INC # H9: 6 # I4: 5,9 => UNS * INC # H9: 6 => UNS * INC # I9: 6 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for D1,D7: 3..:
* INC # D1: 3 # F1: 6,9 => UNS * INC # D1: 3 # D2: 6,9 => UNS * INC # D1: 3 # E2: 6,9 => UNS * INC # D1: 3 # A1: 6,9 => UNS * INC # D1: 3 # A1: 2,4,5,8 => UNS * INC # D1: 3 # E4: 6,9 => UNS * INC # D1: 3 # E4: 2,4 => UNS * INC # D1: 3 => UNS * INC # D7: 3 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for D1,E1: 3..:
* INC # D1: 3 # F1: 6,9 => UNS * INC # D1: 3 # D2: 6,9 => UNS * INC # D1: 3 # E2: 6,9 => UNS * INC # D1: 3 # A1: 6,9 => UNS * INC # D1: 3 # A1: 2,4,5,8 => UNS * INC # D1: 3 # E4: 6,9 => UNS * INC # D1: 3 # E4: 2,4 => UNS * INC # D1: 3 => UNS * INC # E1: 3 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for H1,I2: 4..:
* INC # H1: 4 => UNS * INC # I2: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for G1,I3: 2..:
* INC # G1: 2 => UNS * INC # I3: 2 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED