Analysis of xx-ph-00016644-Kz1_b-base.sdk
Original Sudoku
level: deep
position: 98.7..6....5.9..4......3..93..9......7...8.....2.5..6..5.....1...1...2.6....6.4.. initial
Autosolve
position: 98.7..6....5.9..4......3..93..9.....57...8.....2.5..6..5.....1...1...2.6....6.4.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:04.178120
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000017
List of important HDP chains detected for F2,F4: 6..:
* DIS # F4: 6 # F1: 1,2 => CTR => F1: 4,5 * DIS # F4: 6 + F1: 4,5 # D2: 1,2 => CTR => D2: 6,8 * DIS # F4: 6 + F1: 4,5 + D2: 6,8 # D3: 1,2 => CTR => D3: 4,5,6,8 * DIS # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 # B2: 1,2 => CTR => B2: 3,6 * DIS # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 # I2: 1,2 => CTR => I2: 3,7,8 * DIS # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 # A2: 7 => CTR => A2: 1,2 * PRF # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 + A2: 1,2 # A6: 1 => SOL * STA # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 + A2: 1,2 + A6: 1 * CNT 7 HDP CHAINS / 27 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..4......3..93..9......7...8.....2.5..6..5.....1...1...2.6....6.4.. | initial |
| 98.7..6....5.9..4......3..93..9.....57...8.....2.5..6..5.....1...1...2.6....6.4.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) C1: 3,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D9,F9: 1.. / D9 = 1 => 2 pairs (_) / F9 = 1 => 3 pairs (_) C1,B2: 3.. / C1 = 3 => 1 pairs (_) / B2 = 3 => 6 pairs (_) F1,D3: 5.. / F1 = 5 => 2 pairs (_) / D3 = 5 => 1 pairs (_) G3,G4: 5.. / G3 = 5 => 2 pairs (_) / G4 = 5 => 1 pairs (_) F4,D5: 6.. / F4 = 6 => 7 pairs (_) / D5 = 6 => 2 pairs (_) A7,C7: 6.. / A7 = 6 => 1 pairs (_) / C7 = 6 => 6 pairs (_) C5,D5: 6.. / C5 = 6 => 7 pairs (_) / D5 = 6 => 2 pairs (_) F2,F4: 6.. / F2 = 6 => 2 pairs (_) / F4 = 6 => 7 pairs (_) C4,A6: 8.. / C4 = 8 => 2 pairs (_) / A6 = 8 => 4 pairs (_) C5,B6: 9.. / C5 = 9 => 4 pairs (_) / B6 = 9 => 4 pairs (_) B6,G6: 9.. / B6 = 9 => 4 pairs (_) / G6 = 9 => 4 pairs (_) * DURATION: 0:00:08.569111 START: 22:53:53.842544 END: 22:54:02.411655 2020-12-04 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F2,F4: 6.. / F2 = 6 => 0 pairs (X) / F4 = 6 ==> 0 pairs (*) * DURATION: 0:00:28.179803 START: 22:54:08.780149 END: 22:54:36.959952 2020-12-04 * REASONING F2,F4: 6.. * DIS # F4: 6 # F1: 1,2 => CTR => F1: 4,5 * DIS # F4: 6 + F1: 4,5 # D2: 1,2 => CTR => D2: 6,8 * DIS # F4: 6 + F1: 4,5 + D2: 6,8 # D3: 1,2 => CTR => D3: 4,5,6,8 * DIS # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 # B2: 1,2 => CTR => B2: 3,6 * DIS # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 # I2: 1,2 => CTR => I2: 3,7,8 * DIS # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 # A2: 7 => CTR => A2: 1,2 * PRF # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 + A2: 1,2 # A6: 1 => SOL * STA # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 + A2: 1,2 + A6: 1 * CNT 7 HDP CHAINS / 27 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
16644;Kz1 b;GP;23;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # C7: 3,4 => UNS * INC # C7: 6,7,8,9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C7: 3,4 => UNS * INC # C7: 6,7,8,9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # C7: 3,4 => UNS * INC # C7: 6,7,8,9 => UNS * INC # C7: 3,4 # B8: 3,4 => UNS * INC # C7: 3,4 # B8: 9 => UNS * INC # C7: 3,4 # D7: 3,4 => UNS * INC # C7: 3,4 # E7: 3,4 => UNS * INC # C7: 3,4 => UNS * INC # C7: 6,7,8,9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F2,F4: 6..:
* INC # F4: 6 # C7: 3,4 => UNS * INC # F4: 6 # C7: 7,8,9 => UNS * INC # F4: 6 # A3: 4,7 => UNS * INC # F4: 6 # A3: 1,2 => UNS * INC # F4: 6 # C7: 4,7 => UNS * INC # F4: 6 # C7: 3,8,9 => UNS * INC # F4: 6 # E1: 1,2 => UNS * DIS # F4: 6 # F1: 1,2 => CTR => F1: 4,5 * DIS # F4: 6 + F1: 4,5 # D2: 1,2 => CTR => D2: 6,8 * DIS # F4: 6 + F1: 4,5 + D2: 6,8 # D3: 1,2 => CTR => D3: 4,5,6,8 * INC # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 # E3: 1,2 => UNS * INC # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 # A2: 1,2 => UNS * DIS # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 # B2: 1,2 => CTR => B2: 3,6 * DIS # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 # I2: 1,2 => CTR => I2: 3,7,8 * INC # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 # A2: 1,2 => UNS * DIS # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 # A2: 7 => CTR => A2: 1,2 * INC # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 + A2: 1,2 # E1: 1,2 => UNS * INC # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 + A2: 1,2 # E3: 1,2 => UNS * INC # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 + A2: 1,2 # A6: 1,4 => UNS * INC # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 + A2: 1,2 # A6: 8 => UNS * INC # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 + A2: 1,2 # E4: 1,4 => UNS * INC # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 + A2: 1,2 # I4: 1,4 => UNS * INC # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 + A2: 1,2 # B3: 1,4 => UNS * INC # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 + A2: 1,2 # B3: 2,6 => UNS * INC # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 + A2: 1,2 # A6: 4,8 => UNS * PRF # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 + A2: 1,2 # A6: 1 => SOL * STA # F4: 6 + F1: 4,5 + D2: 6,8 + D3: 4,5,6,8 + B2: 3,6 + I2: 3,7,8 + A2: 1,2 + A6: 1 * CNT 26 HDP CHAINS / 27 HYP OPENED