Analysis of xx-ph-00020476-KZ1C-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..5...4......3..9.2.4...8.....7.59.........6..1.5.....92..9..21.........3. initial
Autosolve
position: 98.7..6..5...4......3..9.2.4...8.....7.59.........6..1.5.....92..9..21.....9...3. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for E1,E6: 2..:
* DIS # E6: 2 # C2: 1,6 => CTR => C2: 7 * DIS # E6: 2 + C2: 7 # A5: 2,6 => CTR => A5: 3,8 * DIS # E6: 2 + C2: 7 + A5: 3,8 # G6: 3,8 => CTR => G6: 4,7 * DIS # E6: 2 + C2: 7 + A5: 3,8 + G6: 4,7 # F5: 1,3 => CTR => F5: 4 * DIS # E6: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 # F1: 1,3 => CTR => F1: 5 * DIS # E6: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 + F1: 5 => CTR => E6: 3,7 * STA E6: 3,7 * CNT 6 HDP CHAINS / 8 HYP OPENED
List of important HDP chains detected for C1,E1: 2..:
* DIS # C1: 2 # C2: 1,6 => CTR => C2: 7 * DIS # C1: 2 + C2: 7 # A5: 2,6 => CTR => A5: 3,8 * DIS # C1: 2 + C2: 7 + A5: 3,8 # G6: 3,8 => CTR => G6: 4,7 * DIS # C1: 2 + C2: 7 + A5: 3,8 + G6: 4,7 # F5: 1,3 => CTR => F5: 4 * DIS # C1: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 # F1: 1,3 => CTR => F1: 5 * DIS # C1: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 + F1: 5 => CTR => C1: 1,4 * STA C1: 1,4 * CNT 6 HDP CHAINS / 8 HYP OPENED
List of important HDP chains detected for E1,D2: 2..:
* DIS # D2: 2 # C2: 1,6 => CTR => C2: 7 * DIS # D2: 2 + C2: 7 # A5: 2,6 => CTR => A5: 3,8 * DIS # D2: 2 + C2: 7 + A5: 3,8 # G6: 3,8 => CTR => G6: 4,7 * DIS # D2: 2 + C2: 7 + A5: 3,8 + G6: 4,7 # F5: 1,3 => CTR => F5: 4 * DIS # D2: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 # F1: 1,3 => CTR => F1: 5 * DIS # D2: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 + F1: 5 => CTR => D2: 1,3,6,8 * STA D2: 1,3,6,8 * CNT 6 HDP CHAINS / 8 HYP OPENED
List of important HDP chains detected for C1,B3: 4..:
* DIS # C1: 4 # A3: 1,6 => CTR => A3: 7 * DIS # C1: 4 + A3: 7 # D3: 1,6 => CTR => D3: 8 * DIS # C1: 4 + A3: 7 + D3: 8 # E7: 3,7 => CTR => E7: 1,6 * PRF # C1: 4 + A3: 7 + D3: 8 + E7: 1,6 # E8: 5 => SOL * STA # C1: 4 + A3: 7 + D3: 8 + E7: 1,6 + E8: 5 * CNT 4 HDP CHAINS / 19 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...4......3..9.2.4...8.....7.59.........6..1.5.....92..9..21.........3. | initial |
| 98.7..6..5...4......3..9.2.4...8.....7.59.........6..1.5.....92..9..21.....9...3. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H1,H2: 1.. / H1 = 1 => 3 pairs (_) / H2 = 1 => 3 pairs (_) E1,D2: 2.. / E1 = 2 => 2 pairs (_) / D2 = 2 => 9 pairs (_) C1,E1: 2.. / C1 = 2 => 9 pairs (_) / E1 = 2 => 2 pairs (_) E1,E6: 2.. / E1 = 2 => 2 pairs (_) / E6 = 2 => 9 pairs (_) C1,B3: 4.. / C1 = 4 => 4 pairs (_) / B3 = 4 => 2 pairs (_) F5,D6: 4.. / F5 = 4 => 2 pairs (_) / D6 = 4 => 1 pairs (_) C4,C6: 5.. / C4 = 5 => 2 pairs (_) / C6 = 5 => 0 pairs (_) F1,F9: 5.. / F1 = 5 => 3 pairs (_) / F9 = 5 => 1 pairs (_) C2,A3: 7.. / C2 = 7 => 4 pairs (_) / A3 = 7 => 0 pairs (_) F4,E6: 7.. / F4 = 7 => 2 pairs (_) / E6 = 7 => 2 pairs (_) G2,I2: 9.. / G2 = 9 => 0 pairs (_) / I2 = 9 => 0 pairs (_) B4,B6: 9.. / B4 = 9 => 1 pairs (_) / B6 = 9 => 0 pairs (_) B6,G6: 9.. / B6 = 9 => 0 pairs (_) / G6 = 9 => 1 pairs (_) I2,I4: 9.. / I2 = 9 => 0 pairs (_) / I4 = 9 => 0 pairs (_) * DURATION: 0:00:08.115815 START: 04:01:53.688221 END: 04:02:01.804036 2020-12-07 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E1,E6: 2.. / E1 = 2 => 2 pairs (_) / E6 = 2 ==> 0 pairs (X) C1,E1: 2.. / C1 = 2 ==> 0 pairs (X) / E1 = 2 => 2 pairs (_) E1,D2: 2.. / E1 = 2 => 2 pairs (_) / D2 = 2 ==> 0 pairs (X) C1,B3: 4.. / C1 = 4 ==> 0 pairs (*) / B3 = 4 => 0 pairs (X) * DURATION: 0:00:37.403960 START: 04:02:01.804615 END: 04:02:39.208575 2020-12-07 * REASONING E1,E6: 2.. * DIS # E6: 2 # C2: 1,6 => CTR => C2: 7 * DIS # E6: 2 + C2: 7 # A5: 2,6 => CTR => A5: 3,8 * DIS # E6: 2 + C2: 7 + A5: 3,8 # G6: 3,8 => CTR => G6: 4,7 * DIS # E6: 2 + C2: 7 + A5: 3,8 + G6: 4,7 # F5: 1,3 => CTR => F5: 4 * DIS # E6: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 # F1: 1,3 => CTR => F1: 5 * DIS # E6: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 + F1: 5 => CTR => E6: 3,7 * STA E6: 3,7 * CNT 6 HDP CHAINS / 8 HYP OPENED * REASONING C1,E1: 2.. * DIS # C1: 2 # C2: 1,6 => CTR => C2: 7 * DIS # C1: 2 + C2: 7 # A5: 2,6 => CTR => A5: 3,8 * DIS # C1: 2 + C2: 7 + A5: 3,8 # G6: 3,8 => CTR => G6: 4,7 * DIS # C1: 2 + C2: 7 + A5: 3,8 + G6: 4,7 # F5: 1,3 => CTR => F5: 4 * DIS # C1: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 # F1: 1,3 => CTR => F1: 5 * DIS # C1: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 + F1: 5 => CTR => C1: 1,4 * STA C1: 1,4 * CNT 6 HDP CHAINS / 8 HYP OPENED * REASONING E1,D2: 2.. * DIS # D2: 2 # C2: 1,6 => CTR => C2: 7 * DIS # D2: 2 + C2: 7 # A5: 2,6 => CTR => A5: 3,8 * DIS # D2: 2 + C2: 7 + A5: 3,8 # G6: 3,8 => CTR => G6: 4,7 * DIS # D2: 2 + C2: 7 + A5: 3,8 + G6: 4,7 # F5: 1,3 => CTR => F5: 4 * DIS # D2: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 # F1: 1,3 => CTR => F1: 5 * DIS # D2: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 + F1: 5 => CTR => D2: 1,3,6,8 * STA D2: 1,3,6,8 * CNT 6 HDP CHAINS / 8 HYP OPENED * REASONING C1,B3: 4.. * DIS # C1: 4 # A3: 1,6 => CTR => A3: 7 * DIS # C1: 4 + A3: 7 # D3: 1,6 => CTR => D3: 8 * DIS # C1: 4 + A3: 7 + D3: 8 # E7: 3,7 => CTR => E7: 1,6 * PRF # C1: 4 + A3: 7 + D3: 8 + E7: 1,6 # E8: 5 => SOL * STA # C1: 4 + A3: 7 + D3: 8 + E7: 1,6 + E8: 5 * CNT 4 HDP CHAINS / 19 HYP OPENED * DCP COUNT: (4) * SOLUTION FOUND
Header Info
20476;KZ1C;GP;23;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E1,E6: 2..:
* DIS # E6: 2 # C2: 1,6 => CTR => C2: 7 * INC # E6: 2 + C2: 7 # A5: 3,8 => UNS * DIS # E6: 2 + C2: 7 # A5: 2,6 => CTR => A5: 3,8 * DIS # E6: 2 + C2: 7 + A5: 3,8 # G6: 3,8 => CTR => G6: 4,7 * DIS # E6: 2 + C2: 7 + A5: 3,8 + G6: 4,7 # F5: 1,3 => CTR => F5: 4 * DIS # E6: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 # F1: 1,3 => CTR => F1: 5 * DIS # E6: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 + F1: 5 => CTR => E6: 3,7 * INC E6: 3,7 # E1: 2 => UNS * STA E6: 3,7 * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for C1,E1: 2..:
* DIS # C1: 2 # C2: 1,6 => CTR => C2: 7 * INC # C1: 2 + C2: 7 # A5: 3,8 => UNS * DIS # C1: 2 + C2: 7 # A5: 2,6 => CTR => A5: 3,8 * DIS # C1: 2 + C2: 7 + A5: 3,8 # G6: 3,8 => CTR => G6: 4,7 * DIS # C1: 2 + C2: 7 + A5: 3,8 + G6: 4,7 # F5: 1,3 => CTR => F5: 4 * DIS # C1: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 # F1: 1,3 => CTR => F1: 5 * DIS # C1: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 + F1: 5 => CTR => C1: 1,4 * INC C1: 1,4 # E1: 2 => UNS * STA C1: 1,4 * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for E1,D2: 2..:
* DIS # D2: 2 # C2: 1,6 => CTR => C2: 7 * INC # D2: 2 + C2: 7 # A5: 3,8 => UNS * DIS # D2: 2 + C2: 7 # A5: 2,6 => CTR => A5: 3,8 * DIS # D2: 2 + C2: 7 + A5: 3,8 # G6: 3,8 => CTR => G6: 4,7 * DIS # D2: 2 + C2: 7 + A5: 3,8 + G6: 4,7 # F5: 1,3 => CTR => F5: 4 * DIS # D2: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 # F1: 1,3 => CTR => F1: 5 * DIS # D2: 2 + C2: 7 + A5: 3,8 + G6: 4,7 + F5: 4 + F1: 5 => CTR => D2: 1,3,6,8 * INC D2: 1,3,6,8 # E1: 2 => UNS * STA D2: 1,3,6,8 * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for C1,B3: 4..:
* INC # C1: 4 # B2: 1,6 => UNS * INC # C1: 4 # C2: 1,6 => UNS * DIS # C1: 4 # A3: 1,6 => CTR => A3: 7 * DIS # C1: 4 + A3: 7 # D3: 1,6 => CTR => D3: 8 * INC # C1: 4 + A3: 7 + D3: 8 # B4: 1,6 => UNS * INC # C1: 4 + A3: 7 + D3: 8 # B9: 1,6 => UNS * INC # C1: 4 + A3: 7 + D3: 8 # B2: 1,6 => UNS * INC # C1: 4 + A3: 7 + D3: 8 # C2: 1,6 => UNS * INC # C1: 4 + A3: 7 + D3: 8 # B4: 1,6 => UNS * INC # C1: 4 + A3: 7 + D3: 8 # B9: 1,6 => UNS * INC # C1: 4 + A3: 7 + D3: 8 # F4: 3,7 => UNS * INC # C1: 4 + A3: 7 + D3: 8 # F4: 1 => UNS * INC # C1: 4 + A3: 7 + D3: 8 # G6: 3,7 => UNS * INC # C1: 4 + A3: 7 + D3: 8 # G6: 2,4,5,8,9 => UNS * DIS # C1: 4 + A3: 7 + D3: 8 # E7: 3,7 => CTR => E7: 1,6 * INC # C1: 4 + A3: 7 + D3: 8 + E7: 1,6 # E8: 3,7 => UNS * INC # C1: 4 + A3: 7 + D3: 8 + E7: 1,6 # E8: 3,7 => UNS * PRF # C1: 4 + A3: 7 + D3: 8 + E7: 1,6 # E8: 5 => SOL * STA # C1: 4 + A3: 7 + D3: 8 + E7: 1,6 + E8: 5 * CNT 18 HDP CHAINS / 19 HYP OPENED