Analysis of xx-ph-00034434-12_05-base.sdk
Contents
Original Sudoku
level: deep
position: 9..8..7...8.....6...5.4....7......9..3.6..8.......2..1.6.3...8...2.1.........5..4 initial
Autosolve
position: 9..8..7...8.....6...5.4...87......9..3.6..8.......2..1.6.3...8...2.1.........5..4 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000011
List of important HDP chains detected for F7,D8: 4..:
* DIS # F7: 4 # D2: 7,9 => CTR => D2: 1,2,5 * CNT 1 HDP CHAINS / 40 HYP OPENED
List of important HDP chains detected for C2,B3: 7..:
* DIS # C2: 7 # A3: 1,2 => CTR => A3: 3,6 * DIS # C2: 7 + A3: 3,6 # D3: 1,2 => CTR => D3: 7,9 * CNT 2 HDP CHAINS / 35 HYP OPENED
List of important HDP chains detected for F4,F8: 8..:
* DIS # F4: 8 => CTR => F4: 1,3,4 * STA F4: 1,3,4 * CNT 1 HDP CHAINS / 2 HYP OPENED
List of important HDP chains detected for A8,F8: 8..:
* DIS # A8: 8 => CTR => A8: 3,4,5 * STA A8: 3,4,5 * CNT 1 HDP CHAINS / 2 HYP OPENED
List of important HDP chains detected for F8,E9: 8..:
* DIS # E9: 8 => CTR => E9: 6 * STA E9: 6 * CNT 1 HDP CHAINS / 2 HYP OPENED
List of important HDP chains detected for E1,E9: 6..:
* DIS # E1: 6 => CTR => E1: 2,3,5 * STA E1: 2,3,5 * CNT 1 HDP CHAINS / 2 HYP OPENED
List of important HDP chains detected for E9,G9: 6..:
* DIS # G9: 6 => CTR => G9: 1,2,3,9 * STA G9: 1,2,3,9 * CNT 1 HDP CHAINS / 2 HYP OPENED
List of important HDP chains detected for F8,E9: 6..:
* DIS # F8: 6 => CTR => F8: 8 * STA F8: 8 * CNT 1 HDP CHAINS / 2 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
| 9..8..7...8.....6...5.4....7......9..3.6..8.......2..1.6.3...8...2.1.........5..4 | initial |
| 9..8..7...8.....6...5.4...87......9..3.6..8.......2..1.6.3...8...2.1.........5..4 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (2) F8: 6,8 E9: 6,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B4,A5: 2.. / B4 = 2 => 4 pairs (_) / A5 = 2 => 3 pairs (_) E7,D9: 2.. / E7 = 2 => 3 pairs (_) / D9 = 2 => 3 pairs (_) H1,G2: 4.. / H1 = 4 => 3 pairs (_) / G2 = 4 => 2 pairs (_) F7,D8: 4.. / F7 = 4 => 4 pairs (_) / D8 = 4 => 4 pairs (_) C1,A3: 6.. / C1 = 6 => 1 pairs (_) / A3 = 6 => 2 pairs (_) F8,E9: 6.. / F8 = 6 => 0 pairs (X) / E9 = 6 => 0 pairs (_) A3,F3: 6.. / A3 = 6 => 2 pairs (_) / F3 = 6 => 1 pairs (_) E9,G9: 6.. / E9 = 6 => 0 pairs (_) / G9 = 6 => 0 pairs (X) A3,A6: 6.. / A3 = 6 => 2 pairs (_) / A6 = 6 => 1 pairs (_) E1,E9: 6.. / E1 = 6 => 0 pairs (X) / E9 = 6 => 0 pairs (_) I4,I8: 6.. / I4 = 6 => 2 pairs (_) / I8 = 6 => 0 pairs (_) C2,B3: 7.. / C2 = 7 => 3 pairs (_) / B3 = 7 => 3 pairs (_) F8,E9: 8.. / F8 = 8 => 0 pairs (_) / E9 = 8 => 0 pairs (X) A8,F8: 8.. / A8 = 8 => 0 pairs (X) / F8 = 8 => 0 pairs (_) F4,F8: 8.. / F4 = 8 => 0 pairs (X) / F8 = 8 => 0 pairs (_) * DURATION: 0:00:09.482050 START: 13:14:33.858329 END: 13:14:43.340379 2020-12-14 * CP COUNT: (15) * CLUE FOUND -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F7,D8: 4.. / F7 = 4 ==> 4 pairs (_) / D8 = 4 ==> 4 pairs (_) B4,A5: 2.. / B4 = 2 ==> 4 pairs (_) / A5 = 2 ==> 3 pairs (_) C2,B3: 7.. / C2 = 7 ==> 5 pairs (_) / B3 = 7 ==> 3 pairs (_) E7,D9: 2.. / E7 = 2 ==> 3 pairs (_) / D9 = 2 ==> 3 pairs (_) H1,G2: 4.. / H1 = 4 ==> 3 pairs (_) / G2 = 4 ==> 2 pairs (_) A3,A6: 6.. / A3 = 6 ==> 2 pairs (_) / A6 = 6 ==> 1 pairs (_) A3,F3: 6.. / A3 = 6 ==> 2 pairs (_) / F3 = 6 ==> 1 pairs (_) C1,A3: 6.. / C1 = 6 ==> 1 pairs (_) / A3 = 6 ==> 2 pairs (_) I4,I8: 6.. / I4 = 6 ==> 2 pairs (_) / I8 = 6 ==> 0 pairs (_) F4,F8: 8.. / F4 = 8 => 0 pairs (X) / F8 = 8 => 0 pairs (_) A8,F8: 8.. / A8 = 8 => 0 pairs (X) / F8 = 8 => 0 pairs (_) F8,E9: 8.. / F8 = 8 ==> 0 pairs (_) / E9 = 8 => 0 pairs (X) E1,E9: 6.. / E1 = 6 => 0 pairs (X) / E9 = 6 => 0 pairs (_) E9,G9: 6.. / E9 = 6 ==> 0 pairs (_) / G9 = 6 => 0 pairs (X) F8,E9: 6.. / F8 = 6 => 0 pairs (X) / E9 = 6 => 0 pairs (_) * DURATION: 0:01:12.546459 START: 13:14:44.017790 END: 13:15:56.564249 2020-12-14 * REASONING F7,D8: 4.. * DIS # F7: 4 # D2: 7,9 => CTR => D2: 1,2,5 * CNT 1 HDP CHAINS / 40 HYP OPENED * REASONING C2,B3: 7.. * DIS # C2: 7 # A3: 1,2 => CTR => A3: 3,6 * DIS # C2: 7 + A3: 3,6 # D3: 1,2 => CTR => D3: 7,9 * CNT 2 HDP CHAINS / 35 HYP OPENED * REASONING F4,F8: 8.. * DIS # F4: 8 => CTR => F4: 1,3,4 * STA F4: 1,3,4 * CNT 1 HDP CHAINS / 2 HYP OPENED * REASONING A8,F8: 8.. * DIS # A8: 8 => CTR => A8: 3,4,5 * STA A8: 3,4,5 * CNT 1 HDP CHAINS / 2 HYP OPENED * REASONING F8,E9: 8.. * DIS # E9: 8 => CTR => E9: 6 * STA E9: 6 * CNT 1 HDP CHAINS / 2 HYP OPENED * REASONING E1,E9: 6.. * DIS # E1: 6 => CTR => E1: 2,3,5 * STA E1: 2,3,5 * CNT 1 HDP CHAINS / 2 HYP OPENED * REASONING E9,G9: 6.. * DIS # G9: 6 => CTR => G9: 1,2,3,9 * STA G9: 1,2,3,9 * CNT 1 HDP CHAINS / 2 HYP OPENED * REASONING F8,E9: 6.. * DIS # F8: 6 => CTR => F8: 8 * STA F8: 8 * CNT 1 HDP CHAINS / 2 HYP OPENED * DCP COUNT: (15) * CLUE FOUND
Header Info
34434;12_05;GP;21;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F7,D8: 4..:
* INC # F7: 4 # G7: 1,5 => UNS * INC # F7: 4 # G7: 2,9 => UNS * INC # F7: 4 # A5: 1,5 => UNS * INC # F7: 4 # A5: 2,4 => UNS * INC # F7: 4 # E7: 7,9 => UNS * INC # F7: 4 # D9: 7,9 => UNS * INC # F7: 4 # B8: 7,9 => UNS * INC # F7: 4 # I8: 7,9 => UNS * DIS # F7: 4 # D2: 7,9 => CTR => D2: 1,2,5 * INC # F7: 4 + D2: 1,2,5 # D3: 7,9 => UNS * INC # F7: 4 + D2: 1,2,5 # D6: 7,9 => UNS * INC # F7: 4 + D2: 1,2,5 # E7: 7,9 => UNS * INC # F7: 4 + D2: 1,2,5 # D9: 7,9 => UNS * INC # F7: 4 + D2: 1,2,5 # B8: 7,9 => UNS * INC # F7: 4 + D2: 1,2,5 # I8: 7,9 => UNS * INC # F7: 4 + D2: 1,2,5 # D3: 7,9 => UNS * INC # F7: 4 + D2: 1,2,5 # D6: 7,9 => UNS * INC # F7: 4 + D2: 1,2,5 # G7: 1,5 => UNS * INC # F7: 4 + D2: 1,2,5 # G7: 2,9 => UNS * INC # F7: 4 + D2: 1,2,5 # A5: 1,5 => UNS * INC # F7: 4 + D2: 1,2,5 # A5: 2,4 => UNS * INC # F7: 4 + D2: 1,2,5 # E7: 7,9 => UNS * INC # F7: 4 + D2: 1,2,5 # D9: 7,9 => UNS * INC # F7: 4 + D2: 1,2,5 # B8: 7,9 => UNS * INC # F7: 4 + D2: 1,2,5 # I8: 7,9 => UNS * INC # F7: 4 + D2: 1,2,5 # D3: 7,9 => UNS * INC # F7: 4 + D2: 1,2,5 # D6: 7,9 => UNS * INC # F7: 4 + D2: 1,2,5 => UNS * INC # D8: 4 # B4: 1,5 => UNS * INC # D8: 4 # B4: 2,4 => UNS * INC # D8: 4 # D2: 1,5 => UNS * INC # D8: 4 # D2: 2,7,9 => UNS * INC # D8: 4 # E7: 7,9 => UNS * INC # D8: 4 # D9: 7,9 => UNS * INC # D8: 4 # C7: 7,9 => UNS * INC # D8: 4 # I7: 7,9 => UNS * INC # D8: 4 # F2: 7,9 => UNS * INC # D8: 4 # F3: 7,9 => UNS * INC # D8: 4 # F5: 7,9 => UNS * INC # D8: 4 => UNS * CNT 40 HDP CHAINS / 40 HYP OPENED
Full list of HDP chains traversed for B4,A5: 2..:
* INC # B4: 2 # C1: 1,4 => UNS * INC # B4: 2 # A2: 1,4 => UNS * INC # B4: 2 # C2: 1,4 => UNS * INC # B4: 2 # H1: 1,4 => UNS * INC # B4: 2 # H1: 2,3,5 => UNS * INC # B4: 2 # C2: 1,7 => UNS * INC # B4: 2 # C2: 3,4 => UNS * INC # B4: 2 # D3: 1,7 => UNS * INC # B4: 2 # F3: 1,7 => UNS * INC # B4: 2 # B9: 1,7 => UNS * INC # B4: 2 # B9: 9 => UNS * INC # B4: 2 => UNS * INC # A5: 2 # H5: 5,7 => UNS * INC # A5: 2 # H6: 5,7 => UNS * INC # A5: 2 # E5: 5,7 => UNS * INC # A5: 2 # E5: 9 => UNS * INC # A5: 2 # I7: 5,7 => UNS * INC # A5: 2 # I8: 5,7 => UNS * INC # A5: 2 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for C2,B3: 7..:
* INC # C2: 7 # B1: 1,2 => UNS * INC # C2: 7 # A2: 1,2 => UNS * DIS # C2: 7 # A3: 1,2 => CTR => A3: 3,6 * DIS # C2: 7 + A3: 3,6 # D3: 1,2 => CTR => D3: 7,9 * INC # C2: 7 + A3: 3,6 + D3: 7,9 # G3: 1,2 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # H3: 1,2 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # B4: 1,2 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # B4: 4,5 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # B1: 1,2 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # A2: 1,2 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # G3: 1,2 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # H3: 1,2 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # B4: 1,2 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # B4: 4,5 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # C1: 3,6 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # C1: 1,4 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # F3: 3,6 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # F3: 1,7,9 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # B1: 1,2 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # A2: 1,2 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # G3: 1,2 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # H3: 1,2 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # B4: 1,2 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # B4: 4,5 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # F3: 7,9 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # F3: 1,3,6 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # D6: 7,9 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # D8: 7,9 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 # D9: 7,9 => UNS * INC # C2: 7 + A3: 3,6 + D3: 7,9 => UNS * INC # B3: 7 # C7: 1,9 => UNS * INC # B3: 7 # C9: 1,9 => UNS * INC # B3: 7 # G9: 1,9 => UNS * INC # B3: 7 # G9: 2,3,6 => UNS * INC # B3: 7 => UNS * CNT 35 HDP CHAINS / 35 HYP OPENED
Full list of HDP chains traversed for E7,D9: 2..:
* INC # E7: 2 # F7: 7,9 => UNS * INC # E7: 2 # D8: 7,9 => UNS * INC # E7: 2 # B9: 7,9 => UNS * INC # E7: 2 # C9: 7,9 => UNS * INC # E7: 2 # D2: 7,9 => UNS * INC # E7: 2 # D3: 7,9 => UNS * INC # E7: 2 # D6: 7,9 => UNS * INC # E7: 2 => UNS * INC # D9: 2 # F7: 7,9 => UNS * INC # D9: 2 # D8: 7,9 => UNS * INC # D9: 2 # C7: 7,9 => UNS * INC # D9: 2 # I7: 7,9 => UNS * INC # D9: 2 # E2: 7,9 => UNS * INC # D9: 2 # E5: 7,9 => UNS * INC # D9: 2 # E6: 7,9 => UNS * INC # D9: 2 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for H1,G2: 4..:
* INC # H1: 4 # A2: 1,2 => UNS * INC # H1: 4 # A3: 1,2 => UNS * INC # H1: 4 # B3: 1,2 => UNS * INC # H1: 4 # B4: 1,2 => UNS * INC # H1: 4 # B4: 4,5 => UNS * INC # H1: 4 => UNS * INC # G2: 4 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
Full list of HDP chains traversed for A3,A6: 6..:
* INC # A3: 6 => UNS * INC # A6: 6 # F2: 1,3 => UNS * INC # A6: 6 # F2: 7,9 => UNS * INC # A6: 6 # H1: 1,3 => UNS * INC # A6: 6 # H1: 2,4,5 => UNS * INC # A6: 6 # F4: 1,3 => UNS * INC # A6: 6 # F4: 4 => UNS * INC # A6: 6 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for A3,F3: 6..:
* INC # A3: 6 => UNS * INC # F3: 6 # F2: 1,3 => UNS * INC # F3: 6 # F2: 7,9 => UNS * INC # F3: 6 # H1: 1,3 => UNS * INC # F3: 6 # H1: 2,4,5 => UNS * INC # F3: 6 # F4: 1,3 => UNS * INC # F3: 6 # F4: 4 => UNS * INC # F3: 6 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for C1,A3: 6..:
* INC # A3: 6 => UNS * INC # C1: 6 # F2: 1,3 => UNS * INC # C1: 6 # F2: 7,9 => UNS * INC # C1: 6 # H1: 1,3 => UNS * INC # C1: 6 # H1: 2,4,5 => UNS * INC # C1: 6 # F4: 1,3 => UNS * INC # C1: 6 # F4: 4 => UNS * INC # C1: 6 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for I4,I8: 6..:
* INC # I4: 6 => UNS * INC # I8: 6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F4,F8: 8..:
* DIS # F4: 8 => CTR => F4: 1,3,4 * INC F4: 1,3,4 # F8: 8 => UNS * STA F4: 1,3,4 * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A8,F8: 8..:
* DIS # A8: 8 => CTR => A8: 3,4,5 * INC A8: 3,4,5 # F8: 8 => UNS * STA A8: 3,4,5 * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F8,E9: 8..:
* INC # F8: 8 => UNS * DIS # E9: 8 => CTR => E9: 6 * STA E9: 6 * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E1,E9: 6..:
* DIS # E1: 6 => CTR => E1: 2,3,5 * INC E1: 2,3,5 # E9: 6 => UNS * STA E1: 2,3,5 * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for E9,G9: 6..:
* INC # E9: 6 => UNS * DIS # G9: 6 => CTR => G9: 1,2,3,9 * STA G9: 1,2,3,9 * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F8,E9: 6..:
* DIS # F8: 6 => CTR => F8: 8 * INC F8: 8 # E9: 6 => UNS * STA F8: 8 * CNT 2 HDP CHAINS / 2 HYP OPENED