Analysis of xx-ph-00009231-cy4-base.sdk
Original Sudoku
level: deep
position: 98.........79..8......6....7..5..4....5..6.3.....2...1.5.6..7....4.1..6......3..2 initial
Autosolve
position: 98.........79..8......6....7..5..4....5..6.3.....2...1.5.6..7....4.1..6......3..2 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:37.033205
The following important HDP chains were detected:
* DIS # H4: 8 # B4: 3,9 => CTR => B4: 1,2,6 * CNT 1 HDP CHAINS / 102 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000016
List of important HDP chains detected for H4,G5: 2..:
* DIS # H4: 2 # H6: 7,8 => CTR => H6: 5 * DIS # H4: 2 + H6: 5 # I8: 3,5 => CTR => I8: 9 * DIS # H4: 2 + H6: 5 + I8: 9 # E1: 3,5 => CTR => E1: 4 * PRF # H4: 2 + H6: 5 + I8: 9 + E1: 4 => SOL * STA H4: 2 * CNT 4 HDP CHAINS / 6 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.........79..8......6....7..5..4....5..6.3.....2...1.5.6..7....4.1..6......3..2 | initial |
| 98.........79..8......6....7..5..4....5..6.3.....2...1.5.6..7....4.1..6......3..2 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) G5: 2,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F4,D5: 1.. / F4 = 1 => 1 pairs (_) / D5 = 1 => 2 pairs (_) H4,G5: 2.. / H4 = 2 => 5 pairs (_) / G5 = 2 => 1 pairs (_) E4,D6: 3.. / E4 = 3 => 2 pairs (_) / D6 = 3 => 2 pairs (_) A2,A3: 5.. / A2 = 5 => 2 pairs (_) / A3 = 5 => 1 pairs (_) G6,H6: 5.. / G6 = 5 => 3 pairs (_) / H6 = 5 => 4 pairs (_) F8,E9: 5.. / F8 = 5 => 2 pairs (_) / E9 = 5 => 3 pairs (_) I4,G6: 6.. / I4 = 6 => 2 pairs (_) / G6 = 6 => 4 pairs (_) G1,G6: 6.. / G1 = 6 => 2 pairs (_) / G6 = 6 => 4 pairs (_) I5,H6: 7.. / I5 = 7 => 1 pairs (_) / H6 = 7 => 4 pairs (_) B8,B9: 7.. / B8 = 7 => 2 pairs (_) / B9 = 7 => 2 pairs (_) D3,F3: 8.. / D3 = 8 => 3 pairs (_) / F3 = 8 => 2 pairs (_) * DURATION: 0:00:06.516148 START: 02:30:37.417148 END: 02:30:43.933296 2020-12-01 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H4,G5: 2.. / H4 = 2 ==> 0 pairs (*) / G5 = 2 => 0 pairs (X) * DURATION: 0:00:12.248594 START: 02:31:25.217848 END: 02:31:37.466442 2020-12-01 * REASONING H4,G5: 2.. * DIS # H4: 2 # H6: 7,8 => CTR => H6: 5 * DIS # H4: 2 + H6: 5 # I8: 3,5 => CTR => I8: 9 * DIS # H4: 2 + H6: 5 + I8: 9 # E1: 3,5 => CTR => E1: 4 * PRF # H4: 2 + H6: 5 + I8: 9 + E1: 4 => SOL * STA H4: 2 * CNT 4 HDP CHAINS / 6 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
9231;cy4;GP;22;11.30;11.30;10.10
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # H4: 2,9 => UNS * INC # H4: 8 => UNS * INC # B5: 2,9 => UNS * INC # B5: 1,4 => UNS * INC # G3: 2,9 => UNS * INC # G3: 1,3,5 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H4: 2,9 => UNS * INC # H4: 8 => UNS * INC # B5: 2,9 => UNS * INC # B5: 1,4 => UNS * INC # G3: 2,9 => UNS * INC # G3: 1,3,5 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # H4: 2,9 => UNS * INC # H4: 8 => UNS * INC # B5: 2,9 => UNS * INC # B5: 1,4 => UNS * INC # G3: 2,9 => UNS * INC # G3: 1,3,5 => UNS * INC # H4: 2,9 # B4: 2,9 => UNS * INC # H4: 2,9 # C4: 2,9 => UNS * INC # H4: 2,9 # H3: 2,9 => UNS * INC # H4: 2,9 # H3: 1,4,5,7 => UNS * INC # H4: 2,9 # C4: 6,8 => UNS * INC # H4: 2,9 # C4: 1,2,3,9 => UNS * INC # H4: 2,9 # B5: 2,9 => UNS * INC # H4: 2,9 # B5: 1,4 => UNS * INC # H4: 2,9 # G3: 2,9 => UNS * INC # H4: 2,9 # G3: 1,3,5 => UNS * INC # H4: 2,9 # H6: 7,8 => UNS * INC # H4: 2,9 # H6: 5 => UNS * INC # H4: 2,9 # D5: 7,8 => UNS * INC # H4: 2,9 # E5: 7,8 => UNS * INC # H4: 2,9 # G1: 5,6 => UNS * INC # H4: 2,9 # G1: 1,2,3 => UNS * INC # H4: 2,9 => UNS * DIS # H4: 8 # B4: 3,9 => CTR => B4: 1,2,6 * INC # H4: 8 + B4: 1,2,6 # C4: 3,9 => UNS * INC # H4: 8 + B4: 1,2,6 # C4: 3,9 => UNS * INC # H4: 8 + B4: 1,2,6 # C4: 1,2,6 => UNS * INC # H4: 8 + B4: 1,2,6 # C4: 3,9 => UNS * INC # H4: 8 + B4: 1,2,6 # C4: 1,2,6 => UNS * INC # H4: 8 + B4: 1,2,6 # C4: 1,9 => UNS * INC # H4: 8 + B4: 1,2,6 # C4: 2,3,6 => UNS * INC # H4: 8 + B4: 1,2,6 # G6: 6,9 => UNS * INC # H4: 8 + B4: 1,2,6 # G6: 5 => UNS * INC # H4: 8 + B4: 1,2,6 # C4: 6,9 => UNS * INC # H4: 8 + B4: 1,2,6 # C4: 1,2,3 => UNS * INC # H4: 8 + B4: 1,2,6 # H6: 7,9 => UNS * INC # H4: 8 + B4: 1,2,6 # H6: 5 => UNS * INC # H4: 8 + B4: 1,2,6 # E5: 7,9 => UNS * INC # H4: 8 + B4: 1,2,6 # E5: 4,8 => UNS * INC # H4: 8 + B4: 1,2,6 # I3: 7,9 => UNS * INC # H4: 8 + B4: 1,2,6 # I3: 3,4,5 => UNS * INC # H4: 8 + B4: 1,2,6 # C4: 3,9 => UNS * INC # H4: 8 + B4: 1,2,6 # C4: 1,2,6 => UNS * INC # H4: 8 + B4: 1,2,6 # C4: 1,9 => UNS * INC # H4: 8 + B4: 1,2,6 # C4: 2,3,6 => UNS * INC # H4: 8 + B4: 1,2,6 # G6: 6,9 => UNS * INC # H4: 8 + B4: 1,2,6 # G6: 5 => UNS * INC # H4: 8 + B4: 1,2,6 # C4: 6,9 => UNS * INC # H4: 8 + B4: 1,2,6 # C4: 1,2,3 => UNS * INC # H4: 8 + B4: 1,2,6 # H6: 7,9 => UNS * INC # H4: 8 + B4: 1,2,6 # H6: 5 => UNS * INC # H4: 8 + B4: 1,2,6 # E5: 7,9 => UNS * INC # H4: 8 + B4: 1,2,6 # E5: 4,8 => UNS * INC # H4: 8 + B4: 1,2,6 # I3: 7,9 => UNS * INC # H4: 8 + B4: 1,2,6 # I3: 3,4,5 => UNS * INC # H4: 8 + B4: 1,2,6 => UNS * INC # B5: 2,9 # B4: 2,9 => UNS * INC # B5: 2,9 # C4: 2,9 => UNS * INC # B5: 2,9 # B8: 2,9 => UNS * INC # B5: 2,9 # B8: 3,7 => UNS * INC # B5: 2,9 # H4: 2,9 => UNS * INC # B5: 2,9 # H4: 8 => UNS * INC # B5: 2,9 # G3: 2,9 => UNS * INC # B5: 2,9 # G3: 1,3,5 => UNS * INC # B5: 2,9 # H6: 7,8 => UNS * INC # B5: 2,9 # H6: 5,9 => UNS * INC # B5: 2,9 # D5: 7,8 => UNS * INC # B5: 2,9 # E5: 7,8 => UNS * INC # B5: 2,9 => UNS * INC # B5: 1,4 # A5: 1,4 => UNS * INC # B5: 1,4 # A5: 2,8 => UNS * INC # B5: 1,4 # D5: 1,4 => UNS * INC # B5: 1,4 # D5: 7,8 => UNS * INC # B5: 1,4 # B2: 1,4 => UNS * INC # B5: 1,4 # B3: 1,4 => UNS * INC # B5: 1,4 # H4: 2,9 => UNS * INC # B5: 1,4 # H4: 8 => UNS * INC # B5: 1,4 # G3: 2,9 => UNS * INC # B5: 1,4 # G3: 1,3,5 => UNS * INC # B5: 1,4 => UNS * INC # G3: 2,9 # H3: 2,9 => UNS * INC # G3: 2,9 # H3: 1,4,5,7 => UNS * INC # G3: 2,9 # H4: 2,9 => UNS * INC # G3: 2,9 # H4: 8 => UNS * INC # G3: 2,9 # B5: 2,9 => UNS * INC # G3: 2,9 # B5: 1,4 => UNS * INC # G3: 2,9 # G1: 5,6 => UNS * INC # G3: 2,9 # G1: 1,3 => UNS * INC # G3: 2,9 # I8: 3,5 => UNS * INC # G3: 2,9 # I8: 8,9 => UNS * INC # G3: 2,9 # G1: 3,5 => UNS * INC # G3: 2,9 # G1: 1,6 => UNS * INC # G3: 2,9 # H9: 1,5 => UNS * INC # G3: 2,9 # H9: 4,8,9 => UNS * INC # G3: 2,9 # G1: 1,5 => UNS * INC # G3: 2,9 # G1: 3,6 => UNS * INC # G3: 2,9 => UNS * INC # G3: 1,3,5 # H4: 2,9 => UNS * INC # G3: 1,3,5 # H4: 8 => UNS * INC # G3: 1,3,5 # B5: 2,9 => UNS * INC # G3: 1,3,5 # B5: 1,4 => UNS * INC # G3: 1,3,5 => UNS * CNT 102 HDP CHAINS / 102 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H4,G5: 2..:
* INC # H4: 2 # C4: 6,8 => UNS * INC # H4: 2 # C4: 1,3,9 => UNS * DIS # H4: 2 # H6: 7,8 => CTR => H6: 5 * DIS # H4: 2 + H6: 5 # I8: 3,5 => CTR => I8: 9 * DIS # H4: 2 + H6: 5 + I8: 9 # E1: 3,5 => CTR => E1: 4 * PRF # H4: 2 + H6: 5 + I8: 9 + E1: 4 => SOL * STA H4: 2 * CNT 6 HDP CHAINS / 6 HYP OPENED