Analysis of xx-ph-00061454-12_11-base.sdk
Original Sudoku
level: deep
position: 98.7..6....5.9..4....3....93....7..2..6....5...4...8..2...7...1.4...3......2.1... initial
Autosolve
position: 98.7..6....5.9..4.4..3....93....7..2..6....5...4...8..2...7...1.4...3......2.1... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:28.875933
The following important HDP chains were detected:
* DIS # I9: 3,5 # D4: 1,9 => CTR => D4: 4,5,6,8 * DIS # I9: 3,5 + D4: 4,5,6,8 # I8: 8 => CTR => I8: 6,7 * DIS # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 # H6: 6,7 => CTR => H6: 1,3,9 * DIS # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 # B2: 1,6 => CTR => B2: 3,7 * DIS # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 + B2: 3,7 # A2: 7 => CTR => A2: 1,6 * DIS # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 + B2: 3,7 + A2: 1,6 # H4: 1,9 => CTR => H4: 6 * DIS # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 + B2: 3,7 + A2: 1,6 + H4: 6 # B4: 1,9 => CTR => B4: 5 * DIS # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 + B2: 3,7 + A2: 1,6 + H4: 6 + B4: 5 => CTR => I9: 4,6,7,8 * STA I9: 4,6,7,8 * CNT 8 HDP CHAINS / 43 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Pair Reduction Position
position: 98.7..6....5.9..4.4..3....93....7..2..6....5...4...8..2...7...1.4...3......2.1... deep_pair_reduction
See section Deep Pair Reduction for the HDP chains leading to this result.
Deep Constraint Pair Analysis
Time used: 0:00:00.000027
List of important HDP chains detected for I1,I8: 5..:
* DIS # I8: 5 # I9: 7,8 => CTR => I9: 4,6 * DIS # I8: 5 + I9: 4,6 # E9: 6,8 => CTR => E9: 4,5 * PRF # I8: 5 + I9: 4,6 + E9: 4,5 # E3: 6,8 => SOL * STA # I8: 5 + I9: 4,6 + E9: 4,5 + E3: 6,8 * CNT 3 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....5.9..4....3....93....7..2..6....5...4...8..2...7...1.4...3......2.1... | initial |
| 98.7..6....5.9..4.4..3....93....7..2..6....5...4...8..2...7...1.4...3......2.1... | autosolve |
| 98.7..6....5.9..4.4..3....93....7..2..6....5...4...8..2...7...1.4...3......2.1... | deep_pair_reduction |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) I1: 3,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A8,C8: 1.. / A8 = 1 => 4 pairs (_) / C8 = 1 => 4 pairs (_) C1,C3: 2.. / C1 = 2 => 5 pairs (_) / C3 = 2 => 2 pairs (_) B5,B6: 2.. / B5 = 2 => 1 pairs (_) / B6 = 2 => 1 pairs (_) G8,H8: 2.. / G8 = 2 => 4 pairs (_) / H8 = 2 => 2 pairs (_) F2,G2: 2.. / F2 = 2 => 4 pairs (_) / G2 = 2 => 3 pairs (_) C1,B2: 3.. / C1 = 3 => 4 pairs (_) / B2 = 3 => 3 pairs (_) E5,E6: 3.. / E5 = 3 => 2 pairs (_) / E6 = 3 => 2 pairs (_) E1,F1: 4.. / E1 = 4 => 2 pairs (_) / F1 = 4 => 1 pairs (_) I5,I9: 4.. / I5 = 4 => 2 pairs (_) / I9 = 4 => 2 pairs (_) I1,G3: 5.. / I1 = 5 => 1 pairs (_) / G3 = 5 => 7 pairs (_) I2,H3: 8.. / I2 = 8 => 3 pairs (_) / H3 = 8 => 2 pairs (_) C4,A5: 8.. / C4 = 8 => 3 pairs (_) / A5 = 8 => 2 pairs (_) * DURATION: 0:00:08.503266 START: 15:31:21.656253 END: 15:31:30.159519 2020-12-21 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I1,I8: 5.. / I1 = 5 => 0 pairs (X) / I8 = 5 ==> 0 pairs (*) * DURATION: 0:00:23.169819 START: 15:32:04.587705 END: 15:32:27.757524 2020-12-21 * REASONING I1,I8: 5.. * DIS # I8: 5 # I9: 7,8 => CTR => I9: 4,6 * DIS # I8: 5 + I9: 4,6 # E9: 6,8 => CTR => E9: 4,5 * PRF # I8: 5 + I9: 4,6 + E9: 4,5 # E3: 6,8 => SOL * STA # I8: 5 + I9: 4,6 + E9: 4,5 + E3: 6,8 * CNT 3 HDP CHAINS / 19 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
61454;12_11;GP;23;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # I9: 3,5 => UNS * INC # I9: 4,6,7,8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # I9: 3,5 => UNS * INC # I9: 4,6,7,8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # I9: 3,5 => UNS * INC # I9: 4,6,7,8 => UNS * INC # I9: 3,5 # H3: 7,8 => UNS * INC # I9: 3,5 # H3: 1,2 => UNS * INC # I9: 3,5 # I8: 7,8 => UNS * INC # I9: 3,5 # I8: 6 => UNS * INC # I9: 3,5 # H4: 1,9 => UNS * INC # I9: 3,5 # G5: 1,9 => UNS * INC # I9: 3,5 # H6: 1,9 => UNS * INC # I9: 3,5 # B4: 1,9 => UNS * INC # I9: 3,5 # C4: 1,9 => UNS * DIS # I9: 3,5 # D4: 1,9 => CTR => D4: 4,5,6,8 * INC # I9: 3,5 + D4: 4,5,6,8 # H4: 1,9 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 # G5: 1,9 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 # H6: 1,9 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 # B4: 1,9 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 # C4: 1,9 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 # H6: 6,7 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 # H6: 1,3,9 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 # I8: 6,7 => UNS * DIS # I9: 3,5 + D4: 4,5,6,8 # I8: 8 => CTR => I8: 6,7 * DIS # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 # H6: 6,7 => CTR => H6: 1,3,9 * INC # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 # G7: 3,5 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 # G9: 3,5 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 # B9: 3,5 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 # B9: 6,7,9 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 # E3: 1,6 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 # E3: 2,5,8 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 # A2: 1,6 => UNS * DIS # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 # B2: 1,6 => CTR => B2: 3,7 * INC # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 + B2: 3,7 # A2: 1,6 => UNS * DIS # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 + B2: 3,7 # A2: 7 => CTR => A2: 1,6 * INC # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 + B2: 3,7 + A2: 1,6 # D6: 1,6 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 + B2: 3,7 + A2: 1,6 # D6: 5,9 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 + B2: 3,7 + A2: 1,6 # E3: 1,6 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 + B2: 3,7 + A2: 1,6 # E3: 5,8 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 + B2: 3,7 + A2: 1,6 # D6: 1,6 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 + B2: 3,7 + A2: 1,6 # D6: 5,9 => UNS * DIS # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 + B2: 3,7 + A2: 1,6 # H4: 1,9 => CTR => H4: 6 * INC # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 + B2: 3,7 + A2: 1,6 + H4: 6 # G5: 1,9 => UNS * INC # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 + B2: 3,7 + A2: 1,6 + H4: 6 # H6: 1,9 => UNS * DIS # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 + B2: 3,7 + A2: 1,6 + H4: 6 # B4: 1,9 => CTR => B4: 5 * DIS # I9: 3,5 + D4: 4,5,6,8 + I8: 6,7 + H6: 1,3,9 + B2: 3,7 + A2: 1,6 + H4: 6 + B4: 5 => CTR => I9: 4,6,7,8 * STA I9: 4,6,7,8 * CNT 43 HDP CHAINS / 43 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I1,I8: 5..:
* INC # I8: 5 # C3: 1,2 => UNS * INC # I8: 5 # C3: 7 => UNS * INC # I8: 5 # E4: 4,5 => UNS * INC # I8: 5 # E9: 4,5 => UNS * INC # I8: 5 # F7: 4,5 => UNS * INC # I8: 5 # F7: 6,8,9 => UNS * INC # I8: 5 # G2: 1,2 => UNS * INC # I8: 5 # H3: 1,2 => UNS * INC # I8: 5 # H3: 7,8 => UNS * INC # I8: 5 # H3: 1,2 => UNS * DIS # I8: 5 # I9: 7,8 => CTR => I9: 4,6 * INC # I8: 5 + I9: 4,6 # D7: 6,8 => UNS * INC # I8: 5 + I9: 4,6 # F7: 6,8 => UNS * INC # I8: 5 + I9: 4,6 # D8: 6,8 => UNS * DIS # I8: 5 + I9: 4,6 # E9: 6,8 => CTR => E9: 4,5 * INC # I8: 5 + I9: 4,6 + E9: 4,5 # A8: 6,8 => UNS * INC # I8: 5 + I9: 4,6 + E9: 4,5 # H8: 6,8 => UNS * PRF # I8: 5 + I9: 4,6 + E9: 4,5 # E3: 6,8 => SOL * STA # I8: 5 + I9: 4,6 + E9: 4,5 + E3: 6,8 * CNT 18 HDP CHAINS / 19 HYP OPENED