Analysis of xx-ph-00050987-12_10-base.sdk
Contents
Original Sudoku
level: hard
position: 98.76.54.7..9..8....6......8..5..7...3.....2...9.4....1...5.....971.......8..91.. initial
Autosolve
position: 98.76.54.7..9..8....6......8..5..7...3.....2..79.4....1...5.....971.......8..91.. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # H6: 3,6 => CTR => H6: 1,5,8 * CNT 1 HDP CHAINS / 16 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # H6: 3,6 => CTR => H6: 1,5,8 * STA H6: 1,5,8 * CNT 1 HDP CHAINS / 36 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 98.76.54.7..9..8....6......8..5..7...3.....2..79.4....1...5.....971.......8..91.. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:30.367650
The following important HDP chains were detected:
* DIS # F5: 6,8 # I1: 2,3 => CTR => I1: 1 * DIS # F5: 6,8 + I1: 1 # F6: 2,3 => CTR => F6: 1 * DIS # F5: 6,8 + I1: 1 + F6: 1 # D3: 2,3 => CTR => D3: 8 * DIS # F5: 6,8 + I1: 1 + F6: 1 + D3: 8 # E3: 2,3 => CTR => E3: 1 * DIS # F5: 6,8 + I1: 1 + F6: 1 + D3: 8 + E3: 1 # I5: 5 => CTR => I5: 4,9 * PRF # F5: 6,8 + I1: 1 + F6: 1 + D3: 8 + E3: 1 + I5: 4,9 # G7: 4,9 => SOL * STA # F5: 6,8 + I1: 1 + F6: 1 + D3: 8 + E3: 1 + I5: 4,9 + G7: 4,9 * CNT 6 HDP CHAINS / 32 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.76.54.7..9..8....6......8..5..7...3.....2...9.4....1...5.....971.......8..91.. | initial |
| 98.76.54.7..9..8....6......8..5..7...3.....2..79.4....1...5.....971.......8..91.. | autosolve |
| 98.76.54.7..9..8....6......8..5..7...3.....2..79.4....1...5.....971.......8..91.. | pair_reduction |
| 982763541715924836346815297864592713531678429279341685123457968497186352658239174 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (2) D5: 6,8 G6: 3,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F2,F3: 5.. / F2 = 5 => 5 pairs (_) / F3 = 5 => 2 pairs (_) C2,C5: 5.. / C2 = 5 => 3 pairs (_) / C5 = 5 => 5 pairs (_) H2,I2: 6.. / H2 = 6 => 2 pairs (_) / I2 = 6 => 3 pairs (_) H3,I3: 7.. / H3 = 7 => 2 pairs (_) / I3 = 7 => 2 pairs (_) E5,F5: 7.. / E5 = 7 => 4 pairs (_) / F5 = 7 => 2 pairs (_) F7,E9: 7.. / F7 = 7 => 4 pairs (_) / E9 = 7 => 2 pairs (_) E5,E9: 7.. / E5 = 7 => 4 pairs (_) / E9 = 7 => 2 pairs (_) F5,F7: 7.. / F5 = 7 => 2 pairs (_) / F7 = 7 => 4 pairs (_) E4,E5: 9.. / E4 = 9 => 2 pairs (_) / E5 = 9 => 3 pairs (_) * DURATION: 0:00:05.435363 START: 06:14:28.565636 END: 06:14:34.000999 2020-12-20 * CP COUNT: (9) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:30.201753 START: 06:14:55.753600 END: 06:15:25.955353 2020-12-20 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00050987-12_10-base-pr-002.dot * REASONING * DIS # F5: 6,8 # I1: 2,3 => CTR => I1: 1 * DIS # F5: 6,8 + I1: 1 # F6: 2,3 => CTR => F6: 1 * DIS # F5: 6,8 + I1: 1 + F6: 1 # D3: 2,3 => CTR => D3: 8 * DIS # F5: 6,8 + I1: 1 + F6: 1 + D3: 8 # E3: 2,3 => CTR => E3: 1 * DIS # F5: 6,8 + I1: 1 + F6: 1 + D3: 8 + E3: 1 # I5: 5 => CTR => I5: 4,9 * PRF # F5: 6,8 + I1: 1 + F6: 1 + D3: 8 + E3: 1 + I5: 4,9 # G7: 4,9 => SOL * STA # F5: 6,8 + I1: 1 + F6: 1 + D3: 8 + E3: 1 + I5: 4,9 + G7: 4,9 * CNT 6 HDP CHAINS / 32 HYP OPENED
Header Info
50987;12_10;GP;25;11.30;1.20;1.20
Solution
position: 982763541715924836346815297864592713531678429279341685123457968497186352658239174 solved
See section Deep Pair Reduction for the HDP chains leading to this result.
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # F5: 6,8 => UNS * INC # D6: 6,8 => UNS * INC # F6: 6,8 => UNS * INC # I5: 6,8 => UNS * INC # I5: 1,4,5,9 => UNS * INC # D7: 6,8 => UNS * INC # D7: 2,3,4 => UNS * INC # H4: 3,6 => UNS * INC # I4: 3,6 => UNS * DIS # H6: 3,6 => CTR => H6: 1,5,8 * INC # H6: 1,5,8 => UNS * INC # I6: 3,6 => UNS * INC # D6: 3,6 => UNS * INC # F6: 3,6 => UNS * INC # G7: 3,6 => UNS * INC # G8: 3,6 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F5: 6,8 => UNS * INC # D6: 6,8 => UNS * INC # F6: 6,8 => UNS * INC # I5: 6,8 => UNS * INC # I5: 1,4,5,9 => UNS * INC # D7: 6,8 => UNS * INC # D7: 2,3,4 => UNS * INC # H4: 3,6 => UNS * INC # I4: 3,6 => UNS * DIS # H6: 3,6 => CTR => H6: 1,5,8 * INC H6: 1,5,8 # I6: 3,6 => UNS * INC H6: 1,5,8 # D6: 3,6 => UNS * INC H6: 1,5,8 # F6: 3,6 => UNS * INC H6: 1,5,8 # G7: 3,6 => UNS * INC H6: 1,5,8 # G8: 3,6 => UNS * INC H6: 1,5,8 # H4: 3,6 => UNS * INC H6: 1,5,8 # I4: 3,6 => UNS * INC H6: 1,5,8 # I6: 3,6 => UNS * INC H6: 1,5,8 # D6: 3,6 => UNS * INC H6: 1,5,8 # F6: 3,6 => UNS * INC H6: 1,5,8 # G7: 3,6 => UNS * INC H6: 1,5,8 # G8: 3,6 => UNS * INC H6: 1,5,8 # F5: 6,8 => UNS * INC H6: 1,5,8 # D6: 6,8 => UNS * INC H6: 1,5,8 # F6: 6,8 => UNS * INC H6: 1,5,8 # I5: 6,8 => UNS * INC H6: 1,5,8 # I5: 1,4,5,9 => UNS * INC H6: 1,5,8 # D7: 6,8 => UNS * INC H6: 1,5,8 # D7: 2,3,4 => UNS * INC H6: 1,5,8 # H4: 3,6 => UNS * INC H6: 1,5,8 # I4: 3,6 => UNS * INC H6: 1,5,8 # I6: 3,6 => UNS * INC H6: 1,5,8 # D6: 3,6 => UNS * INC H6: 1,5,8 # F6: 3,6 => UNS * INC H6: 1,5,8 # G7: 3,6 => UNS * INC H6: 1,5,8 # G8: 3,6 => UNS * STA H6: 1,5,8 * CNT 36 HDP CHAINS / 36 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F5: 6,8 => UNS * INC # D6: 6,8 => UNS * INC # F6: 6,8 => UNS * INC # I5: 6,8 => UNS * INC # I5: 1,4,5,9 => UNS * INC # D7: 6,8 => UNS * INC # D7: 2,3,4 => UNS * INC # H4: 3,6 => UNS * INC # I4: 3,6 => UNS * INC # I6: 3,6 => UNS * INC # D6: 3,6 => UNS * INC # F6: 3,6 => UNS * INC # G7: 3,6 => UNS * INC # G8: 3,6 => UNS * INC # F5: 6,8 # E2: 2,3 => UNS * INC # F5: 6,8 # D3: 2,3 => UNS * INC # F5: 6,8 # E3: 2,3 => UNS * INC # F5: 6,8 # C1: 2,3 => UNS * DIS # F5: 6,8 # I1: 2,3 => CTR => I1: 1 * INC # F5: 6,8 + I1: 1 # F4: 2,3 => UNS * DIS # F5: 6,8 + I1: 1 # F6: 2,3 => CTR => F6: 1 * INC # F5: 6,8 + I1: 1 + F6: 1 # E2: 2,3 => UNS * DIS # F5: 6,8 + I1: 1 + F6: 1 # D3: 2,3 => CTR => D3: 8 * DIS # F5: 6,8 + I1: 1 + F6: 1 + D3: 8 # E3: 2,3 => CTR => E3: 1 * INC # F5: 6,8 + I1: 1 + F6: 1 + D3: 8 + E3: 1 # I5: 4,5 => UNS * INC # F5: 6,8 + I1: 1 + F6: 1 + D3: 8 + E3: 1 # I5: 9 => UNS * INC # F5: 6,8 + I1: 1 + F6: 1 + D3: 8 + E3: 1 # D7: 2,3 => UNS * INC # F5: 6,8 + I1: 1 + F6: 1 + D3: 8 + E3: 1 # D9: 2,3 => UNS * INC # F5: 6,8 + I1: 1 + F6: 1 + D3: 8 + E3: 1 # I5: 4,9 => UNS * DIS # F5: 6,8 + I1: 1 + F6: 1 + D3: 8 + E3: 1 # I5: 5 => CTR => I5: 4,9 * PRF # F5: 6,8 + I1: 1 + F6: 1 + D3: 8 + E3: 1 + I5: 4,9 # G7: 4,9 => SOL * STA # F5: 6,8 + I1: 1 + F6: 1 + D3: 8 + E3: 1 + I5: 4,9 + G7: 4,9 * CNT 31 HDP CHAINS / 32 HYP OPENED