Analysis of zz-www.sudokuwiki.org-0319-base.sdk
Contents
Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=319
level: hard
position: .8..9...32.9.8....5..3.78...5......6..1...9..8......2...85.6..7....7.1.97...3..5. initial
Autosolve
position: .87.9...3239.8....5..3.789..5......6..1...9..8......2...85.6..7..5.7.1.97...3..5. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # A8: 4,6 => CTR => A8: 3 * DIS # A7: 3,4 => CTR => A7: 1,9 * CNT 2 HDP CHAINS / 26 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # A8: 4,6 => CTR => A8: 3 * STA A8: 3 * CNT 1 HDP CHAINS / 55 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: .87.9...3239.8....5..3.789..5......6..1...9..8......2...85.6..73.5.7.1.97...3..5. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:32.221829
The following important HDP chains were detected:
* DIS # A1: 4,6 # C6: 4,6 => CTR => C6: 3 * DIS # A1: 4,6 + C6: 3 # C9: 2 => CTR => C9: 4,6 * DIS # A1: 4,6 + C6: 3 + C9: 4,6 # E6: 4,6 => CTR => E6: 1,5 * PRF # A1: 4,6 + C6: 3 + C9: 4,6 + E6: 1,5 # E5: 2,5 => SOL * STA # A1: 4,6 + C6: 3 + C9: 4,6 + E6: 1,5 + E5: 2,5 * CNT 4 HDP CHAINS / 37 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .8..9...32.9.8....5..3.78...5......6..1...9..8......2...85.6..7....7.1.97...3..5. | initial |
| .87.9...3239.8....5..3.789..5......6..1...9..8......2...85.6..7..5.7.1.97...3..5. | autosolve |
| .87.9...3239.8....5..3.789..5......6..1...9..8......2...85.6..73.5.7.1.97...3..5. | pair_reduction |
| 687294513239185674514367892952718346471623985863459721198546237345872169726931458 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (4) C3: 4,6 A4: 4,9 A5: 4,6 H7: 3,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,B3: 1.. / A1 = 1 => 10 pairs (_) / B3 = 1 => 10 pairs (_) H4,I6: 1.. / H4 = 1 => 7 pairs (_) / I6 = 1 => 6 pairs (_) A1,A7: 1.. / A1 = 1 => 10 pairs (_) / A7 = 1 => 10 pairs (_) G1,I3: 2.. / G1 = 2 => 0 pairs (X) / I3 = 2 => 5 pairs (_) C4,B5: 2.. / C4 = 2 => 6 pairs (_) / B5 = 2 => 8 pairs (_) E3,I3: 2.. / E3 = 2 => 0 pairs (X) / I3 = 2 => 5 pairs (_) C4,C9: 2.. / C4 = 2 => 6 pairs (_) / C9 = 2 => 8 pairs (_) I3,I9: 2.. / I3 = 2 => 5 pairs (_) / I9 = 2 => 0 pairs (X) C4,C6: 3.. / C4 = 3 => 10 pairs (_) / C6 = 3 => 5 pairs (_) A7,A8: 3.. / A7 = 3 => 0 pairs (X) / A8 = 3 => 4 pairs (_) F5,H5: 3.. / F5 = 3 => 4 pairs (_) / H5 = 3 => 12 pairs (_) A8,H8: 3.. / A8 = 3 => 4 pairs (_) / H8 = 3 => 0 pairs (X) F1,F2: 5.. / F1 = 5 => 5 pairs (_) / F2 = 5 => 6 pairs (_) E5,E6: 5.. / E5 = 5 => 5 pairs (_) / E6 = 5 => 6 pairs (_) F1,G1: 5.. / F1 = 5 => 5 pairs (_) / G1 = 5 => 6 pairs (_) E5,I5: 5.. / E5 = 5 => 5 pairs (_) / I5 = 5 => 6 pairs (_) H8,G9: 6.. / H8 = 6 => 8 pairs (_) / G9 = 6 => 5 pairs (_) G2,H2: 7.. / G2 = 7 => 5 pairs (_) / H2 = 7 => 4 pairs (_) B5,B6: 7.. / B5 = 7 => 6 pairs (_) / B6 = 7 => 3 pairs (_) H8,I9: 8.. / H8 = 8 => 0 pairs (X) / I9 = 8 => 5 pairs (_) I5,I9: 8.. / I5 = 8 => 0 pairs (X) / I9 = 8 => 5 pairs (_) A4,B6: 9.. / A4 = 9 => 3 pairs (_) / B6 = 9 => 0 pairs (X) A7,B7: 9.. / A7 = 9 => 0 pairs (X) / B7 = 9 => 3 pairs (_) D9,F9: 9.. / D9 = 9 => 4 pairs (_) / F9 = 9 => 4 pairs (_) A4,A7: 9.. / A4 = 9 => 3 pairs (_) / A7 = 9 => 0 pairs (X) B6,B7: 9.. / B6 = 9 => 0 pairs (X) / B7 = 9 => 3 pairs (_) * DURATION: 0:00:21.161554 START: 17:54:49.179381 END: 17:55:10.340935 2019-04-28 * CP COUNT: (26) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:32.003715 START: 17:55:51.874288 END: 17:56:23.878003 2019-04-28 * SOLUTION FOUND * SAVE PR GRAPH zz-www.sudokuwiki.org-0319-base-pr-002.dot * REASONING * DIS # A1: 4,6 # C6: 4,6 => CTR => C6: 3 * DIS # A1: 4,6 + C6: 3 # C9: 2 => CTR => C9: 4,6 * DIS # A1: 4,6 + C6: 3 + C9: 4,6 # E6: 4,6 => CTR => E6: 1,5 * PRF # A1: 4,6 + C6: 3 + C9: 4,6 + E6: 1,5 # E5: 2,5 => SOL * STA # A1: 4,6 + C6: 3 + C9: 4,6 + E6: 1,5 + E5: 2,5 * CNT 4 HDP CHAINS / 37 HYP OPENED
Header Info
http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=319
Solution
position: 687294513239185674514367892952718346471623985863459721198546237345872169726931458 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 # A1: 4,6 => UNS * INC # B3: 4,6 => UNS * INC # E3: 4,6 => UNS * INC # E3: 1,2 => UNS * INC # C6: 4,6 => UNS * INC # C9: 4,6 => UNS * INC # B6: 4,9 => UNS * INC # B6: 6,7 => UNS * INC # D4: 4,9 => UNS * INC # F4: 4,9 => UNS * INC # A7: 4,9 => UNS * INC # A7: 1,3 => UNS * INC # B5: 4,6 => UNS * INC # B6: 4,6 => UNS * INC # C6: 4,6 => UNS * INC # D5: 4,6 => UNS * INC # E5: 4,6 => UNS * INC # A1: 4,6 => UNS * DIS # A8: 4,6 => CTR => A8: 3 * INC # A8: 3 => UNS * INC # G7: 3,4 => UNS * INC # H8: 3,4 => UNS * DIS # A7: 3,4 => CTR => A7: 1,9 * INC # A7: 1,9 => UNS * INC # H4: 3,4 => UNS * INC # H5: 3,4 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A1: 4,6 => UNS * INC # B3: 4,6 => UNS * INC # E3: 4,6 => UNS * INC # E3: 1,2 => UNS * INC # C6: 4,6 => UNS * INC # C9: 4,6 => UNS * INC # B6: 4,9 => UNS * INC # B6: 6,7 => UNS * INC # D4: 4,9 => UNS * INC # F4: 4,9 => UNS * INC # A7: 4,9 => UNS * INC # A7: 1,3 => UNS * INC # B5: 4,6 => UNS * INC # B6: 4,6 => UNS * INC # C6: 4,6 => UNS * INC # D5: 4,6 => UNS * INC # E5: 4,6 => UNS * INC # A1: 4,6 => UNS * DIS # A8: 4,6 => CTR => A8: 3 * INC A8: 3 # A1: 4,6 => UNS * INC A8: 3 # A1: 1 => UNS * INC A8: 3 # B5: 4,6 => UNS * INC A8: 3 # B6: 4,6 => UNS * INC A8: 3 # C6: 4,6 => UNS * INC A8: 3 # D5: 4,6 => UNS * INC A8: 3 # E5: 4,6 => UNS * INC A8: 3 # A1: 4,6 => UNS * INC A8: 3 # A1: 1 => UNS * INC A8: 3 # G7: 3,4 => UNS * INC A8: 3 # G7: 2 => UNS * INC A8: 3 # H4: 3,4 => UNS * INC A8: 3 # H5: 3,4 => UNS * INC A8: 3 # A1: 4,6 => UNS * INC A8: 3 # B3: 4,6 => UNS * INC A8: 3 # E3: 4,6 => UNS * INC A8: 3 # E3: 1,2 => UNS * INC A8: 3 # C6: 4,6 => UNS * INC A8: 3 # C9: 4,6 => UNS * INC A8: 3 # B6: 4,9 => UNS * INC A8: 3 # B6: 6,7 => UNS * INC A8: 3 # D4: 4,9 => UNS * INC A8: 3 # F4: 4,9 => UNS * INC A8: 3 # A7: 4,9 => UNS * INC A8: 3 # A7: 1 => UNS * INC A8: 3 # B5: 4,6 => UNS * INC A8: 3 # B6: 4,6 => UNS * INC A8: 3 # C6: 4,6 => UNS * INC A8: 3 # D5: 4,6 => UNS * INC A8: 3 # E5: 4,6 => UNS * INC A8: 3 # A1: 4,6 => UNS * INC A8: 3 # A1: 1 => UNS * INC A8: 3 # G7: 3,4 => UNS * INC A8: 3 # G7: 2 => UNS * INC A8: 3 # H4: 3,4 => UNS * INC A8: 3 # H5: 3,4 => UNS * STA A8: 3 * CNT 55 HDP CHAINS / 55 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A1: 4,6 => UNS * INC # B3: 4,6 => UNS * INC # E3: 4,6 => UNS * INC # E3: 1,2 => UNS * INC # C6: 4,6 => UNS * INC # C9: 4,6 => UNS * INC # B6: 4,9 => UNS * INC # B6: 6,7 => UNS * INC # D4: 4,9 => UNS * INC # F4: 4,9 => UNS * INC # A7: 4,9 => UNS * INC # A7: 1 => UNS * INC # B5: 4,6 => UNS * INC # B6: 4,6 => UNS * INC # C6: 4,6 => UNS * INC # D5: 4,6 => UNS * INC # E5: 4,6 => UNS * INC # A1: 4,6 => UNS * INC # A1: 1 => UNS * INC # G7: 3,4 => UNS * INC # G7: 2 => UNS * INC # H4: 3,4 => UNS * INC # H5: 3,4 => UNS * INC # A1: 4,6 # D1: 4,6 => UNS * INC # A1: 4,6 # G1: 4,6 => UNS * INC # A1: 4,6 # H1: 4,6 => UNS * DIS # A1: 4,6 # C6: 4,6 => CTR => C6: 3 * INC # A1: 4,6 + C6: 3 # C9: 4,6 => UNS * INC # A1: 4,6 + C6: 3 # C9: 4,6 => UNS * DIS # A1: 4,6 + C6: 3 # C9: 2 => CTR => C9: 4,6 * INC # A1: 4,6 + C6: 3 + C9: 4,6 # D1: 4,6 => UNS * INC # A1: 4,6 + C6: 3 + C9: 4,6 # D2: 4,6 => UNS * INC # A1: 4,6 + C6: 3 + C9: 4,6 # E5: 4,6 => UNS * DIS # A1: 4,6 + C6: 3 + C9: 4,6 # E6: 4,6 => CTR => E6: 1,5 * INC # A1: 4,6 + C6: 3 + C9: 4,6 + E6: 1,5 # E5: 4,6 => UNS * PRF # A1: 4,6 + C6: 3 + C9: 4,6 + E6: 1,5 # E5: 2,5 => SOL * STA # A1: 4,6 + C6: 3 + C9: 4,6 + E6: 1,5 + E5: 2,5 * CNT 36 HDP CHAINS / 37 HYP OPENED