Analysis of zz-www.sudokuwiki.org-0317-base.sdk
Contents
Sudoku from http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=317
level: deep
position: 98.76....6.....9...54......7..3..2...4.....5...8..1......69...3....3.7.......8.1. initial
Autosolve
position: 98.76....6.....9...54......7..3..2...4.....5...8..1......69...3...13.7.......8.1. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000008
List of important HDP chains detected for D3,F3: 9..:
* DIS # D3: 9 # H3: 2,3 => CTR => H3: 6,7,8 * DIS # D3: 9 + H3: 6,7,8 # C4: 6,9 => CTR => C4: 1,5 * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 # H4: 6,9 => CTR => H4: 4,8 * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 # I4: 6,9 => CTR => I4: 1,4,8 * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 # A7: 1,2 => CTR => A7: 4,5,8 * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 + A7: 4,5,8 # C7: 1,2 => CTR => C7: 5 * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 + A7: 4,5,8 + C7: 5 # I2: 8 => CTR => I2: 4,5 * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 + A7: 4,5,8 + C7: 5 + I2: 4,5 # D9: 2 => CTR => D9: 4,5 * DIS # F3: 9 # H3: 2,8 => CTR => H3: 3,6,7 * CNT 9 HDP CHAINS / 51 HYP OPENED
List of important HDP chains detected for F5,F7: 7..:
* DIS # F5: 7 # H3: 2,8 => CTR => H3: 3,6,7 * DIS # F5: 7 + H3: 3,6,7 # C5: 1,9 => CTR => C5: 2,3,6 * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 # D5: 2,8 => CTR => D5: 9 * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 # A3: 1,2 => CTR => A3: 3 * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 # E2: 1,2 => CTR => E2: 4,5 * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 + E2: 4,5 # C4: 5 => CTR => C4: 1,9 * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 + E2: 4,5 + C4: 1,9 # C2: 1,2 => CTR => C2: 7 * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 + E2: 4,5 + C4: 1,9 + C2: 7 # D2: 2,8 => CTR => D2: 5 * PRF # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 + E2: 4,5 + C4: 1,9 + C2: 7 + D2: 5 => SOL * STA F5: 7 * CNT 9 HDP CHAINS / 42 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
| 98.76....6.....9...54......7..3..2...4.....5...8..1......69...3....3.7.......8.1. | initial |
| 98.76....6.....9...54......7..3..2...4.....5...8..1......69...3...13.7.......8.1. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E2,E3: 1.. / E2 = 1 => 1 pairs (_) / E3 = 1 => 1 pairs (_) C4,A6: 5.. / C4 = 5 => 3 pairs (_) / A6 = 5 => 0 pairs (_) F4,F5: 6.. / F4 = 6 => 1 pairs (_) / F5 = 6 => 1 pairs (_) B2,C2: 7.. / B2 = 7 => 1 pairs (_) / C2 = 7 => 0 pairs (_) H3,I3: 7.. / H3 = 7 => 0 pairs (_) / I3 = 7 => 0 pairs (_) F7,E9: 7.. / F7 = 7 => 1 pairs (_) / E9 = 7 => 3 pairs (_) F5,F7: 7.. / F5 = 7 => 3 pairs (_) / F7 = 7 => 1 pairs (_) H3,H6: 7.. / H3 = 7 => 0 pairs (_) / H6 = 7 => 0 pairs (_) A7,A8: 8.. / A7 = 8 => 2 pairs (_) / A8 = 8 => 0 pairs (_) D3,F3: 9.. / D3 = 9 => 5 pairs (_) / F3 = 9 => 1 pairs (_) * DURATION: 0:00:06.175966 START: 17:52:50.676139 END: 17:52:56.852105 2019-04-28 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D3,F3: 9.. / D3 = 9 ==> 18 pairs (_) / F3 = 9 ==> 1 pairs (_) F5,F7: 7.. / F5 = 7 ==> 0 pairs (*) / F7 = 7 => 0 pairs (X) * DURATION: 0:01:01.695627 START: 17:52:56.852743 END: 17:53:58.548370 2019-04-28 * REASONING D3,F3: 9.. * DIS # D3: 9 # H3: 2,3 => CTR => H3: 6,7,8 * DIS # D3: 9 + H3: 6,7,8 # C4: 6,9 => CTR => C4: 1,5 * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 # H4: 6,9 => CTR => H4: 4,8 * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 # I4: 6,9 => CTR => I4: 1,4,8 * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 # A7: 1,2 => CTR => A7: 4,5,8 * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 + A7: 4,5,8 # C7: 1,2 => CTR => C7: 5 * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 + A7: 4,5,8 + C7: 5 # I2: 8 => CTR => I2: 4,5 * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 + A7: 4,5,8 + C7: 5 + I2: 4,5 # D9: 2 => CTR => D9: 4,5 * DIS # F3: 9 # H3: 2,8 => CTR => H3: 3,6,7 * CNT 9 HDP CHAINS / 51 HYP OPENED * REASONING F5,F7: 7.. * DIS # F5: 7 # H3: 2,8 => CTR => H3: 3,6,7 * DIS # F5: 7 + H3: 3,6,7 # C5: 1,9 => CTR => C5: 2,3,6 * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 # D5: 2,8 => CTR => D5: 9 * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 # A3: 1,2 => CTR => A3: 3 * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 # E2: 1,2 => CTR => E2: 4,5 * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 + E2: 4,5 # C4: 5 => CTR => C4: 1,9 * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 + E2: 4,5 + C4: 1,9 # C2: 1,2 => CTR => C2: 7 * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 + E2: 4,5 + C4: 1,9 + C2: 7 # D2: 2,8 => CTR => D2: 5 * PRF # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 + E2: 4,5 + C4: 1,9 + C2: 7 + D2: 5 => SOL * STA F5: 7 * CNT 9 HDP CHAINS / 42 HYP OPENED * DCP COUNT: (2) * SOLUTION FOUND
Header Info
http://www.sudokuwiki.org/Print_Weekly_Sudoku.asp?unsolvable=317
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D3,F3: 9..:
* INC # D3: 9 # F1: 2,3 => UNS * INC # D3: 9 # F2: 2,3 => UNS * INC # D3: 9 # A3: 2,3 => UNS * DIS # D3: 9 # H3: 2,3 => CTR => H3: 6,7,8 * INC # D3: 9 + H3: 6,7,8 # A3: 2,3 => UNS * INC # D3: 9 + H3: 6,7,8 # A3: 1 => UNS * INC # D3: 9 + H3: 6,7,8 # F1: 2,3 => UNS * INC # D3: 9 + H3: 6,7,8 # F2: 2,3 => UNS * INC # D3: 9 + H3: 6,7,8 # A3: 2,3 => UNS * INC # D3: 9 + H3: 6,7,8 # A3: 1 => UNS * INC # D3: 9 + H3: 6,7,8 # B4: 6,9 => UNS * DIS # D3: 9 + H3: 6,7,8 # C4: 6,9 => CTR => C4: 1,5 * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 # H4: 6,9 => CTR => H4: 4,8 * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 # I4: 6,9 => CTR => I4: 1,4,8 * INC # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 # E5: 2,8 => UNS * INC # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 # E5: 7 => UNS * INC # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 # D2: 2,8 => UNS * INC # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 # D2: 4,5 => UNS * INC # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 # C5: 6,9 => UNS * INC # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 # I5: 6,9 => UNS * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 # A7: 1,2 => CTR => A7: 4,5,8 * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 + A7: 4,5,8 # C7: 1,2 => CTR => C7: 5 * INC # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 + A7: 4,5,8 + C7: 5 # I2: 4,5 => UNS * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 + A7: 4,5,8 + C7: 5 # I2: 8 => CTR => I2: 4,5 * INC # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 + A7: 4,5,8 + C7: 5 + I2: 4,5 # D9: 4,5 => UNS * DIS # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 + A7: 4,5,8 + C7: 5 + I2: 4,5 # D9: 2 => CTR => D9: 4,5 * INC # D3: 9 + H3: 6,7,8 + C4: 1,5 + H4: 4,8 + I4: 1,4,8 + A7: 4,5,8 + C7: 5 + I2: 4,5 + D9: 4,5 => UNS * INC # F3: 9 # D2: 2,8 => UNS * INC # F3: 9 # E2: 2,8 => UNS * INC # F3: 9 # E3: 2,8 => UNS * DIS # F3: 9 # H3: 2,8 => CTR => H3: 3,6,7 * INC # F3: 9 + H3: 3,6,7 # I3: 2,8 => UNS * INC # F3: 9 + H3: 3,6,7 # I3: 2,8 => UNS * INC # F3: 9 + H3: 3,6,7 # I3: 1,6,7 => UNS * INC # F3: 9 + H3: 3,6,7 # D5: 2,8 => UNS * INC # F3: 9 + H3: 3,6,7 # D5: 9 => UNS * INC # F3: 9 + H3: 3,6,7 # D2: 2,8 => UNS * INC # F3: 9 + H3: 3,6,7 # E2: 2,8 => UNS * INC # F3: 9 + H3: 3,6,7 # E3: 2,8 => UNS * INC # F3: 9 + H3: 3,6,7 # I3: 2,8 => UNS * INC # F3: 9 + H3: 3,6,7 # I3: 1,6,7 => UNS * INC # F3: 9 + H3: 3,6,7 # D5: 2,8 => UNS * INC # F3: 9 + H3: 3,6,7 # D5: 9 => UNS * INC # F3: 9 + H3: 3,6,7 # D2: 2,8 => UNS * INC # F3: 9 + H3: 3,6,7 # E2: 2,8 => UNS * INC # F3: 9 + H3: 3,6,7 # E3: 2,8 => UNS * INC # F3: 9 + H3: 3,6,7 # I3: 2,8 => UNS * INC # F3: 9 + H3: 3,6,7 # I3: 1,6,7 => UNS * INC # F3: 9 + H3: 3,6,7 # D5: 2,8 => UNS * INC # F3: 9 + H3: 3,6,7 # D5: 9 => UNS * INC # F3: 9 + H3: 3,6,7 => UNS * CNT 51 HDP CHAINS / 51 HYP OPENED
Full list of HDP chains traversed for F5,F7: 7..:
* INC # F5: 7 # D2: 2,8 => UNS * INC # F5: 7 # E2: 2,8 => UNS * INC # F5: 7 # E3: 2,8 => UNS * DIS # F5: 7 # H3: 2,8 => CTR => H3: 3,6,7 * INC # F5: 7 + H3: 3,6,7 # I3: 2,8 => UNS * INC # F5: 7 + H3: 3,6,7 # I3: 2,8 => UNS * INC # F5: 7 + H3: 3,6,7 # I3: 1,6,7 => UNS * INC # F5: 7 + H3: 3,6,7 # D5: 2,8 => UNS * INC # F5: 7 + H3: 3,6,7 # D5: 9 => UNS * INC # F5: 7 + H3: 3,6,7 # D2: 2,8 => UNS * INC # F5: 7 + H3: 3,6,7 # E2: 2,8 => UNS * INC # F5: 7 + H3: 3,6,7 # E3: 2,8 => UNS * INC # F5: 7 + H3: 3,6,7 # I3: 2,8 => UNS * INC # F5: 7 + H3: 3,6,7 # I3: 1,6,7 => UNS * INC # F5: 7 + H3: 3,6,7 # D5: 2,8 => UNS * INC # F5: 7 + H3: 3,6,7 # D5: 9 => UNS * INC # F5: 7 + H3: 3,6,7 # C4: 1,9 => UNS * DIS # F5: 7 + H3: 3,6,7 # C5: 1,9 => CTR => C5: 2,3,6 * INC # F5: 7 + H3: 3,6,7 + C5: 2,3,6 # C4: 1,9 => UNS * INC # F5: 7 + H3: 3,6,7 + C5: 2,3,6 # C4: 5 => UNS * INC # F5: 7 + H3: 3,6,7 + C5: 2,3,6 # I4: 1,9 => UNS * INC # F5: 7 + H3: 3,6,7 + C5: 2,3,6 # I4: 4,8 => UNS * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 # D5: 2,8 => CTR => D5: 9 * INC # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 # D2: 2,8 => UNS * INC # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 # D2: 4,5 => UNS * INC # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 # I3: 2,8 => UNS * INC # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 # I3: 1,6,7 => UNS * INC # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 # E2: 1,2 => UNS * INC # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 # E2: 4,5 => UNS * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 # A3: 1,2 => CTR => A3: 3 * INC # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 # I3: 1,2 => UNS * INC # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 # I3: 1,2 => UNS * INC # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 # I3: 6,7,8 => UNS * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 # E2: 1,2 => CTR => E2: 4,5 * INC # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 + E2: 4,5 # C4: 1,9 => UNS * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 + E2: 4,5 # C4: 5 => CTR => C4: 1,9 * INC # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 + E2: 4,5 + C4: 1,9 # B2: 1,2 => UNS * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 + E2: 4,5 + C4: 1,9 # C2: 1,2 => CTR => C2: 7 * INC # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 + E2: 4,5 + C4: 1,9 + C2: 7 # I1: 1,2 => UNS * INC # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 + E2: 4,5 + C4: 1,9 + C2: 7 # I1: 4,5 => UNS * DIS # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 + E2: 4,5 + C4: 1,9 + C2: 7 # D2: 2,8 => CTR => D2: 5 * PRF # F5: 7 + H3: 3,6,7 + C5: 2,3,6 + D5: 9 + A3: 3 + E2: 4,5 + C4: 1,9 + C2: 7 + D2: 5 => SOL * STA F5: 7 * CNT 42 HDP CHAINS / 42 HYP OPENED