Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
FredSimons`SudokuHints`
ReduceClues |
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Details and Options
Examples
(2)
Basic Examples
(2)
This gives a standard sudoku of about 29 clues that can be solved with the rules Single and HiddenSingle:
In[1]:=
rules={"Single","HiddenSingle"};Whilesud=
[],
29;info=
[sud,rules];KeyExistsQ[info,"BackTracking"];sudinfo
 | ExtendSudoku |
 | Sudoku |
| MaxClues |
| SudokuInfo |
Out[3]=
Out[4]=
Solutions1,Clues29,Singles12
This reduces the clues of the sudoku:
In[5]:=
 | ReduceClues |
10WxfKFJHolsANJ6HpedL4Vd4Cj%Sh1hnsnLEndkR$KxiSolutions1,Clues28,Singles12
10saWXd$PNiMSVjt!O4KDYyFXgd@37%gnDNIK@#w6XTcmSolutions1,Clues28,Singles14
10saWXd$PNiMSVjt!O4KDYyFXgd@38BzRij!bxX6GT@g0Solutions1,Clues28,Singles14
10saWXd$PNiMSVjt!O4KDYyFXgd@38BzRiltFW$D5xTEGSolutions1,Clues28,Singles12
10WxfKFJHolq8%k1om!#QwR%sCtfRwl!Ac@8H2oVLBiM0Solutions1,Clues27,Singles12
10WxfKFJHolsANJ6HpedL4Vd4Cj%Sh1hnsnLEndkR1lg0Solutions1,Clues27,Singles14
10WxfKFJHolsANJ6HpedL4Vd4Cj%Sh1hnslSb87dbeE1qSolutions1,Clues27,Singles14
10WxfKFJHolsANJ6FLBQ%iOvIX3qE4O@IJZ2NB1jmPV88Solutions1,Clues27,Singles13
10WxBH3&hGbF1QIIfQ4V7N12CWr4eXzMHqeo%&ZAw1uOuSolutions1,Clues26,Singles14
10WxfKFJHolq8%k1om!#QwR%sCtfRwl!AczFdTIOUsbW8Solutions1,Clues26,Singles14
10WxfKFBQP#ncTG&ZxBfSTJEn$jF2BqN4bKjL0FFOM#AmSolutions1,Clues26,Singles15
10WxBH3&hGbF1QIIfQ4V7N12CWr4eXzMHqcwLQ33&inY#Solutions1,Clues25,Singles15
10WxBH3&hGbF1QIIfQ4V7N12B9WYd5bb4u1V!8AQp8x%WSolutions1,Clues25,Singles18,HiddenSingles5
10WxBH3&hGbF1QIIfQ4V7N12CWr4eXm3dLGE4UYtvmFViSolutions1,Clues25,Singles14,HiddenSingles2
10WxBH3xpxsCUuvGQaL88zyI8HgkEs$pBo%K2#&!zD8DaSolutions1,Clues25,Singles15,HiddenSingles3
10WxBH3&hGbF1QIIfQ4V7N12CWr4eXm3dLELQv2m&N8fqSolutions1,Clues24,Singles18,HiddenSingles2
10WxBH3&hGbE&6eHRDblQlmc!3LXhyFg$v%JcSjBk0qBiSolutions1,Clues24,Singles17,HiddenSingles2
10WxBH3&hGbE&6eHRDblQlmc!3LXhy2OJQfohxiujlBIWSolutions1,Clues23,Singles14,HiddenSingles4
We construct a double sudoku with one common block , about 54 clues and a unique soluton. Then we reduce the clues with only three rules, Single, HiddenSingle and BackTracking. When we see a result with BackTracking in the info, this only means that the sudoku cannot be solved with the rules Single and HiddenSingle alone.
In[1]:=
sud=
[{1,1},{7,7}],
True,
54;
[sud,{"Single","HiddenSingle","BackTracking"},#["Clues"]<46&]
 | ExtendSudoku |
| Sudoku |
| ExcludeCommonCells |
| MaxClues |
| ReduceClues |
9ItkyhbxAU%6@hDG0jxKy%bFjSh4PrWe!pC%J&ymontB!vPOgVTCMgC7$XYa$HxHXsg8m!pTICCbVdJ||439117p3D@gSolutions1,Clues45,Singles4,HiddenSingles5,BackTracking1
9ItkyhbxAU%6@hDG0jxKy%bFjSh4PrXABLPxUDZV%l44qklWqaLRU$GJu3ctZlTRuDvP@ldU3s6jf6t||439117p3D@gSolutions1,Clues45,Singles18,HiddenSingles5
9ItkyhbxAU%6@hDG0jxKy%bFjSh4PrXABLPxUDZV%l44qklWqaLRU$GJu3ctZlTRuDvWypH!50k#rzH||439117p3D@gSolutions1,Clues45,Singles27,HiddenSingles1
9ItkyhbxAU%6@hDG0jxKy%bFjSh4PrWe!pC%J&ymont5PG%1wUB%i88FddPrm4ACLmTYyqcopMevV5R||439117p3D@gSolutions1,Clues44,Singles4,HiddenSingles5,BackTracking1
9ItkyhbxAU%6@hDG0jxKy%bFjSh4PrWe!pC%J&ymontB!vPOgVTCMgC7$XYa$HxHXsg8m!pTICCbVdE||439117p3D@gSolutions1,Clues44,Singles2,HiddenSingles5,BackTracking1
9ItkyhbxAU%6@hDG0jxKy%bFjSh4PrWe!pC%J&ymontB!vPOgVTCMgC7$XYa$HxHXsg1px4$G$eIIql||439117p3D@gSolutions1,Clues44,Singles4,HiddenSingles5,BackTracking1
9ItkyhbxAU%6@hDG0jxKy%bFjSh4PrWe!pC%J&ymont5PG%1wUB%i88FddPrm49#3WuSADHR0WEPMql||439117p3D@gSolutions1,Clues43,Singles4,HiddenSingles5,BackTracking1
9ItkyhbxAU%6@hDG0jxKy%bFjSh4PrWe!pC%J&ymont5PG%1wUB%i88FddPrm49#3WuLD9c!&Hg69%7||439117p3D@gSolutions1,Clues42,Singles4,HiddenSingles5,BackTracking1
9ItkyhbxAU%6@hDG0jxKy%bFjSh4PrWe!pC%J&ymont5PG%1wUB%i88FddPrm49#3WuSADHR0WEPMqb||439117p3D@gSolutions1,Clues42,Singles4,HiddenSingles5,BackTracking1
9ItkyhbxAU%6@hDG0jxKy%bFiw$XXYa6EaSYnXO7oB&xwq6dHzDAaNFqX$pWWvevEu2eeD!ANcphvkN||439117p3D@gSolutions1,Clues42,Singles4,HiddenSingles4,BackTracking1
9ItkyhbxAU%6@hDG0jxKy%bFjSh4PrWe!pC%J&ymont5PG%1wUB%i88FddPrm49#3WuLD9c!&HeE@Ut||439117p3D@gSolutions1,Clues41,Singles3,HiddenSingles5,BackTracking1
9ItkyhbxAU%6@hDG0jxKy%bFjSh4PrWe!pC%J&ymont5PG%1wUB%i88FddPrm49#3WuLD9c!&Hg69$$||439117p3D@gSolutions1,Clues41,Singles4,HiddenSingles5,BackTracking1
9ItkyhbxAU%6@hDG0jxKy%bFjSh4PrWe!pC%J&ymont5PG%1wUB%i88FddPrm49#3WuLD9c!&HeE@Uj||439117p3D@gSolutions1,Clues40,Singles3,HiddenSingles5,BackTracking1
In[2]:=
| SudokuInfo |
Out[2]=
Solutions1,Clues44,Singles25,HiddenSingles8,CandidateSets3,HiddenPairs1,Pairs1,ThreeGroups1,XYChains1
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""