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Killer Combinations
From sudokuwiki.com, the puzzle solver's site
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Each clue in each cage will give rise to a certain set of combinations of numbers for each cell. It is a converntion of Killer Sudoku that no cage will duplicate a number (even if it dog-legs through several 3 by 3 boxes).

Some cages will not be very helpful but certain combinations, such as these listed here mean that the total number of possible numbers is equal to the cage size. In the first, for example, a clue of 3 in a cage of size 2 can only have 1 and 2 in it. These means you can remove 3 to 9 from those cells.
ClueCage SizeCombinations 
321,2
421,3
1627,9
1728,9
631,2,3
731,2,4
2336,8,9
2437,8,9
1041,2,3,4
1141,2,3,5
2945,7,8,9
3046,7,8,9
1551,2,3,4,5
1651,2,3,4,6
3454,6,7,8,9
3555,6,7,8,9
2161,2,3,4,5,6
2261,2,3,4,5,7
3863,5,6,7,8,9
3964,5,6,7,8,9
2871,2,3,4,5,6,7
2971,2,3,4,5,6,8
4172,4,5,6,7,8,9
4273,4,5,6,7,8,9
Any81-9 except 45
minus clue value
Any91-9 inclusive
The absolutely exhaustive combination of all cage clues and cage sizes is
Cage SizeCage ValueCombination 
231/2
241/3
251/4
252/3
261/5
262/4
271/6
272/5
273/4
281/7
282/6
283/5
291/8
292/7
293/6
294/5
2101/9
2102/8
2103/7
2104/6
2112/9
2113/8
2114/7
2115/6
2123/9
2124/8
2125/7
2134/9
2135/8
2136/7
2145/9
2146/8
2156/9
2157/8
2167/9
2178/9
361/2/3
371/2/4
381/2/5
381/3/4
391/2/6
391/3/5
392/3/4
3101/2/7
3101/3/6
3101/4/5
3102/3/5
3111/2/8
3111/3/7
3111/4/6
3112/3/6
3112/4/5
3121/2/9
3121/3/8
3121/4/7
3121/5/6
3122/3/7
3122/4/6
3123/4/5
3131/3/9
3131/4/8
3131/5/7
3132/3/8
3132/4/7
3132/5/6
3133/4/6
3141/4/9
3141/5/8
3141/6/7
3142/3/9
3142/4/8
3142/5/7
3143/4/7
3143/5/6
3151/5/9
3151/6/8
3152/4/9
3152/5/8
3152/6/7
3153/4/8
3153/5/7
3154/5/6
3161/6/9
3161/7/8
3162/5/9
3162/6/8
3163/4/9
3163/5/8
3163/6/7
3164/5/7
3171/7/9
3172/6/9
3172/7/8
3173/5/9
3173/6/8
3174/5/8
3174/6/7
3181/8/9
3182/7/9
3183/6/9
3183/7/8
3184/5/9
3184/6/8
3185/6/7
3192/8/9
3193/7/9
3194/6/9
3194/7/8
3195/6/8
3203/8/9
3204/7/9
3205/6/9
3205/7/8
3214/8/9
3215/7/9
3216/7/8
3225/8/9
3226/7/9
3236/8/9
3247/8/9
4101/2/3/4
4111/2/3/5
4121/2/3/6
4121/2/4/5
4131/2/3/7
4131/2/4/6
4131/3/4/5
4141/2/3/8
4141/2/4/7
4141/2/5/6
4141/3/4/6
4142/3/4/5
4151/2/3/9
4151/2/4/8
4151/2/5/7
4151/3/4/7
4151/3/5/6
4152/3/4/6
4161/2/4/9
4161/2/5/8
4161/2/6/7
4161/3/4/8
4161/3/5/7
4161/4/5/6
4162/3/4/7
4162/3/5/6
4171/2/5/9
4171/2/6/8
4171/3/4/9
4171/3/5/8
4171/3/6/7
4171/4/5/7
4172/3/4/8
4172/3/5/7
4172/4/5/6
4181/2/6/9
4181/2/7/8
4181/3/5/9
4181/3/6/8
4181/4/5/8
4181/4/6/7
4182/3/4/9
4182/3/5/8
4182/3/6/7
4182/4/5/7
4183/4/5/6
4191/2/7/9
4191/3/6/9
4191/3/7/8
4191/4/5/9
4191/4/6/8
4191/5/6/7
4192/3/5/9
4192/3/6/8
4192/4/5/8
4192/4/6/7
4193/4/5/7
4201/2/8/9
4201/3/7/9
4201/4/6/9
4201/4/7/8
4201/5/6/8
4202/3/6/9
4202/3/7/8
4202/4/5/9
4202/4/6/8
4202/5/6/7
4203/4/5/8
4203/4/6/7
4211/3/8/9
4211/4/7/9
4211/5/6/9
4211/5/7/8
4212/3/7/9
4212/4/6/9
4212/4/7/8
4212/5/6/8
4213/4/5/9
4213/4/6/8
4213/5/6/7
4221/4/8/9
4221/5/7/9
4221/6/7/8
4222/3/8/9
4222/4/7/9
4222/5/6/9
4222/5/7/8
4223/4/6/9
4223/4/7/8
4223/5/6/8
4224/5/6/7
4231/5/8/9
4231/6/7/9
4232/4/8/9
4232/5/7/9
4232/6/7/8
4233/4/7/9
4233/5/6/9
4233/5/7/8
4234/5/6/8
4241/6/8/9
4242/5/8/9
4242/6/7/9
4243/4/8/9
4243/5/7/9
4243/6/7/8
4244/5/6/9
4244/5/7/8
4251/7/8/9
4252/6/8/9
4253/5/8/9
4253/6/7/9
4254/5/7/9
4254/6/7/8
4262/7/8/9
4263/6/8/9
4264/5/8/9
4264/6/7/9
4265/6/7/8
4273/7/8/9
4274/6/8/9
4275/6/7/9
4284/7/8/9
4285/6/8/9
4295/7/8/9
4306/7/8/9
5151/2/3/4/5
5161/2/3/4/6
5171/2/3/4/7
5171/2/3/5/6
5181/2/3/4/8
5181/2/3/5/7
5181/2/4/5/6
5191/2/3/4/9
5191/2/3/5/8
5191/2/3/6/7
5191/2/4/5/7
5191/3/4/5/6
5201/2/3/5/9
5201/2/3/6/8
5201/2/4/5/8
5201/2/4/6/7
5201/3/4/5/7
5202/3/4/5/6
5211/2/3/6/9
5211/2/3/7/8
5211/2/4/5/9
5211/2/4/6/8
5211/2/5/6/7
5211/3/4/5/8
5211/3/4/6/7
5212/3/4/5/7
5221/2/3/7/9
5221/2/4/6/9
5221/2/4/7/8
5221/2/5/6/8
5221/3/4/5/9
5221/3/4/6/8
5221/3/5/6/7
5222/3/4/5/8
5222/3/4/6/7
5231/2/3/8/9
5231/2/4/7/9
5231/2/5/6/9
5231/2/5/7/8
5231/3/4/6/9
5231/3/4/7/8
5231/3/5/6/8
5231/4/5/6/7
5232/3/4/5/9
5232/3/4/6/8
5232/3/5/6/7
5241/2/4/8/9
5241/2/5/7/9
5241/2/6/7/8
5241/3/4/7/9
5241/3/5/6/9
5241/3/5/7/8
5241/4/5/6/8
5242/3/4/6/9
5242/3/4/7/8
5242/3/5/6/8
5242/4/5/6/7
5251/2/5/8/9
5251/2/6/7/9
5251/3/4/8/9
5251/3/5/7/9
5251/3/6/7/8
5251/4/5/6/9
5251/4/5/7/8
5252/3/4/7/9
5252/3/5/6/9
5252/3/5/7/8
5252/4/5/6/8
5253/4/5/6/7
5261/2/6/8/9
5261/3/5/8/9
5261/3/6/7/9
5261/4/5/7/9
5261/4/6/7/8
5262/3/4/8/9
5262/3/5/7/9
5262/3/6/7/8
5262/4/5/6/9
5262/4/5/7/8
5263/4/5/6/8
5271/2/7/8/9
5271/3/6/8/9
5271/4/5/8/9
5271/4/6/7/9
5271/5/6/7/8
5272/3/5/8/9
5272/3/6/7/9
5272/4/5/7/9
5272/4/6/7/8
5273/4/5/6/9
5273/4/5/7/8
5281/3/7/8/9
5281/4/6/8/9
5281/5/6/7/9
5282/3/6/8/9
5282/4/5/8/9
5282/4/6/7/9
5282/5/6/7/8
5283/4/5/7/9
5283/4/6/7/8
5291/4/7/8/9
5291/5/6/8/9
5292/3/7/8/9
5292/4/6/8/9
5292/5/6/7/9
5293/4/5/8/9
5293/4/6/7/9
5293/5/6/7/8
5301/5/7/8/9
5302/4/7/8/9
5302/5/6/8/9
5303/4/6/8/9
5303/5/6/7/9
5304/5/6/7/8
5311/6/7/8/9
5312/5/7/8/9
5313/4/7/8/9
5313/5/6/8/9
5314/5/6/7/9
5322/6/7/8/9
5323/5/7/8/9
5324/5/6/8/9
5333/6/7/8/9
5334/5/7/8/9
5344/6/7/8/9
5355/6/7/8/9
6211/2/3/4/5/6
6221/2/3/4/5/7
6231/2/3/4/5/8
6231/2/3/4/6/7
6241/2/3/4/5/9
6241/2/3/4/6/8
6241/2/3/5/6/7
6251/2/3/4/6/9
6251/2/3/4/7/8
6251/2/3/5/6/8
6251/2/4/5/6/7
6261/2/3/4/7/9
6261/2/3/5/6/9
6261/2/3/5/7/8
6261/2/4/5/6/8
6261/3/4/5/6/7
6271/2/3/4/8/9
6271/2/3/5/7/9
6271/2/3/6/7/8
6271/2/4/5/6/9
6271/2/4/5/7/8
6271/3/4/5/6/8
6272/3/4/5/6/7
6281/2/3/5/8/9
6281/2/3/6/7/9
6281/2/4/5/7/9
6281/2/4/6/7/8
6281/3/4/5/6/9
6281/3/4/5/7/8
6282/3/4/5/6/8
6291/2/3/6/8/9
6291/2/4/5/8/9
6291/2/4/6/7/9
6291/2/5/6/7/8
6291/3/4/5/7/9
6291/3/4/6/7/8
6292/3/4/5/6/9
6292/3/4/5/7/8
6301/2/3/7/8/9
6301/2/4/6/8/9
6301/2/5/6/7/9
6301/3/4/5/8/9
6301/3/4/6/7/9
6301/3/5/6/7/8
6302/3/4/5/7/9
6302/3/4/6/7/8
6311/2/4/7/8/9
6311/2/5/6/8/9
6311/3/4/6/8/9
6311/3/5/6/7/9
6311/4/5/6/7/8
6312/3/4/5/8/9
6312/3/4/6/7/9
6312/3/5/6/7/8
6321/2/5/7/8/9
6321/3/4/7/8/9
6321/3/5/6/8/9
6321/4/5/6/7/9
6322/3/4/6/8/9
6322/3/5/6/7/9
6322/4/5/6/7/8
6331/2/6/7/8/9
6331/3/5/7/8/9
6331/4/5/6/8/9
6332/3/4/7/8/9
6332/3/5/6/8/9
6332/4/5/6/7/9
6333/4/5/6/7/8
6341/3/6/7/8/9
6341/4/5/7/8/9
6342/3/5/7/8/9
6342/4/5/6/8/9
6343/4/5/6/7/9
6351/4/6/7/8/9
6352/3/6/7/8/9
6352/4/5/7/8/9
6353/4/5/6/8/9
6361/5/6/7/8/9
6362/4/6/7/8/9
6363/4/5/7/8/9
6372/5/6/7/8/9
6373/4/6/7/8/9
6383/5/6/7/8/9
6394/5/6/7/8/9
7281/2/3/4/5/6/7
7291/2/3/4/5/6/8
7301/2/3/4/5/6/9
7301/2/3/4/5/7/8
7311/2/3/4/5/7/9
7311/2/3/4/6/7/8
7321/2/3/4/5/8/9
7321/2/3/4/6/7/9
7321/2/3/5/6/7/8
7331/2/3/4/6/8/9
7331/2/3/5/6/7/9
7331/2/4/5/6/7/8
7341/2/3/4/7/8/9
7341/2/3/5/6/8/9
7341/2/4/5/6/7/9
7341/3/4/5/6/7/8
7351/2/3/5/7/8/9
7351/2/4/5/6/8/9
7351/3/4/5/6/7/9
7352/3/4/5/6/7/8
7361/2/3/6/7/8/9
7361/2/4/5/7/8/9
7361/3/4/5/6/8/9
7362/3/4/5/6/7/9
7371/2/4/6/7/8/9
7371/3/4/5/7/8/9
7372/3/4/5/6/8/9
7381/2/5/6/7/8/9
7381/3/4/6/7/8/9
7382/3/4/5/7/8/9
7391/3/5/6/7/8/9
7392/3/4/6/7/8/9
7401/4/5/6/7/8/9
7402/3/5/6/7/8/9
7412/4/5/6/7/8/9
7423/4/5/6/7/8/9
8361/2/3/4/5/6/7/8
8371/2/3/4/5/6/7/9
8381/2/3/4/5/6/8/9
8391/2/3/4/5/7/8/9
8401/2/3/4/6/7/8/9
8411/2/3/5/6/7/8/9
8421/2/4/5/6/7/8/9
8431/3/4/5/6/7/8/9
8442/3/4/5/6/7/8/9


Article created on 19-November-2008. Views: 2871
This page was last modified on 19-November-2008, at 16:16.
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