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Killer Combinations

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.
This page was last modified on 19-November-2008, at 16:34.
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