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Kakuro Cheat Sheet

As we have seen, in Kakuro puzzles there are some clues with only one solution (like the 3 can only be made by 1 and 2), and others with a large number of possibilities. The tables below list the possibilities for all lengths of clues, with the bold entries showing the unique solutions for that clue.

As well as being useful for solving Kakuro puzzles, exactly the same principles also apply to Killer Sudoku puzzles too, so the same combinations can also be used there.

  Two Three Four
31.2  
41.3  
51 to 4  
61,2,4,51.2.3 
71 to 61.2.4 
81 to 71 to 5 
91 to 81 to 6 
10any1 to 71.2.3.4
112 to 91 to 81.2.3.5
123 to 9any1 to 6
134 to 9any1 to 7
145,6,8,9any1 to 8
156,7,8,9anyany
167.9anyany
178.9anyany
18 anyany
19 2 to 9any
20 3 to 9any
21 4 to 9any
22 5 to 9any
23 6.8.9any
24 7.8.9any
25  any
26  2 to 9
27  3 to 9
28  4 to 9
29  5.7.8.9
30  6.7.8.9
  Five Six Seven
151.2.3.4.5  
161.2.3.4.6  
171 to 7  
181 to 8  
19any  
20any  
21any1.2.3.4.5.6 
22any1.2.3.4.5.7 
23any1 to 8 
24anyany 
25anyany 
26anyany 
27anyany 
28anyany1.2.3.4.5.6.7
29anyany1.2.3.4.5.6.8
30anyanyany
31anyanyany
322 to 9anyany
333 to 9anyany
344.6.7.8.9anyany
355.6.7.8.9anyany
36 anyany
37 2 to 9any
38 3.5.6.7.8.9any
39 4.5.6.7.8.9any
40  any
41  2.4.5.6.7.8.9
42  3.4.5.6.7.8.9
  Eight Nine
361.2.3.4.5.6.7.8 
371.2.3.4.5.6.7.9 
381.2.3.4.5.6.8.9 
391.2.3.4.5.7.8.9 
401.2.3.4.6.7.8.9 
411.2.3.5.6.7.8.9 
421.2.4.5.6.7.8.9 
431.3.4.5.6.7.8.9 
442.3.4.5.6.7.8.9 
45 1.2.3.4.5.6.7.8.9

For example, the clue 7 in three squares is given as 1.2.4 which means that's the only solution (the "no repeats" rule forbids others like 2.2.3 and 1.3.3). The clue 12 in four squares is given as "1 to 6", which means it definitely contains a 1 but no numbers above 6, whereas clue 18 in four squares is just given as "any" - more clues are needed!

For a more comprehensive table showing every possible combination up to 9 squares long, see Kevin Pluck's page.