# 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 3 1.2 4 1.3 5 1 to 4 6 1,2,4,5 1.2.3 7 1 to 6 1.2.4 8 1 to 7 1 to 5 9 1 to 8 1 to 6 10 any 1 to 7 1.2.3.4 11 2 to 9 1 to 8 1.2.3.5 12 3 to 9 any 1 to 6 13 4 to 9 any 1 to 7 14 5,6,8,9 any 1 to 8 15 6,7,8,9 any any 16 7.9 any any 17 8.9 any any 18 any any 19 2 to 9 any 20 3 to 9 any 21 4 to 9 any 22 5 to 9 any 23 6.8.9 any 24 7.8.9 any 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 15 1.2.3.4.5 16 1.2.3.4.6 17 1 to 7 18 1 to 8 19 any 20 any 21 any 1.2.3.4.5.6 22 any 1.2.3.4.5.7 23 any 1 to 8 24 any any 25 any any 26 any any 27 any any 28 any any 1.2.3.4.5.6.7 29 any any 1.2.3.4.5.6.8 30 any any any 31 any any any 32 2 to 9 any any 33 3 to 9 any any 34 4.6.7.8.9 any any 35 5.6.7.8.9 any any 36 any any 37 2 to 9 any 38 3.5.6.7.8.9 any 39 4.5.6.7.8.9 any 40 any 41 2.4.5.6.7.8.9 42 3.4.5.6.7.8.9
 Eight Nine 36 1.2.3.4.5.6.7.8 37 1.2.3.4.5.6.7.9 38 1.2.3.4.5.6.8.9 39 1.2.3.4.5.7.8.9 40 1.2.3.4.6.7.8.9 41 1.2.3.5.6.7.8.9 42 1.2.4.5.6.7.8.9 43 1.3.4.5.6.7.8.9 44 2.3.4.5.6.7.8.9 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.