Reference

Every kakuro combination

Every table below lists all the ways a clue can be built out of different digits, 1 to 9. A forced clue has exactly one way, so the moment you spot one you can pencil its digits straight in and go and do something else.

When a clue has several combinations it is still not keeping secrets. Any digit that turns up in every single one of them is in bold, and repeated in the last column, because that digit is certain before you have the faintest idea which combination is the right one. Those are the ones to take crossing.

Runs of 2 cells

Clues run from 3 to 17. 4 clues are forced: only one combination fits.

Clue Combinations Always uses
3 forced 1 2 all of them
4 forced 1 3 all of them
5 1 4 2 3 none
6 1 5 2 4 none
7 1 6 2 5 3 4 none
8 1 7 2 6 3 5 none
9 1 8 2 7 3 6 4 5 none
10 1 9 2 8 3 7 4 6 none
11 2 9 3 8 4 7 5 6 none
12 3 9 4 8 5 7 none
13 4 9 5 8 6 7 none
14 5 9 6 8 none
15 6 9 7 8 none
16 forced 7 9 all of them
17 forced 8 9 all of them

Runs of 3 cells

Clues run from 6 to 24. 4 clues are forced: only one combination fits.

Clue Combinations Always uses
6 forced 1 2 3 all of them
7 forced 1 2 4 all of them
8 1 2 5 1 3 4 1
9 1 2 6 1 3 5 2 3 4 none
10 1 2 7 1 3 6 1 4 5 2 3 5 none
11 1 2 8 1 3 7 1 4 6 2 3 6 2 4 5 none
12 1 2 9 1 3 8 1 4 7 1 5 6 2 3 7 2 4 6 3 4 5 none
13 1 3 9 1 4 8 1 5 7 2 3 8 2 4 7 2 5 6 3 4 6 none
14 1 4 9 1 5 8 1 6 7 2 3 9 2 4 8 2 5 7 3 4 7 3 5 6 none
15 1 5 9 1 6 8 2 4 9 2 5 8 2 6 7 3 4 8 3 5 7 4 5 6 none
16 1 6 9 1 7 8 2 5 9 2 6 8 3 4 9 3 5 8 3 6 7 4 5 7 none
17 1 7 9 2 6 9 2 7 8 3 5 9 3 6 8 4 5 8 4 6 7 none
18 1 8 9 2 7 9 3 6 9 3 7 8 4 5 9 4 6 8 5 6 7 none
19 2 8 9 3 7 9 4 6 9 4 7 8 5 6 8 none
20 3 8 9 4 7 9 5 6 9 5 7 8 none
21 4 8 9 5 7 9 6 7 8 none
22 5 8 9 6 7 9 9
23 forced 6 8 9 all of them
24 forced 7 8 9 all of them

Runs of 4 cells

Clues run from 10 to 30. 4 clues are forced: only one combination fits.

Clue Combinations Always uses
10 forced 1 2 3 4 all of them
11 forced 1 2 3 5 all of them
12 1 2 3 6 1 2 4 5 1 2
13 1 2 3 7 1 2 4 6 1 3 4 5 1
14 1 2 3 8 1 2 4 7 1 2 5 6 1 3 4 6 2 3 4 5 none
15 1 2 3 9 1 2 4 8 1 2 5 7 1 3 4 7 1 3 5 6 2 3 4 6 none
16 1 2 4 9 1 2 5 8 1 2 6 7 1 3 4 8 1 3 5 7 1 4 5 6 2 3 4 7 2 3 5 6 none
17 1 2 5 9 1 2 6 8 1 3 4 9 1 3 5 8 1 3 6 7 1 4 5 7 2 3 4 8 2 3 5 7 2 4 5 6 none
18 1 2 6 9 1 2 7 8 1 3 5 9 1 3 6 8 1 4 5 8 1 4 6 7 2 3 4 9 2 3 5 8 2 3 6 7 2 4 5 7 3 4 5 6 none
19 1 2 7 9 1 3 6 9 1 3 7 8 1 4 5 9 1 4 6 8 1 5 6 7 2 3 5 9 2 3 6 8 2 4 5 8 2 4 6 7 3 4 5 7 none
20 1 2 8 9 1 3 7 9 1 4 6 9 1 4 7 8 1 5 6 8 2 3 6 9 2 3 7 8 2 4 5 9 2 4 6 8 2 5 6 7 3 4 5 8 3 4 6 7 none
21 1 3 8 9 1 4 7 9 1 5 6 9 1 5 7 8 2 3 7 9 2 4 6 9 2 4 7 8 2 5 6 8 3 4 5 9 3 4 6 8 3 5 6 7 none
22 1 4 8 9 1 5 7 9 1 6 7 8 2 3 8 9 2 4 7 9 2 5 6 9 2 5 7 8 3 4 6 9 3 4 7 8 3 5 6 8 4 5 6 7 none
23 1 5 8 9 1 6 7 9 2 4 8 9 2 5 7 9 2 6 7 8 3 4 7 9 3 5 6 9 3 5 7 8 4 5 6 8 none
24 1 6 8 9 2 5 8 9 2 6 7 9 3 4 8 9 3 5 7 9 3 6 7 8 4 5 6 9 4 5 7 8 none
25 1 7 8 9 2 6 8 9 3 5 8 9 3 6 7 9 4 5 7 9 4 6 7 8 none
26 2 7 8 9 3 6 8 9 4 5 8 9 4 6 7 9 5 6 7 8 none
27 3 7 8 9 4 6 8 9 5 6 7 9 9
28 4 7 8 9 5 6 8 9 8 9
29 forced 5 7 8 9 all of them
30 forced 6 7 8 9 all of them

Runs of 5 cells

Clues run from 15 to 35. 4 clues are forced: only one combination fits.

Clue Combinations Always uses
15 forced 1 2 3 4 5 all of them
16 forced 1 2 3 4 6 all of them
17 1 2 3 4 7 1 2 3 5 6 1 2 3
18 1 2 3 4 8 1 2 3 5 7 1 2 4 5 6 1 2
19 1 2 3 4 9 1 2 3 5 8 1 2 3 6 7 1 2 4 5 7 1 3 4 5 6 1
20 1 2 3 5 9 1 2 3 6 8 1 2 4 5 8 1 2 4 6 7 1 3 4 5 7 2 3 4 5 6 none
21 1 2 3 6 9 1 2 3 7 8 1 2 4 5 9 1 2 4 6 8 1 2 5 6 7 1 3 4 5 8 1 3 4 6 7 2 3 4 5 7 none
22 1 2 3 7 9 1 2 4 6 9 1 2 4 7 8 1 2 5 6 8 1 3 4 5 9 1 3 4 6 8 1 3 5 6 7 2 3 4 5 8 2 3 4 6 7 none
23 1 2 3 8 9 1 2 4 7 9 1 2 5 6 9 1 2 5 7 8 1 3 4 6 9 1 3 4 7 8 1 3 5 6 8 1 4 5 6 7 2 3 4 5 9 2 3 4 6 8 2 3 5 6 7 none
24 1 2 4 8 9 1 2 5 7 9 1 2 6 7 8 1 3 4 7 9 1 3 5 6 9 1 3 5 7 8 1 4 5 6 8 2 3 4 6 9 2 3 4 7 8 2 3 5 6 8 2 4 5 6 7 none
25 1 2 5 8 9 1 2 6 7 9 1 3 4 8 9 1 3 5 7 9 1 3 6 7 8 1 4 5 6 9 1 4 5 7 8 2 3 4 7 9 2 3 5 6 9 2 3 5 7 8 2 4 5 6 8 3 4 5 6 7 none
26 1 2 6 8 9 1 3 5 8 9 1 3 6 7 9 1 4 5 7 9 1 4 6 7 8 2 3 4 8 9 2 3 5 7 9 2 3 6 7 8 2 4 5 6 9 2 4 5 7 8 3 4 5 6 8 none
27 1 2 7 8 9 1 3 6 8 9 1 4 5 8 9 1 4 6 7 9 1 5 6 7 8 2 3 5 8 9 2 3 6 7 9 2 4 5 7 9 2 4 6 7 8 3 4 5 6 9 3 4 5 7 8 none
28 1 3 7 8 9 1 4 6 8 9 1 5 6 7 9 2 3 6 8 9 2 4 5 8 9 2 4 6 7 9 2 5 6 7 8 3 4 5 7 9 3 4 6 7 8 none
29 1 4 7 8 9 1 5 6 8 9 2 3 7 8 9 2 4 6 8 9 2 5 6 7 9 3 4 5 8 9 3 4 6 7 9 3 5 6 7 8 none
30 1 5 7 8 9 2 4 7 8 9 2 5 6 8 9 3 4 6 8 9 3 5 6 7 9 4 5 6 7 8 none
31 1 6 7 8 9 2 5 7 8 9 3 4 7 8 9 3 5 6 8 9 4 5 6 7 9 9
32 2 6 7 8 9 3 5 7 8 9 4 5 6 8 9 8 9
33 3 6 7 8 9 4 5 7 8 9 7 8 9
34 forced 4 6 7 8 9 all of them
35 forced 5 6 7 8 9 all of them

Runs of 6 cells

Clues run from 21 to 39. 4 clues are forced: only one combination fits.

Clue Combinations Always uses
21 forced 1 2 3 4 5 6 all of them
22 forced 1 2 3 4 5 7 all of them
23 1 2 3 4 5 8 1 2 3 4 6 7 1 2 3 4
24 1 2 3 4 5 9 1 2 3 4 6 8 1 2 3 5 6 7 1 2 3
25 1 2 3 4 6 9 1 2 3 4 7 8 1 2 3 5 6 8 1 2 4 5 6 7 1 2
26 1 2 3 4 7 9 1 2 3 5 6 9 1 2 3 5 7 8 1 2 4 5 6 8 1 3 4 5 6 7 1
27 1 2 3 4 8 9 1 2 3 5 7 9 1 2 3 6 7 8 1 2 4 5 6 9 1 2 4 5 7 8 1 3 4 5 6 8 2 3 4 5 6 7 none
28 1 2 3 5 8 9 1 2 3 6 7 9 1 2 4 5 7 9 1 2 4 6 7 8 1 3 4 5 6 9 1 3 4 5 7 8 2 3 4 5 6 8 none
29 1 2 3 6 8 9 1 2 4 5 8 9 1 2 4 6 7 9 1 2 5 6 7 8 1 3 4 5 7 9 1 3 4 6 7 8 2 3 4 5 6 9 2 3 4 5 7 8 none
30 1 2 3 7 8 9 1 2 4 6 8 9 1 2 5 6 7 9 1 3 4 5 8 9 1 3 4 6 7 9 1 3 5 6 7 8 2 3 4 5 7 9 2 3 4 6 7 8 none
31 1 2 4 7 8 9 1 2 5 6 8 9 1 3 4 6 8 9 1 3 5 6 7 9 1 4 5 6 7 8 2 3 4 5 8 9 2 3 4 6 7 9 2 3 5 6 7 8 none
32 1 2 5 7 8 9 1 3 4 7 8 9 1 3 5 6 8 9 1 4 5 6 7 9 2 3 4 6 8 9 2 3 5 6 7 9 2 4 5 6 7 8 none
33 1 2 6 7 8 9 1 3 5 7 8 9 1 4 5 6 8 9 2 3 4 7 8 9 2 3 5 6 8 9 2 4 5 6 7 9 3 4 5 6 7 8 none
34 1 3 6 7 8 9 1 4 5 7 8 9 2 3 5 7 8 9 2 4 5 6 8 9 3 4 5 6 7 9 9
35 1 4 6 7 8 9 2 3 6 7 8 9 2 4 5 7 8 9 3 4 5 6 8 9 8 9
36 1 5 6 7 8 9 2 4 6 7 8 9 3 4 5 7 8 9 7 8 9
37 2 5 6 7 8 9 3 4 6 7 8 9 6 7 8 9
38 forced 3 5 6 7 8 9 all of them
39 forced 4 5 6 7 8 9 all of them

Runs of 7 cells

Clues run from 28 to 42. 4 clues are forced: only one combination fits.

Clue Combinations Always uses
28 forced 1 2 3 4 5 6 7 all of them
29 forced 1 2 3 4 5 6 8 all of them
30 1 2 3 4 5 6 9 1 2 3 4 5 7 8 1 2 3 4 5
31 1 2 3 4 5 7 9 1 2 3 4 6 7 8 1 2 3 4 7
32 1 2 3 4 5 8 9 1 2 3 4 6 7 9 1 2 3 5 6 7 8 1 2 3
33 1 2 3 4 6 8 9 1 2 3 5 6 7 9 1 2 4 5 6 7 8 1 2 6
34 1 2 3 4 7 8 9 1 2 3 5 6 8 9 1 2 4 5 6 7 9 1 3 4 5 6 7 8 1
35 1 2 3 5 7 8 9 1 2 4 5 6 8 9 1 3 4 5 6 7 9 2 3 4 5 6 7 8 5
36 1 2 3 6 7 8 9 1 2 4 5 7 8 9 1 3 4 5 6 8 9 2 3 4 5 6 7 9 9
37 1 2 4 6 7 8 9 1 3 4 5 7 8 9 2 3 4 5 6 8 9 4 8 9
38 1 2 5 6 7 8 9 1 3 4 6 7 8 9 2 3 4 5 7 8 9 7 8 9
39 1 3 5 6 7 8 9 2 3 4 6 7 8 9 3 6 7 8 9
40 1 4 5 6 7 8 9 2 3 5 6 7 8 9 5 6 7 8 9
41 forced 2 4 5 6 7 8 9 all of them
42 forced 3 4 5 6 7 8 9 all of them

Runs of 8 cells

Clues run from 36 to 44. 9 clues are forced: only one combination fits.

Clue Combinations Always uses
36 forced 1 2 3 4 5 6 7 8 all of them
37 forced 1 2 3 4 5 6 7 9 all of them
38 forced 1 2 3 4 5 6 8 9 all of them
39 forced 1 2 3 4 5 7 8 9 all of them
40 forced 1 2 3 4 6 7 8 9 all of them
41 forced 1 2 3 5 6 7 8 9 all of them
42 forced 1 2 4 5 6 7 8 9 all of them
43 forced 1 3 4 5 6 7 8 9 all of them
44 forced 2 3 4 5 6 7 8 9 all of them

Runs of 9 cells

Clues run from 45 to 45. 1 clue is forced: only one combination fits.

Clue Combinations Always uses
45 forced 1 2 3 4 5 6 7 8 9 all of them

Or let the chart come to you

Catkuro keeps this whole chart in its head so you do not have to. Pick a square and the combinations for both of its runs appear right under the board, trimming themselves as digits land. Every one of its 2,000+ puzzles is free, the digits are nine cats, and no ad ever interrupts a solve.