Tool/Solver to solve Kakuros automatically. Kakuro is a logic game similar to a crossword with anagrams but with digits and numbers.
Kakuro Solver - dCode
Tag(s) : Number Games
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Tool/Solver to solve Kakuros automatically. Kakuro is a logic game similar to a crossword with anagrams but with digits and numbers.
Enter the dimensions of Kakuro (including empty boxes) and click OK.
Example: A kakuro of 10x10
Then, indicate the data of Kakuro (the known boxes, the unknown boxes and especially the values of the indices / sums).
By clicking on Resolve, dCode will search for the Kakuro solution and display it.
In the original Kakuro game, the $ 0 $ digit is forbidden, but it is possible to use it in some variants.
The number of possibilities increases sharply and makes the resolution more difficult.
In mathematics, this is called a partition of a number. Here are the decompositions limited to digits, useful for Kakuro:
Number | Possible sums with 2 digits |
---|---|
3 | 1+2 |
4 | 1+3 |
5 | 1+4, 2+3 |
6 | 1+5, 2+4 |
7 | 1+6, 2+5, 3+4 |
8 | 1+7, 2+6, 3+5 |
9 | 1+8, 2+7, 3+6, 4+5 |
10 | 1+9, 2+8, 3+7, 4+6 |
11 | 2+9, 3+8, 4+7, 5+6 |
12 | 3+9, 4+8, 5+7 |
13 | 4+9, 5+8, 6+7 |
14 | 5+9, 6+8 |
15 | 6+9, 7+8 |
16 | 7+9 |
17 | 8+9 |
Number | Possible sums with 3 digits |
---|---|
6 | 1+2+3 |
7 | 1+2+4 |
8 | 1+2+5, 1+3+4 |
9 | 1+2+6, 1+3+5, 2+3+4 |
10 | 1+2+7, 1+3+6, 1+4+5, 2+3+5 |
11 | 1+2+8, 1+3+7, 1+4+6, 2+3+6, 2+4+5 |
12 | 1+2+9, 1+3+8, 1+4+7, 1+5+6, 2+3+7, 2+4+6, 3+4+5 |
13 | 1+3+9, 1+4+8, 1+5+7, 2+3+8, 2+4+7, 2+5+6, 3+4+6 |
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 |
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 |
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 |
17 | 1+7+9, 2+6+9, 2+7+8, 3+5+9, 3+6+8, 4+5+8, 4+6+7 |
18 | 1+8+9, 2+7+9, 3+6+9, 3+7+8, 4+5+9, 4+6+8, 5+6+7 |
19 | 2+8+9, 3+7+9, 4+6+9, 4+7+8, 5+6+8 |
20 | 3+8+9, 4+7+9, 5+6+9, 5+7+8 |
21 | 4+8+9, 5+7+9, 6+7+8 |
22 | 5+8+9, 6+7+9 |
23 | 6+8+9 |
24 | 7+8+9 |
Number | Possible sums with 4 digits |
---|---|
10 | 1+2+3+4 |
11 | 1+2+3+5 |
12 | 1+2+3+6, 1+2+4+5 |
13 | 1+2+3+7, 1+2+4+6, 1+3+4+5 |
14 | 1+2+3+8, 1+2+4+7, 1+2+5+6, 1+3+4+6, 2+3+4+5 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
26 | 2+7+8+9, 3+6+8+9, 4+5+8+9, 4+6+7+9, 5+6+7+8 |
27 | 3+7+8+9, 4+6+8+9, 5+6+7+9 |
28 | 4+7+8+9, 5+6+8+9 |
29 | 5+7+8+9 |
30 | 6+7+8+9 |
Number | Possible sums with 5 digits |
---|---|
15 | 1+2+3+4+5 |
16 | 1+2+3+4+6 |
17 | 1+2+3+4+7, 1+2+3+5+6 |
18 | 1+2+3+4+8, 1+2+3+5+7, 1+2+4+5+6 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
32 | 2+6+7+8+9, 3+5+7+8+9, 4+5+6+8+9 |
33 | 3+6+7+8+9, 4+5+7+8+9 |
34 | 4+6+7+8+9 |
35 | 5+6+7+8+9 |
Number | Possible sums with 6 digits |
---|---|
21 | 1+2+3+4+5+6 |
22 | 1+2+3+4+5+7 |
23 | 1+2+3+4+5+8, 1+2+3+4+6+7 |
24 | 1+2+3+4+5+9, 1+2+3+4+6+8, 1+2+3+5+6+7 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
36 | 1+5+6+7+8+9, 2+4+6+7+8+9, 3+4+5+7+8+9 |
37 | 2+5+6+7+8+9, 3+4+6+7+8+9 |
38 | 3+5+6+7+8+9 |
39 | 4+5+6+7+8+9 |
Number | Possible sums with 7 digits |
---|---|
28 | 1+2+3+4+5+6+7 |
29 | 1+2+3+4+5+6+8 |
30 | 1+2+3+4+5+6+9, 1+2+3+4+5+7+8 |
31 | 1+2+3+4+5+7+9, 1+2+3+4+6+7+8 |
32 | 1+2+3+4+5+8+9, 1+2+3+4+6+7+9, 1+2+3+5+6+7+8 |
33 | 1+2+3+4+6+8+9, 1+2+3+5+6+7+9, 1+2+4+5+6+7+8 |
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 |
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 |
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 |
37 | 1+2+4+6+7+8+9, 1+3+4+5+7+8+9, 2+3+4+5+6+8+9 |
38 | 1+2+5+6+7+8+9, 1+3+4+6+7+8+9, 2+3+4+5+7+8+9 |
39 | 1+3+5+6+7+8+9, 2+3+4+6+7+8+9 |
40 | 1+4+5+6+7+8+9, 2+3+5+6+7+8+9 |
41 | 2+4+5+6+7+8+9 |
42 | 3+4+5+6+7+8+9 |
Number | Possible sums with 8 digits |
---|---|
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 |
Number | Possible sum with 9 digits |
---|---|
45 | 1+2+3+4+5+6+7+8+9 |
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