Kakuro combination finder
Type the clue and the length of the run. Every valid combination appears below — all of them, and only them.
A kakuro run holds distinct digits 1 to 9 that add to the clue. That is the whole rule, and it is enough to pin down a surprising number of squares before you write anything else. A 4-in-2 can only be 1+3. A 30-in-4 can only be 6+7+8+9. Those are the openings.
This list is worked out by trying every possible set, in your browser, each time you change a number. It is not copied from a chart, so there is nothing to be out of date.
Your numbers
Runs in your browser. Nothing you type is stored or sent anywhere.
Worked example
10 across four squares. There is exactly one answer: 1+2+3+4. Nothing else works, because those are the four smallest digits there are. All four squares are settled before you look at a single crossing clue; you only have to work out the order.
30 across four squares is the mirror image: only 6+7+8+9. So is 24 across three, which can only be 7+8+9, and 4 across two, which can only be 1+3.
24 across four squares, by contrast, has eight answers, and 17 across four has nine. Those runs are solved from their crossings, not from the clue — which is exactly what the two summary lines above are for. Type any of these in and check.
How it's calculated
The tool enumerates every subset of the digits 1–9 of the length you asked for, keeps the ones adding to your clue, and discards the rest. Because the digits in a run must be distinct and there are only nine of them, the search is tiny and exhaustive — there is no sampling and no shortcut, so the list is complete by construction.
Digits in every combination are forced: whatever the answer turns out to be, those digits are somewhere in the run. Digits in none of them can be struck out of the whole run immediately. Those two lines are usually worth more than the combination list itself.
Minimum for a run of n is 1+2+…+n and the maximum is 9+8+…; a clue outside that range has no answer, which normally means a misread grid.
Get the full workbook
Kakuro Puzzles: From Beginner to Master is 150 cross-sums puzzles from 6×6 to 12×12 in six levels, one per page, with a step-by-step worked solve and a full answer grid for every puzzle. Every puzzle has exactly one solution and can be finished by deduction alone — no guessing — and that was checked by a second program written separately from the one that made the puzzles.
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