Cross sum helper

Kakuro Solver

Use the Kakuro sum combination calculator to find valid no-repeat digit sets for a clue. Enter the total, the number of cells, and any digits you want to exclude.

Sum combinations No-repeat digits Used digit filter Step-by-step friendly

Kakuro combination calculator

Most Kakuro solving starts by narrowing possible digit sets. For example, a 2-cell clue of 17 can only be 8 + 9. A 3-cell clue of 6 can only be 1 + 2 + 3.

Results

    Step-by-step Kakuro logic

    How combinations unlock Kakuro puzzles

    A Kakuro solver should not only reveal answers. The practical first step is to learn which digit sets can fit each clue. Once you compare an across set with a down set, intersections often force a single digit.

    1. Find unique combinations. Some sums have only one possible digit set, such as 4 in 2 cells = 1+3.
    2. Compare crossing runs. A cell must belong to one digit from its across clue and one digit from its down clue.
    3. Filter used digits. If a digit is already placed in a run, no other cell in that run can repeat it.
    4. Keep notes small. Write only likely candidates instead of every possible digit.

    Fast reference examples

    4 in 2 cells: 1+3 17 in 2 cells: 8+9 6 in 3 cells: 1+2+3 24 in 3 cells: 7+8+9

    Kakuro solver step by step

    Start with clue combinations, then use crossing runs to eliminate candidates until only one digit fits a cell.

    Kakuro sum combinations

    Every clue total has a limited set of no-repeat digit combinations. Learning the common ones makes solving much faster.

    Kakuro no-repeat rule

    Digits cannot repeat inside a clue run. That is why 8 in 2 cells can be 1+7, 2+6, or 3+5, but not 4+4.

    From helper to full solver

    This combination helper is the SEO-stable first version. The same logic can later power a full-grid Kakuro solver with step explanations.

    Kakuro Solver FAQ

    What does a Kakuro combination calculator do?

    It lists digit sets from 1 to 9 that add to a clue total without repeating digits inside the same Kakuro run.

    Can this solve a whole Kakuro grid?

    This first solver focuses on the most useful beginner step: finding clue combinations. Full-grid Kakuro solving can be added later on top of the same combination logic.

    How do used digits work?

    Enter digits that are already impossible or already used in the run, and the calculator removes combinations containing those digits.

    Why are repeated digits not listed?

    Kakuro runs cannot repeat digits, so combinations like 4+4 are invalid even though they add to 8.