LEARN KAKURO
Kakuro rules: learn how to solve a puzzle
To solve Kakuro, fill every run of white cells to reach its clue sum. Use digits 1 to 9 without repetition inside a run.
Updated · AE Book Studio
Across and down clues
Inside black cells, one clue applies to the across run and the other to the down run. Follow the direction carefully before writing.
A run ends at the next black cell or the grid edge.
No repeated digits
To make 4 in two cells, 2+2 is forbidden, leaving only 1+3. To make 6 in three cells, 1+2+3 is forced. This rule quickly narrows possibilities.
Repetition is forbidden only within the run in question.
Start with constrained sums
Look for short runs with very low or high totals. Write their combinations, then compare them with the runs crossing each cell.
A cell keeps only digits shared by its horizontal and vertical possibilities.
Verify without guessing
Before placing a digit, check the remaining sum, empty-cell count and digits already used. If several choices remain, keep them as candidates.
A unique-solution grid can be resolved through consistent restrictions without random trials.
FAQ
Frequently asked questions
Which digits are used?
The digits 1 through 9.
Is zero allowed?
No, not in white cells of a standard Kakuro.
Can two runs share a digit?
Yes. The no-repeat rule applies separately to each run.