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Puzzles

Kakuro

Crosswords with numbers: crossing sums.

Each run of white cells must add up to the given sum, using the digits 1 to 9, all different. The grids get bigger with the level.

Players
1 player
Length
5 to 40 min
  • Solo
Play Kakuro

15 days of full access, no account · No download

Kakuro preview

How to play

Goal

Place a digit from 1 to 9 in every white cell. Each horizontal or vertical run of white cells is announced by a clue cell: the number above the diagonal gives the sum of the horizontal run that starts to its right; the number below gives the sum of the vertical run that starts underneath.

  • The digits in a run are all different.
  • A digit may repeat elsewhere in the row if it belongs to another run.

Controls

  • Tap a cell, then a digit; Notes (N key) for candidates, Auto notes to calculate them.
  • The Combinations banner shows live the possible sets of digits for the two runs of the selected cell.
  • Backspace or 0: erase. Arrow keys: move. Ctrl + Z: undo.

Techniques

  • Unique combinations: 3 in two cells is always 1 + 2; 17 in two cells is 8 + 9; 6 in three cells is 1 + 2 + 3.
  • Intersection: a cell belongs to two runs; only the digits common to their combinations are possible.
  • Required digit: a digit that appears in every combination of a run and has only one possible place.
  • At the higher levels, some hypotheses lead to a contradiction.
Tip: first spot the extreme sums (the smallest and the largest for their length), which have only one combination.

About the AI

The generator draws a symmetric template, fills it with digits, then adjusts digits and black cells until an exhaustive search confirms that the solution is unique. A logical solver based on combination tables then grades the grid by the most advanced technique it requires. That same solver provides the explained hints and the Solve button.

Difficulty levels

  1. Easy5 × 5 grid: unique combinations and single candidates.
  2. Medium7 × 7 grid: you have to cross the combinations of the rows and columns.
  3. Hard8 × 8 grid: required digits and naked pairs.
  4. Expert9 × 9 grid: requires short contradictions.
  5. Diabolical11 × 11 grid: requires deep contradictions.

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