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Kakuro

Number-crossword — fill each run so it adds up to its clue.

How to play

  1. Fill every white cell with a digit from 1 to 9.
  2. A clue sits on a dark cell: the top-right number is the sum of the run to its right; the bottom-left number is the sum of the run below.
  3. Every run must total its clue — and a digit can appear only once within a run.

Controls

Techniques

Unique combinations

Some sums have exactly one digit set: 3-in-2 is 1+2, 17-in-2 is 8+9, 6-in-3 is 1+2+3, 24-in-3 is 7+8+9. Pin these runs first — the combination helper lists them.

Cross-reference

Every white cell belongs to an across AND a down run. The digits that can go there are the overlap of both runs' combinations — often just one digit.

Sum remainders

As a run fills, subtract what's placed from the clue. Two cells left summing to 4 can only be 1+3 — never a pair of 2s (digits can't repeat in a run).

Example

4→  1  3

An across clue “4” means its run sums to 4 — here 1 + 3, all digits distinct.

Tip · Short runs with extreme sums have only one combination — a 2-cell run summing to 3 must be 1+2. Pin those first.

Play Kakuro →