Guide
Learn Kakuro in a minute: clues are sums, runs are the answer slots, and no digit repeats within a run.
Fill every white cell with a digit from 1 to 9.
Each horizontal run must add up to the clue above the diagonal slash to its left; each vertical run must add up to the clue below the slash above it.
No digit may repeat within a single run — repeats in different runs of the same row or column are fine.
The board is solved when every run adds up to its clue with no repeats. Every puzzle has exactly one solution, reachable by logic alone.