Notes on this puzzle
Kakuro #5312 is a 10×10 field with 64 white cells split into 40 runs: 18 across and 22 down.
15 of the 40 runs can be filled with only one set of digits:
- 4 in 2 → 1 + 3
- 16 in 2 → 7 + 9
- 6 in 3 → 1 + 2 + 3
- 7 in 3 → 1 + 2 + 4
- 23 in 3 → 6 + 8 + 9
- 10 in 4 → 1 + 2 + 3 + 4
The longest run is 6 cells long and 10 runs have only two cells, which is where the arithmetic is tightest. Clue totals go from 4 up to 34, with an average of 14.9.
Where to beginA good first target is the cell at row 1, column 6 of the field: the two runs crossing there settle it. Longer runs hide fewer certainties; build from the short runs inwards.