Notes on this puzzle
Kakuro #5306 is a 10×10 field with 66 white cells split into 40 runs: 20 across and 20 down.
16 of the 40 runs can be filled with only one set of digits:
- 3 in 2 → 1 + 2
- 16 in 2 → 7 + 9
- 17 in 2 → 8 + 9
- 6 in 3 → 1 + 2 + 3
- 23 in 3 → 6 + 8 + 9
- 24 in 3 → 7 + 8 + 9
The longest run is 6 cells long and 14 runs have only two cells, which is where the arithmetic is tightest. Clue totals go from 3 up to 31, with an average of 16.2.
Where to beginA good first target is the cell at row 2, column 9 of the field: the two runs crossing there settle it. Longer runs hide fewer certainties; build from the short runs inwards.