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Kakuro #5309 · Hard

Laying out the puzzle…

At a glance

Field
10×10
White cells
56
Runs
36
Single-combination runs
13

Notes on this puzzle

This hard kakuro fits 56 cells to fill into a 10×10 frame, tied together by 31 clue squares.

13 of the 36 runs can be filled with only one set of digits:

  • 3 in 2 → 1 + 2
  • 4 in 2 → 1 + 3
  • 16 in 2 → 7 + 9
  • 23 in 3 → 6 + 8 + 9
  • 10 in 4 → 1 + 2 + 3 + 4
  • 11 in 4 → 1 + 2 + 3 + 5

The longest run is 5 cells long and 14 runs have only two cells, which is where the arithmetic is tightest. Clue totals go from 3 up to 30, with an average of 14.8.

Where to beginA good first target is the cell at row 1, column 1 of the field: the two runs crossing there settle it. Longer runs hide fewer certainties; build from the short runs inwards.