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Kakuro #5307 · Hard

Laying out the puzzle…

At a glance

Field
10×10
White cells
56
Runs
32
Single-combination runs
15

Notes on this puzzle

This hard kakuro fits 56 cells to fill into a 10×10 frame, tied together by 27 clue squares.

15 of the 32 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
  • 6 in 3 → 1 + 2 + 3
  • 7 in 3 → 1 + 2 + 4
  • 23 in 3 → 6 + 8 + 9

The longest run is 6 cells long and 12 runs have only two cells, which is where the arithmetic is tightest. Clue totals go from 3 up to 39, with an average of 17.

Where to beginA good first target is the cell at row 2, column 10 of the field: the two runs crossing there settle it. Longer runs hide fewer certainties; build from the short runs inwards.