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Puzzle 1
Puzzle 2
Puzzle 3
Puzzle 4

Kakuro Kokoro

Heart-Shaped Kakuro Puzzles

Issue #4
Week of July 6, 2026
kakurokokoro.com

Kakuro Kokoro

Heart-Shaped Kakuro Puzzles

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kakurokokoro.com

Solutions

How to Play Kakuro

A crossword with numbers — no clues to read, just sums to satisfy.

The Rules

  1. Fill every white cell with a digit from 1 to 9.
  2. A clue cell carries one or two small numbers. The number in the upper‑right is the sum of the run going across; the number in the lower‑left is the sum of the run going down.
  3. The digits in a run must add up to its clue.
  4. No digit repeats within a single run.
  5. Every puzzle has exactly one answer — you never have to guess.

A Worked Example

4
3
3
4
  1. The top row must sum to 3 across two cells: only 1 + 2 works.
  2. The left column must sum to 4: only 1 + 3 works.
  3. Their shared corner is the digit in both lists — it has to be 1.
  4. The rest follows: fill in 2, then 3, then 1. Done!

Locked Sums

When a run's length and sum match a row below, the digits are forced — the fastest place to start every puzzle.

CellsSumDigits
231 2
41 3
2167 9
178 9
361 2 3
71 2 4
3236 8 9
247 8 9
4101 2 3 4
111 2 3 5
4295 7 8 9
306 7 8 9
5151 2 3 4 5
161 2 3 4 6
5344 6 7 8 9
355 6 7 8 9
6211 2 3 4 5 6
221 2 3 4 5 7
6383 5 6 7 8 9
394 5 6 7 8 9
7281 2 3 4 5 6 7
291 2 3 4 5 6 8
7412 4 5 6 7 8 9
423 4 5 6 7 8 9
836–44 every digit except 45 − sum
945 1 2 3 4 5 6 7 8 9

Handy pair: a 2‑cell run is 3 or 4 at the low end and 16 or 17 at the high end — always the same digits shown above.

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