Kakurasu: reading weights and combining totals
One square has two values: one for its row and another for its column. Understanding that difference is the first step towards solving the grid.
2 min · RafaGonMar · October 20, 2026
A number describes a position
On the 4 × 4 grid, positions have weights 1, 2, 3 and 4. A marked square in row two, column three adds 3 to its row total and 2 to its column total. It does not contribute the same number to both clues.
Row: +3 · Column: +2Crossed-out and empty squares contribute nothing.Find totals that force a choice
A row needing 1 must mark the first column. A total of 2 must mark the second: each position is used once, so position 1 cannot be repeated. A total of 9 needs 2 + 3 + 4, leaving the first square crossed out.
A total of 3 shows why clues work together
A total of 3 has two possibilities: mark position 3 alone, or mark positions 1 and 2. That row clue cannot decide by itself. Check the crossing columns: a completed column rules out its remaining squares, while another column might need the current row to reach its target.
● ● × × → 1 + 2× × ● × → 3The other clues determine which option works.Consider what is missing
All four weights add up to 10. A target of 7 can mean leaving weights totaling 3 unmarked. Reuse the two combinations above, this time for excluded squares.
What the interface checks
Each clue shows current sum/target. Highlighting a matched total only means that one line is satisfied; every other line must also work. An exceeded total means at least one mark in that line must go. Undo restores the previous board. Hint places a square using the solution and counts the help used. Every puzzle is verified to have one solution.