Popzy
⚖️ Logic Puzzle

Futoshiki

Satisfy every greater-than sign.

Futoshiki (Japanese for "inequality") is a Latin-square puzzle related to Sudoku, but instead of 3×3 boxes, some neighbouring cells carry a fixed < or > sign the finished grid has to satisfy.

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How to play Futoshiki

Fill each row and column with 1 through N exactly once — like a mini Sudoku with no boxes.

Some neighbouring cells show a fixed < or > sign that the finished grid must satisfy, in addition to the row/column rule.

Tap a cell, then tap a number to fill it. A live check flags any row/column duplicate or violated inequality.

Example

A "3 > _" clue means whatever goes in the blank cell must be smaller than 3 — so 1 or 2, narrowed further by that column's other values.

Difficulty

Easy4×4 grid — a gentle introduction to reading the inequality signs.
Medium5×5 grid — more numbers, more inequality chains to trace.
Hard6×6 grid — the full challenge.

Tips & strategy

  • Chains of inequality signs (e.g. a < b < c) often pin down a small number of possibilities immediately — trace them first.
  • The smallest number in the grid can never sit on the small side of a > sign pointing away from it, and vice versa for the largest number.
  • Combine the Latin-square rule (no repeats in a row/column) with the inequality signs — together they eliminate options much faster than either rule alone.

Futoshiki FAQ

What does "Futoshiki" mean?+

Futoshiki (不等式) is Japanese for "inequality" — a nod to the < and > signs that are the puzzle's defining feature, layered on top of a Sudoku-like Latin square.

Is Futoshiki like Sudoku?+

It shares Sudoku's core rule — each number 1 through N appears exactly once per row and column — but has no 3×3 boxes. Instead, some cells carry inequality signs the solution must satisfy.

How do the < and > signs work?+

A sign between two neighbouring cells is permanent and always active, even before those cells are filled in. "3 > _" means the blank must hold a value smaller than 3; "_ < 3" means it must be smaller than whatever's on the other side once revealed.

What grid sizes are available?+

4×4 on Easy, 5×5 on Medium, and 6×6 on Hard — each with a unique solution guaranteed by the puzzle generator.

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