How to Play Futoshiki

Overview

Futoshiki (Japanese for "not equal") is a logic puzzle that combines Latin square rules with inequality constraints. Fill the grid so each row and column contains each digit exactly once while respecting all the greater-than/less-than signs.

Video Tutorial

Rules

  • 1Fill each cell with digits 1 to N (where N is the grid size).
  • 2Each row must contain each digit exactly once.
  • 3Each column must contain each digit exactly once.
  • 4Satisfy all inequality signs (> or <) between adjacent cells.

Inequality Signs

A < BA is less than B (A must be smaller)
A > BA is greater than B (A must be larger)

Example: If you see 3 > ___, the empty cell must be 1 or 2.

Controls

ClickSelect a cell
1-N KeysEnter a digit
BackspaceClear selected cell
P KeyToggle pencil mode
Ctrl+ZUndo last move

Solving Strategies

Extreme Values

In a chain A < B < C < D < E (5×5), A must be 1 and E must be 5.

Row/Column Elimination

Once a digit is placed, eliminate it from other cells in that row and column.

Use Pencil Marks

Write candidate numbers to track possibilities and eliminate options.

Forced Positions

If a digit can only go in one cell based on constraints, fill it in.