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Overview
Futoshiki icon FU

Futoshiki

1 player · 5-20 min per session

Fill the grid with digits so each row and column contains each digit once, while satisfying all inequality constraints.

Players: 1P Session length: 5-20 min
PuzzleNumber

Goal & Core Rules

Fill the grid with digits so each row and column contains each digit once, while satisfying all inequality constraints.

  • Each row and column must contain each digit exactly once (a Latin square).
  • Some cells may be pre-filled as givens.
  • Inequality symbols between adjacent cells indicate which side must be larger.
  • Use the inequalities to eliminate candidates and deduce forced placements.

Classic

Standard grid with inequality constraints.

4x4 Starter

A short 4x4 beginner puzzle for learning the rules.

7x7 Extended

Larger 7x7 normal/hard puzzles for longer deduction chains.

Controls

Mouse

  • Click a cell to select it
  • Click the number pad to enter 1-N
  • Use the clear button or Backspace/Delete to erase the selected cell

Keyboard

  • Number keys 1-7: enter a value in the selected cell
  • Backspace/Delete/0: clear the selected cell

Touch

  • Tap a cell to select it
  • Tap the bottom/right number pad to enter values
  • Use pinch zoom plus scrolling when larger 6x6 or 7x7 grids feel cramped

Beginner Tips

  • Start from strong inequalities: a cell that must be larger than many neighbors has limited options.
  • Use bounds: if a cell is ‘>’ something, it can’t be 1; if it’s ‘<’ something, it can’t be N.
  • Combine row/column missing-digit scans with inequality chains.

Advanced Tips

  • Treat inequality chains as ranges (e.g., A < B < C forces minimum/maximum bounds).
  • Look for hidden singles created when inequalities eliminate candidates across a unit.
  • When stuck, revisit the most constrained row/column and re-derive candidate sets.

Origins & History

Futoshiki is a Japanese logic puzzle; it is described as being developed by Tamaki Seto in 2001 and is also known as “More or Less.”

Timeline

  1. 2001 Tamaki Seto is credited with developing Futoshiki.

Notable People

  • Tamaki Seto Credited developer (2001)

FAQ

Is Futoshiki the same as Sudoku?

They’re related but different. Futoshiki is a Latin square with inequality constraints, while Sudoku also uses subgrids.

Do all puzzles have a unique solution?

Good puzzles are usually designed to have one solution, but it depends on the publisher.

What grid sizes exist?

This implementation includes 4x4, 5x5, 6x6, and 7x7 puzzles.

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