Futoshiki

Fill the grid while obeying every inequality.

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Latest Result-
Round Timer0s
This board is 4×4.

Start Futoshiki

Review the goal, rules, and board size before you begin.

Goal

Fill every cell so each row and column uses the full number range exactly once.

Rules

All visible < and > signs must be true after both neighboring cells are filled.

Demo

In the demo, 1 < 3 and 4 > 2 are both valid relationships.

The timer starts only after you click Start game.

My Futoshiki Practice Record

Complete a grid to start tracking

Your completed grids, average time, best time, and latest result will appear here.

How to Play Futoshiki

  • Fill each row and column with 1 to N without repeats
  • Every inequality between neighboring cells must be true
  • Use givens and inequalities to narrow candidates
  • The puzzle is complete when the full grid satisfies every rule

Online Futoshiki: Grid Logic Practice

Futoshiki is a grid logic puzzle that combines uniqueness with greater-than and less-than relationships. Fill the grid so every row, column, and inequality is valid.

It trains constraint reasoning, candidate elimination, and spatial observation. Larger grids reward patient, step-by-step narrowing.

Reasoning Tips

Start with constrained rows and columns

Rows or columns with more givens usually remove more candidates early.

Use inequalities as range clues

The greater side cannot be too small, and the smaller side cannot be too large.

Avoid row and column repeats

Each row and column must contain 1 to N exactly once.

Do not fill the grid too early

When a cell still has many candidates, switch to a more constrained cell first.

FAQ

How is Futoshiki different from Sudoku?

Both use non-repeating rows and columns, but Futoshiki adds inequality relationships between neighboring cells.

Why do some cells have no inequality?

Not every neighboring pair needs a clue. When there is no sign, rely on row and column uniqueness.

What changes between 4×4, 6×6, and 8×8?

Larger grids have wider candidate ranges and longer reasoning chains. Start with 4×4 if you are new.

What should I do when stuck?

Look for the cell with the fewest candidates, then recheck its row, column, and adjacent inequalities.