Futoshiki Online

Play Futoshiki online by filling each row and column with unique numbers while following every greater-than and less-than clue. Start with a 4×4 grid, then try larger 6×6 and 8×8 puzzles.

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Round Timer0s
This board is 4×4.

Start Futoshiki

Choose a board size, review the row, column, and inequality rules, then start the timer when you are ready.

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

  1. Fill the grid with numbers

    Each Futoshiki puzzle uses an N×N grid. Fill every empty cell with a number from 1 to N.

  2. Avoid repeats in rows and columns

    Each row and each column must contain every number exactly once, so no number can repeat in the same row or column.

  3. Follow every inequality clue

    Greater-than and less-than signs between neighboring cells must be true. If one cell is marked greater than another, its number must be larger.

  4. Narrow candidates step by step

    Use given numbers, row and column restrictions, and inequality clues to remove impossible candidates until the full grid is solved.

Online Futoshiki: Grid Logic and Inequality Practice

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

This online version is designed for short practice sessions. Start with a 4×4 Futoshiki puzzle, then move to 6×6 or 8×8 grids when you want longer reasoning chains.

Reasoning Tips

Good Futoshiki solving is about narrowing candidates before filling cells. Start from the most constrained rows, columns, and inequality chains, then place numbers only when the clues leave a clear choice.

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

What is Futoshiki?

Futoshiki is a grid logic puzzle where you fill each row and column with unique numbers while following greater-than and less-than clues between neighboring cells.

How is Futoshiki different from Sudoku?

Both puzzles use non-repeating rows and columns, but Futoshiki adds inequality clues. These greater-than and less-than signs create extra relationships between neighboring cells.

What do the inequality signs mean?

A greater-than sign means the number on the greater side must be larger. A less-than sign means the number on the smaller side must be lower. Every inequality must be true when the grid is complete.

Why do some cells have no inequality?

Not every neighboring pair needs a clue. When there is no inequality sign, use row and column uniqueness to narrow the possible numbers.

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

Larger grids have more numbers, wider candidate ranges, and longer reasoning chains. Start with 4×4 if you are new, then move to 6×6 or 8×8 for a harder puzzle.

What should I do when stuck?

Look for the cell with the fewest candidates, then recheck its row, column, and nearby inequality clues. Avoid guessing until the clues remove more possibilities.