Daily Logic Games

Daily Futoshiki Puzzle — Free Online Inequality Game

How to Play: Daily Futoshiki

🎯 The Goal

Your objective is to completely fill the game grid so that every single row and every column contains a unique sequence of digits exactly once. For example, in a standard 5x5 grid, you must place the numbers 1 through 5. This fundamental mechanic makes the puzzle somewhat similar to Sudoku; however, Daily Futoshiki diverges significantly by requiring you to reason heavily about relative values rather than relying strictly on absolute number placements.

Crucially, absolutely no math or arithmetic is required to play. Futoshiki is a pure logic puzzle at its core. The digits 1 through 5 are merely symbols representing an ordered sequence, and your task is entirely about deciphering their spatial relationships on the board.

📜 The Rules

  • Pre-filled clues: Some numbers may already be given on the grid at the start. These anchors are your starting point for logical deduction.
  • The inequalities: You must strictly obey the inequality signs (< and >) located between certain adjacent squares. These are the constraints that give the game its name (meaning "Inequality" in Japanese).
  • Relative sizing: If a cell has a > symbol pointing to its immediate neighbor, the number placed inside it must be strictly larger than the neighbor's number. Conversely, if a < symbol separates two cells, the first must hold a smaller value than the second.
  • No guessing required: Every single Daily Futoshiki puzzle is meticulously designed to have one unique, valid solution. You must use pure logic and the process of elimination. If you ever feel the urge to guess a number, stop and re-evaluate the board—guessing is strictly against the rules and will inevitably lead to a broken game state.

Pro-Tip for Beginners (Start Here!)

Your very first move should always be to scan the entire grid for absolute extremes. In a 5x5 grid, your absolute extremes are 1 and 5. Look closely at the inequality signs to logically eliminate obvious impossibilities: A cell that is mathematically "less than" another cell (with a < pointing away from it) can never possibly hold a 5. Similarly, a cell that is forced to be "greater than" its neighbor (with a > pointing towards it) can never contain a 1.

Once you master the extremes strategy, look for chain implications spanning across multiple cells. A chain like A < B < C dramatically restricts the available candidates for all three cells involved. In a 5x5 grid, 'A' can only ever be a 1, 2, or 3, while 'C' is restricted strictly to a 3, 4, or 5. Spotting these chains allows you to rapidly whittle down candidates and figure out precisely where your extreme numbers are forced to go!

Futoshiki FAQ

How do I play Futoshiki?
  1. Fill the 5x5 grid with numbers 1 through 5.
  2. Each number must appear exactly once in every row and column.
  3. Respect the inequality signs (< and >) between cells; the numbers you place must satisfy these math constraints.
What are other names for Futoshiki?
Futoshiki is known globally as More or Less, Unequal, Hutoshiki, and Inequality.
How is Futoshiki different from Sudoku?
While both are Latin Square puzzles, Sudoku uses 3×3 block constraints in a 9×9 grid, whereas Futoshiki uses inequality signs (> and <) between adjacent cells in a smaller 5×5 grid. Futoshiki requires reasoning about relative values rather than absolute placements.
What grid sizes does Futoshiki come in?
The most common size is 5×5, but Futoshiki can also be played on 4×4, 6×6, 7×7, and even 9×9 grids. Larger grids provide significantly more challenge as candidate interactions increase exponentially.
Do I need to be good at math?
No arithmetic is required. Futoshiki is a pure logic puzzle. You only need to understand “greater than” and “less than” relationships. The numbers 1–5 are simply symbols representing an ordered sequence.
Can Futoshiki puzzles be solved without guessing?
Yes. Every puzzle on Daily Logic Games has a single unique solution that can be reached entirely through logical deduction. Guessing is never required.
What is the best starting strategy for Futoshiki?
Look for absolute extremes. For example, in a 5x5 grid, a cell with a “<” pointing away from it cannot be a 5, and a cell with a “>” pointing towards it cannot be a 1.
Are there advanced Futoshiki techniques?
Yes. As puzzles get harder, you must use techniques like hidden singles, naked pairs, and chain implications where A < B < C restricts the possible values for all three cells.
Can a 5x5 Futoshiki have multiple solutions?
A properly designed Futoshiki puzzle will always have exactly one unique solution. If you find multiple valid grid fills, the puzzle is logically flawed.