# Futoshiki

Fill the grid so every row and column contains each number from 1 to the grid size exactly once, with every inequality sign satisfied.

- Category: Puzzle
- Features: Leaderboard, Saved progress
- Tags: puzzle, logic, grid, numbers, inequality, latin square, brain, greater, less

## How to play

### Goal

Fill the grid so every row and column contains each number from 1 to the grid size exactly once, with every inequality sign satisfied. Each puzzle has a single solution.

### Rules

• Each number appears once in every row and once in every column (there are no boxes)
• Every sign between two cells must hold — a sign always points at the smaller number
• Some cells start filled in as clues

### How to Play

• Tap a cell to select it, then tap a number — or press it on the keyboard — to place it
• Tap the same number again, or use Erase, to clear the cell
• A cell turns red only when it breaks a rule you can see: a repeat in its row or column, or a violated sign — never because it disagrees with the hidden answer, so you can't guess your way through
• Hint reveals one cell
• Keyboard: arrows or WASD move the cursor, number keys place a value, Backspace clears, Z undoes

### Tips

• Start at the ends of a sign chain: the smallest cell in a run of '<' must be a 1, and the largest must be the top value
• Combine the line rule with the signs — a value ruled out of a row often forces a neighbour through its sign
• Fix the extremes first, then let the middle fall into place

### Difficulty

Boards run 4×4, 5×5 and 6×6. Expert keeps the 6×6 board but starts with the fewest clues, so you lean hardest on the inequality signs.

Play Futoshiki in the free Game Nest app for iPhone, iPad, and Android.