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Grid and inequalities

Futoshiki

Place 1 through N once per row and per column while respecting the inequality signs: the point of the sign always aims at the smaller number.

Mode
Size
Time00:00
Best—

Daily challenge

One puzzle a day, the same for everyone

The day's Futoshiki grid, 5 × 5, is drawn from the date. It has one solution and only one, and it's the same for everyone today.

  • The same grid for everyone, until midnight in your device's time zone.
  • The solution is unique: no guessing is ever needed.
  • The result you share is your time, never the solved grid.
  • Completing a challenge, any of the four, extends your streak by one day.

The Free play / Daily challenge toggle sits at the very top of the board. The challenge never touches your free-play best times, and free play stays unlimited.

Quick start

Five steps to your first grid

  1. Place 1 through N. Each row and each column contains every digit once, like a small sudoku with no boxes.
  2. Read the inequality signs. Between two neighboring cells, the point of the sign always aims at the smaller of the two numbers.
  3. Start from the givens. A few cells are already filled in to get your reasoning started.
  4. Cross-check the constraints. An inequality at the extremes (1 or N) often pins down a cell in one go.
  5. Check without guessing. The solution is unique: if you have to gamble, there's a clue you haven't read yet.
The rule in one picture

What you need to understand

2 5 < the point aims at the smaller number
Controls

An input for every way to play

Mouse and trackpad

Click a cell, then a digit on the keypad. Given cells can't be changed.

Touchscreen

Cells and keypad are sized for a thumb; nothing requires swiping.

Keyboard

The arrow keys move the selection, 1 to N enter a digit, 0 or Backspace clears. The inequality signs are announced in each cell's label.

Tips

Five things you won't work out on your own

  • A chain of inequalities forces an order: three cells linked by “< <” can only be 1, 2, 3 in that order on a size-3 grid.
  • A sign touching an edge often pins down an extreme value: nothing is smaller than 1 or larger than N.
  • The point of the sign always aims at the smaller number: read it as an arrow pointing down toward the lower value.
  • As in sudoku, eliminate by row and column first; the inequalities settle the remaining cases.
  • The solution is unique: if you're torn between two digits, a clue somewhere else already decides between them.
Frequently Asked Questions

Futoshiki, in detail

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All four games play right on the page, with no account and no download.