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Futoshiki

A Latin square with greater-than signs between the cells.

📖 Futoshiki Guide: History, Rules & Free 50-Level PDF Booklet →

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How to play

  • Fill the grid so every row and every column holds each number from 1 up to the grid's size exactly once.
  • A sign between two cells points at the smaller number: in 2 < 4 the 2 is on the narrow side, and so is the smaller number above ∧ or below ∨.
  • Given numbers stay as they are.

Each Number Once

Every row and every column holds each number from 1 up to the grid's size exactly once.

1234341243212143<<∨∨∧
✓ Correct Every row and column holds 1, 2, 3 and 4 once, and every sign holds.
1233341243212143<<∨∨∧
✗ Wrong The top row has two 3s and no 4.
1234341243211143<<∨∨∧
✗ Wrong The first column has two 1s.

Signs Point at the Smaller Number

The narrow end of a sign points at the smaller of its two numbers: 1 < 2 across, and down a column ∧ has the smaller number above, ∨ below.

1234341243212143<<∨∨∧
✓ Correct 1 < 2 in the top row; in the columns, 3 above 1 (∨) and 2 above 4 (∧).
1234341243212143><∨∨∧
✗ Wrong The sign says the left cell is the larger, but 1 is smaller than 2.
1234341243212143<<∨∨∨
✗ Wrong ∨ says the lower cell is the smaller, but 4 is larger than 2.
A small Futoshiki, solved.

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