Futoshiki · August 10, 2021

Puzzle ID 1821 · 5×5 grid

These are the answers to the Puzzle Page Futoshiki for August 10, 2021, puzzle ID 1821. The board below is the completed 5×5 grid exactly as it looks in the app once every square is filled .

Futoshiki is one of 20 puzzle types published in Puzzle Page, and this date carried 8 puzzles in total — you can see all of them on the August 10, 2021 page. To work through this game date by date, use the full Futoshiki archive, or step back to August 7, 2021.

Because Futoshiki is solved with digits rather than letters, the board above is the finished arrangement — every cell filled exactly as the app accepts it. Compare a single row or block against your own grid rather than copying the whole thing, and the rest usually falls into place from the constraints you already have.

Puzzle Page numbers each game separately, so the ID on this page belongs to Futoshiki alone — a Sudoku published the same day carries a different one. If the grid here stops matching your screen the app has been updated; say so in the comments and it gets re-checked. Every grid on this site is captured from the finished puzzle rather than copied from another answers site.

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Frequently Asked Questions

What are the Puzzle Page Futoshiki answers for August 10, 2021?
They are shown in the completed 5×5 grid above.
What is the puzzle ID for this one?
Puzzle ID 1821. Each puzzle type numbers its issues separately, so the same date carries a different ID for every game.
Where are the other puzzles from this date?
On the August 10, 2021 page, which lists all 8 puzzles published that day.
How do I find a different date?
Open the full Futoshiki archive, which lists every date we hold grouped by year.
What do the arrows mean?
Each sign points at the smaller of the two cells it sits between.
Is guessing needed?
No, the signs plus the no-repeat rule always determine the grid.
How many Futoshiki answers are in this archive?
2,311 solved Futoshiki puzzles across 1,176 dates, each stored as the completed number grid exactly as the app shows it once the puzzle is finished.
What do the arrows between cells mean?
They are inequality signs. The digit on the open side of the sign is larger than the digit on the pointed side.
Does every row and column use each digit once?
Yes. Like Sudoku, each digit appears exactly once per row and once per column, with the inequalities added on top.
How large are the grids?
Futoshiki grids are small — commonly five by five — which is why the inequality chains carry most of the solving weight.
How to play

How Puzzle Page Futoshiki Works

A Latin square with inequality signs. Fill the grid so no digit repeats in a row or column, and every greater-than sign is satisfied.

Solve smarter

Tips for Puzzle Page Futoshiki

  1. 1

    Chains of inequalities are the fastest way in: three cells in a row forces the highest and lowest values.

  2. 2

    In a grid of size N, a cell at the greater end of a chain of length N must hold the maximum digit.

  3. 3

    Treat the inequality signs as hard constraints before you do any row or column scanning.

  4. 4

    Corners with two signs are usually the most constrained cells on the board.

  5. 5

    Follow the inequality chains first. A run of three increasing signs in a five-wide grid leaves very few arrangements, often only one.

  6. 6

    The cell at the open end of the longest chain is forced to an extreme value — the smallest or largest digit the grid allows.

At a glance

Puzzle Page Futoshiki Facts

Puzzle typeFutoshiki
DateAugust 10, 2021
Puzzle ID1821
Grid size5 x 5
Theme
Answer words
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