Logic Puzzle Club

Masyu: pearls near the edge

A pearl with no room on one side has only one way to go. Look for pearls near the edge, and for pearls that crowd each other.

Practice now
A black pearl on the second row. A leg up would have one square before the edge, and a leg needs two. So the leg goes down, two squares.
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How it works

Every pearl rule needs room. A black pearl sends out two legs, and each leg runs through two squares. A white pearl goes straight through, so it needs a free square on both sides.

So look where room runs out: next to the edge of the grid, and next to other pearls. Each pattern below is a small proof by contradiction. Try the other way, and some pearl can’t keep its rule.

Worth memorizing

  1. Black pearl near an edge: its leg goes the other way.

    A leg needs two squares of room.

  2. White pearl on an edge: it runs along the edge.

  3. Three white pearls in a row: the loop crosses the row at each.

  4. Two black pearls side by side: their legs point apart.

Practice

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Question 1

Which way does this black pearl’s up-or-down leg go?

Question 2

Three white pearls stand in a column. Which ways does the loop leave the middle one?

Question 3

Which way does the left pearl’s sideways leg go?

Question 4

Can a white pearl sit in a corner square?

Where you’ll use this