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Masyu jigsaw puzzle

Puzzling Asked by Kruga on February 23, 2021

Here’s a masyu puzzle for you. The rules are as follows

  • Draw a single closed loop which does not cross or touch itself.
  • The sections of the loop run horizontally or vertically between the center points of orthogonally adjacent cells.
  • The loop must visit all cells with a white or a black circle but not necessarily all other cells.
  • In a cell with a black circle the loop must turn by 90° and must travel straight through the previous and next cell.
  • In a cell with a white circle the loop must travel straight through and must turn by 90° on the previous or the next cell.

Jigsaw Masyu

Oh dear, I must have dropped and broken it. I’m sure you can still figure it out. A few rules for putting it back together.

  • None of the pieces may be rotated, and no two pieces may overlap.
  • The thick borders on the pieces must coincide with the perimeter of the grid.

Source

2 Answers

I thought it was a shame such a nice puzzle didn't have an explanation of its solve path. So here's mine! Click through to get the (large) full-size images. "Connectivity deduction" means "I put a line here because if there isn't a line, a single connected loop is now impossible". Shaded pieces mean I've placed them, and shaded parts of the grid have pieces placed for sure.

Part 1: Putting some pieces in

Step 1:

Step 2:

Step 3:

Step 4:

Step 5:

Step 6:

Step 7:

Part 2: Drawing some lines

Step 8:

Step 9:

Step 10:

Step 11:

Part 3: Putting some pieces in while drawing some lines

Step 12:

Step 13:

Step 14:

Step 15:

Part 4: To the end!

Also known as: I do way too detailed step-by-step.

Step 16:

Step 17:

Step 18:

Step 19 (also the solution):

Correct answer by bobble on February 23, 2021

I believe this is the unique solution:

Answered by Gareth McCaughan on February 23, 2021

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