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Closed Loop:

In a closed-off region (no path for any lines to escape), there must be an even number of unconnected segment-ends. Otherwise, it's impossible to successfully establish a non-self-intersecting loop. Usually, this technique will help you create a line segment and further solve the puzzle.

We want to determine where the second segment that connects the red dot:


closedloop

Now we count the number of unconnected segment-ends (numbered in red):


closedloop count

To make the count be an even number, we conclude that the second segment to be going into the closed-off region:


closedloop result

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