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:
    
    
    
    
        Now we count the number of unconnected segment-ends (numbered in red):
    
    
    
    
        To make the count be an even number, we conclude that the second segment to be going
        into the closed-off region:
    
    
    
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