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First, verify that a blue line exists between your current position and the desired node. Second, check for any directional triangles and ensure you are entering from the base. Finally, confirm that the path hasn't already been used (it must not be green).
Any interruption, such as releasing your click or touch, will instantly reset the level, erasing all your progress and returning the lines to blue.
Victory is achieved when you manage to turn every single blue line connecting the nodes into a green line using one continuous movement.