9 points are drawn on a piece of paper with the following rules:
- Each point has integer coordinates $(x,y)$ that are between 1 and 10 inclusive.
- For each point there is exactly one other point so that their x-coordinates or their y-coordinates match.
- Two points cannot sit on top of each other.
The sum of the coordinates of each point (ie., x+y) is provided: 2, 5, 6, 7, 8, 10, 11, 12, 13. Can you reconstruct the location of each point? Bonus question: can you find multiple solutions? Good luck!
This puzzle was inspired by this one: The Grid World - Catastrophe