10 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 with the same x-coordinate and exactly one other point with the same y-coordinate.
The sum of the coordinates of each point (ie., x+y) is provided: 2, 4, 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!