- Thoughts.
- Distance between a point and a line segment
- Distance to the foot of the perpendicular line if it is in the line segment, otherwise distance to either of the end points
- Endpoints are not possible this time due to the conditions of convex polygons.
- The leg of the perpendicular line from P to AB can be obtained by removing the directional component of AB from AP
- Official Explanation
- I solved it with vectors, but the official explanation was in the complex plane.
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