Leetcode Problem 1924. Erect the Fence II

1924. Erect the Fence II

Leetcode Solutions

Welzl's Algorithm for Minimum Enclosing Circle

  1. Define a recursive function welzl that takes the current index in the list of points, the current boundary set, and the list of all points.
  2. If the current index is equal to the length of the list of points or if the boundary set has three points, compute the minimum circle using the points in the boundary set.
  3. Otherwise, recursively call welzl with the next index and the same boundary set.
  4. If the point at the current index lies outside the circle returned by the recursive call, add it to the boundary set and recursively call welzl again.
  5. Continue this process until all points are either inside the circle or on the boundary.
  6. The base cases are when the boundary set has zero, one, two, or three points. For zero points, return a circle with zero radius. For one point, return a circle centered at that point with zero radius. For two points, return the smallest circle that contains both. For three points, compute the circumcircle for the triangle formed by the points.
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Brute Force Approach

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