Problem 4. Suppose we are given a set L of n line segments in the plane, where each segment has one endpoint on the line y = 0 and one endpoint on the line y = 1, and all 2n endpoints are distinct. Describe and analyze an algorithm to compute the largest subset of L in which no pair of segments intersects. Argue that your algorithm is correct. Your algorithm should work in polynomial time. Problem 4. Suppose we are given a set L of n line segments in the plane, where each segment has one endpoint on the line y = 0 and one endpoint on the line y = 1, and all 2n endpoints are distinct. Describe and analyze an algorithm to compute the largest subset of L in which no pair of segments intersects. Argue that your algorithm is correct. Your algorithm should work in polynomial time