JAVA Code Required* You are given a convex polygon of n vertices P1, P2, ., Pn (in counter-clock or clock order). Each vertex is assigned with a weight wi. Find a subset of vertices that includes vertex 1. 1 = i1< i2 <.. < ik Sn that maximizes ratio: (dist(i1, i2) + dist(i2, i3) + .. + dist(ik, i1)) / (wi1 + wi2 + . + wik). Where dist(i, j) refers to Euclidean distance between two points Pi, Pj. Sample Input: 1 3 00 15 29 44 20 Sample Output: 1.2747548783981961

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