Check whether point lies inside polygon
You are given a convex polygon and an additional point. You know the x and y co-ordinates of all vertices of the polygon and the point. Find if the point is one of the vertices of the polygon in O(log N) time.
Given an integer n, write a function that returns count of trailing zeroes in n!. Examples: Input: n = 5 Output: 1 Factorial of 5 is 20 which has one trailing 0. Input: n = 20 Output: 4 Factorial of 20 is 2432902008176640000 which has 4 trailing zeroes. Input: n = 100 Output: 24
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