Find the Duplicate Number
Given an array nums containing n + 1 integers where each integer is between 1 and n (inclusive), prove that at least one duplicate number must exist. Assume that there is only one duplicate number, find the duplicate one. Example 1 Input: [1,3,4,2,2] Output: 2 Example 2 Input: [3,1,3,4,2] Output: 3 Note You must not modify the array (assume the array is read only). You must use only constant, O(1) extra space.