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.
Input: [1,3,4,2,2] Output: 2
Input: [3,1,3,4,2] Output: 3
- You must not modify the array (assume the array is read only).
- You must use only constant, O(1) extra space.
- Your runtime complexity should be less than O(n2).
- There is only one duplicate number in the array, but it could be repeated more than once.
implSolution{pubfnfind_duplicate(nums:Vec<i32>) -> i32{letmut p1 = 0;letmut p2 = 0;loop{ p1 = nums[p1 asusize]; p2 = nums[nums[p2 asusize]asusize];if p1 == p2 {break;}} p1 = 0;while p1 != p2 { p1 = nums[p1 asusize]; p2 = nums[p2 asusize];} p1 }}