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.
Note:
- 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.
思路:与这一道题的思路相同 传送门
1 class Solution { 2 public: 3 int findDuplicate(vector<int>& nums) { 4 int slow = nums[0], fast = nums[nums[0]]; 5 while (slow != fast) 6 { 7 slow = nums[slow]; 8 fast = nums[nums[fast]]; 9 } 10 fast = 0; 11 while (slow != fast) 12 { 13 slow = nums[slow]; 14 fast = nums[fast]; 15 } 16 return slow; 17 } 18 };