Find the Duplicate Number
Desicription
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:
代码语言:javascript复制Input: [1,3,4,2,2]
Output: 2
Example 2:
代码语言:javascript复制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.
- Your runtime complexity should be less than O(n^2).
- There is only one duplicate number in the array, but it could be repeated more than once.
Solution
代码语言:javascript复制class Solution {
public:
int findDuplicate(vector<int>& nums) {
if(nums.size() <= 1) {
return 0;
}
int slow = nums[0];
int first = nums[nums[0]];
while(slow != first) {
slow = nums[slow];
first = nums[nums[first]];
}
first = 0;
while(first != slow) {
slow = nums[slow];
first = nums[first];
}
return slow;
}
};