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Algorithm

287. Find the Duplicate Number

Description

Given an array of integers nums containing n + 1 integers where each integer is in the range [1, n] inclusive.

There is only one repeated number in nums, return this repeated number.

You must solve the problem without modifying the array nums and uses only constant extra space.

Example 1:

Input: nums = [1,3,4,2,2]
Output: 2

Example 2:

Input: nums = [3,1,3,4,2]
Output: 3

Example 3:

Input: nums = [1,1]
Output: 1

Example 4:

Input: nums = [1,1,2]
Output: 1

Constraints:

  • 1 <= n <= 105
  • nums.length == n + 1
  • 1 <= nums[i] <= n
  • All the integers in nums appear only once except for precisely one integer which appears two or more times.

Follow up:

  • How can we prove that at least one duplicate number must exist in nums?
  • Can you solve the problem in linear runtime complexity?

Solution

class Solution {
    public int findDuplicate(int[] nums) {
        int[] duplicate = new int[nums.length];
        for(int i=0;i<nums.length;i++){
            duplicate[nums[i]]++;
        }
        for(int i=0;i<duplicate.length;i++){
            if(duplicate[i]>1){
                return i;
            }
        }
        return -1;
    }
}

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