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136. Single Number

Given a non-empty array of integers nums, every element appears twice except for one. Find that single one.

You must implement a solution with a linear runtime complexity and use only constant extra space.

Example 1:

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

Example 2:

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

Example 3:

Input: nums = [1]
Output: 1

Constraints:

  • 1 <= nums.length <= 3 * 104
  • -3 * 104 <= nums[i] <= 3 * 104
  • Each element in the array appears twice except for one element which appears only once.

Solution:

class Solution {
    public int singleNumber(int[] nums) {
        Set<Integer> set = new HashSet<Integer>();
        for (int i = 0; i < nums.length; i++){
            if (!set.contains(nums[i])){
                set.add(nums[i]);
            }else{
                set.remove(nums[i]);
            }

        }

        for (int i : set){
            return i;

        }

        return -1;

    }
}

// TC: O(n)
// SC: O(n)
class Solution {
    public int singleNumber(int[] nums) {
        int result = 0;
        for (int i = 0; i < nums.length; i++){
            result = nums[i] ^ result;
        }
        return result;
    }
}
// TC: O(n)
// SC: O(1)

// 0000000
//  1 ^ 1  xor = 0