2021-11-20 Daily-Challenge

Today I have done leetcode's November LeetCoding Challenge with cpp.

November LeetCoding Challenge 20

Description

Single Element in a Sorted Array

You are given a sorted array consisting of only integers where every element appears exactly twice, except for one element which appears exactly once.

Return the single element that appears only once.

Your solution must run in O(log n) time and O(1) space.

Example 1:

Input: nums = [1,1,2,3,3,4,4,8,8]
Output: 2

Example 2:

Input: nums = [3,3,7,7,10,11,11]
Output: 10

Constraints:

  • 1 <= nums.length <= 10^5
  • 0 <= nums[i] <= 10^5

Solution

auto speedup = [](){
  cin.tie(nullptr);
  cout.tie(nullptr);
  ios::sync_with_stdio(false);
  return 0;
}();
class Solution {
public:
  int singleNonDuplicate(vector<int>& nums) {
    int low = 0;
    int high = nums.size() - 1;
    while(low < high - 1) {
      int mid = (low + high) >> 1;
      mid ^= (mid & 1);
      if(nums[mid] == nums[mid + 1]) {
        low = mid + 1;
      } else {
        high = mid;
      }
    }
    return nums[high];
  }
};

// Accepted
// 14/14 cases passed (4 ms)
// Your runtime beats 98.01 % of cpp submissions
// Your memory usage beats 81.48 % of cpp submissions (11 MB)