2025-10-16 Daily Challenge

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

October LeetCoding Challenge 16

Description

Smallest Missing Non-negative Integer After Operations

You are given a 0-indexed integer array nums and an integer value.

In one operation, you can add or subtract value from any element of nums.

  • For example, if nums = [1,2,3] and value = 2, you can choose to subtract value from nums[0] to make nums = [-1,2,3].

The MEX (minimum excluded) of an array is the smallest missing non-negative integer in it.

  • For example, the MEX of [-1,2,3] is 0 while the MEX of [1,0,3] is 2.

Return the maximum MEX of nums after applying the mentioned operation any number of times.

 

Example 1:

Input: nums = [1,-10,7,13,6,8], value = 5
Output: 4
Explanation: One can achieve this result by applying the following operations:
- Add value to nums[1] twice to make nums = [1,0,7,13,6,8]
- Subtract value from nums[2] once to make nums = [1,0,2,13,6,8]
- Subtract value from nums[3] twice to make nums = [1,0,2,3,6,8]
The MEX of nums is 4. It can be shown that 4 is the maximum MEX we can achieve.

Example 2:

Input: nums = [1,-10,7,13,6,8], value = 7
Output: 2
Explanation: One can achieve this result by applying the following operation:
- subtract value from nums[2] once to make nums = [1,-10,0,13,6,8]
The MEX of nums is 2. It can be shown that 2 is the maximum MEX we can achieve.

 

Constraints:

  • 1 <= nums.length, value <= 105
  • -109 <= nums[i] <= 109

Solution

class Solution {
public:
  int findSmallestInteger(vector<int>& nums, int value) {
    value = abs(value);
    if(value == 1) return nums.size();
    map<int, int> rem;
    for(auto n : nums) {
      rem[((n % value) + value) % value] += 1;
    }
    int minRem = rem[0];
    int minPos = 0;
    if(!minRem) return 0;
    for(int i = 1; i < value; ++i) {
      if(rem[i] < minRem) {
        minRem = rem[i];
        minPos = i;
      }
    }
    return minRem * value + minPos;
  }
};

// Accepted
// 1062/1062 cases passed (139 ms)
// Your runtime beats 14.29 % of cpp submissions
// Your memory usage beats 11.28 % of cpp submissions (137.3 MB)