2023-04-05 Daily Challenge
Today I have done leetcode's April LeetCoding Challenge with cpp
.
April LeetCoding Challenge 5
Description
Minimize Maximum of Array
You are given a 0-indexed array nums
comprising of n
non-negative integers.
In one operation, you must:
- Choose an integer
i
such that1 <= i < n
andnums[i] > 0
. - Decrease
nums[i]
by 1. - Increase
nums[i - 1]
by 1.
Return the minimum possible value of the maximum integer of nums
after performing any number of operations.
Example 1:
Input: nums = [3,7,1,6] Output: 5 Explanation: One set of optimal operations is as follows: 1. Choose i = 1, and nums becomes [4,6,1,6]. 2. Choose i = 3, and nums becomes [4,6,2,5]. 3. Choose i = 1, and nums becomes [5,5,2,5]. The maximum integer of nums is 5. It can be shown that the maximum number cannot be less than 5. Therefore, we return 5.
Example 2:
Input: nums = [10,1] Output: 10 Explanation: It is optimal to leave nums as is, and since 10 is the maximum value, we return 10.
Constraints:
n == nums.length
2 <= n <= 105
0 <= nums[i] <= 109
Solution
auto speedup = [](){
cin.tie(nullptr);
cout.tie(nullptr);
ios::sync_with_stdio(false);
return 0;
}();
class Solution {
public:
int minimizeArrayValue(vector<int>& nums) {
long long sum = accumulate(nums.begin(), nums.end(), 0LL);
double average = 1.0 * sum / nums.size();
long long current_sum = 0;
int answer = ceil(average);
for(int i = 0; i < nums.size(); ++i) {
current_sum += nums[i];
if(average * (i + 1) < current_sum) {
answer = max<int>(answer, (current_sum + i) / (i + 1));
}
}
return answer;
}
};
// Accepted
// 68/68 cases passed (100 ms)
// Your runtime beats 98.83 % of cpp submissions
// Your memory usage beats 99 % of cpp submissions (70.4 MB)