643. Maximum Average Subarray I

1. Description

Given an array consisting of n integers, find the contiguous subarray of given length k that has the maximum average value. And you need to output the maximum average value.

2. Example

Example 1:
Input: [1,12,-5,-6,50,3], k = 4
Output: 12.75
Explanation: Maximum average is (12-5-6+50)/4 = 51/4 = 12.75

3. Note

  • 1 <= k <= n <= 30,000.
  • Elements of the given array will be in the range [-10,000, 10,000].

4. Solutions

My Accepted Solution

n = i_nums.size()
Time complexity: O(n)
Space complexity: O(1)

// sliding windows

class Solution 
{
public:
    // double findMaxAverage(vector<int>& nums, int k) 
    double findMaxAverage(vector<int> &i_nums, int k) 
    {
        double result = 0, sum = 0;
        for(int i = 0; i < k; i++) sum += i_nums[i];
        
        result = sum / k;
        for(int i = k; i < i_nums.size(); i++)
        {
            sum += i_nums[i];
            sum -= i_nums[i - k];
            
            result = max(result, sum / k);
        }
        
        return result;
    }
};
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Tags: Array
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