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Maximum Average Subarray I

You are given an integer array nums consisting of n elements, and an integer k.

You are given an integer array nums consisting of n elements, and an integer k.

Find a contiguous subarray whose length is equal to k that has the maximum average value and return this value. Any answer with a calculation error less than 10-5 will be accepted.

Maximum Average Subarray I diagram

Example 1

Input: nums = [1,12,-5,-6,50,3], k = 4

Output: 12.75000

Explanation: Maximum average is (12 - 5 - 6 + 50) / 4 = 51 / 4 = 12.75

Example 2

Input: nums = [5], k = 1

Output: 5.00000

Constraints

  • n == nums.length
  • 1 <= k <= n <= 10^5
  • -10^4 <= nums[i] <= 10^4

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