O(n) Contiguous Subarray in Python

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You are given an array arr of N integers. For each index i, you are required to determine the number of contiguous subarrays that fulfills the following conditions:

  • The value at index i must be the maximum element in the contiguous subarrays, and
  • These contiguous subarrays must either start from or end on index i.

Signature int[] countSubarrays(int[] arr)Input

  • Array arr is a non-empty list of unique integers that range between 1 to 1,000,000,000
  • Size N is between 1 and 1,000,000

Output An array where each index i contains an integer denoting the maximum number of contiguous subarrays of arr[i]Example: arr = [3, 4, 1, 6, 2] output = [1, 3, 1, 5, 1]Explanation:

  • For index 0 – [3] is the only contiguous subarray that starts (or ends) with 3, and the maximum value in this subarray is 3.
  • For index 1 – [4], [3, 4], [4, 1]
  • For index 2 – [1]
  • For index 3 – [6], [6, 2], [1, 6], [4, 1, 6], [3, 4, 1, 6]
  • For index 4 – [2]

So, the answer for the above input is [1, 3, 1, 5, 1]

Solution in Python O(n)

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