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# Maxed Arrays

Problem Description

An array of integers X of length N is called Maxed with respect to a particular element K inside it if:
1. 3 <= N
2. If the index of the element K is i, then 1 < i < N
3. max(X[1], … , X[i]) ≠ max(X[2], … , X[i])
4. max(X[i], … , X[N]) ≠ max(X[i], … , X[N-1])
Given an array A of integers, for each element in A from index 1 to |A|, you need to find the sum of the length of all the subarrays of A that are Maxed with respect to each of these elements. Output is an array B where B[i] denotes the sum of the length of all the Maxed subarrays with respect to A[i].

Problem Constraints
1 <= |A| <= 105

0 <= A[i] <= 109

Input Format
The first argument is an integer array A.

Output Format
Return an integer array, the answer for each element in A.

Example Input
Input 1:
`A = [0, 2, 1]`
Input 2:
`A = [5, 3, 2, 5, 7]`

Example Output
Output 1:
`[0, 0, 0]`
Output 2:
`[0, 9, 16, 0, 0]`

Example Explanation
For Input 1:
```There is no subarray for the 0th element because it would always be the first element in each subarray.
For the 1st element, there is only the subarray [0, 2, 1] which satisfies the first 2 conditions. But it doesn’t satisfy the 2nd condition as max(0, 2) = max(2).
There is no subarray for 2nd element because it would always be the last element in each subarray.```
For Input 2:
```There is no subarray for the 0th element because it would always be the first element in each subarray.
The 2 subarrays that satisfy the conditions for the 1st element are [5, 3, 2, 5] and [5, 3, 2, 5, 7]. The sum of lengths is 4 + 5 = 9.
A total of 4 subarrays satisfy the conditions for the 2nd element - [5, 3, 2, 5], [5, 3, 2, 5, 7], [3, 2, 5, 7] and [3, 2, 5]. Sum = 3 + 4 + 4 + 5 = 16.
No subarray satisfies the conditions for the 3rd and 4th elements.```

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
Hints
• Hint 1
• Solution Approach
• Complete Solution

## Discussion

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