You are given a 0-indexed array of `n` integers `arr`.

The interval between two elements in `arr` is defined as the absolute difference between their indices. More formally, the interval between `arr[i]` and `arr[j]` is `|i - j|`.

Return an array `intervals` of length `n` where `intervals[i]` is the sum of intervals between `arr[i]` and each element in `arr` with the same value as `arr[i]`.

Note: `|x|` is the absolute value of `x`.

Example 1:

    Input: arr = [2,1,3,1,2,3,3]
    Output: [4,2,7,2,4,4,5]
    Explanation:
    - Index 0: Another 2 is found at index 4. |0 - 4| = 4
    - Index 1: Another 1 is found at index 3. |1 - 3| = 2
    - Index 2: Two more 3s are found at indices 5 and 6. |2 - 5| + |2 - 6| = 7
    - Index 3: Another 1 is found at index 1. |3 - 1| = 2
    - Index 4: Another 2 is found at index 0. |4 - 0| = 4
    - Index 5: Two more 3s are found at indices 2 and 6. |5 - 2| + |5 - 6| = 4
    - Index 6: Two more 3s are found at indices 2 and 5. |6 - 2| + |6 - 5| = 5

Example 2:

    Input: arr = [10,5,10,10]
    Output: [5,0,3,4]
    Explanation:
    - Index 0: Two more 10s are found at indices 2 and 3. |0 - 2| + |0 - 3| = 5
    - Index 1: There is only one 5 in the array, so its sum of intervals to identical elements is 0.
    - Index 2: Two more 10s are found at indices 0 and 3. |2 - 0| + |2 - 3| = 3
    - Index 3: Two more 10s are found at indices 0 and 2. |3 - 0| + |3 - 2| = 4

Constraints:

- `n == arr.length`
- `1 <= n <= 105`
- `1 <= arr[i] <= 105`