You are given an array `target` that consists of distinct integers and another integer array `arr` that can have duplicates.

In one operation, you can insert any integer at any position in `arr`. For example, if `arr = [1,4,1,2]`, you can add `3` in the middle and make it `[1,4,3,1,2]`. Note that you can insert the integer at the very beginning or end of the array.

Return the minimum number of operations needed to make `target` a subsequence of `arr`.

A subsequence of an array is a new array generated from the original array by deleting some elements (possibly none) without changing the remaining elements' relative order. For example, `[2,7,4]` is a subsequence of `[4,2,3,7,2,1,4]` (the underlined elements), while `[2,4,2]` is not.

Example 1:

    Input: target = [5,1,3], arr = [9,4,2,3,4]
    Output: 2
    Explanation: You can add 5 and 1 in such a way that makes arr = [5,9,4,1,2,3,4], then target will be a subsequence of arr.

Example 2:

    Input: target = [6,4,8,1,3,2], arr = [4,7,6,2,3,8,6,1]
    Output: 3

Constraints:

- `1 <= target.length, arr.length <= 105`
- `1 <= target[i], arr[i] <= 109`
- `target` contains no duplicates.