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# 0398. Random Pick Index

<https://leetcode.com/problems/random-pick-index>

## Description

Given an integer array `nums` with possible **duplicates**, randomly output the index of a given `target` number. You can assume that the given target number must exist in the array.

Implement the `Solution` class:

* `Solution(int[] nums)` Initializes the object with the array `nums`.
* `int pick(int target)` Picks a random index `i` from `nums` where `nums[i] == target`. If there are multiple valid i's, then each index should have an equal probability of returning.

**Example 1:**

```
**Input**
["Solution", "pick", "pick", "pick"]
[[[1, 2, 3, 3, 3]], [3], [1], [3]]
**Output**
[null, 4, 0, 2]
**Explanation**
Solution solution = new Solution([1, 2, 3, 3, 3]);
solution.pick(3); // It should return either index 2, 3, or 4 randomly. Each index should have equal probability of returning.
solution.pick(1); // It should return 0. Since in the array only nums[0] is equal to 1.
solution.pick(3); // It should return either index 2, 3, or 4 randomly. Each index should have equal probability of returning.
```

**Constraints:**

* `1 <= nums.length <= 2 * 104`
* `-231 <= nums[i] <= 231 - 1`
* `target` is an integer from `nums`.
* At most `104` calls will be made to `pick`.

## ac

```java
```