# 658. Find K Closest Elements

#### Medium

Given a **sorted** integer array `arr`, two integers `k` and `x`, return the `k` closest integers to `x` in the array. The result should also be sorted in ascending order.

An integer `a` is closer to `x` than an integer `b` if:

* `|a - x| < |b - x|`, or
* `|a - x| == |b - x|` and `a < b`

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**Example 1:**

<pre><code>Input: arr = [1,2,3,4,5], k = 4, x = 3
<strong>Output:
</strong> [1,2,3,4]
</code></pre>

**Example 2:**

<pre><code>Input: arr = [1,2,3,4,5], k = 4, x = -1
<strong>Output:
</strong> [1,2,3,4]
</code></pre>

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**Constraints:**

* `1 <= k <= arr.length`
* `1 <= arr.length <= 104`
* `arr` is sorted in **ascending** order.
* `-104 <= arr[i], x <= 104`

```python
class Solution:
    def findClosestElements(self, arr: List[int], k: int, x: int) -> List[int]:
        left, right = 0, len(arr)-k
        while left < right:
            mid = (left + right) // 2
            if x-arr[mid] > (arr[mid+k] - x):
                left = mid+1
            else:
                right = mid
        return arr[left: left+k]
```
