maximum-number-of-distinct-elements-after-operations

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Algorithms

You are given an integer array <code>nums</code> and an integer <code>k</code>.

You are allowed to perform the following operation on each element of the array at most once:

<ul>
	<li>Add an integer in the range <code>[-k, k]</code> to the element.</li>
</ul>

Return the maximum possible number of distinct elements in <code>nums</code> after performing the operations.

&nbsp;
Example 1:

<div class="example-block">
Input: nums = [1,2,2,3,3,4], k = 2

Output: 6

Explanation:

<code>nums</code> changes to <code>[-1, 0, 1, 2, 3, 4]</code> after performing operations on the first four elements.
</div>

Example 2:

<div class="example-block">
Input: nums = [4,4,4,4], k = 1

Output: 3

Explanation:

By adding -1 to <code>nums[0]</code> and 1 to <code>nums[1]</code>, <code>nums</code> changes to <code>[3, 5, 4, 4]</code>.
</div>

&nbsp;
Constraints:

<ul>
	<li><code>1 &lt;= nums.length &lt;= 105</code></li>
	<li><code>1 &lt;= nums[i] &lt;= 109</code></li>
	<li><code>0 &lt;= k &lt;= 109</code></li>
</ul>