find-the-most-competitive-subsequence

Find the Most Competitive Subsequence

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mostCompetitive

Given an integer array <code>nums</code> and a positive integer <code>k</code>, return the most competitive subsequence of <code>nums</code> of size <code>k</code>.

An array&#39;s subsequence is a resulting sequence obtained by erasing some (possibly zero) elements from the array.

We define that a subsequence <code>a</code> is more competitive than a subsequence <code>b</code> (of the same length) if in the first position where <code>a</code> and <code>b</code> differ, subsequence <code>a</code> has a number less than the corresponding number in <code>b</code>. For example, <code>[1,3,4]</code> is more competitive than <code>[1,3,5]</code> because the first position they differ is at the final number, and <code>4</code> is less than <code>5</code>.

&nbsp;
Example 1:

<pre>
Input: nums = [3,5,2,6], k = 2
Output: [2,6]
Explanation: Among the set of every possible subsequence: {[3,5], [3,2], [3,6], [5,2], [5,6], [2,6]}, [2,6] is the most competitive.
</pre>

Example 2:

<pre>
Input: nums = [2,4,3,3,5,4,9,6], k = 4
Output: [2,3,3,4]
</pre>

&nbsp;
Constraints:

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

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