longest-increasing-subsequence

Longest Increasing Subsequence

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lengthOfLIS

Given an integer array <code>nums</code>, return the length of the longest strictly increasing subsequence.

&nbsp;
Example 1:

<pre>
Input: nums = [10,9,2,5,3,7,101,18]
Output: 4
Explanation: The longest increasing subsequence is [2,3,7,101], therefore the length is 4.
</pre>

Example 2:

<pre>
Input: nums = [0,1,0,3,2,3]
Output: 4
</pre>

Example 3:

<pre>
Input: nums = [7,7,7,7,7,7,7]
Output: 1
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>1 &lt;= nums.length &lt;= 2500</code></li>
	<li><code>-104 &lt;= nums[i] &lt;= 104</code></li>
</ul>

&nbsp;
Follow up:&nbsp;Can you come up with an algorithm that runs in&nbsp;<code>O(n log(n))</code> time complexity?

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