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38 lines
1.2 KiB
HTML
38 lines
1.2 KiB
HTML
<p>Given an integer array <code>nums</code>, return the length of the longest strictly increasing subsequence.</p>
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<p>A <strong>subsequence</strong> is a sequence that can be derived from an array by deleting some or no elements without changing the order of the remaining elements. For example, <code>[3,6,2,7]</code> is a subsequence of the array <code>[0,3,1,6,2,2,7]</code>.</p>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [10,9,2,5,3,7,101,18]
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<strong>Output:</strong> 4
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<strong>Explanation:</strong> The longest increasing subsequence is [2,3,7,101], therefore the length is 4.
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</pre>
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<p><strong>Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [0,1,0,3,2,3]
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<strong>Output:</strong> 4
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</pre>
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<p><strong>Example 3:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [7,7,7,7,7,7,7]
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<strong>Output:</strong> 1
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>1 <= nums.length <= 2500</code></li>
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<li><code>-10<sup>4</sup> <= nums[i] <= 10<sup>4</sup></code></li>
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</ul>
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<p> </p>
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<p><b>Follow up:</b> Can you come up with an algorithm that runs in <code>O(n log(n))</code> time complexity?</p>
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