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Grokking the Coding Interview Patterns in C#

Longest Increasing Subsequence

Explore how to identify and solve the Longest Increasing Subsequence problem by finding the length of the longest strictly increasing subsequence in a given integer array. This lesson helps you understand the problem constraints and implement an optimal solution with O(n log n) time complexity and O(n) space complexity.

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Statement

The Longest Increasing Subsequence (LIS) is the longest subsequence from a given array in which the subsequence elements are sorted in a strictly increasing order. Given an integer array, nums, find the length of the LIS in this array.

Constraints:

  • 1≤1 \leq
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