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Solution: Longest Increasing Subsequence

Let's solve the Longest Increasing Subsequence problem using the Dynamic Programming pattern.

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:

  • 11 \leq nums.length 985\leq 985
  • 104-10^4 \leq nums[i] 104\leq 10^4

Solution

So far, you’ve probably brainstormed some approaches and have an idea of how to solve ...