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Find Longest Increasing Subsequence Length in Python

Compute the length of the longest increasing subsequence in an array using dynamic programming.

dynamic-programming subsequence algorithm
Python 
def longest_increasing_subsequence(nums):
    if not nums:
        return 0
    
    dp = [1] * len(nums)
    
    for i in range(1, len(nums)):
        for j in range(i):
            if nums[i] > nums[j]:
                dp[i] = max(dp[i], dp[j] + 1)
    
    return max(dp)

if __name__ == "__main__":
    # Demo with…
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