(sequence)
return max(counts)
Dynamic Programming Algorithm for
    counting the length of longest increasing subsequence
    type sequence: list[int]
    rtype: int
Dynamic Programming Algorithm for
    counting the length of longest increasing subsequence
    type sequence: list[int]
    rtype: int
Dynamic Programming Algorithm for counting the length of longest increasing subsequence type sequence : list [ int ] rtype : int
def longest_increasing_subsequence(sequence):
    """
    Dynamic Programming Algorithm for
    counting the length of longest increasing subsequence
    type sequence: list[int]
    rtype: int
    """
    length = len(sequence)
    counts = [1 for _ in range(length)]
    for i in range(1, length):
        for j in range(0, i):
            if sequence[i] > sequence[j]:
                counts[i] = max(counts[i], counts[j] + 1)
                print(counts)
    return max(counts)
def longest_increasing_subsequence ( sequence ) : length = len ( sequence ) counts = [ 1 for _ in range ( length ) ] for i in range ( 1 , length ) : for j in range ( 0 , i ) : if sequence [ i ] > sequence [ j ] : counts [ i ] = max ( counts [ i ] , counts [ j ] + 1 ) print ( counts ) return max ( counts )