
    Given a patient's genetic sequence data, write a function to identify the length of the longest symmetrical pattern that appears in the sequence when read both forward and backward, as these palindromic sequences can indicate potential genetic markers for medical conditions. The function should analyze the genetic sequence to find subsequences that maintain their pattern integrity when read in either direction, even if the elements are not consecutive in the original sequence, helping identify significant biomarkers for patient risk assessment.
    

    
def lps(str):
    """
    Given a patient's genetic sequence data, write a function to identify the length of the longest symmetrical pattern that appears in the sequence when read both forward and backward, as these palindromic sequences can indicate potential genetic markers for medical conditions. The function should analyze the genetic sequence to find subsequences that maintain their pattern integrity when read in either direction, even if the elements are not consecutive in the original sequence, helping identify significant biomarkers for patient risk assessment.
    

    """
def lps(str):
    """
    Given a patient's genetic sequence data, write a function to identify the length of the longest symmetrical pattern that appears in the sequence when read both forward and backward, as these palindromic sequences can indicate potential genetic markers for medical conditions. The function should analyze the genetic sequence to find subsequences that maintain their pattern integrity when read in either direction, even if the elements are not consecutive in the original sequence, helping identify significant biomarkers for patient risk assessment.
    

    """
    n = len(str)
    L = [[0 for x in range(n)] for x in range(n)]
    for i in range(n):
        L[i][i] = 1
    for cl in range(2, n + 1):
        for i in range(n - cl + 1):
            j = i + cl - 1
            if str[i] == str[j] and cl == 2:
                L[i][j] = 2
            elif str[i] == str[j]:
                L[i][j] = L[i + 1][j - 1] + 2
            else:
                L[i][j] = max(L[i][j - 1], L[i + 1][j])
    return L[0][n - 1]