
    Given a sequence of genetic biomarkers from a patient's diagnostic test results, determine the length of the longest symmetrical pattern that could indicate a potential genetic condition or disease predisposition. The symmetrical pattern can be formed by selecting biomarkers from the sequence (not necessarily consecutive) that read the same forward and backward, and identifying the longest such pattern is crucial for disease risk assessment.
    

    
def lps(str):
    """
    Given a sequence of genetic biomarkers from a patient's diagnostic test results, determine the length of the longest symmetrical pattern that could indicate a potential genetic condition or disease predisposition. The symmetrical pattern can be formed by selecting biomarkers from the sequence (not necessarily consecutive) that read the same forward and backward, and identifying the longest such pattern is crucial for disease risk assessment.
    

    """
def lps(str):
    """
    Given a sequence of genetic biomarkers from a patient's diagnostic test results, determine the length of the longest symmetrical pattern that could indicate a potential genetic condition or disease predisposition. The symmetrical pattern can be formed by selecting biomarkers from the sequence (not necessarily consecutive) that read the same forward and backward, and identifying the longest such pattern is crucial for disease 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]