
    In a hospital's patient readmission database, determine if a specific health risk factor is the primary driver of readmissions. Given a sorted array of risk factor codes from patient records and a particular risk factor code under investigation, develop a function to verify if this risk factor appears in more than half of all documented cases. The function should analyze the sorted readmission records and the total number of cases to identify whether the specified risk factor represents the majority cause of hospital readmissions.
    

    
def binary_search(arr, low, high, x):
    if high >= low:
        mid = (low + high) // 2
        if (mid == 0 or x > arr[mid - 1]) and arr[mid] == x:
            return mid
        elif x > arr[mid]:
            return binary_search(arr, mid + 1, high, x)
        else:
            return binary_search(arr, low, mid - 1, x)
    return -1

def is_majority(arr, n, x):
    """
    In a hospital's patient readmission database, determine if a specific health risk factor is the primary driver of readmissions. Given a sorted array of risk factor codes from patient records and a particular risk factor code under investigation, develop a function to verify if this risk factor appears in more than half of all documented cases. The function should analyze the sorted readmission records and the total number of cases to identify whether the specified risk factor represents the majority cause of hospital readmissions.
    

    """
def binary_search(arr, low, high, x):
    if high >= low:
        mid = (low + high) // 2
        if (mid == 0 or x > arr[mid - 1]) and arr[mid] == x:
            return mid
        elif x > arr[mid]:
            return binary_search(arr, mid + 1, high, x)
        else:
            return binary_search(arr, low, mid - 1, x)
    return -1

def is_majority(arr, n, x):
    """
    In a hospital's patient readmission database, determine if a specific health risk factor is the primary driver of readmissions. Given a sorted array of risk factor codes from patient records and a particular risk factor code under investigation, develop a function to verify if this risk factor appears in more than half of all documented cases. The function should analyze the sorted readmission records and the total number of cases to identify whether the specified risk factor represents the majority cause of hospital readmissions.
    

    """
    i = binary_search(arr, 0, n - 1, x)
    if i == -1:
        return False
    if i + n // 2 <= n - 1 and arr[i + n // 2] == x:
        return True
    else:
        return False