
    Design a function that determines how many unique learning path variations would result in an odd number of completed modules when rotating a student's current module completion sequence by different starting points. Given a binary sequence representing completed (1) and incomplete (0) modules in a student's learning path, calculate how many different rotations of this sequence, up to the specified number of rotations, would result in an odd number of completed modules.
    

    
def odd_Equivalent(s, n):
    """
    Design a function that determines how many unique learning path variations would result in an odd number of completed modules when rotating a student's current module completion sequence by different starting points. Given a binary sequence representing completed (1) and incomplete (0) modules in a student's learning path, calculate how many different rotations of this sequence, up to the specified number of rotations, would result in an odd number of completed modules.
    

    """
def odd_Equivalent(s, n):
    """
    Design a function that determines how many unique learning path variations would result in an odd number of completed modules when rotating a student's current module completion sequence by different starting points. Given a binary sequence representing completed (1) and incomplete (0) modules in a student's learning path, calculate how many different rotations of this sequence, up to the specified number of rotations, would result in an odd number of completed modules.
    

    """
    count = 0
    for i in range(0, n):
        if s[i] == '1':
            count = count + 1
    return count