"""Examples of iteration using the while statement"""


def num_digits(n) :
    """counts the number of digits in a number"""
    count = 0
    while n > 0 :
        count = count + 1
        n = n // 10
    return count


def countdown(n) :
    while n > 0 :
        print n
        n = n-1
    print "Blastoff!"

# what does this function do?

def countup(n) :
    while (n > 0) :
        print n
        n += 1      # same as n = n + 1

# Use ctrl-C to stop any program

# let's look at this one:

def ulam(n):
    while n != 1:
        print n,
        if n % 2 == 0:        # n is even
            n = n // 2
        else:                 # n is odd
            n = n * 3 + 1