"""
 analyzing the insertion sort

"""

from random import shuffle

def insert_sort(numbers):
    """ return sorted list
        >>> insert_sort([2,10,3,5])
        [2, 3, 5, 10]
    """
    for i in xrange(1, len(numbers)):
        # i is 0 to len-1 ;
        # put numbers[i] in correct place
        j = 0
        while numbers[j] < numbers[i]:
            j += 1
        numbers.insert(j, numbers.pop(i))
    return numbers

def insert_steps(numbers):
    """ return steps taken to sort list
        >>> insert_sort([2,10,3,5])
    """
    steps = 0
    for i in xrange(1, len(numbers)):
        # i is 0 to len-1 ;
        # put numbers[i] in correct place
        j = 0
        while numbers[j] < numbers[i]:
            steps += 1
            j += 1
        steps += 2
        numbers.insert(j, numbers.pop(i))
    return steps

def random_list(size):
    return shuffle(range(size))
    # or something like this
    # return [randint(100) for i in xrange(size)]

def main():
    print "n,steps"
    for repitions in xrange(4):
        for size in [3, 10, 30, 100, 300, 1000]:
            rand_list = random_list(size)
            steps = insert_steps(rand_list)
            print "{},{}".format(size, steps)

if __name__ == "__main__":
    import doctest
    doctest.testmod()