Car park problem

"""
Car park problem: http://mathworld.wolfram.com/RenyisParkingConstants.html
theoretical solution: 0.7475979202...
"""
import random

uni = random.uniform
THEORY = 0.7475979202 # for large L

def park(L):
    """ How many cars can you park on a street with length L,
            if drivers park their car at random spots
        L : length of parking space - length of car=1
        Recursive solution
    """
    if L < 1:
        return 0
    r = uni(0, L - 1)
    return 1 + park(r) + park(L - r - 1)

def main():
    L = 1000000.0
    cars = park(L)
    sol = cars / L
    print L, sol, "Theory:", THEORY, "Diff %:", (sol - THEORY) / THEORY * 100

main()