Python 1D Random Walk iterations test

#!/usr/bin/env python
import sys
import random

range = int(sys.argv[1])
v = 0
vmin = 0
vmax = 0
i = 0
while vmax - vmin < range:
    v += random.randint(0, 1) * 2 - 1
    if v < vmin:
        vmin = v
    if v > vmax:
        vmax = v
    i += 1
print i