gistfile1.py

import random

n = 100

sets = [set([person_id]) for person_id in range(0, n)]

person_id_indicated_by_light = None

for day in range(0, 1000000):
    set = sets[random.randint(0, n-1)]

    if person_id_indicated_by_light is not None:
        set.add(person_id_indicated_by_light)

    if len(set) == 100:
        print "Freedom in", day/365, "years"
        break

    person_id_indicated_by_light = day % 100 if (day % 100 in set) else None