private static double simulate(int k, int n, long iterations)
        {
            System.Random r = new Random();

            int truecases = 0;
            for (long i = 0; i < iterations; i++)
            {
                long[] chips = new long[n];
                for (int e = 0; e < k; e++)
                {
                    int error_chip = r.Next(n);
                    chips[error_chip]++;
                }
                if (chips.Max() > 2)
                    truecases++;
            }

            return (double)truecases / (double)iterations;
        }