public double cycleRange(double R) {
		double low = Double.MAX_VALUE;
		double high = Double.MIN_VALUE;
		double answer = 0.25;
		for(int i = 1;i <= 200000;i++){
			answer = F(R,answer);
		}
		for(int i = 1;i <= 1000;i++)
		{
			answer = F(R,answer);
			low = Math.min(answer, low);
			high = Math.max(answer, high);
			
		}
		return high-low;
	}