//Tai Lum

public class ProblemSet1 {
	public static void main(String[] args) {
		int sum;
		int SIDES = 6;
		int t = 0;
		int dice1;
		int dice2;
		int numRolls = 500000;
		double[] distcalc = new double[2 * SIDES + 1];
		//Start of Experimental Data Collection of 500000 rolls of the dice
		while (t < numRolls) {
			dice1 = (int) (Math.random() * 6 + 1);
			dice2 = (int) (Math.random() * 6 + 1);
			sum = dice1 + dice2;
			distcalc[sum] += 1.0;
			t++;
			sum = 0;
		}

		System.out.println("Experimental Data");

		for (int k = 2; k <= 2 * SIDES; k++) {
			distcalc[k] /= numRolls;
			System.out.println(distcalc[k]);
		}

		System.out.println("");
		System.out.println("Empirical Data");

		double[] dist = new double[2 * SIDES + 1];
		for (int i = 1; i <= SIDES; i++) {
			for (int j = 1; j <=SIDES; j++) {
				dist[i + j] += 1.0;
			}
		}

		for (int k = 2; k <= 2 * SIDES; k++) {
			dist[k] /= 36.0;
			System.out.println(dist[k]);
		}

		System.out.println(compareValues(dist, distcalc));
	}

	// Comparison method to check if the number of rolls was enough
	public static boolean compareValues(double[] a, double[] b) {
		double comparisonValue = 0.001;
		for (int i = 2; i <= 12; i++) {
			double difference = Math.abs(a[i] - b[i]);
			if (difference > comparisonValue)
				return false;

		}
		return true;

	}
}