Question4390837.java

import java.io.FileOutputStream;
import java.io.IOException;
import java.io.PrintStream;
import java.util.Random;

public class Question4390837 {
    final static int a = 2;
    final static int b = 2;
    
    final static int ntrials = 100000000;
    final static int nbins = 1000;
    
    final static Random random = new Random();
    
    public static void main(String [] args) throws IOException {
        int [] bins = new int [nbins];
        
        double [] A = new double [a];
        double [] B = new double [b];
        
        for (int n = 0;n < ntrials;n++) {
            for (int i = 0;i < a;i++)
                A [i] = random.nextDouble();
            for (int i = 0;i < b;i++)
                B [i] = random.nextDouble();
            
            double min = 1;
            for (int i = 0;i < a;i++)
                for (int j = 0;j < b;j++)
                    min = Math.min(min,Math.abs(A [i] - B [j]));
            
            for (int bin = (int) (min * nbins + 1);bin < nbins;bin++)
                bins [bin]++;
        }
        
        PrintStream out = new PrintStream(new FileOutputStream ("/Users/joriki/math/Question4390837.txt"));
        for (int bin = 1;bin < nbins;bin++)
            out.println(bin / (double) nbins + " " + bins [bin] / (double) ntrials);
        out.close();
    }
}