/*  CPE 315

    Program to show that (x+y) + z != x + (y+z) 

*/

import java.io.*;

public class associative {

  public static void main (String args[]) {

    float a = 1.111f;
    float b = 2.222f;
    float c = 3.333f;

    float d = (a + b) + c;
    float e = a + (b + c);

    System.out.println ("d = " + d);
    System.out.println ("e = " + e);

    if (d == e)
      System.out.println ("floating point addition is associative");
    else
      System.out.println ("floating point can cause arithmetic problems");

  }

}

/*  Output

d = 6.6659994
e = 6.666
floating point causes arithmetic problems

*/