/*
 * Created on Oct 13, 2004
 * This code corresponds to the worksheet on proof by
 * mathematical induction given out in class.
 *
 * @author tanimoto
 */
public class Induction {

    static int countA;
    static int countB;
    
    public static void main(String[] args) {
	int p = 10;
	System.out.println("p = " + p);
	loopA(p);
	System.out.println("countA = " + countA);
	loopB(p);
	System.out.println("countB = " + countB);
    }
    
    static void loopA(int n) {
	countA = 0;
	for (int i = 0; i < n; i++) {
	    int lim = 2*i+1;
	    for (int j = 0; j < lim; j++) {
		for (int k = 0; k < lim; k++) {
		    countA++;
		    countA++;
		    countA++;
		}
	    }
	}
    }
    static void loopB(int n) {
	countB = 0;
	for (int i = 0; i < n; i++) {
	    for (int j = 0; j < (2*n)-1; j++) {
		for (int k = 0; k < (2*n)+1; k++) {
		    countB++;
		}
	    }
	}
    }
}