FourSum.java


Below is the syntax highlighted version of FourSum.java from §4.1 Performance.


/******************************************************************************
 *  Compilation:  javac FourSum.java
 *  Execution:    java FourSum < input.txt
 *
 *  A program with n^4 running time. Reads n long integers
 *  and counts the number of 4-tuples that sum to exactly 0.
 *
 *  Limitations
 *  -----------
 *     - we ignore integer overflow
 *
 ******************************************************************************/

public class FourSum {

    // print distinct 4-tuples (i, j, k, l) such that a[i] + a[j] + a[k] + a[l] = 0
    public static void printAll(long[] a) {
        int n = a.length;
        for (int i = 0; i < n; i++) {
            for (int j = i+1; j < n; j++) {
                for (int k = j+1; k < n; k++) {
                    for (int l = k+1; l < n; l++) {
                        if (a[i] + a[j] + a[k] + a[l] == 0) {
                            StdOut.println(a[i] + " " + a[j] + " " + a[k] + " " + a[l]);
                        }
                    }
                }
            }
        }
    } 

    // return number of distinct 4-tuples (i, j, k, l) such that a[i] + a[j] + a[k] + a[l] = 0
    public static int count(long[] a) {
        int n = a.length;
        int count = 0;
        for (int i = 0; i < n; i++) {
            for (int j = i+1; j < n; j++) {
                for (int k = j+1; k < n; k++) {
                    for (int l = k+1; l < n; l++) {
                        if (a[i] + a[j] + a[k] + a[l] == 0) {
                            count++;
                        }
                    }
                }
            }
        }
        return count;
    } 

    public static void main(String[] args)  { 
        long[] a = StdIn.readAllLongs();
        int n = a.length;
        int count = count(a);
        StdOut.println(count);
        if (count < 10) {
            printAll(a);
        }
    } 
} 


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Last updated: Fri Oct 20 14:12:12 EDT 2017.