/************************************************************************* * Compilation: javac ThreeSumFast.java * Execution: java ThreeSumFast input.txt * Data files: http://algs4.cs.princeton.edu/14analysis/1Kints.txt * http://algs4.cs.princeton.edu/14analysis/2Kints.txt * http://algs4.cs.princeton.edu/14analysis/4Kints.txt * http://algs4.cs.princeton.edu/14analysis/8Kints.txt * http://algs4.cs.princeton.edu/14analysis/16Kints.txt * http://algs4.cs.princeton.edu/14analysis/32Kints.txt * http://algs4.cs.princeton.edu/14analysis/1Mints.txt * * A program with N^2 log N running time. Read in N integers * and counts the number of triples that sum to exactly 0. * * Limitations * ----------- * - we ignore integer overflow * - doesn't handle case when input has duplicates * * * % java ThreeSumFast 1Kints.txt * 70 * * % java ThreeSumFast 2Kints.txt * 528 * * % java ThreeSumFast 4Kints.txt * 4039 * * % java ThreeSumFast 8Kints.txt * 32074 * * % java ThreeSumFast 16Kints.txt * 255181 * * % java ThreeSumFast 32Kints.txt * 2052358 * *************************************************************************/ import java.util.Arrays; public class ThreeSumFast { // print distinct triples (i, j, k) such that a[i] + a[j] + a[k] = 0 public static void printAll(int[] a) { int N = a.length; Arrays.sort(a); for (int i = 0; i < N; i++) { for (int j = i+1; j < N; j++) { int k = Arrays.binarySearch(a, -(a[i] + a[j])); if (k > j) StdOut.println(a[i] + " " + a[j] + " " + a[k]); } } } // return number of distinct triples (i, j, k) such that a[i] + a[j] + a[k] = 0 public static int count(int[] a) { int N = a.length; Arrays.sort(a); int cnt = 0; for (int i = 0; i < N; i++) { for (int j = i+1; j < N; j++) { int k = Arrays.binarySearch(a, -(a[i] + a[j])); if (k > j) cnt++; } } return cnt; } public static void main(String[] args) { int[] a = In.readInts(args[0]); Stopwatch timer = new Stopwatch(); int cnt = count(a); StdOut.println("elapsed time = " + timer.elapsedTime()); StdOut.println(cnt); } }