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package algs14;
import stdlib.*;
/* ***********************************************************************
* Compilation: javac ThreeSum.java
* Execution: java ThreeSum 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 cubic running time. Read in N integers
* and counts the number of triples that sum to exactly 0
* (ignoring integer overflow).
*
* % java ThreeSum 1Kints.txt
* 70
*
* % java ThreeSum 2Kints.txt
* 528
*
* % java ThreeSum 4Kints.txt
* 4039
*
*************************************************************************/
public class ThreeSum {
public static int ops;
// 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;
for (int i = 0; i < N; i++) {
for (int j = i+1; j < N; j++) {
for (int k = j+1; k < N; k++) {
if (a[i] + a[j] + a[k] == 0) {
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;
int cnt = 0;
ops = 0;
for (int i = 0; i < N; i++) {
for (int j = i+1; j < N; j++) {
for (int k = j+1; k < N; k++) {
ops += 3;
if (a[i] + a[j] + a[k] == 0) {
cnt++;
}
}
}
}
return cnt;
}
public static void main(String[] args) {
args = new String[] { "data/100ints.txt" };
// args = new String[] { "data/200ints.txt" };
// args = new String[] { "data/500ints.txt" };
// args = new String[] { "data/1Kints.txt" };
// args = new String[] { "data/2Kints.txt" };
// args = new String[] { "data/4Kints.txt" };
// args = new String[] { "data/8Kints.txt" };
int[] a = new In(args[0]).readAllInts();
//printAll (a);
Stopwatch timer = new Stopwatch();
int cnt = count(a);
StdOut.println("elapsed time = " + timer.elapsedTime());
StdOut.println(cnt);
}
}
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