/****************************************************************************** * Compilation: javac Partition * Execution: java Partition N * * Print out all partitions of a positive integer N. In number theory, * a partition of N is a way to write it as a sum of positive integers. * Two sums that differ only in the order of their terms are considered * the same partition. * * % java Partition 4 * 4 * 3 1 * 2 2 * 2 1 1 * 1 1 1 1 * * % java Partition 6 * 6 * 5 1 * 4 2 * 4 1 1 * 3 3 * 3 2 1 * 3 1 1 1 * 2 2 2 * 2 2 1 1 * 2 1 1 1 1 * 1 1 1 1 1 1 * ******************************************************************************/ public class Partition { public static void partition(int n) { partition(n, n, ""); } public static void partition(int n, int max, String prefix) { if (n == 0) { StdOut.println(prefix); return; } for (int i = Math.min(max, n); i >= 1; i--) { partition(n-i, i, prefix + " " + i); } } public static void main(String[] args) { int n = Integer.parseInt(args[0]); partition(n); } }