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题目:
Given two integers n and k, return all possible combinations of k numbers out of 1 ... n.
For example,
If n = 4 and k = 2, a solution is:
[ [2,4], [3,4], [2,3], [1,2], [1,3], [1,4], ]
思路:
递归
package recursion; import java.util.ArrayList; import java.util.List; public class Combinations { public List<List<Integer>> combine(int n, int k) { List<List<Integer>> res = new ArrayList<List<Integer>>(); List<Integer> record = new ArrayList<Integer>(); generateRecord(res, record, 1, n, k); return res; } private void generateRecord(List<List<Integer>> res, List<Integer> record, int start, int end, int k) { if (k == 0) { res.add(record); return; } for (int i = start; i <= end - k + 1; ++i) { List<Integer> newRecord = new ArrayList<Integer>(record); newRecord.add(i); generateRecord(res, newRecord, i + 1, end, k - 1); } } public static void main(String[] args) { // TODO Auto-generated method stub Combinations c = new Combinations(); List<List<Integer>> res = c.combine(4, 2); for (List<Integer> l : res) { for (int i : l) System.out.print(i + "\t"); System.out.println(); } } }
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原文地址:http://www.cnblogs.com/shuaiwhu/p/5094656.html