leetcode39. Combination Sum

39. Combination Sum

Given a set of candidate numbers (C) (without duplicates) and a target number (T), find all unique combinations in C where the candidate numbers sums to T.

The same repeated number may be chosen from C unlimited number of times.

Note:
All numbers (including target) will be positive integers.
The solution set must not contain duplicate combinations.
For example, given candidate set [2, 3, 6, 7] and target 7,
A solution set is:

[
  [7],
  [2, 2, 3]
]

解法

回溯法,先对数组进行排序,每次添加本元素及本元素之后的内容。注意ret.add(new ArrayList(temp));要重新new一个list。

public class Solution {
    public List<List<Integer>> combinationSum(int[] candidates, int target) {
        List<List<Integer>> ret = new ArrayList<>();
        if (candidates == null || candidates.length == 0 || target <= 0) {
            return ret;
        }
        Arrays.sort(candidates);
        backtrack(ret, new ArrayList<Integer>(), candidates, target, 0);
        return ret;
    }
    private void backtrack(List<List<Integer>> ret, List<Integer> temp, int[] candidates, int remain, int start) {
        if (remain == 0) {
            ret.add(new ArrayList<Integer>(temp));
        } else if (remain < 0) {
            return;
        }
        for (int i = start; i < candidates.length; i++) {
            temp.add(candidates[i]);
            backtrack(ret, temp, candidates, remain - candidates[i], i);
            temp.remove(temp.size() - 1);
        }
    }
}
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