给定一个无重复元素的数组 candidates 和一个目标数 target ,找出 candidates 中所有可以使数字和为 target 的组合。

candidates 中的数字可以无限制重复被选取。

说明:

  • 所有数字(包括 target)都是正整数。
  • 解集不能包含重复的组合。 

示例 1:

输入: candidates = [2,3,6,7], target = 7,
所求解集为:
[
  [7],
  [2,2,3]
]

示例 2:

输入: candidates = [2,3,5], target = 8,
所求解集为:
[
  [2,2,2,2],
  [2,3,3],
  [3,5]
]

解题思路:
先排序,然后递归求解
代码如下:
class Solution:
    def Solver(self, res, path, candidates, target, idx):
        for i in range(idx, len(candidates)):
            new_target = target - candidates[i]
            if new_target < 0:
                return
            else:
                if new_target == 0:
                    res.append(path + [candidates[i]])
                else:
                    self.Solver(res, path + [candidates[i]], candidates,
                                new_target, i)

    def combinationSum(self, candidates, target):
        """
        :type candidates: List[int]
        :type target: int
        :rtype: List[List[int]]
        """
        path = []
        res = []
        candidates = sorted(candidates)
        self.Solver(res, path, candidates, target, 0)
        return res