leetcode40. Combination Sum II

题目描述(难度:Medium)

Given a collection of candidate numbers (C) and a target number (T), find all unique combinations in C where the candidate numbers sums to T.
Each number in C may only be used once in the combination.
Note:
All numbers (including target) will be positive integers.
The solution set must not contain duplicate combinations.
For example, given candidate set [10, 1, 2, 7, 6, 1, 5] and target 8, 
A solution set is: 
[
  [1, 7],
  [1, 2, 5],
  [2, 6],
  [1, 1, 6]
]
Tags: Array, Backtracking
Similar Problems: (M) Combination Sum

分析:每个数字只能被使用1次。从示例[10, 1, 2, 7, 6, 1, 5]可以看出,candidates内有重复数字,但每个数字在一次组合里只能各被使用1次

代码实现:

class Solution(object):
    def combinationSum2(self, candidates, target):
        """
        :type candidates: List[int]
        :type target: int
        :rtype: List[List[int]]
        """
        result = []
        n = len(candidates)
        candidates.sort()#有助于剪枝,且防止结果集中出现重复
        
        def dfs(start, tmpRes, target):
            if target == 0:
                result.append(tmpRes[:])
                return
            
            for i in range(start, n):
                #选择起点
                if i>start and candidates[i]==candidates[i-1]:#防止结果集中出现重复
                    continue
                if target-candidates[i]<0:#尽早剪枝
                    break
                tmpRes.append(candidates[i])
                dfs(i+1, tmpRes, target-candidates[i])
                tmpRes.pop()#递归还原
                
        dfs(0, [], target)
        return result


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