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039 combination sum

39. Combination Sum

题目:

https://leetcode.com/problems/combination-sum/

难度:

Medium

最初的思路:

res = []    
def combSum(candidates, target, valueList):
    if target == 0:
        res.append(valueList)
    for candidate in candidates:
        if candidate > target:
            return
        combSum(candidates, target - candidate, valueList + [candidate] )

问题在于,有重复:

combSum([2,3,6,7],7,[])

res
Out[9]: [[2, 2, 3], [2, 3, 2], [3, 2, 2], [7]]

然后看了hint,除[2, 2, 3] 和 [2, 3, 2]这种重复的方式是, 把candidates先sort,然后用index的方式来处理。

所以最终的除重大法如下,根据hint做出:

class Solution(object):
    def combinationSum(self, candidates, target):
        """
        :type candidates: List[int]
        :type target: int
        :rtype: List[List[int]]
        """
        def dfs(remain, combo, index):
            if remain == 0:
                res.append(combo)
                return
            for i in range(index, len(candidates)):
                if candidates[i] > remain:
                    break          
                dfs(remain - candidates[i], combo + [candidates[i]], i)
        candidates = list(set(candidates))
        candidates.sort()
        res = []
        dfs(target, [], 0)
        return res

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