第二天 3 Sum

作者: 业余马拉松选手 | 来源:发表于2018-08-22 01:01 被阅读8次

    这道题是昨天就想好要来刷的,继续用Python,感觉通过刷题,来对这门语言有点感觉,也是个不错的方法吧

    https://leetcode-cn.com/problems/3sum/description/

    题目在昨天的两数之和的基础上其实难度还是增加了不少。

    最初拿到这道题的思路,其实就是希望将问题“退化”到两数之和。依次遍历给定的列表,取出的值先取反,如果剩下的列表中有两数之和等于这个取反之后的值,就构成了一组解。至于去重的话,就干脆用了set,自己就没有再深入做了

    为了遍历和后续处理数据方便,上来就需要把列表排个序【反正这次不需要返回在原来数组的索引值了】

    接着当取出一个值后,“退化”为两数之和的时候,因为是有顺序的,那么就可以相当用两个指针,分别指向一头一尾,采取两头夹逼的方法。这里特别需要注意的时候,当找到一组解之后,还需要再继续寻找。

    那么根据这个思路,我就写出了这样一段代码:

    class Solution:
        def threeSum(self, nums):
            """
            :type nums: List[int]
            :rtype: List[List[int]]
            """
            ret = set()
            nums.sort()
            for k in range(len(nums)):
                i = k+1
                j = len(nums)-1
                target = -nums[k]
                while i<j:
                    two_sum = nums[i] + nums[j]
                    if two_sum == target:
                        ret.add((nums[k],nums[i],nums[j]))
                        i+=1
                        j-=1
                    elif two_sum > target:
                        j-=1
                    elif two_sum < target:
                        i+=1
            return list(ret)
    

    结果很遗憾,TLE了
    没过的case:

    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   

    开始本来认为是两侧夹逼的思路不如昨天那种字典的思路,但后来再仔细看了一下这个跑挂了的测试用例,才觉得问题应该是出现在是否需要退化到“二数之和”的部分,如果列表中两个值相等,那么前一个是否有结果,与后面一个应该是一样的,那么也就不需要循环了。
    另外还有个小的潜在的优化点,就是循环的时候,只需要到倒数第三个值就可以了。
    好,那么简单修改后的代码如下:

    class Solution:
        def threeSum(self, nums):
            """
            :type nums: List[int]
            :rtype: List[List[int]]
            """
            ret = set()
            nums.sort()
            for k in range(len(nums)-2):
                if (k>0 and nums[k] == nums[k-1]):
                    continue
                i = k+1
                j = len(nums)-1
                target = -nums[k]
                while i<j:
                    two_sum = nums[i] + nums[j]
                    if two_sum == target:
                        ret.add((nums[k],nums[i],nums[j]))
                        i+=1
                        j-=1
                    elif two_sum > target:
                        j-=1
                    elif two_sum < target:
                        i+=1
            return list(ret)
    

    这样修改后,可以AC飘过,但也还要1秒多,看到leetcode上最好的算法只要用400ms,当然如果换成Java,“平铺直叙”的写法也只要100ms以内,这。。。。。。

    好吧,其实我就是为了学习下Python而已

    今天对于set的用法稍微实践了一下,另外遍历了的时候也可以使用range这种方法。

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