3Sum Closest

Given an array S of n integers, find three integers in S such that the sum is closest to a given number, target. Return the sum of the three integers. You may assume that each input would have exactly one solution.

    For example, given array S = {-1 2 1 -4}, and target = 1.

    The sum that is closest to the target is 2. (-1 + 2 + 1 = 2).

分析:跟3sum类似的方法,使用三个指针,让最左边的指针l从[0,size-2]变化,对于每一个固定的最左指针l,中间指针和最右指针在[l+1,size-1]范围内移动,移动方法跟2sum一致。先初始化min_dif=INT_MAX,如果出现更小的dif,则更新min_dif以及closest sum。时间复杂度是O(n^2),空间复杂度是O(1)。
代码如下:
 1 class Solution {
 2 public:
 3     int threeSumClosest(vector<int> &num, int target) {
 4         int size = num.size();
 5         if(size < 3) return 0;
 6         sort(num.begin(),num.end());
 7         int min_dif = INT_MAX;
 8         int closest_sum;
 9         int l = 0, mid = 1, r = size-1;
10         for(;l < size-2;l++){
11             mid = l + 1;
12             r = size - 1;
13             while(mid < r){
14             int sum = num[l] + num[mid] + num[r];
15             int dif = abs(sum-target);
16             if(dif < min_dif){
17                 closest_sum = sum;
18                 min_dif = dif;
19             }
20             if(sum < target) mid++;
21             else r--;
22             }
23         }
24         return closest_sum;
25     }
26 };

 

posted on 2014-08-15 19:26  Ryan-Xing  阅读(138)  评论(0编辑  收藏  举报