Given an array of 2n integers, your task is to group these integers into n pairs of integer, say (a1, b1), (a2, b2), ..., (an, bn) which makes sum of min(ai, bi) for all i from 1 to n as large as possible.
Example 1:
Input: [1,4,3,2] Output: 4 Explanation: n is 2, and the maximum sum of pairs is 4 = min(1, 2) + min(3, 4).
Note:
- n is a positive integer, which is in the range of [1, 10000].
- All the integers in the array will be in the range of [-10000, 10000].
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给一个2n大小的序列,也就是有n对数,取出每对数中的最小值求和,问最大值是多少。想法是对于一个小的数,要拿一个刚好比他大的数和他组队,不然就浪费一个较大的数。所以实现是先排序,然后每隔一个数取一个数相加得到结果。
代码:
class Solution
{
public:
int arrayPairSum(vector<int>& nums)
{
int res = 0;
sort(nums.begin(), nums.end());
for(int i = 0; i < nums.size(); i+=2)
{
res += nums[i];
}
return res;
}
};