Array Partition I
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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].
这个数学问题感觉比较简单?要使总和最大,就要把最小的数和次小的数分在同一组,不然它们都会被用来做加法
那思路就是做一个由小到大的排序,然后从第一个数字开始,隔一个取一个数字相加就是结果了
python内置函数多,可以直接排序、求和
class Solution(object): def arrayPairSum(self, nums): """ :type nums: List[int] :rtype: int """ return sum(sorted(nums)[::2])
C++同理,不过求和的时候用for循环
class Solution {public: int arrayPairSum(vector<int>& nums) { int sum = 0; int i = 0; int size = nums.size(); sort(nums.begin(), nums.end()); for(i=0; i<size-1; i+=2){ sum += nums[i]; } return sum; }};
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