LeetCode-561. Array Partition I(Quick Sort快速排序)
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561. Array Partition I
题目
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].
算法
主要就是排序算法,然后把奇数位加和。
以前经常用最笨的冒泡算法去排序,今天尝试用一下快排,体验到了时间复杂度的不同。
快排:
Time Submitted | Status | Runtime | Memory | Language |
---|---|---|---|---|
a few seconds ago | Accepted | 36 ms | 9.1 MB | c |
冒泡:
Time Submitted | Status | Runtime | Memory | Language |
---|---|---|---|---|
23 minutes ago | Accepted | 6356 ms | 8.9 MB | c |
差距还是蛮大的。
快排思想很简单,每次取第一个元素为基准,然后放在它应该放的位置,左边的都小于它,右边的都大于它,然后右边和左边递归。
代码
void quicksort(int* nums,int left ,int right){
if(left>right)return;
int temp = nums[left];
int i;int j;
i = left; j = right;
while(i!=j){
while(nums[j]>=temp&&i<j)j--;
while(nums[i]<=temp&&i<j)i++;
if(i!=j){
int tmp = nums[i];
nums[i]=nums[j];
nums[j] = tmp;
}
}
nums[left] = nums[i];
nums[i] =temp;
quicksort(nums,left,i-1);
quicksort(nums,i+1,right);
}
int arrayPairSum(int* nums, int numsSize) {
quicksort(nums,0,numsSize-1);
int i;
int result=0;
for(i = 0;i<numsSize;i=i+2){
result+=nums[i];
}
return result;
}
标签:Sort,integers,right,10000,int,561,Partition,快排,left 来源: https://blog.csdn.net/weixin_41580638/article/details/88218376