快排里的partition应用-找第k大的数字

Partition 算法

参考自:

白话经典算法系列之六 快速排序 快速搞定

挖数填坑:

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int (vector<int>& nums, int low, int high)
{
int x = nums[low];
int i = low;
int j = high-1;
while(i<j)
{
while(i<j&&nums[j]<=x)
j--;
if(i<j)
nums[i]=nums[j];
while(i<j&&nums[i]>=x)
i++;
if(i<j)
nums[j]=nums[i];
}
nums[i]=x;
return i;
}

FindKthNumber

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int findKthLargest(vector<int>& nums, int k) {
int begin = 0, end = nums.size();
int target_num = 0;
while (begin <= end){
int pos = partition(nums, begin, end);
if(pos == k-1){
target_num = nums[pos];
break;
}
else if(pos > k-1){
end = pos;
}
else{
begin = pos + 1;
}
}
return target_num;
}

全部代码

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#include<vector>
using namespace std;

int (vector<int>& nums, int low, int high)
{
int x = nums[low];
int i = low;
int j = high-1;
while(i<j)
{
while(i<j&&nums[j]<=x)
j--;
if(i<j)
nums[i]=nums[j];
while(i<j&&nums[i]>=x)
i++;
if(i<j)
nums[j]=nums[i];
}
nums[i]=x;
return i;
}

int findKthLargest(vector<int>& nums, int k) {
int begin = 0, end = nums.size();
int target_num = 0;
while (begin <= end){
int pos = partition(nums, begin, end);
if(pos == k-1){
target_num = nums[pos];
break;
}
else if(pos > k-1){
end = pos;
}
else{
begin = pos + 1;
}
}
return target_num;
}


int main()
{
vector<int> nums={2, 1};
printf("%d", findKthLargest(nums, 2));
getchar();
}

例题:Kth Largest Element in an Array