Running Median
Description
For this problem, you will write a program that reads in a sequence of 32-bit signed integers. After each odd-indexed value is read, output the median (middle value) of the elements received so far.
Input
The first line of input contains a single integer P, (1 ≤ P ≤ 1000), which is the number of data sets that follow. The first line of each data set contains the data set number, followed by a space, followed by an odd decimal integer M, (1 ≤ M ≤ 9999), giving the total number of signed integers to be processed. The remaining line(s) in the dataset consists of the values, 10 per line, separated by a single space. The last line in the dataset may contain less than 10 values.
Output
For each data set the first line of output contains the data set number, a single space and the number of medians output (which should be one-half the number of input values plus one). The output medians will be on the following lines, 10 per line separated by a single space. The last line may have less than 10 elements, but at least 1 element. There should be no blank lines in the output.
Sample Input
3
1 9
1 2 3 4 5 6 7 8 9
2 9
9 8 7 6 5 4 3 2 1
3 23
23 41 13 22 -3 24 -31 -11 -8 -7
3 5 103 211 -311 -45 -67 -73 -81 -99
-33 24 56
Sample Output
1 5
1 2 3 4 5
2 5
9 8 7 6 5
3 12
23 23 22 22 13 3 5 5 3 -3
-7 -3
题意:动态维护中位数。
分析:见这里
代码
#include <cstdio>
#include <queue>
using namespace std;
priority_queue<int> maxq;
priority_queue<int,vector<int>,greater<int> >minq;
int n,m,a[100005];
void swap(int x,int y)
{
x^=y;
y^=x;
x^=y;
}
int main()
{
// freopen("1.in","r",stdin);
int T;
scanf("%d", &T);
while (T--)
{
scanf("%d%d",&m,&n);
printf("%d %d\n",m,(n+1)/2);
int x;
scanf("%d",&x);
a[1]=x;
while (!minq.empty()) minq.pop();
while (!maxq.empty()) maxq.pop();
minq.push(x);
int cnt=1;
for (int i=3;i<=n;i+=2)
{
int y;
scanf("%d%d",&x,&y);
if (x<y) swap(x,y);
minq.push(x);
maxq.push(y);
int u=minq.top();
int v=maxq.top();
if (u<v)
{
minq.pop();
maxq.pop();
minq.push(v);
maxq.push(u);
}
a[++cnt]=minq.top();
}
for (int i=1;i<=cnt;i++)
if (i%10==0||i==cnt) printf("%d\n",a[i]);
else printf("%d ",a[i]);
}
}