http://poj.org/problem?id=1422
Description
例如
Consider a town where all the streets are one-way and each street leads from one intersection to another. It is also known that starting from an intersection and walking through town's streets you can never reach the same intersection i.e. the town's streets form no cycles.
With these assumptions your task is to write a program that finds the minimum number of paratroopers that can descend on the town and visit all the intersections of this town in such a way that more than one paratrooper visits no intersection. Each paratrooper lands at an intersection and can visit other intersections following the town streets. There are no restrictions about the starting intersection for each paratrooper.
Input
Your program should read sets of data. The first line of the input file contains the number of the data sets. Each data set specifies the structure of a town and has the format:
no_of_intersections
no_of_streets
S1 E1
S2 E2
......
Sno_of_streets Eno_of_streets
The first line of each data set contains a positive integer no_of_intersections (greater than 0 and less or equal to 120), which is the number of intersections in the town. The second line contains a positive integer no_of_streets, which is the number of streets in the town. The next no_of_streets lines, one for each street in the town, are randomly ordered and represent the town's streets. The line corresponding to street k (k <= no_of_streets) consists of two positive integers, separated by one blank: Sk (1 <= Sk <= no_of_intersections) - the number of the intersection that is the start of the street, and Ek (1 <= Ek <= no_of_intersections) - the number of the intersection that is the end of the street. Intersections are represented by integers from 1 to no_of_intersections.
There are no blank lines between consecutive sets of data. Input data are correct.
Output
The result of the program is on standard output. For each input data set the program prints on a single line, starting from the beginning of the line, one integer: the minimum number of paratroopers required to visit all the intersections in the town.
Sample Input
2
4
3
3 4
1 3
2 3
3
3
1 3
1 2
2 3
Sample Output
2
1
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
求出来的DFS()实际上是二分图的最大匹配边数；n个点减掉最大匹配的边，剩下的就是需要投多少士兵在上边就行了，匹配边上需要放士兵，但只需要在匹配边的2端，只一端放就行了，另外的人放到n-2*DFS（）上，所以需要放的士兵总数为n-2*DFS()+DFS()=n-DFS();
#include<stdio.h>
#include<string.h>
int map[200][200],link[200],vist[200];
int m,n;
int find(int u)
{
int i,j,k;
for(i=1;i<=n;i++)
{
if(!vist[i]&&map[u][i])
{
vist[i]=1;
if(!link[i]||find(link[i]))
{
link[i]=u;
return 1;
}
}
}
return 0;
}
int DFS()
{
int i,j,k,ans=0;
memset(link,0,sizeof(link));
for(i=1;i<=n;i++)
{
memset(vist,0,sizeof(vist));
if(find(i))
ans++;
}
return ans;
}
int main()
{
int i,j,k,ncase,a,b;
scanf("%d",&ncase);
while(ncase--)
{
scanf("%d%d",&n,&m);
memset(map,0,sizeof(map));
while(m--)
{
scanf("%d%d",&a,&b);
map[a][b]=1;
}
printf("%d\n",n-DFS());
}
return 0;
}
