poj 3041Asteroids 2分匹配求最小点覆盖模板题
poj 3041Asteroids 二分匹配求最小点覆盖模板题
//最大匹配=最小覆盖
//这题是求最小覆盖点的模板题
#include<iostream>
#include<cstdio>
#include<cstring>
using namespace std;
const int maxn = 510;
int line[maxn][maxn];
int match[maxn];
int vis[maxn];
int N , K;
int find(int start)
{
for(int i = 1;i <= N;i++)
{
if(line[start][i] && !vis[i])
{
vis[i] = 1;
if(match[i] == -1 || find(match[i]))
{
match[i] = start;
return 1;
}
}
}
return 0;
}
void Match()
{
memset(match, -1 ,sizeof(match));
int ans = 0;
for(int i = 1 ; i <=N ;i++)
{
memset(vis , 0 ,sizeof(vis));
if(find(i))
ans++;
}
printf("%d\n", ans);
}
int main()
{
//freopen("in.txt", "r",stdin);
while(scanf("%d%d" ,&N ,&K)!=EOF)
{
int r,c;
memset(line, 0 ,sizeof(line));
for(int i = 1;i <= K;i++)
{
scanf("%d%d",&r , &c);
line[r][c] = 1;
}
Match();
}
return 0;
}
//最大匹配=最小覆盖
//这题是求最小覆盖点的模板题
#include<iostream>
#include<cstdio>
#include<cstring>
using namespace std;
const int maxn = 510;
int line[maxn][maxn];
int match[maxn];
int vis[maxn];
int N , K;
int find(int start)
{
for(int i = 1;i <= N;i++)
{
if(line[start][i] && !vis[i])
{
vis[i] = 1;
if(match[i] == -1 || find(match[i]))
{
match[i] = start;
return 1;
}
}
}
return 0;
}
void Match()
{
memset(match, -1 ,sizeof(match));
int ans = 0;
for(int i = 1 ; i <=N ;i++)
{
memset(vis , 0 ,sizeof(vis));
if(find(i))
ans++;
}
printf("%d\n", ans);
}
int main()
{
//freopen("in.txt", "r",stdin);
while(scanf("%d%d" ,&N ,&K)!=EOF)
{
int r,c;
memset(line, 0 ,sizeof(line));
for(int i = 1;i <= K;i++)
{
scanf("%d%d",&r , &c);
line[r][c] = 1;
}
Match();
}
return 0;
}