Hopcroft-Karp算法模版

#include <cstdio>
#include <cstring>
#include <vector>
#include <queue>
#include <stack>
#include <cmath>
using namespace std;
const int maxn = 3010;
const int INF = 1<<28;
int dx[maxn], dy[maxn];
int cx[maxn], cy[maxn];
vector <int> G[maxn];
int dis;
int n, m;
bool vis[maxn];
bool search()
{
queue <int> Q;
int dis = INF;
memset(dx, -1, sizeof(dx));
memset(dy, -1, sizeof(dy));
for(int i = 0; i < n; i++)
if(cx[i] == -1)
{
Q.push(i);
dx[i] = 0;
}
while(!Q.empty())
{
int u = Q.front(); Q.pop();
if(dx[u] > dis)
break;
for(int i = 0; i < G[u].size(); i++)
{
int v = G[u][i];
if(dy[v] == -1)
{
dy[v] = dx[u] + 1;
if(cy[v] == -1)
dis = dy[v];
else
{
dx[cy[v]] = dy[v] + 1;
Q.push(cy[v]);
}
}
}
}
return dis != INF;
} bool dfs(int u)
{
for(int i = 0; i < G[u].size(); i++)
{
int v = G[u][i];
if(vis[v])
continue;
vis[v] = true;
if(dy[v] == dx[u]+1)
{
if(cy[v] != -1 && dy[v] == dis)
continue;
if(cy[v] == -1 || dfs(cy[v]))
{
cy[v] = u;
cx[u] = v;
return true;
}
}
}
return false;
}
int match()
{
int ans = 0;
memset(cx, -1, sizeof(cx));
memset(cy, -1, sizeof(cy));
while(search())
{
memset(vis, 0, sizeof(vis));
for(int i = 0; i < n; i++)
if(cx[i] == -1 && dfs(i))
ans++;
}
return ans;
}
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