http://acm.hdu.edu.cn/showproblem.php?pid=4635

tarjan缩点 统计缩点后每个结点的出度入度 将那个包含原来点数最少的 且出度或者入度为0的大节点看作一个整体内部连边n*(n-1)个 连全部的; 其它的点为一整体连全部的 再两者连一同向的边 保证它的出度或者入度依旧为0的情况下任意连 最后减去原来的边M

 #include <iostream>
#include<cstring>
#include<cstdio>
#include<stdlib.h>
#include<stack>
using namespace std;
#define N 100010
#define M 100010
#define INF 0xfffffff
int a[][];
stack<int>s;
struct node
{
int u,v,next;
}ed[M*];
int scc,sccno[N],head[N],lowlink[N],pre[N],dep,num[N],x[M],y[M],din[N],dout[N],o;
void init()
{
o = ;
memset(head,-,sizeof(head));
}
void add(int u,int v)
{
ed[o].u = u;
ed[o].v = v;
ed[o].next = head[u];
head[u] = o++;
}
void dfs(int u)
{
int i;
lowlink[u] = pre[u] = ++dep;
s.push(u);
for( i = head[u] ; i != - ; i = ed[i].next)
{
int v = ed[i].v;
if(!pre[v])
{
dfs(v);
lowlink[u] = min(lowlink[u],lowlink[v]);
}
else if(!sccno[v])
lowlink[u] = min(lowlink[u],pre[v]);
}
if(lowlink[u]==pre[u])
{
scc++;
for(;;)
{
int x = s.top();
s.pop();
sccno[x] = scc;
if(x==u) break;
}
}
}
void find_scc(int n)
{
for(int i = ; i <= n ;i++)
if(!pre[i])
dfs(i);
}
int main()
{
int i,t,n,m,a,b,kk=;
cin>>t;
while(t--)
{
init();kk++;
memset(num,,sizeof(num));
memset(pre,,sizeof(pre));
memset(din,,sizeof(din));
memset(dout,,sizeof(dout));
memset(sccno,,sizeof(sccno));
scanf("%d%d",&n,&m);
for(i = ; i <= m ; i++)
{
scanf("%d%d",&a,&b);
x[i] = a;y[i] = b;
add(a,b);
}
scc=;dep=;
find_scc(n);
printf("Case %d: ",kk);
if(scc==)
{
cout<<"-1\n";
continue;
}
for(i = ; i <= n ; i++)
num[sccno[i]]++;
for(i = ; i <= m ;i++)
{
if(sccno[x[i]]!=sccno[y[i]])
{
dout[sccno[x[i]]]++;
din[sccno[y[i]]]++;
}
}
long long minz = INF;
for(i = ;i <= scc ; i++)
if(minz>num[i]&&(din[i]==||dout[i]==))
minz = num[i];
long long ss=;
ss = minz*(minz-)+(n-minz)*(n-minz-)+minz*(n-minz);
cout<<ss-m<<endl;
}
return ;
}

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