题意:给你一个连通图,问你最多加多少条边,还能保证该图不是强连通图。

对整个图求强连通分量,然后对图缩点,记录一下缩点之后每隔点包含的原来的点的个数,找出最少的那个点,然后对这个点建成完全图,对另外的所有点建成完全图。然后+两个点建边-所有原来的遍就好了。

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

 #include <iostream>
#include <vector>
#include <queue>
#include <string.h>
#include <stdlib.h>
#include <stdio.h>
#include <stack> using namespace std;
const int maxn = ; struct edge
{
int u,v,val;
};
int dfn[],low[],belong[],inst[];
int pnum[];
int in[];
int inside[];
int out[];
vector<edge> edges,es;
vector<int>g[maxn];
vector<int>ng[maxn];
stack<int>st;
int bcnt,cnt,dfsclock;
int max(int a,int b)
{
if(a > b)
return a; return b;
}
void init(int n)
{
int i;
for(i =;i <= n;i++)
g[i].clear(); edges.clear(); es.clear();
dfsclock = ;bcnt = cnt = ;
return ;
}
void addedge(int u,int v,int val)
{
edges.push_back((edge){u,v,});
g[u].push_back(cnt);
cnt++; return ;
}
void tarjan(int i)
{
int j;
dfn[i] = low[i] = ++dfsclock;
inst[i] = ;
st.push(i); for(j = ;j < g[i].size();j++)
{
edge e;
e = edges[g[i][j]];
int v;
v = e.v;
if(!dfn[v])
{
tarjan(v);
low[i] = min(low[i],low[v]);
}
else if(inst[v] && dfn[v] < low[i])
low[i] = dfn[v];
}
if(dfn[i] == low[i])
{
bcnt++;
do
{
j = st.top();
st.pop();
inst[j] = ;
belong[j] = bcnt; }
while(j != i);
} }
void tarjans(int n)
{
int i;
bcnt = dfsclock = ;
while(!st.empty())st.pop();
memset(dfn,,sizeof(dfn)); memset(inst,,sizeof(inst));
memset(belong,,sizeof(belong));
for(i = ;i <= n;i++)
if(!dfn[i])tarjan(i);
}
int main()
{
int n,m;
int t; scanf("%d",&t);
int cas = ;
while(t--)
{
scanf("%d %d",&n,&m);
int a,b,i;
init(n);
for(i = ;i < m;i++)
{
scanf("%d %d",&a,&b);
addedge(a,b,);
struct edge x;
x.u = a;
x.v = b;
x.val = ;
es.push_back(x); }
tarjans(n); printf("Case %d: ",++cas);
if(bcnt == )
{
puts("-1");
continue;
}
int pnum[];
int in[];
int out[];
memset(pnum,,sizeof(pnum));
memset(in,,sizeof(in));
memset(out,,sizeof(in));
memset(inside,,sizeof(inside));
for(i = ;i <= n;i++)
{
pnum[belong[i]]++;
} for(i = ;i < m;i++)
{
int u,v;
u = es[i].u;
v = es[i].v;
if(belong[u] != belong[v])
{
out[belong[u]]++;
in[belong[v]]++;
}
}
__int64 ans;
ans = n; for(i = ;i <= bcnt;i++)
{
if(in[i] == || out[i] == )
{
if(ans > pnum[i])
ans = pnum[i];
}
} ans = (__int64)(n-ans)* (__int64)(n-ans-)+ (__int64)ans* (__int64)(ans-)+ (__int64)ans*(__int64)(n-ans)- (__int64)(m);
// printf("bcnt %d p %d ams %d ansi %d\n",bcnt,pnum[ansi],ans,ansi); printf("%I64d\n",ans); }
return ;
}

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