UVA 11324 The Largest Clique 强连通分量 DP

找强连通分量，缩点，DP

//#pragma comment(linker, "/STACK:1024000000,1024000000")
#include<cstdio>
#include<cstring>
#include<cstdlib>
#include<algorithm>
#include<iostream>
#include<sstream>
#include<cmath>
#include<climits>
#include<string>
#include<map>
#include<queue>
#include<vector>
#include<stack>
#include<set>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
#define pb(a) push(a)
#define INF 0x1f1f1f1f
#define lson idx<<1,l,mid
#define rson idx<<1|1,mid+1,r
#define PI  3.1415926535898
template<class T> T min(const T& a,const T& b,const T& c) {
    return min(min(a,b),min(a,c));
}
template<class T> T max(const T& a,const T& b,const T& c) {
    return max(max(a,b),max(a,c));
}
void debug() {
#ifdef ONLINE_JUDGE
#else

    freopen("d:\in1.txt","r",stdin);
    freopen("d:\out1.txt","w",stdout);
#endif
}
int getch() {
    int ch;
    while((ch=getchar())!=EOF) {
        if(ch!=' '&&ch!='
')return ch;
    }
    return EOF;
}

struct Edge
{
    int u,v;
};

const int maxn=1005;

vector<int> g[maxn];
int pre[maxn],low[maxn],sccno[maxn];
int dfs_clock,scc_cnt;

stack<int> s;

void dfs(int u)
{
    s.push(u);
    low[u]=pre[u]=++dfs_clock;
    for(int i=0;i<g[u].size();i++)
    {
        int v=g[u][i];
        if(!pre[v])
        {

            dfs(v);
            low[u]=min(low[u],low[v]);
        }else if(!sccno[v])
        {
            low[u]=min(low[u],pre[v]);
        }
    }
    if(low[u]==pre[u])
    {
        scc_cnt++;
        while(1)
        {
            int x=s.top();s.pop();
            sccno[x]=scc_cnt;
            if(x==u)break;
        }
    }
}

void tarjan(int n)
{
    memset(sccno,0,sizeof(sccno));
    memset(pre,0,sizeof(pre));
    dfs_clock=scc_cnt=0;
    for(int i=1;i<=n;i++)
        if(!pre[i])dfs(i);
}

vector<int> gscc[maxn];
int w[maxn];
int deg0[maxn];
void construct(int n)
{
    for(int i=1;i<=scc_cnt;i++)
    {
        gscc[i].clear();
        deg0[i]=1;
    }
    for(int i=1;i<=n;i++)
        for(int j=0;j<g[i].size();j++)
    {
        int v=g[i][j];
        if(sccno[i]!=sccno[v])
        {
            gscc[sccno[i]].push_back(sccno[v]);
            deg0[sccno[v]]=0;
        }

    }
    memset(w,0,sizeof(w));
    for(int i=1;i<=n;i++)
        w[sccno[i]]++;
}

int dp[maxn];
int f(int u)
{
    if(dp[u]>=0)return dp[u];
    dp[u]=w[u];
    for(int i=0;i<gscc[u].size();i++)
    {
        int v=gscc[u][i];
        dp[u]=max(dp[u],f(v)+w[u]);
    }
    return dp[u];
}
int main()
{
    int t;
    scanf("%d",&t);

    for(int ca=1;ca<=t;ca++)
    {
        int n,m;
        scanf("%d%d",&n,&m);
        for(int i=1;i<=n;i++)g[i].clear();
        for(int i=1;i<=m;i++)
        {
            int u,v;
            scanf("%d%d",&u,&v);
            g[u].push_back(v);
        }

        tarjan(n);
        construct(n);

        int res=0;
        memset(dp,-1,sizeof(dp));
        for(int i=1;i<=scc_cnt;i++) if(deg0[i])
        {
            res=max(res,f(i));
        }

        printf("%d
",res);
    }
    return 0;
}