HDU 2647 Reward(toposort)

Reward

Problem Description

Dandelion's uncle is a boss of a factory. As the spring festival is coming , he wants to distribute rewards to his workers. Now he has a trouble about how to distribute the rewards.
The workers will compare their rewards ,and some one may have demands of the distributing of rewards ,just like a's reward should more than b's.Dandelion's unclue wants to fulfill all the demands, of course ,he wants to use the least money.Every work's reward will be at least 888 , because it's a lucky number.

 

Input

One line with two integers n and m ,stands for the number of works and the number of demands .(n<=10000,m<=20000)
then m lines ,each line contains two integers a and b ,stands for a's reward should be more than b's.

 

Output

For every case ,print the least money dandelion 's uncle needs to distribute .If it's impossible to fulfill all the works' demands ,print -1.

 

Sample Input

2 1

1 2

2 2

1 2

2 1

 

Sample Output

1777

-1

 

建反向图编号

 

#include<cstdio>
#include<cstring>
#include<vector>
using namespace std;

const int maxn=10005;

struct Node
{
    int c;
    int id;
}node[maxn];

vector<int>G[maxn];
bool indegree[maxn];
int n,m;

void init()
{
    for(int i=1;i<=n;i++)
        G[i].clear();
    memset(node,0,sizeof(node));
    memset(indegree,0,sizeof(indegree));
}

bool dfs(int u,int id)
{
    node[u].c=-1;
    for(int i=0;i<G[u].size();i++)
        if(node[G[u][i]].c<0)return false;
    else if(!dfs(G[u][i],id+1))return false;
        node[u].c=1;
        node[u].id=max(node[u].id,id);
    return true;
}

bool toposort()
{
    for(int i=1;i<=n;i++)
        if(!node[i].c&&!indegree[i])
        {
            if(!dfs(i,0))
            return false;
        }
    for(int i=1;i<=n;i++)
        if(!node[i].c)
        return false;
    return true;
}

int main()
{
    int a,b;
    while(scanf("%d%d",&n,&m)!=EOF)
    {
        init();
        for(int i=0;i<m;i++)
        {
             scanf("%d%d",&a,&b);
             G[b].push_back(a);
             indegree[a]=true;
        }
        bool ans=toposort();
        if(ans)
        {
            int temp=0;
            for(int i=1;i<=n;i++)
                temp+=node[i].id;
            printf("%d
",888*n+temp);
        }
        else
            printf("-1
");
    }
    return 0;
}