HDU 1827 Summer Holiday (强连通分量)

题目地址:HDU 1827

先缩点,缩完点后,找出入度为0的块就是需要传递的块。然后用块中花费最少的来当代表块中的花费。累加起来就行了。

代码如下:

#include <iostream>
#include <string.h>
#include <math.h>
#include <queue>
#include <algorithm>
#include <stdlib.h>
#include <map>
#include <set>
#include <stdio.h>
using namespace std;
#define LL __int64
#define pi acos(-1.0)
const int mod=1e9+7;
const int INF=0x3f3f3f3f;
const double eqs=1e-9;
const int MAXN=1000+10;
const int MAXM=2000+10;
int head[MAXN], cnt, indx, top, ans;
int low[MAXN], dfn[MAXN], belong[MAXN], instack[MAXN], stk[MAXN], cost[MAXN], d[MAXN], in[MAXN];
struct node
{
        int u, v, next;
}edge[MAXM];
void add(int u, int v)
{
        edge[cnt].u=u;
        edge[cnt].v=v;
        edge[cnt].next=head[u];
        head[u]=cnt++;
}
void tarjan(int u)
{
        low[u]=dfn[u]=++indx;
        instack[u]=1;
        stk[++top]=u;
        for(int i=head[u];i!=-1;i=edge[i].next){
                int v=edge[i].v;
                if(!dfn[v]){
                        tarjan(v);
                        low[u]=min(low[u],low[v]);
                }
                else if(instack[v]){
                        low[u]=min(low[u],dfn[v]);
                }
        }
        if(low[u]==dfn[u]){
                ans++;
                while(1){
                        int v=stk[top--];
                        instack[v]=0;
                        belong[v]=ans;
                        if(u==v) break;
                }
        }
}
void init()
{
        memset(head,-1,sizeof(head));
        memset(instack,0,sizeof(instack));
        memset(dfn,0,sizeof(dfn));
        memset(cost,INF,sizeof(cost));
        memset(in,0,sizeof(in));
        cnt=top=indx=ans=0;
}
int main()
{
        int n, m, i, u, v, sum, tot;
        while(scanf("%d%d",&n,&m)!=EOF){
                init();
                for(i=1;i<=n;i++){
                        scanf("%d",&d[i]);
                }
                while(m--){
                        scanf("%d%d",&u,&v);
                        add(u,v);
                }
                for(i=1;i<=n;i++){
                        if(!dfn[i]) tarjan(i);
                }
                //printf("ans=%d\n",ans);
                for(i=0;i<cnt;i++){
                        if(belong[edge[i].u]!=belong[edge[i].v])
                                in[belong[edge[i].v]]++;
                }
                sum=tot=0;
                for(i=1;i<=n;i++){
                        if(cost[belong[i]]>d[i])
                                cost[belong[i]]=d[i];
                }
                for(i=1;i<=ans;i++){
                        if(!in[i]){
                                tot++;
                                sum+=cost[i];
                        }
                }
                printf("%d %d\n",tot,sum);
        }
        return 0;
}


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