HDU1827 Summer Holiday 强连通 Tarjan 缩点 统计
2014-01-23 15:26
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中文题一道,好题啊,读题简单多了,做起来也不难,就是缩点,缩点完成后,入度为0的点 就是需要主人公特意需要去打电话的点,缩点后 对于某一个团的最小话费就很好求了,直接暴力查找就可以了,
#include<iostream>
#include<cstdio>
#include<list>
#include<algorithm>
#include<cstring>
#include<string>
#include<queue>
#include<stack>
#include<map>
#include<vector>
#include<cmath>
#include<memory.h>
#include<set>
#define ll long long
#define eps 1e-7
#define inf 0xfffffff
const ll INF = 1ll<<61;
using namespace std;
//vector<pair<int,int> > G;
//typedef pair<int,int > P;
//vector<pair<int,int> > ::iterator iter;
//
//map<ll,int >mp;
//map<ll,int >::iterator p;
//
typedef struct Node {
int from,to;
int nex;
};
Node edge[1000 * 10];
int head[2000 + 10],Stack[2000 + 10],low[2000 + 10],dfn[2000 + 10],id[2000 + 10],w[1000 + 10];
bool vis[2000 + 10];
int tot,vis_num,stack_num,scc_num;
void clear() {
memset(head,-1,sizeof(head));
memset(Stack,0,sizeof(Stack));
memset(low,0,sizeof(low));
memset(dfn,-1,sizeof(dfn));
memset(id,0,sizeof(id));
memset(vis,false,sizeof(vis));
memset(w,0,sizeof(w));
memset(edge,0,sizeof(edge));
tot = 0;
vis_num = 0;
stack_num = 0;
scc_num = 0;
}
void addedge(int u,int v) {
edge[tot].from = u;
edge[tot].to = v;
edge[tot].nex = head[u];
head[u] = tot++;
}
void tarjan(int v) {
dfn[v] = low[v] = ++vis_num;
vis[v] = true;
Stack[stack_num++] = v;
for(int i=head[v];i!=-1;i=edge[i].nex) {
int u = edge[i].to;
if(dfn[u] == -1) {
tarjan(u);
low[v] = min(low[u],low[v]);
}
else if(vis[u])
low[v] = min(low[v],dfn[u]);
}
int tmp;
if(low[v] == dfn[v]) {
scc_num++;
do {
tmp = Stack[--stack_num];
id[tmp] = scc_num;
vis[tmp] = false;
}while(tmp != v);
}
}
void cal(int n) {
for(int i=1;i<=n;i++)
if(dfn[i] == -1)
tarjan(i);
}
int main() {
int n,m;
while(scanf("%d %d",&n,&m) == 2) {
clear();
for(int i=1;i<=n;i++)
scanf("%d",&w[i]);
int a,b;
while(m--) {
scanf("%d %d",&a,&b);
addedge(a,b);
}
cal(n);
int in[2000 + 10];//入度
int hehe[2000 + 10];//话费
memset(in,0,sizeof(in));
for(int i=0;i<tot;i++) {
int u = edge[i].from,v = edge[i].to;
if(id[u] != id[v])
in[ id[v] ]++;
}
int ans1 = 0;
for(int i=1;i<=scc_num;i++) {
if(in[i] == 0)
ans1++;
hehe[i] = inf;
}
for(int i=1;i<=n;i++) {
int tmp = id[i];
if(in[tmp] == 0)
hehe[tmp] = min(hehe[tmp],w[i]);
}
int ans2 = 0;
for(int i=1;i<=scc_num;i++)
if(hehe[i] != inf)
ans2 += hehe[i];
printf("%d %d\n",ans1,ans2);
}
return EXIT_SUCCESS;
}
#include<iostream>
#include<cstdio>
#include<list>
#include<algorithm>
#include<cstring>
#include<string>
#include<queue>
#include<stack>
#include<map>
#include<vector>
#include<cmath>
#include<memory.h>
#include<set>
#define ll long long
#define eps 1e-7
#define inf 0xfffffff
const ll INF = 1ll<<61;
using namespace std;
//vector<pair<int,int> > G;
//typedef pair<int,int > P;
//vector<pair<int,int> > ::iterator iter;
//
//map<ll,int >mp;
//map<ll,int >::iterator p;
//
typedef struct Node {
int from,to;
int nex;
};
Node edge[1000 * 10];
int head[2000 + 10],Stack[2000 + 10],low[2000 + 10],dfn[2000 + 10],id[2000 + 10],w[1000 + 10];
bool vis[2000 + 10];
int tot,vis_num,stack_num,scc_num;
void clear() {
memset(head,-1,sizeof(head));
memset(Stack,0,sizeof(Stack));
memset(low,0,sizeof(low));
memset(dfn,-1,sizeof(dfn));
memset(id,0,sizeof(id));
memset(vis,false,sizeof(vis));
memset(w,0,sizeof(w));
memset(edge,0,sizeof(edge));
tot = 0;
vis_num = 0;
stack_num = 0;
scc_num = 0;
}
void addedge(int u,int v) {
edge[tot].from = u;
edge[tot].to = v;
edge[tot].nex = head[u];
head[u] = tot++;
}
void tarjan(int v) {
dfn[v] = low[v] = ++vis_num;
vis[v] = true;
Stack[stack_num++] = v;
for(int i=head[v];i!=-1;i=edge[i].nex) {
int u = edge[i].to;
if(dfn[u] == -1) {
tarjan(u);
low[v] = min(low[u],low[v]);
}
else if(vis[u])
low[v] = min(low[v],dfn[u]);
}
int tmp;
if(low[v] == dfn[v]) {
scc_num++;
do {
tmp = Stack[--stack_num];
id[tmp] = scc_num;
vis[tmp] = false;
}while(tmp != v);
}
}
void cal(int n) {
for(int i=1;i<=n;i++)
if(dfn[i] == -1)
tarjan(i);
}
int main() {
int n,m;
while(scanf("%d %d",&n,&m) == 2) {
clear();
for(int i=1;i<=n;i++)
scanf("%d",&w[i]);
int a,b;
while(m--) {
scanf("%d %d",&a,&b);
addedge(a,b);
}
cal(n);
int in[2000 + 10];//入度
int hehe[2000 + 10];//话费
memset(in,0,sizeof(in));
for(int i=0;i<tot;i++) {
int u = edge[i].from,v = edge[i].to;
if(id[u] != id[v])
in[ id[v] ]++;
}
int ans1 = 0;
for(int i=1;i<=scc_num;i++) {
if(in[i] == 0)
ans1++;
hehe[i] = inf;
}
for(int i=1;i<=n;i++) {
int tmp = id[i];
if(in[tmp] == 0)
hehe[tmp] = min(hehe[tmp],w[i]);
}
int ans2 = 0;
for(int i=1;i<=scc_num;i++)
if(hehe[i] != inf)
ans2 += hehe[i];
printf("%d %d\n",ans1,ans2);
}
return EXIT_SUCCESS;
}
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