poj 1236 Network of Schools : 求需要添加多少条边成为强连通图 tarjan O(E)
/**
problem: http://poj.org/problem?id=1236 缩点后入度为0的点的总数为需要发放软件的学校个数
缩点后出度为0的点的总数和入度为0的点的总数的最大值为需要增加的传输线路的条数(头尾相接)
特别的,当图为强连通图时,发放软件的学校个数为1, 增加线路为0
**/
#include<stdio.h>
#include<stack>
#include<algorithm>
using namespace std; class Graphics{
const static int MAXN = ;
const static int MAXM = ;
private:
struct Edge{
int to, next;
bool bridge;
}edge[MAXM];
struct Point{
int dfn, low, color;
}point[MAXN];
int sign, dfnNum, colorNum, sumOfPoint, first[MAXN];
bool vis[MAXN];
stack<int> stk;
void tarjan(int u){
point[u].dfn = ++dfnNum;
point[u].low = dfnNum;
vis[u] = true;
stk.push(u);
for(int i = first[u]; i != -; i = edge[i].next){
int to = edge[i].to;
if(!point[to].dfn){
tarjan(to);
point[u].low = min(point[to].low, point[u].low);
if(point[to].low > point[u].dfn){
edge[i].bridge = true;
}
}else if(vis[to]){
point[u].low = min(point[to].dfn, point[u].low);
}
}
if(point[u].dfn == point[u].low){
vis[u] = false;
point[u].color = ++colorNum;
while(stk.top() != u){
vis[stk.top()] = false;
point[stk.top()].color = colorNum;
stk.pop();
}
stk.pop();
}
}
public:
void clear(int n){
sign = dfnNum = colorNum = ;
for(int i = ; i <= n; i ++){
first[i] = -;
vis[i] = ;
}
sumOfPoint = n;
while(!stk.empty()) stk.pop();
}
void addEdgeOneWay(int u, int v){
edge[sign].to = v;
edge[sign].bridge = false;
edge[sign].next = first[u];
first[u] = sign ++;
}
void addEdgeTwoWay(int u, int v){
addEdgeOneWay(u, v);
addEdgeOneWay(v, u);
}
void tarjanAllPoint(){
for(int i = ; i <= sumOfPoint; i ++){
if(!point[i].dfn)
tarjan(i);
}
}
pair<int, int> getAns(){
int ans = , ans2 = ;
int *indegree = new int[sumOfPoint+];
int *outdegree = new int[sumOfPoint+];
for(int i = ; i <= sumOfPoint; i ++){
indegree[i] = ;
outdegree[i] = ;
}
tarjanAllPoint();
for(int i = ; i <= sumOfPoint; i ++){
for(int j = first[i]; j != -; j = edge[j].next){
int to = edge[j].to;
if(point[to].color != point[i].color){
outdegree[point[i].color] ++;
indegree[point[to].color] ++;
}
}
}
for(int i = ; i <= colorNum; i ++){
if(!indegree[i]){
ans ++;
}
if(!outdegree[i]){
ans2 ++;
}
}
delete []indegree; delete []outdegree;
if(colorNum == ){
return make_pair(, );
}else{
return make_pair(ans, max(ans, ans2));
}
}
}graph; int main(){
int n;
scanf("%d", &n);
graph.clear(n);
for(int i = ; i <= n; i ++){
int a;
while(scanf("%d", &a) && a){
graph.addEdgeOneWay(i, a);
}
}
pair<int, int> ans = graph.getAns();
printf("%d\n%d\n", ans.first, ans.second);
return ;
}
ps:

这两句话是不一样的,在有向图中存在非环边还是非桥的情况

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