有向图的拓扑序列(求拓扑序列板子)
有向图的拓扑序列
使用vector
#include <bits/stdc++.h>
using namespace std;
const int N = 1e5 + 10;
int n, m;
vector<int> res, g[N];
int d[N];
bool top_sort(){
queue<int> q;
for(int i = 1; i <= n; ++i) if(!d[i]) q.push(i);
while(q.size()){
auto t = q.front(); q.pop();
res.push_back(t);
for(int i = 0; i < g[t].size(); ++i){
int u =g[t][i];
if(--d[u] == 0) q.push(u);
}
}
return res.size() == n;
}
signed main(){
cin >> n >> m;
for(int i = 1; i <= m; ++i){
int x, y; cin >> x >> y; g[x].push_back(y);
++d[y];
}
if(top_sort()){
for(int i = 0; i < res.size(); ++i) cout << res[i] << " ";
}else cout << -1 << endl;
return 0;
}
使用链表
#include <bits/stdc++.h>
using namespace std;
typedef pair<int, int> PII;
const int N = 100010;
int n, m;
int h[N], e[N], ne[N], idx;
int d[N], q[N];
void add(int a, int b){
e[idx] = b, ne[idx] = h[a], h[a] = idx++;
}
bool topsort(){
int hh = 0, tt = -1;
for(int i = 1; i <= n; i++)
if(!d[i]) q[++tt] = i;
while(hh <= tt){
int t = q[hh++];
for(int i = h[t]; i != -1; i = ne[i]){
int j = e[i];
d[j]--;
if(!d[j]) q[++tt] = j;
}
}
return tt == n - 1;
}
int main(){
cin >> n >> m;
memset(h, -1, sizeof h);
for(int i = 0; i < m; i++){
int a, b;
cin >> a >> b;
add(a, b);
d[b]++;
}
if(topsort()){
for(int i = 0; i < n; i++) cout << q[i] << " ";
}else puts("-1");
return 0;
}