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python/TangDou/LuoGuBook/P4017_Topsort.cpp
HuangHai 1f397eca87 'commit'
2025-08-30 18:35:01 +08:00

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#include <bits/stdc++.h>
using namespace std;
const int N = 5005; //种类上限
const int M = 500005; //关系数上限
int n; //种类
int m; //关系数
vector<int> edge[N]; //保存DAG图的邻接表
queue<int> q; //广搜的队列
int ind[N]; //入度
/**
* 测试用例:
3 3
1 2
2 3
1 3
输出拓扑排序,注意拓扑排序不是唯一的
1 2 3
* @return
*/
int main() {
cin >> n >> m;
//m种关系
for (int i = 1; i <= m; i++) {
int x, y;
cin >> x >> y;
ind[y]++; //点y的入度+1
edge[x].push_back(y); //用邻接表记录下
}
//找到所有入度为0的点放入广度优先搜索的队列
for (int i = 1; i <= n; i++) if (!ind[i]) q.push(i);
//广度优先搜索DAG就是拓扑排序的模板
while (!q.empty()) {
int x = q.front();
q.pop();
//输出拓扑序
cout << x << " ";
for (int i = 0; i < edge[x].size(); i++) { //遍历所有出边
int y = edge[x][i]; //目标结点
//对接点入度-1抹去这条入边
ind[y]--;
//如果入度为0则入队列准备处理它
if (!ind[y]) q.push(y);
}
}
return 0;
}