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TangDou/LuoGuBook/P2661_Bfs_Check_Circle_Prepare.cpp
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56
TangDou/LuoGuBook/P2661_Bfs_Check_Circle_Prepare.cpp
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#include <bits/stdc++.h>
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using namespace std;
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/**
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5 5
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1 2
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2 3
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2 5
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3 4
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3 1
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对比上个例子,添加了一条3->1的边,就成了有向有环图.
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本题,也就不能输出拓扑序了,因为有环图没有拓扑序,拓扑序是针对DAG的。可以判断是否有环。
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*/
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//本代码功能:以bfs判断一个有向图SDG是否有环
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const int N = 1010;
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int st[N]; //标识是不是已经使用过
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vector<int> edge[N];//邻接表
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int ind[N]; //入度表
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int n; //n个结点
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int m; //m个关系
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queue<int> q; //队列
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vector<int> ans; //ans 为拓扑序列
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int main() {
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//读入,建图
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cin >> n >> m;
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for (int i = 1; i <= m; i++) {
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int x, y;
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cin >> x >> y;
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edge[x].push_back(y);
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ind[y]++;
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}
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for (int i = 1; i <= n; i++) if (ind[i] == 0) q.push(i); //将入度为0的点入队列
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while (!q.empty()) {
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int p = q.front();
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q.pop(); // 选一个入度为0的点,出队列
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ans.push_back(p);
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for (int i = 0; i < edge[p].size(); i++) {
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int y = edge[p][i];
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ind[y]--;
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if (ind[y] == 0) q.push(y);
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}
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}
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if (ans.size() == n) {
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for (int i = 0; i < ans.size(); i++)
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printf("%d ", ans[i]);
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printf("\n");
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} else printf("No Answer!\n"); // ans 中的长度与n不相等,就说明无拓扑序列
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return 0;
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}
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