DMOJ · anoisyclass

A Noisy Class

This C++ solution uses topological sorting for DMOJ anoisyclass A Noisy Class. Read the reasoning, inspect the code, or try your own test case below.

anoisyclassGraphs & treesTopological sortingC++31 lines
Solution003of 248
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Approach

Topological sorting

A Noisy Class asks whether a directed prerequisite graph is acyclic and uses Y/N output; the code performs Kahn topological sorting.

Graphs & trees

Problem and code

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Written by benbenyaojifen. Try the problem first, then compare your approach with the code.

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Implementation

a_noisy_class.cpp

C++

    #include <bits/stdc++.h>
    using namespace std;
    int main(){
        ios::sync_with_stdio(0); cin.tie(0);
        int n, m; cin >> n >> m;
        vector<vector<int>> adj(n);
        vector<int> indegree(n);
        for(int i = 0; i < m; i++){
            int a, b; cin >> a >> b;
            a--; b--;
            adj[a].push_back(b);
            indegree[b]++;
        }
        queue<int> q;
        for(int i = 0; i < indegree.size(); i++){
            if(!indegree[i]) q.push(i);
        }
        int cnt = 0;
        while(!q.empty()){
            cnt++;
            int cur = q.front(); q.pop();
            for(int nxt : adj[cur]){
                if(!--indegree[nxt]) q.push(nxt);
            }
        } 
        if(cnt == n){
            cout << "Y" << '\n';
        } else {
            cout << "N" << '\n';
        }
    }
        

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