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Q1
#include <bits/stdc++.h>
using namespace std;
#define INF 100000

struct Edge{
    int a;
    int b;
};

int main(){
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    ios::sync_with_stdio(false);
    cin.tie(0);
    int e;
    int all = 0;
    int MAX = 1;
    string u, v;
    int a, b;

    while(cin>>e){
        MAX = 1;
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        vector<string> name;
        vector<vector<int>> cost;
        vector<Edge> edges;

        for(int i = 0 ; i < e ; i++){
            cin>>u>>v;
            all = 0;
            for(int j = 0 ; j < (int)name.size() ; j++){
                if(u == name[j]){
                    all += 10;
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                    a = j;
                }
                else if(v == name[j]){
                    all += 1;
                    b = j;
                }
                if(all == 11)break;
            }
          	if(u == v){
            	b = a;
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            }
            if(all == 0){
              	if(u == v){
                	a = (int)name.size();
                  	name.push_back(u);
                  	b = a;
                }
              	else{
              	 	a = (int)name.size();
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               		name.push_back(u);
               		b = (int)name.size();
                 	name.push_back(v);
              	}
            }
            else if(all == 1){
                a = (int)name.size();
                name.push_back(u);
            }
            else if(all == 10){
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                if(u != v){
                b = (int)name.size();
                name.push_back(v);
                }
            }
          	if(a != b)
            edges.push_back({a, b});
        }

        cost.resize((int)name.size());
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        for(int i = 0 ; i < (int)name.size() ; i++){
            cost[i].resize((int)name.size(), INF);
            cost[i][i] = 0;
        }

        for(int i = 0 ; i < (int)edges.size() ; i++){
            cost[edges[i].a][edges[i].b] = 1;
            cost[edges[i].b][edges[i].a] = 1;
        }

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        for(int i = 0 ; i < (int)cost.size() ; i++){
            for(int j = 0 ; j < (int)cost.size() ; j++){
                for(int k = 0 ; k < (int)cost.size() ; k++){
                    if(cost[j][k] > (cost[j][i] + cost[i][k])){
                        cost[j][k] = cost[j][i] + cost[i][k];
                        //MAX = max(MAX, cost[j][k]);
                    }
                }
            }
        }
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        /*for(int i = 0 ; i < cost.size() ; i++){
            for(int j = 0 ; j < cost.size() ; j++){
                cout<<cost[i][j]<<" ";
            }
            cout<<endl;
        }*/
        bool TF = true;
        for(int i = 0 ; i < (int)cost.size() ; i++){
            for(int j = 0 ; j < (int)cost.size() ; j++){
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                if(cost[i][j] == INF){
                    MAX = -1;
                    TF = false;
                    break;
                }
                MAX = max(MAX, cost[i][j]);
            }
            if(TF == false)break;
        }
        cout<<MAX<<"\n";
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    }

    return 0;
}
Q2
#include <bits/stdc++.h>
using namespace std;

int main(){
    int l, r, s;
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    while(cin>>l>>r>>s){
        vector<long> locrad;
        vector<pair<int, long>> adj[l];
        vector<int> shelter;
        int start;
        long rad;
        int a, b, c;

        for(int i = 0 ; i < l ; i++){
            cin>>rad;
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            locrad.push_back(rad);
        }
        for(int i = 0 ; i < r ; i++){
            cin>>a>>b>>c;
            adj[a].push_back({b, c});
            adj[b].push_back({a, c});
        }
        for(int i = 0 ; i < s ; i++){
            cin>>a;
            shelter.push_back(a);
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        }
        cin>>start;

        vector<long> cumrad(l, INT_MAX);
        cumrad[start] = locrad[start];

        priority_queue<pair<int, long>, vector<pair<int, long>>, greater<pair<int, int>>> pq;
        pq.push({locrad[start], start});
        while(!pq.empty()){
            int a = pq.top().second;
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            pq.pop();
            for(auto u : adj[a]){
                int b = u.first, w = u.second;
                if(cumrad[a] + w + locrad[b] < cumrad[b]){
                    cumrad[b] = cumrad[a] + w + locrad[b];
                    pq.push({cumrad[b], b});
                }
            }
        }
        int minrad = INT_MAX;
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        for(int i = 0 ; i < s ; i++){
            minrad = min((long)minrad, cumrad[shelter[i]]);
        }
        if(minrad >= INT_MAX)minrad = -1;

        cout<<minrad<<"\n";
    }

    return 0;
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}
Q3
#include <bits/stdc++.h>
using namespace std;
int n, m, c, r;

bool BFS(vector<vector<int>> &rGraph, int s, int t, vector<int> &parent){
    vector<bool> visited(rGraph.size(), false);

    queue<int> q;
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    q.push(s);
    visited[s] = true;
    parent[s] = -1;

    int u;
    while(!q.empty()){
        u = q.front();
        q.pop();
        for(int v = 0 ; v < (int)rGraph.size() ; ++v){
            if(!visited[v] && rGraph[u][v] > 0){
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                q.push(v);
                parent[v] = u;
                visited[v] = true;
            }
        }
    }

    return visited[t] == true;
}

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int FF(vector<vector<int>> &graph, int s, int t){
    int u, v;
    vector<vector<int>> rGraph(n+m+2);
    for(int i = 0 ; i < (int)rGraph.size() ; i++){
        rGraph[i].resize(n+m+2);
    }

    for(u = 0 ; u < (int)rGraph.size() ; u++){
        for(v = 0 ; v < (int)rGraph.size() ; v++){
            rGraph[u][v] = graph[u][v];
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        }
    }

    vector<int> parent(rGraph.size());
    int max_flow = 0;

    while(BFS(rGraph, s, t, parent)){
        int path_flow = INT_MAX;

        for(v = t ; v != s ; v = parent[v]){
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            u = parent[v];
            path_flow = min(path_flow, rGraph[u][v]);
        }

        for (v = t; v != s; v = parent[v])
        {
            u = parent[v];
            rGraph[u][v] -= path_flow;
            rGraph[v][u] += path_flow;
        }
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        max_flow += path_flow;
    }

    return max_flow;
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
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    while(cin>>n>>m>>c>>r){
        vector<vector<int>> graph(n+m+2);
        for(int i = 0 ; i < (int)graph.size() ; i++){
            graph[i].resize(graph.size(), 0);
        }
        int student, num, time;
        for(int i = 1 ; i <= m ; i++){
            graph[0][i] = 1;
            cin>>student>>num;
            for(int j = 0 ; j < num ; j++){
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                cin>>time;
                graph[i][m+1+time] = 1;
            }
        }

        int ts;
        for(int i = 0 ; i < r ; i++){
            for(int j = 0 ; j < n ; j++){
                graph[m+1+j][m+n+1] = 0;
            }
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            cin>>ts;
            for(int j = 0 ; j < ts ; j++){
                cin>>time;
                graph[m+1+time][m+n+1] = c;
            }
            cout<<m-FF(graph, 0, m+n+1)<<"\n";
        }
    }

    return 0;
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}

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