Submission #853857

# Submission time Handle Problem Language Result Execution time Memory
853857 2023-09-25T10:24:40 Z noyancanturk Magenta (COCI21_magenta) C++17
110 / 110
49 ms 11856 KB
#ifndef Local
    #pragma GCC optimize("O3,unroll-loops")
    #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#endif
#include <bits/stdc++.h>
#define int long long
#define pb push_back
#define lim 100000
using namespace std;
const int mod=1000000007ll;

vector<pair<char,int>>e[lim];
int depth1[lim],depth2[lim];
bool can1[lim],can2[lim];
bool safe1[lim],safe2[lim];

void can_bfs(int i,char can,int*depth,bool*cany){
    depth[i]=0;
    cany[i]=1;
    queue<pair<int,int>>q;
    for(auto j:e[i]){
        q.push({j.second,i});
        cany[j.second]=(j.first==can||j.first=='m');
        depth[j.second]=1;
    }
    while(q.size()){
        auto cur=q.front();
        q.pop();
        for(auto j:e[cur.first]){
            if(j.second!=cur.second&&depth[j.second]==-1){
                q.push({j.second,cur.first});
                depth[j.second]=depth[cur.first]+1;
                cany[j.second]=(cany[cur.first]&&(j.first==can||j.first=='m'));
            }
        }
    }
}

void solve(){
    int n;
    cin>>n;
    int a,b;
    cin>>a>>b;
    a--,b--;
    for(int i=0;i<n-1;i++){
        int x,y;
        cin>>x>>y;
        x--,y--;
        string s;
        cin>>s;
        e[x].pb({s[0],y});
        e[y].pb({s[0],x});
        //cerr<<"ok "<<i<<"\n";
    }
    //cerr<<"hmm\n";
    memset(depth1,-1,sizeof(depth1));
    memset(depth2,-1,sizeof(depth2));
    can_bfs(a,'p',depth1,can1);
    can_bfs(b,'c',depth2,can2);
    int wow1=0,wow2=0;
    for(auto j:e[a]){
        if(j.second!=b&&j.first!='c'){
            wow1=1;
            break;
        }
    }
    for(auto j:e[b]){
        if(j.first!='p'){
            wow2=1;
            break;
        }
    }
    if(!wow1){
        cout<<"Marin\n";
        return;
    }else if(!wow2){
        cout<<"Paula\n";
        return;
    }
    for(int i=0;i<n;i++){
        //cerr<<can2[i]<<"\n";
        safe1[i]=0;
        safe2[i]=0;
        for(auto j:e[i]){
            if(can1[i]&&can1[j.second]&&!can2[i]&&!can2[j.second]){
                safe1[i]=1;
            }
            if(can2[i]&&can2[j.second]&&!can1[i]&&!can1[j.second]){
                safe2[i]=1;
            }
        }
        //cerr<<safe1[i]<<" "<<safe2[i]<<" safety\n";
    }
    bool end1=0,end2=0;
    for(int i=0;i<n;i++){
        if(safe1[i]&&depth1[i]<=depth2[i]){
            //cerr<<"first can "<<i<<"\n";
            end1=1;
        }
        if(safe2[i]&&depth2[i]<depth1[i]){
            //cerr<<"second can "<<i<<"\n";
            end2=1;
        }
    }
    //cerr<<end1<<" "<<end2<<" result\n";
    //cerr<<depth1[b]<<"\n";
    bool winner=(depth1[b]%2);
    //cerr<<winner<<"\n";
    if(!winner&&!end2){
        cout<<"Paula\n";
        return;
    }
    if(winner&&!end1){
        cout<<"Marin\n";
        return;
    }
    cout<<"Magenta\n";
}

signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);cout.tie(NULL);
#ifdef Local  
    freopen("in","r",stdin);
    freopen("out","w",stdout);
#endif
    int t=1;
    //cin>>t;
    while (t--)
    {
        solve();
    }
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4440 KB Output is correct
3 Correct 1 ms 4440 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4440 KB Output is correct
6 Correct 1 ms 4440 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 2 ms 4440 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
11 Correct 1 ms 4440 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 1 ms 4440 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 32 ms 10068 KB Output is correct
2 Correct 34 ms 10064 KB Output is correct
3 Correct 34 ms 10064 KB Output is correct
4 Correct 32 ms 10068 KB Output is correct
5 Correct 32 ms 10072 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4440 KB Output is correct
3 Correct 1 ms 4440 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4440 KB Output is correct
6 Correct 1 ms 4440 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 2 ms 4440 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
11 Correct 1 ms 4440 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 1 ms 4440 KB Output is correct
14 Correct 32 ms 10068 KB Output is correct
15 Correct 34 ms 10064 KB Output is correct
16 Correct 34 ms 10064 KB Output is correct
17 Correct 32 ms 10068 KB Output is correct
18 Correct 32 ms 10072 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4440 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 1 ms 4440 KB Output is correct
23 Correct 1 ms 4440 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4440 KB Output is correct
26 Correct 1 ms 4440 KB Output is correct
27 Correct 1 ms 4440 KB Output is correct
28 Correct 1 ms 4440 KB Output is correct
29 Correct 1 ms 4444 KB Output is correct
30 Correct 1 ms 4440 KB Output is correct
31 Correct 36 ms 11676 KB Output is correct
32 Correct 34 ms 11584 KB Output is correct
33 Correct 35 ms 11856 KB Output is correct
34 Correct 49 ms 11608 KB Output is correct