#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();
}
}
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
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 |