This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define all(x) (x).begin(), (x).end()
#define ff first
#define ss second
#define pb push_back
#define mp make_pair
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<ll, ll> pll;
typedef pair<ull, ull> pull;
typedef pair<int, int> pii;
typedef pair<ld, ld> pld;
int n;
vector<int> g[100009][2];
int reach[100009][2];
int dis[1000009][2];
void dfs(int v, int col){
reach[v][col] = 1;
for(auto u : g[v][col])
if(reach[u][col] == 0)
dfs(u, col);
}
void calcdis(int v, int col){
for(auto u : g[v][0])
if(dis[u][col] == 1e9){
dis[u][col] = dis[v][col]+1;
calcdis(u, col);
}
for(auto u : g[v][1])
if(dis[u][col] == 1e9){
dis[u][col] = dis[v][col]+1;
calcdis(u, col);
}
}
int st[2];
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
//freopen("in.txt", "r", stdin);
//freopen("out.txt", "w", stdout);
cin >> n;
cin >> st[0] >> st[1];
for(int i = 0; i < n-1; ++i){
int x, y;
cin >> x >> y;
string s;
cin >> s;
if(s == "plava" || s == "magenta"){
g[x][0].pb(y);
g[y][0].pb(x);
}
if(s == "crvena" || s == "magenta"){
g[x][1].pb(y);
g[y][1].pb(x);
}
}
for(int i = 1; i <= n; ++i)
dis[i][0] = dis[i][1] = 1e9;
dfs(st[0], 0);
dfs(st[1], 1);
dis[st[0]][0] = 0;
dis[st[1]][1] = 0;
calcdis(st[0], 0);
calcdis(st[1], 1);
int winner;
if(dis[st[0]][1]%2)
winner = 1;
else
winner = 0;
int loser = winner^1;
int draw = 0;
if(g[st[0]][0].empty()){
cout << "Marin\n";
return 0;
}
if(g[st[1]][1].empty()){
cout << "Paula\n";
return 0;
}
if(reach[st[loser]][winner] == 0){
cout << "Magenta\n";
return 0;
}
for(int i = 1; i <= n; ++i){
if(reach[i][winner] || dis[i][winner] <= dis[i][loser]) continue;
if(reach[i][loser] == 0) continue;
int ok = 0;
for(auto u : g[i][loser]){
if(reach[u][winner] || dis[u][winner] <= dis[u][loser]) continue;
if(reach[u][loser] == 0) continue;
ok = 1;
}
if(ok) draw = 1;
}
if(draw)
cout << "Magenta\n";
else if(winner == 0)
cout << "Paula\n";
else
cout << "Marin\n";
}
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