#include <bits/stdc++.h>
using namespace std;
#define task "Magenta"
#define fi first
#define se second
#define pb push_back
#define FOR(i, a, b) for(int i = (a), _b = (b); i <= _b; i ++)
#define FORD(i, a, b) for(int i = (a), _b = (b); i >= _b; i --)
#define bit(x, i) ((x >> i) & 1)
#define oo 1e18
#define all(v) v.begin(), v.end()
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;
// mt19937 rd(chrono::steady_clock::now().time_since_epoch().count());
// ll rand(ll l, ll r) { assert(l <= r); return uniform_int_distribution<ll>(l, r)(rd); }
const int N = 1e5 + 5;
const int mod = 1e9 + 7;
const int base = 31;
int n, s[2], dist[2][N], d = 0;
bool can[2], runner;
vector<pii> g[N];
int col(string s){
if(s == "plava") return 0;
if(s == "crvena") return 1;
return 2;
}
void outp(int t){
if(t == 0) cout<<"Paula";
if(t == 1) cout<<"Marin";
if(t == 2) cout<<"Magenta";
exit(0);
}
void dfs(int cur, int u, int p){
for(auto [v, color] : g[u]) if(v != p){
if(v == s[cur ^ 1]) d = dist[cur][u] + 1;
if(color == (cur ^ 1)) continue;
dist[cur][v] = dist[cur][u] + 1;
dfs(cur, v, u);
}
}
bool hide(int u, int p){
bool ans = 0;
for(auto [v, color] : g[u]) if(v != p){
if(color == (runner ^ 1) || (dist[runner ^ 1][v] != -1 && dist[runner ^ 1][v] >= dist[runner][v])) continue;
if(dist[runner ^ 1][u] == -1 && dist[runner ^ 1][v] == -1)
return 1;
ans |= hide(v, u);
}
return ans;
}
void solve(){
cin>>n>>s[0]>>s[1];
FOR(i, 1, n - 1){
int x, y; string color; cin>>x>>y>>color;
int c = col(color);
g[x].pb({y, c});
g[y].pb({x, c});
if(c != 1 && (x == s[0] && y != s[1] || y == s[0] && x != s[1]))
can[0] = 1;
if(c != 0 && (x == s[1] || y == s[1]))
can[1] = 1;
}
if(!can[0]) outp(1);
if(!can[1]) outp(0);
memset(dist, -1, sizeof dist);
FOR(i, 0, 1){
dist[i][s[i]] = 0;
dfs(i, s[i], 0);
}
runner = (d % 2) ^ 1;
if(hide(s[runner], 0)) outp(2);
outp(runner ^ 1);
}
int32_t main(){
ios::sync_with_stdio(false);
cin.tie(NULL);
if(fopen(task".inp", "r")){
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
int nTest = 1;
// cin>>nTest;
while(nTest --) solve();
// cerr << "\nTime: " << 1.0 * clock() / CLOCKS_PER_SEC << "s\n";
return 0;
}
/*
*/
Compilation message (stderr)
Main.cpp: In function 'int32_t main()':
Main.cpp:81:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
81 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:82:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
82 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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