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>
using namespace std;
#ifndef _LOCAL
//#pragma GCC optimize("O3,Ofast")
#else
#pragma GCC optimize("O0")
#endif
template<typename t> inline void umin(t &a, const t b) {a = min(a, b);}
template<typename t> inline void umax(t &a, const t b) {a = max(a, b);}
typedef pair<int, int> pii;
typedef long long ll;
typedef long double ld;
typedef int8_t byte;
ll time() {return chrono::system_clock().now().time_since_epoch().count();}
mt19937 rnd(time());
#define ft first
#define sd second
#define len(f) int((f).size())
#define bnd(f) (f).begin(), (f).end()
#define _ <<' '<<
const int inf = 1e9 + 5;
const ll inf64 = 4e18 + 5;
const int md = 998244353;
namespace MD {
void add(int &a, const int b) {if((a += b) >= md) a -= md;}
void sub(int &a, const int b) {if((a -= b) < 0) a += md;}
int prod(const int a, const int b) {return ll(a) * b % md;}
};
const int N = 1e5 + 5;
int n, a, b, da[N], db[N], d[N];
bool f[N];
vector<pii> g[N];
struct edge {
int u, v, c;
edge() {
string f;
cin >> u >> v >> f;
--u, --v;
c = 0;
if(f[0] != 'c') c |= 1;
if(f[0] != 'p') c |= 2;
g[u].push_back({v, c});
g[v].push_back({u, c});
}
};
vector<edge> es;
void dijkstra(int *d, int s, int ms) {
memset(d, 127, n << 2);
d[s] = 0;
queue<int> q;
q.push(s);
while(!q.empty()) {
int v = q.front();
q.pop();
for(auto &i : g[v]) {
if(!(i.sd & ms)) continue;
int u = i.ft;
if(d[u] <= d[v] + 1) continue;
d[u] = d[v] + 1;
q.push(u);
}
}
}
void solve() {
#define ra return void(cout << "Paula\n")
#define rb return void(cout << "Marin\n")
#define rab return void(cout << "Magenta\n")
cin >> n >> a >> b;
--a, --b;
for(int i = 0; i < n; ++i)
g[i].clear();
es.clear();
for(int i = 1; i < n; ++i)
es.emplace_back();
dijkstra(da, a, 1);
dijkstra(db, b, 2);
dijkstra(d, a, 3);
bool was = false;
for(auto &i : g[a])
if((i.sd & 1) && i.ft != b) was = true;
if(!was) rb;
was = false;
for(auto &i : g[b])
if(i.sd & 2) was = true;
if(!was) ra;
if(d[b] & 1) {
for(int i = 0; i < n; ++i)
f[i] = da[i] < db[i];
for(auto &e : es)
if(f[e.v] && f[e.u] && (e.c & 1) &&
db[e.v] > inf &&
db[e.u] > inf)
rab;
rb;
} else {
for(int i = 0; i < n; ++i)
f[i] = db[i] < da[i];
for(auto &e : es)
if(f[e.v] && f[e.u] && (e.c & 2) &&
da[e.v] > inf &&
da[e.u] > inf)
rab;
ra;
}
}
signed main() {
ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#ifndef _LOCAL
// freopen("file.in", "r", stdin);
// freopen("file.out", "w", stdout);
#else
system("color a");
freopen("in.txt", "r", stdin);
int t; cin >> t;
while(t--)
#endif
solve();
}
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