/**
* author: wxhtzdy
* created: 02.07.2022 21:03:17
**/
#include <bits/stdc++.h>
using namespace std;
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n;
cin >> n;
int a, b;
cin >> a >> b;
--a; --b;
vector<vector<pair<int, int>>> g(n);
for (int i = 0; i < n - 1; i++) {
int u, v;
cin >> u >> v;
string foo;
cin >> foo;
--u; --v;
int t;
if (foo == "plava") {
t = 1;
} else if (foo == "magenta") {
t = 2;
} else {
t = 3;
}
g[u].emplace_back(v, t);
g[v].emplace_back(u, t);
}
vector<int> dep(n);
vector<int> par(n);
function<void(int, int)> Dfs = [&](int v, int pr) {
par[v] = pr;
dep[v] = dep[pr] + 1;
for (auto& e : g[v]) {
int u = e.first;
if (u == pr) {
continue;
}
Dfs(u, v);
}
};
Dfs(0, 0);
int x = a, y = b, dis = 0;
while (x != y) {
if (dep[x] > dep[y]) {
x = par[x];
} else {
y = par[y];
}
dis += 1;
}
vector<vector<int>> dist(2, vector<int>(n, -1));
{
dist[0][a] = 0;
vector<int> que(1, a);
for (int x = 0; x < (int) que.size(); x++) {
int i = que[x];
for (auto& e : g[i]) {
int u = e.first;
int w = e.second;
if (w <= 2 && dist[0][u] == -1) {
dist[0][u] = dist[0][i] + 1;
que.push_back(u);
}
}
}
}
{
dist[1][b] = 0;
vector<int> que(1, b);
for (int x = 0; x < (int) que.size(); x++) {
int i = que[x];
for (auto& e : g[i]) {
int u = e.first;
int w = e.second;
if (w >= 2 && dist[1][u] == -1) {
dist[1][u] = dist[1][i] + 1;
que.push_back(u);
}
}
}
}
bool have = false;
for (auto& e : g[a]) {
if (e.first != b && e.second <= 2) {
have = true;
}
}
if (!have) {
cout << "Marin" << '\n';
return 0;
}
if (dis % 2 == 0) {
if (dist[0][b] == -1 && (int) g[b].size() > 1) {
cout << "Magenta" << '\n';
return 0;
}
bool ok = false;
function<void(int, int)> Dfs = [&](int v, int pr) {
for (auto& e : g[v]) {
int u = e.first;
int w = e.second;
if (u == pr || w == 1 || (dist[0][u] != -1 && dist[0][u] <= dist[1][u])) {
continue;
}
if (w == 3 && (int) g[u].size() > 1) {
ok = true;
}
Dfs(u, v);
}
};
Dfs(b, b);
cout << (ok ? "Magenta" : "Paula") << '\n';
} else {
have = false;
for (auto& e : g[b]) {
if (e.second >= 2) {
have = true;
}
}
if (!have) {
cout << "Paula" << '\n';
return 0;
}
if (dist[1][a] == -1 && (int) g[a].size() > 1) {
assert(false);
cout << "Magenta" << '\n';
return 0;
}
bool ok = false;
function<void(int, int)> Dfs = [&](int v, int pr) {
for (auto& e : g[v]) {
int u = e.first;
int w = e.second;
if (u == pr || w == 3 || (dist[1][u] != -1 && dist[1][u] < dist[0][u])) {
continue;
}
if (w == 1 && (int) g[u].size() > 1) {
ok = true;
}
Dfs(u, v);
}
};
Dfs(a, a);
cout << (ok ? "Magenta" : "Marin") << '\n';
}
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
1 ms |
212 KB |
Output is correct |
| 5 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
75 ms |
8792 KB |
Output is correct |
| 2 |
Correct |
60 ms |
8792 KB |
Output is correct |
| 3 |
Correct |
57 ms |
8868 KB |
Output is correct |
| 4 |
Correct |
53 ms |
8840 KB |
Output is correct |
| 5 |
Correct |
60 ms |
8800 KB |
Output is correct |
| 6 |
Correct |
1 ms |
212 KB |
Output is correct |
| 7 |
Correct |
0 ms |
212 KB |
Output is correct |
| 8 |
Correct |
0 ms |
212 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
1 ms |
212 KB |
Output is correct |
| 5 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
