#include <bits/stdc++.h>
using namespace std;
set<int> used_cc;
vector<int> used;
vector<int> cc_size;
vector<int> distribute_used;
vector<int> answer_used;
vector<int> cc_leader;
vector<vector<int>> bus_g;
vector<vector<int>> train_g;
int calculate_cc_size(int u, int leader) {
cc_leader[u] = leader;
used[u] = true;
int curr_size = 1;
for(auto v : train_g[u]) {
if(used[v]) {
continue;
}
curr_size += calculate_cc_size(v, leader);
}
return curr_size;
}
int calculate_cheap_routes(int u) {
answer_used[u] = true;
int ans = 0;
for(auto v : train_g[u]) {
if(answer_used[v]) {
continue;
}
ans += calculate_cheap_routes(v);
}
for(auto v : bus_g[u]) {
if(used_cc.count(cc_leader[v])) {
continue;
}
used_cc.insert(cc_leader[v]);
ans += cc_size[cc_leader[v]];
}
return ans;
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n, m;
cin >> n >> m;
bus_g = vector<vector<int>>(n);
train_g = vector<vector<int>>(n);
for(int i = 0; i < m; i++) {
int from, to;
char type;
cin >> from >> to >> type;
from--;
to--;
if(type == 'T') {
train_g[to].push_back(from);
train_g[from].push_back(to);
}
if(type == 'A') {
bus_g[to].push_back(from);
bus_g[from].push_back(to);
}
}
cc_leader = vector<int>(n, -1);
used = vector<int>(n);
cc_size = vector<int>(n);
distribute_used = vector<int>(n);
for(int i = 0; i < n; i++) {
if(!used[i]) {
int curr = calculate_cc_size(i, i);
cc_size[cc_leader[i]] = curr;
}
}
// Calculate the number of reachable cities for every node
int ans = 0;
answer_used = vector<int>(n);
vector<int> cheap_cities(n);
for(int i = 0; i < n; i++) {
if(!answer_used[i]) {
used_cc.clear();
used_cc.insert(cc_leader[i]); // Forgor to insert leader of the component i belongs to
cheap_cities[cc_leader[i]] = cc_size[cc_leader[i]] + calculate_cheap_routes(i);
//assert(cheap_cities[cc_leader[i]] <= n);
}
}
for(int i = 0; i < n; i++) {
assert(cc_leader[i] != -1);
if(cheap_cities[cc_leader[i]] == n) {
ans++;
}
}
cout << ans << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
240 ms |
41040 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
25 ms |
33368 KB |
Output is correct |
5 |
Correct |
1 ms |
1372 KB |
Output is correct |
6 |
Correct |
33 ms |
3860 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
25 ms |
33368 KB |
Output is correct |
2 |
Correct |
1 ms |
1372 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
2 ms |
600 KB |
Output is correct |
6 |
Correct |
170 ms |
9868 KB |
Output is correct |
7 |
Correct |
442 ms |
62144 KB |
Output is correct |
8 |
Correct |
8 ms |
2648 KB |
Output is correct |
9 |
Correct |
12 ms |
2904 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
2 ms |
600 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
2 ms |
600 KB |
Output is correct |
11 |
Correct |
2 ms |
600 KB |
Output is correct |
12 |
Correct |
1 ms |
600 KB |
Output is correct |
13 |
Correct |
0 ms |
344 KB |
Output is correct |
14 |
Correct |
3 ms |
600 KB |
Output is correct |
15 |
Correct |
0 ms |
344 KB |
Output is correct |
16 |
Correct |
1 ms |
344 KB |
Output is correct |
17 |
Correct |
1 ms |
344 KB |
Output is correct |
18 |
Correct |
1 ms |
344 KB |
Output is correct |
19 |
Correct |
1 ms |
600 KB |
Output is correct |
20 |
Correct |
1 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
2 ms |
600 KB |
Output is correct |
6 |
Correct |
2 ms |
600 KB |
Output is correct |
7 |
Correct |
1 ms |
600 KB |
Output is correct |
8 |
Correct |
0 ms |
344 KB |
Output is correct |
9 |
Correct |
3 ms |
600 KB |
Output is correct |
10 |
Correct |
0 ms |
344 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
1 ms |
344 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
1 ms |
600 KB |
Output is correct |
15 |
Correct |
1 ms |
604 KB |
Output is correct |
16 |
Correct |
0 ms |
344 KB |
Output is correct |
17 |
Correct |
1 ms |
344 KB |
Output is correct |
18 |
Correct |
1 ms |
344 KB |
Output is correct |
19 |
Correct |
1 ms |
344 KB |
Output is correct |
20 |
Correct |
2 ms |
600 KB |
Output is correct |
21 |
Correct |
1 ms |
1372 KB |
Output is correct |
22 |
Correct |
8 ms |
2648 KB |
Output is correct |
23 |
Correct |
12 ms |
2904 KB |
Output is correct |
24 |
Correct |
33 ms |
3860 KB |
Output is correct |
25 |
Correct |
6 ms |
1112 KB |
Output is correct |
26 |
Correct |
84 ms |
11144 KB |
Output is correct |
27 |
Correct |
29 ms |
3920 KB |
Output is correct |
28 |
Correct |
60 ms |
5120 KB |
Output is correct |
29 |
Correct |
23 ms |
3152 KB |
Output is correct |
30 |
Correct |
63 ms |
6224 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
2 ms |
600 KB |
Output is correct |
6 |
Correct |
2 ms |
600 KB |
Output is correct |
7 |
Correct |
1 ms |
600 KB |
Output is correct |
8 |
Correct |
0 ms |
344 KB |
Output is correct |
9 |
Correct |
3 ms |
600 KB |
Output is correct |
10 |
Correct |
0 ms |
344 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
1 ms |
344 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
1 ms |
600 KB |
Output is correct |
15 |
Correct |
1 ms |
604 KB |
Output is correct |
16 |
Correct |
6 ms |
1112 KB |
Output is correct |
17 |
Correct |
84 ms |
11144 KB |
Output is correct |
18 |
Correct |
29 ms |
3920 KB |
Output is correct |
19 |
Correct |
60 ms |
5120 KB |
Output is correct |
20 |
Correct |
23 ms |
3152 KB |
Output is correct |
21 |
Correct |
63 ms |
6224 KB |
Output is correct |
22 |
Correct |
240 ms |
41040 KB |
Output is correct |
23 |
Correct |
0 ms |
344 KB |
Output is correct |
24 |
Correct |
1 ms |
344 KB |
Output is correct |
25 |
Correct |
25 ms |
33368 KB |
Output is correct |
26 |
Correct |
1 ms |
344 KB |
Output is correct |
27 |
Correct |
1 ms |
344 KB |
Output is correct |
28 |
Correct |
2 ms |
600 KB |
Output is correct |
29 |
Correct |
1 ms |
1372 KB |
Output is correct |
30 |
Correct |
170 ms |
9868 KB |
Output is correct |
31 |
Correct |
442 ms |
62144 KB |
Output is correct |
32 |
Correct |
8 ms |
2648 KB |
Output is correct |
33 |
Correct |
12 ms |
2904 KB |
Output is correct |
34 |
Correct |
33 ms |
3860 KB |
Output is correct |
35 |
Correct |
28 ms |
4696 KB |
Output is correct |
36 |
Correct |
182 ms |
21184 KB |
Output is correct |
37 |
Correct |
116 ms |
24144 KB |
Output is correct |