#include <bits/stdc++.h>
#define x first
#define y second
#define all(v) v.begin(), v.end()
#define chkmin(a, b) a = min(a, b)
#define chkmax(a, b) a = max(a, b)
using namespace std;
typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int, int> pii;
typedef vector<pii> vii;
typedef vector<bool> vb;
const int MAX_N = 1e5 + 5;
const int MAX_L = 500;
const int infinity = 1e9;
int Gcd(int a, int b) {
return (b ? Gcd(b, a % b) : a);
}
inline int Lcm(int a, int b) {
return a * b / Gcd(a, b);
}
set<int> bad_node[MAX_L];
set<pii> bad_edge[MAX_L];
//queue<pii> q;//[MAX_L];
bitset<MAX_N> visited[MAX_L];
int dist[MAX_N][MAX_L];
int cycle[MAX_N];
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
int n, m;
cin >> n >> m;
vvi graph(n + 1);
for (int i = 0; i < m; i++) {
int a, b;
cin >> a >> b;
graph[a].push_back(b);
graph[b].push_back(a);
}
for (int i = 1; i <= n; i++) cycle[i] = 1;
int k;
cin >> k;
vi len(k);
vvi path(k);
for (int j = 0; j < k; j++) {
cin >> len[j];
path[j].resize(len[j] + 1);
for (int i = 0; i < len[j]; i++) {
cin >> path[j][i];
cycle[path[j][i]] = len[j];
}
path[j][len[j]] = path[j][0];
for (int i = 1; i <= len[j]; i++) {
bad_node[i % len[j]].insert(path[j][i]);
bad_edge[i % len[j]].insert({min(path[j][i], path[j][i - 1]), max(path[j][i], path[j][i - 1])});
}
}
bitset<MAX_N> vis;
for (int i = 1; i <= n; i++) {
if (cycle[i] == 1) {
vis[i] = true;
for (int neighbor : graph[i]) {
if (!vis[neighbor]) cycle[i] = Lcm(cycle[i], cycle[neighbor]);
}
}
for (int j = 0; j < cycle[i]; j++) dist[i][j] = infinity;
}
// priority_queue<pii, vii, greater<pii>> pq;
queue<pii> pq;
pq.push({1, 0});
while (!pq.empty()) {
auto [node, d] = pq.front();
pq.pop();
if (visited[d % cycle[node]][node]) continue;
visited[d % cycle[node]][node] = true;
if (node == n) {
cout << d << '\n';
return 0;
}
if (!bad_node[(d + 1) % cycle[node]].count(node)) {
if (d + 1 < dist[node][(d + 1) % cycle[node]]) {
dist[node][(d + 1) % cycle[node]] = d + 1;
pq.push({node, d + 1});
}
}
for (int neighbor : graph[node]) {
if (!bad_node[(d + 1) % cycle[neighbor]].count(neighbor)) {
if (!bad_edge[(d + 1) % cycle[neighbor]].count({min(node, neighbor), max(node, neighbor)})) {
if (d + 1 < dist[neighbor][(d + 1) % cycle[neighbor]]) {
dist[node][(d + 1) % cycle[neighbor]] = d + 1;
pq.push({neighbor, d + 1});
}
}
}
}
}
cout << "impossible\n";
return 0;
}
//6 6
//1 2
//2 3
//3 4
//4 5
//5 6
//2 4
//1
//3 2 3 4
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
2676 KB |
Output is correct |
2 |
Correct |
164 ms |
203468 KB |
Output is correct |
3 |
Correct |
174 ms |
183720 KB |
Output is correct |
4 |
Correct |
301 ms |
184104 KB |
Output is correct |
5 |
Correct |
2 ms |
1028 KB |
Output is correct |
6 |
Correct |
164 ms |
183720 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
2644 KB |
Output is correct |
2 |
Correct |
183 ms |
203464 KB |
Output is correct |
3 |
Correct |
161 ms |
183376 KB |
Output is correct |
4 |
Correct |
306 ms |
183968 KB |
Output is correct |
5 |
Correct |
2 ms |
980 KB |
Output is correct |
6 |
Correct |
151 ms |
183728 KB |
Output is correct |
7 |
Correct |
162 ms |
182928 KB |
Output is correct |
8 |
Correct |
155 ms |
182764 KB |
Output is correct |
9 |
Correct |
178 ms |
182196 KB |
Output is correct |
10 |
Runtime error |
574 ms |
377064 KB |
Execution killed with signal 11 |
11 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
2644 KB |
Output is correct |
2 |
Correct |
183 ms |
203464 KB |
Output is correct |
3 |
Correct |
161 ms |
183376 KB |
Output is correct |
4 |
Correct |
306 ms |
183968 KB |
Output is correct |
5 |
Correct |
2 ms |
980 KB |
Output is correct |
6 |
Correct |
151 ms |
183728 KB |
Output is correct |
7 |
Correct |
162 ms |
182928 KB |
Output is correct |
8 |
Correct |
155 ms |
182764 KB |
Output is correct |
9 |
Correct |
178 ms |
182196 KB |
Output is correct |
10 |
Runtime error |
574 ms |
377064 KB |
Execution killed with signal 11 |
11 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
2644 KB |
Output is correct |
2 |
Correct |
183 ms |
203464 KB |
Output is correct |
3 |
Correct |
161 ms |
183376 KB |
Output is correct |
4 |
Correct |
306 ms |
183968 KB |
Output is correct |
5 |
Correct |
2 ms |
980 KB |
Output is correct |
6 |
Correct |
151 ms |
183728 KB |
Output is correct |
7 |
Correct |
162 ms |
182928 KB |
Output is correct |
8 |
Correct |
155 ms |
182764 KB |
Output is correct |
9 |
Correct |
178 ms |
182196 KB |
Output is correct |
10 |
Runtime error |
574 ms |
377064 KB |
Execution killed with signal 11 |
11 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
2676 KB |
Output is correct |
2 |
Correct |
164 ms |
203468 KB |
Output is correct |
3 |
Correct |
174 ms |
183720 KB |
Output is correct |
4 |
Correct |
301 ms |
184104 KB |
Output is correct |
5 |
Correct |
2 ms |
1028 KB |
Output is correct |
6 |
Correct |
164 ms |
183720 KB |
Output is correct |
7 |
Correct |
16 ms |
2644 KB |
Output is correct |
8 |
Correct |
183 ms |
203464 KB |
Output is correct |
9 |
Correct |
161 ms |
183376 KB |
Output is correct |
10 |
Correct |
306 ms |
183968 KB |
Output is correct |
11 |
Correct |
2 ms |
980 KB |
Output is correct |
12 |
Correct |
151 ms |
183728 KB |
Output is correct |
13 |
Correct |
162 ms |
182928 KB |
Output is correct |
14 |
Correct |
155 ms |
182764 KB |
Output is correct |
15 |
Correct |
178 ms |
182196 KB |
Output is correct |
16 |
Runtime error |
574 ms |
377064 KB |
Execution killed with signal 11 |
17 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
2676 KB |
Output is correct |
2 |
Correct |
164 ms |
203468 KB |
Output is correct |
3 |
Correct |
174 ms |
183720 KB |
Output is correct |
4 |
Correct |
301 ms |
184104 KB |
Output is correct |
5 |
Correct |
2 ms |
1028 KB |
Output is correct |
6 |
Correct |
164 ms |
183720 KB |
Output is correct |
7 |
Correct |
16 ms |
2644 KB |
Output is correct |
8 |
Correct |
183 ms |
203464 KB |
Output is correct |
9 |
Correct |
161 ms |
183376 KB |
Output is correct |
10 |
Correct |
306 ms |
183968 KB |
Output is correct |
11 |
Correct |
2 ms |
980 KB |
Output is correct |
12 |
Correct |
151 ms |
183728 KB |
Output is correct |
13 |
Correct |
162 ms |
182928 KB |
Output is correct |
14 |
Correct |
155 ms |
182764 KB |
Output is correct |
15 |
Correct |
178 ms |
182196 KB |
Output is correct |
16 |
Runtime error |
574 ms |
377064 KB |
Execution killed with signal 11 |
17 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
2676 KB |
Output is correct |
2 |
Correct |
164 ms |
203468 KB |
Output is correct |
3 |
Correct |
174 ms |
183720 KB |
Output is correct |
4 |
Correct |
301 ms |
184104 KB |
Output is correct |
5 |
Correct |
2 ms |
1028 KB |
Output is correct |
6 |
Correct |
164 ms |
183720 KB |
Output is correct |
7 |
Correct |
16 ms |
2644 KB |
Output is correct |
8 |
Correct |
183 ms |
203464 KB |
Output is correct |
9 |
Correct |
161 ms |
183376 KB |
Output is correct |
10 |
Correct |
306 ms |
183968 KB |
Output is correct |
11 |
Correct |
2 ms |
980 KB |
Output is correct |
12 |
Correct |
151 ms |
183728 KB |
Output is correct |
13 |
Correct |
162 ms |
182928 KB |
Output is correct |
14 |
Correct |
155 ms |
182764 KB |
Output is correct |
15 |
Correct |
178 ms |
182196 KB |
Output is correct |
16 |
Runtime error |
574 ms |
377064 KB |
Execution killed with signal 11 |
17 |
Halted |
0 ms |
0 KB |
- |