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>
#define ll long long
#define state tuple<ll, int, int, int>
#define F first
#define S second
using namespace std;
int N, M, K, L, l[2500005], r[2500005], nxt[2500005];
vector<int> v[2000];
vector<ll> dis[2500005];
vector<bitset<1501>> vis[2500005];
vector<int> E[2500005];
bool good(int u, ll t)
{
return r[u] == 0 || v[r[u]][t % l[r[u]]] != u;
}
bool goodmove(int u, int v, ll t)
{
if (u == nxt[v])
return good(u, t) && good(v, t);
else
return good(v, t);
}
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0), cout.tie(0);
cin >> N >> M;
for (int i = 1; i <= M; i++)
{
int u, v;
cin >> u >> v;
E[u].emplace_back(v);
E[v].emplace_back(u);
}
l[0] = 1;
cin >> K;
for (int i = 1; i <= K; i++)
{
cin >> l[i];
L = max(L, l[i]);
v[i].resize(l[i]);
for (int j = 0; j < l[i]; j++)
{
cin >> v[i][j];
r[v[i][j]] = i;
vis[v[i][j]].resize(l[i]);
}
for (int j = 0; j < l[i]; j++)
nxt[v[i][j]] = v[i][(j + 1) % l[i]];
}
for (int i = 1; i <= N; i++)
dis[i].resize(l[r[i]], (ll)1e18);
dis[1][0] = 0;
priority_queue<state, vector<state>, greater<state>> pq;
pq.push(state{0, 1, 0, 0});
while (!pq.empty())
{
auto [d, u, k, b] = pq.top();
pq.pop();
if (!b && d > dis[u][k])
continue;
if (!b)
{
for (auto v : E[u])
if (r[v] == 0 && d + 1 < dis[v][0])
{
dis[v][0] = d + 1;
pq.push(state{d + 1, v, 0, 0});
}
else if (r[v])
{
if (!goodmove(u, v, d + 1) && l[r[u]] % l[r[v]] == 0)
continue;
pq.push(state{d, u, k, v});
}
int rem = (d + 1) % l[r[u]];
if (good(u, d + 1) && dis[u][rem] > d + 1)
{
dis[u][rem] = d + 1;
pq.push(state{d + 1, u, rem, 0});
}
}
else
{
// u -> b
int rem = (d + 1) % l[r[b]];
if (vis[b][rem][l[r[u]]])
continue;
if (goodmove(u, b, d + 1))
{
vis[b][rem][l[r[u]]] = 1;
if (dis[b][rem] > d + 1)
{
dis[b][rem] = d + 1;
pq.push(state{d + 1, b, rem, 0});
}
}
pq.push(state{d + l[r[u]], u, k, b});
}
}
// for (int i = 1; i <= N; i++)
// {
// cout << i << ":";
// for (auto j : dis[i])
// cout << ' ' << j;
// cout << '\n';
// }
if (dis[N][0] >= 1e18)
cout << "impossible\n";
else
cout << dis[N][0] << '\n';
}
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