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;
using ll = long long;
constexpr int SZ = 1 << 21;
int N, Q, On[808080], R[808080], T[SZ<<1];
vector<int> G[80808];
vector<pair<int,int>> Tour;
vector<int> Idx[808080]; // Idx[t] : t에 켜지는 정점
void Add(int x, int v){
    for(x|=SZ; x; x>>=1) T[x] += 1;
}
int Kth(int k){
    int x = 1;
    while(x < SZ){
        if(k <= T[x<<1]) x = x << 1;
        else k -= T[x<<1], x = x << 1 | 1;
    }
    return x ^ SZ;
}
void GetTime(int v, int b=-1, int t=1){
    On[v] = t;
    int pos = find(G[v].begin(), G[v].end(), b) - G[v].begin();
    for(int i=0; i<pos; i++) GetTime(G[v][i], v, t);
    for(int i=pos+1; i<G[v].size(); i++) GetTime(G[v][i], v, t+1);
    if(b != -1) rotate(G[v].begin(), G[v].begin()+pos, G[v].end());
}
inline void AddEdge(int s, int e){
    Idx[max(On[s], On[e])].push_back(Tour.size());
    Tour.emplace_back(s, e);
}
void GetTour(int v, int b=-1){
    for(auto i : G[v]) if(i != b) AddEdge(v, i), GetTour(i, v), AddEdge(i, v);
}
int main(){
    ios_base::sync_with_stdio(false); cin.tie(nullptr);
    cin >> N >> Q;
    for(int i=1; i<=N; i++){
        int sz; cin >> sz; G[i].resize(sz);
        for(auto &j : G[i]) cin >> j;
        rotate(G[i].begin(), G[i].begin()+1, G[i].end());
    }
    GetTime(1);
    GetTour(1);
    vector<pair<ll,ll>> V(Q);
    for(int i=0; i<Q; i++) cin >> V[i].first, V[i].second = i + 1;
    sort(V.begin(), V.end());
    ll now = 0;
    for(int i=0, j=1; i<V.size(); i++){
        for(; j<=N && now<V[i].first; j++){
            for(auto e : Idx[j]) Add(e, 1);
            now += T[1];
        }
        ll k = V[i].first - (now - T[1]);
        R[V[i].second] = Kth((k - 1) % (2*N-2) + 1);
    }
    for(int i=1; i<=Q; i++) cout << Tour[R[i]].second << "\n";
}
Compilation message (stderr)
Main.cpp: In function 'void GetTime(int, int, int)':
Main.cpp:27:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   27 |     for(int i=pos+1; i<G[v].size(); i++) GetTime(G[v][i], v, t+1);
      |                      ~^~~~~~~~~~~~
Main.cpp: In function 'int main()':
Main.cpp:56:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   56 |     for(int i=0, j=1; i<V.size(); i++){
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