/* Problem URL: https://cses.fi/problemset/task/1160 */ #include #include #include using namespace std; using namespace __gnu_pbds; template > using ordered_set = tree; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (int i = 0; i < (lim); i++) #define nrep(i, s, lim) for (int i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, q; cin >> n >> q; vi parent(n); rep(i, n) { int a; cin >> a; parent[i] = a - 1; } V loop(n); vi group(n); vi cyclepos(n); V vis(n); V frame(n); vi groupsize; vi cyclechoice(n); int g = 0; auto func = [&](int i) { set used; while (!vis[i] && !frame[i]) { vis[i] = true; frame[i] = true; used.insert(i); i = parent[i]; } if (frame[i]) { loop[i] = true; group[i] = g; cyclechoice[i] = i; int now = 1; int j = parent[i]; while (j != i) { cyclepos[j] = now; now++; loop[j] = true; group[j] = g; cyclechoice[j] = j; j = parent[j]; } g++; groupsize.push_back(now); } for (auto j : used) { frame[j] = false; } }; rep(i, n) { if (vis[i]) { continue; } func(i); } fill(all(vis), false); vi pos(n); function dfs = [&](int i) { vis[i] = true; if (!vis[parent[i]] && !loop[parent[i]]) { dfs(parent[i]); } pos[i] = pos[parent[i]] + 1; cyclechoice[i] = cyclechoice[parent[i]]; }; rep(i, n) { if (!loop[i] && !vis[i]) { dfs(i); } } vvi lift(17, vi(n)); vi valids; rep(i, n) { if (!loop[i]) { valids.push_back(i); lift[0][i] = parent[i]; } } nrep(i, 1, 17) { repv(j, valids) { lift[i][j] = lift[i - 1][lift[i - 1][j]]; } } while (q--) { int a, b; cin >> a >> b; a--, b--; if (loop[a] && loop[b]) { if (group[a] != group[b]) { cout << "-1\n"; continue; } int g = group[a]; cout << ((cyclepos[b] - cyclepos[a]) % groupsize[g] + groupsize[g]) % groupsize[g] << '\n'; continue; } if (loop[a] && !loop[b]) { cout << "-1\n"; continue; } if (!loop[a] && loop[b]) { int choice = cyclechoice[a]; if (group[choice] != group[b]) { cout << "-1\n"; continue; } int g = group[choice]; cout << pos[a] + ((cyclepos[b] - cyclepos[choice]) % groupsize[g] + groupsize[g]) % groupsize[g] << '\n'; continue; } int diff = pos[a] - pos[b]; if (diff < 0) { cout << "-1\n"; continue; } rep(i, 17) { if ((diff >> i) & 1) { a = lift[i][a]; } } if (a != b) { cout << "-1\n"; continue; } cout << diff << '\n'; } }