/* Problem URL: https://cses.fi/problemset/task/1751 */ #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; cin >> n; vi next(n); repv(i, next) { cin >> i; i--; } V vis(n); V frame(n); V cycle(n); vi cyclesize(n); auto getcycle = [&](int i) { set rem; frame[i] = true; vis[i] = true; rem.insert(i); int j = next[i]; while (!vis[j] && !frame[j]) { vis[j] = true; frame[j] = true; rem.insert(j); j = next[j]; } if (!frame[j]) { repv(i, rem) { frame[i] = false; } return; } int now = 1; i = j; j = next[j]; cycle[i] = true; while (j != i) { cycle[j] = true; now++; j = next[j]; } cyclesize[i] = now; j = next[j]; while (j != i) { cyclesize[j] = now; j = next[j]; } repv(i, rem) { frame[i] = false; } }; rep(i, n) { getcycle(i); } vi memo(n, -1); rep(i, n) { if (cycle[i]) { memo[i] = cyclesize[i]; } } function dfs = [&](int i) { int &ans = memo[i]; if (ans != -1) { return ans; } ans = dfs(next[i]) + 1; return ans; }; rep(i, n) { cout << dfs(i) << ' '; } cout << '\n'; }