#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> // using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint998244353; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } void dfs(vector> &graph, vector &dist, vector &dp, vector &isvisited, ll v) { isvisited[v] = true; ll ret = 1; for (ll x : graph[v]) { if (isvisited[x]) { continue; } dist[x] = dist[v] + 1; dfs(graph, dist, dp, isvisited, x); ret += dp[x]; } dp[v] = ret; } int main() { ll N; cin >> N; vector A(N); for (ll i = 0; i < N; i++) { cin >> A[i]; A[i]--; } // 木の構築 vector graph(N, vector(0)); vector left(N, -1); vector right(N, -1); set st; ll INF = 10000000023; st.insert(-INF); st.insert(INF); for (ll i = 0; i < N; i++) { if (i == 0) { st.insert(A[i]); } else { auto it = st.lower_bound(A[i]); ll right_val = *it; it--; ll left_val = *it; if (left_val == -INF) { left[right_val] = A[i]; graph[right_val].push_back(A[i]); graph[A[i]].push_back(right_val); } else if (right_val == INF) { right[left_val] = A[i]; graph[left_val].push_back(A[i]); graph[A[i]].push_back(left_val); } else { if (right[left_val] == -1) { right[left_val] = A[i]; graph[left_val].push_back(A[i]); graph[A[i]].push_back(left_val); } else { left[right_val] = A[i]; graph[right_val].push_back(A[i]); graph[A[i]].push_back(right_val); } } st.insert(A[i]); } } // A[0] を根として木 dp をしましょう debug(graph); vector dist(N, 0); vector dp(N, 0); vector isvisited(N, false); dfs(graph, dist, dp, isvisited, A[0]); for (ll i = 0; i < N; i++) { cout << dist[A[i]] << (i == N - 1 ? "" : " "); } cout << endl; for (ll i = 0; i < N; i++) { cout << dp[A[i]] - 1 << (i == N - 1 ? "" : " "); } cout << endl; }