#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define all(a) (a).begin(), (a).end() #define rep(i, n) for (ll i = 0; i < (n); i++) //#define rep(i, n) for (int i = 0; i < (n); i++) #define range(i, a, b) for (ll i = (a); i < (b); i++) #define pb push_back #define debug(x) cerr << __LINE__ << ' ' << #x << ':' << (x) << '\n' #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") using namespace std; typedef long long ll; typedef unsigned int uint; typedef unsigned long long ull; typedef long double ld; typedef pair P; typedef pair Q; //typedef complex com; template using pri_s = priority_queue, greater>; template using pri_b = priority_queue; constexpr int inf = 1000000010; constexpr int inf2 = 2000000010; constexpr ll INF = 1000000000000000010; constexpr int mod1e9 = 1000000007; constexpr int mod998 = 998244353; constexpr ld eps = 1e-12; constexpr ld pi = 3.141592653589793238; constexpr ll ten(int n) { return n ? 10 * ten(n - 1) : 1; }; int dx[] = { 1,0,-1,0,1,1,-1,-1 }; int dy[] = { 0,1,0,-1,1,-1,1,-1 }; ll mul(ll a, ll b) { return (a > INF / b ? INF : a * b); } void fail() { cout << "-1\n"; exit(0); } void no() { cout << "No\n"; exit(0); } template void er(T a) { cout << a << '\n'; exit(0); } template inline bool chmax(T &a, const U &b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T &a, const U &b) { if (a > b) { a = b; return true; } return false; } template istream &operator >> (istream &s, vector &v) { for (auto &e : v) s >> e; return s; } template ostream &operator << (ostream &s, const vector &v) { for (auto &e : v) s << e << ' '; return s; } template ostream &operator << (ostream &s, const pair &p) { s << p.first << ' ' << p.second; return s; } struct fastio { fastio() { cin.tie(0); cout.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(20); } }fastio_; vector make(int n) { vector a(n); rep(i, n) a[i] = i; random_device seed_gen; mt19937 engine(seed_gen()); shuffle(all(a), engine); return a; } int solve(vector a) { //debug(a); int res = 0; int n = a.size(); if (n == 2) return 0; vector b(n, -1); chmax(b[1], a[0]); chmax(b[n - 2], a[n - 1]); for (int i = 1; i < n - 1; i++) { if (a[i - 1] < a[i + 1]) chmax(b[i + 1], a[i]); else chmax(b[i - 1], a[i]); } vector> v; vector tmp; rep(i, n) { if (b[i] == -1) { if (tmp.size() != 0) v.pb(tmp); tmp.clear(); } else tmp.pb(b[i]); } if (tmp.size() != 0) v.pb(tmp); for (vector w : v) chmax(res, solve(w) + 1); return res; } int solve2(vector w) { int cnt = 0; int sz = w.size(); int x = 0; for (int i = 2; i < sz; i += 2) { if (w[i - 2] < w[i]) x = i / 2; } int y = 0; for (int i = 3; i < sz; i += 2) { if (w[i - 2] < w[i]) y = i / 2; } //debug(w); int xs = (sz + 1) / 2; int ys = sz / 2; while (xs > 1 || ys > 1) { //debug(xs); debug(ys); debug(x); debug(y); cnt++; int nx = x, ny = y; if (y >= x && x > 0) ny--; if (x > y) nx--; if (y < xs - 1) xs--; if (x != 0 && x != ys) ys--; if (x == 0) { swap(nx, ny); swap(xs, ys); } x = nx, y = ny; } return cnt; } int main() { int n; cin >> n; assert(n != 2); vector a(n); rep(i, n) { cin >> a[i]; a[i]--; } if (n == 2) { cout << 0 << ' ' << 1 << '\n'; return 0; } vector b(n, -1); chmax(b[1], a[0]); chmax(b[n - 2], a[n - 1]); for (int i = 1; i < n - 1; i++) { if (a[i - 1] < a[i + 1]) chmax(b[i + 1], a[i]); else chmax(b[i - 1], a[i]); } vector> v; vector tmp; rep(i, n) { if (b[i] == -1) { if (tmp.size() != 0) v.pb(tmp); tmp.clear(); } else tmp.pb(b[i]); } if (tmp.size() != 0) v.pb(tmp); int ans = 0; for (vector w : v) { chmax(ans, solve2(w)); } cout << ans + 1 << ' ' << v.size() << '\n'; /*int n = 7; rep(_, 1000) { vector v = make(n); bool f = false; rep(i, n - 4) if (v[i] > v[i + 2] && v[i + 2] < v[i + 4]) f = true; if (f) continue; if (solve(v) != solve2(v)) { debug(v); debug(solve(v)); debug(solve2(v)); } }*/ }