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#include<bits/stdc++.h>
using namespace std;
 
ostream& operator<<(ostream &out, string str) {
	for(char c : str) out << c;
	return out;
}
 
template<class L, class R> ostream& operator<<(ostream &out, pair<L, R> p) {
	return out << "(" << p.first << ", " << p.second << ")";
}
 
template<class T> auto operator<<(ostream &out, T a) -> decltype(a.begin(), out) {
	out << "{";
	for(auto it = a.begin(); it != a.end(); it = next(it))
		out << (it != a.begin() ? ", " : "") << *it;
	return out << "}";
}
 
void dump() { cerr << "\n"; }
template<class T, class... Ts> void dump(T a, Ts... x) {
	cerr << a << ", ";
	dump(x...);
}
 
#ifdef DEBUG
#  define debug(...) cerr << "[" #__VA_ARGS__ "]: ", dump(__VA_ARGS__)
#else
#  define debug(...) false
#endif
 
#define REP(i, n) for(int i = 0; i < n; i++)
#define FOR(i, a, b) for(int i = a; i <= b; i++)
#define ST first
#define ND second
 
template<class T> int size(T && a) { return a.size(); }
 
using LL = long long;
using PII = pair<int, int>;

struct Newton {
	vector<vector<LL>> dp;
	Newton(int n) {
		dp.resize(n + 1, vector<LL>(n + 1));
		REP(i, n + 1) {
			dp[i][0] = 1;
			FOR(j, 1, i)
				dp[i][j] = dp[i - 1][j - 1] + dp[i - 1][j];
		}
	}
	LL get(int n, int k) {
		return dp[n][k];
	}
};

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);

	int n; cin >> n;
	vector<int> a(n);
	REP(i, n) cin >> a[i];

	int t;
	vector<int> s;

	REP(q, 2) {
		vector<PII> dp(n);
		REP(i, n) dp[i] = {1, -1};
		PII p = {0, -1};
		REP(i, n)  {
			FOR(j, i + 1, n - 1)
				if((a[i] > a[j]) ^ q)
					dp[j] = max(dp[j], {dp[i].ST + 1, i});
			p = max(p, {dp[i].ST, i});
		}

		debug(dp);

		vector<int> v;
		while(p.ND != -1) {
			debug(p.ND);
			v.emplace_back(p.ND);
			p.ND = dp[p.ND].ND;
		}

		if(size(v) > size(s))
			s = v, t = q;
	}

	debug(s, t);

	int k = size(s);
	vector<bool> spec(n);
	for(int x : s) 
		spec[x] = true;

	vector<int> r;
	REP(i, n) if(!spec[i]) 
		r.emplace_back(i);

	int m = size(r);
	Newton newton(k);
	debug(newton.dp);
	vector<int> mn(n + 1, 1e9);
	vector<LL> cnt(n + 1, 0);

	REP(mask, 1 << m) {
		int edges = 0;
		vector<int> deg(k);
		REP(i, m) if(mask & (1 << i)) {
			FOR(j, i + 1, m - 1) if(mask & (1 << j))
				edges += (a[r[i]] > a[r[j]]);
			REP(j, k) deg[j] += (a[r[i]] > a[s[j]]) ^ (r[i] > s[j]);
		}

		int c = __builtin_popcount(mask);
		vector<int> b(m + 1), w(m + 1);
		debug(deg);
		REP(j, k) b[deg[j]]++;
		int pos = 0;

		if(mn[c] > edges) {
			mn[c] = edges;
			cnt[c] = 0;
		}
		if(mn[c] == edges)
			cnt[c]++;

		REP(j, k) {
			while(b[pos] == w[pos]) pos++;
			edges += pos + (t == 0 ? j : 0);
			w[pos]++, c++;
			debug(pos, c, b[pos], w[pos], edges, t, j, newton.get(b[pos], w[pos]));

			if(mn[c] > edges) {
				mn[c] = edges;
				cnt[c] = 0;
			}
			if(mn[c] == edges)
				cnt[c] += newton.get(b[pos], w[pos]);
		}
	}

	FOR(i, 1, n) cout << mn[i] << " " << cnt[i] << "\n";
}