#include <bits/stdc++.h>
using namespace std;
#define MOD 1000000007
struct segtree
{
vector<pair<unsigned, uint64_t>> t;
size_t l;
segtree(size_t n)
{
l = 1 << (32 - __builtin_clz(n));
t = vector<pair<unsigned, uint64_t>>(2 * l, {0, 1});
}
pair<unsigned, uint64_t> merge(
pair<unsigned, uint64_t> const &a, pair<unsigned, uint64_t> const &b)
{
if (!a.first && !b.first)
return {0, 1};
if (a.first == b.first)
return make_pair(a.first, (a.second + b.second) % MOD);
return max(a, b);
}
void update(size_t i, pair<unsigned, uint64_t> x)
{
i += l;
if (t[i].first < x.first)
t[i] = x;
else if (t[i].first == x.first)
t[i].second = (t[i].second + x.second) % MOD;
else
return;
while (i > 1)
{
i >>= 1;
t[i] = merge(t[2 * i], t[2 * i + 1]);
}
}
pair<unsigned, uint64_t> range_max(size_t i, size_t j)
{
i += l, j += l;
pair<unsigned, uint64_t> x = {0, 0};
while (i <= j)
{
if (i & 1)
x = merge(x, t[i++]);
if (!(j & 1))
x = merge(t[j--], x);
i >>= 1;
j >>= 1;
}
return x;
}
};
int main()
{
size_t n;
cin >> n;
vector<uint64_t> pow2(n + 1);
pow2[0] = 1;
for (size_t i = 1; i <= n; i++)
pow2[i] = (pow2[i - 1] << 1) % MOD;
vector<unsigned> y(n), z;
for (unsigned &x : y)
{
cin >> x;
z.push_back(x);
}
z.push_back(0);
sort(z.begin(), z.end());
z.resize(unique(z.begin(), z.end()) - z.begin());
unordered_map<unsigned, unsigned> c;
for (size_t i = 0; i < z.size(); i++)
c[z[i]] = i;
segtree t1(z.size() + 1), t2(z.size() + 1);
for (size_t i = n - 1; i < n; i--)
{
pair<unsigned, uint64_t> x = t1.range_max(c[y[i]] + 1, z.size());
t1.update(c[y[i]], {x.first + 1, x.second});
x = t2.range_max(0, c[y[i]] - 1);
t2.update(c[y[i]], {x.first + 1, x.second});
}
pair<unsigned, uint64_t> ans = {0, 0};
for (size_t i = 0; i < n; i++)
{
auto a = t1.range_max(c[y[i]] + 1, z.size());
auto b = t2.range_max(0, c[y[i]] - 1);
size_t r = a.first + b.first + 1;
size_t h = t1.range_max(c[y[i]], c[y[i]]).second;
if (r > ans.first)
ans = {r, (a.second * b.second * t1.range_max(c[y[i]], c[y[i]]).second) % MOD};
else if (r == ans.first)
ans.second = (ans.second + a.second * b.second * t1.range_max(c[y[i]], c[y[i]]).second) % MOD;
}
if (ans.second & 1)
ans.second--;
cout << ans.first << ' ' << (ans.second * pow2[n - ans.first] * 500000004) % MOD << '\n';
}
