/** * @FileName a.cpp * @Author kanpurin * @Created 2020.10.21 04:36:30 **/ #include "bits/stdc++.h" using namespace std; typedef long long ll; template< typename T > struct BinaryIndexedTree { std::vector< T > data; BinaryIndexedTree() {} BinaryIndexedTree(int sz) { data.assign(++sz, 0); } inline T sum(int k) const { T ret = 0; for (k; k > 0; k -= k & -k) ret += data[k]; return (ret); } inline T sum(int left, int right) const { return sum(right) - sum(left); } inline void add(int k, T x) { for (++k; k < data.size(); k += k & -k) data[k] += x; } int lower_bound(ll k) const { if (k <= 0) return 0; int res = 0; int N = 1; while (N < (int)data.size()) N *= 2; for (int i = N / 2; i > 0; i /= 2) { if (res + i < (int)data.size() && data[res + i] < k) { k -= data[res + i]; res += i; } } return res; } friend std::ostream& operator<<(std::ostream &os, const BinaryIndexedTree &bit) { os << "[ "; for (int i = 0; i < bit.data.size() - 1; i++) { os << bit.sum(i, i + 1); if (i < bit.data.size() - 2) os << ", "; } os << " ]"; return os; } }; int main() { int n;cin >> n; vector a(n); map mp; for (int i = 0; i < n; i++) { cin >> a[i]; mp[a[i]] = 0; } int idx = 0; for(auto p : mp) { mp[p.first] = idx++; } for (int i = 0; i < n; i++) { a[i] = mp[a[i]]; } BinaryIndexedTree seg1(n); vector> b(n); for (int i = 0; i < n; i++) { b[i].first = a[i]; b[i].second = i; } sort(b.begin(), b.end()); vector tmp; ll ans = 0; for (int i = 0; i < n; i++) { ans += (ll)seg1.sum(b[i].second) * seg1.sum(b[i].second,n); if (i == n-1 || b[i].first != b[i+1].first) { for (int t : tmp) { seg1.add(t,1); } seg1.add(b[i].second,1); tmp.clear(); } else { tmp.push_back(b[i].second); } } BinaryIndexedTree seg2(n); sort(b.rbegin(), b.rend()); for (int i = 0; i < n; i++) { ans += (ll)seg2.sum(b[i].second) * seg2.sum(b[i].second,n); if (i == n-1 || b[i].first != b[i+1].first) { for (int t : tmp) { seg2.add(t,1); } seg2.add(b[i].second,1); tmp.clear(); } else { tmp.push_back(b[i].second); } } vector sum(idx); for (int i = 0; i < n; i++) { sum[a[i]]++; } vector c(idx); BinaryIndexedTree seg3(idx); for (int i = 0; i < n; i++) { ans -= seg3.sum(a[i]) + seg3.sum(a[i]+1,idx); seg3.add(a[i],sum[a[i]] - 2 * c[a[i]] - 1); c[a[i]]++; } cout << ans << endl; return 0; }