// includes #include // macros #define ll long long int #define pb emplace_back #define mk make_pair #define pq priority_queue #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define rep(i, n) FOR(i, 0, n) #define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--) #define irep(itr, st) for(auto itr = (st).begin(); itr != (st).end(); ++itr) #define vrep(v, i) for(int i = 0; i < (v).size(); i++) #define all(x) (x).begin(),(x).end() #define sz(x) ((int)(x).size()) #define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end()) #define FI first #define SE second #define dump(a, n) for(int i = 0; i < n; i++)cout << a[i] << "\n "[i + 1 != n]; #define dump2(a, n, m) for(int i = 0; i < n; i++)for(int j = 0; j < m; j++)cout << a[i][j] << "\n "[j + 1 != m]; using namespace std; // types typedef pair P; typedef pair Pl; typedef pair Pll; typedef pair Pd; typedef complex cd; // constants const int inf = 1e9; const ll linf = 1LL << 50; const double EPS = 1e-10; const int mod = 1e9 + 7; // solve template bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;} template bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;} template istream &operator>>(istream &is, vector &vec){for(auto &v: vec)is >> v; return is;} template ostream &operator<<(ostream &os, const vector& vec){for(int i = 0; i < vec.size(); i++){ os << vec[i]; if(i + 1 != vec.size())os << " ";} return os;} template ostream &operator<<(ostream &os, const set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const pair &p){os << p.first << " " << p.second; return os;} template ostream &operator<<(ostream &os, const map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} template ostream &operator<<(ostream &os, const unordered_map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} template struct BIT_{ int n; vector bit; BIT_(int n_){ n = n_; bit = vector(n+1, 0); } void add(int a, T w){ for(int x = a; x < n; x |= (x + 1)){ bit[x] += w; } } T sum(int a){ T res = 0; for(int x = a; x >= 0; x = (x & (x + 1)) - 1){ res += bit[x]; } return res; } }; typedef struct BIT_ BITI; typedef struct BIT_ BITL; int li[1000001]; int ri[1000001]; int ld[1000001]; int rd[1000001]; int main(int argc, char const* argv[]) { ios_base::sync_with_stdio(false); cin.tie(0); int n; cin >> n; vector a(n); cin >> a; if(n < 3){ cout << 0 << endl; return 0; } BITI bt(n); map> mp; rep(i, n)mp[a[i]].pb(i); irep(itr, mp){ vector v = itr->second; for(auto e: v){ ld[e] = bt.sum(e); rd[e] = bt.sum(n - 1) - bt.sum(e); } for(auto e: v)bt.add(e, 1); } bt = BITI(n); for(auto itr = mp.rbegin(); itr != mp.rend(); ++itr){ //rep(i, n)cout << bt.sum(i) - (i>0?bt.sum(i-1):0) << "\n "[i+1!=n]; vector v = itr->second; for(auto e: v){ //cerr << e << " " << bt.sum(e) << " " << bt.sum(n - 1) << endl; li[e] = bt.sum(e); ri[e] = bt.sum(n - 1) - bt.sum(e); } for(auto e: v)bt.add(e, 1); } //rep(i, n)cout << i << " " << ri[i] << endl; ll res = (ll)n * (ll)(n - 1) * (ll)(n - 2) / 6; rep(i, n){ res -= (ll)li[i] * (ll)rd[i]; res -= (ll)ri[i] * (ll)ld[i]; } irep(itr, mp){ vector v = itr->second; if(sz(v) >= 3){ res -= (ll)sz(v) * (ll)(sz(v) - 1) * (ll)(sz(v) - 2) / 6; } if(sz(v) >= 2){ res -= (ll)(sz(v)) * (ll)(sz(v) - 1) * (ll)(n - sz(v)) / 2; } } cout << res << endl; return 0; }