#include #include #include #include #include #include #include #include #include #include #include #include #include #include #define INF 1000000000 using namespace std; typedef long long ll; const int MAXN = 1000100; int A[MAXN]; int N; int m; ll L[MAXN], R[MAXN]; int bitl[MAXN+1], bitr[MAXN+1]; ll sum(int i, int *b) { ll s = 0; while (i > 0) { s += b[i]; i -= i & -i; } return s; } void add(int i, int x, int *b) { while (i <= m) { b[i] += x; i += i & -i; } } int main(void) { cin >> N; vector vals; for (int i = 0; i < N; i++) { scanf("%d", A+i); vals.push_back(A[i]); } sort(vals.begin(), vals.end()); vals.erase(unique(vals.begin(), vals.end()), vals.end()); m = vals.size(); for (int i = 2; i < N; i++) { int index = lower_bound(vals.begin(), vals.end(), A[i]) - vals.begin(); add(index+1, 1, bitr); } { int index = lower_bound(vals.begin(), vals.end(), A[0]) - vals.begin(); add(index+1, 1, bitl); } ll ans = 0; for (int i = 1; i < N-1; i++) { int index = lower_bound(vals.begin(), vals.end(), A[i]) - vals.begin(); int index2 = lower_bound(vals.begin(), vals.end(), A[i+1]) - vals.begin(); // cout << i << endl; // cout << "bitl" << endl; // for (int j = 1; j <= m; j++) { // cout << sum(j, bitl) << " "; // } // cout << endl; // cout << "bitr" << endl; // for (int j = 1; j <= m; j++) { // cout << sum(j, bitr) << " "; // } // cout << endl; // 左と右がどちらも真ん中よりも小さい ans += sum(index, bitl) * sum(index, bitr); // 左と右がどちらも真ん中より大きい ans += (sum(m, bitl) - sum(index+1, bitl)) * (sum(m, bitr) - sum(index+1, bitr)); add(index+1, 1, bitl); add(index2+1, -1, bitr); } ll sum = 0; for (int i = 1; i < N; i++) { int index = lower_bound(vals.begin(), vals.end(), A[i]) - vals.begin(); R[index]++; } { int index = lower_bound(vals.begin(), vals.end(), A[0]) - vals.begin(); L[index]++; sum = L[index] * R[index]; } for (int i = 1; i < N-1; i++) { int index = lower_bound(vals.begin(), vals.end(), A[i]) - vals.begin(); ans -= sum - L[index] * R[index]; ll tmp = L[index] * R[index]; L[index]++; R[index]--; ll diff = tmp - (L[index] * R[index]); sum -= diff; } cout << ans << endl; return 0; }