// #define LOCAL #define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; template ostream& operator <<(ostream& out, const pair& a) { out << "(" << a.first << "," << a.second << ")"; return out; } template ostream& operator <<(ostream& out, const array& a) { out << "["; bool first = true; for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "]"; return out; } template ostream& operator <<(ostream& out, const vector& a) { out << "["; bool first = true; for (auto v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "]"; return out; } template ostream& operator <<(ostream& out, const set& a) { out << "{"; bool first = true; for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "}"; return out; } template ostream& operator <<(ostream& out, const map& a) { out << "{"; bool first = true; for (auto& p : a) { out << (first ? "" : ", "); out << p.first << ":" << p.second; first = 0;} out << "}"; return out; } #ifdef LOCAL #define trace(...) __f(#__VA_ARGS__, __VA_ARGS__) #else #define trace(...) 42 #endif template void __f(const char* name, Arg1&& arg1){ cerr << name << ": " << arg1 << endl; } template void __f(const char* names, Arg1&& arg1, Args&&... args){ const char* comma = strchr(names + 1, ','); cerr.write(names, comma - names) << ": " << arg1 << " |"; __f(comma + 1, args...); } template auto vect(const T& v, int n) { return vector(n, v); } template auto vect(const T& v, int n, D... m) { return vector(n, vect(v, m...)); } typedef long long int64; typedef pair ii; #define SZ(x) (int)((x).size()) template static constexpr T inf = numeric_limits::max() / 2; const int MOD = 1e9 + 7; // const int MOD = 998244353; mt19937 mrand(random_device{}()); int rnd(int x) { return mrand() % x; } // mt19937_64 mrand(random_device{}()); // int64 rnd(int64 x) { return mrand() % x; } template void out(const vector& a) { for (int i = 0; i < SZ(a); ++i) cout << a[i] << " \n"[i + 1 == SZ(a)]; } template bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; } template bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; } template void dedup(vector& v) { sort(v.begin(), v.end()); v.erase(unique(v.begin(), v.end()), v.end()); } void add(int& x, int y) { x += y; if (x >= MOD) x -= MOD; } struct fast_ios { fast_ios() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); }; } fast_ios_; int main() { int n; cin >> n; vector a(n); for (auto& x : a) cin >> x; const int N = 2e5 + 10; vector lg2(N); for (int k = 2; k < N; ++k) lg2[k] = lg2[k / 2] + 1; const int K = 20; auto mn = vect({0, 0}, n, K); for (int i = 0; i < n; ++i) mn[i][0] = {a[i], inf}; auto merge = [&](const ii& L, const ii& R) { vector a = {L.first, L.second, R.first, R.second}; sort(a.begin(), a.end()); return ii{a[0], a[1]}; }; for (int k = 1; k < K; ++k) { for (int i = 0; i + (1 << k) <= n; ++i) { auto L = mn[i][k - 1]; int j = i + (1 << (k - 1)); auto R = mn[j][k - 1]; mn[i][k] = merge(L, R); } } auto mx = vect(0, n, K); for (int i = 0; i < n; ++i) mx[i][0] = a[i]; for (int k = 1; k < K; ++k) { for (int i = 0; i + (1 << k) <= n; ++i) { int j = i + (1 << (k - 1)); mx[i][k] = max(mx[i][k - 1], mx[j][k - 1]); } } auto get_max = [&](int x, int y) { int k = lg2[y - x + 1]; return max(mx[x][k], mx[y - (1 << k) + 1][k]); }; auto get_min = [&](int x, int y) { ii best = {inf, inf}; while (x <= y) { int k = lg2[y - x + 1]; best = merge(best, mn[x][k]); x += 1 << k; } return best; }; int64 ret = 0; for (int i = 0; i < n - 1; ++i) { int low = i + 1, high = n - 1; while (low != high) { int mid = (low + high + 1) / 2; auto p = get_min(i, mid); auto q = get_max(i, mid); if (i == 2 && mid == 4) trace(p, q); if (p.first + p.second < q) { high = mid - 1; } else { low = mid; } } trace(i, high); ret += high - i; } cout << ret << '\n'; return 0; }