//* #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") //*/ #include // #include using namespace std; // using namespace atcoder; #define DEBUG(x) cerr<<#x<<": "< #define vl vector #define vii vector< vector > #define vll vector< vector > #define vs vector #define pii pair #define pis pair #define psi pair #define pll pair template pair operator+(const pair &s, const pair &t) { return pair(s.first + t.first, s.second + t.second); } template pair operator-(const pair &s, const pair &t) { return pair(s.first - t.first, s.second - t.second); } template ostream& operator<<(ostream& os, pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } #define X first #define Y second #define rep(i,n) for(int i=0;i<(int)(n);i++) #define rep1(i,n) for(int i=1;i<=(int)(n);i++) #define rrep(i,n) for(int i=(int)(n)-1;i>=0;i--) #define rrep1(i,n) for(int i=(int)(n);i>0;i--) #define REP(i,a,b) for(int i=a;i bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (a>b) { a = b; return 1; } return 0; } #define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end()); const ll inf = 1000000001; const ll INF = (ll)1e18 + 1; const long double pi = 3.1415926535897932384626433832795028841971L; int popcount(ll t) { return __builtin_popcountll(t); } // int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1}; // int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 }; vi dx = {0, 1, 0, -1}, dy = {-1, 0, 1, 0}; // vi dx2 = { 1,1,0,-1,-1,-1,0,1 }, dy2 = { 0,1,1,1,0,-1,-1,-1 }; struct Setup_io { Setup_io() { ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0); cout << fixed << setprecision(25); } } setup_io; const ll MOD = 1000000007; // const ll MOD = 998244353; // #define mp make_pair //#define endl '\n' template class SegmentTree { public: using F = function; int n; vector dat; T e; // �P�ʌ� F query_func; F update_func; SegmentTree(vector a, F query_func, F update_func, T e) :n(a.size()), query_func(query_func), update_func(update_func), e(e) { if (n == 0) { a.push_back(e); n++; } dat.resize(4 * n); init(0, 0, n, a); } void init(int k, int l, int r, vector &a) { if (r - l == 1) { dat[k] = a[l]; } else { int lch = 2 * k + 1, rch = 2 * k + 2; init(lch, l, (l + r) / 2, a); init(rch, (l + r) / 2, r, a); dat[k] = query_func(dat[lch], dat[rch]); } } //k�Ԗڂ̒l��a�ɕύX void update(int k, T a, int v, int l, int r) { if (r - l == 1) { dat[v] = update_func(dat[v], a); } else { if (k < (l + r) / 2) update(k, a, 2 * v + 1, l, (l + r) / 2); else { update(k, a, 2 * v + 2, (l + r) / 2, r); } dat[v] = query_func(dat[v * 2 + 1], dat[v * 2 + 2]); } } //[a,b)�̍ŏ��l�����߂� //���̂ق��̈����͌v�Z�̊ȒP�̂��߂̈��� //k�͐ړ_�̔ԍ�,l,r�͂��̐ړ_��[l,r)�ɑΉ����Ă��邱�Ƃ�\�� //�]���āA�O�����query(a,b,0,0,n)�Ƃ��Ă�� T query(int a, int b, int k, int l, int r) { if (r <= a || b <= l) { return e; } if (a <= l && r <= b) { return dat[k]; } else { T ul = query(a, b, k * 2 + 1, l, (l + r) / 2); T ur = query(a, b, k * 2 + 2, (l + r) / 2, r); return query_func(ul, ur); } } // �����𖞂����ĉE��T�� int find(int a, int b, int k, int l, int r, int x) { // �����𒼂� if (dat[k] < x || r <= a || b <= l) return -1; if (l + 1 == r) { // �����𒼂� if (dat[k] >= x) return l; else return -1; } int rv = find(a, b, 2 * k + 2, (l + r) / 2, r, x); if (rv != -1) return rv; return find(a, b, 2 * k + 1, l, (l + r) / 2, x); } }; int f(int a, int b) {return a + b;} int g(int a, int b) {return a + b;} ll solve1(vi a) { int n = a.size(); int rem; if (a[0] < a[1]) rem = 1; else rem = 0; vector ue; for (int i = rem; i < n; i += 2) { int side = -inf; if (i != 0) chmax(side, a[i - 1]); if (i != n - 1) chmax(side, a[i + 1]); ue.push_back(pii(a[i], side)); } sort(all(ue)); reverse(all(ue)); vi num(n); rep (i, ue.size()) num[ue[i].first]++; SegmentTree seg(num, f, g, 0); ll ans = 0; rep (i, ue.size()) { int x = ue[i].first; seg.update(x, -1, 0, 0, seg.n); int side = ue[i].second; ans += seg.query(side + 1, n, 0, 0, seg.n); } return ans; } ll solve2(vi a) { int n = a.size(); int rem; if (a[0] < a[1]) rem = 1; else rem = 0; vector ue; for (int i = rem; i < n; i += 2) { int side = -inf; if (i != 0) chmax(side, a[i - 1]); if (i != n - 1) chmax(side, a[i + 1]); ue.push_back(pii(side, a[i])); } vector sita; for (int i = 1 - rem; i < n; i += 2) { int side = inf; if (i != 0) chmin(side, a[i - 1]); if (i != n - 1) chmin(side, a[i + 1]); sita.push_back(pii(a[i], side)); } sort(all(ue)); sort(all(sita)); vi num(n); rep (i, sita.size()) num[sita[i].second]++; SegmentTree seg(num, f, g, 0); int si = 0; ll ans = 0; rep (i, ue.size()) { int x = ue[i].first; while (si < sita.size() and sita[si].first <= x) { int val = sita[si].second; seg.update(val, -1, 0, 0, seg.n); si++; } int y = ue[i].second; ans += seg.query(y + 1, n, 0, 0, seg.n); } return ans; } signed main() { int n; cin >> n; vi a(n); rep (i, n) { cin >> a[i]; a[i]--; } ll ans = solve1(a); vi b(n); rep (i, n) b[i] = n - 1 - a[i]; ans += solve1(b); ans += solve2(a); cout << ans << endl; }