#include using namespace std; // 0-indexed template struct SegmentTree { // a,b,c: T, e:T(unit) // abc = (ab)c = a(bc) // ae = ea = a typedef function F; int n; F f; T unit; vector dat; SegmentTree(){}; SegmentTree(int newn, F f, T t) : f(f), unit(t) { init(newn); } SegmentTree(const vector &v, F f, T t) : f(f), unit(t) { int _n = v.size(); init(v.size()); for (int i = 0; i < _n; ++i) dat[n + i] = v[i]; for (int i = n - 1; i; --i) dat[i] = f(dat[i << 1], dat[(i << 1) | 1]); } void init(int newn) { n = 1; while (n < newn) n <<= 1; dat.assign(n << 1, unit); } // "go up" process void update(int k, T newdata) { dat[k += n] = newdata; while (k >>= 1) dat[k] = f(dat[k << 1], dat[(k << 1) | 1]); } // [a,b) T query(int a, int b) { T vl = unit, vr = unit; for (int l = a + n, r = b + n; l < r; l >>= 1, r >>= 1) { if (l & 1) vl = f(vl, dat[l++]); if (r & 1) vr = f(dat[--r], vr); } return f(vl, vr); } // require: func(unit) == false // min left: st <= res && func(seg.query(st,res + 1)) template int find_left(int st, C &func, T &acc, int k, int l, int r) { if (l + 1 == r) { acc = f(acc, dat[k]); return func(acc) ? l : -1; } int mid = (l + r) >> 1; if (mid <= st) return find_left(st, func, acc, (k << 1) | 1, mid, r); if (st <= l && !func(f(acc, dat[k]))) { acc = f(acc, dat[k]); return -1; } int nres = find_left(st, func, acc, (k << 1), l, mid); if (~nres) return nres; return find_left(st, func, acc, (k << 1) | 1, mid, r); } template int find_left(int st, C &func) { T acc = unit; return find_left(st, func, acc, 1, 0, n); } // max right: res <= st && func(seg.query(res - 1,st)) template int find_right(int st, C &func, T &acc, int k, int l, int r) { if (l + 1 == r) { acc = f(dat[k], acc); return func(acc) ? r : -1; } int mid = (l + r) >> 1; if (st <= mid) return find_right(st, func, acc, k << 1, l, mid); if (r <= st && !func(f(dat[k], acc))) { acc = f(dat[k], acc); return -1; } int nres = find_right(st, func, acc, (k << 1) | 1, mid, r); if (~nres) return nres; return find_right(st, func, acc, k << 1, l, mid); } template int find_right(int st, C &func) { T acc = unit; return find_right(st, func, acc, 1, 0, n); } }; int n; vector a; SegmentTree segmax, segcnt; long long solve(); int calcneighbor(int id, bool isleft); int calclen(int lid, int rid, int lim, bool isleft); int main() { cin >> n; a.resize(n); for (auto &p : a) cin >> p; cout << solve() << endl; return 0; } long long solve() { long long res = 0; vector id(n); iota(id.begin(), id.end(), 0); sort(id.begin(), id.end(), [](int l, int r) { return a[l] < a[r]; }); { auto segmaxf = [](int l, int r) { return max(l, r); }; segmax = SegmentTree(a, segmaxf, 0); auto segcntf = [](int l, int r) { return l + r; }; segcnt = SegmentTree(n, segcntf, 0); } for (auto nid : id) { int lid = calcneighbor(nid, 1), rid = calcneighbor(nid, 0); if (lid >= 0) { // use left min int llid = calcneighbor(lid, 1), lim = a[nid] + a[lid]; res += 1LL * max(calclen(llid, nid, lim, 1) - (nid - lid), 0) * calclen(nid, rid, lim, 0); } if (rid < n) { // use right min int rrid = calcneighbor(rid, 0), lim = a[nid] + a[rid]; res += 1LL * calclen(lid, nid, lim, 1) * max(calclen(nid, rrid, lim, 0) - (rid - nid), 0); } segcnt.update(nid, 1); } return res; } int calcneighbor(int id, bool isleft) { if (isleft) { if (segcnt.query(0, id)) { // search left id int l = 0, r = id; while (r - l > 1) { int mid = (l + r) >> 1; if (segcnt.query(mid, id)) l = mid; else r = mid; } assert(segcnt.query(l, l + 1)); return l; } else return -1; } if (segcnt.query(++id, n)) { // search right id int l = id, r = n; while (r - l > 1) { int mid = (l + r) >> 1; if (segcnt.query(id, mid)) r = mid; else l = mid; } assert(segcnt.query(l, l + 1)); return l; } return n; } int calclen(int lid, int rid, int lim, bool isleft) { if (isleft) { ++lid, ++rid; if (segmax.query(lid, rid) <= lim) return rid - lid; int l = lid, r = rid; while (r - l > 1) { int mid = (l + r) >> 1; if (segmax.query(mid, rid) <= lim) r = mid; else l = mid; } return rid - r; } if (segmax.query(lid, rid) <= lim) return rid - lid; int l = lid, r = rid; while (r - l > 1) { int mid = (l + r) >> 1; if (segmax.query(lid, mid) <= lim) l = mid; else r = mid; } return l - lid; }