#include #define rep(i,a,b) for(int i=a;i=b;i--) #define fore(i,a) for(auto &i:a) #define all(x) (x).begin(),(x).end() //#pragma GCC optimize ("-O3") using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); } typedef long long ll; const int inf = INT_MAX / 2; const ll infl = 1LL << 60; templatebool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; } templatebool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; } //--------------------------------------------------------------------------------------------------- int mo = 1000000007; #define def 0 using V = int; V comp(V& l, V& r) { return (l + r) % mo; }; struct SegTree { //[l,r) int NV; vector val; void init(int n) { NV = 1; while (NV < n) NV *= 2; val = vector(NV * 2, def); } V get(int x, int y, int l, int r, int k) { if (r <= x || y <= l) return def; if (x <= l&&r <= y)return val[k]; auto a = get(x, y, l, (l + r) / 2, k * 2); auto b = get(x, y, (l + r) / 2, r, k * 2 + 1); return comp(a, b); } V get(int x, int y) { return get(x, y, 0, NV, 1); } void update(int i, V v) { i += NV; val[i] = v; while (i>1)i >>= 1, val[i] = comp(val[i * 2], val[i * 2 + 1]); } void add(int i, V v) { update(i, val[i + NV] + v); } V operator[](int x) { assert(0 <= x and x < NV); return val[x + NV]; } }; struct Healthy2DSegTreeVer2 { int NV; vector st; vector> index; void init(vector> &v) { int n = v.size(); NV = 1; while (NV < n) NV *= 2; index.resize(2 * NV); rep(i, 0, n) fore(j, v[i]) index[i + NV].push_back(j); rrep(i, NV * 2 - 1, 1) { sort(index[i].begin(), index[i].end()); index[i].erase(unique(index[i].begin(), index[i].end()), index[i].end()); fore(j, index[i]) index[i / 2].push_back(j); } st.resize(2 * NV); rep(i, 1, NV * 2) st[i].init(index[i].size()); } void restupdate(int x, int y) { if (x == 0) return; assert(1 <= x); while (x) { int yy = lower_bound(index[x].begin(), index[x].end(), y) - index[x].begin(); assert(yy != index[x].size()); assert(y == index[x][yy]); int x1 = x * 2; int yy1 = -1; int y1 = lower_bound(index[x1].begin(), index[x1].end(), y) - index[x1].begin(); if (y1 == index[x1].size()) y1 = 0; else yy1 = index[x1][y1]; int x2 = x * 2 + 1; int yy2 = -1; int y2 = lower_bound(index[x2].begin(), index[x2].end(), y) - index[x2].begin(); if (y2 == index[x2].size()) y2 = 0; else yy2 = index[x2][y2]; if (yy1 == y and yy2 == y) { V a = st[x1][y1]; V b = st[x2][y2]; st[x].update(yy, comp(a, b)); } else if (yy1 == y) { V a = st[x1][y1]; st[x].update(yy, a); } else if (yy2 == y) { V a = st[x2][y2]; st[x].update(yy, a); } else assert(0); x /= 2; } } void update(int x, int y, V v) { assert(x < NV); x += NV; int yy = lower_bound(index[x].begin(), index[x].end(), y) - index[x].begin(); assert(yy != index[x].size()); assert(y == index[x][yy]); st[x].update(yy, v); restupdate(x / 2, y); } void add(int x, int y, V v) { assert(x < NV); x += NV; int yy = lower_bound(index[x].begin(), index[x].end(), y) - index[x].begin(); assert(yy != index[x].size()); assert(y == index[x][yy]); st[x].add(yy, v); restupdate(x / 2, y); } V get(int sx, int tx, int sy, int ty, int k, int l, int r) { assert(k < NV * 2); assert(l < r); if (r <= sx or tx <= l) return def; if (sx <= l and r <= tx) { int syy = lower_bound(index[k].begin(), index[k].end(), sy) - index[k].begin(); int tyy = lower_bound(index[k].begin(), index[k].end(), ty) - index[k].begin(); return st[k].get(syy, tyy); } int md = (l + r) / 2; V le = get(sx, tx, sy, ty, k * 2, l, md); V ri = get(sx, tx, sy, ty, k * 2 + 1, md, r); return comp(le, ri); } V get(int sx, int tx, int sy, int ty) { return get(sx, tx, sy, ty, 1, 0, NV); } }; vector compress1(int* v, int n) { vector dic; rep(i, 0, n) dic.push_back(v[i]); sort(all(dic)); dic.erase(unique(all(dic)), dic.end()); rep(i, 0, n) v[i] = lower_bound(all(dic), v[i]) - dic.begin(); return dic; } #define def 0 template struct SegTreeNormal { //[l,r) V comp(V& l, V& r) { return max(l, r); }; vector val; SegTreeNormal() { val = vector(NV * 2, def); } V get(int x, int y, int l = 0, int r = NV, int k = 1) { if (r <= x || y <= l)return def; if (x <= l && r <= y)return val[k]; auto a = get(x, y, l, (l + r) / 2, k * 2); auto b = get(x, y, (l + r) / 2, r, k * 2 + 1); return comp(a, b); } void update(int i, V v) { i += NV; val[i] = v; while (i > 1) i >>= 1, val[i] = comp(val[i * 2], val[i * 2 + 1]); } void add(int i, V v) { update(i, val[i + NV] + v); } V operator[](int x) { return get(x, x + 1); } }; /*---------------------------------------------------------------------------------------------------             ∧_∧       ∧_∧  (´<_` )  Welcome to My Coding Space!      ( ´_ゝ`) /  ⌒i @hamayanhamayan0     /   \    | |     /   / ̄ ̄ ̄ ̄/  |   __(__ニつ/  _/ .| .|____      \/____/ (u ⊃ ---------------------------------------------------------------------------------------------------*/ int N, A[201010]; SegTreeNormal st; int B[201010]; //--------------------------------------------------------------------------------------------------- void _main() { cin >> N; rep(i, 0, N) cin >> A[i]; compress1(A, N); rep(i, 0, N) { B[i] = st.get(0, A[i]) + 1; st.update(A[i], max(st[A[i]], B[i] + 1)); } vector> dic(N); rep(i, 0, N) dic[i].push_back(B[i]); Healthy2DSegTreeVer2 st2; st2.init(dic); rep(i, 0, N) { if (B[i] == 1) st2.add(i, B[i], 1); else st2.add(i, B[i], st2.get(0, B[i] - 1, i, B[i])); } int ma = st.get(0, N); int ans = st2.get(0, N, ma, ma + 1); cout << ans << endl; }