#include #include #include #include #include #include using std::cin; using std::cout; const char endl = '\n'; const int N = 4e5 + 5; int n, b, c[N], s[N], ans; std::tuple a[N]; std::queue q; bool vis[N]; struct node : std::vector { int l, r; node(const int &_l = 0, const int &_r = 0, const std::vector &_base = std::vector()) : std::vector(_base), l(_l), r(_r) {} } tr[N << 2]; void build(int u, int l, int r) { tr[u] = node(l, r); if (l == r) return; int mid = l + r >> 1; build(u << 1, l, mid); build(u << 1 | 1, mid + 1, r); } void insert(int u, int x) { if (std::get<0>(a[x]) <= tr[u].l && tr[u].r <= std::get<1>(a[x])) { tr[u].emplace_back(x); return; } int mid = (tr[u].l + tr[u].r) >> 1; if (std::get<0>(a[x]) <= mid) insert(u << 1, x); if (std::get<1>(a[x]) > mid) insert(u << 1 | 1, x); } void update(int u, int x) { std::vector res; for (auto p : tr[u]) { if (!std::get<2>(a[p])) continue; if (--std::get<2>(a[p])) res.emplace_back(p); else q.emplace(p); } tr[u] = node(tr[u].l, tr[u].r, res); if (tr[u].l == tr[u].r) return; int mid = (tr[u].l + tr[u].r) >> 1; if (x <= mid) update(u << 1, x); else update(u << 1 | 1, x); } int main() { std::ios::sync_with_stdio(false); cin.tie(nullptr); cin >> n; b = std::ceil(std::sqrt(n)); build(1, 1, n); for (int i = 1, l, r, k; i <= n; i++) { cin >> l >> r >> k; a[i] = {l, r, k}; if (k == 0) { q.emplace(i); vis[i] = true; } } while (!q.empty()) { int x = q.front(); q.pop(); if (ans++ % b == 0) { std::partial_sum(c + 1, c + n + 1, s + 1); for (int i = 1; i <= n; i++) { if (vis[i]) continue; int l, r, k; std::tie(l, r, k) = a[i]; if (s[r] - s[l - 1] + b >= k) { std::get<2>(a[i]) -= s[r] - s[l - 1]; insert(1, i); vis[i] = true; } } } update(1, x); c[x] = true; } cout << ans << endl; return 0; }