#include #include #include #include #include #include #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; using lint = long long; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template void ndarray(vector& vec, const V& val, int len) { vec.assign(len, val); } template void ndarray(vector& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); } template bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; } template bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; } int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); } template pair operator+(const pair &l, const pair &r) { return make_pair(l.first + r.first, l.second + r.second); } template pair operator-(const pair &l, const pair &r) { return make_pair(l.first - r.first, l.second - r.second); } template vector sort_unique(vector vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; } template int arglb(const std::vector &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); } template int argub(const std::vector &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); } template istream &operator>>(istream &is, vector &vec) { for (auto &v : vec) is >> v; return is; } template ostream &operator<<(ostream &os, const vector &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; } template ostream &operator<<(ostream &os, const array &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; } #if __cplusplus >= 201703L template istream &operator>>(istream &is, tuple &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; } template ostream &operator<<(ostream &os, const tuple &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; } #endif template ostream &operator<<(ostream &os, const deque &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; } template ostream &operator<<(ostream &os, const set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const unordered_set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const unordered_multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const pair &pa) { os << '(' << pa.first << ',' << pa.second << ')'; return os; } template ostream &operator<<(ostream &os, const map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const unordered_map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } #ifdef HITONANODE_LOCAL const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m"; #define dbg(x) cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << endl #define dbgif(cond, x) ((cond) ? cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << endl : cerr) #else #define dbg(x) (x) #define dbgif(cond, x) 0 #endif // Range Minimum Query // - RangeMinimumQuery(int N = 0) : Initialize array x = [defaultT, ..., defaultT] of // length N, O(N) // - RangeMinimumQuery(const std::vector &vals) : Initialize array x by [vals[0], // ..., vals[-1]], O(N) // - update(int pos, T val) : x[pos] <- val, O(log N) // - get(int begin, int end) : Get min(x_begin, ..., x_(end - 1)), O(log N) template ::max() / 2> struct RangeMinimumQuery { int N; int head; std::vector x; T _get(int begin, int end, int pos, int l, int r) const { if (r <= begin or l >= end) return defaultT; if (l >= begin and r <= end) return x[pos]; return std::min(_get(begin, end, 2 * pos + 1, l, (l + r) / 2), _get(begin, end, 2 * pos + 2, (l + r) / 2, r)); } RangeMinimumQuery(int N = 0) : N(N) { int N_tmp = 1; while (N_tmp < N) N_tmp <<= 1; x.assign(N_tmp * 2, defaultT), head = N_tmp - 1; } void _build(const std::vector &vals) { std::copy(vals.begin(), vals.end(), x.begin() + head); for (int i = head - 1; i >= 0; i--) x[i] = std::min(x[i * 2 + 1], x[i * 2 + 2]); } RangeMinimumQuery(const std::vector &vals) : N(vals.size()) { int N_tmp = 1; while (N_tmp < N) N_tmp <<= 1; x.assign(N_tmp * 2, defaultT), head = N_tmp - 1; _build(vals); } void update(int pos, T val) { pos += head, x[pos] = val; while (pos) pos = (pos - 1) / 2, x[pos] = std::min(x[pos * 2 + 1], x[pos * 2 + 2]); } T get(int begin, int end) const { return _get(begin, end, 0, 0, (int)x.size() / 2); } friend std::ostream &operator<<(std::ostream &os, const RangeMinimumQuery &s) { os << '['; for (int i = 0; i < s.N; i++) os << s.get(i, i + 1) << ','; return os << ']'; } }; int main() { int N; cin >> N; vector> uvws; while (N--) { int t, x, w; cin >> t >> x >> w; if (t < abs(x)) continue; int u = t + x, v = t - x; uvws.emplace_back(u, v, w); } sort(uvws.begin(), uvws.end()); dbg(uvws); if (uvws.empty()) { puts("0"); return 0; } vector vs; for (auto [u, v, w] : uvws) { vs.push_back(v); } vs = sort_unique(vs); for (auto &[u, v, w] : uvws) v = arglb(vs, v); RangeMinimumQuery rmq(vs.size()); rmq.update(0, 0); for (auto [u, v, w] : uvws) { lint val = -rmq.get(0, v + 1); chmax(val, 0LL); val += w; if (-rmq.get(v, v + 1) < val) { rmq.update(v, -val); } } cout << -rmq.get(0, vs.size()) << '\n'; }