#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int DY[]{1, 0, -1, 0}, DX[]{0, -1, 0, 1}; constexpr int DY8[]{1, 1, 0, -1, -1, -1, 0, 1}, DX8[]{0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T& a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T& a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; template struct SegmentTree { using Monoid = typename T::Monoid; SegmentTree(int n) : SegmentTree(std::vector(n, T::id())) {} SegmentTree(const std::vector &a) : n(a.size()) { while (p2 < n) p2 <<= 1; dat.assign(p2 << 1, T::id()); for (int i = 0; i < n; ++i) dat[i + p2] = a[i]; for (int i = p2 - 1; i > 0; --i) dat[i] = T::merge(dat[i << 1], dat[(i << 1) + 1]); } void set(int idx, Monoid val) { idx += p2; dat[idx] = val; while (idx >>= 1) dat[idx] = T::merge(dat[idx << 1], dat[(idx << 1) + 1]); } Monoid get(int left, int right) const { Monoid l_res = T::id(), r_res = T::id(); for (left += p2, right += p2; left < right; left >>= 1, right >>= 1) { if (left & 1) l_res = T::merge(l_res, dat[left++]); if (right & 1) r_res = T::merge(dat[--right], r_res); } return T::merge(l_res, r_res); } Monoid operator[](const int idx) const { return dat[idx + p2]; } template int find_right(int left, G g) { if (left >= n) return n; Monoid val = T::id(); left += p2; do { while (!(left & 1)) left >>= 1; Monoid nx = T::merge(val, dat[left]); if (!g(nx)) { while (left < p2) { left <<= 1; nx = T::merge(val, dat[left]); if (g(nx)) { val = nx; ++left; } } return left - p2; } val = nx; ++left; } while (__builtin_popcount(left) > 1); return n; } template int find_left(int right, G g) { if (right <= 0) return -1; Monoid val = T::id(); right += p2; do { --right; while (right > 1 && (right & 1)) right >>= 1; Monoid nx = T::merge(dat[right], val); if (!g(nx)) { while (right < p2) { right = (right << 1) + 1; nx = T::merge(dat[right], val); if (g(nx)) { val = nx; --right; } } return right - p2; } val = nx; } while (__builtin_popcount(right) > 1); return -1; } private: int n, p2 = 1; std::vector dat; }; namespace monoid { template struct RangeMinimumQuery { using Monoid = T; static constexpr Monoid id() { return std::numeric_limits::max(); } static Monoid merge(const Monoid &a, const Monoid &b) { return std::min(a, b); } }; template struct RangeMaximumQuery { using Monoid = T; static constexpr Monoid id() { return std::numeric_limits::lowest(); } static Monoid merge(const Monoid &a, const Monoid &b) { return std::max(a, b); } }; template struct RangeSumQuery { using Monoid = T; static constexpr Monoid id() { return 0; } static Monoid merge(const Monoid &a, const Monoid &b) { return a + b; } }; } // monoid int main() { int n; cin >> n; vector a(n + 1, 0), b(n + 1, 0), v(n + 1, 0); REP(i, n) { int t, x; cin >> t >> x >> v[i]; a[i] = t + x; b[i] = t - x; } vector ys = b; sort(ALL(ys)); ys.erase(unique(ALL(ys)), ys.end()); REP(i, n + 1) b[i] = lower_bound(ALL(ys), b[i]) - ys.begin(); vector ord(n + 1); iota(ALL(ord), 0); sort(ALL(ord), [&](int l, int r) -> bool { return a[l] != a[r] ? a[l] < a[r] : b[l] < b[r]; }); SegmentTree> seg(ys.size()); for (int i : ord) { if (i == n) { seg.set(b[i], 0); } else { seg.set(b[i], seg.get(0, b[i] + 1) + v[i]); } } cout << seg.get(0, ys.size()) << '\n'; }