#include #include #include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; template vector> vec2d(int n, int m, T v){ return vector>(n, vector(m, v)); } template vector>> vec3d(int n, int m, int k, T v){ return vector>>(n, vector>(m, vector(k, v))); } template void print_vector(vector v, char delimiter=' '){ if(v.empty()) { cout << endl; return; } for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter; cout << v.back() << endl; } template class Compress{ public: vector data; int offset; Compress(vector data_, int offset=0): offset(offset){ set st; for(T x: data_) st.insert(x); for(T x: st) data.push_back(x); }; int operator[](T x) { auto p = lower_bound(data.begin(), data.end(), x); assert(x == *p); return offset+(p-data.begin()); } T inv(int x){ return data[x-offset]; } int size(){ return data.size(); } }; using T = tuple; const ll inf = 1e18; ll e(){ return -inf; } ll op(ll x, ll y){ return max(x, y); } using Seg = atcoder::segtree; int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; int n; cin >> n; vector vt(n); vector vv = {-inf, 0, inf}; for(int i = 0; i < n; i++){ ll t, x, v; cin >> t >> x >> v; vt[i] = T(x+t, -(x-t), v); vv.push_back(x-t); } sort(vt.begin(), vt.end()); auto cp = Compress(vv); int m = cp.size(); Seg dp(m); dp.set(cp[0], 0); for(auto [X, _Y, v]: vt){ if(X < 0) continue; ll Y = -_Y; int l = cp[Y]; ll mx = dp.prod(l, m); dp.set(l, mx+v); } cout << dp.all_prod() << endl; }