#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; #define int long long #define ii pair #define app push_back #define all(a) a.begin(), a.end() #define bp __builtin_popcountll #define ll long long #define mp make_pair #define x first #define y second #define Time (double)clock()/CLOCKS_PER_SEC #ifdef LOCAL #define debug(x) std::cerr << #x << ": " << x << '\n'; #else #define debug(x) #endif #define FORI(i,a,b) for (int i = (a); i < (b); ++i) #define FOR(i,a) FORI(i,0,a) #define ROFI(i,a,b) for (int i = (b)-1; i >= (a); --i) #define ROF(i,a) ROFI(i,0,a) #define rep(a) FOR(_,a) #define each(a,x) for (auto& a: x) #define FORN(i, n) FORI(i, 1, n + 1) using vi = vector; template std::istream& operator >>(std::istream& input, std::pair & data) { input >> data.x >> data.y; return input; } template std::istream& operator >>(std::istream& input, std::vector& data) { for (T& x : data) input >> x; return input; } template std::ostream& operator <<(std::ostream& output, const pair & data) { output << "(" << data.x << "," << data.y << ")"; return output; } template std::ostream& operator <<(std::ostream& output, const std::vector& data) { for (const T& x : data) output << x << " "; return output; } std::ostream& operator <<(std::ostream& output, const __int128 &x) { __int128 n = x; if (n == 0) { output << "0"; return output; } if (n < 0) { n = -n; output << "-"; } string s; while (n) { s += '0' + (n%10); n /= 10; } reverse(all(s)); cout << s; return output; } ll div_up(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up ll div_down(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down ll math_mod(ll a, ll b) { return a - b * div_down(a, b); } #define tcT template using V = vector; tcT> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; } // set a = min(a,b) tcT> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; } ll gcd(ll a, ll b) { while (b) { tie(a, b) = mp(b, a % b); } return a; } int Bit(int mask, int bit) { return (mask >> bit) & 1; } const int N = 2e5+7; int n, t[N], x[N], v[N]; struct Fen { int f[N]; void clear() { for (int i = 0; i < N; ++i) f[i] = -1e18; } void add(int i, int x) { for (; i < N; i |= i + 1) ckmax(f[i], x); } int get(int i) { int ans = 0; for (; i >= 0; i &= i + 1, --i) ckmax(ans, f[i]); return ans; } } f; signed main() { #ifdef LOCAL #else #define endl '\n' ios_base::sync_with_stdio(0); cin.tie(0); #endif vi c; cin >> n; FOR (i, n) { cin >> t[i] >> x[i] >> v[i]; c.app(t[i] - x[i]); } vi ord(n); FOR (i, n) ord[i] = i; auto comp = [&] (int i, int j) { return mp(t[i] + x[i], t[i] - x[i]) < mp(t[j] + x[j], t[j] - x[j]); }; sort(all(ord), comp); sort(all(c)); f.clear(); each (i, ord) { int p = lower_bound(all(c), t[i] - x[i]) - c.begin(); if (abs(x[i]) <= t[i]) { f.add(p, max(v[i], f.get(p) + v[i])); } } cout << f.get(N - 1) << endl; }