#pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #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 typedef long long ll; typedef unsigned long long ul; typedef unsigned int ui; constexpr ll mod = 998244353; //constexpr ll mod = 1000000007; const ll INF = mod * mod; typedef pairP; #define rep(i,n) for(int i=0;i=0;i--) #define Rep(i,sta,n) for(int i=sta;i=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) #define all(v) (v).begin(),(v).end() typedef pair LP; template void chmin(T& a, T b) { a = min(a, b); } template void chmax(T& a, T b) { a = max(a, b); } template void cinarray(vector& v) { rep(i, v.size())cin >> v[i]; } template void coutarray(vector& v) { rep(i, v.size()) { if (i > 0)cout << " "; cout << v[i]; } cout << "\n"; } ll mod_pow(ll x, ll n, ll m = mod) { if (n < 0) { ll res = mod_pow(x, -n, m); return mod_pow(res, m - 2, m); } if (abs(x) >= m)x %= m; if (x < 0)x += m; //if (x == 0)return 0; ll res = 1; while (n) { if (n & 1)res = res * x % m; x = x * x % m; n >>= 1; } return res; } struct modint { int n; modint() :n(0) { ; } modint(ll m) { if (m < 0 || mod <= m) { m %= mod; if (m < 0)m += mod; } n = m; } operator int() { return n; } }; bool operator==(modint a, modint b) { return a.n == b.n; } modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; } modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; } modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; } modint operator+(modint a, modint b) { return a += b; } modint operator-(modint a, modint b) { return a -= b; } modint operator*(modint a, modint b) { return a *= b; } modint operator^(modint a, ll n) { if (n == 0)return modint(1); modint res = (a * a) ^ (n / 2); if (n % 2)res = res * a; return res; } ll inv(ll a, ll p) { return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p); } modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); } modint operator/=(modint& a, modint b) { a = a / b; return a; } const int max_n = 1 << 20; modint fact[max_n], factinv[max_n]; void init_f() { fact[0] = modint(1); for (int i = 0; i < max_n - 1; i++) { fact[i + 1] = fact[i] * modint(i + 1); } factinv[max_n - 1] = modint(1) / fact[max_n - 1]; for (int i = max_n - 2; i >= 0; i--) { factinv[i] = factinv[i + 1] * modint(i + 1); } } modint comb(int a, int b) { if (a < 0 || b < 0 || a < b)return 0; return fact[a] * factinv[b] * factinv[a - b]; } modint combP(int a, int b) { if (a < 0 || b < 0 || a < b)return 0; return fact[a] * factinv[a - b]; } ll gcd(ll a, ll b) { a = abs(a); b = abs(b); if (a < b)swap(a, b); while (b) { ll r = a % b; a = b; b = r; } return a; } typedef long double ld; typedef pair LDP; const ld eps = 1e-8; const ld pi = acosl(-1.0); int dx[4] = { 1,0,-1,0 }; int dy[4] = { 0,1,0,-1 }; template void addv(vector& v, int loc, T val) { if (loc >= v.size())v.resize(loc + 1, 0); v[loc] += val; } /*const int mn = 100005; bool isp[mn]; vector ps; void init() { fill(isp + 2, isp + mn, true); for (int i = 2; i < mn; i++) { if (!isp[i])continue; ps.push_back(i); for (int j = 2 * i; j < mn; j += i) { isp[j] = false; } } }*/ //[,val) template auto prev_itr(set& st, T val) { auto res = st.lower_bound(val); if (res == st.begin())return st.end(); res--; return res; } //[val,) template auto next_itr(set& st, T val) { auto res = st.lower_bound(val); return res; } //----------------------------------------- //2DBIT //[0,x),[0,y)内の最大値を返す struct BIT { private: vector node; int n; public: ll f(ll a, ll b) { return max(a, b); } void init(int n_) { n = n_; node.resize(n, -INF); } //[0,a) ll query(int a) { ll ret = -INF; for (int i = a - 1; i >= 0; i = (i & (i + 1)) - 1)ret = f(ret, node[i]); return ret; } void update(int a, ll b) { for (int i = a; i < n; i |= i + 1)node[i] = f(node[i], b); } }; struct BIT2 { private: vector node; int sz; vector> vy; public: ll f(ll a, ll b) { return max(a, b); } BIT2(int n) { sz = n; node.resize(n); vy.resize(n); } //先読み。 void add(int x, int y) { for (int i = x; i < sz; i |= i + 1) { vy[i].push_back(y); } } //先読みの反映。 void complete() { rep(i, sz) { sort(vy[i].begin(), vy[i].end()); vector cop = vy[i]; vy[i].erase(unique(vy[i].begin(), vy[i].end()), vy[i].end()); int siz = vy[i].size(); node[i].init(siz); } } ll query(int x, int y) { ll ret = -INF; for (int i = x - 1; i >= 0; i = (i & (i + 1)) - 1) { int idy = lower_bound(vy[i].begin(), vy[i].end(), y) - vy[i].begin(); ret = f(ret, node[i].query(idy)); } return ret; } void update(int x, int y, ll k) { for (int i = x; i < sz; i |= i + 1) { int idy = lower_bound(vy[i].begin(), vy[i].end(), y) - vy[i].begin(); node[i].update(idy, k); } } }; void solve() { int n; cin >> n; using ar = array; vector v(n); vector> ori(n); rep(i, n)cin >> ori[i].first >> ori[i].second.first >> ori[i].second.second; sort(all(ori)); rep(i, n) { v[i][0] = ori[i].first; v[i][1] = ori[i].second.first; v[i][2] = ori[i].second.second; } //rep(i, n)rep(j, 3)cin >> v[i][j]; //sort(all(v)); vector vx; rep(i, n) { vx.push_back(v[i][1]); } vx.push_back(0); sort(all(vx)); vx.erase(unique(all(vx)), vx.end()); vector

orile, oriri; rep(i, n) { int x = v[i][1]; x = lower_bound(all(vx), x) - vx.begin(); int y = v[i][0] - v[i][1]; orile.push_back({ x,y }); y = v[i][0] + v[i][1]; oriri.push_back({ x,y }); } int loc0 = lower_bound(all(vx), 0) - vx.begin(); orile.push_back({ loc0,0 }); oriri.push_back({ loc0,0 }); BIT2 btle(vx.size()), btri(vx.size()); for (P p : orile) { btle.add(p.first, p.second); } for (P p : oriri) { btri.add(vx.size() - 1 - p.first, p.second); } btle.complete(); btri.complete(); btle.update(loc0, 0, 0); btri.update(vx.size() - 1 - loc0, 0, 0); ll ans = 0; rep(i, n) { int x = lower_bound(all(vx), v[i][1]) - vx.begin(); ll val = -INF; int y = v[i][0] - v[i][1]; ll valle = btle.query(x+1,y+1); y = v[i][0] + v[i][1]; ll valri = btri.query(vx.size()-1-x, y + 1); val = max(valle, valri) + v[i][2]; chmax(ans, val); y = v[i][0] - v[i][1]; btle.update(x, y, val); y = v[i][0] + v[i][1]; btri.update(vx.size()-1-x, y, val); } cout << ans << "\n"; } signed main() { ios::sync_with_stdio(false); cin.tie(0); //cout << fixed << setprecision(10); //init_f(); //init(); //while(true) //expr(); //int t; cin >> t; rep(i, t) solve(); return 0; }