#ifdef ONLINE_JUDGE #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #endif #include #include using namespace std; using namespace atcoder; typedef long long ll; typedef unsigned long long ull; typedef long double ld; #define rep(i, n) for (ll i = 0; i < (ll)(n); i++) #define rrep(i,start,end) for (ll i = start;i >= (ll)(end);i--) #define repn(i,end) for(ll i = 0; i <= (ll)(end); i++) #define reps(i,start,end) for(ll i = start; i < (ll)(end); i++) #define repsn(i,start,end) for(ll i = start; i <= (ll)(end); i++) #define each(p,a) for(auto &p:a) typedef vector vll; typedef vector> vpll; typedef vector>> vvpll; typedef vector> vvll; typedef vector>> vvvll; typedef set sll; typedef map mpll; typedef pair pll; typedef tuple tpl3; typedef tuple tpl4; typedef tuple tpl5; typedef tuple tpl6; #define LL(...) ll __VA_ARGS__; input(__VA_ARGS__) #define LD(...) ld __VA_ARGS__; input(__VA_ARGS__) #define Str(...) string __VA_ARGS__; input(__VA_ARGS__) #define Ch(...) char __VA_ARGS__; input(__VA_ARGS__) #define all(a) (a).begin(),(a).end() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define sz(x) (ll)x.size() // << std::fixed << std::setprecision(10) const ll INF = 1LL << 60; const ld EPS = 1e-9; ll lceil(ll a,ll b){if(a%b==0){return a/b;}if(a>=0){return (a/b)+1;}else{return -((-a)/b);}} ll lfloor(ll a,ll b){if(a%b==0){return a/b;}if(a>=0){return (a/b);}else{return -((-a)/b)-1;}} inline ll positive_mod(ll a,ll m){return (a % m + m)%m;} inline ll popcnt(ull a){ return __builtin_popcountll(a);} //0indexed inline ll topbit(ll a){assert(a != 0);return 63 - __builtin_clzll(a);} inline ll smlbit(ll a){assert(a != 0);return __builtin_ctzll(a);} template bool chmin(T& a, T b){if(a > b){a = b;return true;}return false;} template bool chmax(T& a, T b){if(a < b){a = b;return true;}return false;} template std::istream &operator>>(std::istream&is,std::vector&v){for(T &in:v){is>>in;}return is;} template std::ostream &operator<<(std::ostream&os,const std::vector&v){for(auto it=std::begin(v);it!=std::end(v);){os<<*it<<((++it)!=std::end(v)?" ":"");}return os;} templatestd::ostream &operator<< (std::ostream &os, std::pair p){os << "{" << p.first << "," << p.second << "}";return os;} templatevoid input(T&... a){(cin >> ... >> a);} void print(){cout << endl;} templatevoid print(const T& a, const Ts&... b){cout << a;((cout << ' ' << b), ...);cout << endl;} template void pspace(const T& a){ cout << a << ' ';} void perr(){cerr << endl;} templatevoid perr(const T& a, const Ts&... b){cerr << a;((cerr << ' ' << b), ...);cerr << endl;} void yes(bool i = true){ return print(i?"yes":"no"); } void Yes(bool i = true){ return print(i?"Yes":"No"); } void YES(bool i = true){ return print(i?"YES":"NO"); } template vector &operator++(vector &v) {for(auto &e : v) e++;return v;} template vector operator++(vector &v, signed) {auto res = v;for(auto &e : v) e++;return res;} template vector &operator--(vector &v) {for(auto &e : v) e--;return v;} template vector operator--(vector &v, signed) {auto res = v;for(auto &e : v) e--;return res;} //grid探索用 vector _ta = {0,0,1,-1,1,1,-1,-1}; vector _yo = {1,-1,0,0,1,-1,1,-1}; bool isin(ll now_i,ll now_j,ll h,ll w){return (0<=now_i && now_i < h && 0 <= now_j && now_j < w);} ll lpow(ll x,ll n){ll ans = 1;while(n >0){if(n & 1)ans *= x;x *= x;n >>= 1;}return ans;} ll Modlpow(ll x,ll n,ll m){ll ans = 1;ll a = x%m;while(n >0){if(n & 1){ans *= a;ans%= m;}a *= a;a %= m;n >>= 1;}return ans;} const ll MOD9 = 998244353LL; const ll MOD10 = 1000000007LL; using mint = modint998244353; //双対セグ木 //verify https://onlinejudge.u-aizu.ac.jp/solutions/problem/DSL_2_D/review/8951597/T21140031/C++17 template struct DualSegmentTree{ using FM = function; ll siz ; FM fm; const M em;//Mの単位元 vector lazy; ll height; DualSegmentTree(ll n,FM _fm,M _em):fm(_fm),em(_em) { ll i = 0; while((1 << i) < n){ i++; } lazy.resize(1 << (i+1),_em); siz = 1 << i; height = i; } void all_apply(ll p,M m){ lazy[p] = fm(lazy[p],m); } void push(ll p){ if(lazy[p] == em)return ; all_apply(2 * p,lazy[p]); all_apply(2 * p+1,lazy[p]); lazy[p] = em; } M get(ll p){ p+= siz; for(ll i = height;i >= 1;i--){ push(p >> i); } return lazy[p]; } M query(ll pos){ return get(pos); } void update(ll l,ll r, M m){ if(l == r)return ; l+= siz; r+= siz; for(ll i = height;i>= 1;i--){ if(((l>> i) << i) != l)push(l >> i); if(((r>> i) << i) != r)push((r-1) >>i); } ll tmpl = l,tmpr = r; while(l < r){ if(l & 1) all_apply(l++,m); if(r & 1) all_apply(--r,m); l>>= 1; r>>= 1; } l = tmpl; r = tmpr; } M operator[](ll pos){ return get(pos); } }; int main(){ ios::sync_with_stdio(false);cin.tie(nullptr); LL(n,t); ll lim = 2*lpow(10,5)+10; DualSegmentTree seg(lim,[](ll u,ll v){return max(u,v);},0); rep(i,n){ LL(l,r,p); seg.update(l,r+1,p); } vector dp(lim+1,-INF); dp[0] = 0; rep(i,lim){ chmax(dp[i+1],dp[i]); if(seg.get(i) > 0){ chmax(dp[min(i+t,lim)],dp[i]+seg.get(i)); } } cout << dp[lim] << endl; }