This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T>using ordered_set = tree<T,null_type,less_equal<T>,rb_tree_tag,tree_order_statistics_node_update>;//find_by_order(ind);
//order_of_key()
#define int long long
#define fast ios_base::sync_with_stdio(0);cin.tie(NULL);cout.tie(NULL);
#define pb push_back
#define yes "YES"
#define no "NO"
#define bigg INT_MAX
#define debug(x) cout<<(#x)<<" = " <<x<<endl;
#define all(x) x.begin(),x.end()
#define sz size()
#define nn '\n'
#define mms(x,y) memset(x,y,sizeof(x))
#define forr(i,j,n) for (int i=j; i<n; i++)
#define forn(i,j,n) for (int i=j; i>n; i--)
#define fi first
#define se second
#define la "LA"
#define cinn(x,y) for(int i=0; i<y; i++) cin>>x[i];
#define pii pair<int,int>
//
//int fact(int x)
//{
// int w=1;
// forr(i,1,x+1) w*=i;
//////}
//bool cmp(pair<int,pii> a, pair<int,pii> b)
//{
// if (get<0>(a)==get<0>(b) && get<1>(a)==get<1>(b)) return get<2>(a)<get<2>(b);
// if (get<0>(a)==get<0>(b)) return get<1>(a)<get<1>(b);
// return get<0>(a)<get<0>(b);
//}
signed main()
{
// #ifndef LOCAL
// freopen("lifeguards.in","r",stdin);
// freopen("lifeguards.out","w", stdout);
// #endif
fast
int n,d;
cin>>n >>d;
// int p[n],a[n],b[n];
vector<pair<int,pii>> t(n+1);
forr(i,0,n)
{
cin>>t[i].fi >>t[i].se.fi >>t[i].se.se;
}
//cout<<la<<la<<la<<la<<d<<endl;
t[n].fi=d;
t[n].se.fi=0;
t[n].se.se=0;
// get<0>(t[n-1])=d;
// get<1>(t[n-1])=0;
// get<2>(t[n-1])=0;
sort(all(t));
// int s=, e=d;
int f=t[0].fi;
ordered_set <int> s;
map<int,int> m;
int idx=0;
int left=f;
forr(i,0,n+1)
{
int x=t[i].fi, a=t[i].se.fi, b=t[i].se.se;
//+a lw <=b at x
// cout<<yes<<x<<' '<<a<<' '<<b<<endl;
//cout<<no<<x<<' '<<idx<<' '<<left<<endl;
if (idx+left<x)
{
//invalid lazm nzawed
int need=x-(idx+left);
f+=need;
// cout<<la<<' '<<need<<endl;
for(auto y:s)
{
if (y<f)
{
// cout<<y<<' '<<f<<endl;
f+=m[y];
m[y]=0;
}
else break;
}
left+=need;
}
if (idx+left>=x)
{
int done=(x-idx);
idx+=done;
left-=done;
if (f<=b)
{
left+=a;
s.insert(b);
m[b]+=a;
}
}
// if (x==d) break;
}
cout<<f;
return 0;
}
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