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<iostream>
#include<cstring>
#define endl '\n'
using namespace std;
long long n,x[100005],g[100005],e[100005],tree[400005],pr[100005],a[100005],lazy[400005],ans=0; // n<=100000
void build(long long node,long long l,long long r)
{
if(l==r)
{
tree[node]=a[l];
return;
}
long long mid=(l+r)/2;
build(2*node,l,mid);
build(2*node+1,mid+1,r);
tree[node]=max(tree[2*node],tree[2*node+1]);
}
long long query(long long node,long long l,long long r)
{
if(tree[node]<0) return -1;
if(l==r)
{
return l;
}
if(lazy[node]!=0)
{
tree[node]+=lazy[node];
if(l!=r)
{
lazy[2*node]+=lazy[node];
lazy[2*node+1]+=lazy[node];
}
lazy[node]=0;
}
long long mid=(l+r)/2;
long long a2=query(2*node+1,mid+1,r);
if(a2>-1) return a2;
return query(2*node,l,mid);
}
void update(long long node,long long l,long long r,long long le,long long ri,long long st)
{
if(l>=le && r<=ri)
{
lazy[node]+=st;
}
if(lazy[node]!=0)
{
tree[node]+=lazy[node];
if(l!=r)
{
lazy[2*node]+=lazy[node];
lazy[2*node+1]+=lazy[node];
}
lazy[node]=0;
}
if(l>ri || r<le) return;
if(l>=le && r<=ri) return;
long long mid=(l+r)/2;
update(2*node,l,mid,le,ri,st);
update(2*node+1,mid+1,r,le,ri,st);
tree[node]=max(tree[2*node],tree[2*node+1]);
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin>>n;
for(long long i=1;i<=n;i++)
{
cin>>x[i]>>g[i]>>e[i];
ans=max(ans,g[i]);
g[i]+=g[i-1];
pr[i]=pr[i-1]+e[i];
a[i]=pr[i]-x[i]+x[1];
}
memset(tree,-1,sizeof(tree));
build(1,1,n);
long long p;
for(long long i=1;i<=n;i++)
{
p=query(1,1,n);
if(p==-1) continue;
ans=max(ans,g[p]-g[i-1]);
if(i!=n)
update(1,1,n,i+1,n,x[i+1]-x[i]-e[i]);
}
cout<<ans<<endl;
}
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