#include<bits/stdc++.h>
using namespace std;
#define int long long
#define F first
#define S second
#define all(x) x.begin(),x.end()
#define pii pair<int,int>
#define pb push_back
#define sz(x) (int)(x.size())
#define chmin(x,y) x=min(x,y)
#define chmax(x,y) x=max(x,y)
#define vi vector<int>
#define vp vector<pii>
#define vvi vector<vi>
#define ykh mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count())
#define __lg(x) 63-__builtin_clzll(x)
#define pow2(x) (1LL<<x)
void __print(int x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifdef local
void setio(){freopen("/Users/iantsai/Library/Mobile Documents/com~apple~CloudDocs/cpp/Empty.md","r",stdin);}
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
void setio(){}
#define debug(x...)
#endif
void setIO(string s) {
freopen((s + ".in").c_str(), "r", stdin);
freopen((s + ".out").c_str(), "w", stdout);
}
struct line{
int a,b;
int operator()(const int x)const{
return a*x+b;
}
};
bool check(line l1,line l2,line l3){
return (l3.b-l2.b)*(l1.a-l2.a)<=(l2.b-l1.b)*(l2.a-l3.a);
}
struct node{
int x,g,d;
bool operator < (const node b)const{
return x<b.x;
}
};
const int mxn=2e5+5;
vector<node>v;
int pre[mxn];
int preg[mxn];
vector<int>temp;
int n;
struct segtree{
int seg[4*mxn];
int getid(int x){
return lower_bound(all(temp),x)-temp.begin()+1;
}
void build(int l=1,int r=2*n,int id=1){
seg[id]=-8e18;
if(l==r){
return ;
}
int mm=l+r>>1;
build(l,mm,id*2);
build(mm+1,r,id*2+1);
}
void modify(int l,int r,int id,int p,int v){
if(l==r){
seg[id]=max(seg[id],v);
return ;
}
int mm=l+r>>1;
if(p<=mm){
modify(l,mm,id*2,p,v);
}
else{
modify(mm+1,r,id*2+1,p,v);
}
seg[id]=max(seg[id*2],seg[id*2+1]);
}
void modify(int p,int v){
modify(1,2*n,1,p,v);
}
int query(int l,int r,int id,int ql,int qr){
if(qr<l or r<ql){
return -8e18;
}
if(ql<=l and r<=qr){
return seg[id];
}
int mm=l+r>>1;
return max(query(l,mm,id*2,ql,qr),query(mm+1,r,id*2+1,ql,qr));
}
int query(int ql,int qr){
return query(1,2*n,1,ql,qr);
}
}tr;
signed main(){
setio();
ios::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
cin>>n;
v.pb({-1,0,0});
for(int i=0;i<n;i++){
int x,g,d;
cin>>x>>g>>d;
v.pb({x,g,d});
}
sort(all(v));
for(int i=1;i<=n;i++){
pre[i]=pre[i-1]+v[i].d;
preg[i]=preg[i-1]+v[i].g;
temp.pb(pre[i]-v[i].x);
temp.pb({pre[i-1]-v[i].x});
}
sort(all(temp));
temp.resize(unique(all(temp))-temp.begin());
tr.build();
int ans=0;
for(int i=1;i<=n;i++){
tr.modify(tr.getid(pre[i-1]-v[i].x),-preg[i-1]);
chmax(ans,preg[i]+tr.query(1,tr.getid(pre[i]-v[i].x)));
debug(ans);
}
cout<<ans<<'\n';
}
/*
input:
pree[r]-pree[l-1]>=x[r]-x[l]
pree[r]-x[r]>=pree[l-1]-x[l]
*/
Compilation message
divide.cpp: In member function 'void segtree::build(long long int, long long int, long long int)':
divide.cpp:76:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
76 | int mm=l+r>>1;
| ~^~
divide.cpp: In member function 'void segtree::modify(long long int, long long int, long long int, long long int, long long int)':
divide.cpp:85:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
85 | int mm=l+r>>1;
| ~^~
divide.cpp: In member function 'long long int segtree::query(long long int, long long int, long long int, long long int, long long int)':
divide.cpp:104:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
104 | int mm=l+r>>1;
| ~^~
divide.cpp: In function 'void setIO(std::string)':
divide.cpp:42:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
42 | freopen((s + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
divide.cpp:43:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
43 | freopen((s + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
2 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
2 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2392 KB |
Output is correct |
14 |
Correct |
1 ms |
2512 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2524 KB |
Output is correct |
17 |
Correct |
1 ms |
2652 KB |
Output is correct |
18 |
Correct |
1 ms |
2648 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2652 KB |
Output is correct |
22 |
Correct |
2 ms |
2652 KB |
Output is correct |
23 |
Correct |
3 ms |
5148 KB |
Output is correct |
24 |
Correct |
3 ms |
5056 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
2 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2392 KB |
Output is correct |
14 |
Correct |
1 ms |
2512 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2524 KB |
Output is correct |
17 |
Correct |
1 ms |
2652 KB |
Output is correct |
18 |
Correct |
1 ms |
2648 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2652 KB |
Output is correct |
22 |
Correct |
2 ms |
2652 KB |
Output is correct |
23 |
Correct |
3 ms |
5148 KB |
Output is correct |
24 |
Correct |
3 ms |
5056 KB |
Output is correct |
25 |
Correct |
3 ms |
5144 KB |
Output is correct |
26 |
Correct |
5 ms |
5464 KB |
Output is correct |
27 |
Correct |
6 ms |
5460 KB |
Output is correct |
28 |
Correct |
26 ms |
9312 KB |
Output is correct |
29 |
Correct |
27 ms |
9672 KB |
Output is correct |
30 |
Correct |
56 ms |
17344 KB |
Output is correct |
31 |
Correct |
57 ms |
15804 KB |
Output is correct |
32 |
Correct |
51 ms |
16572 KB |
Output is correct |
33 |
Correct |
54 ms |
15804 KB |
Output is correct |
34 |
Correct |
58 ms |
15816 KB |
Output is correct |
35 |
Correct |
52 ms |
16320 KB |
Output is correct |
36 |
Correct |
60 ms |
17200 KB |
Output is correct |