#include <bits/stdc++.h>
using namespace std ;
#define int long long
const int MAX = 2e5 + 10 ;
int arr[MAX][3] ;
int n ;
int tree[4 * MAX] , lazy[4 * MAX] ;
void prop(int node , int l , int r)
{
tree[node] += lazy[node] ;
if(l != r)
{
lazy[node << 1] += lazy[node] ;
lazy[node << 1 | 1] += lazy[node] ;
}
lazy[node] = 0 ;
}
void Add(int node , int l , int r , int from , int to , int val)
{
prop(node , l , r) ;
if(from > r || to < l)
return ;
if(l >= from && r <= to)
{
lazy[node] += val ;
prop(node , l , r) ;
return ;
}
int mid = (l + r) >> 1 ;
Add(node << 1 , l , mid , from , to , val) ;
Add(node << 1 | 1 , mid+1 , r , from , to , val) ;
tree[node] = max(tree[node << 1] , tree[node << 1 | 1]) ;
}
int query(int node , int l , int r , int from , int to)
{
prop(node , l , r) ;
if(from > r || to < l)
return (-1e9) ;
if(l >= from && r <= to)
return tree[node] ;
int mid = (l + r) >> 1 ;
int x = query(node << 1 , l , mid , from , to) ;
int y = query(node << 1 | 1 , mid+1 , r , from , to) ;
return max(x , y) ;
}
int tree2[4 * MAX] ;
void update(int node , int l , int r , int idx , int val)
{
if(idx > r || idx < l)
return ;
if(l == r)
{
tree2[node] = val ;
return ;
}
int mid = (l + r) >> 1 ;
update(node << 1 , l , mid , idx , val) ;
update(node << 1 | 1 , mid+1 , r , idx , val) ;
tree2[node] = max(tree2[node << 1] , tree2[node << 1 | 1]) ;
}
int FindFirst(int node , int l , int r , int val)
{
if(val > tree2[node])
return (n+1) ;
if(l == r)
return l ;
int mid = (l + r) >> 1 ;
if(tree2[node << 1] > val)
return FindFirst(node << 1 , l , mid , val) ;
else
return FindFirst(node << 1 | 1 , mid+1 , r , val) ;
}
int pos[MAX] , nxt[MAX] ;
set<int>s ;
vector< array<int , 3> >v ;
vector< pair<int , int> >vp ;
void Insert(int idx)
{
Add(1 , 1 , n , idx , idx , -1e9) ;
s.insert(idx) ;
int nxtidx = FindFirst(1 , 1 , n , v[idx][1]) ;
int l = nxt[idx] , r = nxtidx-1 ;
if(l <= r)
{
Add(1 , 1 , n , l , r , v[idx][1]) ;
}
}
void Erase(int idx)
{
Add(1 , 1 , n , idx , idx , 1e9) ;
s.erase(idx) ;
int nxtmx = FindFirst(1 , 1 , n , v[idx][1]) ;
int l = nxt[idx] , r = nxtmx-1 ;
if(l <= r)
Add(1 , 1 , n , l , r , -1 * v[idx][1]) ;
}
void Del(int idx)
{
if(s.find(idx) == s.end())
{
update(1 , 1 , n , idx , -1e9) ;
Add(1 , 1 , n , idx , idx , -1e9) ;
return ;
}
int prv = -1 ;
if((*s.begin()) != idx)
{
prv = *prev(s.lower_bound(idx)) ;
Erase(prv) ;
}
Erase(idx) ;
update(1 , 1 , n , idx , -1e9) ;
Add(1 , 1 , n , idx , idx , -1e9) ;
int cur = prv ;
if(cur == -1)
cur = FindFirst(1 , 1 , n , 0) ;
while(s.find(cur) == s.end())
{
Insert(cur) ;
cur = FindFirst(1 , 1 , n , v[cur][1]) ;
}
}
int32_t main()
{
ios_base::sync_with_stdio(0) ;
cin.tie(0) ;
cin>>n ;
for(int i = 1 ; i <= n ; ++i)
cin>>arr[i][0]>>arr[i][1]>>arr[i][2] ;
for(int i = 1 ; i <= n ; ++i)
v.push_back({arr[i][1] , arr[i][2] , i}) , vp.emplace_back(arr[i][0] , i) ;
v.push_back({0 , 0 , 0}) , vp.emplace_back(0 , 0) ;
sort(v.begin() , v.end()) ;
sort(vp.begin() , vp.end()) ;
nxt[n] = n+1 ;
for(int i = n-1 ; i >= 1 ; --i)
{
nxt[i] = nxt[i+1] ;
if(v[i][0] != v[i+1][0])
nxt[i] = i+1 ;
}
for(int i = 1 ; i <= n ; ++i)
{
pos[v[i][2]] = i ;
Add(1 , 1 , n , i , i , v[i][0]) ;
update(1 , 1 , n , i , v[i][1]) ;
}
s.insert(n+1) ;
int Max = 0 ;
for(int i = 1 ; i <= n ; ++i)
{
// if(query(1 , 1 , n , i , i) == v[i][0])
// Add(1 , 1 , n , i , i , -1e9) ;
if(v[i][1] <= Max)
continue ;
Max = v[i][1] ;
Insert(i) ;
}
int j = n , ans = -1 ;
for(int i = n ; i >= 1 ; --i)
{
int idx = vp[i].second ;
while(j >= 0 && vp[i].first == vp[j].first)
{
Del(pos[vp[j].second]) , --j ;
}
int l = FindFirst(1 , 1 , n , arr[idx][2]) ;
l = max(l , nxt[pos[idx]]) ;
if(l <= n)
ans = max(ans , vp[i].first + query(1 , 1 , n , l , n)) ;
}
return cout<<ans<<"\n" , 0 ;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Incorrect |
0 ms |
340 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Incorrect |
0 ms |
340 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Incorrect |
0 ms |
340 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Incorrect |
0 ms |
340 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Incorrect |
0 ms |
340 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Incorrect |
0 ms |
340 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Incorrect |
0 ms |
340 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |