#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define lld long long double
#define pb push_back
#define pf push_front
#define all(a) a.begin(),a.end()
#define IShowSpeed ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
const int N=5e5+10;
const int mod=1e9+7;
vector<double>v1,v2;
int main()
{
IShowSpeed
int n,x1,y1;
cin>>n;
while(n--)
{
double x,y;
cin>>x>>y;
v1.pb(x);
v2.pb(y);
}
sort(all(v1));
sort(all(v2));
reverse(all(v1));
reverse(all(v2));
for(int i=1;i<v1.size();i++) v1[i]+=v1[i-1];
for(int i=1;i<v2.size();i++) v2[i]+=v2[i-1];
double ans=0;
for(int i=0;i<v1.size();i++)
{
int l=0,r=v1.size()-1,pos=-1;
while(l<=r)
{
int m=(l+r) >> 1;
double lol=i+m+2;
if(v1[i]>=lol) l=m+1,pos=m,ans=max(ans,min(v1[i]-lol,v2[m]-lol));
else r=m-1;
}
l=0,r=pos;
while(l<=r)
{
int m=(l+r) >> 1;
double lol=i+m+2;
if(v2[m]<lol || v2[m]>=v1[i]) r=m-1;
else l=m+1,ans=max(ans,min(v1[i]-lol,v2[m]-lol));
}
}
cout<<fixed<<setprecision(4)<<ans;
}
/*
100
12.0 16.8
6.0 16.4
19.6 10.0
3.1 10.8
5.9 18.7
4.8 19.4
7.1 15.5
18.9 11.9
14.0 10.2
4.7 11.1
8.6 12.0
8.9 6.8
14.3 10.3
5.8 1.5
4.0 4.1
12.6 3.3
17.5 0.2
6.3 10.0
12.4 6.7
0.6 4.6
8.5 15.1
12.2 7.5
13.1 11.8
5.4 10.0
16.6 8.6
19.3 1.7
15.4 18.4
17.5 5.0
3.5 6.5
5.3 10.0
12.7 2.4
19.9 19.4
13.8 1.4
18.8 9.8
13.3 4.2
9.9 16.8
7.2 17.9
3.4 4.6
7.3 11.4
4.2 10.9
6.9 4.2
18.1 1.1
6.1 2.3
9.3 13.3
7.9 15.1
7.6 11.1
16.0 5.2
9.8 3.5
4.4 3.4
12.4 5.3
1.0 2.8
1.8 1.4
9.5 17.7
17.8 19.4
12.5 5.4
1.4 3.0
7.6 5.8
0.4 6.3
11.3 3.1
12.6 11.9
19.5 9.0
5.3 11.5
6.4 6.4
18.5 1.0
14.9 2.9
18.1 19.3
17.3 6.0
12.4 15.1
18.1 5.8
3.6 7.7
16.0 0.8
6.8 2.0
19.3 11.9
17.7 8.8
8.8 17.1
15.4 10.0
14.8 13.2
2.7 15.3
0.5 11.0
7.4 12.4
12.5 15.7
11.3 1.2
3.8 15.4
2.4 18.2
10.6 15.3
12.1 16.9
15.3 16.8
15.8 9.4
10.0 7.8
2.2 15.1
17.6 17.8
1.9 18.9
4.9 6.1
7.4 17.3
1.2 14.0
18.0 17.4
9.2 17.4
19.2 1.1
9.6 1.7
8.0 15.3
801.2000
*/
Compilation message
sure.cpp: In function 'int main()':
sure.cpp:29:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<double>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
29 | for(int i=1;i<v1.size();i++) v1[i]+=v1[i-1];
| ~^~~~~~~~~~
sure.cpp:30:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<double>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
30 | for(int i=1;i<v2.size();i++) v2[i]+=v2[i-1];
| ~^~~~~~~~~~
sure.cpp:32:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<double>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
32 | for(int i=0;i<v1.size();i++)
| ~^~~~~~~~~~
sure.cpp:16:11: warning: unused variable 'x1' [-Wunused-variable]
16 | int n,x1,y1;
| ^~
sure.cpp:16:14: warning: unused variable 'y1' [-Wunused-variable]
16 | int n,x1,y1;
| ^~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |