#include <bits/stdc++.h>
using namespace std;
#define int long long
#define double long double
#define pi pair<int,int>
#define vi vector<int>
#define rep(i,x,n) for(int i=x; i<n; ++i)
#define For(i,n) rep(i,0,n)
#define pb push_back
#define endl "\n"
#define sp ' '
#define f first
#define s second
#define sz size()
#define all(x) (x).begin(),(x).end()
const int N = 3e5+10, OO = 1e18, mod = 1e9+7;
void tr(int a, int b){cout << a << sp << b << endl;}
void cmx(int &a, int b){a = max(a,b);}
void cmn(int &a, int b){a = min(a,b);}
vector <pi> v;
int n,L;
bool ok(double m){
double mn = -2e9, mx = 2e9, z = 0;
For(i,n){
auto [x,y] = v[i];
if(y*y > m*m) continue;
double d = sqrt(m * m - y * y);
if(x-d <= z){
z = max(z,x+d);
}
if(x-d < mn) mn = x-d;
if(mx < x+d) mx = x+d;
}
return (mn <= 0 && L <= mx && z >= L);
}
int32_t main() {
ios::sync_with_stdio(0); cin.tie(0);
cin >> n >> L;
For(i,n){
int x,y; cin >> x >> y;
v.pb({x,y});
}
double l = 0, r = 1e10;
For(i,100){
double m = (l+r)/2;
bool b = ok(m);
if(b) r = m;
else l = m;
}
cout << setprecision(10) << r << endl;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
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 |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
568 KB |
Output is correct |
2 |
Correct |
3 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
2 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
600 KB |
Output is correct |
2 |
Correct |
5 ms |
668 KB |
Output is correct |
3 |
Correct |
4 ms |
604 KB |
Output is correct |
4 |
Correct |
4 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
604 KB |
Output is correct |
2 |
Correct |
6 ms |
604 KB |
Output is correct |
3 |
Correct |
4 ms |
664 KB |
Output is correct |
4 |
Correct |
3 ms |
600 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
604 KB |
Output is correct |
2 |
Correct |
5 ms |
604 KB |
Output is correct |
3 |
Correct |
4 ms |
604 KB |
Output is correct |
4 |
Correct |
3 ms |
600 KB |
Output is correct |
5 |
Correct |
3 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
74 ms |
2520 KB |
Output is correct |
2 |
Correct |
68 ms |
2520 KB |
Output is correct |
3 |
Correct |
39 ms |
1500 KB |
Output is correct |
4 |
Correct |
31 ms |
2520 KB |
Output is correct |
5 |
Correct |
22 ms |
1500 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
34 ms |
2520 KB |
Output is correct |
2 |
Correct |
31 ms |
2520 KB |
Output is correct |
3 |
Correct |
35 ms |
2520 KB |
Output is correct |
4 |
Correct |
32 ms |
2520 KB |
Output is correct |
5 |
Correct |
35 ms |
2580 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
81 ms |
2520 KB |
Output is correct |
2 |
Correct |
73 ms |
2520 KB |
Output is correct |
3 |
Correct |
61 ms |
2776 KB |
Output is correct |
4 |
Correct |
37 ms |
2516 KB |
Output is correct |
5 |
Correct |
38 ms |
2520 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
91 ms |
2772 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
93 ms |
2520 KB |
Output is correct |
2 |
Correct |
88 ms |
2520 KB |
Output is correct |
3 |
Correct |
71 ms |
2520 KB |
Output is correct |
4 |
Correct |
41 ms |
2520 KB |
Output is correct |
5 |
Correct |
42 ms |
2520 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
457 ms |
8912 KB |
Output is correct |
2 |
Incorrect |
442 ms |
9148 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
479 ms |
10180 KB |
Output is correct |
2 |
Correct |
591 ms |
9644 KB |
Output is correct |
3 |
Correct |
361 ms |
9892 KB |
Output is correct |
4 |
Correct |
176 ms |
8896 KB |
Output is correct |
5 |
Correct |
189 ms |
9420 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
568 ms |
17592 KB |
Output is correct |
2 |
Incorrect |
533 ms |
17332 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
541 ms |
17848 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
647 ms |
18776 KB |
Output is correct |
2 |
Incorrect |
611 ms |
17852 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
638 ms |
17588 KB |
Output is correct |
2 |
Correct |
701 ms |
18964 KB |
Output is correct |
3 |
Correct |
521 ms |
18872 KB |
Output is correct |
4 |
Correct |
307 ms |
17548 KB |
Output is correct |
5 |
Correct |
273 ms |
18052 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
725 ms |
17592 KB |
Output is correct |
2 |
Incorrect |
729 ms |
17848 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
729 ms |
18620 KB |
Output is correct |
2 |
Correct |
772 ms |
17688 KB |
Output is correct |
3 |
Correct |
580 ms |
17592 KB |
Output is correct |
4 |
Correct |
286 ms |
19116 KB |
Output is correct |
5 |
Correct |
304 ms |
18572 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
892 ms |
18872 KB |
Output is correct |
2 |
Incorrect |
903 ms |
17588 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
881 ms |
17128 KB |
Output is correct |
2 |
Correct |
968 ms |
17316 KB |
Output is correct |
3 |
Correct |
723 ms |
22956 KB |
Output is correct |
4 |
Correct |
372 ms |
26304 KB |
Output is correct |
5 |
Correct |
420 ms |
23956 KB |
Output is correct |