#include <bits/stdc++.h>
using namespace std;
#define int long long
#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 >= mx);
}
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,60){
double m = (l+r)/2;
if(ok(m)) r = m;
else l = m;
}
cout << setprecision(10) << r << endl;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
504 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 |
# |
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 |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 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 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
600 KB |
Output is correct |
2 |
Correct |
2 ms |
604 KB |
Output is correct |
3 |
Correct |
2 ms |
604 KB |
Output is correct |
4 |
Correct |
2 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
604 KB |
Output is correct |
2 |
Correct |
2 ms |
604 KB |
Output is correct |
3 |
Correct |
2 ms |
604 KB |
Output is correct |
4 |
Correct |
2 ms |
600 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
604 KB |
Output is correct |
2 |
Correct |
3 ms |
604 KB |
Output is correct |
3 |
Correct |
2 ms |
604 KB |
Output is correct |
4 |
Correct |
2 ms |
604 KB |
Output is correct |
5 |
Correct |
2 ms |
600 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
34 ms |
2520 KB |
Output is correct |
2 |
Correct |
26 ms |
2412 KB |
Output is correct |
3 |
Correct |
16 ms |
1500 KB |
Output is correct |
4 |
Correct |
22 ms |
2572 KB |
Output is correct |
5 |
Correct |
12 ms |
1496 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
20 ms |
2520 KB |
Output is correct |
2 |
Correct |
22 ms |
2520 KB |
Output is correct |
3 |
Correct |
21 ms |
2520 KB |
Output is correct |
4 |
Correct |
22 ms |
2644 KB |
Output is correct |
5 |
Correct |
23 ms |
2540 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
34 ms |
2520 KB |
Output is correct |
2 |
Correct |
32 ms |
2564 KB |
Output is correct |
3 |
Correct |
32 ms |
2520 KB |
Output is correct |
4 |
Incorrect |
27 ms |
2504 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
39 ms |
2412 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
35 ms |
2520 KB |
Output is correct |
2 |
Correct |
34 ms |
2520 KB |
Output is correct |
3 |
Correct |
30 ms |
2608 KB |
Output is correct |
4 |
Incorrect |
28 ms |
2520 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
175 ms |
9184 KB |
Output is correct |
2 |
Incorrect |
174 ms |
8892 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
184 ms |
9316 KB |
Output is correct |
2 |
Correct |
269 ms |
9668 KB |
Output is correct |
3 |
Correct |
152 ms |
9156 KB |
Output is correct |
4 |
Correct |
128 ms |
10704 KB |
Output is correct |
5 |
Incorrect |
128 ms |
8640 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
201 ms |
17800 KB |
Output is correct |
2 |
Incorrect |
202 ms |
17848 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
210 ms |
18352 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
245 ms |
18360 KB |
Output is correct |
2 |
Incorrect |
234 ms |
17592 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
246 ms |
18872 KB |
Output is correct |
2 |
Correct |
328 ms |
18028 KB |
Output is correct |
3 |
Correct |
208 ms |
18484 KB |
Output is correct |
4 |
Correct |
188 ms |
17844 KB |
Output is correct |
5 |
Incorrect |
174 ms |
18228 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
255 ms |
18368 KB |
Output is correct |
2 |
Incorrect |
278 ms |
18924 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
286 ms |
18364 KB |
Output is correct |
2 |
Incorrect |
365 ms |
17916 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
327 ms |
18056 KB |
Output is correct |
2 |
Incorrect |
380 ms |
17844 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
343 ms |
18072 KB |
Output is correct |
2 |
Correct |
456 ms |
18912 KB |
Output is correct |
3 |
Correct |
292 ms |
17844 KB |
Output is correct |
4 |
Correct |
285 ms |
18360 KB |
Output is correct |
5 |
Correct |
266 ms |
18360 KB |
Output is correct |