#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);}
double eps = 1e-9;
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 <= x+d){
z = x+d;
}
if(x-d < mn) mn = x-d;
if(mx < x+d) mx = x+d;
}
if(z >= L){
assert(z >= mx);
}
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 |
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 |
# |
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 |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
2 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 6 |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 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 |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
604 KB |
Output is correct |
2 |
Correct |
2 ms |
572 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 |
604 KB |
Output is correct |
5 |
Correct |
2 ms |
600 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
34 ms |
2516 KB |
Output is correct |
2 |
Correct |
30 ms |
2520 KB |
Output is correct |
3 |
Correct |
21 ms |
1496 KB |
Output is correct |
4 |
Correct |
22 ms |
2520 KB |
Output is correct |
5 |
Correct |
13 ms |
1500 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
21 ms |
2516 KB |
Output is correct |
2 |
Correct |
20 ms |
2520 KB |
Output is correct |
3 |
Correct |
26 ms |
2776 KB |
Output is correct |
4 |
Correct |
22 ms |
2516 KB |
Output is correct |
5 |
Correct |
24 ms |
2520 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
31 ms |
2772 KB |
Output is correct |
2 |
Correct |
37 ms |
2520 KB |
Output is correct |
3 |
Correct |
27 ms |
2520 KB |
Output is correct |
4 |
Runtime error |
26 ms |
4052 KB |
Execution killed with signal 6 |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
36 ms |
2520 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
45 ms |
2520 KB |
Output is correct |
2 |
Correct |
38 ms |
2520 KB |
Output is correct |
3 |
Correct |
32 ms |
2520 KB |
Output is correct |
4 |
Runtime error |
28 ms |
4052 KB |
Execution killed with signal 6 |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
175 ms |
8768 KB |
Output is correct |
2 |
Incorrect |
210 ms |
9104 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
179 ms |
9672 KB |
Output is correct |
2 |
Correct |
268 ms |
9924 KB |
Output is correct |
3 |
Correct |
148 ms |
10188 KB |
Output is correct |
4 |
Correct |
126 ms |
9408 KB |
Output is correct |
5 |
Runtime error |
112 ms |
16568 KB |
Execution killed with signal 6 |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
209 ms |
17780 KB |
Output is correct |
2 |
Incorrect |
208 ms |
18172 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
213 ms |
18104 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
260 ms |
17236 KB |
Output is correct |
2 |
Incorrect |
243 ms |
17064 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
254 ms |
18800 KB |
Output is correct |
2 |
Correct |
326 ms |
19020 KB |
Output is correct |
3 |
Correct |
213 ms |
18876 KB |
Output is correct |
4 |
Correct |
196 ms |
17080 KB |
Output is correct |
5 |
Runtime error |
168 ms |
23216 KB |
Execution killed with signal 6 |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
268 ms |
18184 KB |
Output is correct |
2 |
Incorrect |
281 ms |
17844 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
283 ms |
17676 KB |
Output is correct |
2 |
Runtime error |
257 ms |
27348 KB |
Execution killed with signal 6 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
388 ms |
17816 KB |
Output is correct |
2 |
Incorrect |
374 ms |
18360 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
353 ms |
18440 KB |
Output is correct |
2 |
Correct |
451 ms |
17756 KB |
Output is correct |
3 |
Correct |
307 ms |
18872 KB |
Output is correct |
4 |
Correct |
289 ms |
18588 KB |
Output is correct |
5 |
Correct |
258 ms |
17428 KB |
Output is correct |