#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 cmp(const pi &a, const pi &b){
return (a.f==b.f ? abs(a.s) < abs(b.s): a.f < b.f);
}
bool ok(double m){
double mn = OO, mx = -OO, 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});
}
sort(all(v),cmp);
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 |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 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 |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 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 |
2 ms |
468 KB |
Output is correct |
3 |
Correct |
2 ms |
344 KB |
Output is correct |
4 |
Incorrect |
2 ms |
348 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
3 ms |
600 KB |
Output is correct |
4 |
Correct |
3 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
604 KB |
Output is correct |
2 |
Correct |
3 ms |
604 KB |
Output is correct |
3 |
Correct |
3 ms |
604 KB |
Output is correct |
4 |
Correct |
2 ms |
600 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
604 KB |
Output is correct |
2 |
Correct |
3 ms |
604 KB |
Output is correct |
3 |
Correct |
3 ms |
604 KB |
Output is correct |
4 |
Correct |
3 ms |
600 KB |
Output is correct |
5 |
Correct |
2 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
62 ms |
2516 KB |
Output is correct |
2 |
Correct |
41 ms |
3540 KB |
Output is correct |
3 |
Correct |
25 ms |
2012 KB |
Output is correct |
4 |
Correct |
29 ms |
3800 KB |
Output is correct |
5 |
Correct |
18 ms |
2012 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
28 ms |
2516 KB |
Output is correct |
2 |
Correct |
27 ms |
3288 KB |
Output is correct |
3 |
Correct |
29 ms |
3544 KB |
Output is correct |
4 |
Correct |
29 ms |
3544 KB |
Output is correct |
5 |
Correct |
35 ms |
3844 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
45 ms |
2772 KB |
Output is correct |
2 |
Correct |
54 ms |
2520 KB |
Output is correct |
3 |
Correct |
40 ms |
2516 KB |
Output is correct |
4 |
Incorrect |
40 ms |
2520 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
54 ms |
2520 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
53 ms |
2516 KB |
Output is correct |
2 |
Correct |
53 ms |
2520 KB |
Output is correct |
3 |
Correct |
47 ms |
2520 KB |
Output is correct |
4 |
Incorrect |
45 ms |
2520 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
266 ms |
10448 KB |
Output is correct |
2 |
Incorrect |
319 ms |
8900 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
274 ms |
8980 KB |
Output is correct |
2 |
Correct |
481 ms |
8908 KB |
Output is correct |
3 |
Correct |
226 ms |
14008 KB |
Output is correct |
4 |
Correct |
181 ms |
17480 KB |
Output is correct |
5 |
Incorrect |
173 ms |
15544 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
311 ms |
18092 KB |
Output is correct |
2 |
Incorrect |
387 ms |
17588 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
351 ms |
18612 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
395 ms |
18616 KB |
Output is correct |
2 |
Incorrect |
383 ms |
18444 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
373 ms |
17076 KB |
Output is correct |
2 |
Correct |
575 ms |
17080 KB |
Output is correct |
3 |
Correct |
319 ms |
23776 KB |
Output is correct |
4 |
Correct |
258 ms |
28640 KB |
Output is correct |
5 |
Incorrect |
255 ms |
26692 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
432 ms |
17592 KB |
Output is correct |
2 |
Incorrect |
422 ms |
18792 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
450 ms |
18360 KB |
Output is correct |
2 |
Incorrect |
627 ms |
17104 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
539 ms |
18628 KB |
Output is correct |
2 |
Incorrect |
524 ms |
18264 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
549 ms |
17596 KB |
Output is correct |
2 |
Correct |
763 ms |
18780 KB |
Output is correct |
3 |
Correct |
463 ms |
28268 KB |
Output is correct |
4 |
Correct |
395 ms |
35972 KB |
Output is correct |
5 |
Correct |
392 ms |
30892 KB |
Output is correct |