#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 double long double
#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 in(double l, double r){
return ((0 <= l && l <= L) || (0 <= r && r <= L));
}
bool ok(double m){
double mn = OO, mx = -OO;
For(i,n){
auto [x,y] = v[i];
if(y*y > m*m) continue;
double d = sqrt(m * m - y * y);
if(mx != -OO && x-d > mx && in(mx,x-d)) return 0;
if(x-d < mn) mn = x-d;
if(mx < x+d) mx = x+d;
}
return (mn <= 0 && L <= 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 |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 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 |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
2 ms |
348 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
3 ms |
604 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
604 KB |
Output is correct |
2 |
Correct |
5 ms |
604 KB |
Output is correct |
3 |
Correct |
4 ms |
596 KB |
Output is correct |
4 |
Incorrect |
3 ms |
604 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
4 ms |
600 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
80 ms |
2516 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
34 ms |
2516 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
77 ms |
2520 KB |
Output is correct |
2 |
Correct |
73 ms |
3800 KB |
Output is correct |
3 |
Correct |
60 ms |
3544 KB |
Output is correct |
4 |
Correct |
39 ms |
4056 KB |
Output is correct |
5 |
Incorrect |
39 ms |
3288 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
84 ms |
2520 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
81 ms |
2520 KB |
Output is correct |
2 |
Correct |
85 ms |
4008 KB |
Output is correct |
3 |
Correct |
72 ms |
3444 KB |
Output is correct |
4 |
Incorrect |
40 ms |
4052 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
410 ms |
10188 KB |
Output is correct |
2 |
Incorrect |
421 ms |
16052 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
451 ms |
9500 KB |
Output is correct |
2 |
Incorrect |
619 ms |
14776 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
491 ms |
18612 KB |
Output is correct |
2 |
Incorrect |
522 ms |
26036 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
527 ms |
18188 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
581 ms |
17080 KB |
Output is correct |
2 |
Incorrect |
628 ms |
25984 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
616 ms |
18620 KB |
Output is correct |
2 |
Incorrect |
735 ms |
25228 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
676 ms |
18928 KB |
Output is correct |
2 |
Incorrect |
700 ms |
26444 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
690 ms |
18532 KB |
Output is correct |
2 |
Incorrect |
766 ms |
25380 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
819 ms |
17204 KB |
Output is correct |
2 |
Incorrect |
866 ms |
31920 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
894 ms |
17080 KB |
Output is correct |
2 |
Incorrect |
946 ms |
29408 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |