#include <bits/stdc++.h>
#define PB push_back
#define MP makepair
#ifndef ONLINE_JUDGE
#define DEBUG(x) cout << #x << " = " << (x) << endl
#else
#define DEBUG(x)
#endif
#define FOR(n) for(int i = 0; i < (n); i++)
#define SORTA(v) sort((v).begin(), (v).end())
#define SORTD(v) sort((v).rbegin(), (v).rend())
#define PRINT(v) for(auto x: (v))cout << x << " "; cout << endl;
#define TWO(n) (1 << (n))
#define INPUT(v) for(auto &x : (v))cin >> x;
typedef long long ll;
using namespace std;
vector<pair<double,double>> torri;
ll n,L;
bool good(double r){
queue<pair<double,double>> s;
for(auto a:torri){
double x = a.first, y = a.second;
if (abs(y) <= r-10e-6)s.push({x-sqrt((r+y)*(r-y)),x+sqrt((r+y)*(r-y))});
}
double curr = 0;
while(!s.empty()){
if(curr >= L)return true;
auto seg = s.front();
s.pop();
if(seg.first <= curr){
curr = max(seg.second,curr);
}
else return false;
}
if(curr < L)return false;
return true;
}
void solve(){
cin >> n >> L;
torri = vector<pair<double,double>>(n);
for(int i = 0; i < n; i++){
cin >> torri[i].first >> torri[i].second;
}
double l = 1, r = 20e14;
double ans = r;
while(r-l >= 0.00001){
double c = (r+l)/2;
//cout << c << endl;
if(good(c)){
ans = min(ans,c);
r = c;
}
else{
l = c;
}
}
cout << ans << endl;
}
int main(){
cout << setprecision(18);
ios::sync_with_stdio(false);
solve();
return 0;
}
# |
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 |
Incorrect |
0 ms |
344 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
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 |
Incorrect |
2 ms |
348 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
5 ms |
604 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
600 KB |
Output is correct |
2 |
Correct |
3 ms |
604 KB |
Output is correct |
3 |
Incorrect |
3 ms |
604 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
4 ms |
604 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
64 ms |
3784 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
84 ms |
3700 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
77 ms |
3972 KB |
Output is correct |
2 |
Incorrect |
72 ms |
4244 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
88 ms |
5356 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
95 ms |
5168 KB |
Output is correct |
2 |
Incorrect |
123 ms |
5056 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
485 ms |
20168 KB |
Output is correct |
2 |
Correct |
454 ms |
22636 KB |
Output is correct |
3 |
Correct |
465 ms |
22436 KB |
Output is correct |
4 |
Incorrect |
294 ms |
24324 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
466 ms |
23272 KB |
Output is correct |
2 |
Incorrect |
473 ms |
21860 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
534 ms |
24192 KB |
Output is correct |
2 |
Incorrect |
526 ms |
27188 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
539 ms |
27952 KB |
Output is correct |
2 |
Incorrect |
591 ms |
25916 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
668 ms |
28064 KB |
Output is correct |
2 |
Incorrect |
635 ms |
31428 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
652 ms |
32224 KB |
Output is correct |
2 |
Incorrect |
633 ms |
30496 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
754 ms |
32064 KB |
Output is correct |
2 |
Incorrect |
739 ms |
35932 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
754 ms |
36892 KB |
Output is correct |
2 |
Incorrect |
726 ms |
34612 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
983 ms |
39428 KB |
Output is correct |
2 |
Incorrect |
932 ms |
44520 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
963 ms |
45804 KB |
Output is correct |
2 |
Incorrect |
858 ms |
42892 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |