#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-10e-8 <= curr){
curr = max(seg.second,curr);
}
else return false;
}
if(curr < L-10e-8)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 = 2e9;
double ans = r;
while(r-l >= 10e-7){
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 |
0 ms |
344 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 |
600 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Incorrect |
1 ms |
452 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 |
2 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 |
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 |
3 ms |
604 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
51 ms |
3664 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
47 ms |
3696 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
63 ms |
4068 KB |
Output is correct |
2 |
Incorrect |
59 ms |
4392 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
76 ms |
5304 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
76 ms |
5332 KB |
Output is correct |
2 |
Incorrect |
70 ms |
5204 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
371 ms |
20796 KB |
Output is correct |
2 |
Correct |
350 ms |
23884 KB |
Output is correct |
3 |
Correct |
337 ms |
23244 KB |
Output is correct |
4 |
Incorrect |
204 ms |
25452 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
345 ms |
24280 KB |
Output is correct |
2 |
Incorrect |
366 ms |
22848 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
416 ms |
24728 KB |
Output is correct |
2 |
Incorrect |
417 ms |
28744 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
436 ms |
29144 KB |
Output is correct |
2 |
Incorrect |
462 ms |
27588 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
529 ms |
29028 KB |
Output is correct |
2 |
Incorrect |
517 ms |
33528 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
533 ms |
33988 KB |
Output is correct |
2 |
Incorrect |
529 ms |
31400 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
578 ms |
32620 KB |
Output is correct |
2 |
Incorrect |
584 ms |
37576 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
590 ms |
38108 KB |
Output is correct |
2 |
Incorrect |
568 ms |
35980 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
750 ms |
40688 KB |
Output is correct |
2 |
Incorrect |
765 ms |
46596 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
784 ms |
47624 KB |
Output is correct |
2 |
Incorrect |
721 ms |
44384 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |