#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;
#pragma GCC optimize("Ofast,no-stack-protector",3)
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({max(0.0,x-sqrt(r*r-y*y)),min((double)L,x+sqrt(r*r-y*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);
cin.tie(nullptr); cout.tie(nullptr);
solve();
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 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
Incorrect |
0 ms |
452 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
2 ms |
344 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 |
5 ms |
604 KB |
Output is correct |
2 |
Correct |
4 ms |
600 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 |
60 ms |
3604 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
49 ms |
3724 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
74 ms |
3944 KB |
Output is correct |
2 |
Incorrect |
70 ms |
4452 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
86 ms |
5200 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
90 ms |
5332 KB |
Output is correct |
2 |
Incorrect |
84 ms |
5084 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
430 ms |
20852 KB |
Output is correct |
2 |
Correct |
431 ms |
24304 KB |
Output is correct |
3 |
Correct |
476 ms |
23828 KB |
Output is correct |
4 |
Incorrect |
276 ms |
26072 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
444 ms |
24820 KB |
Output is correct |
2 |
Incorrect |
441 ms |
23152 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
519 ms |
25004 KB |
Output is correct |
2 |
Incorrect |
526 ms |
29104 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
530 ms |
29632 KB |
Output is correct |
2 |
Incorrect |
554 ms |
27680 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
629 ms |
29040 KB |
Output is correct |
2 |
Incorrect |
619 ms |
33812 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
644 ms |
34512 KB |
Output is correct |
2 |
Incorrect |
605 ms |
32184 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
728 ms |
33120 KB |
Output is correct |
2 |
Incorrect |
735 ms |
38696 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
756 ms |
39372 KB |
Output is correct |
2 |
Incorrect |
712 ms |
36696 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
901 ms |
41272 KB |
Output is correct |
2 |
Incorrect |
910 ms |
48144 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
927 ms |
49060 KB |
Output is correct |
2 |
Incorrect |
873 ms |
45888 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |