#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 ok(double m){
double mn = 2e9, mx = -2e9, 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 <= x+d){
z = x+d;
}
if(x-d < mn) mn = x-d;
if(mx < x+d) mx = x+d;
if(mn <= 0 && L <= mx && z >= L) return 1;
}
return 0;
}
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});
}
double l = 0, r = 1e10;
For(i,60){
double m = (l+r)/2;
if(ok(m)) r = m;
else l = m;
}
assert(r <= 2236067977);
cout << setprecision(10) << r << endl;
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 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
504 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 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 |
604 KB |
Output is correct |
2 |
Correct |
1 ms |
604 KB |
Output is correct |
3 |
Correct |
1 ms |
600 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
604 KB |
Output is correct |
2 |
Correct |
2 ms |
600 KB |
Output is correct |
3 |
Correct |
2 ms |
600 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
600 KB |
Output is correct |
2 |
Correct |
1 ms |
600 KB |
Output is correct |
3 |
Correct |
2 ms |
608 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
34 ms |
2520 KB |
Output is correct |
2 |
Correct |
17 ms |
2520 KB |
Output is correct |
3 |
Correct |
11 ms |
1500 KB |
Output is correct |
4 |
Correct |
17 ms |
2520 KB |
Output is correct |
5 |
Correct |
8 ms |
1500 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
2520 KB |
Output is correct |
2 |
Correct |
14 ms |
2728 KB |
Output is correct |
3 |
Correct |
16 ms |
2520 KB |
Output is correct |
4 |
Correct |
22 ms |
2600 KB |
Output is correct |
5 |
Correct |
19 ms |
2520 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
28 ms |
2520 KB |
Output is correct |
2 |
Correct |
19 ms |
2772 KB |
Output is correct |
3 |
Correct |
18 ms |
2520 KB |
Output is correct |
4 |
Correct |
24 ms |
2608 KB |
Output is correct |
5 |
Correct |
17 ms |
2516 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
23 ms |
2520 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
47 ms |
2520 KB |
Output is correct |
2 |
Correct |
25 ms |
2516 KB |
Output is correct |
3 |
Correct |
21 ms |
2520 KB |
Output is correct |
4 |
Correct |
25 ms |
2520 KB |
Output is correct |
5 |
Correct |
20 ms |
2520 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
204 ms |
9160 KB |
Output is correct |
2 |
Incorrect |
120 ms |
9668 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
114 ms |
8796 KB |
Output is correct |
2 |
Correct |
237 ms |
9156 KB |
Output is correct |
3 |
Correct |
113 ms |
10172 KB |
Output is correct |
4 |
Correct |
110 ms |
10428 KB |
Output is correct |
5 |
Correct |
111 ms |
10432 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
225 ms |
18236 KB |
Output is correct |
2 |
Incorrect |
138 ms |
17084 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
149 ms |
17332 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
275 ms |
19136 KB |
Output is correct |
2 |
Incorrect |
160 ms |
18688 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
165 ms |
17856 KB |
Output is correct |
2 |
Correct |
303 ms |
17936 KB |
Output is correct |
3 |
Correct |
149 ms |
17568 KB |
Output is correct |
4 |
Correct |
161 ms |
18872 KB |
Output is correct |
5 |
Correct |
138 ms |
17544 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
279 ms |
18096 KB |
Output is correct |
2 |
Incorrect |
189 ms |
17848 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
188 ms |
18100 KB |
Output is correct |
2 |
Correct |
340 ms |
18104 KB |
Output is correct |
3 |
Correct |
166 ms |
18624 KB |
Output is correct |
4 |
Correct |
180 ms |
18360 KB |
Output is correct |
5 |
Correct |
153 ms |
18020 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
362 ms |
17388 KB |
Output is correct |
2 |
Incorrect |
218 ms |
18424 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
266 ms |
18876 KB |
Output is correct |
2 |
Correct |
399 ms |
18516 KB |
Output is correct |
3 |
Correct |
214 ms |
17336 KB |
Output is correct |
4 |
Correct |
239 ms |
18312 KB |
Output is correct |
5 |
Correct |
202 ms |
17592 KB |
Output is correct |