#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,popcnt,sse4")
#define ll long long
#define pll pair<ll,ll>
#define pii pair<int,int>
#define fs first
#define sc second
#define tlll tuple<ll,ll,ll>
#define ld double
#define pld pair<ld,ld>
const int mxn = 1e6+10;
ll N,L;
pair<ll,ll> arr[mxn];
inline bool check(ld r){
vector<pld> v;
for(int i = 0;i<N;i++){
if(r<arr[i].sc)continue;
v.push_back(pld(arr[i].fs-sqrt(r*r-arr[i].sc*arr[i].sc),arr[i].fs+sqrt(r*r-arr[i].sc*arr[i].sc)));
if(v.back().fs<0&&v.back().sc>L)return true;
}
//sort(v.begin(),v.end());
ld pre = 0;
for(auto &i:v){
if(pre>L)return true;
if(pre>=i.fs)pre = max(pre,i.sc);
}
return pre>L;
}
int main(){
ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
ld l = 0,r = 2e9;
cin>>N>>L;
for(int i = 0;i<N;i++)cin>>arr[i].fs>>arr[i].sc,arr[i].sc = abs(arr[i].sc);
for(int i = 0;r-l>0.001;i++){
ld mid = (l+r)/2;
if(check(mid))r = mid;
else l = mid;
}
cout<<fixed<<setprecision(10)<<l<<'\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 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 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
2 ms |
604 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
2 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
604 KB |
Output is correct |
2 |
Correct |
2 ms |
832 KB |
Output is correct |
3 |
Correct |
2 ms |
604 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
604 KB |
Output is correct |
2 |
Correct |
3 ms |
828 KB |
Output is correct |
3 |
Correct |
2 ms |
600 KB |
Output is correct |
4 |
Correct |
2 ms |
600 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
812 KB |
Output is correct |
2 |
Correct |
2 ms |
828 KB |
Output is correct |
3 |
Correct |
2 ms |
604 KB |
Output is correct |
4 |
Correct |
2 ms |
604 KB |
Output is correct |
5 |
Correct |
2 ms |
472 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
35 ms |
6716 KB |
Output is correct |
2 |
Correct |
44 ms |
7104 KB |
Output is correct |
3 |
Correct |
25 ms |
5036 KB |
Output is correct |
4 |
Correct |
17 ms |
4652 KB |
Output is correct |
5 |
Correct |
7 ms |
3680 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
13 ms |
4124 KB |
Output is correct |
2 |
Correct |
13 ms |
4288 KB |
Output is correct |
3 |
Correct |
15 ms |
4648 KB |
Output is correct |
4 |
Correct |
16 ms |
4760 KB |
Output is correct |
5 |
Correct |
18 ms |
5064 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
62 ms |
6872 KB |
Output is correct |
2 |
Correct |
38 ms |
7252 KB |
Output is correct |
3 |
Correct |
25 ms |
5680 KB |
Output is correct |
4 |
Correct |
23 ms |
6092 KB |
Output is correct |
5 |
Correct |
15 ms |
4532 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
72 ms |
7932 KB |
Output is correct |
2 |
Correct |
66 ms |
7816 KB |
Output is correct |
3 |
Correct |
37 ms |
6928 KB |
Output is correct |
4 |
Correct |
23 ms |
6084 KB |
Output is correct |
5 |
Correct |
19 ms |
5516 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
91 ms |
7892 KB |
Output is correct |
2 |
Correct |
55 ms |
8048 KB |
Output is correct |
3 |
Correct |
39 ms |
6984 KB |
Output is correct |
4 |
Correct |
24 ms |
6164 KB |
Output is correct |
5 |
Correct |
18 ms |
5324 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
382 ms |
29284 KB |
Output is correct |
2 |
Correct |
245 ms |
32604 KB |
Output is correct |
3 |
Correct |
201 ms |
32148 KB |
Output is correct |
4 |
Correct |
111 ms |
25504 KB |
Output is correct |
5 |
Correct |
96 ms |
22772 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
349 ms |
33304 KB |
Output is correct |
2 |
Correct |
256 ms |
31996 KB |
Output is correct |
3 |
Correct |
168 ms |
28616 KB |
Output is correct |
4 |
Correct |
124 ms |
24728 KB |
Output is correct |
5 |
Correct |
103 ms |
23988 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
534 ms |
43152 KB |
Output is correct |
2 |
Correct |
322 ms |
46084 KB |
Output is correct |
3 |
Correct |
211 ms |
47008 KB |
Output is correct |
4 |
Correct |
138 ms |
30840 KB |
Output is correct |
5 |
Correct |
115 ms |
26644 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
505 ms |
48608 KB |
Output is correct |
2 |
Correct |
322 ms |
45720 KB |
Output is correct |
3 |
Correct |
237 ms |
33288 KB |
Output is correct |
4 |
Correct |
134 ms |
29708 KB |
Output is correct |
5 |
Correct |
115 ms |
27656 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
606 ms |
47108 KB |
Output is correct |
2 |
Correct |
386 ms |
51204 KB |
Output is correct |
3 |
Correct |
343 ms |
51064 KB |
Output is correct |
4 |
Correct |
160 ms |
34520 KB |
Output is correct |
5 |
Correct |
121 ms |
30824 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
450 ms |
55312 KB |
Output is correct |
2 |
Correct |
358 ms |
50664 KB |
Output is correct |
3 |
Correct |
254 ms |
37536 KB |
Output is correct |
4 |
Correct |
184 ms |
40500 KB |
Output is correct |
5 |
Correct |
140 ms |
30596 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
665 ms |
52632 KB |
Output is correct |
2 |
Correct |
415 ms |
57320 KB |
Output is correct |
3 |
Correct |
282 ms |
55828 KB |
Output is correct |
4 |
Correct |
179 ms |
43568 KB |
Output is correct |
5 |
Correct |
164 ms |
40264 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
545 ms |
58404 KB |
Output is correct |
2 |
Correct |
396 ms |
55132 KB |
Output is correct |
3 |
Correct |
240 ms |
51536 KB |
Output is correct |
4 |
Correct |
199 ms |
45008 KB |
Output is correct |
5 |
Correct |
145 ms |
34928 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
768 ms |
57204 KB |
Output is correct |
2 |
Correct |
378 ms |
63816 KB |
Output is correct |
3 |
Correct |
515 ms |
63560 KB |
Output is correct |
4 |
Correct |
224 ms |
50336 KB |
Output is correct |
5 |
Correct |
194 ms |
44712 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
695 ms |
65376 KB |
Output is correct |
2 |
Correct |
474 ms |
61544 KB |
Output is correct |
3 |
Correct |
360 ms |
57140 KB |
Output is correct |
4 |
Correct |
230 ms |
50752 KB |
Output is correct |
5 |
Correct |
195 ms |
46808 KB |
Output is correct |