//#pragma GCC optimize("Ofast,unroll-loops,O3")
//#pragma GCC target("avx,avx2,sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,fma,tune=native")
#include<bits/stdc++.h>
//#include<bits/extc++.h>
//#pragma pack(1)
#define fast ios::sync_with_stdio(0); cin.tie(0);
#define int long long
#define double long double
#define pii pair<int,int>
#define x first
#define y second
#define N 1000015
#define eps 1e-8
using namespace std;
//using namespace __gnu_pbds;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
//typedef tree<int, null_type,less_equal<int>, rb_tree_tag,tree_order_statistics_node_update> order_multiset;
//typedef tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update> order_set;
int n,L;
pii arr[N];
map<int,int>mp;
bool check(double val){
//cout<<sqrt(val)<<" -> \n";
double r=0;
for (int i=1;i<=n;i++){
if (val*val-arr[i].y*arr[i].y<=eps) continue;
double dl=(double)arr[i].x-sqrt(val*val-arr[i].y*arr[i].y);
double dr=(double)arr[i].x+sqrt(val*val-arr[i].y*arr[i].y);
if (dl<=r) r=max(dr,r);
}
if (r>=(double)L){
return 1;
}
return 0;
}
signed main(){
fast
// freopen("loan.in","r",stdin);
// freopen("loan.out","w",stdout);
cout<<fixed<<setprecision(5);
cin>>n>>L;
for (int i=1;i<=n;i++){
cin>>arr[i].x>>arr[i].y;
}
sort(arr+1,arr+1+n);
double l=0,r=4e18;
while (r-l>0.00001){
double mid=(l+r)/2.0;
// cout<<l<<" ~ "<<r<<'\n';
if (check(mid)) r=mid;
else l=mid;
}
cout<<(double)(l)<<'\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
336 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
340 KB |
Output is correct |
2 |
Correct |
2 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
2 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
340 KB |
Output is correct |
2 |
Correct |
3 ms |
476 KB |
Output is correct |
3 |
Correct |
3 ms |
340 KB |
Output is correct |
4 |
Correct |
4 ms |
468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
340 KB |
Output is correct |
2 |
Correct |
3 ms |
468 KB |
Output is correct |
3 |
Correct |
3 ms |
348 KB |
Output is correct |
4 |
Correct |
4 ms |
468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
396 KB |
Output is correct |
2 |
Correct |
4 ms |
468 KB |
Output is correct |
3 |
Correct |
4 ms |
348 KB |
Output is correct |
4 |
Correct |
5 ms |
468 KB |
Output is correct |
5 |
Correct |
3 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
51 ms |
2092 KB |
Output is correct |
2 |
Correct |
47 ms |
2564 KB |
Output is correct |
3 |
Correct |
28 ms |
1752 KB |
Output is correct |
4 |
Correct |
39 ms |
2624 KB |
Output is correct |
5 |
Correct |
23 ms |
1492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
41 ms |
2028 KB |
Output is correct |
2 |
Correct |
36 ms |
2232 KB |
Output is correct |
3 |
Correct |
41 ms |
2620 KB |
Output is correct |
4 |
Correct |
39 ms |
2720 KB |
Output is correct |
5 |
Correct |
41 ms |
3144 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
54 ms |
2036 KB |
Output is correct |
2 |
Correct |
50 ms |
2036 KB |
Output is correct |
3 |
Correct |
49 ms |
2516 KB |
Output is correct |
4 |
Correct |
50 ms |
3808 KB |
Output is correct |
5 |
Correct |
46 ms |
2628 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
65 ms |
2396 KB |
Output is correct |
2 |
Correct |
63 ms |
3292 KB |
Output is correct |
3 |
Correct |
54 ms |
2808 KB |
Output is correct |
4 |
Correct |
56 ms |
3836 KB |
Output is correct |
5 |
Correct |
53 ms |
3144 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
62 ms |
2348 KB |
Output is correct |
2 |
Correct |
74 ms |
2396 KB |
Output is correct |
3 |
Correct |
56 ms |
2920 KB |
Output is correct |
4 |
Correct |
53 ms |
3824 KB |
Output is correct |
5 |
Correct |
52 ms |
3168 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
299 ms |
8652 KB |
Output is correct |
2 |
Correct |
294 ms |
8724 KB |
Output is correct |
3 |
Correct |
314 ms |
10028 KB |
Output is correct |
4 |
Correct |
268 ms |
9420 KB |
Output is correct |
5 |
Correct |
309 ms |
14944 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
322 ms |
8656 KB |
Output is correct |
2 |
Correct |
397 ms |
10136 KB |
Output is correct |
3 |
Correct |
270 ms |
13900 KB |
Output is correct |
4 |
Correct |
274 ms |
17372 KB |
Output is correct |
5 |
Correct |
269 ms |
15504 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
421 ms |
10224 KB |
Output is correct |
2 |
Correct |
380 ms |
10016 KB |
Output is correct |
3 |
Correct |
430 ms |
13036 KB |
Output is correct |
4 |
Correct |
346 ms |
12192 KB |
Output is correct |
5 |
Correct |
330 ms |
17712 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
390 ms |
10316 KB |
Output is correct |
2 |
Correct |
482 ms |
13248 KB |
Output is correct |
3 |
Correct |
342 ms |
16548 KB |
Output is correct |
4 |
Correct |
343 ms |
21452 KB |
Output is correct |
5 |
Correct |
356 ms |
18448 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
416 ms |
12076 KB |
Output is correct |
2 |
Correct |
480 ms |
11888 KB |
Output is correct |
3 |
Correct |
439 ms |
13896 KB |
Output is correct |
4 |
Correct |
406 ms |
13800 KB |
Output is correct |
5 |
Correct |
373 ms |
20204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
457 ms |
11884 KB |
Output is correct |
2 |
Correct |
559 ms |
14288 KB |
Output is correct |
3 |
Correct |
427 ms |
19668 KB |
Output is correct |
4 |
Correct |
391 ms |
24672 KB |
Output is correct |
5 |
Correct |
405 ms |
21408 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
525 ms |
13880 KB |
Output is correct |
2 |
Correct |
503 ms |
13692 KB |
Output is correct |
3 |
Correct |
530 ms |
15616 KB |
Output is correct |
4 |
Correct |
427 ms |
15788 KB |
Output is correct |
5 |
Correct |
440 ms |
24012 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
470 ms |
13736 KB |
Output is correct |
2 |
Correct |
531 ms |
15760 KB |
Output is correct |
3 |
Correct |
417 ms |
22376 KB |
Output is correct |
4 |
Correct |
397 ms |
28236 KB |
Output is correct |
5 |
Correct |
386 ms |
24392 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
552 ms |
17144 KB |
Output is correct |
2 |
Correct |
562 ms |
16984 KB |
Output is correct |
3 |
Correct |
572 ms |
18920 KB |
Output is correct |
4 |
Correct |
486 ms |
17012 KB |
Output is correct |
5 |
Correct |
523 ms |
29560 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
576 ms |
16020 KB |
Output is correct |
2 |
Correct |
660 ms |
18896 KB |
Output is correct |
3 |
Correct |
531 ms |
28380 KB |
Output is correct |
4 |
Correct |
496 ms |
35456 KB |
Output is correct |
5 |
Correct |
514 ms |
30728 KB |
Output is correct |