#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef double ld;
#define all(x) x.begin(), x.end()
#define fast_io ios_base::sync_with_stdio(false); cin.tie(NULL)
#define file(x) freopen(x ".in", "r", stdin); freopen(x ".out", "w", stdout)
#define endl '\n'
#define pb push_back
#define ms(x, y) memset(x, y, sizeof x)
#define out(x) {cout << x << '\n'; return;}
#define ff first
#define ss second
#define sz(x) (int)(x).size()
#define int ll
int n, L;
vector<pair<ld, ld>> a;
bool chk(ld x){
ld mx = 0;
for (int i = 0 ; i < n ; i++){
ld d = sqrt(x*x - a[i].ss*a[i].ss);
ld x = a[i].ff - d, y = a[i].ff + d;
if (x <= mx) mx = max(mx, y);
}
return (mx < L);
}
int32_t main(){
fast_io;
cout << fixed << setprecision(6);
cin >> n >> L;
a.assign(n, {0.0, 0.0});
for (int i = 0 ; i < n ; i++){
ld x, h; cin >> x >> h;
a[i] = {x, h};
}
ld l = 0, r = 1e10, mid;
for (int i = 0 ; i < 60 ; i++){
mid = l + (r-l)/2;
if (chk(mid)) l = mid;
else r = mid;
}
cout << l << endl;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 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 |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 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 |
2 ms |
348 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 |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
348 KB |
Output is correct |
2 |
Correct |
2 ms |
348 KB |
Output is correct |
3 |
Correct |
2 ms |
348 KB |
Output is correct |
4 |
Correct |
3 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
344 KB |
Output is correct |
2 |
Correct |
2 ms |
348 KB |
Output is correct |
3 |
Correct |
2 ms |
344 KB |
Output is correct |
4 |
Correct |
3 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
344 KB |
Output is correct |
2 |
Correct |
2 ms |
348 KB |
Output is correct |
3 |
Correct |
2 ms |
348 KB |
Output is correct |
4 |
Correct |
3 ms |
348 KB |
Output is correct |
5 |
Correct |
3 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
42 ms |
1628 KB |
Output is correct |
2 |
Correct |
41 ms |
1628 KB |
Output is correct |
3 |
Correct |
24 ms |
1116 KB |
Output is correct |
4 |
Correct |
41 ms |
1628 KB |
Output is correct |
5 |
Correct |
31 ms |
1116 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
41 ms |
1628 KB |
Output is correct |
2 |
Correct |
36 ms |
1372 KB |
Output is correct |
3 |
Correct |
43 ms |
1628 KB |
Output is correct |
4 |
Correct |
43 ms |
1628 KB |
Output is correct |
5 |
Correct |
48 ms |
1628 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
35 ms |
1624 KB |
Output is correct |
2 |
Correct |
37 ms |
1628 KB |
Output is correct |
3 |
Correct |
32 ms |
1628 KB |
Output is correct |
4 |
Correct |
50 ms |
1880 KB |
Output is correct |
5 |
Correct |
38 ms |
1624 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
38 ms |
1884 KB |
Output is correct |
2 |
Correct |
40 ms |
1884 KB |
Output is correct |
3 |
Correct |
37 ms |
1880 KB |
Output is correct |
4 |
Correct |
49 ms |
1880 KB |
Output is correct |
5 |
Correct |
54 ms |
1880 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
38 ms |
1880 KB |
Output is correct |
2 |
Correct |
39 ms |
1884 KB |
Output is correct |
3 |
Correct |
36 ms |
1884 KB |
Output is correct |
4 |
Correct |
50 ms |
1884 KB |
Output is correct |
5 |
Correct |
46 ms |
1880 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
174 ms |
8280 KB |
Output is correct |
2 |
Correct |
190 ms |
8280 KB |
Output is correct |
3 |
Correct |
218 ms |
8284 KB |
Output is correct |
4 |
Correct |
259 ms |
8284 KB |
Output is correct |
5 |
Correct |
266 ms |
8280 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
196 ms |
8280 KB |
Output is correct |
2 |
Correct |
291 ms |
8284 KB |
Output is correct |
3 |
Correct |
201 ms |
8284 KB |
Output is correct |
4 |
Correct |
255 ms |
8284 KB |
Output is correct |
5 |
Correct |
239 ms |
8284 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
219 ms |
9820 KB |
Output is correct |
2 |
Correct |
244 ms |
9820 KB |
Output is correct |
3 |
Correct |
251 ms |
9816 KB |
Output is correct |
4 |
Correct |
371 ms |
9820 KB |
Output is correct |
5 |
Correct |
296 ms |
9816 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
239 ms |
9816 KB |
Output is correct |
2 |
Correct |
363 ms |
9820 KB |
Output is correct |
3 |
Correct |
267 ms |
9820 KB |
Output is correct |
4 |
Correct |
329 ms |
9816 KB |
Output is correct |
5 |
Correct |
378 ms |
18544 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
281 ms |
11356 KB |
Output is correct |
2 |
Correct |
313 ms |
11356 KB |
Output is correct |
3 |
Correct |
313 ms |
11608 KB |
Output is correct |
4 |
Correct |
408 ms |
11356 KB |
Output is correct |
5 |
Correct |
372 ms |
20308 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
317 ms |
11352 KB |
Output is correct |
2 |
Correct |
451 ms |
11352 KB |
Output is correct |
3 |
Correct |
310 ms |
11352 KB |
Output is correct |
4 |
Correct |
400 ms |
11356 KB |
Output is correct |
5 |
Correct |
384 ms |
21452 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
327 ms |
12888 KB |
Output is correct |
2 |
Correct |
369 ms |
12888 KB |
Output is correct |
3 |
Correct |
413 ms |
12892 KB |
Output is correct |
4 |
Correct |
525 ms |
12892 KB |
Output is correct |
5 |
Correct |
413 ms |
24096 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
367 ms |
12896 KB |
Output is correct |
2 |
Correct |
502 ms |
12888 KB |
Output is correct |
3 |
Correct |
393 ms |
22316 KB |
Output is correct |
4 |
Correct |
514 ms |
28340 KB |
Output is correct |
5 |
Correct |
463 ms |
24484 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
388 ms |
15964 KB |
Output is correct |
2 |
Correct |
407 ms |
15964 KB |
Output is correct |
3 |
Correct |
436 ms |
15960 KB |
Output is correct |
4 |
Correct |
611 ms |
15964 KB |
Output is correct |
5 |
Correct |
542 ms |
29444 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
394 ms |
15964 KB |
Output is correct |
2 |
Correct |
591 ms |
15964 KB |
Output is correct |
3 |
Correct |
433 ms |
28244 KB |
Output is correct |
4 |
Correct |
566 ms |
35412 KB |
Output is correct |
5 |
Correct |
586 ms |
30804 KB |
Output is correct |