#include <bits/stdc++.h>
using namespace std;
#define f first
#define s second
typedef long long ll;
const int N = 1e6+5;
int n, m;
pair<long double, long double> p[N];
stack<pair<int, pair<long double, long double>>> s;
long double dis(int i, long double x)
{
long double y = 0;
return hypot((x-p[i].f), (y-p[i].s));
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n >> m;
for(int i=0; i<n; i++) cin >> p[i].f >> p[i].s;
for(int i=0; i<n; i++)
{
if(s.empty()) s.push({i, {0, m}});
else
{
auto t = s.top();
if(p[i].f == p[t.f].f || dis(t.f, t.s.s) < dis(i, t.s.s))
continue;
long double x;
while(!s.empty() && dis(s.top().f, s.top().s.f) >= dis(i, s.top().s.f)) x = s.top().s.f, s.pop();
if(s.empty())
{
s.push({i, {0, m}});
continue;
}
t = s.top();
if(dis(t.f, t.s.s) >= dis(i, t.s.s))
{
long double x1 = p[i].f, x2 = p[t.f].f;
long double y1 = p[i].s, y2 = p[t.f].s;
x = (x1*x1 - x2*x2 + y1*y1-y2*y2)/(2*x1-2*x2);
if(x <= t.s.f) continue;
s.pop();
t.s.s = x;
s.push(t);
}
s.push({i, {x, m}});
}
}
long double ans = 0;
while(!s.empty())
{
auto t = s.top();
s.pop();
ans = max(ans, max(dis(t.f, t.s.f), dis(t.f, t.s.s)));
}
cout << fixed << setprecision(7) << ans << endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
380 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
376 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
2 ms |
376 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
3 ms |
380 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
504 KB |
Output is correct |
2 |
Correct |
7 ms |
636 KB |
Output is correct |
3 |
Correct |
5 ms |
504 KB |
Output is correct |
4 |
Correct |
6 ms |
532 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
5 ms |
504 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
504 KB |
Output is correct |
2 |
Correct |
7 ms |
600 KB |
Output is correct |
3 |
Correct |
5 ms |
504 KB |
Output is correct |
4 |
Correct |
6 ms |
504 KB |
Output is correct |
5 |
Incorrect |
5 ms |
504 KB |
Output isn't correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
64 ms |
2936 KB |
Output is correct |
2 |
Correct |
61 ms |
2876 KB |
Output is correct |
3 |
Correct |
51 ms |
2192 KB |
Output is correct |
4 |
Correct |
63 ms |
2808 KB |
Output is correct |
5 |
Incorrect |
30 ms |
2040 KB |
Output isn't correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
52 ms |
2936 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
90 ms |
7532 KB |
Output is correct |
2 |
Correct |
70 ms |
3000 KB |
Output is correct |
3 |
Correct |
79 ms |
4984 KB |
Output is correct |
4 |
Correct |
91 ms |
3576 KB |
Output is correct |
5 |
Correct |
60 ms |
3192 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
81 ms |
3576 KB |
Output is correct |
2 |
Correct |
80 ms |
3552 KB |
Output is correct |
3 |
Correct |
64 ms |
3936 KB |
Output is correct |
4 |
Correct |
90 ms |
3576 KB |
Output is correct |
5 |
Correct |
73 ms |
3548 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
100 ms |
4856 KB |
Output is correct |
2 |
Correct |
79 ms |
3576 KB |
Output is correct |
3 |
Correct |
64 ms |
4088 KB |
Output is correct |
4 |
Correct |
91 ms |
3576 KB |
Output is correct |
5 |
Correct |
78 ms |
3704 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
502 ms |
40912 KB |
Output is correct |
2 |
Correct |
406 ms |
16376 KB |
Output is correct |
3 |
Correct |
377 ms |
16380 KB |
Output is correct |
4 |
Correct |
440 ms |
16376 KB |
Output is correct |
5 |
Correct |
375 ms |
22776 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
411 ms |
16084 KB |
Output is correct |
2 |
Correct |
472 ms |
17144 KB |
Output is correct |
3 |
Correct |
327 ms |
18700 KB |
Output is correct |
4 |
Correct |
438 ms |
16396 KB |
Output is correct |
5 |
Correct |
383 ms |
23416 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
600 ms |
48892 KB |
Output is correct |
2 |
Correct |
478 ms |
19576 KB |
Output is correct |
3 |
Correct |
475 ms |
28024 KB |
Output is correct |
4 |
Correct |
539 ms |
31080 KB |
Output is correct |
5 |
Correct |
448 ms |
27256 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
484 ms |
19192 KB |
Output is correct |
2 |
Correct |
568 ms |
28240 KB |
Output is correct |
3 |
Correct |
383 ms |
27720 KB |
Output is correct |
4 |
Correct |
535 ms |
30940 KB |
Output is correct |
5 |
Correct |
456 ms |
28076 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
717 ms |
56860 KB |
Output is correct |
2 |
Correct |
556 ms |
33228 KB |
Output is correct |
3 |
Correct |
544 ms |
32440 KB |
Output is correct |
4 |
Correct |
636 ms |
35832 KB |
Output is correct |
5 |
Correct |
510 ms |
31468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
567 ms |
24036 KB |
Output is correct |
2 |
Correct |
652 ms |
32660 KB |
Output is correct |
3 |
Correct |
473 ms |
33948 KB |
Output is correct |
4 |
Correct |
617 ms |
35832 KB |
Output is correct |
5 |
Correct |
530 ms |
32376 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
829 ms |
65220 KB |
Output is correct |
2 |
Correct |
640 ms |
37960 KB |
Output is correct |
3 |
Correct |
604 ms |
37112 KB |
Output is correct |
4 |
Correct |
712 ms |
41032 KB |
Output is correct |
5 |
Incorrect |
601 ms |
36656 KB |
Output isn't correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
649 ms |
28760 KB |
Output is correct |
2 |
Correct |
749 ms |
37368 KB |
Output is correct |
3 |
Correct |
520 ms |
37952 KB |
Output is correct |
4 |
Correct |
753 ms |
41056 KB |
Output is correct |
5 |
Correct |
617 ms |
37112 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
998 ms |
82292 KB |
Output is correct |
2 |
Correct |
802 ms |
47224 KB |
Output is correct |
3 |
Correct |
737 ms |
46356 KB |
Output is correct |
4 |
Correct |
887 ms |
50988 KB |
Output is correct |
5 |
Incorrect |
745 ms |
45304 KB |
Output isn't correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
809 ms |
39268 KB |
Output is correct |
2 |
Correct |
939 ms |
46212 KB |
Output is correct |
3 |
Correct |
682 ms |
47992 KB |
Output is correct |
4 |
Correct |
886 ms |
51064 KB |
Output is correct |
5 |
Correct |
772 ms |
46712 KB |
Output is correct |