#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(10) << ans << endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 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 |
504 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 |
744 KB |
Output is correct |
3 |
Correct |
5 ms |
632 KB |
Output is correct |
4 |
Correct |
6 ms |
632 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
9 ms |
504 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
632 KB |
Output is correct |
2 |
Correct |
7 ms |
632 KB |
Output is correct |
3 |
Correct |
5 ms |
504 KB |
Output is correct |
4 |
Correct |
6 ms |
632 KB |
Output is correct |
5 |
Incorrect |
5 ms |
504 KB |
Output isn't correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
65 ms |
3576 KB |
Output is correct |
2 |
Correct |
61 ms |
3832 KB |
Output is correct |
3 |
Correct |
51 ms |
2716 KB |
Output is correct |
4 |
Correct |
63 ms |
3832 KB |
Output is correct |
5 |
Incorrect |
30 ms |
2296 KB |
Output isn't correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
52 ms |
3576 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
91 ms |
8056 KB |
Output is correct |
2 |
Correct |
66 ms |
4088 KB |
Output is correct |
3 |
Correct |
80 ms |
5760 KB |
Output is correct |
4 |
Correct |
91 ms |
5368 KB |
Output is correct |
5 |
Correct |
61 ms |
4208 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
82 ms |
5112 KB |
Output is correct |
2 |
Correct |
79 ms |
4856 KB |
Output is correct |
3 |
Correct |
64 ms |
4856 KB |
Output is correct |
4 |
Correct |
91 ms |
5368 KB |
Output is correct |
5 |
Correct |
74 ms |
4728 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
101 ms |
6264 KB |
Output is correct |
2 |
Correct |
80 ms |
4856 KB |
Output is correct |
3 |
Correct |
64 ms |
4856 KB |
Output is correct |
4 |
Correct |
92 ms |
5424 KB |
Output is correct |
5 |
Correct |
74 ms |
4760 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
499 ms |
43180 KB |
Output is correct |
2 |
Correct |
396 ms |
18424 KB |
Output is correct |
3 |
Correct |
381 ms |
18408 KB |
Output is correct |
4 |
Correct |
444 ms |
18428 KB |
Output is correct |
5 |
Correct |
375 ms |
18424 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
416 ms |
18344 KB |
Output is correct |
2 |
Correct |
471 ms |
19568 KB |
Output is correct |
3 |
Correct |
323 ms |
20692 KB |
Output is correct |
4 |
Correct |
436 ms |
18424 KB |
Output is correct |
5 |
Correct |
391 ms |
18444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
599 ms |
51172 KB |
Output is correct |
2 |
Correct |
477 ms |
21416 KB |
Output is correct |
3 |
Correct |
453 ms |
21648 KB |
Output is correct |
4 |
Correct |
541 ms |
21580 KB |
Output is correct |
5 |
Correct |
444 ms |
21752 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
485 ms |
21508 KB |
Output is correct |
2 |
Correct |
560 ms |
22736 KB |
Output is correct |
3 |
Correct |
370 ms |
23288 KB |
Output is correct |
4 |
Correct |
536 ms |
21676 KB |
Output is correct |
5 |
Correct |
455 ms |
21624 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
712 ms |
59348 KB |
Output is correct |
2 |
Correct |
566 ms |
24740 KB |
Output is correct |
3 |
Correct |
540 ms |
24828 KB |
Output is correct |
4 |
Correct |
621 ms |
24784 KB |
Output is correct |
5 |
Correct |
509 ms |
24748 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
575 ms |
26360 KB |
Output is correct |
2 |
Correct |
672 ms |
25976 KB |
Output is correct |
3 |
Correct |
480 ms |
27788 KB |
Output is correct |
4 |
Correct |
694 ms |
24696 KB |
Output is correct |
5 |
Correct |
532 ms |
24568 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
799 ms |
67364 KB |
Output is correct |
2 |
Correct |
636 ms |
27768 KB |
Output is correct |
3 |
Correct |
597 ms |
27768 KB |
Output is correct |
4 |
Correct |
711 ms |
27600 KB |
Output is correct |
5 |
Incorrect |
619 ms |
27768 KB |
Output isn't correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
654 ms |
29864 KB |
Output is correct |
2 |
Correct |
744 ms |
28864 KB |
Output is correct |
3 |
Correct |
518 ms |
30564 KB |
Output is correct |
4 |
Correct |
716 ms |
27608 KB |
Output is correct |
5 |
Correct |
604 ms |
27488 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
997 ms |
84216 KB |
Output is correct |
2 |
Correct |
806 ms |
33660 KB |
Output is correct |
3 |
Correct |
743 ms |
33656 KB |
Output is correct |
4 |
Correct |
888 ms |
31864 KB |
Output is correct |
5 |
Incorrect |
766 ms |
33656 KB |
Output isn't correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
828 ms |
35320 KB |
Output is correct |
2 |
Correct |
933 ms |
34732 KB |
Output is correct |
3 |
Correct |
682 ms |
37112 KB |
Output is correct |
4 |
Correct |
903 ms |
31880 KB |
Output is correct |
5 |
Correct |
770 ms |
33312 KB |
Output is correct |