#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();
if(t.s.f != 0)
ans = max(ans, min(dis(t.f, t.s.f), dis(s.top().f, t.s.f)));
else
ans = max(ans, dis(t.f, t.s.f));
if(t.s.s == m) ans = max(ans, 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 |
632 KB |
Output is correct |
3 |
Correct |
4 ms |
504 KB |
Output is correct |
4 |
Correct |
6 ms |
760 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 |
632 KB |
Output is correct |
2 |
Correct |
6 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 |
64 ms |
3044 KB |
Output is correct |
2 |
Correct |
61 ms |
3832 KB |
Output is correct |
3 |
Correct |
51 ms |
2680 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 |
51 ms |
3024 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
90 ms |
7636 KB |
Output is correct |
2 |
Correct |
65 ms |
3560 KB |
Output is correct |
3 |
Correct |
79 ms |
5752 KB |
Output is correct |
4 |
Correct |
91 ms |
4728 KB |
Output is correct |
5 |
Correct |
60 ms |
4088 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
82 ms |
3960 KB |
Output is correct |
2 |
Correct |
79 ms |
4728 KB |
Output is correct |
3 |
Correct |
64 ms |
4856 KB |
Output is correct |
4 |
Correct |
91 ms |
4728 KB |
Output is correct |
5 |
Correct |
74 ms |
4728 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
101 ms |
5112 KB |
Output is correct |
2 |
Correct |
79 ms |
4836 KB |
Output is correct |
3 |
Correct |
64 ms |
4856 KB |
Output is correct |
4 |
Correct |
91 ms |
4728 KB |
Output is correct |
5 |
Correct |
74 ms |
4904 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
510 ms |
41260 KB |
Output is correct |
2 |
Correct |
400 ms |
16792 KB |
Output is correct |
3 |
Correct |
380 ms |
18680 KB |
Output is correct |
4 |
Correct |
446 ms |
18752 KB |
Output is correct |
5 |
Correct |
381 ms |
18296 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
412 ms |
16760 KB |
Output is correct |
2 |
Correct |
468 ms |
19576 KB |
Output is correct |
3 |
Correct |
324 ms |
21076 KB |
Output is correct |
4 |
Correct |
437 ms |
18596 KB |
Output is correct |
5 |
Correct |
382 ms |
18344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
602 ms |
49272 KB |
Output is correct |
2 |
Correct |
480 ms |
19960 KB |
Output is correct |
3 |
Correct |
459 ms |
21496 KB |
Output is correct |
4 |
Correct |
537 ms |
21340 KB |
Output is correct |
5 |
Correct |
446 ms |
21496 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
485 ms |
19648 KB |
Output is correct |
2 |
Correct |
560 ms |
22556 KB |
Output is correct |
3 |
Correct |
369 ms |
23032 KB |
Output is correct |
4 |
Correct |
536 ms |
21372 KB |
Output is correct |
5 |
Correct |
453 ms |
21496 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
705 ms |
57364 KB |
Output is correct |
2 |
Correct |
560 ms |
23356 KB |
Output is correct |
3 |
Correct |
519 ms |
24568 KB |
Output is correct |
4 |
Correct |
622 ms |
24568 KB |
Output is correct |
5 |
Correct |
513 ms |
24516 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
569 ms |
23016 KB |
Output is correct |
2 |
Correct |
652 ms |
25636 KB |
Output is correct |
3 |
Correct |
467 ms |
27684 KB |
Output is correct |
4 |
Correct |
616 ms |
24440 KB |
Output is correct |
5 |
Correct |
532 ms |
24560 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
812 ms |
65388 KB |
Output is correct |
2 |
Correct |
643 ms |
26360 KB |
Output is correct |
3 |
Correct |
586 ms |
27464 KB |
Output is correct |
4 |
Correct |
710 ms |
27512 KB |
Output is correct |
5 |
Incorrect |
597 ms |
27512 KB |
Output isn't correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
647 ms |
26324 KB |
Output is correct |
2 |
Correct |
753 ms |
28664 KB |
Output is correct |
3 |
Correct |
520 ms |
30396 KB |
Output is correct |
4 |
Correct |
710 ms |
27512 KB |
Output is correct |
5 |
Correct |
603 ms |
27640 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
1012 ms |
81640 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
810 ms |
33056 KB |
Output is correct |
2 |
Correct |
929 ms |
34808 KB |
Output is correct |
3 |
Correct |
682 ms |
37368 KB |
Output is correct |
4 |
Correct |
886 ms |
31876 KB |
Output is correct |
5 |
Correct |
764 ms |
33396 KB |
Output is correct |