#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(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;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
380 KB |
Output is correct |
4 |
Correct |
2 ms |
376 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
504 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
376 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
504 KB |
Output is correct |
2 |
Correct |
4 ms |
632 KB |
Output is correct |
3 |
Correct |
3 ms |
504 KB |
Output is correct |
4 |
Correct |
4 ms |
504 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
504 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 |
504 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
540 KB |
Output is correct |
2 |
Correct |
7 ms |
676 KB |
Output is correct |
3 |
Correct |
5 ms |
504 KB |
Output is correct |
4 |
Correct |
6 ms |
504 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
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 |
504 KB |
Output is correct |
5 |
Correct |
5 ms |
504 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
64 ms |
3472 KB |
Output is correct |
2 |
Correct |
61 ms |
3184 KB |
Output is correct |
3 |
Correct |
51 ms |
2552 KB |
Output is correct |
4 |
Correct |
65 ms |
3088 KB |
Output is correct |
5 |
Correct |
34 ms |
2296 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
53 ms |
3448 KB |
Output is correct |
2 |
Correct |
52 ms |
3436 KB |
Output is correct |
3 |
Correct |
60 ms |
3960 KB |
Output is correct |
4 |
Correct |
65 ms |
4088 KB |
Output is correct |
5 |
Correct |
76 ms |
4472 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
91 ms |
8184 KB |
Output is correct |
2 |
Correct |
66 ms |
3636 KB |
Output is correct |
3 |
Correct |
82 ms |
5296 KB |
Output is correct |
4 |
Correct |
92 ms |
4088 KB |
Output is correct |
5 |
Correct |
62 ms |
3528 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
82 ms |
4472 KB |
Output is correct |
2 |
Correct |
80 ms |
4020 KB |
Output is correct |
3 |
Correct |
74 ms |
4316 KB |
Output is correct |
4 |
Correct |
93 ms |
4092 KB |
Output is correct |
5 |
Correct |
73 ms |
3832 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
103 ms |
5796 KB |
Output is correct |
2 |
Correct |
80 ms |
4032 KB |
Output is correct |
3 |
Correct |
75 ms |
4344 KB |
Output is correct |
4 |
Correct |
91 ms |
4132 KB |
Output is correct |
5 |
Correct |
74 ms |
3832 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
527 ms |
41932 KB |
Output is correct |
2 |
Correct |
402 ms |
17168 KB |
Output is correct |
3 |
Correct |
384 ms |
17044 KB |
Output is correct |
4 |
Correct |
441 ms |
16792 KB |
Output is correct |
5 |
Correct |
374 ms |
17044 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
405 ms |
17204 KB |
Output is correct |
2 |
Correct |
467 ms |
17928 KB |
Output is correct |
3 |
Correct |
374 ms |
19220 KB |
Output is correct |
4 |
Correct |
437 ms |
16964 KB |
Output is correct |
5 |
Correct |
379 ms |
16964 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
603 ms |
50016 KB |
Output is correct |
2 |
Correct |
478 ms |
20376 KB |
Output is correct |
3 |
Correct |
458 ms |
20064 KB |
Output is correct |
4 |
Correct |
540 ms |
20088 KB |
Output is correct |
5 |
Correct |
441 ms |
20088 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
485 ms |
20372 KB |
Output is correct |
2 |
Correct |
564 ms |
21240 KB |
Output is correct |
3 |
Correct |
440 ms |
21804 KB |
Output is correct |
4 |
Correct |
534 ms |
20088 KB |
Output is correct |
5 |
Correct |
463 ms |
20216 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
713 ms |
57976 KB |
Output is correct |
2 |
Correct |
561 ms |
23416 KB |
Output is correct |
3 |
Correct |
541 ms |
23288 KB |
Output is correct |
4 |
Correct |
637 ms |
23312 KB |
Output is correct |
5 |
Correct |
509 ms |
23212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
564 ms |
23544 KB |
Output is correct |
2 |
Correct |
653 ms |
24596 KB |
Output is correct |
3 |
Correct |
537 ms |
26328 KB |
Output is correct |
4 |
Correct |
626 ms |
23232 KB |
Output is correct |
5 |
Correct |
526 ms |
23288 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
840 ms |
65996 KB |
Output is correct |
2 |
Correct |
645 ms |
26612 KB |
Output is correct |
3 |
Correct |
616 ms |
26468 KB |
Output is correct |
4 |
Correct |
707 ms |
26444 KB |
Output is correct |
5 |
Correct |
596 ms |
26408 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
648 ms |
26888 KB |
Output is correct |
2 |
Correct |
751 ms |
27640 KB |
Output is correct |
3 |
Correct |
596 ms |
29304 KB |
Output is correct |
4 |
Correct |
706 ms |
26484 KB |
Output is correct |
5 |
Correct |
605 ms |
26900 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
1012 ms |
83824 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
818 ms |
34900 KB |
Output is correct |
2 |
Correct |
937 ms |
34984 KB |
Output is correct |
3 |
Correct |
781 ms |
37500 KB |
Output is correct |
4 |
Correct |
890 ms |
31804 KB |
Output is correct |
5 |
Correct |
781 ms |
33580 KB |
Output is correct |