#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 1000001;
int N,L;
pi v[MX];
ld tmp[MX];
ld perp(pd x, pd y) {
return (y.f*y.f+y.s*y.s-x.f*x.f-x.s*x.s)/(2*y.f-2*x.f);
}
ld dist(pd a, pd b) {
return sqrt(pow(a.f-b.f,2)+pow(a.s-b.s,2));
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> N >> L;
int nex = 0;
F0R(i,N) {
int x,y; cin >> x >> y; y = abs(y);
if (nex && v[nex-1].f == x) {
if (y >= v[nex-1].s) continue;
else nex --;
}
while (nex && tmp[nex-1] >= perp(v[nex-1],{x,y})) nex --;
v[nex] = {x,y};
if (nex) tmp[nex] = perp(v[nex-1],v[nex]);
nex ++;
}
ld ans = 0;
F0R(i,nex) {
ld mn = (i == 0 ? -INF : tmp[i]);
ld mx = (i == nex-1 ? INF : tmp[i+1]);
if (mx < 0 || mn > L) continue;
mn = max(mn,(ld)0), mx = min(mx,(ld)L);
ans = max(ans,dist(v[i],{mn,0}));
ans = max(ans,dist(v[i],{mx,0}));
}
cout << fixed << setprecision(6) << ans;
}
/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( )
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
376 KB |
Output is correct |
2 |
Correct |
4 ms |
500 KB |
Output is correct |
3 |
Correct |
2 ms |
500 KB |
Output is correct |
4 |
Correct |
2 ms |
500 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
500 KB |
Output is correct |
2 |
Correct |
4 ms |
652 KB |
Output is correct |
3 |
Correct |
4 ms |
652 KB |
Output is correct |
4 |
Correct |
2 ms |
652 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
652 KB |
Output is correct |
2 |
Correct |
5 ms |
792 KB |
Output is correct |
3 |
Correct |
4 ms |
792 KB |
Output is correct |
4 |
Correct |
5 ms |
860 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
952 KB |
Output is correct |
2 |
Correct |
7 ms |
952 KB |
Output is correct |
3 |
Correct |
4 ms |
1016 KB |
Output is correct |
4 |
Correct |
6 ms |
1056 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
1128 KB |
Output is correct |
2 |
Correct |
5 ms |
1204 KB |
Output is correct |
3 |
Correct |
5 ms |
1244 KB |
Output is correct |
4 |
Correct |
4 ms |
1284 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
1356 KB |
Output is correct |
2 |
Correct |
5 ms |
1408 KB |
Output is correct |
3 |
Correct |
5 ms |
1480 KB |
Output is correct |
4 |
Correct |
6 ms |
1516 KB |
Output is correct |
5 |
Correct |
5 ms |
1596 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
22 ms |
2532 KB |
Output is correct |
2 |
Correct |
24 ms |
3436 KB |
Output is correct |
3 |
Correct |
17 ms |
4144 KB |
Output is correct |
4 |
Correct |
31 ms |
5280 KB |
Output is correct |
5 |
Correct |
13 ms |
5764 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
18 ms |
6452 KB |
Output is correct |
2 |
Correct |
23 ms |
7196 KB |
Output is correct |
3 |
Correct |
26 ms |
8324 KB |
Output is correct |
4 |
Correct |
24 ms |
9412 KB |
Output is correct |
5 |
Correct |
28 ms |
10868 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
25 ms |
13632 KB |
Output is correct |
2 |
Correct |
40 ms |
13632 KB |
Output is correct |
3 |
Correct |
25 ms |
14568 KB |
Output is correct |
4 |
Correct |
50 ms |
15720 KB |
Output is correct |
5 |
Correct |
27 ms |
16572 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
35 ms |
18264 KB |
Output is correct |
2 |
Correct |
50 ms |
19572 KB |
Output is correct |
3 |
Correct |
26 ms |
20856 KB |
Output is correct |
4 |
Correct |
36 ms |
22540 KB |
Output is correct |
5 |
Correct |
33 ms |
23856 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
48 ms |
26140 KB |
Output is correct |
2 |
Correct |
29 ms |
26756 KB |
Output is correct |
3 |
Correct |
29 ms |
27912 KB |
Output is correct |
4 |
Correct |
57 ms |
29712 KB |
Output is correct |
5 |
Correct |
30 ms |
31096 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
133 ms |
47004 KB |
Output is correct |
2 |
Correct |
141 ms |
47004 KB |
Output is correct |
3 |
Correct |
139 ms |
50348 KB |
Output is correct |
4 |
Correct |
193 ms |
59884 KB |
Output is correct |
5 |
Correct |
175 ms |
66764 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
206 ms |
74880 KB |
Output is correct |
2 |
Correct |
183 ms |
82388 KB |
Output is correct |
3 |
Correct |
134 ms |
88300 KB |
Output is correct |
4 |
Correct |
172 ms |
96752 KB |
Output is correct |
5 |
Correct |
175 ms |
103932 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
140 ms |
123228 KB |
Output is correct |
2 |
Correct |
214 ms |
123228 KB |
Output is correct |
3 |
Correct |
157 ms |
126996 KB |
Output is correct |
4 |
Runtime error |
255 ms |
132096 KB |
Memory limit exceeded: We have a known bug that the memory usage is measured incorrectly (possibly because of Meltdown/Spectre patch), so your solution may be correct. Please submit again. Sorry for the inconvenience. |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
187 ms |
132096 KB |
Memory limit exceeded: We have a known bug that the memory usage is measured incorrectly (possibly because of Meltdown/Spectre patch), so your solution may be correct. Please submit again. Sorry for the inconvenience. |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
191 ms |
132096 KB |
Memory limit exceeded: We have a known bug that the memory usage is measured incorrectly (possibly because of Meltdown/Spectre patch), so your solution may be correct. Please submit again. Sorry for the inconvenience. |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
210 ms |
132096 KB |
Memory limit exceeded: We have a known bug that the memory usage is measured incorrectly (possibly because of Meltdown/Spectre patch), so your solution may be correct. Please submit again. Sorry for the inconvenience. |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
189 ms |
132096 KB |
Memory limit exceeded: We have a known bug that the memory usage is measured incorrectly (possibly because of Meltdown/Spectre patch), so your solution may be correct. Please submit again. Sorry for the inconvenience. |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
211 ms |
132096 KB |
Memory limit exceeded: We have a known bug that the memory usage is measured incorrectly (possibly because of Meltdown/Spectre patch), so your solution may be correct. Please submit again. Sorry for the inconvenience. |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
300 ms |
132096 KB |
Memory limit exceeded: We have a known bug that the memory usage is measured incorrectly (possibly because of Meltdown/Spectre patch), so your solution may be correct. Please submit again. Sorry for the inconvenience. |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
322 ms |
132096 KB |
Memory limit exceeded: We have a known bug that the memory usage is measured incorrectly (possibly because of Meltdown/Spectre patch), so your solution may be correct. Please submit again. Sorry for the inconvenience. |
2 |
Halted |
0 ms |
0 KB |
- |