#include <bits/stdc++.h>
using namespace std;
#define int long long
#define pi pair<int,int>
#define vi vector<int>
#define rep(i,x,n) for(int i=x; i<n; ++i)
#define For(i,n) rep(i,0,n)
#define endl "\n"
#define sp ' '
#define pb push_back
#define f first
#define s second
#define sz size()
#define all(x) (x).begin(),(x).end()
const int N = 4e5+10, OO = 1e18, mod = 1e9, mx = 2e6;
void tr(int a, int b){cout << a << sp << b << endl;}
void cmx(double &a, double b){a = max(a,b);}
void cmn(double &a, double b){a = min(a,b);}
int n,l;
bool in(int x){return 0<=x && x<=l;}
vector <pi> inp,v;
bool ok(double m){
double mx = 0;
For(i,n){
auto [x,y] = v[i];
if(y > m) continue;
double d = sqrt(m * m - y * y);
if(x-d <= mx && mx < x+d){
mx = x+d;
}
}
return mx >= l;
}
int32_t main() {
ios::sync_with_stdio(0); cin.tie(0);
cin >> n >> l;
For(i,n){
int x,y; cin >> x >> y;
y = abs(y);
inp.pb({x,y});
}
For(i,n){
int j = i, y = inp[i].s;
while(j < n && inp[i].f == inp[j].f) y = min(y,inp[j].s), j++;
v.pb({inp[i].f, y});
i = j-1;
} inp.clear();
n = v.sz;
double l = 0, r = 1e10;
For(i,60){
double m = (l+r)/2;
if(ok(m)) r = m;
else l = m;
}
cout << fixed << setprecision(4) << r << endl;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
456 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
856 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
544 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
604 KB |
Output is correct |
2 |
Correct |
2 ms |
604 KB |
Output is correct |
3 |
Correct |
1 ms |
604 KB |
Output is correct |
4 |
Correct |
3 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
604 KB |
Output is correct |
2 |
Correct |
2 ms |
604 KB |
Output is correct |
3 |
Correct |
1 ms |
604 KB |
Output is correct |
4 |
Correct |
2 ms |
728 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
604 KB |
Output is correct |
2 |
Correct |
3 ms |
604 KB |
Output is correct |
3 |
Correct |
1 ms |
604 KB |
Output is correct |
4 |
Correct |
2 ms |
820 KB |
Output is correct |
5 |
Correct |
1 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
32 ms |
6612 KB |
Output is correct |
2 |
Correct |
22 ms |
4564 KB |
Output is correct |
3 |
Correct |
16 ms |
3288 KB |
Output is correct |
4 |
Correct |
21 ms |
5844 KB |
Output is correct |
5 |
Correct |
6 ms |
2012 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
11 ms |
2520 KB |
Output is correct |
2 |
Correct |
15 ms |
3796 KB |
Output is correct |
3 |
Correct |
21 ms |
5844 KB |
Output is correct |
4 |
Correct |
23 ms |
6036 KB |
Output is correct |
5 |
Correct |
24 ms |
6356 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
28 ms |
4820 KB |
Output is correct |
2 |
Correct |
25 ms |
3540 KB |
Output is correct |
3 |
Correct |
25 ms |
5588 KB |
Output is correct |
4 |
Correct |
28 ms |
6864 KB |
Output is correct |
5 |
Correct |
15 ms |
3540 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
3540 KB |
Output is correct |
2 |
Correct |
23 ms |
5000 KB |
Output is correct |
3 |
Correct |
14 ms |
3540 KB |
Output is correct |
4 |
Correct |
31 ms |
6868 KB |
Output is correct |
5 |
Correct |
25 ms |
6352 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
35 ms |
5076 KB |
Output is correct |
2 |
Correct |
22 ms |
5060 KB |
Output is correct |
3 |
Correct |
15 ms |
3544 KB |
Output is correct |
4 |
Correct |
29 ms |
6952 KB |
Output is correct |
5 |
Correct |
25 ms |
6352 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
177 ms |
21940 KB |
Output is correct |
2 |
Correct |
70 ms |
8908 KB |
Output is correct |
3 |
Correct |
73 ms |
12992 KB |
Output is correct |
4 |
Correct |
130 ms |
31156 KB |
Output is correct |
5 |
Correct |
117 ms |
27696 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
77 ms |
9924 KB |
Output is correct |
2 |
Correct |
255 ms |
27064 KB |
Output is correct |
3 |
Correct |
77 ms |
17532 KB |
Output is correct |
4 |
Correct |
132 ms |
31156 KB |
Output is correct |
5 |
Correct |
121 ms |
28852 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
194 ms |
35624 KB |
Output is correct |
2 |
Correct |
95 ms |
17588 KB |
Output is correct |
3 |
Correct |
85 ms |
25328 KB |
Output is correct |
4 |
Correct |
175 ms |
48552 KB |
Output is correct |
5 |
Correct |
134 ms |
33344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
124 ms |
18100 KB |
Output is correct |
2 |
Correct |
297 ms |
43772 KB |
Output is correct |
3 |
Correct |
87 ms |
24756 KB |
Output is correct |
4 |
Correct |
211 ms |
48752 KB |
Output is correct |
5 |
Correct |
171 ms |
45468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
232 ms |
37264 KB |
Output is correct |
2 |
Correct |
102 ms |
18780 KB |
Output is correct |
3 |
Correct |
99 ms |
25416 KB |
Output is correct |
4 |
Correct |
227 ms |
51764 KB |
Output is correct |
5 |
Correct |
137 ms |
35556 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
104 ms |
18164 KB |
Output is correct |
2 |
Correct |
309 ms |
48056 KB |
Output is correct |
3 |
Correct |
121 ms |
24504 KB |
Output is correct |
4 |
Correct |
186 ms |
50092 KB |
Output is correct |
5 |
Correct |
177 ms |
47036 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
251 ms |
38700 KB |
Output is correct |
2 |
Correct |
110 ms |
17848 KB |
Output is correct |
3 |
Correct |
124 ms |
26324 KB |
Output is correct |
4 |
Correct |
214 ms |
56272 KB |
Output is correct |
5 |
Correct |
192 ms |
40364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
114 ms |
17596 KB |
Output is correct |
2 |
Correct |
367 ms |
51676 KB |
Output is correct |
3 |
Correct |
117 ms |
26820 KB |
Output is correct |
4 |
Correct |
245 ms |
55980 KB |
Output is correct |
5 |
Correct |
194 ms |
50856 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
308 ms |
40768 KB |
Output is correct |
2 |
Correct |
139 ms |
17080 KB |
Output is correct |
3 |
Correct |
133 ms |
31504 KB |
Output is correct |
4 |
Correct |
280 ms |
61800 KB |
Output is correct |
5 |
Correct |
192 ms |
45376 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
141 ms |
17076 KB |
Output is correct |
2 |
Correct |
419 ms |
54188 KB |
Output is correct |
3 |
Correct |
145 ms |
36112 KB |
Output is correct |
4 |
Correct |
286 ms |
60072 KB |
Output is correct |
5 |
Correct |
257 ms |
57516 KB |
Output is correct |