#include<bits/stdc++.h>
#define x first
#define y second
#define pb push_back
#define eb emplace_back
#define all(a) (a).begin(),(a).end()
#define SZ(a) (int)(a).size()
using namespace std;
typedef long long LL;
typedef pair<LL,LL> PLL;
typedef pair<int,int> PII;
typedef double D;
typedef long double LD;
const int N = 1000007;
PLL tower[N];
bool cmp(PLL a, PLL b){
if(a.x != b.x) return a.x > b.x;
return a.y < b.y;
}
PLL intersect(PLL a, PLL b){
LL A, B;
A = a.y - b.y;
B = b.x - a.x;
if(B < 0) A = -A, B = -B;
return {A, B};
}
vector<PLL> line;
void add(PLL nw){
while(SZ(line)>1){
int a = SZ(line);
if(line[a-1].x == nw.x) return;
PLL tmp1 = intersect(line[a-2], line[a-1]);
PLL tmp2 = intersect(line[a-1], nw);
if(tmp2.x*tmp1.y <= tmp1.x*tmp2.y) line.pop_back();
else break;
}
line.pb(nw);
}
LD calc(LD a, int b){
return a*line[b].x + line[b].y;
}
LL L;
int n;
int main(){
int i,j;
LL a,b;
scanf("%d %lld",&n,&L);
for(i=1;i<=n;i++){
scanf("%lld%lld",&a,&b);
tower[i] = {-a*2, a*a + b*b};
}
sort(tower+1, tower+1+n, cmp);
for(i=1;i<=n;i++) add(tower[i]);
LD ans = 0;
for(i = 0; i < SZ(line)-1; i++){
PLL tmp = intersect(line[i], line[i+1]);
LD tmp2 = (LD)tmp.x/tmp.y;
if(tmp2 < 0 || tmp2 > L) continue;
ans = max(ans, min(calc(tmp2, i), calc(tmp2, i+1)) + tmp2*tmp2);
}
for(i=0; i<SZ(line)-1; i++){
if(calc(0, i) <= calc(0, i+1)) break;
}
ans = max(ans, calc(0, i));
for(i=0; i<SZ(line)-1; i++){
if(calc(L, i) <= calc(L, i+1)) break;
}
ans = max(ans, calc(L, i) + L*L);
printf("%Lf",sqrt(ans));
return 0;
}
/*
2 10
0 0
11 1
3 10
1 0
5 0
10 0
2 10
-5 3
12 2
*/
Compilation message
mobile.cpp: In function 'int main()':
mobile.cpp:52:8: warning: unused variable 'j' [-Wunused-variable]
int i,j;
^
mobile.cpp:54:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d %lld",&n,&L);
~~~~~^~~~~~~~~~~~~~~~~
mobile.cpp:56:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%lld%lld",&a,&b);
~~~~~^~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
256 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 |
256 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
2 ms |
256 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
3 ms |
376 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
3 ms |
376 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
424 KB |
Output is correct |
2 |
Correct |
4 ms |
504 KB |
Output is correct |
3 |
Incorrect |
3 ms |
376 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
376 KB |
Output is correct |
2 |
Correct |
4 ms |
508 KB |
Output is correct |
3 |
Incorrect |
3 ms |
504 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
23 ms |
1656 KB |
Output is correct |
2 |
Correct |
26 ms |
2552 KB |
Output is correct |
3 |
Correct |
17 ms |
1784 KB |
Output is correct |
4 |
Correct |
29 ms |
2396 KB |
Output is correct |
5 |
Incorrect |
15 ms |
1440 KB |
Output isn't correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
24 ms |
1528 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
28 ms |
3824 KB |
Output is correct |
2 |
Correct |
27 ms |
1656 KB |
Output is correct |
3 |
Correct |
28 ms |
4756 KB |
Output is correct |
4 |
Incorrect |
42 ms |
2808 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
34 ms |
1940 KB |
Output is correct |
2 |
Incorrect |
34 ms |
2880 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
37 ms |
2992 KB |
Output is correct |
2 |
Incorrect |
33 ms |
2936 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
166 ms |
16484 KB |
Output is correct |
2 |
Correct |
168 ms |
8156 KB |
Output is correct |
3 |
Correct |
158 ms |
8184 KB |
Output is correct |
4 |
Incorrect |
205 ms |
9492 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
163 ms |
8200 KB |
Output is correct |
2 |
Correct |
160 ms |
9332 KB |
Output is correct |
3 |
Incorrect |
142 ms |
11300 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
198 ms |
26268 KB |
Output is correct |
2 |
Incorrect |
194 ms |
9680 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
194 ms |
9720 KB |
Output is correct |
2 |
Correct |
200 ms |
11064 KB |
Output is correct |
3 |
Incorrect |
169 ms |
12752 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
227 ms |
27792 KB |
Output is correct |
2 |
Incorrect |
231 ms |
11328 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
231 ms |
11512 KB |
Output is correct |
2 |
Correct |
226 ms |
12516 KB |
Output is correct |
3 |
Incorrect |
202 ms |
14316 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
247 ms |
29520 KB |
Output is correct |
2 |
Incorrect |
262 ms |
13008 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
265 ms |
12816 KB |
Output is correct |
2 |
Correct |
257 ms |
14064 KB |
Output is correct |
3 |
Incorrect |
231 ms |
15980 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
306 ms |
32572 KB |
Output is correct |
2 |
Incorrect |
320 ms |
16052 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
327 ms |
16012 KB |
Output is correct |
2 |
Correct |
321 ms |
18104 KB |
Output is correct |
3 |
Incorrect |
289 ms |
21012 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |