#include<iostream>
#include<vector>
#include<stack>
#include<algorithm>
using namespace std;
typedef long long LL;
const LL MAXN=3e4+10;
const LL INF=1e18;
void swap(LL&a,LL&b)
{
a=a^b;
b=a^b;
a=a^b;
return;
}
struct vect
{
LL x,y;
vect()
{
x=y=0;
}
vect(LL a,LL b)
{
x=a;
y=b;
}
LL operator * (vect v)
{
return x*v.y-y*v.x;
}
}V[MAXN];
struct point
{
LL x,y;
LL x1,y1;
point()
{
x=y=x1=y1=0;
}
point(LL a,LL b)
{
x=a;
y=b;
x1=y1=1;
}
point(LL a,LL b,LL c,LL d)
{
x=a;
y=b;
x1=c;
y1=d;
}
bool operator < (point p)
{
return x1*p.y1==y1*p.x1?(y==p.y?x<p.x:y<p.y):y1*p.x1<x1*p.y1;
}
}P[MAXN];
bool operator > (point a,point b)
{
return b<a;
}
LL ccw(point p,point x,point y)
{
return (x.x-p.x)*(y.y-p.y)-(x.y-p.y)*(y.x-p.x);
}
LL DISQ(point p,point q)
{
return (p.x-q.x)*(p.x-q.x)+(p.y-q.y)*(p.y-q.y);
}
LL N;
LL S[MAXN],csz;
LL xx[MAXN],yy[MAXN],dx[MAXN],dy[MAXN];
LL solv(LL T)
{
LL i,j,maxi=0;
for(i=0;i<N;i++)
{
P[i].x=xx[i]+dx[i]*T;
P[i].y=yy[i]+dy[i]*T;
P[i].x1=P[i].y1=1;
if(P[maxi]>P[i])
maxi=i;
}
if(maxi!=0)
swap(P[0],P[maxi]);
for(i=0;i<N;i++)
{
P[i].x1=P[i].x-P[0].x;
P[i].y1=P[i].y-P[0].y;
}
sort(P+1,P+N);
S[0]=0;
S[1]=1;
csz=2;
for(i=2;i<N;i++)
{
while(csz>1&&ccw(P[S[csz-2]],P[S[csz-1]],P[i])<=0)
csz--;
S[csz++]=i;
}
V[csz-1]=vect(P[S[0]].x-P[S[csz-1]].x,P[S[0]].y-P[S[csz-1]].y);
for(i=1;i<csz;i++)
V[i-1]=vect(P[S[i]].x-P[S[i-1]].x,P[S[i]].y-P[S[i-1]].y);
maxi=0;
for(i=0,j=1;i<N;i++)
{
while(V[i]*V[j]>0)
{
j++;
if(j==csz)
j=0;
}
maxi=max(maxi,DISQ(P[S[i]],P[S[j]]));
maxi=max(maxi,DISQ(P[S[i]],P[S[j==csz-1?0:j+1]]));
}
return maxi;
}
vect TS(LL T)
{
LL s=0,e=T;
LL mid1,mid2;
while(s<e-3)
{
mid1=(s*2+e)/3;
mid2=(s+e*2)/3;
if(solv(mid1)>solv(mid2))
s=mid1;
else
e=mid2;
}
mid2=INF;
for(LL i=s;i<=e;i++)
{
mid1=solv(i);
if(mid2>mid1)
{
s=i;
mid2=mid1;
}
}
return vect(s,mid2);
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
LL T,i;
cin>>N>>T;
for(i=0;i<N;i++)
cin>>xx[i]>>yy[i]>>dx[i]>>dy[i];
vect ans=TS(T);
cout<<ans.x<<'\n'<<ans.y;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
1784 KB |
Output is correct |
2 |
Correct |
4 ms |
1896 KB |
Output is correct |
3 |
Correct |
4 ms |
2016 KB |
Output is correct |
4 |
Correct |
3 ms |
2016 KB |
Output is correct |
5 |
Correct |
4 ms |
2016 KB |
Output is correct |
6 |
Correct |
4 ms |
2108 KB |
Output is correct |
7 |
Correct |
3 ms |
2108 KB |
Output is correct |
8 |
Correct |
4 ms |
2108 KB |
Output is correct |
9 |
Correct |
4 ms |
2136 KB |
Output is correct |
10 |
Correct |
3 ms |
2136 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
1784 KB |
Output is correct |
2 |
Correct |
4 ms |
1896 KB |
Output is correct |
3 |
Correct |
4 ms |
2016 KB |
Output is correct |
4 |
Correct |
3 ms |
2016 KB |
Output is correct |
5 |
Correct |
4 ms |
2016 KB |
Output is correct |
6 |
Correct |
4 ms |
2108 KB |
Output is correct |
7 |
Correct |
3 ms |
2108 KB |
Output is correct |
8 |
Correct |
4 ms |
2108 KB |
Output is correct |
9 |
Correct |
4 ms |
2136 KB |
Output is correct |
10 |
Correct |
3 ms |
2136 KB |
Output is correct |
11 |
Correct |
16 ms |
2236 KB |
Output is correct |
12 |
Correct |
14 ms |
2508 KB |
Output is correct |
13 |
Correct |
11 ms |
2508 KB |
Output is correct |
14 |
Correct |
12 ms |
2508 KB |
Output is correct |
15 |
Correct |
14 ms |
2536 KB |
Output is correct |
16 |
Correct |
8 ms |
2536 KB |
Output is correct |
17 |
Correct |
11 ms |
2536 KB |
Output is correct |
18 |
Correct |
9 ms |
2592 KB |
Output is correct |
19 |
Correct |
10 ms |
2604 KB |
Output is correct |
20 |
Correct |
14 ms |
2604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
90 ms |
4240 KB |
Output is correct |
2 |
Correct |
82 ms |
4772 KB |
Output is correct |
3 |
Correct |
86 ms |
5356 KB |
Output is correct |
4 |
Correct |
66 ms |
6200 KB |
Output is correct |
5 |
Correct |
84 ms |
6640 KB |
Output is correct |
6 |
Correct |
75 ms |
7304 KB |
Output is correct |
7 |
Correct |
62 ms |
7644 KB |
Output is correct |
8 |
Correct |
51 ms |
8100 KB |
Output is correct |
9 |
Correct |
80 ms |
8912 KB |
Output is correct |
10 |
Correct |
94 ms |
9316 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
1784 KB |
Output is correct |
2 |
Correct |
4 ms |
1896 KB |
Output is correct |
3 |
Correct |
4 ms |
2016 KB |
Output is correct |
4 |
Correct |
3 ms |
2016 KB |
Output is correct |
5 |
Correct |
4 ms |
2016 KB |
Output is correct |
6 |
Correct |
4 ms |
2108 KB |
Output is correct |
7 |
Correct |
3 ms |
2108 KB |
Output is correct |
8 |
Correct |
4 ms |
2108 KB |
Output is correct |
9 |
Correct |
4 ms |
2136 KB |
Output is correct |
10 |
Correct |
3 ms |
2136 KB |
Output is correct |
11 |
Correct |
16 ms |
2236 KB |
Output is correct |
12 |
Correct |
14 ms |
2508 KB |
Output is correct |
13 |
Correct |
11 ms |
2508 KB |
Output is correct |
14 |
Correct |
12 ms |
2508 KB |
Output is correct |
15 |
Correct |
14 ms |
2536 KB |
Output is correct |
16 |
Correct |
8 ms |
2536 KB |
Output is correct |
17 |
Correct |
11 ms |
2536 KB |
Output is correct |
18 |
Correct |
9 ms |
2592 KB |
Output is correct |
19 |
Correct |
10 ms |
2604 KB |
Output is correct |
20 |
Correct |
14 ms |
2604 KB |
Output is correct |
21 |
Correct |
90 ms |
4240 KB |
Output is correct |
22 |
Correct |
82 ms |
4772 KB |
Output is correct |
23 |
Correct |
86 ms |
5356 KB |
Output is correct |
24 |
Correct |
66 ms |
6200 KB |
Output is correct |
25 |
Correct |
84 ms |
6640 KB |
Output is correct |
26 |
Correct |
75 ms |
7304 KB |
Output is correct |
27 |
Correct |
62 ms |
7644 KB |
Output is correct |
28 |
Correct |
51 ms |
8100 KB |
Output is correct |
29 |
Correct |
80 ms |
8912 KB |
Output is correct |
30 |
Correct |
94 ms |
9316 KB |
Output is correct |
31 |
Correct |
385 ms |
10012 KB |
Output is correct |
32 |
Correct |
409 ms |
10588 KB |
Output is correct |
33 |
Correct |
351 ms |
10996 KB |
Output is correct |
34 |
Correct |
344 ms |
11732 KB |
Output is correct |
35 |
Correct |
357 ms |
12312 KB |
Output is correct |
36 |
Correct |
422 ms |
13240 KB |
Output is correct |
37 |
Correct |
323 ms |
13596 KB |
Output is correct |
38 |
Correct |
197 ms |
14348 KB |
Output is correct |
39 |
Correct |
255 ms |
14932 KB |
Output is correct |
40 |
Correct |
369 ms |
15624 KB |
Output is correct |
41 |
Correct |
320 ms |
16576 KB |
Output is correct |
42 |
Correct |
340 ms |
17184 KB |
Output is correct |