QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#115242 | #5904. Twirling Towards Freedom | lyx123886a123886 | 49 ✓ | 2635ms | 3840kb | C++14 | 2.7kb | 2023-06-25 11:57:23 | 2023-06-25 11:57:24 |
Judging History
answer
#include<bits/stdc++.h>
#define int long long//与基准判时,值域最大3e16,不会爆long long
using namespace std;
int read() {
char ch=getchar();int res=0,fl=1;
while(ch<'0'||ch>'9'){if(ch=='-') fl=-1;ch=getchar();}
while(ch>='0'&&ch<='9'){res=res*10+ch-'0';ch=getchar();}
return res*fl;
}
const int N=5005;
struct vec{
int x,y;
}a[N][4],p[4];
vec operator +(vec A,vec B){return (vec){A.x+B.x,A.y+B.y};}
vec operator *(vec A,int k){return (vec){A.x*k,A.y*k};}
vec operator *(int k,vec A){return (vec){A.x*k,A.y*k};}
int operator *(vec A,vec B){return A.x*B.x+A.y*B.y;}
double dis(vec A){return sqrt(1.0*A.x*A.x+1.0*A.y*A.y);}//自乘可能爆long long!!要用double
int n,m,test_case=0;
double calc(vec lim) {
for(int k=0;k<4;++k) {
p[k]=a[1][k];//可能不如0,一定要注意!!
for(int i=2;i<=n;++i) p[k]=((p[k]*lim)<(a[i][k]*lim))?a[i][k]:p[k];
}
/* vec ans=(vec){0,0},res=(vec){0,0};
for(int i=1;i<=m;++i) {
res=res+p[(i-1)%4];
if((res*lim)>(ans*lim)) ans=res;
}//!!!我这块求max写错了!!
return dis(ans);*/
vec v[4],ans,base=p[0]+p[1]+p[2]+p[3];
v[0]=(vec){0,0};
ans=v[0];
v[1]=p[0];
v[2]=p[0]+p[1];
v[3]=p[0]+p[1]+p[2];
if(m<4) {
for(int i=0;i<=m;++i) if((v[i]*lim)>(ans*lim)) ans=v[i];
return dis(ans);//
}
else {
for(int i=0;i<4;++i) {
vec tmp=v[i];
if((base*lim)>0) tmp=tmp+(base*((m-i)/4));
if((tmp*lim)>(ans*lim)) ans=tmp;
}
return dis(ans);
}
/* vec base=p[0]+p[1]+p[2]+p[3],ans=(vec){0,0};
ans=ans+(((base*lim)>0)?(base*max((m/4)-1,0ll)):(vec){0,0});
m=m-4*max((m/4)-1,0ll);//把>=8的部分都减4
vec v[8],maxn;
v[0]=(vec){0,0};
maxn=v[0];
for(int i=1;i<=7;++i) {
v[i]=v[i-1]+p[(i-1)%4];
if(m>=i&&(v[i]*(lim))>(maxn*lim)) maxn=v[i];
}
// if(m>=1&&(v0*lim)>(maxn*lim)) maxn=v0;
// if(m>=2&&(v1*lim)>(maxn*lim)) maxn=v1;
// if(m>=3&&(v2*lim)>(maxn*lim)) maxn=v2;
// printf("(%d,%d)(%d,%d)\n",maxn.x,maxn.y,ans.x,ans.y);
return dis(ans+maxn);*/
}
void solve() {
test_case++;
double Ans=0.0;
n=read();m=read();
for(int i=1;i<=n;++i) {
int x=read(),y=read();
a[i][0]=(vec){(x-y),(x+y)};
a[i][1]=(vec){(x+y),-(x-y)};
a[i][2]=(vec){-(x-y),-(x+y)};
a[i][3]=(vec){-(x+y),x-y};
}
// for(int i=1;i<=n;++i) printf("(%lld,%lld)(%lld,%lld)(%lld,%lld)(%lld,%lld)\n",a[i][0].x,a[i][0].y,a[i][1].x,a[i][1].y,a[i][2].x,a[i][2].y,a[i][3].x,a[i][3].y);
for(int i=1;i<=10000;++i) {
int x=(1ll*rand()*rand()-1ll*rand()*rand())%100000,y=(1ll*rand()*rand()-1ll*rand()*rand())%100000;
Ans=max(Ans,calc((vec){x,y}));
}
printf("Case #%lld: %.10lf\n",test_case,Ans);
return ;
}
signed main()
{
//freopen("freedom.in","r",stdin);
//freopen("freedom.out","w",stdout);
int T=read();
while(T--) {
solve();
}
return 0;
}
Details
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Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 116ms
memory: 3708kb
input:
100 4 1 -2 4 1 -2 4 1 0 2 1 4 -5 0 2 5 -1 1 -2 2 10 8 -842 -60 148 -967 327 -600 -546 -346 -196 -267 -833 -156 334 -791 974 -382 -499 -785 519 -657 10 7 444 786 -313 649 -377 954 -872 316 505 714 678 170 40 -971 -290 -649 -824 -797 357 -653 10 9 -384 -28 267 -243 507 -628 -189 -656 373 -879 -115 -81...
output:
Case #1: 6.3245553203 Case #2: 10.0000000000 Case #3: 6.3245553203 Case #4: 8072.6630054772 Case #5: 9582.0846374889 Case #6: 9520.9500576361 Case #7: 3136.8787034248 Case #8: 9405.6161945935 Case #9: 9809.6108995209 Case #10: 8356.3092331483 Case #11: 8863.7475144546 Case #12: 10066.9729313235 Case...
result:
ok correct! (100 test cases)
Subtask #2:
score: 39
Accepted
Test #2:
score: 39
Accepted
time: 2635ms
memory: 3840kb
input:
100 200 59153573 81 -81 -252 252 864 -864 -691 691 -599 599 -520 520 -835 835 334 -334 259 -259 -469 469 374 -374 -36 36 932 -932 -518 518 -882 882 -150 150 -392 392 29 -29 8 -8 -259 259 192 -192 -863 863 -88 88 -219 219 -118 118 485 -485 -953 953 -980 980 -14 14 433 -433 -672 672 352 -352 196 -196 ...
output:
Case #1: 82359120550.7561340332 Case #2: 84510626188.2999267578 Case #3: 70661053401.3009338379 Case #4: 109064878459.4080963135 Case #5: 31887461051.9420623779 Case #6: 44597031797.9429397583 Case #7: 16108038453.3387355804 Case #8: 88820696855.7596588135 Case #9: 38768573735.9652099609 Case #10: 2...
result:
ok correct! (100 test cases)
Extra Test:
score: 0
Extra Test Passed