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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#562455 | #7527. Doors of the Wardrobe | ucup-team052# | WA | 2743ms | 18196kb | C++23 | 2.9kb | 2024-09-13 17:46:08 | 2024-09-13 17:46:09 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
using db=long double;
const db eps=1e-12;
const int B=1000;
int sgn(db x)
{
if(x<-eps) return -1;
else if(x>eps) return 1;
else return 0;
}
struct Vec
{
db x,y;
Vec(db a=0,db b=0) {x=a,y=b;}
db norm() {return x*x+y*y;}
db abs() {return sqrt(norm());}
};
Vec operator + (Vec x,Vec y) {return Vec(x.x+y.x,x.y+y.y);}
Vec operator - (Vec x,Vec y) {return Vec(x.x-y.x,x.y-y.y);}
Vec operator * (Vec x,db y) {return Vec(x.x*y,x.y*y);}
db cdot(Vec x,Vec y) {return x.x*y.x+x.y*y.y;}
db cross(Vec x,Vec y) {return x.x*y.y-x.y*y.x;}
int ccw(Vec x,Vec y,Vec z) {return sgn(cross(y-x,z-x));}
vector<Vec> convex(vector<Vec> a)
{
int n=a.size();
int mnx=0;
for(int i=0;i<n;i++) if(sgn(a[i].x-a[mnx].x)==-1||(sgn(a[i].x-a[mnx].x)==0&&sgn(a[i].y-a[mnx].y)==-1)) mnx=i;
swap(a[mnx],a[0]);
sort(a.begin()+1,a.end(),[&](Vec x,Vec y){
return ccw(a[0],x,y)==-1||(ccw(a[0],x,y)==0&&(x-a[0]).norm()<(y-a[0]).norm());
});
vector<int> st; int tp=0;
st.push_back(0),tp++;
for(int i=1;i<n;i++)
{
if(sgn(a[i].x-a[i-1].x)==0&&sgn(a[i].y-a[i-1].y)==0) continue;
while(tp>=2&&ccw(a[st[tp-2]],a[st[tp-1]],a[i])>=0) tp--,st.pop_back();
st.push_back(i),tp++;
}
vector<Vec> ans;
for(int i=tp-1;i>=0;i--) ans.push_back(a[st[i]]);
return ans;
}
struct Seg
{
Vec s,t;
Seg() {}
Seg(Vec a,Vec b) {s=a,t=b;}
Vec point(db p) {return s+(t-s)*p;}
};
Vec proj(Seg l,Vec x)
{
db p=cdot(l.t-l.s,x-l.s)/(l.t-l.s).norm();
return l.point(p);
}
#define N 100005
int n,m;
Vec h[N],d[N];
vector<Vec> bads;
vector<Vec> v;
int findmin(const vector<Vec> &a,auto cmp)
{
int l=0,r=a.size()-1,d=1;
if(cmp(a.back(),a[0])) swap(l,r),d=-1;
for(;(r-l)*d>1;)
{
int mid=(l+r)/2;
if(cmp(a[mid],a[mid-d])&&cmp(a[mid],a[l])) l=mid;
else r=mid;
}
return l;
}
void rebuild()
{
for(auto i:bads) v.push_back(i);
v=convex(v);
// for(auto [x,y]:v) printf("%Lf %Lf\n",x,y);
bads.clear();
}
signed main()
{
#ifdef xay5421
freopen("b.in","r",stdin);
#endif
cin>>n>>m;
for(int i=1;i<=n;i++) scanf("%Lf %Lf",&h[i].x,&h[i].y),scanf("%Lf %Lf",&d[i].x,&d[i].y);
v.resize(m);
for(int i=0;i<m;i++) scanf("%Lf %Lf",&v[i].x,&v[i].y);
v=convex(v);
db ans=0;
for(int i=n;i>=1;i--)
{
if(i%B==0) rebuild();
auto cmp1=[&](Vec x,Vec y){
return cdot(d[i],x-h[i])<cdot(d[i],y-h[i]);
};
Vec L=h[i],R=h[i];
int id1=findmin(v,cmp1);
if(cmp1(v[id1],L)) L=v[id1];
for(auto i:bads) if(cmp1(i,L)) L=i;
auto cmp2=[&](Vec x,Vec y){
return cdot(d[i],x-h[i])>cdot(d[i],y-h[i]);
};
int id2=findmin(v,cmp2);
if(cmp2(v[id2],R)) R=v[id2];
for(auto i:bads) if(cmp2(i,R)) R=i;
Vec A=proj(Seg(h[i],h[i]+d[i]),L);
Vec B=proj(Seg(h[i],h[i]+d[i]),R);
ans+=(B-A).abs();
// printf("%d : %Lf %Lf %Lf %Lf\n",i,A.x,A.y,B.x,B.y);
bads.push_back(A);
bads.push_back(B);
}
printf("%.11Lf\n",ans);
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 10288kb
input:
3 4 -3 3 0.6 -0.3 4 -1 1 1 1 -4 1 0 -2 3 2 3 2 -2 -0.5 -2
output:
20.27523290755
result:
ok answer is 20.2752329075512 (delta 6.0452e-14)
Test #2:
score: 0
Accepted
time: 3ms
memory: 10324kb
input:
5 3 0.5 0.4 1 1 0.5 0.4 3 4 0.5 0.35 1 1 0.4 0.4 1 0 0.5 0.3 0 1 0.5 0.4 0.6 0.4 0.5 0.5
output:
0.85981327522
result:
ok answer is 0.859813275223096 (delta 3.0962e-12)
Test #3:
score: 0
Accepted
time: 0ms
memory: 10032kb
input:
5 3 0.5 0.4 1 1 0.5 0.4 3 4 0.5 0.35 1 1 0.4 0.4 1 0 0.5 0.3 0 1 0.5 0.4 0.5 0.5 0.6 0.4
output:
0.85981327522
result:
ok answer is 0.859813275223096 (delta 3.0962e-12)
Test #4:
score: 0
Accepted
time: 3ms
memory: 10196kb
input:
5 12 0.7 -0.3 0 1 0.5 0 1 1 0.5 0.033333333333333 0 1 0.5 0.033333333333333 1 0 0.5 0.05 1 0 0.0 0 0.1 0 0.2 0 0.3 0 0.4 0 0.5 0 0.5 0.1 0.6 0 0.7 0 0.8 0 0.9 0 1.0 0
output:
3.41746212025
result:
ok answer is 3.41746212024588 (delta 1.2069e-12)
Test #5:
score: 0
Accepted
time: 0ms
memory: 10140kb
input:
5 12 -0.3 0.7 1 0 0 0.5 1 1 0.033333333333333 0.5 1 0 0.033333333333333 0.5 0 1 0.05 0.5 0 1 0 0.6 0 0.4 0.1 0.5 0 0.3 0 0.8 0 0.5 0 0.9 0 1.0 0 0.1 0 0.0 0 0.7 0 0.2
output:
3.41746212025
result:
ok answer is 3.41746212024588 (delta 1.2069e-12)
Test #6:
score: 0
Accepted
time: 2ms
memory: 9992kb
input:
10 12 0 0 1 1 0.6 0.2 0 1 0.4 0.6 -1 0 0.6 0 -1 1 0 0 0 1 0.4 0.5 1 0 0.5 0.3 1 0 0 0.3 1 0 0.3 0.3 1 0 0.3 0.3 0 1 0.2 0.2 0.6 0.2 0.6 0.6 0.2 0.6 0.2 0.2 0.6 0.2 0.6 0.6 0.2 0.6 0.2 0.2 0.6 0.2 0.6 0.6 0.2 0.6
output:
6.09705627485
result:
ok answer is 6.09705627484772 (delta 3.7467e-13)
Test #7:
score: 0
Accepted
time: 0ms
memory: 10060kb
input:
11 3 0.4 0.6 -1 1.2 0.8 -0.1 -1 0.1 0.5 1.05 0 1 0.4 1.0 0 1 0.6 1.0 0 1 0.3 0.9 0 1 0.7 0.9 0 1 0.2 0.7 0 1 0.8 0.7 0 1 0.1 0.4 0 1 0.9 0.4 0 1 0 0 1 0 0.5 -0.1
output:
10.18103677372
result:
ok answer is 10.1810367737206 (delta 6.0718e-14)
Test #8:
score: 0
Accepted
time: 0ms
memory: 10064kb
input:
8 3 -0.762220710020949 0.960848634814740 0.280390347859400 0.959886062419538 -0.543850971093615 0.734414501114893 -0.427256201232584 -0.904130598148465 -0.308587087111148 -0.723868828767586 -0.977369509658100 -0.211539219982217 -0.080679584211341 -0.623872645456952 0.831979117964964 0.55480694594628...
output:
13.02689813640
result:
ok answer is 13.026898136402 (delta 1.5341e-13)
Test #9:
score: 0
Accepted
time: 3ms
memory: 10120kb
input:
9 3 0.898690498337619 -0.179746197104477 0.999614363528218 -0.027769123646145 0.110351463328162 -0.422616723450085 -0.279788827908685 -0.960061566659912 -0.300252996136536 -0.968309581066027 0.854696098517848 -0.519128673045874 0.952829435906291 0.237672663072341 -0.611183161853922 -0.79148919301923...
output:
19.90500280777
result:
ok answer is 19.9050028077737 (delta 1.8509e-13)
Test #10:
score: 0
Accepted
time: 3ms
memory: 10036kb
input:
10 3 0.070342089497671 -0.460264862606530 0.571810294945788 -0.820385876642212 0.788475327551128 -0.311212069608293 0.964101929706117 -0.265532425773089 0.366813150247519 0.189414857841604 0.900950396708540 0.433922092858526 -0.025464690043421 0.481042370982425 0.621108238787538 0.783724795901114 0....
output:
21.33362181246
result:
ok answer is 21.3336218124609 (delta 4.3631e-14)
Test #11:
score: 0
Accepted
time: 0ms
memory: 10036kb
input:
11 3 -0.775122867998075 -0.324462516766419 -0.870185763377592 -0.492723794041812 0.271867294126994 -0.314788596521751 0.875220126295877 -0.483724850019750 0.159838684607629 -0.014674090173325 0.920134803351038 0.391601766673933 -0.208305526915072 0.138678278167128 -0.855854780186333 0.51721619776666...
output:
5.48159239038
result:
ok answer is 5.48159239038213 (delta 3.8774e-13)
Test #12:
score: 0
Accepted
time: 3ms
memory: 10216kb
input:
12 5 0.316035625860380 0.054167102894646 0.415233195457349 -0.909715006686313 0.012033693255599 -0.517127656466508 -0.998047008109908 0.062467348293813 -0.911778006353474 0.434138159295005 -0.826906371022239 0.562339624748987 0.591762739510491 -0.252317701851837 -0.881901192154716 0.471434287336094 ...
output:
20.42383119184
result:
ok answer is 20.4238311918378 (delta 1.0646e-13)
Test #13:
score: 0
Accepted
time: 3ms
memory: 10324kb
input:
15 7 0.383636462970281 0.091301273291054 -0.178083033367321 -0.984015463916443 0.028282065271478 -0.787867919130403 0.750256053487245 -0.661147377069398 0.149903266403460 0.601903906070213 0.428442456521616 0.903569068444534 0.093087745686689 0.006815105251976 0.803797260834196 -0.594903322797447 -0...
output:
5.75042689604
result:
ok answer is 5.75042689603733 (delta 4.6383e-13)
Test #14:
score: 0
Accepted
time: 3ms
memory: 10348kb
input:
100 3 -0.578211107831801 0.287473638423979 0.834386001175380 0.551180552126577 -0.536512988104892 0.460257895201809 -0.429955857196671 -0.902849910484725 0.659448545647913 -0.913615255033808 0.093581854933560 0.995611589138653 -0.796157342487406 0.263458009987518 -0.997872466743782 -0.06519616641091...
output:
104.44401831208
result:
ok answer is 104.444018312083 (delta 3.075e-14)
Test #15:
score: 0
Accepted
time: 3ms
memory: 10208kb
input:
100 100 -0.174467648909083 -0.201801252266503 0.470131387603037 0.882596441410480 -0.472138238030407 -0.453553930266106 0.351835966244485 0.936061671502903 -0.688261644623982 -0.268241883678908 -0.148633790169310 -0.988892307796914 0.380541159594408 0.161158290178969 -0.474254880064852 -0.8803875900...
output:
295.94065105400
result:
ok answer is 295.940651054004 (delta 1.2869e-14)
Test #16:
score: 0
Accepted
time: 0ms
memory: 10048kb
input:
100 5 0.743611279083013 0.006283944783222 0.667348844117210 -0.744745272059799 0.006486241371740 0.143827295110092 -0.880291809849029 0.474432639594622 -0.311493926810460 0.755585693216458 -0.375884911761184 0.926666354795666 0.139232497699456 0.557448352048095 -0.988388963963009 0.151944910793776 0...
output:
107.34246515548
result:
ok answer is 107.342465155483 (delta 2.33e-14)
Test #17:
score: 0
Accepted
time: 22ms
memory: 10240kb
input:
1000 3 0.814193108063829 0.938268846693299 0.189021563160450 -0.981972936826866 -0.894462915658156 0.056567325082831 -0.603914948132540 -0.797048766025060 0.850406232867379 0.328000667703139 0.426841712270211 0.904326352964589 0.409208076792267 0.609529714382619 -0.797872175099292 -0.602826668456468...
output:
2502.70277907739
result:
ok answer is 2502.70277907739 (delta 3.634e-16)
Test #18:
score: 0
Accepted
time: 201ms
memory: 10316kb
input:
10000 3 -0.027344576727362 0.366422341172134 0.380069695570397 0.924957851206759 -0.036905642095206 0.485758207930430 0.688750742833412 -0.724998216719478 0.984393996844049 0.730489810857773 0.719598128519330 -0.694390764218158 0.770266818005228 -0.799441248474411 -0.946212639196676 0.32354542405118...
output:
48234.32776378002
result:
ok answer is 48234.3277637802 (delta 3.0169e-15)
Test #19:
score: 0
Accepted
time: 23ms
memory: 10288kb
input:
1000 1000 0.409735024061885 0.151845763225521 0.773343465013364 0.633987290977606 -0.752839887714774 -0.843860968010812 0.524959030774212 0.851127496917236 0.670481080838583 -0.696163386521161 0.933753290400254 -0.357917298641318 0.444963577857897 -0.976462799285448 0.514989081978322 0.8571967367198...
output:
10299.70926827326
result:
ok answer is 10299.7092682733 (delta 2.6491e-15)
Test #20:
score: 0
Accepted
time: 206ms
memory: 10480kb
input:
10000 10000 -0.450025351735280 -0.090008923269524 -0.722784354286953 0.691073640937052 0.704498372588649 -0.468600464166860 0.981463972996210 0.191646731541381 -0.325206146833855 0.469882180672171 0.992134534816577 0.125176135202735 -0.532144632997687 0.346217231979403 0.813791044230086 -0.581157583...
output:
57702.95169678693
result:
ok answer is 57702.951696787 (delta 1.6392e-15)
Test #21:
score: 0
Accepted
time: 23ms
memory: 10480kb
input:
1000 1000 0.961556216429425 -1.314762670245720 0.920163091307436 -0.946420876792685 0.327847561600822 1.689778414181223 0.489605901837277 0.293585039663264 1.527710134662603 -0.903485255055727 0.674735734675436 -0.748453599212006 -1.193128488735113 0.999735066938836 -0.632026828273573 -0.93181050745...
output:
2014.12457730204
result:
ok answer is 2014.12457730204 (delta 3.3867e-16)
Test #22:
score: 0
Accepted
time: 5ms
memory: 10044kb
input:
300 200 -0.500000000000000 1.000000000000000 1.000000000000000 0.000000000000000 -0.500000000000000 -0.500000000000000 1.000000000000000 0.000000000000000 0.121595097389671 -0.500000000000000 0.000000000000000 -1.000000000000000 -0.235498049472471 0.764501950527529 0.707106781186548 -0.7071067811865...
output:
436.87467504308
result:
ok answer is 436.874675043085 (delta 1.0539e-14)
Test #23:
score: 0
Accepted
time: 0ms
memory: 10252kb
input:
300 200 0.967399888013902 -0.334791316950851 0.310921244942051 0.950435678751427 -0.458253630113238 0.131590550462226 -0.310921244942051 -0.950435678751427 0.015560888789305 -0.024581562690774 -0.452204992813285 0.891914034240261 0.796412381165649 -0.779384447833368 0.891914034240261 0.4522049928132...
output:
437.04624791834
result:
ok answer is 437.046247918338 (delta 3.5117e-15)
Test #24:
score: 0
Accepted
time: 0ms
memory: 10312kb
input:
100 100 -0.199403905909808 0.022355344270012 -0.837983463329530 0.545695625038580 -0.041955209049741 0.123173830866749 0.522771485664286 0.852472858087784 -0.108886336042388 0.148682670553837 -0.185957756356147 0.982557740212242 -0.102620671109980 0.149079785673387 0.096581833909079 0.99532504708701...
output:
83.32605144480
result:
ok answer is 83.3260514448039 (delta 4.6729e-14)
Test #25:
score: 0
Accepted
time: 22ms
memory: 10316kb
input:
1000 10 -0.030267924544199 -0.426227633151606 0.829000748513003 0.559247493481089 -0.204597859638700 0.387349737682089 0.997998678833624 -0.063234777190576 -0.036529678885983 -0.416866144465642 -0.839013778744419 -0.544110171819100 -0.041740249951155 -0.408535174899693 0.854780863223727 0.5189890903...
output:
2656.29810331959
result:
ok answer is 2656.29810331959 (delta 1.3696e-15)
Test #26:
score: -100
Wrong Answer
time: 2743ms
memory: 18196kb
input:
100000 100000 0.287607924171659 0.957748235160822 0.287607924171659 0.957748235160822 -0.587124239805137 0.809496835715397 -0.587124239805137 0.809496835715397 0.235735806381417 -0.971817179097850 0.235735806381417 -0.971817179097850 -0.995463865110344 -0.095140387110710 -0.995463865110344 -0.095140...
output:
199999.99984960153
result:
wrong answer expected 199999.999968388, found 199999.999849602 (delta 5.9393e-10)