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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 Wardrobeucup-team052#WA 2743ms18196kbC++232.9kb2024-09-13 17:46:082024-09-13 17:46:09

Judging History

你现在查看的是最新测评结果

  • [2024-09-13 17:46:09]
  • 评测
  • 测评结果:WA
  • 用时:2743ms
  • 内存:18196kb
  • [2024-09-13 17:46:08]
  • 提交

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)