QOJ.ac

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
#33202#958. Lockout vs touristWu_RenAC ✓497ms69424kbC++17638b2022-05-29 21:28:562022-05-29 21:28:57

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-05-29 21:28:57]
  • 评测
  • 测评结果:AC
  • 用时:497ms
  • 内存:69424kb
  • [2022-05-29 21:28:56]
  • 提交

answer

#include <bits/stdc++.h>
typedef long double ld;
using namespace std;
int n,m,c[22];
ld f[4194304],b[22],a[22];
ld calc(){
	ld K=1/(a[0]-b[0]),S=0;
	if(a[0]<=b[0]) return a[0];
	for(int i=1;i<m;i++){
		if(K*(a[i-1]-a[i])+S>1) return a[i-1]-(1-S)/K;
		S+=K*(a[i-1]-a[i]);
		if(b[i]<a[i]) K+=1/(a[i]-b[i]);
		else return a[i];
	}
	return a[m-1]-(1-S)/K;
}
int main(){
	scanf("%d",&n);
	for(int i=0;i<n;i++) scanf("%d",&c[i]);
	sort(c,c+n);
	for(int S=1;S<(1<<n);S++){
		m=0;
		for(int i=n-1;i>=0;i--) if((S>>i)&1){
			b[m]=f[S^(1<<i)],a[m++]=c[i];
		}
		f[S]=max(f[S],calc());
	}
	printf("%.18Lf",f[(1<<n)-1]);
}

详细

Test #1:

score: 100
Accepted
time: 2ms
memory: 3688kb

input:

2
6 7

output:

3.230769230769230769

result:

ok found '3.2307692', expected '3.2307692', error '0.0000000'

Test #2:

score: 0
Accepted
time: 2ms
memory: 3756kb

input:

3
1 1 1

output:

0.833333333333333333

result:

ok found '0.8333333', expected '0.8333333', error '0.0000000'

Test #3:

score: 0
Accepted
time: 1ms
memory: 3772kb

input:

11
1 2 3 4 5 6 7 8 9 10 11

output:

9.442271386610331755

result:

ok found '9.4422714', expected '9.4422714', error '0.0000000'

Test #4:

score: 0
Accepted
time: 2ms
memory: 3744kb

input:

2
1 1000000000

output:

0.999999999000000001

result:

ok found '1.0000000', expected '1.0000000', error '0.0000000'

Test #5:

score: 0
Accepted
time: 1ms
memory: 3760kb

input:

5
76 57 68 36 63

output:

63.353965112431497513

result:

ok found '63.3539651', expected '63.3539651', error '0.0000000'

Test #6:

score: 0
Accepted
time: 2ms
memory: 3792kb

input:

10
550060 445055 787034 728427 572554 894096 875473 622886 575460 119034

output:

818911.373928632773640857

result:

ok found '818911.3739286', expected '818911.3739286', error '0.0000000'

Test #7:

score: 0
Accepted
time: 5ms
memory: 4252kb

input:

15
10 8 9 6 9 5 3 9 7 8 7 6 7 10 7

output:

9.498679631760098494

result:

ok found '9.4986796', expected '9.4986796', error '0.0000000'

Test #8:

score: 0
Accepted
time: 105ms
memory: 20588kb

input:

20
3 2 2 1 2 3 1 3 3 2 1 2 3 2 3 2 3 1 3 1

output:

2.999975198412698413

result:

ok found '2.9999752', expected '2.9999752', error '0.0000000'

Test #9:

score: 0
Accepted
time: 183ms
memory: 36512kb

input:

21
608646711 538679781 175667175 596079164 43084965 174585378 46825084 647100103 820432909 254925688 469580725 888475497 802835182 554123188 53822453 849477025 715668397 194908968 407987651 349577139 457598738

output:

831669480.282169205194804817

result:

ok found '831669480.2821692', expected '831669480.2821692', error '0.0000000'

Test #10:

score: 0
Accepted
time: 388ms
memory: 69308kb

input:

22
593316975 268451765 664075355 817013319 325389147 553878522 663160635 289932897 995002446 771863307 252061346 171723220 102306933 722521207 52895206 996540774 335816175 415049181 629862034 371890996 327908946 357122932

output:

899795716.348148638557177037

result:

ok found '899795716.3481486', expected '899795716.3481486', error '0.0000000'

Test #11:

score: 0
Accepted
time: 405ms
memory: 69320kb

input:

22
1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152

output:

895851.534057118986083879

result:

ok found '895851.5340571', expected '895851.5340571', error '0.0000000'

Test #12:

score: 0
Accepted
time: 426ms
memory: 69276kb

input:

22
1000001 1000002 1000003 1000004 1000005 1000006 1000007 1000008 1000009 1000010 1000011 1000012 1000013 1000014 1000015 1000016 1000017 1000018 1000019 1000020 1000021 1000022

output:

1000020.442125287786154786

result:

ok found '1000020.4421253', expected '1000020.4421253', error '0.0000000'

Test #13:

score: 0
Accepted
time: 2ms
memory: 3860kb

input:

10
1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000

output:

999999724.426807760144583881

result:

ok found '999999724.4268078', expected '999999724.4268078', error '0.0000000'

Test #14:

score: 0
Accepted
time: 497ms
memory: 69252kb

input:

22
1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000

output:

1000000000.000000000000000000

result:

ok found '1000000000.0000000', expected '1000000000.0000000', error '0.0000000'

Test #15:

score: 0
Accepted
time: 190ms
memory: 36516kb

input:

21
728645832 499372030 251249515 630474794 602042850 686098859 164334367 88772048 746898743 759695983 264178590 77784010 969248695 194487863 333341710 979132664 389787588 237190234 881432878 265149252 412117176

output:

904983051.313902442227117717

result:

ok found '904983051.3139025', expected '904983051.3139025', error '0.0000000'

Test #16:

score: 0
Accepted
time: 400ms
memory: 69424kb

input:

22
314176712 731128902 493616429 895194945 944147610 264333375 726725941 275896968 22590087 347618504 348534546 434375739 41042380 833655175 812796321 965972943 895005482 106474689 268333939 73317639 692105187 921714965

output:

931516498.441391706524882466

result:

ok found '931516498.4413917', expected '931516498.4413917', error '0.0000000'

Test #17:

score: 0
Accepted
time: 387ms
memory: 69220kb

input:

22
619182033 404890231 483695686 505942949 17974691 191865554 285191465 20725875 768798333 549358594 794203186 500489670 673327262 914017660 189568084 691193705 497008772 813277003 87684441 894142475 811860050 857365145

output:

872232180.526017538213636726

result:

ok found '872232180.5260175', expected '872232180.5260175', error '0.0000000'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

1
1

output:

0.000000000000000000

result:

ok found '0.0000000', expected '0.0000000', error '-0.0000000'