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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#50807#958. Lockout vs touristCrysflyAC ✓327ms36528kbC++111.2kb2022-09-29 14:35:182022-09-29 14:35:20

Judging History

This is the latest submission verdict.

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-09-29 14:35:20]
  • Judged
  • Verdict: AC
  • Time: 327ms
  • Memory: 36528kb
  • [2022-09-29 14:35:18]
  • Submitted

answer

#include<bits/stdc++.h>
#define For(i,a,b) for(int i=(a);i<=(b);++i)
#define Rep(i,a,b) for(int i=(a);i>=(b);--i)
//#define int long long 
using namespace std;
inline int read()
{
    char c=getchar();int x=0;bool f=0;
    for(;!isdigit(c);c=getchar())f^=!(c^45);
    for(;isdigit(c);c=getchar())x=(x<<1)+(x<<3)+(c^48);
    if(f)x=-x;return x;
}

#define fi first
#define se second
#define pb push_back
#define mkp make_pair
typedef pair<int,int>pii;
typedef vector<int>vi;

#define maxn 300005
#define inf 0x3f3f3f3f

int n;
double f[1<<22|5];
double wa[33],wb[33];
int a[33],m;

double solve(int s)
{
	if(wb[m-1]>=wa[m-1])return wa[m-1];
	double k=0,b=0;
	k+=1.0/(wa[m-1]-wb[m-1]);
	Rep(i,m-2,0){
		if(k*(wa[i+1]-wa[i])+b>1) return wa[i+1]-(1-b)/k;
		b+=k*(wa[i+1]-wa[i]);
		if(wb[i]>=wa[i])return wa[i];
		k+=1.0/(wa[i]-wb[i]);
	}
	return wa[0]-(1-b)/k;
}

signed main()
{
	n=read();
	For(i,0,n-1)a[i]=read();
	sort(a,a+n);
	int mxs=(1<<n);
	For(s,0,mxs-1){
		if(__builtin_popcount(s)==1)continue;
		m=0;
		For(i,0,n-1)
			if(s>>i&1)
				wa[m]=a[i],wb[m]=f[s^(1<<i)],++m;
		f[s]=solve(m);
	}
	printf("%.10lf\n",f[mxs-1]);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3716kb

input:

2
6 7

output:

3.2307692308

result:

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

Test #2:

score: 0
Accepted
time: 2ms
memory: 3736kb

input:

3
1 1 1

output:

0.8333333333

result:

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

Test #3:

score: 0
Accepted
time: 2ms
memory: 3608kb

input:

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

output:

9.4422713866

result:

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

Test #4:

score: 0
Accepted
time: 0ms
memory: 3732kb

input:

2
1 1000000000

output:

0.9999999990

result:

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

Test #5:

score: 0
Accepted
time: 2ms
memory: 3788kb

input:

5
76 57 68 36 63

output:

63.3539651124

result:

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

Test #6:

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

input:

10
550060 445055 787034 728427 572554 894096 875473 622886 575460 119034

output:

818911.3739286328

result:

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

Test #7:

score: 0
Accepted
time: 4ms
memory: 3984kb

input:

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

output:

9.4986796318

result:

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

Test #8:

score: 0
Accepted
time: 75ms
memory: 11784kb

input:

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

output:

2.9999751984

result:

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

Test #9:

score: 0
Accepted
time: 147ms
memory: 19992kb

input:

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

output:

831669480.2821692228

result:

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

Test #10:

score: 0
Accepted
time: 294ms
memory: 36480kb

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:

899795716.3481485844

result:

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

Test #11:

score: 0
Accepted
time: 281ms
memory: 36504kb

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:

895851.5340571189

result:

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

Test #12:

score: 0
Accepted
time: 305ms
memory: 36432kb

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:

1000020.4421252878

result:

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

Test #13:

score: 0
Accepted
time: 2ms
memory: 3848kb

input:

10
1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000

output:

999999724.4268077612

result:

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

Test #14:

score: 0
Accepted
time: 327ms
memory: 36528kb

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:

1000000000.0000000000

result:

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

Test #15:

score: 0
Accepted
time: 143ms
memory: 20220kb

input:

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

output:

904983051.3139024973

result:

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

Test #16:

score: 0
Accepted
time: 281ms
memory: 36500kb

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:

931516498.4413917065

result:

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

Test #17:

score: 0
Accepted
time: 286ms
memory: 36488kb

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:

872232180.5260175467

result:

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

Test #18:

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

input:

1
1

output:

0.0000000000

result:

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