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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
#282363#958. Lockout vs touristDualqwqAC ✓733ms36560kbC++201.0kb2023-12-11 21:06:042023-12-11 21:06:05

Judging History

你现在查看的是最新测评结果

  • [2023-12-11 21:06:05]
  • 评测
  • 测评结果:AC
  • 用时:733ms
  • 内存:36560kb
  • [2023-12-11 21:06:04]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define ppc __builtin_popcount
const int N = 25,Sz = 1 << 22;
typedef double db;
int n,a[N];
db f[Sz],b[N];
inline db Solve(int S) {
	db lim = 0;
	vector<int> id2;id2.reserve(n);
	for(int i = 0;i < n;i++) if((S >> i) & 1) {
		if(b[i] >= a[i]) lim = max<db>(lim,a[i]);
		else id2.push_back(i);
	}
		

	db sk = 0,sb = 0;
	for(int t = (int)id2.size() - 1;t >= 0;t--) {
		db L = !t ? 0 : a[id2[t - 1]],R = a[id2[t]];
		sk += 1.0 / (b[id2[t]] - a[id2[t]]);
		sb += (-a[id2[t]]) / (b[id2[t]] - a[id2[t]]);
		
		db x = (1 - sb) / sk;
		x = min(x,R);
		if(x >= L) lim = max(lim,x);
	}
	return lim;
}
int main() {
	// freopen("tmp.in","r",stdin);
	cin >> n;
	for(int i = 0;i < n;i++) cin >> a[i];
	sort(a,a + n);
	for(int S = 0;S < (1 << n);++S) {
		if(ppc(S) <= 1) continue;
		for(int i = 0;i < n;i++)
			if((S >> i) & 1) 
				b[i] = f[S - (1 << i)];
		f[S] = Solve(S);
	}
	printf("%.12lf\n",f[(1 << n) - 1]);
	// cerr << 1.0 * clock() / CLOCKS_PER_SEC << endl;
	return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 1ms
memory: 3792kb

input:

2
6 7

output:

3.230769230769

result:

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

Test #2:

score: 0
Accepted
time: 1ms
memory: 3732kb

input:

3
1 1 1

output:

0.833333333333

result:

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

Test #3:

score: 0
Accepted
time: 1ms
memory: 3752kb

input:

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

output:

9.442271386610

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:

0.999999999000

result:

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

Test #5:

score: 0
Accepted
time: 1ms
memory: 3796kb

input:

5
76 57 68 36 63

output:

63.353965112432

result:

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

Test #6:

score: 0
Accepted
time: 0ms
memory: 3692kb

input:

10
550060 445055 787034 728427 572554 894096 875473 622886 575460 119034

output:

818911.373928632704

result:

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

Test #7:

score: 0
Accepted
time: 5ms
memory: 3876kb

input:

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

output:

9.498679631760

result:

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

Test #8:

score: 0
Accepted
time: 151ms
memory: 12928kb

input:

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

output:

2.999975198413

result:

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

Test #9:

score: 0
Accepted
time: 277ms
memory: 20908kb

input:

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

output:

831669480.282169342041

result:

ok found '831669480.2821693', expected '831669480.2821692', error '0.0000000'

Test #10:

score: 0
Accepted
time: 585ms
memory: 36560kb

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:

899795716.348148703575

result:

ok found '899795716.3481487', expected '899795716.3481486', error '0.0000000'

Test #11:

score: 0
Accepted
time: 580ms
memory: 36500kb

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:

895851.534057118930

result:

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

Test #12:

score: 0
Accepted
time: 613ms
memory: 36492kb

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:

1000020.442125287838

result:

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

Test #13:

score: 0
Accepted
time: 1ms
memory: 3692kb

input:

10
1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000

output:

999999724.426807284355

result:

ok found '999999724.4268073', expected '999999724.4268078', error '0.0000000'

Test #14:

score: 0
Accepted
time: 733ms
memory: 36500kb

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:

1000000000.000000000000

result:

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

Test #15:

score: 0
Accepted
time: 277ms
memory: 21048kb

input:

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

output:

904983051.313902497292

result:

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

Test #16:

score: 0
Accepted
time: 603ms
memory: 36484kb

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:

931516498.441391587257

result:

ok found '931516498.4413916', expected '931516498.4413917', error '0.0000000'

Test #17:

score: 0
Accepted
time: 599ms
memory: 36452kb

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:

872232180.526017546654

result:

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

Test #18:

score: 0
Accepted
time: 1ms
memory: 3684kb

input:

1
1

output:

0.000000000000

result:

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