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
#360005#4994. Graduation Guaranteecrsfaa#AC ✓52ms395100kbC++14696b2024-03-21 09:13:252024-03-21 09:13:25

Judging History

This is the latest submission verdict.

  • [2024-03-21 09:13:25]
  • Judged
  • Verdict: AC
  • Time: 52ms
  • Memory: 395100kb
  • [2024-03-21 09:13:25]
  • Submitted

answer

#include<bits/stdc++.h>
#define Yukinoshita namespace
#define Yukino std
using Yukinoshita Yukino;
int read()
{
	int s=0,w=1;
	char ch=getchar();
	while(ch<'0'||ch>'9') w=ch=='-'?-1:1,ch=getchar();
	while(ch>='0'&&ch<='9') s=s*10+ch-'0',ch=getchar();
	return s*w;
}
const int mxn=5005;
double dp[mxn][mxn*2];
double a[mxn];
signed main()
{
	int n=read(),k=read(),i,j;
	dp[0][0+n]=1;
	double mx=0;
	for(i=1;i<=n;i++)
		cin>>a[i];
	sort(a+1,a+1+n);
	reverse(a+1,a+1+n);
	for(i=1;i<=n;i++)
	{
		double s=0;
		for(j=-n;j<=n;j++)
		{
			dp[i][j+n]=dp[i-1][j-1+n]*a[i]+dp[i-1][j+1+n]*(1-a[i]);
			if(j>=k) s+=dp[i][j+n]; 
		}
		mx=max(mx,s);
	}
	printf("%.8lf",mx);
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 4048kb

input:

3 3
0.5 0.5 0.5

output:

0.12500000

result:

ok found '0.1250000', expected '0.1250000', error '0.0000000'

Test #2:

score: 0
Accepted
time: 0ms
memory: 4056kb

input:

4 1
0.9 0.5 0.9 0.9

output:

0.97200000

result:

ok found '0.9720000', expected '0.9720000', error '0.0000000'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3956kb

input:

10 5
0.692688 0.899145 0.65621 0.936872 0.879521 0.944595 0.551165 0.661595 0.508139 0.911566

output:

0.72617043

result:

ok found '0.7261704', expected '0.7261704', error '0.0000000'

Test #4:

score: 0
Accepted
time: 2ms
memory: 12192kb

input:

100 47
0.612726 0.62994 0.675499 0.998664 0.779532 0.549285 0.80413 0.701691 0.871286 0.782539 0.677336 0.8622 0.876787 0.574809 0.675061 0.94617 0.516776 0.528521 0.748959 0.503633 0.706856 0.825646 0.682937 0.692507 0.765989 0.860494 0.660668 0.56025 0.719626 0.945801 0.512379 0.803646 0.848648 0....

output:

0.53737237

result:

ok found '0.5373724', expected '0.5373724', error '0.0000000'

Test #5:

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

input:

1 1
0.744983

output:

0.74498300

result:

ok found '0.7449830', expected '0.7449830', error '0.0000000'

Test #6:

score: 0
Accepted
time: 32ms
memory: 395020kb

input:

5000 1
0.506147 0.719663 0.733941 0.962763 0.600348 0.705419 0.834251 0.871054 0.769358 0.846804 0.708091 0.982093 0.53003 0.853035 0.687889 0.621508 0.886268 0.99639 0.769068 0.976249 0.942098 0.797744 0.95618 0.769761 0.54766 0.808601 0.768919 0.510475 0.796282 0.700578 0.95055 0.850628 0.59055 0....

output:

1.00000000

result:

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

Test #7:

score: 0
Accepted
time: 44ms
memory: 395100kb

input:

5000 400
0.949731 0.781106 0.989654 0.915645 0.820348 0.986255 0.556562 0.980361 0.585268 0.619063 0.638805 0.626075 0.712861 0.830454 0.752119 0.586471 0.790363 0.766842 0.728335 0.692244 0.512937 0.783807 0.770433 0.873134 0.700165 0.987424 0.825446 0.565547 0.583478 0.822277 0.670801 0.767487 0.7...

output:

1.00000000

result:

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

Test #8:

score: 0
Accepted
time: 32ms
memory: 395036kb

input:

5000 2210
0.71203 0.679108 0.907887 0.712217 0.893169 0.626399 0.906301 0.959817 0.750885 0.733514 0.798381 0.512897 0.500635 0.886224 0.796957 0.951011 0.733914 0.643075 0.681363 0.910476 0.97669 0.831855 0.579655 0.662137 0.786903 0.847733 0.984589 0.766957 0.535981 0.746778 0.795429 0.830155 0.94...

output:

0.99999861

result:

ok found '0.9999986', expected '0.9999986', error '0.0000000'

Test #9:

score: 0
Accepted
time: 35ms
memory: 395088kb

input:

5000 2435
0.85976 0.825175 0.988123 0.99143 0.946364 0.80865 0.946633 0.500816 0.791339 0.801104 0.595224 0.672078 0.595843 0.562347 0.6636 0.883299 0.717638 0.798594 0.843852 0.516739 0.75418 0.542577 0.708065 0.551775 0.576655 0.778256 0.999522 0.813346 0.690432 0.846349 0.711335 0.899078 0.82188 ...

output:

0.88235874

result:

ok found '0.8823587', expected '0.8823587', error '0.0000000'

Test #10:

score: 0
Accepted
time: 40ms
memory: 394848kb

input:

5000 2500
0.905245 0.789837 0.893132 0.880538 0.959228 0.767463 0.635301 0.788896 0.960618 0.588802 0.555198 0.539172 0.574133 0.898318 0.860345 0.520061 0.787785 0.679539 0.756813 0.617915 0.954852 0.693077 0.542528 0.514414 0.764342 0.836346 0.815288 0.786298 0.83269 0.843336 0.947585 0.897566 0.7...

output:

0.45406780

result:

ok found '0.4540678', expected '0.4540678', error '0.0000000'

Test #11:

score: 0
Accepted
time: 24ms
memory: 394932kb

input:

5000 2511
0.844207 0.714516 0.836117 0.737791 0.630006 0.845518 0.922792 0.545091 0.897151 0.994806 0.641675 0.820565 0.631293 0.524277 0.772035 0.613939 0.552815 0.682716 0.755224 0.92624 0.827741 0.83099 0.625213 0.609891 0.996279 0.991838 0.698857 0.870544 0.530011 0.834654 0.639099 0.855393 0.56...

output:

0.35896721

result:

ok found '0.3589672', expected '0.3589672', error '0.0000000'

Test #12:

score: 0
Accepted
time: 32ms
memory: 394924kb

input:

5000 2675
0.59012 0.755299 0.790643 0.925329 0.725113 0.547689 0.941098 0.656052 0.575288 0.756949 0.716317 0.658672 0.850807 0.500306 0.776437 0.573604 0.927024 0.505189 0.668677 0.688409 0.771328 0.564915 0.710954 0.817811 0.779639 0.640181 0.563585 0.790086 0.776722 0.501666 0.834008 0.672922 0.6...

output:

0.00044303

result:

ok found '0.0004430', expected '0.0004430', error '0.0000000'

Test #13:

score: 0
Accepted
time: 32ms
memory: 394928kb

input:

5000 4191
0.854051 0.667591 0.580349 0.742787 0.538388 0.92076 0.505213 0.751024 0.527905 0.719297 0.890786 0.768011 0.612651 0.511268 0.921473 0.525477 0.935572 0.771655 0.983739 0.976279 0.966472 0.556883 0.957248 0.913558 0.58931 0.575164 0.59759 0.676977 0.673129 0.525216 0.847845 0.746457 0.883...

output:

0.00000000

result:

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

Test #14:

score: 0
Accepted
time: 19ms
memory: 395088kb

input:

5000 5000
0.723988 0.943979 0.822556 0.787549 0.997458 0.981213 0.838612 0.584808 0.826804 0.876347 0.869831 0.777959 0.806646 0.935551 0.682757 0.529446 0.550732 0.614141 0.617399 0.708785 0.894561 0.583515 0.723974 0.697766 0.934301 0.645148 0.697407 0.61308 0.643698 0.677768 0.83191 0.934103 0.77...

output:

0.00000000

result:

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

Test #15:

score: 0
Accepted
time: 16ms
memory: 394924kb

input:

5000 5000
0.999992 0.999998 0.999997 0.999992 0.99999 0.999996 0.999991 0.99999 0.999996 0.999992 0.999999 0.999998 0.99999 0.999991 0.999997 0.999991 0.999992 0.999991 0.999991 0.999996 0.99999 0.999998 0.999998 0.999995 0.999992 1.0 0.999996 0.999994 0.999999 0.999994 0.999993 0.999999 0.999991 0....

output:

0.97507871

result:

ok found '0.9750787', expected '0.9750787', error '0.0000000'

Test #16:

score: 0
Accepted
time: 1ms
memory: 6044kb

input:

20 10
0.500005 0.50001 0.500004 0.5 0.500001 0.500001 0.500003 0.500004 0.500005 0.500008 0.500008 0.500002 0.500004 0.500009 0.500003 0.500004 0.500003 0.500009 0.500008 0.500006

output:

0.02069688

result:

ok found '0.0206969', expected '0.0206969', error '0.0000000'

Test #17:

score: 0
Accepted
time: 1ms
memory: 6096kb

input:

20 16
1.0 1.0 1.0 1.0 0.5 1.0 0.5 1.0 1.0 1.0 1.0 1.0 0.5 1.0 0.5 0.5 0.5 0.5 0.5 1.0

output:

0.14453125

result:

ok found '0.1445312', expected '0.1445312', error '0.0000000'

Test #18:

score: 0
Accepted
time: 52ms
memory: 394932kb

input:

5000 2000
1.0 0.5 1.0 1.0 1.0 1.0 1.0 0.5 1.0 1.0 0.5 1.0 0.5 1.0 1.0 0.5 1.0 0.5 1.0 0.5 0.5 1.0 0.5 0.5 1.0 1.0 0.5 0.5 1.0 0.5 0.5 0.5 0.5 0.5 1.0 0.5 0.5 1.0 0.5 1.0 1.0 1.0 0.5 1.0 0.5 1.0 0.5 0.5 1.0 1.0 1.0 1.0 1.0 1.0 0.5 1.0 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 1.0 1.0 0.5 1.0 1.0 0.5 1.0 1....

output:

1.00000000

result:

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

Test #19:

score: 0
Accepted
time: 35ms
memory: 395096kb

input:

5000 2600
1.0 1.0 0.5 0.5 0.5 1.0 0.5 0.5 0.5 0.5 1.0 0.5 0.5 1.0 1.0 1.0 0.5 0.5 1.0 1.0 0.5 0.5 0.5 0.5 0.5 1.0 1.0 0.5 0.5 1.0 0.5 0.5 1.0 0.5 0.5 0.5 0.5 1.0 0.5 1.0 0.5 1.0 1.0 1.0 1.0 0.5 1.0 0.5 1.0 1.0 1.0 0.5 1.0 1.0 0.5 0.5 0.5 1.0 0.5 1.0 1.0 0.5 0.5 0.5 0.5 0.5 1.0 1.0 1.0 0.5 0.5 0.5 1....

output:

0.11323735

result:

ok found '0.1132374', expected '0.1132373', error '0.0000000'

Test #20:

score: 0
Accepted
time: 32ms
memory: 395044kb

input:

5000 3000
0.7 0.6 0.6 0.6 0.6 0.7 0.7 0.7 0.6 0.7 0.7 0.6 0.6 0.6 0.6 0.6 0.6 0.7 0.7 0.7 0.7 0.7 0.6 0.7 0.7 0.7 0.7 0.7 0.6 0.7 0.6 0.6 0.7 0.6 0.6 0.7 0.7 0.6 0.7 0.7 0.6 0.6 0.7 0.6 0.7 0.6 0.6 0.7 0.6 0.6 0.6 0.6 0.7 0.7 0.6 0.6 0.6 0.7 0.7 0.6 0.7 0.7 0.7 0.7 0.6 0.7 0.7 0.6 0.7 0.6 0.7 0.7 0....

output:

0.00000000

result:

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

Test #21:

score: 0
Accepted
time: 27ms
memory: 394928kb

input:

5000 5000
0.9999 0.9999 0.9999 0.99999 0.99999 0.9999 0.99999 0.99999 0.99999 0.99999 0.9999 0.99999 0.9999 0.99999 0.9999 0.99999 0.9999 0.99999 0.99999 0.9999 0.99999 0.99999 0.99999 0.99999 0.9999 0.9999 0.9999 0.9999 0.99999 0.9999 0.9999 0.99999 0.9999 0.99999 0.99999 0.9999 0.99999 0.9999 0.99...

output:

0.76477604

result:

ok found '0.7647760', expected '0.7647760', error '0.0000000'

Test #22:

score: 0
Accepted
time: 31ms
memory: 395100kb

input:

5000 1
0.50001 0.50001 0.50001 0.50001 0.50001 0.50001 0.50001 0.50001 0.5 0.5 0.50001 0.50001 0.50001 0.5 0.50001 0.5 0.50001 0.50001 0.50001 0.5 0.5 0.5 0.50001 0.5 0.50001 0.5 0.5 0.5 0.50001 0.5 0.5 0.50001 0.50001 0.50001 0.5 0.5 0.5 0.50001 0.50001 0.50001 0.50001 0.50001 0.50001 0.5 0.5 0.500...

output:

0.50039986

result:

ok found '0.5003999', expected '0.5003999', error '0.0000000'

Test #23:

score: 0
Accepted
time: 27ms
memory: 394928kb

input:

5000 2550
0.99999 0.99999 0.99999 0.99999 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.99999 0.99999 0.5 0.99999 0.5 0.99999 0.5 0.5 0.99999 0.99999 0.5 0.99999 0.99999 0.5 0.99999 0.5 0.5 0.5 0.99999 0.99999 0.99999 0.99999 0.5 0.99999 0.5 0.5 0.99999 0.99999 0.5 0.99999 0.99999 0.5 0.5 0.99999 0.5 0.5 0.99999 0....

output:

0.18892626

result:

ok found '0.1889263', expected '0.1889263', error '0.0000000'

Test #24:

score: 0
Accepted
time: 36ms
memory: 395100kb

input:

5000 1000
0.573979 0.66648 0.837479 0.646164 0.82281 0.503116 0.750598 0.506659 0.590989 0.723873 0.814274 0.533182 0.55926 0.500155 0.643449 0.895303 0.953762 0.545179 0.700636 0.614141 0.50281 0.601696 0.89439 0.784236 0.732711 0.612275 0.713909 0.505734 0.781685 0.557303 0.634015 0.809354 0.52173...

output:

0.99997696

result:

ok found '0.9999770', expected '0.9999770', error '0.0000000'

Test #25:

score: 0
Accepted
time: 36ms
memory: 395100kb

input:

5000 1250
0.558686 0.504831 0.794092 0.55769 0.613812 0.51749 0.675135 0.90028 0.643215 0.747141 0.680045 0.763593 0.790229 0.634649 0.54581 0.521091 0.882598 0.939849 0.588177 0.847337 0.608842 0.632905 0.771339 0.659504 0.525063 0.84975 0.503895 0.528513 0.622738 0.534078 0.508869 0.577018 0.53623...

output:

0.51924967

result:

ok found '0.5192497', expected '0.5192497', error '0.0000000'

Test #26:

score: 0
Accepted
time: 28ms
memory: 395044kb

input:

5000 1500
0.566069 0.654367 0.574283 0.530919 0.577292 0.622283 0.569832 0.780864 0.622053 0.522289 0.846109 0.617616 0.598611 0.550527 0.523834 0.55392 0.780419 0.511342 0.548441 0.640521 0.918236 0.856115 0.521631 0.772784 0.582256 0.66865 0.533183 0.797523 0.902415 0.794695 0.512854 0.501768 0.52...

output:

0.00020870

result:

ok found '0.0002087', expected '0.0002087', error '0.0000000'

Test #27:

score: 0
Accepted
time: 39ms
memory: 394932kb

input:

5000 1
0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0...

output:

0.90000000

result:

ok found '0.9000000', expected '0.9000000', error '0.0000000'

Test #28:

score: 0
Accepted
time: 31ms
memory: 395028kb

input:

5000 2
0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0...

output:

0.81000000

result:

ok found '0.8100000', expected '0.8100000', error '0.0000000'

Test #29:

score: 0
Accepted
time: 24ms
memory: 394932kb

input:

5000 3
0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0...

output:

0.49774299

result:

ok found '0.4977430', expected '0.4977430', error '0.0000000'