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
#589067#4994. Graduation Guaranteeship2077AC ✓91ms4080kbC++23569b2024-09-25 16:00:532024-09-25 16:00:53

Judging History

This is the latest submission verdict.

  • [2024-09-25 16:00:53]
  • Judged
  • Verdict: AC
  • Time: 91ms
  • Memory: 4080kb
  • [2024-09-25 16:00:53]
  • Submitted

answer

#include<bits/stdc++.h>
using namespace std;
constexpr int M=5005;int n,k;
double ans,sum,p[M],q[M],dp[M];
int main(){
    scanf("%d%d",&n,&k); dp[0]=1;
    for (int i=1;i<=n;i++) scanf("%lf",&p[i]);
    sort(p+1,p+n+1,greater<double>());
    for (int i=1;i<=n;i++){
        q[i]=1-p[i];
        for (int j=i;~j;j--)
            if (j) dp[j]=dp[j-1]*p[i]+dp[j]*q[i];
            else dp[j]*=q[i];
        sum=0;
        for (int j=i+k+1>>1;j<=n;j++)
            sum+=dp[j];
        ans=max(ans,sum);
    }
    printf("%.12lf\n",ans);
    return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3848kb

input:

3 3
0.5 0.5 0.5

output:

0.125000000000

result:

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

Test #2:

score: 0
Accepted
time: 0ms
memory: 3912kb

input:

4 1
0.9 0.5 0.9 0.9

output:

0.972000000000

result:

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

Test #3:

score: 0
Accepted
time: 0ms
memory: 3972kb

input:

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

output:

0.726170426941

result:

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

Test #4:

score: 0
Accepted
time: 0ms
memory: 3976kb

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:

0.537372370590

result:

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

Test #5:

score: 0
Accepted
time: 0ms
memory: 3924kb

input:

1 1
0.744983

output:

0.744983000000

result:

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

Test #6:

score: 0
Accepted
time: 49ms
memory: 4028kb

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:

1.000000000000

result:

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

Test #7:

score: 0
Accepted
time: 48ms
memory: 4060kb

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:

1.000000000000

result:

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

Test #8:

score: 0
Accepted
time: 44ms
memory: 4024kb

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:

0.999998613546

result:

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

Test #9:

score: 0
Accepted
time: 43ms
memory: 4024kb

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:

0.882358740908

result:

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

Test #10:

score: 0
Accepted
time: 43ms
memory: 4076kb

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:

0.454067801731

result:

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

Test #11:

score: 0
Accepted
time: 43ms
memory: 4024kb

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:

0.358967211448

result:

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

Test #12:

score: 0
Accepted
time: 42ms
memory: 4012kb

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:

0.000443026685

result:

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

Test #13:

score: 0
Accepted
time: 37ms
memory: 4080kb

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:

0.000000000000

result:

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

Test #14:

score: 0
Accepted
time: 35ms
memory: 4024kb

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:

0.000000000000

result:

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

Test #15:

score: 0
Accepted
time: 17ms
memory: 4016kb

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:

0.975078708044

result:

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

Test #16:

score: 0
Accepted
time: 0ms
memory: 3924kb

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:

0.020696884087

result:

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

Test #17:

score: 0
Accepted
time: 0ms
memory: 3912kb

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:

0.144531250000

result:

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

Test #18:

score: 0
Accepted
time: 27ms
memory: 3964kb

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:

1.000000000000

result:

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

Test #19:

score: 0
Accepted
time: 25ms
memory: 4008kb

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:

0.113237345795

result:

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

Test #20:

score: 0
Accepted
time: 79ms
memory: 4080kb

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:

0.000000000000

result:

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

Test #21:

score: 0
Accepted
time: 14ms
memory: 3904kb

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:

0.764776037384

result:

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

Test #22:

score: 0
Accepted
time: 53ms
memory: 4060kb

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:

0.500399858732

result:

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

Test #23:

score: 0
Accepted
time: 26ms
memory: 4008kb

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:

0.188926259618

result:

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

Test #24:

score: 0
Accepted
time: 91ms
memory: 4032kb

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:

0.999976958883

result:

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

Test #25:

score: 0
Accepted
time: 91ms
memory: 4068kb

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:

0.519249666388

result:

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

Test #26:

score: 0
Accepted
time: 89ms
memory: 4072kb

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:

0.000208704270

result:

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

Test #27:

score: 0
Accepted
time: 42ms
memory: 4024kb

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:

0.900000000000

result:

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

Test #28:

score: 0
Accepted
time: 41ms
memory: 4020kb

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:

0.810000000000

result:

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

Test #29:

score: 0
Accepted
time: 41ms
memory: 4076kb

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:

0.497742993365

result:

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