QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#58291#4994. Graduation GuaranteelmeowdnAC ✓62ms220808kbC++171.1kb2022-10-25 19:12:342022-10-25 19:12:36

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.
  • [2022-10-25 19:12:36]
  • 评测
  • 测评结果:AC
  • 用时:62ms
  • 内存:220808kb
  • [2022-10-25 19:12:34]
  • 提交

answer

#include<bits/stdc++.h>
#define int long long
using namespace std;
#define fi first
#define se second
#define rep(i,a,b) for(int i=(a);i<=(b);i++)
#define per(i,a,b) for(int i=(a);i>=(b);i--)
#define eb emplace_back
#define y1 yylyylyylyyl
typedef pair<int,int> pii;
typedef vector<int> vi;
typedef vector<pii> vp;
typedef unsigned long long ull;
 
long long read() {
    long long res=0, w=1; char c=getchar();
    while(!isdigit(c)) {if(c=='-') w=-1; c=getchar();}
    while(isdigit(c)) {res=res*10+c-48, c=getchar();}
    return res*w;
}

const int N=5009;
int n,m;
double p[N],f[N][N<<1],g[N];

signed main() {
    n=read(), m=read();
    rep(i,1,n) scanf("%lf",&p[i]);
    sort(p+1,p+n+1,greater<double>());
    int base=n;
    f[0][base]=1;
    rep(i,1,n) {
        rep(j,base-i+1,base+i-1) {
            f[i][j-1]+=f[i-1][j]*(1-p[i]);
            f[i][j+1]+=f[i-1][j]*p[i];
        }
        rep(j,base+m,base+i) g[i]+=f[i][j];
    }
    double ans=0;
    rep(i,1,n) ans=max(ans,g[i]);
    printf("%.8lf\n",ans);
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3772kb

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: 3728kb

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: 2ms
memory: 5864kb

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: 0ms
memory: 6168kb

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: 3752kb

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: 48ms
memory: 220764kb

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: 51ms
memory: 220636kb

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: 62ms
memory: 220648kb

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: 32ms
memory: 220656kb

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: 55ms
memory: 220800kb

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: 43ms
memory: 220516kb

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: 52ms
memory: 220608kb

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: 50ms
memory: 220680kb

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: 56ms
memory: 220780kb

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: 44ms
memory: 220780kb

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: 3ms
memory: 5888kb

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: 2ms
memory: 5884kb

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: 61ms
memory: 220660kb

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: 52ms
memory: 220656kb

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: 47ms
memory: 220656kb

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: 60ms
memory: 220616kb

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: 52ms
memory: 220624kb

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: 48ms
memory: 219336kb

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: 52ms
memory: 220808kb

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: 51ms
memory: 220648kb

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: 48ms
memory: 220660kb

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: 48ms
memory: 219388kb

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: 40ms
memory: 220648kb

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: 52ms
memory: 220660kb

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'