QOJ.ac
QOJ
| ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
|---|---|---|---|---|---|---|---|---|---|
| #589067 | #4994. Graduation Guarantee | ship2077 | AC ✓ | 91ms | 4080kb | C++23 | 569b | 2024-09-25 16:00:53 | 2024-09-25 16:00:53 |
Judging History
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;
}
Details
Tip: Click on the bar to expand more detailed information
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'