QOJ.ac
QOJ
| ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
|---|---|---|---|---|---|---|---|---|---|
| #357988 | #5105. Hand of the Free Marked | Doqe | AC ✓ | 12ms | 3928kb | C++20 | 873b | 2024-03-19 16:09:05 | 2024-03-19 16:09:06 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
long double fac(long double m)
{
long double ans=1;
for(int i=1;i<=m;++i)ans=ans*i;
return ans;
}
long double C(long double n,long double m)
{
long double ans=1;
for(int i=n-m+1;i<=n;++i)ans=ans*i;
return ans/fac(m);
}
double ans=0;
int k,m,a[100],z[102];
void dfs(int x,int s)
{
if(x==m+1)
{
if(s)return;
long double p=0,q=1;
for(int i=1;i<=m;++i)if(z[i])
p+=C(a[i],z[i]-1)/C(a[i],z[i]),q*=C(a[i],z[i]);
// cerr<<": ";for(int i=1;i<=m;++i)cerr<<z[i]<<",";cerr<<" : "<<p<<" "<<q<<" "<<1/q<<endl;
ans+=min(p*fac(k-1),1.0L)*q;return;
}
for(int i=0;i<=s&&i<=a[x];++i)
{
z[x]=i;dfs(x+1,s-i);
}
}
int main()
{
cin>>k>>m;long double n=0;
for(int i=1;i<=m;++i)cin>>a[i],n+=a[i];
dfs(1,k);
// cerr<<ans<<" "<<C(n,k)<<endl;
printf("%.12Lf\n",ans/C(n,k));
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3748kb
input:
3 3 2 1 2
output:
1.000000000000
result:
ok answer is 1.0000000000
Test #2:
score: 0
Accepted
time: 1ms
memory: 3832kb
input:
3 4 1 3 1 15
output:
0.771929824561
result:
ok answer is 0.7719298246
Test #3:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
4 1 27
output:
1.000000000000
result:
ok answer is 1.0000000000
Test #4:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
4 3 1 2 28
output:
0.973971078977
result:
ok answer is 0.9739710790
Test #5:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
4 3 1 3 28
output:
0.977224694105
result:
ok answer is 0.9772246941
Test #6:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
5 1 130
output:
0.952380952381
result:
ok answer is 0.9523809524
Test #7:
score: 0
Accepted
time: 0ms
memory: 3748kb
input:
5 3 2 16 200
output:
0.749039212253
result:
ok answer is 0.7490392123
Test #8:
score: 0
Accepted
time: 0ms
memory: 3872kb
input:
4 10 1 2 3 4 1 2 3 4 5 100
output:
0.695499864570
result:
ok answer is 0.6954998646
Test #9:
score: 0
Accepted
time: 1ms
memory: 3744kb
input:
4 10 1 20 3 4 1 2 40 4 5 500
output:
0.243572181584
result:
ok answer is 0.2435721816
Test #10:
score: 0
Accepted
time: 0ms
memory: 3744kb
input:
3 2 152333146 373955979
output:
0.000000022801
result:
ok answer is 0.0000000228
Test #11:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
2 5 263121 2244976 14139709 57922752 200667899
output:
0.000000036332
result:
ok answer is 0.0000000363
Test #12:
score: 0
Accepted
time: 0ms
memory: 3744kb
input:
2 9 8693409 192044828 270204 207696017 4714758 43866747 54411633 159493424 1230327
output:
0.000000026769
result:
ok answer is 0.0000000268
Test #13:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
5 2 368946153 140852305
output:
0.000000470774
result:
ok answer is 0.0000004708
Test #14:
score: 0
Accepted
time: 1ms
memory: 3876kb
input:
6 7 21894756 69672 6998541 209713 14912795 3044993 4001906
output:
0.000098567696
result:
ok answer is 0.0000985677
Test #15:
score: 0
Accepted
time: 1ms
memory: 3824kb
input:
7 8 10393835 5758 42813 141353298 4827 7467584 30955 5450
output:
0.000253100173
result:
ok answer is 0.0002531002
Test #16:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
9 2 510542963 107597808
output:
0.001174101505
result:
ok answer is 0.0011741015
Test #17:
score: 0
Accepted
time: 1ms
memory: 3928kb
input:
9 4 61285845 5006573 857873 164342879
output:
0.006270250004
result:
ok answer is 0.0062702500
Test #18:
score: 0
Accepted
time: 0ms
memory: 3876kb
input:
8 9 150817030 1785608 1799504 185570 765031 91189422 826565 162065 31840039
output:
0.001298918731
result:
ok answer is 0.0012989187
Test #19:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
3 3 303536168 13837393 495002513
output:
0.000000022157
result:
ok answer is 0.0000000222
Test #20:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
3 6 53418609 234629667 123823068 34111351 5030364 122184307
output:
0.000000062806
result:
ok answer is 0.0000000628
Test #21:
score: 0
Accepted
time: 0ms
memory: 3872kb
input:
2 8 367991 173352184 277736038 8490 1609033 14778992 46849 7751
output:
0.000000034195
result:
ok answer is 0.0000000342
Test #22:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
7 2 267723891 27011243
output:
0.000034200199
result:
ok answer is 0.0000342002
Test #23:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
7 4 142414601 5258379 6663526 395635619
output:
0.000036656404
result:
ok answer is 0.0000366564
Test #24:
score: 0
Accepted
time: 1ms
memory: 3928kb
input:
6 10 74360718 12028354 85290 298827 991561 26513484 13713894 241157 664292 69531
output:
0.000055828191
result:
ok answer is 0.0000558282
Test #25:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
8 2 248584022 141021009
output:
0.000206978850
result:
ok answer is 0.0002069789
Test #26:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
8 5 21702603 142314177 4721812 36026710 10702024
output:
0.000935640732
result:
ok answer is 0.0009356407
Test #27:
score: 0
Accepted
time: 3ms
memory: 3836kb
input:
8 10 167779 219592785 89060 377095564 169349 75686 382454 10537801 86060 487630
output:
0.000662412505
result:
ok answer is 0.0006624125
Test #28:
score: 0
Accepted
time: 0ms
memory: 3748kb
input:
2 1 2
output:
1.000000000000
result:
ok answer is 1.0000000000
Test #29:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
2 1 1000000000
output:
0.000000002000
result:
ok answer is 0.0000000020
Test #30:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
2 2 1 1
output:
1.000000000000
result:
ok answer is 1.0000000000
Test #31:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
2 2 1 999999999
output:
0.000000004000
result:
ok answer is 0.0000000040
Test #32:
score: 0
Accepted
time: 0ms
memory: 3872kb
input:
2 2 999999999 1
output:
0.000000004000
result:
ok answer is 0.0000000040
Test #33:
score: 0
Accepted
time: 0ms
memory: 3924kb
input:
2 2 500000000 500000000
output:
0.000000004000
result:
ok answer is 0.0000000040
Test #34:
score: 0
Accepted
time: 0ms
memory: 3916kb
input:
2 3 1 1 1
output:
1.000000000000
result:
ok answer is 1.0000000000
Test #35:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
2 3 1 3 2
output:
0.933333333333
result:
ok answer is 0.9333333333
Test #36:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
2 3 1 999999997 2
output:
0.000000006000
result:
ok answer is 0.0000000060
Test #37:
score: 0
Accepted
time: 1ms
memory: 3732kb
input:
2 10 1 1 1 1 1 1 1 1 1 1
output:
1.000000000000
result:
ok answer is 1.0000000000
Test #38:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
2 10 1 2 1 2 1 2 1 2 1 2
output:
1.000000000000
result:
ok answer is 1.0000000000
Test #39:
score: 0
Accepted
time: 0ms
memory: 3920kb
input:
2 10 1 2 3 4 5 6 7 8 9 10
output:
0.362962962963
result:
ok answer is 0.3629629630
Test #40:
score: 0
Accepted
time: 1ms
memory: 3872kb
input:
2 10 1 1 1 1 1 999999980 2 2 2 2
output:
0.000000020000
result:
ok answer is 0.0000000200
Test #41:
score: 0
Accepted
time: 1ms
memory: 3748kb
input:
3 1 3
output:
1.000000000000
result:
ok answer is 1.0000000000
Test #42:
score: 0
Accepted
time: 1ms
memory: 3880kb
input:
3 1 500000000
output:
0.000000012000
result:
ok answer is 0.0000000120
Test #43:
score: 0
Accepted
time: 1ms
memory: 3820kb
input:
3 2 1 2
output:
1.000000000000
result:
ok answer is 1.0000000000
Test #44:
score: 0
Accepted
time: 1ms
memory: 3924kb
input:
3 2 999999998 1
output:
0.000000009000
result:
ok answer is 0.0000000090
Test #45:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
3 3 3 3 3
output:
1.000000000000
result:
ok answer is 1.0000000000
Test #46:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
3 3 5 12 1
output:
0.796568627451
result:
ok answer is 0.7965686275
Test #47:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
3 10 99999990 99999991 99999992 99999993 99999994 99999995 99999996 99999997 99999998 99999999
output:
0.000000060000
result:
ok answer is 0.0000000600
Test #48:
score: 0
Accepted
time: 1ms
memory: 3840kb
input:
10 1 10
output:
1.000000000000
result:
ok answer is 1.0000000000
Test #49:
score: 0
Accepted
time: 1ms
memory: 3840kb
input:
10 1 500000000
output:
0.007257600131
result:
ok answer is 0.0072576001
Test #50:
score: 0
Accepted
time: 0ms
memory: 3748kb
input:
10 1 1000000000
output:
0.003628800033
result:
ok answer is 0.0036288000
Test #51:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
10 2 5 5
output:
1.000000000000
result:
ok answer is 1.0000000000
Test #52:
score: 0
Accepted
time: 0ms
memory: 3856kb
input:
10 2 10 5
output:
1.000000000000
result:
ok answer is 1.0000000000
Test #53:
score: 0
Accepted
time: 1ms
memory: 3844kb
input:
10 2 999999999 1
output:
0.003628810000
result:
ok answer is 0.0036288100
Test #54:
score: 0
Accepted
time: 0ms
memory: 3872kb
input:
10 2 500000000 500000000
output:
0.007257600065
result:
ok answer is 0.0072576001
Test #55:
score: 0
Accepted
time: 0ms
memory: 3924kb
input:
10 2 499999999 500000001
output:
0.007257600065
result:
ok answer is 0.0072576001
Test #56:
score: 0
Accepted
time: 0ms
memory: 3872kb
input:
10 3 10 10 10
output:
1.000000000000
result:
ok answer is 1.0000000000
Test #57:
score: 0
Accepted
time: 0ms
memory: 3876kb
input:
10 3 11 10 10
output:
1.000000000000
result:
ok answer is 1.0000000000
Test #58:
score: 0
Accepted
time: 1ms
memory: 3844kb
input:
10 3 11 999999970 10
output:
0.003629009379
result:
ok answer is 0.0036290094
Test #59:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
10 3 499999990 2 499999999
output:
0.007257620000
result:
ok answer is 0.0072576200
Test #60:
score: 0
Accepted
time: 0ms
memory: 3856kb
input:
10 3 333333333 333333333 333333333
output:
0.010886400109
result:
ok answer is 0.0108864001
Test #61:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
10 10 1 1 1 1 1 1 1 1 1 1
output:
1.000000000000
result:
ok answer is 1.0000000000
Test #62:
score: 0
Accepted
time: 11ms
memory: 3880kb
input:
10 10 100000000 100000000 100000000 100000000 100000000 100000000 100000000 100000000 100000000 100000000
output:
0.036288000327
result:
ok answer is 0.0362880003
Test #63:
score: 0
Accepted
time: 12ms
memory: 3824kb
input:
10 10 99999999 99999998 99999997 99999996 99999995 99999994 99999993 99999992 99999991 99999990
output:
0.036288002322
result:
ok answer is 0.0362880023
Test #64:
score: 0
Accepted
time: 1ms
memory: 3836kb
input:
10 10 1 2 1 2 1 2 1 2 999999980 3
output:
0.003628949561
result:
ok answer is 0.0036289496
Extra Test:
score: 0
Extra Test Passed