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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 |
---|---|---|---|---|---|---|---|---|---|
#577180 | #9300. So Many Possibilities... | ship2077 | AC ✓ | 130ms | 58056kb | C++23 | 1.2kb | 2024-09-20 08:51:25 | 2024-09-20 08:51:26 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
constexpr int M=(1<<15)+5;
int n,m,lim,a[M],sum[M];
double ans,c[105][105],dp[M][105],coef[M][105];
int main(){
scanf("%d%d",&n,&m);lim=(1<<n)-1;
for (int i=0;i<n;i++) scanf("%d",&a[i]);
for (int i=0;i<=m;i++)
for (int j=c[i][0]=1;j<=i;j++)
c[i][j]=c[i-1][j]+c[i-1][j-1];
for (int i=dp[0][0]=1;i<=m;i++)
dp[0][i]=dp[0][i-1]/n;
coef[0][0]=1;
for (int sta=1;sta<=lim;sta++){
int low=sta&-sta,p=__builtin_ctz(sta);
int cnt=n-__builtin_popcount(sta);
sum[sta]=sum[sta^low]+a[p];
for (int i=0;i<n;i++) if (sta>>i&1)
for (int j=sum[sta];j<=m;j++)
dp[sta][j]+=dp[sta^1<<i][j-1]/(cnt+1)*c[j-sum[sta^1<<i]-1][a[i]-1];
for (int i=sum[sta]+1;i<=m;i++)
dp[sta][i]+=dp[sta][i-1]/cnt;
for (int i=0;i<a[p];i++)
for (int j=0;i+j<=m;j++)
coef[sta][i+j]+=c[i+j][j]*coef[sta^low][j];
}
for (int sta=1;sta<=lim;sta++) if (sum[sta]<=m)
ans+=__builtin_popcount(sta)*dp[sta][m]*coef[lim^sta][m-sum[sta]];
printf("%.12lf\n",ans);
return 0;
}
这程序好像有点Bug,我给组数据试试?
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 6112kb
input:
2 2 2 2
output:
0.500000000000
result:
ok found '0.5000000000', expected '0.5000000000', error '0'
Test #2:
score: 0
Accepted
time: 1ms
memory: 8160kb
input:
3 3 1 2 3
output:
1.083333333333
result:
ok found '1.0833333333', expected '1.0833333333', error '3.33289e-13'
Test #3:
score: 0
Accepted
time: 0ms
memory: 7932kb
input:
3 100 80 32 38
output:
0.917682017513
result:
ok found '0.9176820175', expected '0.9176820175', error '2.97318e-13'
Test #4:
score: 0
Accepted
time: 1ms
memory: 6208kb
input:
4 100 31 80 40 28
output:
0.389601136717
result:
ok found '0.3896011367', expected '0.3896011367', error '1.47604e-13'
Test #5:
score: 0
Accepted
time: 1ms
memory: 6120kb
input:
8 100 37 42 41 43 52 24 7 21
output:
0.996650548013
result:
ok found '0.9966505480', expected '0.9966505480', error '1.22125e-14'
Test #6:
score: 0
Accepted
time: 1ms
memory: 6488kb
input:
9 100 6 13 4 6 20 13 10 25 25
output:
5.755547655021
result:
ok found '5.7555476550', expected '5.7555476550', error '2.66454e-14'
Test #7:
score: 0
Accepted
time: 0ms
memory: 6828kb
input:
10 10 6 5 6 10 9 6 10 7 1 9
output:
0.653713647886
result:
ok found '0.6537136479', expected '0.6537136479', error '2.56684e-13'
Test #8:
score: 0
Accepted
time: 17ms
memory: 39012kb
input:
15 50 6 5 9 1 3 3 10 19 16 18 10 12 16 14 6
output:
3.038971162172
result:
ok found '3.0389711622', expected '3.0389711622', error '8.43769e-14'
Test #9:
score: 0
Accepted
time: 103ms
memory: 31372kb
input:
15 100 80 42 42 99 93 31 22 48 37 58 77 96 5 87 79
output:
0.803948374562
result:
ok found '0.8039483746', expected '0.8039483746', error '3.99902e-13'
Test #10:
score: 0
Accepted
time: 1ms
memory: 5868kb
input:
3 50 34 30 36
output:
0.000100617103
result:
ok found '0.0001006171', expected '0.0001006171', error '4.148e-13'
Test #11:
score: 0
Accepted
time: 2ms
memory: 6740kb
input:
10 90 10 11 9 10 10 8 11 13 8 9
output:
6.382627579873
result:
ok found '6.3826275799', expected '6.3826275799', error '7.99361e-15'
Test #12:
score: 0
Accepted
time: 6ms
memory: 11292kb
input:
12 100 12 13 10 11 11 14 14 10 7 8 4 8
output:
5.784451171289
result:
ok found '5.7844511713', expected '5.7844511713', error '2.14051e-13'
Test #13:
score: 0
Accepted
time: 28ms
memory: 57304kb
input:
15 100 12 11 12 10 15 12 7 6 12 5 11 7 10 11 9
output:
3.850874013381
result:
ok found '3.8508740134', expected '3.8508740134', error '2.72227e-13'
Test #14:
score: 0
Accepted
time: 41ms
memory: 58056kb
input:
15 100 7 7 6 4 11 8 12 8 5 7 9 8 10 8 15
output:
7.813084239524
result:
ok found '7.8130842395', expected '7.8130842395', error '2.57572e-13'
Test #15:
score: 0
Accepted
time: 2ms
memory: 6744kb
input:
10 95 8 11 6 14 6 5 11 14 10 14
output:
8.138051491019
result:
ok found '8.1380514910', expected '8.1380514910', error '1.77636e-13'
Test #16:
score: 0
Accepted
time: 3ms
memory: 10944kb
input:
12 93 4 8 6 8 12 8 10 6 8 8 13 9
output:
9.120009675931
result:
ok found '9.1200096759', expected '9.1200096759', error '5.15143e-14'
Test #17:
score: 0
Accepted
time: 61ms
memory: 57696kb
input:
15 99 9 5 8 4 9 7 4 6 7 7 5 6 8 8 7
output:
14.000000000000
result:
ok found '14.0000000000', expected '14.0000000000', error '5.32907e-15'
Test #18:
score: 0
Accepted
time: 34ms
memory: 57740kb
input:
15 88 6 3 8 4 5 6 6 5 10 6 4 7 8 3 7
output:
15.000000000000
result:
ok found '15.0000000000', expected '15.0000000000', error '5.32907e-15'
Test #19:
score: 0
Accepted
time: 0ms
memory: 6148kb
input:
5 10 18 68 13 47 14
output:
0.000000000000
result:
ok found '0.0000000000', expected '0.0000000000', error '0'
Test #20:
score: 0
Accepted
time: 0ms
memory: 6736kb
input:
10 80 92 91 100 87 88 88 100 87 94 93
output:
0.000000000000
result:
ok found '0.0000000000', expected '0.0000000000', error '0'
Test #21:
score: 0
Accepted
time: 77ms
memory: 32268kb
input:
15 80 93 87 84 83 91 95 83 84 98 93 88 95 81 92 99
output:
0.000000000000
result:
ok found '0.0000000000', expected '0.0000000000', error '0'
Test #22:
score: 0
Accepted
time: 0ms
memory: 5936kb
input:
5 100 14 89 6 98 11
output:
2.999741338238
result:
ok found '2.9997413382', expected '2.9997413382', error '3.72147e-13'
Test #23:
score: 0
Accepted
time: 2ms
memory: 6836kb
input:
10 100 1 5 4 1 5 4 2 87 3 4
output:
9.000000000000
result:
ok found '9.0000000000', expected '9.0000000000', error '0'
Test #24:
score: 0
Accepted
time: 4ms
memory: 7000kb
input:
10 95 85 89 36 9 18 3 13 23 11 36
output:
2.479363246346
result:
ok found '2.4793632463', expected '2.4793632463', error '1.17684e-13'
Test #25:
score: 0
Accepted
time: 0ms
memory: 12104kb
input:
12 94 1 80 8 83 8 10 5 6 10 12 84 2
output:
7.643512335803
result:
ok found '7.6435123358', expected '7.6435123358', error '1.93623e-13'
Test #26:
score: 0
Accepted
time: 14ms
memory: 11300kb
input:
12 93 81 83 1 1 1 1 1 1 1 1 78 1
output:
8.999999999784
result:
ok found '8.9999999998', expected '8.9999999998', error '8.88178e-15'
Test #27:
score: 0
Accepted
time: 8ms
memory: 15492kb
input:
13 92 5 85 5 76 2 3 5 1 3 74 80 2 2
output:
8.997191721759
result:
ok found '8.9971917218', expected '8.9971917218', error '1.59872e-13'
Test #28:
score: 0
Accepted
time: 55ms
memory: 34604kb
input:
15 91 82 12 8 72 12 6 4 7 3 9 9 78 91 75 90
output:
3.900302178708
result:
ok found '3.9003021787', expected '3.9003021787', error '4.44089e-14'
Test #29:
score: 0
Accepted
time: 31ms
memory: 33300kb
input:
15 90 1 85 7 77 14 5 87 88 7 78 82 7 11 73 79
output:
3.356495973680
result:
ok found '3.3564959737', expected '3.3564959737', error '1.82965e-13'
Test #30:
score: 0
Accepted
time: 0ms
memory: 8992kb
input:
11 85 1 1 1 1 20 4 1 11 55 4 1
output:
9.996884736322
result:
ok found '9.9968847363', expected '9.9968847363', error '1.1191e-13'
Test #31:
score: 0
Accepted
time: 7ms
memory: 12776kb
input:
12 80 5 2 3 2 1 6 2 23 5 1 24 16
output:
9.932851819787
result:
ok found '9.9328518198', expected '9.9328518198', error '3.76588e-13'
Test #32:
score: 0
Accepted
time: 4ms
memory: 34456kb
input:
14 50 14 5 1 10 1 5 2 1 16 6 2 2 7 3
output:
9.351478629602
result:
ok found '9.3514786296', expected '9.3514786296', error '4.86722e-13'
Test #33:
score: 0
Accepted
time: 47ms
memory: 57864kb
input:
15 93 9 1 18 1 2 6 7 13 30 3 1 1 2 1 1
output:
13.944979596803
result:
ok found '13.9449795968', expected '13.9449795968', error '4.83169e-13'
Test #34:
score: 0
Accepted
time: 12ms
memory: 47704kb
input:
15 100 2 5 1 26 9 1 7 34 6 2 20 5 72 3 7
output:
10.819301253602
result:
ok found '10.8193012536', expected '10.8193012536', error '2.57572e-13'
Test #35:
score: 0
Accepted
time: 18ms
memory: 31984kb
input:
15 100 1 8 15 22 29 36 43 50 57 64 71 78 85 92 99
output:
1.416049163981
result:
ok found '1.4160491640', expected '1.4160491640', error '2.1072e-13'
Test #36:
score: 0
Accepted
time: 52ms
memory: 57872kb
input:
15 100 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
output:
9.628757344296
result:
ok found '9.6287573443', expected '9.6287573443', error '9.76996e-14'
Test #37:
score: 0
Accepted
time: 130ms
memory: 31572kb
input:
15 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100
output:
0.000000000000
result:
ok found '0.0000000000', expected '0.0000000000', error '0'
Extra Test:
score: 0
Extra Test Passed