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| #include<cstdio> #include<cstring> #include<algorithm> #include<iostream> #include<queue> #include<map> #include<stack> #include<cmath> #include<set> #include<bitset> #include<complex> #include<cstdlib> #include<assert.h> #define inc(i,l,r) for(int i=l;i<=r;i++) #define dec(i,l,r) for(int i=l;i>=r;i--) #define link(x) for(edge *j=h[x];j;j=j->next) #define mem(a) memset(a,0,sizeof(a)) #define ll long long #define eps 1e-8 #define succ(x) (1<<x) #define lowbit(x) (x&(-x)) #define mid (x+y>>1) #define sqr(x) ((x)*(x)) #define NM 1100005 #define nm 400005 using namespace std; const double pi=acos(-1); const ll inf=998244353; ll read(){ ll x=0,f=1;char ch=getchar(); while(!isdigit(ch)){if(ch=='-')f=-1;ch=getchar();} while(isdigit(ch))x=x*10+ch-'0',ch=getchar(); return f*x; }
int n,tot; double ans,a[NM];
int main(){ while(~scanf("%d",&n)){ inc(i,1,n)scanf("%lf",a+i); tot=succ(n)-1; ans=0; inc(i,1,tot){ int cnt=0;double t=0; inc(j,1,n)if(succ(j-1)&i)t+=a[j],cnt++; t=1/t;if(cnt&1)ans+=t;else ans-=t; } printf("%lf\n",ans); } return 0; }
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