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Cod sursa(job #645007)
#include <stdio.h>
short n,k,i,u;
float p,b[30];
int c=1,d=1;
void comb (int x,int m,double p1) {
if (x==k) {
p+=p1;
return;
}
int i;
for (i=m; i<=u+x; i++) comb (x+1,i+1,p1*b[i-1]);
}
int main () {
freopen ("dezastru.in","r",stdin);
freopen ("dezastru.out","w",stdout);
scanf ("%hd%hd",&n,&k);
u=n-k+1;
for (i=1; i<=k; i++) {
c*=i;
d*=i;
}
for (; i<=n; i++) d*=i;
for (i=0; i<n; i++) scanf ("%f",b+i);
comb (0,1,1);
printf ("%.6f\n",c*p/d);
return 0;
}