#pragma GCC optimize("Ofast")
#pragma GCC optimize("inline")
#pragma comment(linker,"/STACK:1024000000,1024000000")
#undef __STRICT_ANSI__
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <string>
#include <cstring>
#include <cctype>
#include <sstream>
#include <cfloat>
#include <complex>
#include <climits>
#include <new>
#include <memory>
#include <cerrno>
#include <cassert>
#include <ctime>
#include <set>
#include <map>
#include <list>
#include <queue>
#include <deque>
#include <stack>
#include <vector>
#include <bitset>
#include <utility>
#include <iterator>
#include <iostream>
#include <fstream>
#include <iomanip>
#include <numeric>
#include <algorithm>
#include <functional>
#include <unordered_map>
#include <unordered_set>
#include <streambuf>
#include <cfenv>
#include <tuple>
#include <cstdint>
#include <random>
#include <regex>
#define lc c[0]
#define rc c[1]
#define fir first
#define sec second
#define lson x<<1
#define rson x<<1|1
#define PB push_back
#define PF push_front
#define MP make_pair
#define MT make_tuple
#define EB emplace_back
#define Lson l,m,lson
#define Rson m+1,r,rson
#define LB lower_bound
#define UB upper_bound
#define npos string::npos
#define FF fflush(stdout)
#define PQ priority_queue
#define rint register int
#define sqr(X) ((X)*(X))
#define cbr(X) ((X)*(X)*(X))
#define LBT(X) ((X)&(-(X)))
#define SZ(X) (int)(X).size()
#define ALL(X) (X).begin(),(X).end()
#define INS(X) inserter((X),(X).begin())
#define CPY(X,Y) memcpy((X),(Y),sizeof((Y)))
#define MEM(X,Y) memset((X),(Y),sizeof((X)))
#define POS(X,Y,Z) lower_bound((X),(Y),(Z))-(X)+1
#define SC(X) while(scanf("%s",(X)),!strlen((X)))
#define SU(X,Y,Z) sort((X),(Y)),(Z)=unique((X),(Y))-(X)
#define NUM(X,Y,L,R) UB((X),(Y),(R))-LB((X),(Y),(L))
#define INF 0x3f3f3f3f
#define NNF 0xc0c0c0c0
#define INF64 0x3f3f3f3f3f3f3f3f
#define NNF64 0xc0c0c0c0c0c0c0c0
#define ALP 0.75
#define P 131
using namespace std;
typedef long long LL;
typedef long double LD;
typedef unsigned int UI;
typedef unsigned long long ULL;
typedef pair<LL,LL> PLL;
typedef pair<int,LL> PIL;
typedef pair<LL,int> PLI;
typedef pair<int,int> PII;
typedef pair<char,int> PCI;
typedef pair<int,string> PIS;
typedef pair<string,int> PSI;
typedef pair<double,int> PDI;
typedef pair<double,double> PDD;
typedef pair<string,string> PSS;
typedef tuple<LL,LL,LL> PLLL;
typedef tuple<LL,LL,int> PLLI;
typedef tuple<int,LL,LL> PILL;
typedef tuple<LL,int,int> PLII;
typedef tuple<int,int,LL> PIIL;
typedef tuple<int,int,int> PIII;
typedef tuple<LL,LL,LL,LL> PLLLL;
typedef tuple<int,int,int,int> PIIII;
typedef tuple<double,double,int> PDDI;
typedef tuple<double,double,double> PDDD;
typedef tuple<double,double,double,int> PDDDI;
typedef set<LL> SL;
typedef set<int> SI;
typedef set<PII> SPII;
typedef set<PIL> SPIL;
typedef set<PLI> SPLI;
typedef set<PLL> SPLL;
typedef set<PIII> SPIII;
typedef set<PLLL> SPLLL;
typedef set<string> SS;
typedef queue<int> QI;
typedef queue<PII> QPII;
typedef queue<PIL> QPIL;
typedef queue<PLI> QPLI;
typedef queue<PLL> QPLL;
typedef deque<int> DI;
typedef deque<PII> DPII;
typedef deque<PIL> DPIL;
typedef deque<PLI> DPLI;
typedef deque<PLL> DPLL;
typedef complex<LL> CL;
typedef complex<int> CI;
typedef complex<double> CD;
typedef map<LL,LL> MLL;
typedef map<int,LL> MIL;
typedef map<LL,int> MLI;
typedef map<int,int> MII;
typedef map<PII,int> MPIII;
typedef map<PLL,int> MPLLI;
typedef map<int,double> MID;
typedef map<string,int> MSI;
typedef vector<LL> VL;
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<VL> VVL;
typedef vector<PII> VPII;
typedef vector<PIL> VPIL;
typedef vector<PLI> VPLI;
typedef vector<PLL> VPLL;
typedef vector<string> VS;
typedef vector<PIII> VPIII;
typedef vector<PIIL> VPIIL;
typedef vector<PILL> VPILL;
typedef vector<PLLL> VPLLL;
typedef vector<PLII> VPLII;
typedef vector<PLLI> VPLLI;
typedef vector<PIIII> VPIIII;
typedef vector<PLLLL> VPLLLL;
template<class T> inline T gcd(T x,T y) {return y?gcd(y,x%y):x;}
template<class T> inline T lcm(T x,T y) {return x/gcd(x,y)*y;}
template<class T> inline void adm(T &x,T y,T z) {x=x+y;if(x>=z)x=x-z;}
template<class T> inline void adj(T &x,T y) {if(x>=y||x<=-y)x=x%y;if(x<0)x=x+y;}
template<class T> inline T qpow(T x,LL y,T z) {for(;y;y>>=1,x=x*x)if(y&1)z=z*x;return z;}
template<class T> inline T mpow(LL w,T x,LL y,T z) {for(;y;y>>=1,x=x*x,x=x%w)if(y&1)z=z*x,z=z%w;return z;}
template<class T> inline T exgcd(T a,T b,T &x,T &y) {T t=a;b?(t=exgcd(b,a%b,y,x),y=y-(a/b)*x):(x=1,y=0);return t;}
const double EPS = 1e-9;
const LL MOD = 1000000007LL;
const int M = 5000005;
const int N = 3005;
int n;
double ans,f[N][N],a[N];

double dp(int x,int y)
{
    if (f[x][y]+EPS>=0.0) return f[x][y];
    if (!x) return (y ? 0.0 : 1.0);
    f[x][y]=dp(x-1,y)*(1.0-a[x]);
    if (y) f[x][y]+=dp(x-1,y-1)*a[x];
    return f[x][y];
}

int main()
{
    scanf("%d",&n);
    for (int i=1;i<=n;i++) scanf("%lf",&a[i]);
    for (int i=0;i<=n;i++)
    for (int j=0;j<=n;j++) f[i][j]=-1.0;
    ans=0.0;
    for (int i=(n>>1)+1;i<=n;i++) ans+=dp(n,i);
    printf("%0.10f\n",ans);
    return 0;
}










Measured memory_bytes: 70912