//   @author - Puneet

#include<bits/stdc++.h>
#define ll long long
#define ld long double
#define vll vector<ll>
#define vvll vector< vll >
#define vld vector< ld >
#define vvld vector< vld >
#define pll pair<ll ,ll >
#define vpll vector< pll >
#define mp make_pair
#define pb push_back
#define MOD 1000000007
#define endl "\n"
#define flash ios_base::sync_with_stdio(false);cin.tie(NULL);
#define test ll t;read(t);while(t--)
#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()
#define fst first
#define scd second

#define forn(i,n) for(ll (i) = 0 ; (i) < (n) ; ++(i))
#define for1(i,n) for(ll (i) = 1 ; (i) <= (n) ; ++(i))
#define forr(i,n) for(ll (i) = (n)-1 ; (i)>=0 ; --(i))
#define forab(i,a,b,c) for(ll (i) = a ; (i) <= (b) ; (i)+=(c))

using namespace std;

////////////////////////////////////////////////////////////////// Inputs ////////////////////////////////////////////////////////////////////////////////////
template <typename T>
void read(T &x){
	cin >> x;
}

template <typename T , typename T0>
void read(T &x,T0 &y){
	cin >> x >> y;
}

template <typename T , typename T0 , typename T1>
void read(T &x,T0 &y,T1 &z){
	cin >> x >> y >> z;
}

template <typename T , typename T0 , typename T1 , typename T2>
void read(T &x,T0 &y,T1 &z,T2 &w){
	cin >> x >> y >> z >> w;
}

template <typename T , typename T0>
void read(pair< T , T0 > &p){
	cin >> p.fst >>p.scd;
}

template <typename T>
void read(vector< T > &oneD){
	for(ll i=0;i<oneD.size();i++){
		read(oneD[i]);
	}
}

template <typename T>
void read(T oneD[] , int n){
	for(ll i=0;i<n;i++){
		read(oneD[i]);
	}
}

/////////////////////////////////////////////////////////////////////////// Outputs ////////////////////////////////////////////////////////////////////////////

template <typename T>
void write(T &x){
	
	cout << x << " ";
}

template <typename T , typename T0>
void write(T &x,T0 &y){
	cout << x << " " << y << "\n";
}

template <typename T , typename T0 , typename T1>
void write(T &x,T0 &y,T1 &z){
	cout << x << " " << y << " " << z << "\n";
}

template <typename T , typename T0 , typename T1 , typename T2>
void write(T &x,T0 &y,T1 &z,T2 &w){
	cout << x << " " << y << " " << z << " " << w << "\n";
}

template <typename T , typename T0>
void write(pair< T , T0 > &p){
	write(p.fst);
	write(p.scd);
	cout << endl;
}

template <typename T>
void write(vector< T > &oneD){
	for(ll i=0;i<oneD.size();i++){
		write(oneD[i]);
	}
	cout << endl;
}

template <typename T>
void write(T oneD[] ,int n){
	for(ll i=0;i<n;i++){
		write(oneD[i]);
	}
	cout << endl;
}

template <typename T , typename T0>
void write(map< T , T0 > &mpp){
	for(auto it : mpp){
		write(it.fst);
		cout << ": ";
		write(it.scd);
		cout << "\n";
	}
	cout<<endl;
}

///////////////////////////////////////////////////////////////////////// Maths //////////////////////////////////////////////////////////////////////////////

vll seive;
void Seive(){
	const ll maxn = 1000005;
	seive.resize(maxn);
	forn(i,maxn) seive[i] = i;
	seive[1] = -1;
	seive[0] = -1;
	forab(i,2,maxn,1) if(i == seive[i]) for(ll j = 2*i ; j < maxn ; j+=i) if(seive[j] == j) seive[j] = i;
}


ll extended_GCD(ll a , ll b , ll &x , ll &y){
	if(a == 0){
		x = 0;
		y = 1;
		return b;
	}
	ll x1 , y1;
	ll gcd = extended_GCD(b%a , a , x1 , y1);
	x = y1 - (b/a)*x1; 
	y = x1;
	return gcd;
}

ll power(ll a, ll b, ll m = MOD) {
    a %= m;
    ll res = 1;
    while (b > 0) {
        if (b & 1)
            res = res * a % m;
        a = a * a % m;
        b >>= 1;
    }
    return res;
}

ll modinv(ll a , ll mod = MOD){
	ll x , y;
	extended_GCD(a , mod , x , y);
	if(x < 0) x += mod;
	return x;
}


/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////

const int N = 3005;
ld dp[N][N];
ld A[N];

int main()
{	
	flash
    
      ll n;
	cin >> n;
	memset(dp , 0 , sizeof dp);
	forn(i , n) cin >> A[i];

	dp[n][0] = 1;

	forr(i , n) forn(j , n + 1){
		dp[i][j] = dp[i + 1][j] * (1 - A[i]) + dp[i+1][j-1] * A[i];
	}

	ld ans = 0;
	forab(i , (n + 1) / 2 , n , 1) ans += dp[0][i];

	cout << fixed << setprecision(10) << ans << endl;

    return 0;
}



Measured memory_bytes: 141568