#pragma GCC optimize ("O3", "unroll-loops")
//#pragma GCC target ("avx2")
//#pragma comment(linker, "/stack:200000000")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#include "bits/stdc++.h"
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define distinct(x) sort(all(x)); x.resize(unique(all(x))-x.begin())
#define pb push_back
#define mp make_pair
#define F first
#define S second
#define CASE(x) int x; cin >> x; while (x--)
#define CASEt(x) int x; cin >> x; for (int tc = 1; tc <= x; ++tc)
using namespace std;
using namespace __gnu_pbds;
namespace {
	const int MOD107 = 1000000007;
	const int MOD998 = 998244353;
	using ll = long long;
	using ull = unsigned long long;
	using pii = pair<int, int>;
	using pll = pair<ll, ll>;
	template <class T> using ordered_set = tree<T,null_type,less<T>,rb_tree_tag,tree_order_statistics_node_update>;
	template <class T> using minheap = priority_queue<T, vector<T>, greater<T>>;
	template <class T> using maxheap = priority_queue<T, vector<T>, less<T>>;
	mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
//	mt19937_64 rng64(chrono::steady_clock::now().time_since_epoch().count());
	struct Modular {
	private:
		long long val = 0;
		long long MODVALUE = 0;

		Modular initModular(long long val) const { return Modular(val, MODVALUE); }

	#ifdef LOCAL
		inline void validate() const {
			assert(MODVALUE != 0);
		}

		inline void validate(const Modular& other) const {
			assert(MODVALUE != 0);
			assert(MODVALUE == other.MODVALUE);
			other.validate();
		}
	#else
		inline void validate() const { }
		inline void validate(const Modular& other) const { }
	#endif

	public:
		explicit operator long long() const { return val; }

		template<class T> Modular& operator = (const T& other) { val = other; return *this; }
		template<class T> void setMod(const T& MOD) { MODVALUE = MOD; }

		bool operator == (const Modular& other) { validate(other); return val == other.val; }
		bool operator != (const Modular& other) { return !(*this == other); }
		template<class T> bool operator == (const T& other) { return *this == initModular(other); }
		template<class T> bool operator != (const T& other) { return *this != initModular(other); }
		template<class T> friend bool operator == (const T& other, const Modular& m) { return initModular(other) == m; }
		template<class T> friend bool operator != (const T& other, const Modular& m) { return initModular(other) != m; }

		bool operator <  (const Modular& other) { validate(other); return val <  other.val; }
		bool operator <= (const Modular& other) { validate(other); return val <= other.val; }
		bool operator >  (const Modular& other) { validate(other); return val >  other.val; }
		bool operator >= (const Modular& other) { validate(other); return val >= other.val; }
		template<class T> bool operator <  (const T& other) { return *this <  initModular(other); }
		template<class T> bool operator <= (const T& other) { return *this <= initModular(other); }
		template<class T> bool operator >  (const T& other) { return *this >  initModular(other); }
		template<class T> bool operator >= (const T& other) { return *this >= initModular(other); }
		template<class T> friend bool operator <  (const T& other, const Modular& m) { return initModular(other) <  m; }
		template<class T> friend bool operator <= (const T& other, const Modular& m) { return initModular(other) <= m; }
		template<class T> friend bool operator >  (const T& other, const Modular& m) { return initModular(other) >  m; }
		template<class T> friend bool operator >= (const T& other, const Modular& m) { return initModular(other) >= m; }

		Modular& operator += (const Modular& other) { validate(other); val += other.val; val %= MODVALUE; return *this; }
		Modular  operator +  (const Modular& other) { Modular tmp = *this; return tmp += other; }
		template<class T> Modular& operator += (const T& other) { return *this += initModular(other); }
		template<class T> Modular  operator +  (const T& other) { return *this +  initModular(other); }
		template<class T> friend Modular operator += (const T& other, const Modular& m) { return initModular(other) += m; }
		template<class T> friend Modular operator +  (const T& other, const Modular& m) { return initModular(other) +  m; }

		Modular& operator ++()    { return *this += 1; }
		Modular  operator ++(int) { Modular tmp = *this; ++*this; return tmp; }

		Modular  operator -  () const { return initModular(-val); }
		Modular& operator -= (const Modular& other) { validate(other); val -= other.val; val += MODVALUE; val %= MODVALUE; return *this;}
		Modular  operator -  (const Modular& other) { Modular tmp = *this; return tmp -= other; }
		template<class T> Modular& operator -= (const T& other) { return *this -= initModular(other); }
		template<class T> Modular  operator -  (const T& other) { return *this -  initModular(other); }
		template<class T> friend Modular operator -= (const T& other, const Modular& m) { return initModular(other) -= m; }
		template<class T> friend Modular operator -  (const T& other, const Modular& m) { return initModular(other) -  m; }

		Modular& operator --()    { return *this -= 1; }
		Modular  operator --(int) { Modular tmp = *this; --*this; return tmp; }

		Modular& operator *= (const Modular& other) { validate(other); val *= other.val; val %= MODVALUE; val += MODVALUE; val %= MODVALUE; return *this; }
		Modular  operator *  (const Modular& other) { Modular tmp = *this; return tmp *= other; }
		template<class T> Modular& operator *= (const T& other) { return *this *= initModular(other); }
		template<class T> Modular  operator *  (const T& other) { return *this *  initModular(other); }
		template<class T> friend Modular operator *= (const T& other, const Modular& m) { return initModular(other) *= m; }
		template<class T> friend Modular operator *  (const T& other, const Modular& m) { return initModular(other) *  m; }

		Modular pow(long long power) const {
			Modular m = *this, ans = initModular(1);
			while (power) {
				if (power & 1) ans *= m;
				m *= m;
				power >>= 1;
			}
			return ans;
		}
		Modular pow(const Modular& other) const { return pow(other.val); }
		Modular inv() const { return pow(MODVALUE-2); }

		Modular& operator /= (const Modular& other) { val *= other.inv().val; val %= MODVALUE; return *this; }
		Modular  operator /  (const Modular& other) { Modular tmp = *this; return tmp /= other; }
		template<class T> Modular& operator /= (const T& other) { return *this /= initModular(other); }
		template<class T> Modular  operator /  (const T& other) { return *this /  initModular(other); }
		template<class T> friend Modular operator /= (const T& other, const Modular& m) { return initModular(other) /= m; }
		template<class T> friend Modular operator /  (const T& other, const Modular& m) { return initModular(other) /  m; }

		friend istream& operator >> (istream& in, Modular& m) { in >> m.val; m.val %= m.MODVALUE; m.val += m.MODVALUE; m.val %= m.MODVALUE; return in; }
		friend ostream& operator << (ostream& out, const Modular& m) { return out << m.val; }

		Modular() { val = 0; MODVALUE = 0; }
		Modular(long long val, long long MOD) : MODVALUE(MOD), val((val % MOD + MOD) % MOD) { }
	};
	using Mint = Modular;
	inline ll pow(ll b, ll p, ll mod) {
		b %= mod;
		ll ans = 1;
		for (; p > 0; p >>= 1) {
			if (p&1) {ans *= b; ans %= mod;}
			b *= b;
			b %= mod;
		}
		return ans;
	}
	inline ll max(ll a, int b) { return (a > b ? a : b); }
	inline ll max(int a, ll b) { return (a > b ? a : b); }
	inline ll min(ll a, int b) { return (a < b ? a : b); }
	inline ll min(int a, ll b) { return (a < b ? a : b); }
	template <class T> inline bool chkmin(T&x, const T& y) { return x > y ? x = y, 1 : 0; }
	template <class T> inline bool chkmax(T&x, const T& y) { return x < y ? x = y, 1 : 0; }
}
namespace IO {
	template<class T> inline void _R(T &x) {cin >> x;}
	template<class T1, class T2> inline void _R(pair<T1,T2> &x) {_R(x.first); _R(x.second);}
	template<class T> inline void _R(vector<T> &x) {for (auto& i : x) _R(i);}
	template<class T> inline void _R(deque<T> &x) {for (auto& i : x) _R(i);}
	inline void R() {}
	template<class T1, class... T2> inline void R(T1 &x, T2 &...y) { _R(x); R(y...);}

	template<class T> inline void _W(const T& x);
	template<class T1, class T2> inline void _W(const pair<T1,T2>& p);
	template<class... T> inline void _W(const vector<T...>& x);
	template<class... T> inline void _W(const deque<T...>& x);
	template<class... T> inline void _W(const forward_list<T...>& x);
	template<class... T> inline void _W(const list<T...>& x);
	template<class... T> inline void _W(const set<T...>& x);
	template<class... T> inline void _W(const multiset<T...>& x);
	template<class... T> inline void _W(const unordered_set<T...>& x);
	template<class... T> inline void _W(const unordered_multiset<T...>& x);
	template<class... T> inline void _W(const map<T...>& x);
	template<class... T> inline void _W(const multimap<T...>& x);
	template<class... T> inline void _W(const unordered_map<T...>& x);
	template<class... T> inline void _W(const unordered_multimap<T...>& x);

	template<class T> inline void _W(const ordered_set<T>& x);

	template<class Container> inline void printContainer(const Container& x) { bool isFirst = 1; for (auto i : x) { if (!isFirst) cout << ' '; isFirst = 0; _W(i); } }

	template<class T> inline void _W(const T& x) {cout << x;}
	template<class T1, class T2> inline void _W(const pair<T1,T2>& p) {_W(p.first); _W(' '); _W(p.second);}
	template<class... T> inline void _W(const vector<T...>& x) { printContainer(x); }
	template<class... T> inline void _W(const deque<T...>& x) { printContainer(x); }
	template<class... T> inline void _W(const forward_list<T...>& x) { printContainer(x); }
	template<class... T> inline void _W(const list<T...>& x) { printContainer(x); }
	template<class... T> inline void _W(const set<T...>& x) { printContainer(x); }
	template<class... T> inline void _W(const multiset<T...>& x) { printContainer(x); }
	template<class... T> inline void _W(const unordered_set<T...>& x) { printContainer(x); }
	template<class... T> inline void _W(const unordered_multiset<T...>& x) { printContainer(x); }
	template<class... T> inline void _W(const map<T...>& x) { printContainer(x); }
	template<class... T> inline void _W(const multimap<T...>& x) { printContainer(x); }
	template<class... T> inline void _W(const unordered_map<T...>& x) { printContainer(x); }
	template<class... T> inline void _W(const unordered_multimap<T...>& x) { printContainer(x); }

	template<class T> inline void _W(const ordered_set<T>& x) { printContainer(x); }

 	inline void W() {cout << '\n';}
	template<class T> inline void W(const T &x) {_W(x); W();}
	template<class T1, class... T2> inline void W(const T1 &x, const T2 &...y) { _W(x); _W(' '); W(y...);}
} using namespace IO;
namespace outputFormat{
	inline string Case(int tc) {return "Case #" + to_string(tc) + ':';}
	inline string YN(bool b) {return b ? "Yes" : "No";}
} using namespace outputFormat;
namespace std {
    template <class T1, class T2> struct hash<pair<T1,T2>> {
    	std::size_t operator()(pair<T1,T2> _) const {
        	return hash<T1>{}(_.first) ^ hash<T2>{}(_.second);
    	}
    };
}


int main() {
	int n; R(n);
	vector<double> a(n); R(a);
		
	vector<vector<double>> dp(n + 1, vector<double>(n + 1));
	dp[0][0] = 1;
	for (int i = 0; i < n; i++) {
		for (int j = 0; j <= i; j++) {
			dp[i + 1][j + 1] += dp[i][j] * a[i];
			dp[i + 1][j] += dp[i][j] * (1 - a[i]);
		}
	}
	
	double ans = 0;
	for (int j = (n + 1) / 2; j <= n; j++)
		ans += dp[n][j];
		
	W(ans);

	return 0;
}

static auto _batch_ios = [](){
#ifndef LOCAL
	ios::sync_with_stdio(false);
	cin.tie(0);
#endif
	cout << fixed << setprecision(10);
	return 42;
}();

Measured memory_bytes: 73776