// #pragma comment(linker, "/stack:200000000")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("Ofast")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
// #pragma GCC optimize("unroll-loops")

#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#ifdef on_linux
#include <sys/resource.h>
#endif

using namespace std;
using namespace __gnu_pbds;

#ifdef dobby_is_a_free_elf
#define TRACE
#endif
#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1) {
    cout << name << " : " << arg1 << std::endl;
    //use cerr if u want to display at the bottom
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args) {
    const char* comma = strchr(names + 1, ','); cout.write(names, comma - names) << " : " << arg1 << " | "; __f(comma + 1, args...);
}
#else
#define trace(...)
#endif

#define all(x)                  (x).begin(), (x).end()
#define fi                      first
#define GCD(x,y)                (__gcd((x), (y)))
#define int                     long long
#define lbd                     lower_bound
#define LCM(x,y)                (((x)/__gcd((x), (y)))*(y))
#define mem0(x)                 memset(x, 0, sizeof (x))
#define mem1(x)                 memset(x, -1, sizeof (x))
#define mp                      make_pair
#define pb                      push_back
#define pf                      push_front
#define pob                     pop_back
#define pof                     pop_front
#define rep(i,begin,end)        for(__typeof(end) i=(begin)-((begin)>(end));i!=(end)-((begin)>(end));i+=1-2*((begin)>(end)))
#define sc                      second
#define sleep(x)                std::this_thread::sleep_for(std::chrono::milliseconds(x))
#define sz(x)                   (int)((x).size())
#define ubd                     upper_bound

struct ConfigIO {
    ConfigIO() {
        cin.tie(nullptr);
        cout.tie(nullptr);
        ios_base::sync_with_stdio(false);   // using both C and C++ streams will now mix up the outputs (also inputs)
    }
} cnf_io;

// struct config_rand {
//    config_rand() {
//        srand(chrono::duration_cast<chrono::nanoseconds>(
//                chrono::high_resolution_clock::now().time_since_epoch()).count());
//    }
// } cnf_rand;

// int GetRand() {
//  static mt19937_64 gen;
//  static uniform_int_distribution<int> dis;
//  return dis(gen);
// }

template <typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// find_by_order(k)  returns iterator to kth element starting from 0;
// order_of_key(k) returns count of elements strictly smaller than k;
// erase,insert same as normal set

template <typename T>
using min_pq = priority_queue<T, vector<T>, greater<T>>;

inline long long toint(const string &s) {stringstream ss; ss << s; long long x; ss >> x; return x;}
inline string tostring(long long number) {stringstream ss; ss << number; return ss.str();}
inline string tobin(long long x) {return bitset<63>(x).to_string();}

// __builtin_popcount(x) - Returns the number of 1-bits in x.
// __builtin_parity(x) - Returns the parity of x, i.e. the number of 1-bits in x
// modulo 2.
// __builtin_ffs(x) - Returns one plus the index of the least significant 1-bit
// of x, or if x is zero, returns zero.
// __builtin_clz(x) - Returns the number of leading 0-bits in x, starting at the
// most significant bit position. If x is 0, the result is undefined.
// __builtin_ctz(x) - Returns the number of trailing 0-bits in x, starting at
// the least significant bit position. If x is 0, the result is undefined.

/*----------------------Graph Moves----------------------*/
// const int fx[]={+1,-1,+0,+0};
// const int fy[]={+0,+0,+1,-1};
// const int fx[]={+0,+0,+1,-1,-1,+1,-1,+1};   // Kings Move
// const int fy[]={-1,+1,+0,+0,+1,+1,-1,-1};  // Kings Move
// const int fx[]={-2, -2, -1, -1,  1,  1,  2,  2};  // Knights Move
// const int fy[]={-1,  1, -2,  2, -2,  2, -1,  1}; // Knights Move
/*-------------------------------------------------------*/

// primes for hashing 937,991,1013,1409,1741
// or use hash<string> hasher; hasher("qwerty");
// or hash<string>{}("qwerty");

const long long INF = 1e18;
const long long MOD = 1e9 + 7;
const long long fftmod = 998244353;
const long double PI = 3.14159265358979323846264338;
// const int N = 1e6 + 10;

// big mod and primitive root for NTT:
// #define MOD 2305843009255636993          // a bit larger than 2^61
// #define RT 5


inline void precompute()
{

    return;
}

const int N = 3001;
long double p[N + 5];
long double dp[N + 5][N + 5];

inline void dobbysolver(int testcase)
{
    int n;
    cin >> n;

    for (int i = 1; i <= n; ++i)
        cin >> p[i];

    dp[0][0] = 1;

    for (int i = 1; i <= n; ++i)
    {
        long double tails = 1 - p[i], heads = p[i];
        dp[i][0] = dp[i - 1][0] * tails;
        for (int j = 1; j <= i; ++j)
        {
            dp[i][j] = dp[i - 1][j] * tails + dp[i - 1][j - 1] * heads;
            // cout << dp[i][j] << ' ';
        }
        // cout << endl;
    }
    double ans = 0;
    for (int i = n / 2 + 1; i <= n; ++i)
        ans += dp[n][i];

    cout << fixed << setprecision(11) << ans;
    return;
}

int32_t main() {
#ifdef on_linux
    rlimit cpu_time {.rlim_cur = 2, .rlim_max = RLIM_INFINITY};
    setrlimit(RLIMIT_CPU, &cpu_time);
    /*
    struct rlimit {
        rlim_t rlim_cur;  // Soft limit
        rlim_t rlim_max;  // Hard limit (ceiling for rlim_cur)
    };
    */
#endif
    precompute();
    int TESTS = 1;
    //cin >> TESTS;
    for (int i = 1; i <= TESTS; ++i) {dobbysolver(i); if (i != TESTS) cout << '\n';}
    return 0;
}

Measured memory_bytes: 139392