#include <bits/stdc++.h>
using namespace std;
template <class T>
void max_swap(T& a, const T& b) {
  a = max(a, b);
}
template <class T>
void min_swap(T& a, const T& b) {
  a = min(a, b);
}
template <class T>
void sort(vector<T>& c) {
  sort(c.begin(), c.end());
}
template <class T>
void uniq(vector<T>& c) {
  sort(c.begin(), c.end());
  c.erase(unique(c.begin(), c.end()), c.end());
}
template <class T>
string to_s(const T& a) {
  ostringstream os;
  os << a;
  return os.str();
}
template <class T>
T to_T(const string& s) {
  istringstream is(s);
  T res;
  is >> res;
  return res;
}
template <class T, class U>
ostream& operator<<(ostream& os, pair<T, U>& p) {
  os << "( " << p.first << ", " << p.second << " )";
  return os;
}
template <class T>
void print(T a, int n, const string& deli = " ", int br = 1) {
  for (int i = 0; i < n; ++i) {
    cout << a[i];
    if (i + 1 != n) cout << deli;
  }
  while (br--) cout << endl;
}
template <class T>
void print(const T& c, const string& deli = " ", int br = 1) {
  for (__typeof__((c).begin()) it = (c).begin(); it != (c).end(); ++it) {
    cout << *it;
    if (++it != c.end()) cout << deli;
    --it;
  }
  while (br--) cout << endl;
}
template <class T>
void print2d(T a, int w, int h, int width = -1, int br = 1) {
  for (int i = 0; i < h; ++i) {
    for (int j = 0; j < w; ++j) {
      if (width != -1) cout.width(width);
      cout << a[i][j] << ' ';
    }
    cout << endl;
  }
  while (br--) cout << endl;
}
template <class T>
void input(T& a, int n) {
  for (int i = 0; i < n; ++i) cin >> a[i];
}
template <class T>
void input(T* a, int n) {
  for (int i = 0; i < n; ++i) cin >> a[i];
}
template <class T>
void input2d(T& a, int w, int h) {
  for (int i = 0; i < h; ++i)
    for (int j = 0; j < w; ++j) cin >> a[i][j];
}
void fast_io() {
  cin.tie(0);
  ios::sync_with_stdio(false);
}
bool valid(int x, int y, int w, int h) {
  return 0 <= x && x < w && 0 <= y && y < h;
}
const int dx[] = {0, 1, 0, -1};
const int dy[] = {1, 0, -1, 0};
const double PI = acos(-1.0);
const int mod = 1000000007;
int main() {
  int n;
  double p[100100];
  scanf("%d", &n);
  for (int i = 0; i < (int)n; ++i) scanf("%lf", p + i);
  double res = 0;
  double exp_len = 0;
  for (int i = 0; i < (int)n; ++i) {
    res += p[i] + 2 * exp_len * p[i];
    exp_len = p[i] * (exp_len + 1);
  }
  printf("%.10f\n", res);
}
