#include #include using std::cin; using std::cout; const char endl = '\n'; const int N = 2005; int n, t; double p, f[N][N], ans; int main() { std::ios::sync_with_stdio(false); cin.tie(nullptr); cin >> n >> p >> t; f[0][0] = 1; for (int i = 1; i <= t; i++) { f[i][0] = (1.0 - p) * f[i - 1][0]; for (int j = 1; j < n; j++) { f[i][j] = p * f[i - 1][j - 1] + (1.0 - p) * f[i - 1][j]; } f[i][n] = f[i - 1][n] + p * f[i - 1][n - 1]; } for (int i = 1; i <= n; i++) { ans += f[t][i] * i; } cout << std::fixed << std::setprecision(6) << ans << endl; return 0; }