#include<bits/stdc++.h>

int main() {
	using namespace std;
	cin.tie(nullptr)->sync_with_stdio(false);
	int p, a, b, c, d, N; cin >> p >> a >> b >> c >> d >> N;

	vector<double> prices; prices.reserve(N);
	for (int i = 1; i <= N; ++i) {
		double s = p * (sin(a * i + b) + cos(c * i + d) + 2);
		prices.push_back(s);
	}

	double ans = 0;
	double best_price = prices.front();
	for (int i = 1; i <= N; ++i) {
		double e = prices[i-1];
		best_price = max(best_price, e);
		ans = max(ans, best_price - e);
	}

	cout << fixed << setprecision(10) << ans << '\n';
}