#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <cmath>
#include <vector>
#include <set>
#include <map>
#include <stack>
#include <unordered_set>
#include <unordered_map>
#include <queue>
#include <ctime>
#include <cassert>
#include <complex>
#include <string>
#include <cstring>
#include <chrono>
#include <random>
#include <bitset>
#include <array>
#include <climits>
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <cmath>
#include <vector>
#include <set>
#include <map>
#include <stack>
#include <unordered_set>
#include <unordered_map>
#include <queue>
#include <ctime>
#include <cassert>
#include <complex>
#include <string>
#include <cstring>
#include <chrono>
#include <random>
#include <bitset>
#include <array>
#include <climits>

#pragma GCC optimize("O3")
#pragma GCC optimize ("unroll-loops")
#pragma GCC target("avx,avx2,fma")

#define ll long long
#define ld  long double
using namespace std;

const int N = 1e4 + 5, lg = 19, mod = 998244353;
const int M = 5e2 + 5;

int main() {
    int p, a, b, c, d, n;
    cin >> p >> a >> b >> c >> d >> n;
    ld ans = 0, max_num = - 1.0l / 0.0;
    for (int i = 1; i <= n; ++i) {
        ld cur = p * (sinl(a * i + b) + cosl(c * i + d) + 2);
        ans = max(ans, max_num - cur);
        max_num = max(max_num, cur);
    }
    cout << fixed << setprecision(6) << ans << '\n';
}