//
// Stvoreno ENERGom o 09.04.24. 12:21:04
//

#include<bits/stdc++.h>

#define all(a) a.begin(),a.end()
#define len(a) (int)(a.size())
#define mp make_pair
#define MP make_pair
#define pb push_back
#define PB push_back
#define F first
#define fir first
#define S second
#define sec second

using namespace std;

typedef pair<int, int> pii;
typedef long long ll;
typedef long double ld;

#ifdef Energy
#define DEBUG for (int ____DEBUG=1;____DEBUG;____DEBUG=0)

template<class ...Ts>
auto &PRNT(Ts ...ts) { return ((cerr << ts << " "), ...); }

#define LOG(...) PRNT(#__VA_ARGS__" ::",__VA_ARGS__)<<endl
#else
#define DEBUG while(0)
#define LOG(...)
#endif

const int max_n = -1, inf = 1000111222;

int main() {
//    freopen("input.txt","r",stdin);
//    freopen("output.txt","w",stdout);
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    int p,a,b,c,d,n;
    cin>>p>>a>>b>>c>>d>>n;

    ld ans=0;
    ld pref_max=-inf;
    for (int k=1;k<=n;k++){
        ld cur=p*(sin(a*k+b)+cos(c*k+d)+2);
        if (k==1){
            pref_max=cur;
        }
        else{
            ans=max(ans,pref_max-cur);
            pref_max=max(pref_max,cur);
        }
    }
    cout<<fixed<<setprecision(10)<<ans<<"\n";

    exit(0);
}