#include<bits/stdc++.h>

using namespace std;


int p, a, b ,c, d, n;
    
double get_val(int k){
    return (double) p*(sin(a*k+b) + cos(c*k+d) + 2);
}

int main(){
    cin.tie(0)->sync_with_stdio(false);
    cin>>p>>a>>b>>c>>d>>n;
    double ans = 0;
    double maxi = get_val(1);
    for(int i = 1; i <= n; i++){
        ans = max(ans, maxi - get_val(i));
        maxi = max(maxi, get_val(i));
    }
    cout<<fixed<<setprecision(7)<<ans<<"\n";
    return 0;
}