#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
using namespace std;
int a,b,c,d;
inline double Func(long long k){
return sin(a*k + b) + cos(c*k + d);
}
int main(){
int p,n;
cin >> p >> a >> b >> c >> d >> n;
double ans = 0;
double MMax = -1e5;
for (int i=1;i<=n;i++){
double f = Func(i);
MMax = max(MMax,f);
ans = max(ans,MMax - f);
}
cout << setprecision(15) << ans*p;
}
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