39625a42.cpp

#include <bits/stdc++.h>
#define alive std::cout << "$LINE @" << __LINE__ << " ALIVE" << std::endl
#define watch(var) std::cout << "$ LINE @" << __LINE__ << " FUN @" << __FUNCTION__ \
                             << " VAR @" << (#var) << ": " << (var) << std::endl

using namespace std;

typedef int i32;
typedef unsigned int u32;
typedef long long i64;
typedef unsigned long long u64;
typedef double f64;
typedef long double f128;
typedef pair<int, int> pii;

template <typename Tp>
inline void read(Tp &x)
{
    x = 0;
    bool neg = false;
    char c = getchar();
    for (; !isdigit(c); c = getchar())
    {
        if (c == '-')
        {
            neg = true;
        }
    }
    for (; isdigit(c); c = getchar())
    {
        x = x * 10 + c - '0';
    }
    if (neg)
    {
        x = -x;
    }
}

int main()
{
    int p, a, b, c, d, n;
    auto price = [&](const int &k) {
        return (f64)p * (sin((f64)a * (f64)k + (f64)b) +
                         cos((f64)c * (f64)k + (f64)d) +
                         2.0);
    };

    read(p), read(a), read(b), read(c), read(d), read(n);

    f64 max, cur, ans = 0.0;
    max = price(1);
    for (int i = 2; i <= n; ++i)
    {
        cur = price(i);
        if (cur > max)
        {
            max = cur;
        }
        else
        {
            ans = std::max(ans, max - cur);
        }
    }

    printf("%.8f\n", ans);
    return 0;
}