Problem:
Score: 300 points

Problem Statement

In 2028 and after a continuous growth, AtCoder Inc. finally built an empire with six cities (City 1, 2, 3, 4, 5, 6)!

There are five means of transport in this empire:

Train: travels from City 1 to 2 in one minute. A train can occupy at most A people.

Bus: travels from City 2 to 3 in one minute. A bus can occupy at most B people.

Taxi: travels from City 3 to 4 in one minute. A taxi can occupy at most C people.

Airplane: travels from City 4 to 5 in one minute. An airplane can occupy at most D people.

Ship: travels from City 5 to 6 in one minute. A ship can occupy at most E people.

For each of them, one vehicle leaves the city at each integer time (time 0, 1, 2, ...).

There is a group of N people at City 1, and they all want to go to City 6.

At least how long does it take for all of them to reach there?
You can ignore the time needed to transfer.

Constraints

1 \leq N, A, B, C, D, E \leq 10^{15}

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
A
B
C
D
E

Output

Print the minimum time required for all of the people to reach City 6, in minutes.

Sample Input 1

5
3
2
4
3
5

Sample Output 1

7

One possible way to travel is as follows.
First, there are N = 5 people at City 1, as shown in the following image:

In the first minute, three people travels from City 1 to City 2 by train. Note that a train can only occupy at most three people.

In the second minute, the remaining two people travels from City 1 to City 2 by train, and two of the three people who were already at City 2 travels to City 3 by bus. Note that a bus can only occupy at most two people.

In the third minute, two people travels from City 2 to City 3 by train, and another two people travels from City 3 to City 4 by taxi.

From then on, if they continue traveling without stopping until they reach City 6, all of them can reach there in seven minutes.

There is no way for them to reach City 6 in 6 minutes or less.

Sample Input 2

10
123
123
123
123
123

Sample Output 2

5

All kinds of vehicles can occupy N = 10 people at a time.
Thus, if they continue traveling without stopping until they reach City 6, all of them can reach there in five minutes.

Sample Input 3

10000000007
2
3
5
7
11

Sample Output 3

5000000008

Note that the input or output may not fit into a 32-bit integer type.

Solution in Rust (1.15.1) (judge verdict: Accepted)

#![allow(non_snake_case, unused_imports)]
//////////////////////////////// LIBRARY START ////////////////////////////////
#[macro_use]
pub mod contest {
    #[macro_use]
    pub mod prelude {
        pub use self::myvec::*;
        #[macro_use]
        pub mod primitive {
            pub trait ToUsize: Sized {
                fn to_usize(self) -> usize;
            }

            impl ToUsize for i32 {
                #[inline]
                fn to_usize(self) -> usize {
                    self as usize
                }
            }

            impl ToUsize for i64 {
                #[inline]
                fn to_usize(self) -> usize {
                    self as usize
                }
            }

            impl ToUsize for usize {
                #[inline]
                fn to_usize(self) -> usize {
                    self
                }
            }
        }
        #[macro_use]
        pub mod myvec {
            use std::fmt;
            use std::iter::FromIterator;
            use std::ops::*;

            pub use super::primitive::ToUsize;

            /// `Vec` indexable with `i32`, `i64` or `usize`.
            #[derive(Clone, Debug, PartialEq, PartialOrd)]
            pub struct MyVec<T>(pub Vec<T>);

            /// Creates `MyVec`
            #[macro_export]
            macro_rules! v {
    ( $( $x:expr ),* ) => {
        MyVec(vec![ $( $x, )* ])
    };
    ( $x:expr ; $n:expr ) => {
        {
            MyVec(vec![$x; $n as usize])
        }
    };
}

            impl<T: fmt::Display> fmt::Display for MyVec<T> {
                fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
                    let n = self.len();
                    for i in 0..n {
                        let r = if i < n - 1 {
                            writeln!(f, "{}", self.0[i])
                        } else {
                            write!(f, "{}", self.0[i])
                        };
                        if r.is_err() {
                            return r;
                        }
                    }
                    Ok(())
                }
            }

            impl<T> Deref for MyVec<T> {
                type Target = Vec<T>;

                #[inline]
                fn deref(&self) -> &Vec<T> {
                    &self.0
                }
            }

            impl<T> DerefMut for MyVec<T> {
                #[inline]
                fn deref_mut(&mut self) -> &mut Vec<T> {
                    &mut self.0
                }
            }

            impl<T> FromIterator<T> for MyVec<T> {
                #[inline]
                fn from_iter<I: IntoIterator<Item = T>>(iter: I) -> Self {
                    MyVec(Vec::from_iter(iter))
                }
            }

            impl<T, I: ToUsize> Index<I> for MyVec<T> {
                type Output = T;

                #[inline]
                fn index(&self, i: I) -> &T {
                    &self.0[i.to_usize()]
                }
            }

            impl<T, I: ToUsize> IndexMut<I> for MyVec<T> {
                #[inline]
                fn index_mut(&mut self, i: I) -> &mut T {
                    &mut self.0[i.to_usize()]
                }
            }

            #[test]
            fn test_myvec() {
                let mut x = v![3, 2, 1];
                x.sort();
                assert_eq!(vec![1, 2, 3], *x);
                let i = 1i32;
                assert_eq!(2, x[i]);
                x[i] = 3;
                assert_eq!(3, x[i]);
                let u = 1usize;
                assert_eq!(3, x[u]);
                x[u] = 2;
                assert_eq!(2, x[u]);
                assert_eq!(2, x[1]);

                assert_eq!("MyVec([1, 2, 3])", format!("{:?}", x));
                assert_eq!(v![1, 2, 3], x);

                assert_eq!("1\n2\n3", format!("{}", x));

                let mut y = v![v![1, 2]; 3];
                y[0][0] = 2;
                assert_eq!(vec![2, 2], *y[0]);
                assert_eq!(vec![1, 2], *y[1]);
            }
        }
    }
    #[macro_use]
    pub mod io {
        /// Scanner
        ///
        /// # Example
        /// ```
        /// use contest::io::Scanner;
        /// let mut sc = Scanner::new("1 2 \n\n \r\t \n 3".as_bytes());
        /// assert_eq!("1".to_string(), sc.next::<String>());
        /// let v = sc.nexts(2);
        /// assert_eq!(2i32, v[0]);
        /// assert_eq!(3i32, v[1]);
        ///
        /// // To create a scanner from stdin:
        /// Scanner::new(std::io::stdin());
        /// ```
        use std;
        use std::io;
        use std::io::BufRead;

        use super::prelude::MyVec;

        pub struct Scanner<R: io::Read> {
            br: io::BufReader<R>,
            // Read tokens are stored in reversed order per line.
            buf: Vec<String>,
        }

        pub fn new<R: io::Read>(r: R) -> Scanner<R> {
            Scanner::new(r)
        }

        impl<R: io::Read> Scanner<R> {
            #[inline]
            pub fn new(r: R) -> Scanner<R> {
                Scanner {
                    br: io::BufReader::new(r),
                    buf: vec![],
                }
            }
            #[inline]
            pub fn next<T>(&mut self) -> T
            where
                T: std::str::FromStr,
                T::Err: std::fmt::Debug,
            {
                self.next_string()
                    .map(|s| s.parse::<T>().expect("Parse failed: "))
                    .expect("Unexpected EOF")
            }
            #[inline]
            pub fn nexts<T>(&mut self, n: i32) -> MyVec<T>
            where
                T: std::str::FromStr,
                T::Err: std::fmt::Debug,
            {
                let mut res = v![];
                for _ in 0..n {
                    res.push(self.next());
                }
                res
            }
            fn next_string(&mut self) -> Option<String> {
                self.buf.pop().or_else(|| match self.update() {
                    true => self.next_string(),
                    false => None,
                })
            }
            #[inline]
            fn update(&mut self) -> bool {
                let mut s = String::new();
                let res = self.br.read_line(&mut s);
                match res.expect("I/O error.") {
                    0 => false,
                    _ => {
                        self.buf = s.split_whitespace().map(|x| x.to_string()).rev().collect();
                        true
                    }
                }
            }
        }

        #[test]
        fn test_next() {
            let mut sc = new("hoge".as_bytes());
            let s: String = sc.next();
            assert_eq!("hoge", s);
        }
    }
}
//////////////////////////////// LIBRARY END ////////////////////////////////

use contest::io::Scanner;
use contest::prelude::MyVec;

fn main() {
    let mut sc = Scanner::new(std::io::stdin());
    let n = sc.next::<i64>();
    let v = sc.nexts::<i64>(5);
    let min = v.iter().min().unwrap();
    let res = (n + min - 1) / min + 4;
    println!("{}", res);
}