Problem:
Score : 200 points

Problem Statement

Raccoon is fighting with a monster.

The health of the monster is H.

Raccoon can use N kinds of special moves. Using the i-th move decreases the monster's health by A_i.
There is no other way to decrease the monster's health.

Raccoon wins when the monster's health becomes 0 or below.

If Raccoon can win without using the same move twice or more, print Yes; otherwise, print No.

Constraints

1 \leq H \leq 10^9

1 \leq N \leq 10^5

1 \leq A_i \leq 10^4

All values in input are integers.

Input

Input is given from Standard Input in the following format:

H N
A_1 A_2 ... A_N

Output

If Raccoon can win without using the same move twice or more, print Yes; otherwise, print No.

Sample Input 1

10 3
4 5 6

Sample Output 1

Yes

The monster's health will become 0 or below after, for example, using the second and third moves.

Sample Input 2

20 3
4 5 6

Sample Output 2

No

Sample Input 3

210 5
31 41 59 26 53

Sample Output 3

Yes

Sample Input 4

211 5
31 41 59 26 53

Sample Output 4

No

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

use std::io::*;
use std::str::FromStr;

fn main() {
    let h: usize = read();
    let n: usize = read();

    let mut a = Vec::new();
    for _ in 0..n {
        a.push(read::<usize>());
    }

    a.sort_by(|a, b| b.cmp(a));

    let mut sum = 0;

    for i in a {
        sum += i;

        if sum >= h {
            println!("Yes");
            return;
        }
    }

    println!("No");
}

/// Example
/// ```
///
///  let n: i32 = read();
///
///  let mut xs = Vec::new();
///  for _ in 0..n {
///      xs.push(read::<i32>() + 1000);
///  }
/// ```
fn read<T: FromStr>() -> T {
    let stdin = stdin();
    let stdin = stdin.lock();
    let token: String = stdin
        .bytes()
        .map(|c| c.expect("failed to read char") as char)
        .skip_while(|c| c.is_whitespace())
        .take_while(|c| !c.is_whitespace())
        .collect();
    token.parse().ok().expect("failed to parse token")
}

#[cfg(test)]
mod tests {
    use super::*;

    #[test]
    fn hoge() {
        assert_eq!(run(20, 15), 0);
        assert_eq!(run(20, 30), 0);
        assert_eq!(run(12, 4), 4);
    }
}