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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

// This file is a "Hello, world!" in Java language by OpenJDK for wandbox.

import java.util.*;
import java.io.*;

class Main
{
	public static void main(String[] args){
		new Main().run();
	}
	
	void run(){
		Scanner sc=new Scanner(System.in);
		int H=sc.nextInt();
		int N=sc.nextInt();
		int[] A=new int[N];
		for(int i=0;i<N;++i)A[i]=sc.nextInt();
		for(int i=0;i<N;++i)H-=A[i];
		System.out.println(H<=0?"Yes":"No");
	}
}

// OpenJDK reference:
//   http://openjdk.java.net/

// Java language references:
//   http://docs.oracle.com/javase