B - Common Raccoon vs Monster

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.

10 3
4 5 6

Yes

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

20 3
4 5 6

No

210 5
31 41 59 26 53

Yes

211 5
31 41 59 26 53

No