103660: [Atcoder]ABC366 A - Election 2

Problem Statement

A mayoral election is being held in AtCoder City. The candidates are Takahashi and Aoki.

There are $N$ valid votes cast for either of the two candidates, and the counting is currently underway. Here, $N$ is an odd number.

The current vote count is $T$ votes for Takahashi and $A$ votes for Aoki.

Determine if the outcome of the election is already decided at this point.

Constraints

• $1 \leq N \leq 99$
• $N$ is an odd number.
• $0 \leq T, A \leq N$
• $T + A \leq N$
• All input values are integers.

Input

The input is given from standard input in the following format:

$N$ $T$ $A$

Output

Print Yes if the outcome of the election is already decided, and No otherwise.

Sample Input 1

7 4 2

Sample Output 1

Yes

Even if the remaining one vote goes to Aoki, Takahashi will still win. That is, his victory is decided, so print Yes.

Sample Input 2

99 12 48

Sample Output 2

No

Although Aoki currently has more votes, Takahashi would win if he receives the remaining $39$ votes. Therefore, print No.

Sample Input 3

1 0 0

Sample Output 3

No