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

问题陈述

在AtCoder市正在进行市长选举。候选人是高桥和青木。

有N张有效票投给了这两位候选人，目前计票正在进行中。这里，N是一个奇数。

目前的票数是高桥T票，青木A票。

判断选举结果是否已经确定。

约束条件

• $1 \leq N \leq 99$
• $N$是一个奇数。
• $0 \leq T, A \leq N$
• $T + A \leq N$
• 所有输入值都是整数。

输入

输入从标准输入以下格式给出：

$N$ $T$ $A$

输出

如果选举结果已经确定，打印Yes，否则打印No。

样本输入1

7 4 2

样本输出1

Yes

即使剩下的那一票投给了青木，高桥仍然会赢。也就是说，他的胜利已经确定，所以打印Yes。

样本输入2

99 12 48

样本输出2

No

尽管青木目前票数领先，但如果高桥获得剩下的39票，他将赢得选举。因此，打印No。

样本输入3

1 0 0

样本输出3

No