10937: ABC366 - A - Election 2
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Description
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.
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.
Input
The input is given from standard input in the following format:
```
$N$ $T$ $A$
```
```
$N$ $T$ $A$
```
Output
Print Yes if the outcome of the election is already decided, and No otherwise.
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.
- $N$ is an odd number.
- $0 \leq T, A \leq N$
- $T + A \leq N$
- All input values are integers.
Sample 1 Input
7 4 2
Sample 1 Output
Yes
Even if the remaining one vote goes to Aoki, Takahashi will still win. That is, his victory is decided, so print Yes.
Sample 2 Input
99 12 48
Sample 2 Output
No
Although Aoki currently has more votes, Takahashi would win if he receives the remaining $39$ votes. Therefore, print No.
Sample 3 Input
1 0 0
Sample 3 Output
No