p03705 AtCoder Grand Contest 015 - A+...+B Problem
Snuke has N integers. Among them, the smallest is A, and the largest is B. We are interested in the sum of those N integers. How many different possible sums there are?

Constraints

* 1 ≤ N,A,B ≤ 10^9
* A and B are integers.

Input

Input is given from Standard Input in the following format:


N A B


Output

Print the number of the different possible sums.

Examples

Input

4 4 6


Output

5


Input

5 4 3


Output

0


Input

1 7 10


Output

0


Input

1 3 3


Output

1
```python
p,n,m=map(int,input().split())
if p==1:print(int(m==n))
elif n>m:print(0)
else:print((m-n)*(p-2)+1)

```