Vasya likes everything infinite. Now he is studying the properties of a sequence s, such that its first element is equal to a (s₁=a), and the difference between any two neighbouring elements is equal to c (s_i-s_i-1=c). In particular, Vasya wonders if his favourite integer b appears in this sequence, that is, there exists a positive integer i, such that s_i=b. Of course, you are the person he asks for a help. 

Input

The first line of the input contain three integers a, b and c (-10⁹ ≤ a,b,c ≤10⁹), the first element of the sequence, Vasya's favorite number and the difference between any two neighbouring elements of the sequence, respectively. 

Output

If b appears in the sequence s print "YES" (without quotes), otherwise print "NO" (without quotes). 

Example

Input:
1 7 3

Output:
YES