A set of (a, b, c, d) is called FNUM-SET if both conditions are met:

• a div b = c.
• a mod b = d.

Given set of (a, b, c, d) and your mission is check whether the set is an FNUM-SET, print "Yes", else print "No".

Input

Integers a, b, c, d. (0 <= a, b, c, d <= 100)

Output

Yes or No.

Example

Input 1:
6 4 1 2

Output 1:
Yes

Input 2:
6 4 0 2

Output 2:
No