FUACM002 - Problems 2: DIV, MOD and IF

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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


Added by:Gầy :))
Date:2014-11-12
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64