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Number-Line-Jumps

You are choreographing a circus show with various animals. For one act, you are given two kangaroos on a number line ready to jump in the positive direction (i.e, toward positive infinity).

The first kangaroo starts at location x1 and moves at a rate of v1 meters per jump. The second kangaroo starts at location x2 and moves at a rate of v2 meters per jump. You have to figure out a way to get both kangaroos at the same location at the same time as part of the show. If it is possible, return YES, otherwise return NO.

Example x1=2 v1=1 x2=1 v1=2 After one jump, they are both at x=3, (x1+v1=2+1,x2+v2=1+2), so the answer is YES.

Function Description

Complete the function kangaroo in the editor below.

kangaroo has the following parameter(s):

int x1, int v1: starting position and jump distance for kangaroo 1 int x2, int v2: starting position and jump distance for kangaroo 2

Returns string: either YES or NO

Input Format

A single line of four space-separated integers denoting the respective values of x1, v1, x2, and v2.

Constraints

Sample Input 0 3 4 2

Sample Output YES

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