## Kangaroo

There are two kangaroos on a number line ready to jump in the positive direction (i.e, toward positive infinity). The first kangaroo starts at location and moves at a rate of meters per jump. The second kangaroo starts at location and moves at a rate of meters per jump. Given the starting locations and movement rates for each kangaroo, can you determine if they'll ever land *at the same location at the same time*?

**Input Format**

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

**Constraints**

**Output Format**

Print `YES`

if they can land on the same location at the same time; otherwise, print `NO`

.

**Note:** The two kangaroos must land at the same location *after making the same number of jumps*.

**Sample Input 0**

```
0 3 4 2
```

**Sample Output 0**

```
YES
```

**Explanation 0**

The two kangaroos jump through the following sequence of locations:

Thus, the kangaroos meet after jumps and we print *YES*.

**Sample Input 1**

```
0 2 5 3
```

**Sample Output 1**

```
NO
```

**Explanation 1**

The second kangaroo has a starting location that is ahead (further to the right) of the first kangaroo's starting location (i.e., ). Because the second kangaroo moves at a faster rate (meaning ) *and* is already ahead of the first kangaroo, the first kangaroo will never be able to catch up. Thus, we print *NO*.