Problem Statement

You are given $5$ positive integers $X_{1}, Y_{1}, X_{2}, Y_{2}, X_{3}$. Here, $X_{3}$ is even.

Consider the $4$ points $O(0, 0), A(X_{1}, Y_{1}), B(X_{2}, Y_{2}), C(X_{3}, 0)$ on a two-dimensional plane. Are the areas of the $2$ triangles $OAC$, $OBC$ equal?

Constraints

• $1 \leq X_{1}, Y_{1}, X_{2}, Y_{2}, X_{3} \leq 100$

• $X_{3}$ is even

• $(X_{1}, Y_{1}) \neq (X_{2}, Y_{2})$

• All inputs are integers

Input

The input is given in the following format.

$X_{1}$ $Y_{1}$ $X_{2}$ $Y_{2}$ $X_{3}$

• The $1$st line contains $X_{1}, Y_{1}, X_{2}, Y_{2}, X_{3}$ in this order, separated by single-byte spaces

Output

If the areas of triangles $OAC$, $OBC$ are equal, print Yes; otherwise, print No, on $1$ line.

Sample

1 5 3 5 8

Yes

2 3 4 5 6

No

1 77 100 77 2

Yes