Leo Zhuang, who just graduated elementary school, is working hard as always. This time, he has encountered a graphing problem:

Given a line segment from $(x_1,y_1)$ to $(x_2,y_2)$, determine if the segment is parallel to either the x-axis or the y-axis.

If it is parallel to the x-axis, output x-axis; if it is parallel to the y-axis, output y-axis; if it is parallel to neither axis, output neither.

Can you determine this for him?

Constraints

$-{10}^9\le x_1,y_1,x_2,y_2\le {10}^9$

Note that the coordinates of the points will not be identical.

Input Specification

The first line will contain the integer coordinates of the first point, $x_1$ and $y_1$, respectively.

The second line will contain the integer coordinates of the second point, $x_2$ and $y_2$, respectively.

Output Specification

Answer Leo's question: if it is parallel to the x-axis, output x-axis; if it is parallel to the y-axis, output y-axis; if it is parallel to neither axis, output neither.

Sample Input 1

7 -2
-3 -2

Sample Output 1

x-axis

Sample Input 2

-5 5
-5 10

Sample Output 2

y-axis

Sample Input 3

3 3
-3 -3

Sample Output 3

neither