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