Problem A. Axis of choice ≡

Statement

A rectangular area with sides parallel to coordinate axises is represented by coordinates of two opposite corners (x₁, y₁) and (x₂, y₂).

Your program must find the coordinate axis which is closest to the given rectangular area.

Input file format

Input file contains four integers x₁ y₁ x₂ y₂ — coordinates of area corners.

Output file format

Output file must contain a single string:

• X if a distance from area to X axis is less than to Y axis;
• Y if a distance from area to X axis is greater than to Y axis;
• XY if distances from area to X and Y axises are equal.

Constraints

 − 10⁹ ≤ x₁, y₁, x₂, y₂ ≤ 10⁹

Sample tests

30 40 10 20

Y

-5 20 -4 -20

X

1 1 1 1

XY