Distance from the Origin

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Given a point with real coordinates $(x,y)$, classify whether it is the origin, on one of the coordinate axes but not the origin, or off both axes. No numerical distance is required.

Input

One line contains real values $x,y$, each with at most one decimal digit.

Output

Print ORIGIN if both coordinates are zero, AXIS if exactly one is zero, or ELSE otherwise.

Subtasks

• Subtask 1 (20 points): Coordinates are in [-2,2].

• Subtask 2 (30 points): Coordinates are in [-100,100].

• Subtask 3 (50 points): Coordinates are in [-1000,1000].

Examples

Example 1

Input

0.0 0.0

Output

ORIGIN

Explanation

For this input, the case-specific computation and the required exact output are shown above. Both coordinates are zero.

Example 2

Input

0.0 -2.5

Output

AXIS

Explanation

For this input, the case-specific computation and the required exact output are shown above. Exactly one coordinate is zero.