Coordinates of a Point

Source: beecrowd

Version: Phuoc Hung OJ Extended

Problem Statement

Given the coordinates $(x,y)$ of a point, determine its quadrant, whether it lies on an axis, or whether it is the origin.

Input

One line contains real numbers $x$ and $y$.

Output

Print Q1, Q2, Q3, Q4, Eixo X, Eixo Y, or Origem according to the point position.

Subtasks

• Subtask 1 (100%): $-10^9 \le x,y \le 10^9$

Examples

Example 1

Input

4.5 -2.2

Output

Q4

Explanation

For the sample values 4.5, -2.2, evaluating the conditions in the statement gives Q4. Therefore the program prints the shown output.

Example 2

Input

0.1 0.1

Output

Q1

Explanation

For the sample values 0.1, 0.1, evaluating the conditions in the statement gives Q1. Therefore the program prints the shown output.

Example 3

Input

0.0 0.0

Output

Origem

Explanation

For the sample values 0.0, 0.0, evaluating the conditions in the statement gives Origem. Therefore the program prints the shown output.