Score : $100$ points

Problem Statement

Takahashi melted and mixed $A$ grams of gold and $B$ grams of silver $(0 \leq A,B,\ 0 \lt A+B)$ to produce new metal.

What metal did he produce: pure gold, pure silver, or an alloy?

Formally, the product is called as follows.

• Pure gold, if $0 \lt A$ and $B=0$.
• Pure silver, if $A=0$ and $0 \lt B$.
• An alloy, if $0 \lt A$ and $0 \lt B$.

Constraints

• $0 \leq A,B \leq 100$
• $1 \leq A+B$
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

$A$ $B$

Output

If the product is pure gold, print Gold; if it is pure silver, print Silver; if it is an alloy, print Alloy.

50 50

Alloy

We have $0 \lt A$ and $0 \lt B$, so the product is an alloy.

100 0

Gold

We have $0 \lt A$ and $B=0$, so the product is pure gold.

0 100

Silver

We have $A=0$ and $0 \lt B$, so the product is pure silver.

100 2

Alloy