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.

Sample Input 1

50 50

Sample Output 1

Alloy

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

Sample Input 2

100 0

Sample Output 2

Gold

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

Sample Input 3

0 100

Sample Output 3

Silver

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

Sample Input 4

100 2

Sample Output 4

Alloy