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 $0 \lt B$.

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.

Constraints

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

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

见题面 Input 部分

见题面 Output 部分