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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.

### 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