
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Reading material: Everyone knows that $\sqrt{2}$ is an irrational number, and irrational numbers are infinite non-repeating decimals. Therefore, we cannot write out all the decimal parts of $\sqrt{2}$. So, Xiao Ming uses $\sqrt{2}-1$ to represent the decimal part of $\sqrt{2}$. Do you agree with Xiao Ming's representation method? In fact, Xiao Ming's representation method is reasonable because the integer part of $\sqrt{2}$ is $1$, subtracting this number from $\sqrt{2}$ gives the decimal part. For example, since $\sqrt{4} < \sqrt{5} < \sqrt{9}$, which means $2 < \sqrt{5} < 3$, the integer part of $\sqrt{5}$ is $2$, and the decimal part is $\sqrt{5}-2$.

Answer the questions:
1. Write down the integer part and decimal part of $\sqrt{23}$ directly.
2. Given: $9+\sqrt{3}=x+y$, where $x$ is an integer and $0 < y < 1$, find $x-y$.

Present the answer in LaTex format: \boxed{Your answer}
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