
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
The following judgments are made:

1. $f(x)= \frac{|x|}{x}$ and $g(x)=\begin{cases} 1 & x\geqslant 0 \\ -1 & x < 0 \end{cases}$ represent the same function;

2. The graph of the function $y=f(x)$ intersects with the line $x=1$ at most at one point;

3. $f(x)=x^{2}-2x+1$ and $g(t)=t^{2}-2t+1$ are the same function;

4. If $f(x)=|x-1|-|x|$, then $f\left(f\left(\frac{1}{2}\right)\right)=0$.

Among these, the correct judgments are numbered \_\_\_\_\_\_\_\_.

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