
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
Define a function $f(x)$ on $\mathbb{R}$ that is an odd function, and $f(x) = (2-x)$, which is a monotonically decreasing function in the interval $[1,2]$. Regarding the function $f(x)$, the following statements are made:
1. The graph is symmetric about the line $x=1$;
2. The smallest positive period is $2$;
3. It is a decreasing function in the interval $[-2,-1]$;
4. There are at most 5 zeros in the interval $[-4,4]$.

The correct statement numbers are.

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