
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
Among the following statements, the correct sequence number is ______  
① $2+i>1+i$  
② If a number is a real number, then it does not have an imaginary part  
③ The points on the imaginary axis represent purely imaginary numbers  
④ Let $z=1-i$ (where $i$ is the imaginary unit), if the complex number $\frac{2}{z}+z^2$ corresponds to the vector $\overrightarrow{OZ}$ in the complex plane, then the magnitude of vector $\overrightarrow{OZ}$ is $\sqrt{2}$  
⑤ If $z= \frac{1}{i}$, then $z^5+1$ corresponds to a point in the fourth quadrant of the complex plane.

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