
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
Given that the vertices of the square $A B C D$ on the complex plane are arranged in a counterclockwise direction, and the complex numbers corresponding to $A$ and $B$ are $1+2i$ and $3-5i$ respectively, what is the complex number corresponding to point $C$?

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