
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
In the complex plane, three vertices of a square are given as $3+3i$, $2-2i$, and $-1-1i$. Determine the fourth vertex of the square.
A) $1+i$
B) $3+4i$
C) $1+5i$
D) $4i$
E) $-4i$

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