
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 complex numbers $z_1 = -1 + 2i$, $z_2 = 1 - i$, and $z_3 = 3 - 2i$, where $i$ is the imaginary unit, and their corresponding points are $A$, $B$, and $C$ respectively. If $\overrightarrow {OC} = x \overrightarrow {OA} + y \overrightarrow {OB}$, find the value of $x + y$.

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