
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 $z_1 = -1 + 2i$, $z_2 = 1 - i$, $z_3 = 3 - 2i$, which correspond to points A, B, C respectively. If $\overrightarrow{OC} = x \overrightarrow{OA} + y \overrightarrow{OB}$, then the value of $x + y$ is \_\_\_\_\_\_.

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