
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
Let $a$ be a real number. If the complex number $\frac{a}{i} + \frac{1-i}{2}$ (where $i$ is the imaginary unit) corresponds to a point on the line $x+y=0$ within the complex plane, then the value of $a$ is \_\_\_\_\_.

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