
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
From the set $\{0,1,2,3,4,5\}$, two distinct numbers $a$ and $b$ are chosen to form the complex number $a+bi$. Calculate the total number of possible pairs of integers $(a,b)$ such that $a$ and $b$ are in the given set.

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