
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 two non-empty sets $P$ and $Q$, define the set $P+Q = \{a+b | a \in P, b \in Q\}$. If $P = \{0, 2, 5\}$ and $Q = \{1, 2, 6\}$, calculate the total number of elements in $P+Q$.

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