
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
For two sets  $A, B$ , define the operation   $$ A \otimes B = \{x \mid x=ab+a+b, a \in A, b \in B\}. $$   Set  $A=\{0, 2, 4, \cdots, 18\}$  and  $B=\{98, 99, 100\}$ . Compute the sum of all the elements in  $A \otimes B$ .

*(Source: China National High School Mathematics League 2021, Zhejiang Province, Problem 7)*

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