
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
A company stipulates that a retired employee can receive a pension each year, which is directly proportional to the square root of the number of years they have worked. If they work $a$ more years, their pension increases by $p$ dollars, and if they work $b$ more years ($b \neq a$), their pension increases by $q$ dollars. The annual pension of the employee is (expressed in terms of $a$, $b$, $p$, $q$) ______ dollars.

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