
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
The annual production of a certain product is $a$. In the next $m$ years, it is planned to increase the production by an average of $p\%$ each year.  
(Ⅰ) Write the function expression for the production $y$ as a function of the number of years $x$;  
(Ⅱ) If the goal is to double the annual production within two years, find $p$.

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