
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 South China Tiger is a first-class protected animal in our country. To save this endangered species, the country established a South China Tiger breeding base. In the first year (1986), there were only 20 tigers. Due to scientific artificial breeding, the relationship between the number of South China Tigers $y$ (in individuals) and the breeding time $x$ (in years) can be approximately described by $y=a\log_{2}(x+1)$. Predict the number of South China Tigers by the year 2016.

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