
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 sequence \( a_1, a_2, a_3, \ldots \) is defined by \( a_1 = 1 \), \( a_{2n} = a_n \), and \( a_{2n+1} = a_{2n} + 1 \). Find the largest value in \( a_1, a_2, \ldots, a_{1989} \) and the number of times it occurs.

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