
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
There is a sequence of numbers where the first number is 105 and the second number is 85. Starting from the third number, each number is the average of the two preceding numbers. What is the integer part of the 2011th number?

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