
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 100-digit number consisting of ones and twos. It is allowed to swap the first five digits with the next five in any sequence of ten consecutive digits. Two such numbers are called similar if one of them can be obtained from the other by several such operations. What is the maximum number of pairwise dissimilar numbers that can be selected?

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