
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
In a vertical row, numbers from 1 to 101 are written in ascending order. Between them, fractional strokes of different sizes are inserted. In this case, the calculation begins with the most significant one. What is the maximum value that the resulting fraction can have?

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