
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
All the integers from 1 to 100 are recorded in an unknown order in a sequence. In one query about any 50 numbers, you can find out the order of these 50 numbers relative to each other. What is the minimum number of queries needed to determine the order of all 100 numbers?

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