
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
Ten children of different heights are standing in a circle. From time to time, one of them moves to a different position (between any two children). The children want to arrange themselves in ascending order of height in the clockwise direction (from the shortest to the tallest) as quickly as possible. What is the minimum number of such movements that will certainly be enough, no matter how they were initially positioned?

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