
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 are 9 apples on the table, forming 10 rows of 3 apples each (see the picture).

It is known that the weights of the apples in nine of the rows are the same, while the weight of the apples in the tenth row is different. There is an electronic scale that can reveal the weight of any group of apples for one dollar per measurement. What is the minimum number of dollars needed to determine which row has the different weight?

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