
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
Three gardeners had a large carrot harvest and tried to make carrot juice. They poured the juice into 9 glasses. All were full, but each had a different volume: \(1 \mathrm{dl}, 2 \mathrm{dl}, 3 \mathrm{dl}, \ldots, 9 \mathrm{dl}\). They wanted to share fairly so that each received the same number of glasses and the same amount of juice. Find two ways they could have done this.

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