
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
At the pier, 9 trucks arrived. Each of them brought no more than 10 tons of cargo, where it is known that the mass of each individual cargo does not exceed 1 ton. There are 10 barges at the pier, each with a carrying capacity of \( k \) tons. What is the smallest \( k \) such that all the delivered cargo can be guaranteed to be taken away by the barges?



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