
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 6 locked suitcases and 6 keys for them. It is unknown which key fits which suitcase. What is the minimum number of attempts needed to be sure to open all the suitcases? How many attempts are needed if there are 10 suitcases and 10 keys?

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