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

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