
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

In a department store, 10 suitcases and 10 keys are delivered separately, and each key opens one and only one suitcase. The worker needs to find the matching key for each suitcase. What is the expected number of attempts required to match each key to its corresponding suitcase, considering both successful and unsuccessful attempts?

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