
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
As part of a scheme, Lucy decides to secretly leave a surprise gift in her friend's locker each day. On Monday, she can choose between her two friends, Matt and Sara, to place the gift. On Tuesday she has only one friend, Kim, willing to help. On Wednesday, she originally had no one, but last minute her friend Joe agrees to help. On Thursday, she can choose from four friends: Tom, Ella, Liam, and Zoe. On Friday, she decides to do it herself. How many different combinations of friends could be involved in the surprise placement each day of the week?

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