
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
Tim decides to organize a series of surprises for his friend Nathan throughout the week. On Monday, he enlists the help of Chris. On Tuesday, he has choices between either Alex or Sam. On Wednesday, he can choose from six different friends as his accomplices. On Thursday, none of the previous day's helpers will assist, but he can choose from five new friends. Finally, on Friday, Tim carries out the surprise himself, but he also has the option to involve either his friend Lee or do it alone. How many different combinations of friends can Tim involve in the surprises throughout the week?

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