
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
James has 15 friends and 80 marbles. What is the minimum number of additional marbles he needs so that he can distribute all his marbles such that each friend receives at least one marble with no two friends getting the same amount?

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