
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
Peter brought a bag of candies to ten friends and distributed them so that each received the same amount. Later, he realized that the bag contained the smallest possible number of candies that could also be distributed in such a way that each friend received a different (but non-zero) number of candies.

Determine how many candies were originally in the bag and provide an example of the second mentioned method of distribution.

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