
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]


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100 children were given 100 macaroni each on their plates. Some children did not want to eat and started playing. In one action, a child can transfer one macaroni from their plate to the plates of any number of other children. After the least number of actions, how can all the children end up with a different number of macaroni on their plates?

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