
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
Three people, A, B, and C, originally each have some number of jelly beans. The first time, A gives B and C a number of jelly beans equal to the number B and C originally had, respectively. The second time, B gives A and C a number of jelly beans equal to the number A and C currently have, respectively. The third time, C gives A and B a number of jelly beans equal to the number A and B currently have, respectively. In the end, each person has exactly 64 jelly beans. How many jelly beans did A, B, and C originally have?

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