
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
Chun, Tian, Zhen, Mei, and Li each take some candies from a box in sequence. After taking the candies, they say the following statements:
- Chun: "Everyone took a different number of candies."
- Tian: "I took half of the remaining candies."
- Zhen: "I took $\frac{2}{3}$ of the remaining candies."
- Mei: "I took all the remaining candies."
- Li: "I took half of the remaining candies."

Questions:
1. In which order did Zhen take the candies?
2. Given that everyone took some candies, what is the minimum number of candies in the box?

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