
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
In a room, there are 3 people (Xiao Wang, Xiao Zhang, Xiao Li) and 1 dog. Every morning, these 3 people make some cookies so they can eat them whenever they get hungry. One morning, Xiao Wang was the first to leave for work. Before leaving, he gave 1 cookie to the dog and took away and ate $\frac{1}{3}$ of the remaining cookies. Xiao Zhang was the second to leave for work. Before leaving, he gave 1 cookie to the dog and took away and ate $\frac{1}{3}$ of the remaining cookies. Xiao Li was the third to leave for work. Before leaving, he gave 1 cookie to the dog and took away and ate $\frac{1}{3}$ of the remaining cookies. In the evening, all 3 people returned home, gave 1 cookie to the dog, and then shared the remaining cookies equally among themselves. Throughout the process, none of the cookies need to be broken into pieces. What is the minimum number of cookies that Xiao Wang could have eaten?

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