
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
A wooden box with dimensions of $5cm$ in length, $4cm$ in width, and $3cm$ in height is given. A thin wooden stick (neglecting its thickness and deformation) is placed inside the box. It is required that the wooden stick cannot protrude from the box. Calculate the maximum length of the thin wooden stick that can be placed inside the box. The maximum length is ______ $cm$.

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