
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
Given that the lengths of the sides of a triangle are integers, and the difference between the lengths of two of the sides is 5, and the perimeter of the triangle is an odd number, determine the minimum value of the length of the third side.

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