
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 a square with a point inside it, the distances from this point to three sides are 4, 7, and 12 centimeters. What could be the distance to the fourth side? Provide all possible options. Express the answer in centimeters.

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