
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
Consider a quadrilateral with sides of lengths 7, 9, 14, and 10 units. If you were to compute the range of possible lengths for one of its diagonals, how many different whole numbers could be the length of this diagonal?

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