
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 rhombus has a side length of 5. One of its diagonals is not longer than 6, and the other is not shorter than 6. Calculate the maximum value of the sum of the lengths of the two diagonals.

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