
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
Let \\(m\\) and \\(n\\) be real numbers, and \\(m\sin \alpha + n\cos \alpha = 5\\). The minimum value of \\( \sqrt {m^{2}+n^{2}}\\) is \_\_\_\_\_\_.

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