
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
In astronomy, the brightness of celestial bodies can be described by magnitude or luminosity. The magnitude and brightness of two stars satisfy the equation $m_{2}-m_{1}=\frac{5}{2}\lg\frac{E_{1}}{E_{2}}$, where the magnitude of a star with magnitude $m_{k}$ is $E_{k}$ $(k=1,2)$. Given that the magnitude of the Sun is $-26.7$ and the magnitude of Sirius is $-1.45$, the ratio of the brightness of the Sun to Sirius is ____.

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