
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 the set of numbers $\{2, 2^2, 2^3, \ldots, 2^{20}\}$, together with an additional number 5, find the ratio of the largest number in the set to the sum of all other numbers in the set.

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