
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
Estimate the number of distinct submissions to this problem. Your submission must be a positive integer less than or equal to  $50$ . If you submit  $E$ , and the actual number of distinct submissions is  $D$ , you will receive a score of  $\frac{2}{0.5|E-D|+1}$ .


*2021 CCA Math Bonanza Lightning Round #5.1*

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