
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
Submit an integer between  $0$  and  $100$  inclusive as your answer to this problem. Suppose that  $Q_1$  and  $Q_3$  are the medians of the smallest  $50\%$  and largest  $50\%$  of submissions for this question. Your goal is to have your submission close to  $D=Q_3-Q_1$ . If you submit  $N$ , your score will be  $2-2\sqrt{\frac{\left|N-D\right|}{\max\left\{D,100-D\right\}}}$ .

*2019 CCA Math Bonanza Lightning Round #5.4*

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