
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
Bobo the clown was juggling his spherical cows again when he realized that when he drops a cow is related to how many cows he started off juggling. If he juggles  $1$ , he drops it after  $64$  seconds. When juggling  $2$ , he drops one after  $55$  seconds, and the other  $55$  seconds later. In fact, he was able to create the following table:
\begin{tabular}{c|c ccccccccccc}
cows started juggling & 1 & 2 & 3 & 4 & 5 & 6 &7 &8 &9 &10 & 11
seconds he drops after & 64 & 55 & 47 & 40 & 33 & 27 & 22&  18& 14 &13 &12 \hline
cows started juggling & 12 &13 &14& 15 &16& 17& 18& 19 &20& 21 &22
seconds he drops after & 11 &10 &9 &8 &7& 6 &5 &4& 3& 2& 1
\end{tabular}
He can only juggle up to  $22$  cows. To juggle the cows the longest, what number of cows should he start off juggling? How long (in minutes) can he juggle for?

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