
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
For each integer  $i=0,1,2, \dots$ , there are eight balls each weighing  $2^i$  grams. We may place balls as much as we desire into given  $n$  boxes. If the total weight of balls in each box is same, what is the largest possible value of  $n$ ? $ 
\textbf{a)}\ 8
\qquad\textbf{b)}\ 10
\qquad\textbf{c)}\ 12
\qquad\textbf{d)}\ 15
\qquad\textbf{e)}\ 16
$ 

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