
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
There are 55 boxes in a row, numbered consecutively from 1 to 55. Each box contains no more than 10 balls, and the number of balls in any two neighboring boxes differs by exactly 1. It is known that the total number of balls in the boxes with numbers $1, 4, 7, 10, \ldots, 55$ is 181. What is the minimum total number of balls that can be in all 55 boxes?

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