
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
Given that a warehouse stores 150 boxes of oranges, each box containing at least 130 oranges and no more than 160 oranges, find the largest integer n such that there must be at least n boxes containing the same number of oranges.

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