
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
1500 products are packed into 15 boxes for shipment. After sealing the boxes, it is discovered that one product was not packed into any box. Due to strict sealing requirements, boxes cannot be reopened for inspection. Someone suggests using a scale to weigh the boxes to find which box is missing a product (because the box missing a product will be lighter). Normally, it would take 14 weighings to find the box missing the product. Is there a way to reduce the number of weighings and still determine which box is missing a product?

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