
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 numbers 1 to 10 are placed in boxes such that every number except the uppermost is equal to the difference between the two numbers on its top, find the upper bound of the number in the lower box.

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