
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
The cells of a pyramid are filled according to the following rule: above each pair of adjacent numbers, their arithmetic mean is written. Some numbers were erased, resulting in the structure shown in the picture. What number was in the bottom right cell? (The arithmetic mean of two numbers is their sum divided by 2.)

![pyramid](https://cdn.mathpix.com/cropped/2024_05_06_b135fe79f2e6ed0cbffag-1.jpg?height=395&width=519&top_left_y=382&top_left_x=483)

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