
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

On the white cells of an infinite chessboard filling the upper half-plane, some numbers are written such that for each black cell, the sum of the numbers in the two adjacent cells to the right and left equals the sum of the other two numbers in the adjacent cells above and below. Given the number in one cell of the $n$-th row (marked with a cross in the diagram), we need to determine the number in the cell directly above it in the $(n+2)$-th row (marked with a question mark in the diagram). How many additional numbers in the two lower rows (marked with dots in the diagram) are needed to determine this?

![Diagram](https://cdn.mathpix.com/cropped/2024_05_06_d1d92653a0a4b11fb209g-03.jpg?height=663&width=746&top_left_y=0&top_left_x=656)

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