
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
An 8 by 8 grid of numbers follows this pattern:
1) The first row and first column consist of all 1s.
2) The entry in the \(i\)th row and \(j\)th column equals the sum of the numbers in the \((i-1)\) by \((j-1)\) sub-grid with row less than \(i\) and column less than \(j\).

What is the number in the 8th row and 8th column?

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