
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
A $4\times 4$ matrix is filled with numbers $1$ to $16$ in increasing order from left to right and top to bottom. Reverse the order of numbers in the first and third rows. After these changes, calculate the positive difference between the sums of the numbers on the two main diagonals (from top-left to bottom-right and from top-right to bottom-left).
A) 2
B) 4
C) 6
D) 8
E) 10

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