
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 entries in a $4 \times 4$ matrix include all the digits from 1 through 16, arranged so that the entries in every row and column are strictly increasing. How many such matrices are there?
A) 128
B) 256
C) 512
D) 576
E) 1024

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