
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
Determine how many $4 \times 4$ arrays containing all the numbers from 1 to 16 can be formed such that each row and column contains numbers in strictly increasing order.
A) 24
B) 36
C) 48
D) 54
E) 60

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