
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
Consider a $4 \times 4$ grid where all the digits from 1 through 16 must be placed such that each row and column contains numbers in increasing order. What is the number of valid configurations if the number in the bottom-right corner is always 16?
A) 2048
B) 4096
C) 8192
D) 16384

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