
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
Sophia has a square array of numerical values with dimensions $50 \times 50$. Each number in the array represents a unique measurement. Sophia adds the numbers in each row and calculates the average of these sums, denoted as $P$. Similarly, she sums the numbers in each column and calculates the average of these sums, denoted as $Q$. What is the value of $\frac{P}{Q}$?
A) 1/2
B) 3/4
C) 1
D) 1.25
E) 1.5

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