
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
Fifty slips of paper numbered $1$ to $50$ are placed in a hat. Alice and Bob each draw one number from the hat without replacement, keeping their numbers hidden from each other. Alice says, "I can't tell if my number is prime or not." Then Bob says, "I know my number is not prime and it's a perfect square." Alice says, "Really? If I multiply your number by $50$ and add my number, the result is a perfect square." What is the sum of the two numbers drawn from the hat?
A) 43
B) 45
C) 47
D) 57

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