
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 from 1 to 50 are placed in a hat. Alice and Bob each draw one slip, keeping their numbers hidden. Alice announces, "I can't tell who has the larger number." Bob responds, "I now know who has the larger number." Alice questions, "Oh, is your number prime?" Bob confirms, "Yes, and it's even." Finally, Alice adds, "Then, if I multiply your number by 90 and add my number, we get a perfect square." What is the sum of the numbers they drew?
A) 17
B) 18
C) 19
D) 20
E) 21

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