
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
Ankit, Box, and Clark are playing a game. First, Clark comes up with a prime number less than 100. Then he writes each digit of the prime number on a piece of paper (writing  $0$  for the tens digit if he chose a single-digit prime), and gives one each to Ankit and Box, without telling them which digit is the tens digit, and which digit is the ones digit. The following exchange occurs:

1. Clark: There is only one prime number that can be made using those two digits.
2. Ankit: I don't know whether I'm the tens digit or the ones digit.
3. Box: I don't know whether I'm the tens digit or the ones digit.
4. Box: You don't know whether you're the tens digit or the ones digit.
5. Ankit: I don't know whether you're the tens digit or the ones digit.

What was Clark's number?

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