
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
Two numbers, 2 and 4, are written first, then their sum, which is 6. Then the sum of the last two single-digit numbers ($4+6=10$), followed by $1+0=1$, and so on. As a result, the following sequence is obtained:

$$
2461101112358133
$$

Which digits cannot appear in this sequence if the sequence is continued indefinitely? What digit will be in the hundredth position?

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