
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
In the sequence  $00$ ,  $01$ ,  $02$ ,  $03$ ,  $\cdots$ ,  $99$  the terms are rearranged so that each term is obtained from the previous one by increasing or decreasing one of its digits by  $1$  (for example,  $29$  can be followed by  $19$ ,  $39$ , or  $28$ , but not by  $30$  or  $20$ ). What is the maximal number of terms that could remain on their places?

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