
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
We have  $98$  cards, in each one we will write one of the numbers:  $1, 2, 3, 4,...., 97, 98$ .
We can order the  $98$  cards, in a sequence such that two consecutive numbers  $X$  and  $Y$  and the number  $X - Y$  is greater than  $48$ , determine how and how many ways we can make this sequence!!

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