
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
You have  $128$  teams in a single elimination tournament. The Engineers and the Crimson are two of these teams. Each of the  $128$  teams in the tournament is equally strong, so during each match, each team has an equal probability of winning.

Now, the  $128$  teams are randomly put into the bracket.

What is the probability that the Engineers play the Crimson sometime during the tournament?

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