
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 NBA Finals between the Los Angeles Lakers and the Boston Celtics, the series is played in a best-of-seven format, meaning the first team to win 4 games will be crowned the champion. The games are divided into home and away games. Since the Los Angeles Lakers had a better regular-season record, games 1, 2, 6, and 7 are played in Los Angeles, while games 3-5 are played in Boston. The Lakers eventually win the championship on their home court. How many possible win-loss sequences are there during the series?

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