
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
Richard and Shreyas are arm wrestling against each other. They will play  $10$  rounds, and in each round, there is exactly one winner. If the same person wins in consecutive rounds, these rounds are considered part of the same “streak”. How many possible outcomes are there in which there are strictly more than  $3$  streaks? For example, if we denote Richard winning by  $R$  and Shreyas winning by  $S,$   $SSRSSRRRRR$  is one such outcome, with  $4$  streaks.

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