
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
Xiaohong and Xiaoliang are playing the "Rock, Paper, Scissors" game. They agree to go up 3 steps if they win and down 2 steps if they lose. Starting from the 9th step, after playing 12 times (with each game having a win or loss), Xiaohong ends up on the 10th step. How many times did Xiaohong win in total?

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