
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
There are six baskets containing $6n$, $6n+1$, $6n+2$, $6n+3$, $6n+4$, $6n+5$ balls respectively, where $n$ is a positive integer. Xiaohong and Yangxia are playing a game where they take turns to draw balls from one of the baskets. Each player can take one or two balls at a time, but cannot skip their turn. The rule is that the player who takes the last ball loses. A draw decides that Xiaohong will go first, but Yangxia gets to choose from which basket to draw.  
Who do you think will win, and please design a winning strategy.

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