
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
Ten people want to play a board game and need to draw lots to determine the starting player. The host is tasked with putting some red and some white balls into a hat. Players will draw balls from the hat in a cycle until someone draws a red ball, which will designate them as the starting player. The host is the first to draw. How should the host fill the hat if they do not want to be the starting player?

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