
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
Two chess players, A and B, are equally skilled. They meet in a competition with a prize of 10,000 yuan, which is a best-of-seven series (no draws). After five games, the score is three wins for A and two losses. Now, due to some reasons, the competition has to be stopped. How should the 10,000 yuan prize money be fairly distributed?

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