
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
With 100 Chinese Yuan, you can purchase items each day in one of the following three ways: (1) buy candy for 1 Yuan; (2) buy cookies for 2 Yuan; or (3) buy fruit for 2 Yuan, and you are not allowed to buy nothing. In how many ways can you use all 100 Chinese Yuan?

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