
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
Five children together had ten candies. The first said, "I have one candy," the second said, "I have two candies," ..., the fifth said, "I have five candies." How many of these statements could be false?

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