
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
10 children are arranged in a circle. Each chose an integer and communicated it to their neighbor clockwise. Then, each loudly announced the sum of their chosen number and the number of their neighbor counterclockwise. The first child said '10', the next clockwise said '9', the next clockwise said '8', and so on, the ninth said '2'. What number did the remaining child announce?

Answer, option 1. 5.

Answer, option 2. 9.

Answer, option 3. 14.

Answer, option 4. 6.

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