
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
Annipanni and Boribon alternately write digits next to each other from left to right on a sheet of paper. Annipanni starts with a non-zero digit. They continue the game until they create a 100-digit number. Boribon wins if the resulting number gives a remainder of 5 when divided by 11, otherwise Annipanni wins. Both are very skilled in mathematics. Who wins the game?

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