
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
There is a bag with 16 letters: A, A, A, A, B, B, D, I, I, M, M, N, N, N, Ya, Ya. Anna, Vanya, Dani, and Dima each took 4 letters from the bag, and the bag was emptied. Each of them tried to spell their name with the letters they took. What is the maximum number of kids that could successfully spell their name? Explain your answer.

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