
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
Polina has two closed boxes - a square one and a round one. She is told that the round box contains 4 white balls and 6 black balls, while the square box contains 10 black balls. In one move, Polina can blindly take a ball from any box and either discard it or transfer it to the other box. Polina wants to make the contents of the boxes identical. What is the minimum number of moves Polina needs to guarantee this?

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