
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
No balls can be placed into a box with the same number, so the balls must be placed as follows: ball 1 in box 1, ball 2 in box 2, ball 3 in box 3, or ball 1 in box 2, ball 2 in box 3, ball 4 in box 1, or ball 1 in box 3, ball 2 in box 2, ball 4 in box 1, or ball 1 in box 1, ball 3 in box 2, ball 4 in box 3, or ball 1 in box 1, ball 4 in box 2, ball 2 in box 3, or ball 1 in box 1, ball 2 in box 3, ball 4 in box 2, or ball 2 in box 1, ball 3 in box 2, ball 4 in box 3, or ball 2 in box 1, ball 4 in box 2, ball 3 in box 3, or ball 2 in box 1, ball 3 in box 3, ball 4 in box 2, or ball 3 in box 1, ball 4 in box 2, ball 2 in box 3, or ball 3 in box 1, ball 2 in box 3, ball 4 in box 2, or ball 3 in box 1, ball 2 in box 2, ball 4 in box 3, or ball 3 in box 1, ball 2 in box 2, ball 4 in box 3, or ball 3 in box 1, ball 4 in box 2, ball 2 in box 3, or ball 4 in box 1, ball 2 in box 2, ball 3 in box 3, or ball 4 in box 1, ball 2 in box 2, ball 3 in box 3, or ball 4 in box 1, ball 3 in box 2, ball 2 in box 3, or ball 4 in box 1, ball 3 in box 2, ball 2 in box 3, or ball 4 in box 1, ball 2 in box 2, ball 3 in box 3.

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