
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
Place four distinct colored balls into two boxes labeled 1 and 2, such that the number of balls in each box is at least equal to the number of its label. Calculate the total number of different ways to place the balls.

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