
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
Given six balls numbered 1 to 6 and six boxes also numbered 1 to 6, find the number of ways to place the balls into the boxes such that exactly two of the balls are placed into boxes with the same number.

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