
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 five balls, numbered 1, 2, 3, 4, 5, into a box with the same numbers 1, 2, 3, 4, 5, with each box containing one ball. If exactly two balls have the same number as their box, the number of different ways to place the balls is ______.

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