
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 five balls numbered 1, 2, 3, 4, 5, and five boxes also numbered 1, 2, 3, 4, 5, place the five balls into the boxes such that each box contains one ball. The requirement is that exactly two balls must be placed in their corresponding boxes, with the ball number matching the box number. Determine the total number of ways this can be arranged.

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