
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
Consider having five balls numbered 1, 2, 3, 4, 5 and five boxes also numbered 1, 2, 3, 4, 5. If these five balls are placed into the boxes such that each box contains one ball and exactly two of the balls have the same number as their boxes, calculate the total number of ways to place the balls.

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