
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
There are 22 red balls and 25 blue balls in a box. They are distributed into two boxes: the first box should contain 24 balls, and the second box should contain 23 balls. After distribution, the percentage of blue balls in each box is calculated, and the resulting numbers are added. How should the blue balls be distributed between the boxes to maximize this sum?

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