
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 balls of two colors in a box: blue and red (both colors are present). It is known that there are more blue balls, and the probability of drawing two balls of the same color is the same as the probability of drawing two balls of different colors. What can be the difference between the number of blue and red balls? Provide a complete and justified answer to this question.

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