
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
A bag contains blue and green chips. The probability of drawing two chips of the same color is equal to the probability of drawing two chips of different colors (one chip is drawn after the other without replacement). It is known that there are more blue chips than green chips and that the total number of chips is greater than 2 but less than 50. How many blue chips can be in the bag? Find all possible answers.

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