
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
In a vase, there is a bouquet consisting of 7 branches of lilac, which are either white or blue. It is known that 1) at least one branch is white, 2) out of any two branches, at least one is blue. How many white branches and how many blue branches are in the bouquet?

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