
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
Let the universal set I={1, 2, 3, 4, 5, 6}, and sets A and B be subsets of I. If A ∩ B = {1, 3, 5}, calculate the number of such "ideal matching sets" (A, B).

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