
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
Every day, Patrick the dog chews up one slipper from the available stock at home. There is a strict 0.5 probability that Patrick wants to chew on the left slipper and a 0.5 probability that he wants to chew on the right slipper. If the desired slipper is not available, Patrick gets upset. How many identical pairs of slippers need to be bought so that Patrick does not get upset for an entire week (7 days) with a probability of at least 0.8?

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