
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
For a certain weekend, the weatherman predicts that it will rain with a $60\%$ probability on Saturday and a $40\%$ probability on Sunday. If it rains on Saturday, the probability that it will also rain on Sunday increases to $80\%$. Calculate the probability that it rains on at least one day over the weekend. Express your answer as a percentage.

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