
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 rubber ball falls from the roof of a house of height $10 \mathrm{~m}$. Each time it hits the ground, it rebounds to four-fifths of the height it fell from previously. How many times will the ball appear in front of a $1 \mathrm{~m}$ high window whose bottom edge is $5 \mathrm{~m}$ above the ground?

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