
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
At the end of 2005, a city had 100,000 taxis. Starting from 2006, it was planned to scrap 20,000 old taxis each year. Assuming that the number of new taxis added each year is 10% of the total number of taxis at the end of the previous year, if by the end of 2008, the number of taxis in the city is within the range \[k, k+1\] (where $k \in \mathbb{N}^*$), then $k=$  thousand.

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