
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
The sequence starts at 800,000 and each subsequent term is obtained by dividing the previous term by 2, then starting from the third term, each of these is decreased by 5000 before being further divided by 2. What is the last integer in this new sequence?

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