
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 both endpoints of a segment, the number 1 is written. Then, step by step, the resulting segments are halved, and at the midpoint, the sum of the numbers at the two ends of the segment is written. After halving the segments one million times, what will be the sum of the written numbers?

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