
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
We write 1 at both endpoints of a segment. Then, step by step, we divide the resulting segments in half and write at each midpoint the sum of the numbers at the two endpoints of the segment. By repeating the halving of segments one million times, how many times will the number 1978 appear among the written numbers?

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