
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
Counting losses. An English officer recounted that he was part of a unit initially consisting of 1000 men. During one operation, the unit suffered heavy losses, and the survivors were captured and sent to a prisoner of war camp.

On the first day of the march, $\frac{1}{6}$ of the remaining members of the unit escaped; on the second day, $\frac{1}{8}$ of the remaining members escaped and one person died; on the third day, $\frac{1}{4}$ of the remaining members escaped. The remaining prisoners were divided into 4 equal groups upon arrival at the camp.

How many people died during the operation?

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