
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
$A, B, C, D, E$, and $F$ are cities consecutive along a route. We know the following about the consecutive straight segments of the route: $AB>BC>CD>DE>EF$; the length of each segment is an integer; $AB=2EF$. The total route length from $A$ to $F$ is $53 \mathrm{~km}$. What could be the lengths of the individual segments?

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