
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
Poplar, willow, locust, birch, and phoenix trees are planted in a row, with a distance of 1 meter between any two adjacent trees. The distance between the poplar and both the willow and locust trees is equal. The distance between the birch and both the poplar and locust trees is equal. Find the distance between the phoenix tree and the birch tree in meters.

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