
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
Two people, A and B, start climbing a mountain from the bottom at the same time along the same path. After reaching the top, they immediately start descending along the same path. It is known that their descending speeds are three times their ascending speeds. A and B meet 150 meters from the top. When A returns to the bottom, B just reaches the halfway point of the descent. Find the distance from the bottom to the top of the mountain.

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