
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 tree triples its height each year under good conditions, but only doubles its height in bad conditions. The tree ends up being 1458 feet tall after a total of six years, with the first three years being good growth years, and the last three years being bad growth years. What was the height of the tree at the end of the third year?

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