
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
Due to a snow and ice disaster, a citrus orchard suffered severe damage. To address this, experts proposed a two-year independent plan to save the fruit trees. The plan estimates that in the first year, the probability of the citrus yield recovering to 1.0, 0.9, and 0.8 times the pre-disaster level is 0.2, 0.4, and 0.4, respectively. In the second year, the probability of the citrus yield reaching 1.5, 1.25, and 1.0 times the first year's yield is 0.3, 0.3, and 0.4, respectively. Calculate the probability that the citrus yield will exactly reach the pre-disaster level after two years.

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