
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
In a botanical garden, there are three overlapping flower beds. Bed X contains 600 plants, bed Y contains 500 plants, and bed Z contains 400 plants. Beds X and Y share 70 plants, beds X and Z share 80 plants, and beds Y and Z share 60 plants. Additionally, 30 plants are shared among all three beds. Calculate the total number of distinct plants in the garden.

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