
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
There are 6 types of plants: shooter, dual shooter, triple shooter, ice shooter, bidirectional shooter, and pod shooter. The sun cost for planting one of each type is 100, 200, 300, 150, 125, and 125 respectively. Feifei planted 10 plants and spent a total of 2500 suns. How many different ways $\qquad$ are there for her to plant these 10 plants? (For example, 7 triple shooters + 1 ice shooter + 1 pod shooter is a valid way.)

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