
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
Astronomers have discovered a cluster of 18 habitable planets; out of these, 9 are classified as Earth-like and the remaining 9 as Mars-like due to their limited resources. Colonizing an Earth-like planet requires 3 units of resources, whereas a Mars-like planet only requires 2 units. Humanity has 27 total units of resources available for colonization. Calculate how many different combinations of planets can be colonized if each planet is unique.

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