
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 space agency discovers 13 habitable planets: 7 Earth-like and 6 Mars-like. Each Earth-like planet requires 3 units of colonization, and each Mars-like requires 1 unit. If 18 total units of colonies are available, in how many different ways can the agency choose a combination of planets to colonize, assuming all planets are unique and different from each other, with the condition that at least one Earth-like planet must be colonized?

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