
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
Humanity has now found 15 habitable planets. Of these, 8 are Earth-like and 7 are Mars-like. Earth-like planets require 2 units of colonization effort, while Mars-like planets require only 1 unit. If 18 total units of colonization are available, determine the number of different combinations of planets that can be occupied, considering that all planets are distinct from each other.

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