
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 discovers 13 habitable planets, of which only 5 are Earth-like and the rest are Mars-like. Earth-like planets require 2 units each for colonization, while Mars-like planets require 1 unit each. If humanity has 15 units available for colonization, how many different combinations of planets can be occupied if each planet is unique?

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