
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 a new set of planets, including 5 Earth-like and 9 Mars-like planets. Earth-like planets require 2 colonization units, while Mars-like planets require only 1. With a total of 14 colonization units available, how many different combinations of these planets can be occupied if each planet is distinct?

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