
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 geographical (political) map needs to be colored such that two neighboring countries (or provinces) have different colors. What is the minimum number of colors required? Will this necessary number always be sufficient?

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