
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
Consider a tessellation composed of hexagons and triangles where each hexagon is surrounded by triangles. What is the least number of colors needed to color the tessellation such that no two adjacent tiles (those sharing a side) have the same color?

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