
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

On a number line, 16 points are marked and numbered from left to right. The coordinate of any point, except for the end points, is equal to the half-sum of the coordinates of its two neighboring points. Find the coordinate of the fifth point, if the first point has a coordinate of 2, and the sixteenth point has a coordinate of 47.

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