
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 cylindrical log with a diameter of 6 inches starts at point A to roll along a track composed of three semicircular arcs followed by a straight segment. The radii of the semicircular arcs are $R_1 = 104$ inches, $R_2 = 64$ inches, and $R_3 = 84$ inches respectively, and the straight segment is 100 inches long. Calculate the distance the center of the cylinder travels from point A to the end of the straight segment.

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