
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 conical glass is in the form of a right circular cone. The slant height is  $21$  and the radius of the top rim of the glass is  $14$ . An ant at the mid point of a slant line on the outside wall of the glass sees a honey drop diametrically opposite to it on the inside wall of the glass. If  $d$  the shortest distance it should crawl to reach the honey drop, what is the integer part of  $d$  ?

[center]![Image](https://i.imgur.com/T1Y3zwR.png)[/center]

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