
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
Three lines were drawn through the point  $X$  in space. These lines crossed some sphere at six points. It turned out that the distances from point  $X$  to some five of them are equal to  $2$  cm,  $3$  cm,  $4$  cm,  $5$  cm,  $6$  cm. What can be the distance from point  $X$  to the sixth point?

(Alexey Panasenko)

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