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BEBRAS 2017 Grade 3-4 Round 2 Ext Question 14

BEBRAS · BEBRAS 2017 Grade 3-4 Round 2 Ext

Question 14

A beaver and friends use a shared Internet cable along poles, as shown. One break, perhaps caused by a fallen tree, stops the beaver’s Internet connection. The beaver can ping a computer’s IP address from the map. For example: ping 2001:db8::ff00:42:8329. A reply such as “64 bytes from 2001:db8::ff00:42:8329, time=22.9 m” means that computer is still reachable; “100% packet loss, time 999 ms” means the cable is broken somewhere before it.

Question illustration

What is the fewest ping commands needed to guarantee locating the broken segment?
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