Hi there !
Warning, the following post contains hints to help solving this puzzle.
- If Skynet is on a node without any connections to gateways, it cannot beat you this turn, so use this kind of turn (I will call them KIND1) wisely
- If Skynet is on a node with exactly one connection to a gateway, you have no choice for this turn, you must severe this connection. (KIND2)
- Notice that Skynet will beat you if it reaches any node with connections to 2 gateways (KIND3). This kind of situation must be avoided, so as soon as possible, you must try to severe one of those. Of course, ASAP = KIND1
The challenge in this puzzle is to determine which KIND3 nodes Skynet will reach the most fast and turn it into a KIND2 node before it happens. This must be repeated until there are only KIND2 nodes left. Then the rest is easy =)