Answer:
The longest necklace will obviously have the most amount of beads. Each necklace that is entangled has a different kind of bead and can be traced and differentiated with.
In order to find the necklace with the most beads, what you can do is start tracing the thread and the beads. The thread that goes the longest way and counts the most beads, is the necklace that your'e looking for.