Tree
Tree
[There is a binary Christmas tree, with each node a ball, and lights strung between parent and child nodes. Beneath it is a heap of presents - sorted with the largest on top, smaller presents connected to it with string. Next to the tree is Cueball and his parents, Hairbun and another Cueball.] Cueball: It's a Christmas tree with a heap of presents underneath! Mother: ...We're not inviting you home next year.

Cueball turns his family's living room Christmas tree into a cringingly-awful programming pun. His parents, Hairbun and a father-Cueball, are so unamused, he's not welcome back next year.
Trees are data structures in computer science, based on two simple rules:
A binary tree is a tree where each node has spaces for exactly 2 children.
The "Christmas tree" is a basic representation of a binary tree - the star at the top is the root node, and the lights running down indicate the connections between parent and child. Contrary to what the terms "root" and "leaf" might imply, trees in computer science are typically represented upside-down, with the root on top and the leaves fanning out below.
The Christmas tree is constructed based on no apparent rules, but the main power of binary trees comes in organizing them according to specific rules. Because code that runs later can assume the data is organized in this specific way, it can use different algorithms that make things run faster. One way of doing this is with a heap. A heap is a special kind of tree (usually a binary tree, but in this case a quaternary tree), subject to one additional rule:
"Less than" in this case can refer to any comparison that can be made between two nodes - in this case, it's based on the size of the presents. Of course, there's a cost to all this; the heap must first be placed in that order. Not only that, but if a node gets removed from the heap, the heap has to be "rebuilt" to put it back in the right order. This is referenced in the title text - if Billy opens the root present, several comparisons must be done to shift other presents in its place to preserve the heap rule.
In 1308: Christmas Lights a similar strange Christmas tree has been constructed using the electromagnetic spectrum.
[There is a binary Christmas tree, with each node a ball, and lights strung between parent and child nodes. Beneath it is a heap of presents - sorted with the largest on top, smaller presents connected to it with string. Next to the tree is Cueball and his parents, Hairbun and another Cueball.] Cueball: It's a Christmas tree with a heap of presents underneath! Mother: ...We're not inviting you home next year.
