D&D.Sci Holiday Special: How the Grinch Pessimized Christmas

STORY (skippable)

Every Who down in Whoville enjoys Christmas Day

But you are the Grinch! And whatever they say

You HATE Christmas Day, with those terrible lights

(They shine into your eyes, and they shine much too bright)

You HATE Christmas Day, with those huge awful trees

(You think you’re allergic...they’re making you sneeze)

But you HATE most of all all those Christmasy toys

That bring Christmas morning that Christmasy noise

(Oh god, all the noise! All the noise, noise, NOISE, NOISE!)

(If there’s one thing you hate, it’s the noise, noise, NOISE, NOISE!!!!!!)

And tomorrow you know all those noises will start

As the presents bring joy to each Who child’s heart

And they’ll show all this joy (as Who children do)

By making loud noises and bothering you!

But as you are leaving earplugs by your bed

And preparing the pillows to cover your head

You realize there might be a thing you can do!

You can’t steal the presents (they’d know it was you)

But for fifty-three years you’ve been hearing this riot

And sometimes it’s louder! And sometimes more quiet!

For the more a Who child enjoys all their toys

The more they will make all that terrible noise

But what if—you think—they were feeling less glee?

Yes, that is the way, it’s so clear now you see!

For it’s long been tradition (among all the Whos)

That when you give presents, each child must get two

And it’s also tradition there (don’t ask me why)

To distribute them randomly, closing your eyes

So at night, when the Whos sleep and dream of their joy

You’ll creep in and rearrange all of those toys

And the very next morn, when the Who children wake,

They’ll run down the stairs and their presents they’ll take

But then, why, instead of the gifts that they’re hoping

You’ll give each one gifts that will make them start moping!

A doll for the Who who thinks dolls are for babies!

Puppies for the Whos who think they carry rabies!

And then, why at last, why on Christmas this year

You’ll sleep soothed by the sound of those Who children’s tears!

But the whisper, so soft, from your treacherous heart:

You could bring them more joy, and no more stand apart...

DATA & OBJECTIVE:

  • Each Who child has been given two presents. Based on long Who tradition, you believe these presents have historically been allocated among the children randomly.

  • You must allocate two presents to each child, and may not assign any child two of the same present, but other than that you may distribute the gifts however you wish.

  • Your goal is to minimize the amount of noise produced (by all children combined). You have a datasetof past presents received and noise made to help with this.

  • (You could instead/​also submit a solution where you invert the goal and try to maximize the noise. But why would you want to do that?)

The ten current Who children are:

NameAgeGender
Andy Sue Who12M
Betty Drew Who11F
Sally Sue Who11F
Phoebe Drew Who9F
Freddie Lou Who8M
Eddie Sue Who8M
Cindy Drew Who6F
Mary Lou Who6F
Ollie Lou Who5M
Johnny Drew Who4M

You have the following 20 toys to allocate among them (remember, exactly two toys to each child, and no child may get two of the same toy, or you’ll give yourself away!):

  • Four Blum-Bloopers

  • Four Fum-Foozlers

  • Two Gah-Ginkas

  • Three Sloo-Slonkers

  • Three Trum-Troopas

  • Four Who-Whonkers

An answer key and leaderboard will be posted on Monday the 10th (my holiday schedule permitting).

As usual, working together is allowed and encouraged, but for the sake of those who wish to work alone please spoiler-tag (type ‘>!’ at the start of a line) any comments with information on the dataset.

Thank you to abstractapplic for feedback on a draft of this! (For clarification, abstractapplic has no inside information on the dataset and can still play the scenario).