How does a cute little creature like this turn into a thousand ugly monsters?
For your son’s sixth birthday,
you’ve promised to get him the cutest creature in creation:
It’s hard to believe
that it’s a cousin of the terrifying duddly
or the hideous fuddly.
They’re all members of the Wuddly species,
and the process of adoptingthem is deeply peculiar.
It takes 100 eggs to make a single animal in genus Wuddly.
When 100 eggs are placed togetherin an incubator,
they undergo egg fusion, and combinein the following way.
Blue and purple combine to make red eggs.
Red and blue combine to make purple eggs,
and red and purplecombine to make blue eggs.
The most plentiful eggs pair up first,
and if two piles are even,
an egg comes from one of them at random.
They keep combining untilthere’s just one left.
If the final egg is blue,
a Cuddly hatches out of it.
Purple eggs give you Duddlies,
and Red eggs give you Fuddlies.
The incubator currently has 99 eggs in it.
23个蓝色鸡蛋 33个紫色鸡蛋 和43个红色鸡蛋
23 are blue, 33 are purple,and 43 are red.
You can begin the process of egg fusion
by adding an egg of any color to the room.
When all the eggs have combinedinto a single egg,
the creature that hatches will bondwith you on sight,
which is why getting a Cuddlyis so important.
After all, you made a promise to your son.
Which color egg should you add to the incubator to get a cuddly?
Pause the video to figure it outfor yourself.
答案在 3 2 1
Answer in 3 Answer in 2 Answer in 1
It’s easy to get mixed up
with all the cuddlies, duddlies, and fuddlies
Cuddlies duddlies fuddlies
coming from different colored eggs.
If we ignore how many total eggs
of each color there are,
and just look at theprocess of egg fusion,
we might notice something thatwill make this problem simpler.
When two eggs fuse,
the number of eggs of each of those colors decreases by one,
and the number of the thirdcolor increases by one.
That means they all change parity,
or evenness and oddness,at the same time.
Right now all three piles are odd,
but you get to add an egg to one color,
which means that it’ll be even
and the other two will be odd.
Whichever color you choose
will always be the opposite parity of the other two piles:
odd when they’re even andeven when they’re odd,
since every egg fusion flips each pile’sparity simultaneously.
We want to end with 1 blue, 0 purple,
也无红色 或是奇数 偶数 偶数
and 0 red eggs, or odd, even, even.
That means we want the blue
egg pile to be the opposite parity
of the other two pilesat the start as well.
So you add a blue egg into the room,
and 99 egg fusions later,
only a single blue egg remains.
The Cuddly that hatches is sure to make
your 6-year-old as happy as can be.
Just be sure to follow theshopkeeper’s warning,
and never feed it after midnight.