Quotient filter

A quotient filter is like a very special list that helps you remember if you've seen something before or not. Imagine you have a big bag of marbles, and you want to know if you already have a certain color of marble in the bag. One way to do this is to look through the whole bag every time you want to check for a certain color, but that would take a really long time if you have lots of marbles.

With a quotient filter, you can keep track of the colors of marbles you've already put in the bag, so you don't have to look through the whole bag every time. It's like having a special tool that helps you remember things quickly and easily, without having to do a lot of work.

The way a quotient filter works is that it's like a bunch of little boxes that can each hold one piece of information. When you put a new item in the filter (in this case, a new color of marble), it goes into one of the boxes in the filter. Each box has a special number associated with it, which helps the filter remember where things are.

When you want to see if you've already put a certain color of marble in the bag, you just look in the corresponding box in the quotient filter. If there's something in the box, you know you've already put that color of marble in the bag before. If there's nothing in the box, you know you haven't seen that color of marble yet.

The really cool thing about a quotient filter is that it takes up very little space, so you can use it to remember lots of different things without using up too much memory. It's like having a really big bag of marbles, but being able to easily remember which colors you already have in there, without having to dig through the whole bag every time.

So, a quotient filter is a special tool that helps you remember things quickly and easily, without using up too much space or memory. It's like having a bunch of little boxes that can each hold one piece of information, so you can check if you've seen something before without having to look through everything every time.