Cache-oblivious distribution sort

Okay kiddo, let me tell you a story about sorting things. When we have a lot of toys to organize, we usually put them in different bunches based on their type. For example, we put all the cars together, all the dolls together and so on. This is what sorting basically means - arranging things in a particular order.

Now imagine that we have a lot of toys to sort and we want to do it really fast. We can divide the toys into smaller groups and sort each group separately. This way, we are not overwhelmed by too many toys at the same time.

But there’s a problem. Sometimes, we may not have enough room to keep all the groups separate. It’s like having too many toys to fit in our toy box. So, we need to be really clever about how we group the toys.

This is where cache-oblivious distribution sort comes in. It’s a special way of sorting things that takes into account the amount of memory we have available, and the size of the toys we’re sorting. It’s like having a magic toy box that automatically organizes things in small groups that fit perfectly into the box.

The way it works is by dividing the toys into smaller groups, like we said earlier. But instead of deciding on the size of each group, it figures out the size automatically based on how much memory is available. This makes it really efficient because it doesn’t waste memory or time.

Cache-oblivious distribution sort is like having a sorting superpower! It can organize a lot of toys really quickly, without needing any special instructions on how to do it. It’s a really smart way of sorting things that makes our lives easier.