Basis Lab

Keeping Things in Order

Putting It in Order in the First Place

Last timeAlways Knowing the Smallest

Merging two ordered runs is easy, so split the collection until the pieces are trivially ordered and merge back up. That costs n log n, and no comparison sort can beat it.

The whole course has assumed the items were already in order. This lesson

earns that assumption, from one move that is almost too simple to be worth a

name.

The lesson stops here

1 more paragraph to go

You have read the opening. The rest of the argument, the problems that check whether it landed, and the lines worth keeping at the end all come with a plan.

The first lesson of every course in the library reads the whole way through, free, so you can see exactly what the rest of them are.

See the planThe contents

This is the reading half

Starting the course gives you your own copy of it. Every idea on every page has problems standing under it, marked with a reason rather than a tick, and any sentence you do not believe can be opened and argued with. None of that can happen on a page nobody owns.

The contents

The rest of this course

  1. 01Halving the Search
  2. 02A Sorted List You Can Changeopening only
  3. 03When a Tree Degenerates Into a Listopening only
  4. 04Keeping It Balancedopening only
  5. 05Asking for Everything Betweenopening only
  6. 06Wide Trees and the Diskopening only
  7. 07Always Knowing the Smallestopening only
  8. 08Putting It in Order in the First Placeyou are here

Read alongside