Basis Lab

Keeping Things in Order

Wide Trees and the Disk

Last timeAsking for Everything Between

On a disk, reading one item and reading a thousand cost the same. That single fact reshapes the tree into something wide and shallow, which is the index inside every database.

Every cost so far has been counted in comparisons. Storage does not charge for

comparisons, and once the right thing is counted the structure has to change

shape.

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 Diskyou are here
  7. 07Always Knowing the Smallestopening only
  8. 08Putting It in Order in the First Placeopening only

Read alongside