Basis Lab

Keeping Things in Order

When a Tree Degenerates Into a List

Last timeA Sorted List You Can Change

The shape of a search tree is decided by the order items arrive in, and the most ordinary arrival order of all, already sorted, turns it into a chain with no halving left.

The last lesson ended with a tree forty deep where the arithmetic promised

twenty. This lesson is about why, and about the much worse case hiding behind

it.

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 Listyou are here
  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 Placeopening only

Read alongside