AlgorithmHandTracingPractice

Apr 25, 2021

Reference solutions🔗 Please let me know if you find any mistake.

2-3 tree:

insert this:	then remove
conquer	c, n, r
sparkling	k, l, g
tedious	e, i

Heap:

insert & build from bottom up, then remove min 3 times

21， 13， 26， 29， 6， 0， 16
4， 12， 17， 1， 16， 11， 20
20， 2， 15， 8， 4， 9， 8

Compact prefix tree:

insert this:

chalk, bedroom, cherries, unit, unused, chance
standing, connection, shirt, striped, shed, cream, corn

Construct tree from both preorder and post order: (just do one)

favour
sample
reward

Apr 26, 2021

Reference solutions🔗 Please let me know if you find any mistake.

B-trees

Insert into tree with degree of 4

[19, 4, 11, 16, 21, 26, 13, 0, 1, 2, 20]
[9, 10, 14, 28, 13, 5, 26, 25, 4, 12, 3, 20]

Insert into tree with degree of 5

[19, 4, 11, 16, 21, 26, 13, 0, 1, 2, 20, 3, 5]
[29, 26, 20, 28, 8, 10, 19, 16, 6, 18, 11, 22]

Serialization

Serialization of binary tree => construct tree back

AB/CDE//F////
ACD//E//BF//G//
AB//CD//EF//G//

Serialization of N-nary tree => construct tree back

ADB)HE)F)))CI))G))
BCF)D)HAE))F))I)))

Given binary tree => serialization

Given n-nary tree => serialization

Graph

run DFS and BFS on following graphs (traverse the node with smaller alphabetic order) :

For final May 18:

Reference solutions🔗

Note topological sort you may get quite different result based on where you start.

Disjoint set - show table:

- createSet(10)
- Union(0, 6)
- Union(6, 4)
- Union(9, 5)
- Union(3, 4)
- createSet(8)
- Union(6, 3)
- Union(0, 2)
- Union(7, 6)
- Union(7, 2)
- Union(1, 2)

Topological Sort

Topological Sort - show both with removing edge and the start/finish time method

Course	Prereq
L101	L100
L109	L101, L103
L103	L101
L105	L106, L104, L102
L102	L100
L104	L103, L101

Task	Need to finish before this task
BrewCoffee	BoilWater, GrindCoffee
BoilWater	FilterWater, HeatStove
Breakfast	BrewCoffee, MakePancake
MakePancake	PrepareEgg, HeatStove, FilterWater
GoToWork	Breakfast, CleanKitchen
CleanKitchen	PrepareEgg, MakePancake, BrewCoffee

mialsy / AlgorithmHandTracingPractice