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Compilation Order

Understand how to apply topological sort to arrange classes for compilation based on their dependencies. This lesson helps you identify and implement the correct order to compile classes when given dependency pairs, a common coding interview pattern involving directed acyclic graphs.

Statement

There are a total of nn classes labeled with the English alphabet (AA, BB, CC, and so on). Some classes are dependent on other classes for compilation. For example, if class BB extends class AA, then BB has a dependency on AA. Therefore, AA must be compiled before BB.

Given a list of the dependency pairs, find the order in which the classes should be compiled.

Constraints:

  • Class name should be an uppercase character.
  • 00 \leq dependencies.length 676\leq 676
  • dependencies[i].length =2= 2
  • All dependency pairs should be unique.

Examples

In the above examples, the arrows represent the relationship between these classes. For example, the arrow ACA \rightarrow C shows that CC extends AA, and therefore, CC is dependent on AA.

Understand the problem

Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps us to check if you’re solving the correct problem:

Compilation Order

1.

Given the following list of dependencies, what is the order of compilation of classes?

Select all that apply.

dependencies = [A, B], [B, C], [A, D] Multi-select

A.

[A, B, C, D]

B.

[C, A, B, D]

C.

[C, B, D, A]

D.

[D, C, B, A]


1 / 3

Figure it out!

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Sequence - Vertical
Drag and drop the cards to rearrange them in the correct sequence.

1
2
3
4
5
6

Try it yourself

Implement your solution in the following coding playground:

Java
usercode > CompilationOrder.java
import java.util.*;
class CompilationOrder {
public static List<Character> findCompilationOrder(ArrayList<ArrayList<Character>> dependencies) {
// Replace this placeholder return statement with your code
return new ArrayList<Character>();
}
}
Compilation Order