Multiple interface extension in Typescript - Time & Space Complexity

Time Complexity: Multiple interface extension

O(1)

Understanding Time Complexity

We want to understand how the time it takes to run code changes when using multiple interface extensions in TypeScript.

Specifically, how does combining interfaces affect the work the program does?

Scenario Under Consideration

Analyze the time complexity of the following code snippet.

interface A {
  methodA(): void;
}
interface B {
  methodB(): void;
}
interface C extends A, B {
  methodC(): void;
}

function useC(obj: C) {
  obj.methodA();
  obj.methodB();
  obj.methodC();
}
    

This code shows an interface C that extends two interfaces A and B, combining their methods. Then a function calls all methods from C.

Identify Repeating Operations

Identify the loops, recursion, array traversals that repeat.

• Primary operation: Calling three methods on the object.
• How many times: Exactly three calls, no loops or recursion.

How Execution Grows With Input

Since the number of method calls is fixed, the work does not grow with input size.

Input Size (n)	Approx. Operations
10	3
100	3
1000	3

Pattern observation: The number of operations stays the same no matter how big the input is.

Final Time Complexity

Time Complexity: O(1)

This means the time to run the code stays constant regardless of input size.

Common Mistake

[X] Wrong: "Extending multiple interfaces makes the code slower as input grows."

[OK] Correct: The interface extension only combines method types; it does not add loops or repeated work, so execution time stays constant.

Interview Connect

Understanding how interface extension affects code helps you explain design choices clearly and shows you know how TypeScript structures work without adding hidden costs.

Self-Check

"What if the function useC called the methods inside a loop over an array of objects? How would the time complexity change?"

Practice

1. What does interface C extends A, B mean in TypeScript?

easy

A. Interface C is unrelated to interfaces A and B.

B. Interface C can only have properties from A or B, not both.

C. Interface C replaces interfaces A and B completely.

D. Interface C includes all properties from interfaces A and B.

Solution

1. Step 1: Understand interface extension

   When an interface extends others, it inherits all their properties.

2. Step 2: Apply to multiple interfaces

   Extending both A and B means C has all properties from both interfaces combined.

3. Final Answer:

   Interface C includes all properties from interfaces A and B. -> Option D

4. Quick Check:

   Multiple interface extension = combined properties [OK]

Hint: Extending multiple interfaces merges all their properties [OK]

Common Mistakes:

• Thinking extension replaces interfaces
• Believing only one interface's properties are included
• Confusing extension with implementation

2. Which of the following is the correct syntax to extend two interfaces A and B in TypeScript?

easy

A. interface C extends A, B {}

B. interface C extends (A & B) {}

C. interface C implements A, B {}

D. interface C inherits A, B {}

Solution

1. Step 1: Recall TypeScript interface extension syntax

   Interfaces extend others using extends followed by comma-separated interfaces.

2. Step 2: Check each option

   interface C extends A, B {} uses correct syntax: interface C extends A, B {}. Others are invalid syntax.

3. Final Answer:

   interface C extends A, B {} -> Option A

4. Quick Check:

   Correct syntax uses extends with commas [OK]

Hint: Use 'extends A, B' to extend multiple interfaces [OK]

Common Mistakes:

• Using implements instead of extends for interfaces
• Using parentheses or & inside extends
• Using 'inherits' keyword which doesn't exist

3. Given the code:

interface A { x: number; }
interface B { y: string; }
interface C extends A, B { z: boolean; }
const obj: C = { x: 10, y: "hello", z: true };

What is the type of obj?

medium

A. { x: number; z: boolean; }

B. { x: number; y: string; z: boolean; }

C. { y: string; z: boolean; }

D. { x: number; y: string; }

Solution

1. Step 1: Understand interface C extension

   Interface C extends A and B, so it has properties x (number), y (string), and its own z (boolean).

2. Step 2: Analyze object type

   The object has all three properties with correct types, matching combined interface C.

3. Final Answer:

   { x: number; y: string; z: boolean; } -> Option B

4. Quick Check:

   Extended interface properties combine in object type [OK]

Hint: Extended interfaces combine all properties in the new type [OK]

Common Mistakes:

• Ignoring properties from one of the extended interfaces
• Missing the new property z in interface C
• Confusing property types

4. What is wrong with this code?

interface A { a: number; }
interface B { b: string; }
interface C extends A, B {}
const obj: C = { a: 5 };

medium

A. Property 'b' is missing in object assigned to type C.

B. Interface C cannot extend two interfaces.

C. Property 'a' should be a string, not number.

D. Object syntax is invalid.

Solution

1. Step 1: Check interface C properties

   Interface C extends A and B, so it requires properties 'a' (number) and 'b' (string).

2. Step 2: Check object assigned to C

   The object only has 'a', missing required 'b' property, causing a type error.

3. Final Answer:

   Property 'b' is missing in object assigned to type C. -> Option A

4. Quick Check:

   All extended interface properties must be present [OK]

Hint: All properties from extended interfaces must be included [OK]

Common Mistakes:

• Assuming extending multiple interfaces is invalid
• Ignoring missing properties in object
• Confusing property types

5. You have interfaces:

interface Name { first: string; last: string; }
interface Contact { email: string; phone: string; }
interface Employee extends Name, Contact { id: number; }

Which object correctly implements Employee?

hard

A. { email: "[e-mail]", phone: "123-456", id: 101 }

B. { first: "Jane", last: "Doe", id: 101 }

C. { first: "Jane", last: "Doe", email: "[e-mail]", phone: "123-456", id: 101 }

D. { first: "Jane", last: "Doe", email: "[e-mail]", id: 101 }

Solution

1. Step 1: List required properties of Employee

   Employee extends Name and Contact, so it needs first, last, email, phone, and also id.

2. Step 2: Check each object for all required properties

   Only { first: "Jane", last: "Doe", email: "[e-mail]", phone: "123-456", id: 101 } has all five properties with correct types.

3. Final Answer:

   { first: "Jane", last: "Doe", email: "[e-mail]", phone: "123-456", id: 101 } -> Option C

4. Quick Check:

   All extended interface properties plus own must be present [OK]

Hint: Include all properties from all extended interfaces plus new ones [OK]

Common Mistakes:

• Missing some properties from extended interfaces
• Confusing which properties belong to which interface
• Leaving out the new property id