What is the time complexity of this function / algorithm?void f(int n){ printf("n = %d\n", n);}
Question
What is the time complexity of this function / algorithm?
void f(int n){
printf("n = %d\n", n);
}
Solution
Breakdown of the Problem
- Understand the Function: The function
f
takes an integern
as input and prints its value. - Identify the Components: The only operation performed in this function is printing the value of
n
.
Relevant Concepts
- Time Complexity Definition: Time complexity is a computational complexity that describes the amount of time it takes to run an algorithm as a function of the length of the input.
Analysis and Detail
-
Single Operation: The function
f
executes a single print statement, which is a constant time operation. Therefore, regardless of the value ofn
, the time taken to execute this function does not change. -
Big O Notation: In Big O notation, a constant time operation is denoted as .
Verify and Summarize
- Calculation Verification: Since the only operation in the function does not depend on
n
, we can confidently state that the time complexity is constant.
Final Answer
The time complexity of the function is .
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