Question

What is the asymptotic performance of the given function below?

public static void displayArray(int [] theArray){
for(int i = 0; i < theArray.length; i++){
if (i%10 == 0){
System.out.println();
}
System.out.printf("%7d", theArray[i]);
}
System.out.println();
System.out.println();
}

Answer 1

The asymptotic performance of the given Java function is O(n), meaning the time complexity grows linearly with the size of the input array.

Step-by-step explanation:

The question is asking about the asymptotic performance of a function written in Java that prints out the elements of an array. The particular function iterates through each element of the array once and performs a constant number of operations for each, which means the time complexity of the function is O(n), where n is the size of the array. Despite the conditional check for whether the index is divisible by 10, which may suggest a potential additional complexity, this condition does not change the overall number of operations significantly—an operation of constant time is performed regardless. Therefore, the printing behavior does not impact the asymptotic analysis.