ADVANCED DATA STRUCTURES PROGRAM • LEVEL 8 — PERFORMANCE ANALYSIS

Count N Log N Loop Operations

Learn how to count n log n loop operations using a clear C program.

IntermediateOperation countingAsymptotic analysis

PROBLEM UNDERSTANDING

Input and expected output

Sample input

No input required

Sample output

Operations = 24

COMPLETE C PROGRAM

Complete C implementation

#include <stdio.h>

int main(void)
{
    int operations = 0;
    for (int scale = 1; scale < 8; scale *= 2)
        for (int index = 0; index < 8; index++) operations++;
    printf("Operations = %d\n", operations);
    return 0;
}

CURRENT STEP

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EXPECTED OUTPUT FOR THE SAMPLE

Operations = 24

0%Step 0 of 0

PROGRAM EXPLANATION

Algorithm and explanation

Read the required input values.
Combine a logarithmic outer loop with a linear inner loop.
Display the computed result.

Combine a logarithmic outer loop with a linear inner loop.

EFFICIENCY

Time and space complexity

Time complexity

O(n log n)

Auxiliary space

O(1)

DEBUGGING CHECKLIST

Common mistakes

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Use the correct format specifier for every variable.

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Initialize variables before using their values.

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Check braces, semicolons and input order carefully.

Try it yourself

Practice: Run the program with the sample input, predict its output, and then test one boundary case of your own.