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ADVANCED DATA STRUCTURES PROGRAM • LEVEL 8 — PERFORMANCE ANALYSIS

Compare Common Growth Rates

Learn how to compare common growth rates using a clear C program.

IntermediateOperation countingAsymptotic analysis

PROBLEM UNDERSTANDING

Input and expected output

Sample input
No input required
Sample output
Linear = 8 Quadratic = 64 Log2 = 3

COMPLETE C PROGRAM

Complete C implementation

ads-compare-growth-rates-table.c
Open in compiler
#include <stdio.h>

int main(void)
{
    int n = 8, logarithm = 0;
    for (int value = n; value > 1; value /= 2) logarithm++;
    printf("Linear = %d Quadratic = %d Log2 = %d\n", n, n * n, logarithm);
    return 0;
}

GUIDED CODE TOUR • NOT LIVE EXECUTION

Study the program line by line

Use the real compiler button above to run and debug with different inputs.

CURRENT STEP

Select Start to walk through the important lines.

SELECTED LINE

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EXPECTED OUTPUT FOR THE SAMPLE

Linear = 8 Quadratic = 64 Log2 = 3
0%Step 0 of 0

PROGRAM EXPLANATION

Algorithm and explanation

  1. Read the required input values.
  2. Calculate representative operation counts for linear, quadratic and logarithmic algorithms.
  3. Display the computed result.

Calculate representative operation counts for linear, quadratic and logarithmic algorithms.

EFFICIENCY

Time and space complexity

Time complexity

O(log n)

Auxiliary space

O(1)

DEBUGGING CHECKLIST

Common mistakes

Check this

Use the correct format specifier for every variable.

Check this

Initialize variables before using their values.

Check this

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.