ADVANCED DATA STRUCTURES PROGRAM • LEVEL 8 — PERFORMANCE ANALYSIS
Count Logarithmic Halving Steps
Learn how to count logarithmic halving steps using a clear C program.
PROBLEM UNDERSTANDING
Input and expected output
Sample input
No input required
Sample output
Operations = 6
COMPLETE C PROGRAM
Complete C implementation
#include <stdio.h>
int main(void)
{
int value = 64, operations = 0;
while (value > 1) { value /= 2; operations++; }
printf("Operations = %d\n", operations);
return 0;
}CURRENT STEP
Select Start to walk through the important lines.
SELECTED LINE
No line selected
EXPECTED OUTPUT FOR THE SAMPLE
Operations = 6
Step 0 of 0
PROGRAM EXPLANATION
Algorithm and explanation
- Read the required input values.
- Repeatedly halve the input and count how many reductions reach one.
- Display the computed result.
Repeatedly halve the input and count how many reductions reach one.
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.