CodeBhavya

ADVANCED DATA STRUCTURES PROGRAM • LEVEL 16 — MULTIWAY SEARCH TREES

Calculate B-Tree Key Capacity by Height

Learn how to calculate b-tree key capacity by height using a clear C program.

AdvancedB-treeMultiway search

PROBLEM UNDERSTANDING

Input and expected output

Sample input
No input required
Sample output
Min keys = 53 Max keys = 215

COMPLETE C PROGRAM

Complete C implementation

ads-btree-capacity-calculator.c
Open in compiler
#include <stdio.h>

int main(void)
{
    int minimum_degree = 3, height = 3; long long minimum_keys = 1, maximum_keys = 1;
    for (int level = 0; level < height; level++) { minimum_keys *= minimum_degree; maximum_keys *= 2 * minimum_degree; }
    minimum_keys = 2 * minimum_keys - 1; maximum_keys -= 1;
    printf("Min keys = %lld Max keys = %lld\n", minimum_keys, maximum_keys); 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

Min keys = 53 Max keys = 215
0%Step 0 of 0

PROGRAM EXPLANATION

Algorithm and explanation

  1. Read the required input values.
  2. Apply B-tree branching limits to derive minimum and maximum keys at a chosen height.
  3. Display the computed result.

Apply B-tree branching limits to derive minimum and maximum keys at a chosen height.

EFFICIENCY

Time and space complexity

Time complexity

O(height)

Auxiliary space

O(1)

DEBUGGING CHECKLIST

Common mistakes

Check this

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.