ADVANCED DATA STRUCTURES PROGRAM • LEVEL 16 — MULTIWAY SEARCH TREES

Follow a Search Path in a B-Tree

Learn how to follow a search path in a b-tree using a clear C program.

AdvancedB-treeMultiway search

PROBLEM UNDERSTANDING

Input and expected output

Sample input

No input required

Sample output

Child = 1 Slot = 1 Found = Yes

COMPLETE C PROGRAM

Complete C implementation

#include <stdio.h>

struct Node { int keys[3], count; struct Node *child[4]; };

int main(void)
{
    struct Node left = {{5,10},2,{0}}, middle = {{25,30},2,{0}}, right = {{45,60},2,{0}};
    struct Node root = {{20,40},2,{&left,&middle,&right}}; int target = 30, child = 0;
    while (child < root.count && target > root.keys[child]) child++;
    struct Node *leaf = root.child[child]; int slot = 0; while (slot < leaf->count && leaf->keys[slot] < target) slot++;
    printf("Child = %d Slot = %d Found = %s\n", child, slot, slot < leaf->count && leaf->keys[slot] == target ? "Yes" : "No"); return 0;
}

CURRENT STEP

Select Start to walk through the important lines.

SELECTED LINE

No line selected

EXPECTED OUTPUT FOR THE SAMPLE

Child = 1 Slot = 1 Found = Yes

0%Step 0 of 0

PROGRAM EXPLANATION

Algorithm and explanation

Read the required input values.
Choose a child using root separators and repeat the ordered search inside the selected leaf.
Display the computed result.

Choose a child using root separators and repeat the ordered search inside the selected leaf.

EFFICIENCY

Time and space complexity

Time complexity

O(height * node keys)

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.