ADVANCED DATA STRUCTURES PROGRAM • LEVEL 16 — MULTIWAY SEARCH TREES

Scan a Key Range Across B+ Tree Leaves

Learn how to scan a key range across b+ tree leaves using a clear C program.

AdvancedB-treeMultiway search

PROBLEM UNDERSTANDING

Input and expected output

Sample input

No input required

Sample output

Range: 15 20 25 30 40

COMPLETE C PROGRAM

Complete C implementation

#include <stdio.h>
#include <stddef.h>

struct Leaf { int keys[3], count; struct Leaf *next; };

int main(void)
{
    struct Leaf third = {{40,50,60},3,NULL}, second = {{20,25,30},3,&third}, first = {{5,10,15},3,&second};
    int low = 12, high = 45; struct Leaf *leaf = &first; printf("Range:");
    while (leaf) { for (int i = 0; i < leaf->count; i++) if (leaf->keys[i] >= low && leaf->keys[i] <= high) printf(" %d", leaf->keys[i]); leaf = leaf->next; }
    putchar('\n'); return 0;
}

CURRENT STEP

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SELECTED LINE

No line selected

EXPECTED OUTPUT FOR THE SAMPLE

Range: 15 20 25 30 40

0%Step 0 of 0

PROGRAM EXPLANATION

Algorithm and explanation

Read the required input values.
Reach the first relevant leaf, then follow sibling links until keys exceed the upper bound.
Display the computed result.

Reach the first relevant leaf, then follow sibling links until keys exceed the upper bound.

EFFICIENCY

Time and space complexity

Time complexity

O(log n + output)

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.