ADVANCED DATA STRUCTURES PROGRAM • LEVEL 17 — ADVANCED HEAPS

Link Equal-Degree Binomial Trees

Learn how to link equal-degree binomial trees using a clear C program.

AdvancedHeap variantsPriority queue

PROBLEM UNDERSTANDING

Input and expected output

Sample input
No input required
Sample output
Root = 10 Degree = 1 Child = 20

COMPLETE C PROGRAM

Complete C implementation

ads-binomial-heap-link.c
Open in compiler
#include <stdio.h>
#include <stddef.h>

struct Node { int key, degree; struct Node *child, *sibling; };
struct Node *link_trees(struct Node *first, struct Node *second) { if (first->key > second->key) { struct Node *t=first; first=second; second=t; } second->sibling=first->child; first->child=second; first->degree++; return first; }

int main(void)
{
    struct Node first={10,0,NULL,NULL}, second={20,0,NULL,NULL};
    struct Node *root = link_trees(&first, &second);
    printf("Root = %d Degree = %d Child = %d\n", root->key, root->degree, root->child->key); 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

Root = 10 Degree = 1 Child = 20
0%Step 0 of 0

PROGRAM EXPLANATION

Algorithm and explanation

  1. Read the required input values.
  2. Make the larger-key root a child of the smaller-key root and increase the resulting degree.
  3. Display the computed result.

Make the larger-key root a child of the smaller-key root and increase the resulting degree.

EFFICIENCY

Time and space complexity

Time complexity

O(1) link

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.