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.
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
#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;
}CURRENT STEP
SELECTED LINE
EXPECTED OUTPUT FOR THE SAMPLE
Root = 10 Degree = 1 Child = 20
Step 0 of 0
PROGRAM EXPLANATION
Algorithm and explanation
- Read the required input values.
- Make the larger-key root a child of the smaller-key root and increase the resulting degree.
- 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.
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.
