ADVANCED DATA STRUCTURES PROGRAM • LEVEL 17 — ADVANCED HEAPS

Demonstrate a Fibonacci Heap Cut

Learn how to demonstrate a fibonacci heap cut using a clear C program.

AdvancedHeap variantsPriority queue

PROBLEM UNDERSTANDING

Input and expected output

Sample input

No input required

Sample output

New root = 5 Cut = Yes

COMPLETE C PROGRAM

Complete C implementation

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

struct Node{int key;struct Node*parent,*child,*next;};

int main(void)
{
    struct Node parent={10,NULL,NULL,NULL}, child={30,&parent,NULL,NULL};parent.child=&child;
    child.key=5;if(child.key<parent.key){parent.child=NULL;child.parent=NULL;child.next=&parent;}
    printf("New root = %d Cut = %s\n",child.key,child.parent?"No":"Yes");return 0;
}

CURRENT STEP

Select Start to walk through the important lines.

SELECTED LINE

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EXPECTED OUTPUT FOR THE SAMPLE

New root = 5 Cut = Yes

0%Step 0 of 0

PROGRAM EXPLANATION

Algorithm and explanation

Read the required input values.
Cut a node whose decreased key violates heap order and move it to the root list.
Display the computed result.

Cut a node whose decreased key violates heap order and move it to the root list.

EFFICIENCY

Time and space complexity

Time complexity

O(1) amortized decrease-key

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.