ADVANCED DATA STRUCTURES PROGRAM • LEVEL 17 — ADVANCED HEAPS

Implement a D-Ary Max Heap

Learn how to implement a d-ary max heap using a clear C program.

AdvancedHeap variantsPriority queue

PROBLEM UNDERSTANDING

Input and expected output

Sample input
No input required
Sample output
Extracted: 50 40 30 20 15 10

COMPLETE C PROGRAM

Complete C implementation

ads-dary-max-heap.c
Open in compiler
#include <stdio.h>

void insert(int heap[], int *size, int value, int degree) { int index = (*size)++; heap[index] = value; while (index > 0) { int parent = (index - 1) / degree; if (heap[parent] >= heap[index]) break; int t = heap[parent]; heap[parent] = heap[index]; heap[index] = t; index = parent; } }
int extract_max(int heap[], int *size, int degree) { int answer = heap[0]; heap[0] = heap[--(*size)]; int index = 0; for (;;) { int best = index; for (int child = degree * index + 1; child <= degree * index + degree && child < *size; child++) if (heap[child] > heap[best]) best = child; if (best == index) break; int t = heap[index]; heap[index] = heap[best]; heap[best] = t; index = best; } return answer; }

int main(void)
{
    int heap[20], size = 0, values[] = {10, 40, 15, 30, 50, 20};
    for (int i = 0; i < 6; i++) insert(heap, &size, values[i], 3);
    printf("Extracted:"); while (size) printf(" %d", extract_max(heap, &size, 3)); putchar('\n'); 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

Extracted: 50 40 30 20 15 10
0%Step 0 of 0

PROGRAM EXPLANATION

Algorithm and explanation

  1. Read the required input values.
  2. Give every node d children and restore max-heap order along parent or best-child paths.
  3. Display the computed result.

Give every node d children and restore max-heap order along parent or best-child paths.

EFFICIENCY

Time and space complexity

Time complexity

O(log_d n) per operation

Auxiliary space

O(n)

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.