ADVANCED DATA STRUCTURES PROGRAM • LEVEL 9 — DISJOINT SETS

Apply Union by Component Size

Learn how to apply union by component size using a clear C program.

IntermediateUnion-findConnectivity

PROBLEM UNDERSTANDING

Input and expected output

Sample input
No input required
Sample output
Component size = 4

COMPLETE C PROGRAM

Complete C implementation

ads-dsu-union-by-size.c
Open in compiler
#include <stdio.h>

int parent[10], rank_value[10], set_size[10];
void initialize(int count) { for (int i = 0; i < count; i++) { parent[i] = i; rank_value[i] = 0; set_size[i] = 1; } }
int find_root(int value) { return parent[value] == value ? value : (parent[value] = find_root(parent[value])); }
void unite_rank(int first, int second)
{
    first = find_root(first); second = find_root(second);
    if (first == second) return;
    if (rank_value[first] < rank_value[second]) { int temp = first; first = second; second = temp; }
    parent[second] = first; set_size[first] += set_size[second];
    if (rank_value[first] == rank_value[second]) rank_value[first]++;
}

int main(void)
{
    initialize(6);
    unite_rank(0, 1); unite_rank(2, 3); unite_rank(1, 3);
    printf("Component size = %d\n", set_size[find_root(2)]);
    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

Component size = 4
0%Step 0 of 0

PROGRAM EXPLANATION

Algorithm and explanation

  1. Read the required input values.
  2. Track component sizes and report the size stored at the representative.
  3. Display the computed result.

Track component sizes and report the size stored at the representative.

EFFICIENCY

Time and space complexity

Time complexity

O(alpha(n)) amortized

Auxiliary space

O(n)

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.