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.
PROBLEM UNDERSTANDING
Input and expected output
Sample input
No input required
Sample output
Component size = 4
COMPLETE C PROGRAM
Complete C implementation
#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;
}CURRENT STEP
SELECTED LINE
EXPECTED OUTPUT FOR THE SAMPLE
Component size = 4
Step 0 of 0
PROGRAM EXPLANATION
Algorithm and explanation
- Read the required input values.
- Track component sizes and report the size stored at the representative.
- 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.
