ADVANCED DATA STRUCTURES PROGRAM • LEVEL 9 — DISJOINT SETS

Find the First Redundant Edge

Learn how to find the first redundant edge using a clear C program.

IntermediateUnion-findConnectivity

PROBLEM UNDERSTANDING

Input and expected output

Sample input
No input required
Sample output
Redundant = 2-0

COMPLETE C PROGRAM

Complete C implementation

ads-dsu-redundant-edge.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(4);
    int edges[][2] = {{0, 1}, {1, 2}, {2, 0}, {2, 3}};
    for (int edge = 0; edge < 4; edge++) {
        int first = edges[edge][0], second = edges[edge][1];
        if (find_root(first) == find_root(second)) { printf("Redundant = %d-%d\n", first, second); break; }
        unite_rank(first, second);
    }
    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.

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EXPECTED OUTPUT FOR THE SAMPLE

Redundant = 2-0
0%Step 0 of 0

PROGRAM EXPLANATION

Algorithm and explanation

  1. Read the required input values.
  2. An edge is redundant when both endpoints already have the same representative.
  3. Display the computed result.

An edge is redundant when both endpoints already have the same representative.

EFFICIENCY

Time and space complexity

Time complexity

O(m alpha(n))

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.