Answer Offline Connectivity Queries

#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(1, 2); unite_rank(4, 5);
    int queries[][2] = {{0, 2}, {0, 5}, {4, 5}};
    for (int index = 0; index < 3; index++)
        printf("%s%c", find_root(queries[index][0]) == find_root(queries[index][1]) ? "Yes" : "No", index == 2 ? '\n' : ' ');
    return 0;
}