In this HackerEarth Merge the group's problem solution You are given an array A of N elements. Each element belongs to its own group initially.

You need to process the following two types of queries:

  1. X Y - The array elements which are at positions X and Y in array A merge their group.
  2. X - Print the maximum absolute difference of the array values that belong to the group of Xth elements of the array.


HackerEarth MHackerEarth Merge the groups problem solutionerge the groups problem solution


HackerEarth Merge the group's problem solution.

#include<bits/stdc++.h>
#define ll long long int
#define P 1000000007
#define endl "\n"
using namespace std;
template<class T>   
class UnionSet{
    struct subset{
        T parent;
        T ranked;
        T max;
        T min;
    };
    struct subset *subsets;
    T size;

    public:
        UnionSet(T size){
            this->size = size;
            this->subsets = (struct subset*)malloc((size+1)*sizeof(struct subset)); 
            for (T i = 0; i <= size; i++) { 
                this->subsets[i].parent = i; 
                this->subsets[i].ranked = 0;
            }
        }

        UnionSet(vector<T> &arr){
            this->size = arr.size();
            this->subsets = (struct subset*)malloc((size+1)*sizeof(struct subset)); 
            for (T i = 0; i < this->size; i++) { 
                this->subsets[i+1].parent = i+1; 
                this->subsets[i+1].ranked = 0;
                this->subsets[i+1].max = arr[i];
                this->subsets[i+1].min = arr[i];
            }   
        }

        T findRank(T index){
            T root = findParent(index);
            return this->subsets[root].ranked;
        }

        bool isConnected(T x, T y){
            T xroot = findParent(x);
            T yroot = findParent(y);
            if (xroot == yroot)
                return true;
            else
                return false;
        }

        T findParent(T index){
            if (this->subsets[index].parent != index) 
                this->subsets[index].parent = findParent(this->subsets[index].parent); 
            return this->subsets[index].parent; 
        }

        T getAbsDifference(T index){
            T parent_idx = findParent(index);
            return abs(this->subsets[parent_idx].max - this->subsets[parent_idx].min);
        }

        void unionOperation(T x, T y){ 
            T xroot = findParent(x);
            T yroot = findParent(y);
            if (this->subsets[xroot].ranked < this->subsets[yroot].ranked){
                this->subsets[xroot].parent = yroot;
                this->subsets[yroot].max = max(this->subsets[yroot].max, this->subsets[xroot].max);
                this->subsets[yroot].min = min(this->subsets[yroot].min, this->subsets[xroot].min);
            }
            else if (this->subsets[xroot].ranked > this->subsets[yroot].ranked){
                this->subsets[yroot].parent = xroot;
                this->subsets[xroot].max = max(this->subsets[xroot].max, this->subsets[yroot].max);
                this->subsets[xroot].min = min(this->subsets[xroot].min, this->subsets[yroot].min);
            }
            else{ 
                this->subsets[yroot].parent = xroot;
                this->subsets[xroot].ranked++;
                this->subsets[xroot].max = max(this->subsets[xroot].max, this->subsets[yroot].max);
                this->subsets[xroot].min = min(this->subsets[xroot].min, this->subsets[yroot].min);
            }
        }
};


int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(NULL);
    int n;
    cin>>n;
    vector<int> arr(n);
    for(int i=0;i<n;i++){
        cin>>arr[i];
    }
    UnionSet<int> uset(arr);
    int q, type, g1, g2;
    cin>>q;
    for(int i=0;i<q;i++){
        cin>>type;
        if (type == 1){
            cin>>g1>>g2;
            uset.unionOperation(g1, g2);
        }
        else{
            cin>>g1;
            cout<<uset.getAbsDifference(g1)<<endl;
        }
    }
}

Second solution

#include<bits/stdc++.h>
#define LL long long int
#define M 1000000007
#define endl "\n"
#define eps 0.00000001
LL pow(LL a,LL b,LL m){ a%=m;LL x=1,y=a;while(b > 0){if(b%2 == 1){x=(x*y);if(x>m) x%=m;}y = (y*y);if(y>m) y%=m;b /= 2;}return x%m;}
LL gcd(LL a,LL b){if(b==0) return a; else return gcd(b,a%b);}
LL gen(LL start,LL end){LL diff = end-start;LL temp = rand()%start;return temp+diff;}
using namespace std;
struct dsu {
    int parent;
    int max_val;
    int min_val;
    int rank;
} s[1000001];

int find_parent(int x) {
    if(s[x].parent != x) {
        return s[x].parent = find_parent(s[x].parent);
    }
    return x;
}

void join(int x,int y) {
    int px = find_parent(x);
    int py = find_parent(y);
    if(px == py)
        return;
    if(s[px].rank < s[py].rank) {
        swap(px, py);
        swap(x, y);
    }
    s[py].parent = px;
    s[px].min_val = min(s[px].min_val, s[py].min_val);
    s[px].max_val = max(s[px].max_val, s[py].max_val);
    if(s[px].rank == s[py].rank)
        ++s[px].rank;
}


int main()  {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n;
    cin >> n;
    for(int i = 1; i <= n; i++) {
        int val;
        cin >> val;
        s[i].parent = i;
        s[i].min_val = val;
        s[i].max_val = val;
    }
    int q;
    cin >> q;
    while(q--) {
        int query_type;
        cin >> query_type;
        if(query_type == 1) {
            int x, y;
            cin >> x >> y;
            join(x, y);
        }
        else {
            int x;
            cin >> x;
            int p = find_parent(x);
            cout << s[p].max_val - s[p].min_val << endl;
        }
    }
}