Problem:
Score : 100 points

Problem Statement

You are given an undirected graph with N vertices and 0 edges. Process Q queries of the following types.

0 u v: Add an edge (u, v).

1 u v: Print 1 if u and v are in the same connected component, 0 otherwise.

Constraints

1 \leq N \leq 200,000

1 \leq Q \leq 200,000

0 \leq u_i, v_i \lt N

Input

Input is given from Standard Input in the following format:

N Q
t_1 u_1 v_1
t_2 u_2 v_2
:
t_Q u_Q v_Q

出力

For each query of the latter type, print the answer.

Sample Input 1

4 7
1 0 1
0 0 1
0 2 3
1 0 1
1 1 2
0 0 2
1 1 3

Sample Output 1

0
1
0
1

Solution in C++ (GCC 9.2.1 with AC Library v1.1) (judge verdict: Accepted)

#include <bits/stdc++.h>
//#include <chrono>
//#pragma GCC optimize("Ofast")
using namespace std;
#define reps(i,s,n) for(int i = s; i < n; i++)
#define rep(i,n) reps(i,0,n)
#define Rreps(i,n,e) for(int i = n - 1; i >= e; --i)
#define Rrep(i,n) Rreps(i,n,0)
#define ALL(a) a.begin(), a.end()
#define fi first
#define se second
typedef long long ll;
typedef vector<ll> vec;
typedef vector<vec> mat;

ll N,M,H,W,Q,K,A,B;
string S;
typedef pair<ll, ll> P;
const ll INF = (1LL<<60);


int main() {
    class union_find{
            vector<long> parent, tree_size;
        public:
            union_find(unsigned long _n) : parent(_n), tree_size(_n, 1){
                for(unsigned long i = 0; i < _n; ++i)parent[i] = i;
            }
            ll find(ll x){
                while(parent[x] != x)x = parent[x] = parent[parent[x]];
                return x;
            }
            void merge(ll a, ll b){
                a = find(a);
                b = find(b);
    	    if(a==b) return;
                if(tree_size[a] < tree_size[b])swap(a, b);
                tree_size[a] += tree_size[b];
                parent[b] = a;
                return;
            }
    	bool same(ll a, ll b){
    	    a = find(a);
    	    b = find(b);
    	    return a == b;
    	}
        };
    //uf.mergeのように使う
    //ufはMAX_N+1でとるか、代入時に0-indexedにする
    cin>>N>>Q;
    union_find uf(N);
    rep(i, Q){
        int t, u, v;
        scanf("%d%d%d", &t, &u, &v);
        if(t == 0){
            uf.merge(u, v);
        }else{
            printf("%d\n", uf.same(u, v));
        }
    }
}