Problem:
Disjoint Set

Write a program which manipulates a disjoint set S = {S1, S2, . . . , Sk}.

First of all, the program should read an integer n, then make a disjoint set where each element consists of 0, 1, ... n−1 respectively.

Next, the program should read an integer q and manipulate the set for q queries. There are two kinds of queries for different operations:

unite(x, y): unites sets that contain x and y, say Sx and Sy, into a new set.

same(x, y): determine whether x and y are in the same set.

Input

n q
com1 x1 y1
com2 x2 y2
...
comq xq yq

In the first line, n and q are given. Then, q queries are given where com represents the type of queries. '0' denotes unite and '1' denotes same operation.

Output

For each same operation, print 1 if x and y are in the same set, otherwise 0, in a line.

Constraints

1 ≤ n ≤ 10000

1 ≤ q ≤ 100000

x ≠ y

Sample Input

5 12
0 1 4
0 2 3
1 1 2
1 3 4
1 1 4
1 3 2
0 1 3
1 2 4
1 3 0
0 0 4
1 0 2
1 3 0

Sample Output

0
0
1
1
1
0
1
1

Solution in C++14 (judge verdict: Accepted)

#include <bits/stdc++.h>

using namespace std;

using ll = long long;
using P = pair<ll, ll>;
using Graph = vector<vector<ll>>;
#define rep(i, n) for(ll i=0;i<(ll)(n);i++)
#define rep2(i, m, n) for(ll i=m;i<(ll)(n);i++)
#define rrep(i, n, m) for(ll i=n;i>=(ll)(m);i--)
const int dx[4] = {1, 0, -1, 0};
const int dy[4] = {0, 1, 0, -1};
const int ddx[8] = {0, 1, 1, 1, 0, -1, -1, -1};
const int ddy[8] = {1, 1, 0, -1, -1, -1, 0, 1};
const ll MOD = 1000000007;
const ll INF = 1000000000000000000L;
#ifdef __DEBUG

/**
 * For DEBUG
 * https://github.com/ta7uw/cpp-pyprint
 */
#include "cpp-pyprint/pyprint.h"

#endif
class UnionFind {
    vector<int> par;
    vector<int> rank;
    vector<int> size;
    vector<vector<int>> group;
public:
    UnionFind(int n = 1) {
        par.resize(n + 1);
        rank.resize(n + 1);
        size.resize(n + 1);
        group.resize(n + 1);
        for (int i = 0; i <= n; ++i) {
            par[i] = i;
            rank[i] = 0;
            size[i] = 1;
            group[i].push_back(i);
        }
    }

    int find(int x) {
        if (par[x] == x) {
            return x;
        } else {
            int r = find(par[x]);
            return par[x] = r;
        }
    }

    bool is_same(int x, int y) {
        return find(x) == find(y);
    }

    bool unit(int x, int y) {
        x = find(x);
        y = find(y);
        if (x == y) {
            return false;
        } else {
            if (rank[x] < rank[y]) {
                swap(x, y);
            }
            if (rank[x] == rank[y]) {
                ++rank[x];
            }
            par[y] = x;
            size[x] += size[y];
            return true;
        }
    }

    int get_size(int x) {
        return size[find(x)];
    }

    void merge(int x, int y) {
        x = find(x);
        y = find(y);
        if (group[x].size() > group[y].size()) {
            swap(x, y);
        }
        copy(group[y].begin(), group[y].end(), back_inserter(group[x]));
        group[y].clear();
        par[y] = x;
    }
};

void Main() {
    ll N, Q;
    cin >> N >> Q;
    UnionFind unionFind(N);
    rep(i, Q) {
        ll c, x, y;
        cin >> c >> x >> y;
        if (c) {
            cout << unionFind.is_same(x, y) << '\n';
        }else{
            unionFind.unit(x, y);
        }
    }
}

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    Main();
    return 0;
}