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# (judge verdict: Accepted)

using System;
using System.Linq;
using System.Diagnostics;
using System.Collections.Generic;
using static System.Math;
using MethodImplOptions = System.Runtime.CompilerServices.MethodImplOptions;
using MethodImplAttribute = System.Runtime.CompilerServices.MethodImplAttribute;
 
class P
{
    static void Main()
    {
        int[] nq = Console.ReadLine().Split().Select(int.Parse).ToArray();
        UnionFind uf = new UnionFind(nq[0]);
        for (int i = 0; i < nq[1]; i++)
        {
            int[] pab = Console.ReadLine().Split().Select(int.Parse).ToArray();
            if (pab[0] == 0) uf.TryUnite(pab[1], pab[2]);
            else Console.WriteLine(uf.Find(pab[1]) == uf.Find(pab[2]) ? "1" : "0");
        }
    }
}



class UnionFind
{
    public int Size { get; private set; }
    public int GroupCount { get; private set; }
    List<int> Sizes;
    List<int> Parent;
    public UnionFind(int count)
    {
        Size = 0;
        GroupCount = 0;
        Parent = new List<int>(count);
        Sizes = new List<int>(count);
        ExtendSize(count);
    }
    public bool TryUnite(int x, int y)
    {
        int xp = Find(x);
        int yp = Find(y);
        if (yp == xp) return false;
        if (Sizes[xp] < Sizes[yp])
        {
            var tmp = xp;
            xp = yp;
            yp = tmp;
        }
        GroupCount--;
        Parent[yp] = xp;
        Sizes[xp] += Sizes[yp];
        return true;
    }
    public IEnumerable<int> AllRepresents => Parent.Where(x => x == Parent[x]);
    public int GetSize(int x) => Sizes[Find(x)];
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public int Find(int x)
    {
        while (x != Parent[x])
        {
            Parent[x] = Parent[Parent[x]];
            x = Parent[x];
        }
        return x;
    }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public void ExtendSize(int treeSize)
    {
        if (treeSize <= Size) return;
        Parent.Capacity = treeSize;
        Sizes.Capacity = treeSize;
        while (Size < treeSize)
        {
            Parent.Add(Size);
            Sizes.Add(1);
            Size++;
            GroupCount++;
        }
    }
}