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 Kotlin (1.3.71) (judge verdict: Accepted)

// package jp.atcoder.library.kotlin.dsu

import java.util.*

/**
 * Disjoint set union.
 */
class DSU(private val n: Int) {
    private val parentOrSize = IntArray(n)

    /**
     * Merge nodes.
     */
    fun merge(a: Int, b: Int): Int {
        if (a !in 0 until n) throw IndexOutOfBoundsException("a=$a")
        if (b !in 0 until n) throw IndexOutOfBoundsException("b=$b")
        var x = leader(a)
        var y = leader(b)
        if (x == y) return x
        if (-parentOrSize[x] < -parentOrSize[y]) {
            val tmp = x
            x = y
            y = tmp
        }
        parentOrSize[x] += parentOrSize[y]
        parentOrSize[y] = x
        return x
    }

    /**
     * True if two nodes are connected.
     */
    fun same(a: Int, b: Int): Boolean {
        if (a !in 0 until n) throw IndexOutOfBoundsException("a=$a")
        if (b !in 0 until n) throw IndexOutOfBoundsException("b=$b")
        return leader(a) == leader(b)
    }

    /**
     * Get its leader node.
     */
    fun leader(a: Int): Int {
        return if (parentOrSize[a] < 0) {
            a
        } else {
            parentOrSize[a] = leader(parentOrSize[a])
            parentOrSize[a]
        }
    }

    /**
     * A group's size.
     */
    fun size(a: Int): Int {
        if (a !in 0 until n) throw IndexOutOfBoundsException("" + a)
        return -parentOrSize[leader(a)]
    }

    /**
     * Group by leader.
     */
    fun groups(): ArrayList<ArrayList<Int>> {
        val leaderBuf = IntArray(n)
        val groupSize = IntArray(n)
        for (i in 0 until n) {
            leaderBuf[i] = leader(i)
            groupSize[leaderBuf[i]]++
        }
        val result = ArrayList<ArrayList<Int>>(n)
        for (i in 0 until n) {
            result.add(ArrayList(groupSize[i]))
        }
        for (i in 0 until n) {
            result[leaderBuf[i]].add(i)
        }
        result.removeIf { obj: ArrayList<Int> -> obj.isEmpty() }
        return result
    }

    init {
        Arrays.fill(parentOrSize, -1)
    }
}

private fun readLn() = readLine()!! // string line
private fun readInt() = readLn().toInt() // single int
private fun readStrings() = readLn().split(" ") // list of strings
private fun readInts() = readStrings().map { it.toInt() } // list of ints

fun main(args: Array<String>) {
    val (n, q) = readInts()
    val uf = DSU(n)

    repeat(q) {
        val (t, u, v) = readInts()
        if (t == 0)
            uf.merge(u, v)
        else
            println(if (uf.same(u, v)) 1 else 0)
    }
}