Go: // AOJ ALDS1_11_D: http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ALDS1_11_D

package main

import (
	"bufio"
	"container/list"
	"fmt"
	"os"
	"strconv"
)

var nocolor = -1

type graph struct {
	graph  [][]int
	colors []int
}

func nextInt(sc *bufio.Scanner) int {
	sc.Scan()
	v, _ := strconv.Atoi(sc.Text())
	return v
}

func newGraph(nodeNum int) *graph {
	colors := make([]int, nodeNum)
	g := make([][]int, nodeNum)
	for i := 0; i < nodeNum; i++ {
		g[i] = []int{}
		colors[i] = nocolor
	}

	return &graph{g, colors}
}

func constructGraph(sc *bufio.Scanner) *graph {
	usersNum := nextInt(sc)
	linkNum := nextInt(sc)

	g := newGraph(usersNum)
	for i := 0; i < linkNum; i++ {
		u := nextInt(sc) // node
		l := nextInt(sc) // link node
		// edge each other
		g.graph[u] = append(g.graph[u], l)
		g.graph[l] = append(g.graph[l], u)
	}
	return g
}

func (g *graph) dfs(r, color int) {
	g.colors[r] = color

	stack := list.New()
	stack.PushFront(r)

	for stack.Len() > 0 {
		v := stack.Remove(stack.Front()).(int)
		for _, u := range g.graph[v] {
			if g.colors[u] == nocolor {
				g.colors[u] = color
				stack.PushFront(u)
			}
		}
	}
}

func (g *graph) assignColor() {
	color := 1
	for u := 0; u < len(g.graph); u++ {
		if g.colors[u] == nocolor {
			g.dfs(u, color)
			color++
		}
	}
}

func (g *graph) isLink(s, t int) bool {
	return g.colors[s] == g.colors[t]
}

func main() {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)

	// construct graph and friendly colors
	g := constructGraph(sc)
	g.assignColor()

	// judge link
	q := nextInt(sc)
	for i := 0; i < q; i++ {
		s := nextInt(sc)
		t := nextInt(sc)

		if g.isLink(s, t) {
			fmt.Println("yes")
		} else {
			fmt.Println("no")
		}
	}
}

C++: #include <bits/stdc++.h>
using namespace std;

/* UnionFind：素集合系管理の構造体(union by size)
    isSame(x, y): x と y が同じ集合にいるか。 計算量はならし O(α(n))
    unite(x, y): x と y を同じ集合にする。計算量はならし O(α(n))
    treeSize(x): x を含む集合の要素数。
*/
struct UnionFind {
    vector<int> size, parents;
    UnionFind() {}
    UnionFind(int n) {  // make n trees.
        size.resize(n, 0);
        parents.resize(n, 0);
        for (int i = 0; i < n; i++) {
            makeTree(i);
        }
    }
    void makeTree(int x) {
        parents[x] = x;  // the parent of x is x
        size[x] = 1;
    }
    bool isSame(int x, int y) { return findRoot(x) == findRoot(y); }
    void unite(int x, int y) {
        x = findRoot(x);
        y = findRoot(y);
        if (size[x] > size[y]) {
            parents[y] = x;
            size[x] += size[y];
        } else {
            parents[x] = y;
            size[y] += size[x];
        }
    }
    int findRoot(int x) {
        if (x != parents[x]) {
            parents[x] = findRoot(parents[x]);
        }
        return parents[x];
    }
    int treeSize(int x) { return size[findRoot(x)]; }
};

int main() {
    int n, m;
    cin >> n >> m;

    UnionFind uf(n);
    for (int i = 0; i < m; i++) {
        int a, b;
        cin >> a >> b;
        uf.unite(a, b);
    }

    int q;
    cin >> q;
    vector<int> s(q), t(q);
    for (int i = 0; i < q; i++) {
        cin >> s.at(i) >> t.at(i);
    }

    for (int i = 0; i < q; i++) {
        if (uf.isSame(s[i], t[i])) {
            cout << "yes" << endl;
        } else {
            cout << "no" << endl;
        }
    }

    return 0;
}

C++: #include "bits/stdc++.h"
using namespace std;

typedef long long ll;
static const int MAX = 100000;
static const int NIL = -1;

int n;
vector<int> G[MAX];
int color[MAX];

// 深さ優先探索 r:頂点, c:色の番号
void dfs(int r, int c) {
	color[r] = c;

	for (int i = 0; i < G[r].size(); i++) {
		int v = G[r][i];
		if (color[v] == NIL) {
			color[v] = c;
			dfs(v, c);
		}
	}
}

void assignColor() {
	int id=1;
	// 色の初期化
	for(int i=0; i<n; i++) color[i]=NIL;
	// 事前にそれぞれの頂点の色分けをする
	for (int u = 0; u < n; u++) {
		// 色分けが行われていない頂点に新しい色を割り当てる
		if (color[u] == NIL) {
			dfs(u, id++);
		}
	}
}

int main() {
	int s,t,m,q;
	cin >> n >> m;

	for (int i = 0; i < m; i++) {
		cin >> s >> t;
		G[s].push_back(t);
		G[t].push_back(s);
	}

	assignColor();

	cin >> q;
	for (int i = 0; i < q; i++) {
		cin >> s >> t;
		if (color[s] == color[t]) {
			cout << "yes" << endl;
		}
		else {
			cout << "no" << endl;
		}
	}
}

C++: #include <string>
#include <vector>
#include <stack>
#include <iostream>
using namespace std;

static const int MAX =100000;
static const int NIL=-1;

int n;
vector<int> G[MAX];
int color[MAX];

void dsf(int r,int c){
  stack<int> S;
  S.push(r);
  color[r]=c;
  while(!S.empty()){
    int u=S.top();S.pop();
    for(int i=0;i<G[u].size();i++){
      int v=G[u][i];
      if(color[v]==NIL){
        color[v]=c;
        S.push(v);
      }
    }
  }
}

void assignColor(){
  int id=1;
  for(int i=0;i<n;i++) color[i]=NIL;
  for(int u=0;u<n;u++){
    if(color[u]==NIL)dfs(u,id++);
  }
}

int main (){
  int s,t,m,q;
  cin >> n >>m;
  for(int i=0;i<m;i++){
    cin >> s >> t;
    G[s].push_back(t);
    G[t].push_back(s);
  }

  assignColor();
  cin >>q;
  for(int i=0;i<q;i++){
    if(color[s]==color[t]){
      cout <<"yes"<< endl;
    }else{
      cout << "no" <<endl;
    }
  }

  return 0;
}

C++: #include <iostream>
#include <vector>
#include <algorithm>
#include <queue>
#include <stack>
#include <stdio.h>
#include <cmath>
#include <set>
#include <map>
using namespace std;

vector<vector<int> >g;
int n,m,q;

vector<bool>visited;
vector<int>color;
void dfs(int s){
    for(int i=0;i<g[s].size();i++){
        if(color[g[s][i]]==-1){
            color[g[s][i]]=color[s];
            dfs(g[s][i]);
        }
    }
}
int main() {
    cin>>n>>m;
    g.resize(n);
    color.resize(n,-1);
    for(int i=0;i<m;i++){
        int s,t;
        cin>>s>>t;
        g[s].push_back(t);
        g[t].push_back(s);
    }
    for(int i=0;i<n;i++){
        if(color[i]==-1){
            color[i]=i;
            dfs(i);
        }
    }
    cin>>q;
    for(int i=0;i<q;i++){
        int s,t;
        cin>>s>>t;
        cout<<(color[s]==color[t]?"yes":"no")<<endl;
    }
    return 0;
}

C++: #include "bits/stdc++.h"
using namespace std;
using ll = long long;
template <typename T>
void printv(const vector<T> &v){
    int sz = v.size();
    for (int i = 0; i < sz; i++){
        cout << v[i] << " \n"[i == sz - 1];
    }
}

struct UnionFind{
    vector<int> data;
    UnionFind(int size) : data(size, -1) {}
    bool unite(int x, int y){
        x = root(x);
        y = root(y);
        if (x != y){
            if (data[y] < data[x])
                swap(x, y);
            data[x] += data[y];
            data[y] = x;
        }
        return x != y;
    }
    bool find(int x, int y){
        return root(x) == root(y);
    }
    int root(int x){
        return data[x] < 0 ? x : data[x] = root(data[x]);
    }
    int size(int x){
        return -data[root(x)];
    }
};

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    int n, m;cin >> n >> m;
    UnionFind uf(n);
    for (int i = 0; i < m; i++){
        int s, t;
        cin >> s >> t;
        uf.unite(s, t);
    }
    int q;cin >> q;
    while (q--){
        int s, t;
        cin >> s >> t;
        cout << (uf.find(s, t) ? "yes" : "no") << endl;
    }
}