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")
		}
	}
}

Python: from collections import deque

n, m = map(int, input().split())
g = [set() for _ in range(n)]

while m:
    s, t = map(int, input().split())
    g[s].add(t)
    g[t].add(s)
    m -= 1


def find(s, t):
    global g
    queue = deque()
    queue.append((0, s))
    queue.append((1, t))
    visited = ([0] * n, [0] * n)
    visited[0][s] = 1
    visited[1][t] = 1

    def remember(visited, new):
        for i, v in enumerate(visited):
            if v:
                g[new].add(i)
                g[i].add(new)
        visited[new] = 1

    while queue:
        st, i = queue.popleft()
        for f in g[i]:
            if visited[not st][f]:
                return True
            if not visited[st][f]:
                remember(visited[st], f)
                queue.append((st, f))
    return False


q = int(input())
while q:
    s, t = map(int, input().split())
    print('yes' if find(s, t) else 'no')
    q -= 1

Python: n, m = map(int, input().split())
rootList = [-1 for i in range(n)]
 
def getRoot(x):
    if rootList[x] < 0:
        rootList[x] = x
        return x
    return getRoot(rootList[x])
 
 
def setSameRoot(x, y):
    x = getRoot(x)
    y = getRoot(y)
    if x != y:
        rootList[x], rootList[y] = min(x, y), min(x, y)
 
for i in range(m):
    s, t = map(int, input().split())
    setSameRoot(s, t)
q = int(input())
for i in range(q):
    s, t = map(int, input().split())
    print("yes" if getRoot(s) == getRoot(t) != -1 else "no")

Python: class UnionFind:
    def __init__(self,n):
        self.n = n
        self.p = [i for i in range(n)]
        self.rank = [0]*n

    def same(self,x,y):
        return self.root(x)==self.root(y)

    def root(self,x):
        if x!=self.p[x]:self.p[x] = self.root(self.p[x])
        return self.p[x]

    def unite(self,x,y):
        x = self.root(x)
        y = self.root(y)
        if self.rank[y]<self.rank[x]:
            self.p[y] = x
        else:
            self.p[x] = y
            if self.rank[y]==self.rank[x]:
                self.rank[y]+=1

def main():
    n,m = map(int,input().split())
    UF = UnionFind(n)
    for _ in range(m):
        a,b = map(int,input().split())
        UF.unite(a,b)
    q = int(input())
    for _ in range(q):
        a,b = map(int,input().split())
        if UF.same(a,b):print ('yes')
        else           :print ('no')


if __name__ == '__main__':
    main()

Python: from collections import deque


user_num,rer_num=map(int,input().split())
graph=[[] for loop in range(user_num)]

for loop in range(rer_num):
    user1,user2=map(int,input().split())
    graph[user1].append(user2)
    graph[user2].append(user1)

#group[user1]はuser1が属するグループ.同じグループに属するuser同士は互いに到達可能
group=[-1]*user_num

que=deque([])
que.append(0)
tmp_group=0
for user in range(user_num):
    if(group[user]==-1):
        que.append(user)
        group[user]=tmp_group
        while(1):
            user1=que.popleft()
            for user2 in graph[user1]:
                if(group[user2]==-1):
                    que.append(user2)
                    group[user2]=tmp_group
            if(len(que)==0):
                tmp_group+=1
                break

for loop in range(int(input())):
    user1,user2=map(int,input().split())
    if(group[user1]==group[user2]):
        print("yes")
    else:
        print("no")

Python: from collections import defaultdict
user_num, conn_num = (int(n) for n in input().split(" "))
conn = defaultdict(list)
for _ in range(conn_num):
    i, j = (int(n) for n in input().split(" "))
    conn[i].append(j)
    conn[j].append(i)
find = [-1 * n - 1 for n in range(user_num)]
query = int(input())
for q_num in range(query):
    one, theother = (int(n) for n in input().split(" "))
    if find[one] != find[theother] and find[one] < 0:
        queue = [one]
        find[one] = q_num
        while queue:
            new_queue = []
            for q in queue:
                for c in conn[q]:
                    if find[c] < 0:
                        new_queue.append(c)
                        find[c] = q_num
            queue = new_queue
    if find[one] == find[theother]:
        print("yes")
    else:
        print("no")

Python: from collections import deque


def CC():
    id=0
    color=["white" for i in range(n)]
    for j in range(n):
        if color[j]=="white":
            color[j]="gray"
            queue=deque([j])

            while len(queue)!=0:
                u=queue.popleft()
                for i in M[u]:
                    if color[i]=="white":
                        color[i]="gray"
                        queue.append(i)
                color[u]=str(id)
            id +=1

    return color


n,m=map(int,input().split())
M=[[] for i in range(n)]
for i in range(m):
    p,q=map(int,input().split())
    M[p].append(q)
    M[q].append(p)

color=CC()

for i in range(int(input())):
    a,b=map(int,input().split())
    print("yes" if color[a]==color[b] else "no")

Python: # Connected Components
from collections import defaultdict
import sys
sys.setrecursionlimit(1 << 25)  # 再起上限引き上げ

G = defaultdict(lambda: [])

# load data
N, M = list(map(int, input().split()))
color = {key: None for key in range(N)}  # 色というかグループ #intで表す #Noneは未訪問を示す
# graphをdefault dictで保持することにする。
for _ in range(M):
    s, t = list(map(int, input().split()))
    G[s].append(t)
    G[t].append(s)

def dfs(node: int, co: int):
    if color[node] is not None:
        return
    color[node] = co
    for n in G[node]:
        dfs(n, co)
    return

# すべてのnodeを開始点としてdfsで領域わけしてみる
c = 1
for node in G.keys():
    dfs(node, c)  # 訪問済みだったら色を塗り替えないというないようはdfs関数内の処理で吸収できる
    c += 1

# 問題に回答していく
Q = int(input())
for _ in range(Q):
    s, t = list(map(int, input().split()))
    if ((color[s] is not None) and (color[t] is not None)) and (color[s] == color[t]):
        # s,tも友達がいて、かつ同じグループだったら
        print('yes')
    else:
        print('no')