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: # -*- coding: utf-8 -*-
from collections import deque


if __name__ == '__main__':

    n, m = [int(s) for s in input().split(" ")]
    M = [set() for j in range(n)]
    for _ in range(m):
        u, v = [int(s) for s in input().split(" ")]
        M[u].add(v)
        M[v].add(u)
        
    color = [0] * n
    def dfs(u, c):  # depth-first search
        color[u] = c
        for v in M[u]:
            if color[v] == 0:
                dfs(v, c)
    
    c = 1
    for u in range(n):
        if color[u] == 0:
            dfs(u, c)
            c += 1
    
    l = int(input())
    for _ in range(l):
        p, q = [int(s) for s in input().split(" ")]
        if color[p] == color[q]:
            print("yes")
        else:
            print("no")

Python: def DFS(s, j):
    group[s] = j
    for i in range(n):
        if i in G[s] and group[i] == 0:
            DFS(i, j)

n, m = map(int, input().split())
G = [[] for j in range(n)]

for i in range(m):
    s, t = map(int, input().split())
    G[s].append(t)
    G[t].append(s)

group = [0 for i in range(n)]
j = 1
for i in range(n):
    if group[i] == 0:
        DFS(i, j)
        j += 1

q = int(input())
for i in range(q):
    s, t = map(int, input().split())
    if group[s] == group[t]:
        print("yes")
    else:
        print("no")

Python: # -*- coding: utf-8 -*-
from collections import deque

N, M = tuple(map(int, input().split()))
adj = [[] for n in range(N)]

for _ in range(M):
    inp = tuple(map(int, input().split()))
    adj[inp[0]].append(inp[1])
    adj[inp[1]].append(inp[0])

unsearched = set(range(N))
colors = {n:-1 for n in range(N)}
color = -1
while len(unsearched):
    color += 1
    start = min(unsearched)
    unsearched.remove(start)
    searched = set([start])
    
    que = deque([start])
    while len(que):
        q = que.pop()
        next_ = [i for i in adj[q] if  not (i in searched)]
        searched.update(next_)
        unsearched = unsearched.difference(searched)
        que.extendleft(next_)
    for n in searched:
        colors[n] = color
    
Q = int(input())

for i in range(Q):
    question = tuple(map(int, input().split()))
    if colors[question[0]] == colors[question[1]]:
        print("yes")        
    else:
        print("no")

Python: n, m = map(int, input().split())
relations = [[] for _ in range(n)]

for i in range(m):
    s, t = map(int, input().split())
    if s > t:
        s, t = t, s
    relations[s] += [t]
friend_id = [None] * n
for s, t in enumerate(relations):
    if t:
        queue = [s]
        while len(queue):
            k = queue.pop()
            friend_id[k] = s
            queue += relations[k]
            relations[k] = []

q = int(input())
for i in range(q):
    s, t = map(int, input().split())
    print('yes' if friend_id[s] and friend_id[s] == friend_id[t] else'no')

Python: from collections import deque
n,m = map(int,input().split())
G = [[] for _ in range(n)]
for i in range(m):
    s,t = map(int,input().split())
    s -= 1
    t -= 1
    G[s].append(t)
    G[t].append(s)

uni = [-1]*n
stk = deque()
def dfs(u,c):
    stk.append(u)
    while stk:
        u = stk.pop()
        uni[u] = c
        for v in G[u]:
            if uni[v] != -1: continue
            stk.append(v)

c = 0
for i in range(n):
    if uni[i] == -1:
        dfs(i,c)
        c += 1

q = int(input())
ans = ["no"]*q
for i in range(q):
    s,t = map(int,input().split())
    s -= 1
    t -= 1
    if uni[s] == uni[t]: ans[i] = "yes"

print("\n".join(ans))

Python: #coding:utf-8
#16D8101012J Ito Jun dj Python3

class UnionFind:
    def __init__(self,n):
        self.parent=[i for i in range(n+1)]
        self.rank=[0]*(n+1)
    def find(self,x):
        if self.parent[x] == x: # if x is x`s root
            return x
        else:
            self.parent[x] = self.find(self.parent[x])
            return self.parent[x]
    def is_same_tree(self,x,y):
        return self.find(x) == self.find(y) 
    def union(self,x,y):
        x=self.find(x)
        y=self.find(y)
        if self.rank[x] < self.rank[y]:
            self.parent[x] = y
        else:
            self.parent[y] = x
        if self.rank[x] == self.rank[y]:
            self.rank[x] += 1
        
def main():
    n=list(map(int,input().split()))
    union=UnionFind(n[0])
    friends=[]
    question=[]
    for i in range(n[1]):
        a=tuple(map(int,input().split()))
        friends.append(a)
    for i in friends:
        union.union(i[0],i[1])
    m=int(input())
    for i in range(m):
        b=tuple(map(int,input().split()))
        question.append(b)
    for i in question:
        if union.find(i[0]) == union.find(i[1]):
            print("yes")
        else:
            print("no")
if __name__ == "__main__":
    main()

Python: # -*- coding: utf-8 -*-
from collections import deque
import sys
sys.setrecursionlimit(100000)


if __name__ == '__main__':

    n, m = [int(s) for s in input().split(" ")]
    M = [set() for j in range(n)]
    for _ in range(m):
        u, v = [int(s) for s in input().split(" ")]
        M[u].add(v)
        M[v].add(u)
        
    color = [0] * n
    def dfs(u, c):  # depth-first search
        color[u] = c
        for v in M[u]:
            if color[v] == 0:
                dfs(v, c)
    
    c = 1
    for u in range(n):
        if color[u] == 0:
            dfs(u, c)
            c += 1
    
    l = int(input())
    for _ in range(l):
        p, q = [int(s) for s in input().split(" ")]
        if color[p] == color[q]:
            print("yes")
        else:
            print("no")