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: import sys
sys.setrecursionlimit(10**6)


class UnionFindTree:
    """Disjoint-Set Data Structure
       Union-Find Tree
       complexity:
          init: O(n)
          find, unite, same: O(alpha(n))
       used in SRM505 div.2 900, ATC001 A, DSL1A(AOJ)
    """
    def __init__(self, n):
        self.par = list(range(n))  # parent
        self.rank = [0] * n  # depth of tree

    def find(self, x):
        if self.par[x] == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x, y = self.find(x), self.find(y)
        if x == y:
            return
        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

V, E = map(int, input().split())
uf = UnionFindTree(V)
for _ in range(E):
    uf.unite(*map(int, input().split()))
for _ in range(int(input())):
    print('yes' if uf.same(*map(int, input().split())) else 'no')

Python: def DFS(s):
    flag[s] = 1
    group[j] += s
    for i in range(n):
        if G[s] == i and flag[i] == 0:
                DFS(i)
 

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] += t
    G[t] += s

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

q = int(input())
ans = ["no" for i in range(q)]
for i in range(q):
    s, t = map(int, input().split())
    for friends in F:
        if s in friends and t in friends:
            ans[i] = "yes"

for i in range(q):
    print(ans[i])

Python: n, m = map(int,input().split())

g = {}
for i in range(m):
    s,t = map(int,input().split())
    val = g.get(s,[])
    val.append(t)
    g[s] = val
    val = g.get(t,[])
    val.append(s)
    g[t] = val

def dfs(g, s, done=[]):
    if s in done:
        return
    done.append(s)
    for c in g[s]:
        dfs(g, c, done)
    return done

q = int(input())

n = set(g.keys())
cc = []
while n != set([]):
    t = n.pop()
    d = dfs(g, t, [])
    cc.append(d)
    n = n - set(d)

for j in range(q):
    s,t = map(int,input().split())
    k = True
    for c in cc:
        if s in c and t in c:
            print('yes')
            k = False
            break
    if k: print('no')

Python: def dfs(r, c):
    global c, color, G
    S = [r]
    color[r] = c
    while (0 < len(S)):
        u = S.pop()
        for u in G[u]:
            v = color[u]
            if (v == None):
                color[u] = c
                S.append(u)
 
def assignColor():
    global c, color, G, n
    c = 1
    for i in range(n):
        if (color[i] == None):
            dfs(i, c)
            c += 1
 
n, m = list(map(int, input().split()))
 
G = [None for i in range(n)]
for i in range(m):
    s, t = list(map(int, input().split()))
    G[s].append(t)
    G[t].append(s)
 
color = [False for i in range(n)]
 
assignColor()
 
q = int(input())

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

Python: def bfs(graph, start, goal, connection):
    visited = {start: None}
    unvisited = [start]
    while unvisited:
        now = unvisited[0]
        if now == goal or (1000000*now + goal) in connection:
            connection[1000000*start + goal] = 1
            return "yes"
        unvisited = unvisited[1:]
        for next in graph[now][1:]:
            if not (next in visited):
                unvisited.append(next)
                visited[next] = now
    return "no"

n, m = map(int, input().split())
g = [[i] for i in range(n)]
c = {}

for i in range(m):
    inp = list(map(int, input().split()))
    g[inp[0]].append(inp[1])
    g[inp[1]].append(inp[0])

q = int(input())

for i in range(q):
    s, t = map(int, input().split())
    print(bfs(g, s, t, c))

Python: from collections import deque

n, m = map(int, input().split())

G = [[] for i in range(n)]
check = [0 for i in range(n)]


def bfs(s, c):
    q = deque()

    check[s] = 1
    q.append(s)

    while len(q) != 0:
        u = q.popleft()
        for v in range(len(G[u])):
            if check[G[u][v]] == 0:
                check[G[u][v]] = 1
                q.append(G[u][v])

        check[u] = c


def main():
    for i in range(m):
        a, b = map(int, input().split())
        G[a].append(b)
        G[b].append(a)

    cnt = 2
    for i in range(n):
        if check[i] == 0:
            bfs(i, cnt)
            cnt += 1

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


if __name__ == '__main__':
    main()

Python: # AOJ ALDS1_11_D Connected Components
# Python3 2018.6.23 bal4u

# UNION-FIND library
class UnionSet:
	def __init__(self, nmax):
		self.size = [1]*nmax
		self.id = [i for i in range(nmax+1)]
	def root(self, i):
		while i != self.id[i]:
			self.id[i] = self.id[self.id[i]]
			i = self.id[i]
		return i
	def connected(self, p, q): return self.root(p) == self.root(q)
	def unite(self, p, q):
		i, j = self.root(p), self.root(q)
		if i == j: return
		if self.size[i] < self.size[j]:
			self.id[i] = j
			self.size[j] += self.size[i]
		else:
			self.id[j] = i
			self.size[i] += self.size[j]
# UNION-FIND library

n, m = map(int, input().split())
u = UnionSet(n)
for i in range(m):
	s, t = map(int, input().split())
	u.unite(s, t)
q = int(input())
for i in range(q):
	s, t = map(int, input().split())
	print("yes" if u.connected(s, t) else "no")