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 -*-
"""
Created on Sat Jul 14 10:14:13 2018
ALDS1_11_D
@author: maezawa
"""
import sys
sys.setrecursionlimit(10000)

n, m = list(map(int, input().split()))
v = [-1 for _ in range(n)]
stack = []
adj = [[] for _ in range(n)]
for i in range(m):
    s, t = list(map(int, input().split()))
    adj[s].append(t)
    adj[t].append(s)
#print(*adj, sep='\n')
def dfs(u, color):
    if v[u] > 0:
        return 0
    v[u] = color
    #print(u, current, stack)
    for k in adj[u]:
        if v[k] > 0:
            continue
        dfs(k, color)
    return 1

color = 1
for start in range(n):
    if dfs(start, color) == 1:
        color += 1
#for i in range(n):        
#    print('color:{} for node:{}'.format(i, v[i]))

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

Python: def tan(G,st,fi):
    global flag
    for i in range(len(G)):
        if G[st][i] == 1:
            if i == fi:
                flag = 1
            tan(G,i,fi)
    
n,m = list(map(int, input().split()))
G = [[0 for i in range(n)] for j in range(n)]

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

q = int(input())
ans = []
for i in range(q):
    Q = list(map(int, input().split()))
    st = Q[0]
    fi = Q[1]
    flag = 0
    tan(G,Q[0],Q[1])
    if flag==1:
        ans.append("yes")
    else:
        ans.append("no")
        
for i in range(q):
    print(ans[i])

Python: 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 = [[]]
c = 0
for i in range(n):
    if not i in group:
        que = [i]
        group[i] = c
        while len(que) > 0:
            u = que[0]
            for j in G[u]:
                if not j in group:
                    group[j] = que.append(j)
            del que[0]
        c += 1
    group.append([])

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: n, m = map(int, input().split())
rootList = [-1] * 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: def main():
    n=list(map(int,input().split()))
    n = n[1]
    friends=[]
    question=[]
    for i in range(n):
        a=tuple(map(int,input().split()))
        friends.append(a)
    m=int(input())
    for i in range(m):
        b=tuple(map(int,input().split()))
        question.append(b)
    for i in question:
        if i in friends:
            print("yes")
        else:
            print("no")
if __name__ == "__main__":
    main()

Python: from collections import deque


def bfs(root):
    global time
    Q = deque()
    distance[root] = 0
    Q.append(root)
    i = root
    while len(Q) > 0:
        i = Q.popleft()
        for v in range(n):
            if v in adjDict[i] and color[v] == 'white':
                Q.append(v)
                color[v] = 'gray'
                distance[v] = distance[i] + 1
        color[i] = 'black'
        label[i] = time


firstline = list(map(int, input().split()))

n = firstline[0]
adjDict = {i: [] for i in range(n)}
color = ['white'] * n
distance = [-1] * n
label = [-1] * n

m = firstline[1]
for _ in range(m):
    adj = list(map(int, input().split()))
    adjDict[adj[0]].append(adj[1])
    adjDict[adj[1]].append(adj[0])

time = 0
for i in range(n):
    if color[i] == 'white':
        bfs(i)
        time += 1

q = int(input())
for _ in range(q):
    question = list(map(int, input().split()))
    if label[question[0]] == label[question[1]]:
        print('yes')
    else:
        print('no')

Python: 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 = map(int,input().split())
color = {key: None for key in range(N)}
#graphをdefaultdictで保持することにする
for _ in range(M):
    s,t = map(int,input().split())
    G[s].append(t)
    G[t].append(s)

#隣接リストを基にたどり着ける友達をグループ化する。
def dfs(node:int, co:int):
    #終了条件、既に訪問済みなら訪問しない
    if color[node] is not None:
        return
    #処理
    color[node] = co
    for n in G[node]:
        dfs(n,co)

    return

#全てのnodeを開始点としてdfsで色分けしてみる
c = 1
for node in G.keys():
    dfs(node,c)
    c += 1

#問題への解答
Q = int(input())
for _ in range(Q):
    s,t = map(int,input().split())
    if (color[s] is not None) and (color[t] is not None) and (color[s] == color[t]):
        print('yes')
    else:
        print('no')

Python: #Union Find

#xの根を求める
def find(x):
    if par[x] < 0:
        return x
    else:
        par[x] = find(par[x])
        return par[x]
#xとyの属する集合の併合
def unite(x,y):
    x = find(x)
    y = find(y)
    
    if x == y:
        return False
    else:
        #sizeの大きいほうがx
        if par[x] > par[y]:
            x,y = y,x
        par[x] += par[y]
        par[y] = x
        return True

#xとyが同じ集合に属するかの判定
def same(x,y):
    return find(x) == find(y)

#xが属する集合の個数
def size(x):
    return -par[find(x)]

#初期化
#根なら-size,子なら親の頂点
n,m = map(int,input().split())
par = [-1]*n
for i in range(m):
  x,y = map(int,input().split())
  unite(x,y)

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