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


class UnionFind:
    def __init__(self, node_size):
        self._node = node_size
        self.par = [i for i in range(self._node)]
        self.rank = [0] * self._node

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

    def unite(self, ver1, ver2):
        ver1, ver2 = self.find(ver1), self.find(ver2)
        if ver1 == ver2:
            return
        if self.rank[ver1] < self.rank[ver2]:
            ver1, ver2 = ver2, ver1
        self.par[ver2] = ver1
        if self.rank[ver1] == self.rank[ver2]:
            self.rank[ver1] += 1

    def same(self, ver1, ver2):
        return self.find(ver1) == self.find(ver2)

if __name__ == '__main__':
    n, m = map(int, sys.stdin.readline().split())
    uf = UnionFind(n)
    for i in range(m):
        s, t = map(int, sys.stdin.readline().split())
        uf.unite(s, t)
    q = int(sys.stdin.readline())
    for i in range(q):
        s, t = map(int, sys.stdin.readline().split())
        if uf.same(s, t):
            print("yes")
        else:
            print("no")

Python: import sys

sys.setrecursionlimit(10 ** 6)

def debug(x, table):
    for name, val in table.items():
        if x is val:
            print('DEBUG:{} -> {}'.format(name, val), file=sys.stderr)
            return None

def paint_col(adj, cols, i, col):
    cols[i] = col

    for child in adj[i]:
        if cols[child] == 0:
            paint_col(adj, cols, child, col)

def solve():
    n, m = map(int, input().split())
    adj = [[] for i in range(n)]

    for i in range(m):
        s, t = map(int, sys.stdin.readline().split())
        adj[s].append(t)
        adj[t].append(s)

    cols = [0] * n
    col = 1

    for i in range(n):
        if cols[i] == 0:
            paint_col(adj, cols, i, col)
            col += 1

    # debug(cols, locals())

    q = int(input())

    for i in range(q):
        s, t = map(int, sys.stdin.readline().split())

        if cols[s] == cols[t]:
            print('yes')
        else:
            print('no')

    pass

if __name__ == '__main__':
    solve()

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

Python: def connect(o,s,t):
    global ct
    if color[s]!="white" or ct==1:
        return
    if fr[o][t]==t:
        ct+=1
    color[s]="grey"
    for i in fr[s]:
        if i==-1:
            continue
        elif i==t or ct==1:
             ct+=1
             break
        else:
            fr[o][i]=i
            fr[i][o]=s
            connect(o,i,t)
            
n,m=map(int,raw_input().split())
fr=[[-1]*n for i in xrange(n)]
for i in xrange(m):
    s,t=map(int,raw_input().split())
    fr[s][t]=t
    fr[t][s]=s
q=input()
for i in xrange(q):
    ct=0
    color=["white"]*n
    s,t=map(int,raw_input().split())
    connect(s,s,t)
    if ct==0:
        print('no')
    else:
        print('yes')
        fr[s][t]=t
        fr[t][s]=s

Python: import sys
import itertools
sys.setrecursionlimit(1000000000)
from heapq import heapify,heappop,heappush,heappushpop
import math
import collections
import copy

class UnionFind():
    
    def __init__(self,n):
        self.n = n
        self.parents = [-1]*n #各要素の親要素の番号を格納するリスト
    
    #要素xが属するグループの根を返す
    def find(self,x):
        if self.parents[x]<0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]
    
    #要素xと要素yが属するグループを併合する   
    def union(self,x,y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return
        
        if self.parents[x]>self.parents[y]:
            x,y = y,x
        
        self.parents[x] += self.parents[y]
        self.parents[y] = x

    #要素xが属するグループのサイズを返す
    def size(self,x):
        return -self.parents[self.find(x)]
    
    #要素x,yが同じグループかどうかを返す
    def same(self,x,y):
        return self.find(x) == self.find(y)
    
    #要素xと同じグループのメンバーを返す
    def members(self,x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]
    
    #すべての根の要素を返す
    def roots(self):
        return [i for i,x in enumerate(self.parents) if x<0]
    
    #グループの数を返す
    def group_count(self):
        return len(self.roots())
    
    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}
    
    def __str__(self):
        return "\n".join("{}: {}".format(r,self.members(r)) for r in self.roots())


if __name__  == "__main__":
    input = sys.stdin.readline
    n,m = map(int,input().split())
    UF = UnionFind(n)
    for i in range(m):
        a,b = map(int,input().split())
        UF.union(a,b)
    q = int(input())
    for i in range(q):
        c,d = map(int,input().split())
        if UF.same(c,d):
            print("yes")
        else:
            print("no")

Python: import sys
input_lines = [[int(i) for i in line.split()] for line in sys.stdin.read().splitlines()]
[user_num, rel_num] = input_lines[0]
rel_list = input_lines[1:rel_num+1]
ques_num = input_lines[rel_num+1][0]
ques_list = input_lines[rel_num+2:]
color_list = [-1] * user_num
adja_list = [set() for i in range(user_num)]

def dfs(id, color):
    if color_list[id] == -1:
        color_list[id] = color
        for a_id in adja_list[id]:
            dfs(a_id, color)



for rel in rel_list:
    adja_list[rel[0]].add(rel[1])
    adja_list[rel[1]].add(rel[0])

color = 0
for id in range(user_num):
    dfs(id, color)
    color += 1

for ques in ques_list:
    if color_list[ques[0]] == color_list[ques[1]]:
        print('yes')
    else:
        print('no')