Problem:


  MathJax.Hub.Config({ tex2jax: { inlineMath: [["$","$"], ["\\(","\\)"]], processEscapes: true }});

Connected Components

  Write a program which reads relations in a SNS (Social Network Service), and judges that given pairs of users are reachable each other through the network.

Input

  In the first line, two integer $n$ and $m$ are given. $n$ is the number of users in the SNS and $m$ is the number of relations in the SNS. The users in the SNS are identified by IDs $0, 1, ..., n-1$.

  In the following $m$ lines, the relations are given. Each relation is given by two integers $s$ and $t$ that represents $s$ and $t$ are friends (and reachable each other).

  In the next line, the number of queries $q$ is given. In the following $q$ lines, $q$ queries are given respectively. Each query consists of two integers $s$ and $t$ separated by a space character.

Output

  For each query, print "yes" if $t$ is reachable from $s$ through the social network, "no" otherwise.

Constraints

$2 \leq n \leq 100,000$

$0 \leq m \leq 100,000$

$1 \leq q \leq 10,000$

Sample Input

10 9
0 1
0 2
3 4
5 7
5 6
6 7
6 8
7 8
8 9
3
0 1
5 9
1 3

Sample Output

yes
yes
no



Sample input:
10 9
0 1
0 2
3 4
5 7
5 6
6 7
6 8
7 8
8 9
3
0 1
5 9
1 3


Sample output:
yes
yes
no

Submission status: Time Limit Exceeded

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


if __name__ == '__main__':

    n, m = [int(s) for s in input().split(" ")]
    M = [[] for j in range(n)]
    for _ in range(m):
        u, v = [int(s) for s in input().split(" ")]
        M[u].append(v)
        M[v].append(u)
        
    color = [0] * n
    def dfs(u, c):  # depth-first search
        color[u] = c
        for v in range(n):
            if v in M[u] and color[v] == 0:
                dfs(v, c)
        color[u] = 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")

Submission status: Time Limit Exceeded

Solution code:
# -*- 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 range(n):
            if v in M[u] and color[v] == 0:
                dfs(v, c)
        color[u] = 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")

Submission status: Time Limit Exceeded

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

a = [[] for i in range(n)]

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

q = int(input())

from collections import deque



for j in range(q):
    queue = deque()
    memo = [0 for i in range(n)]
    data = list(map(int, input().split()))
    memo[data[0]] = 1
    queue.append(data[0])

    try:
        while len(queue) != 0:
            b = queue.popleft()
            if len(a[b]) != 0:
                for k in a[b]:
                    if memo[k] == 0:
                        memo[k] = 1
                        queue.append(k)
                        if k == data[1]:
                            print("yes")
                            raise Exception
        print("no")
    except Exception:
        pass

Submission status: Time Limit Exceeded

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

a = [[] for i in range(n)]

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

q = int(input())

from collections import deque
for j in range(q):
    queue = deque()
    memo = [0 for i in range(n)]
    data = list(map(int, input().split()))
    memo[data[0]] = 1
    queue.append(data[0])

    try:
        while len(queue):
            b = queue.popleft()
            if len(a[b]):
                for k in a[b]:
                    if k == data[1]:
                        print("yes")
                        raise Exception
                    if memo[k] == 0:
                        memo[k] = 1
                        queue.append(k)
        print("no")
    except Exception:
        pass

Submission status: Time Limit Exceeded

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

a = [[] for i in range(n)]

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

q = int(input())

from collections import deque
for j in range(q):
    queue = deque()
    memo = [0 for i in range(n)]
    data = list(map(int, input().split()))
    memo[data[0]] = 1
    queue.append(data[0])

    try:
        while len(queue):
            b = queue.popleft()
            for k in a[b]:
                if k == data[1]:
                    print("yes")
                    raise Exception
                if memo[k] == 0:
                    memo[k] = 1
                    queue.append(k)
        print("no")
    except Exception:
        pass

Submission status: Time Limit Exceeded

Solution code:
from collections import deque
from enum import Enum, auto

class Color(Enum):
    WHITE = auto()
    GRAY = auto()
    BLACK = auto()

n, m = list(map(int, input().split(' ')))
adj_list = [[] for i in range(n)]
for i in range(m):
    u, v = list(map(int, input().split(' ')))
    adj_list[u].append(v)
    adj_list[v].append(u)

def adj(s, e):
    queue = deque([])
    colors = [Color.WHITE for i in range(n)]

    queue.append(s)
    colors[s] = Color.GRAY

    while len(queue) > 0:
        u = queue.popleft()
        for v in adj_list[u]:
            if colors[v] == Color.WHITE:
                colors[v] = Color.GRAY
                queue.append(v)
                if v == e: return True
        colors[u] = Color.BLACK
    return False

q = int(input())
for i in range(q):
    s, e = list(map(int, input().split(' ')))
    if adj(s, e):
        print('yes')
    else:
        print('no')

Submission status: Time Limit Exceeded

Solution code:
from collections import deque
from enum import Enum, auto
import sys
sys.setrecursionlimit(100000)

class Color(Enum):
    WHITE = auto()
    GRAY = auto()
    BLACK = auto()

n, m = list(map(int, input().split(' ')))
adj_list = [[] for i in range(n)]
for i in range(m):
    u, v = list(map(int, input().split(' ')))
    adj_list[u].append(v)
    adj_list[v].append(u)

# 幅優先
def adj_bfs(s, e):
    queue = deque([])
    colors = [Color.WHITE for i in range(n)]

    queue.append(s)
    colors[s] = Color.GRAY

    while len(queue) > 0:
        u = queue.popleft()
        for v in adj_list[u]:
            if colors[v] == Color.WHITE:
                colors[v] = Color.GRAY
                queue.append(v)
                if v == e: return True
        colors[u] = Color.BLACK
    return False

# 深さ優先
colors = [Color.WHITE for i in range(n)]

def adj_dfs(u, e):
    colors[u] = Color.GRAY

    for v in adj_list[u]:
        if colors[v] == Color.WHITE:
            if v == e: return True
            if adj_dfs(v, e):
                return True

    colors[u] = Color.BLACK
    return False

q = int(input())
for i in range(q):
    s, e = list(map(int, input().split(' ')))
    colors = [Color.WHITE for i in range(n)]
    if adj_dfs(s, e):
        print('yes')
    else:
        print('no')

Submission status: Time Limit Exceeded

Solution code:
n = list(map(int,input().split()))
cn = [i for i in range(n[0])]
for i in range(n[1]):
    a = list(map(int,input().split()))
    if cn[a[0]] != cn[a[1]]:
        tmp = cn[a[1]]
        for j in range(n[0]):
            if cn[j] == tmp:
                cn[j] = cn[a[0]]


q = int(input())
for i in range(q):
    a = list(map(int,input().split()))
    if cn[a[0]] == cn[a[1]]: print("yes")
    else: print("no")

Submission status: Time Limit Exceeded

Solution code:
n = list(map(int,input().split()))
cn = [i for i in range(n[0])]
for i in range(n[1]):
    a = list(map(int,input().split()))
    if cn[a[0]] != cn[a[1]]:
        tmp = cn[a[1]]
        for j in range(n[0]):
            if cn[j] == tmp:
                cn[j] = cn[a[0]]

q = int(input())
for i in range(q):
    a = list(map(int,input().split()))
    if cn[a[0]] == cn[a[1]]: print("yes")
    else: print("no")

Submission status: Time Limit Exceeded

Solution code:
n = list(map(int,input().split()))
cn = [i for i in range(n[0])]
cnt = [[0]]*n[0]
for i in range(1,n[0]):
    cnt[i] = [i]
x = [1]*n[0]

for i in range(n[1]):
    a = list(map(int,input().split()))
    if cn[a[0]] != cn[a[1]]:
        if x[a[0]] > x[a[1]]: 
            tmp = cn[a[1]]
            tmp2 = cn[a[0]]
        else: 
            tmp = cn[a[0]]
            tmp2 = cn[a[1]]
        for j in cnt[tmp]:
            cn[j] = cn[tmp2]
        x[tmp2] += len(cnt[tmp])
        cnt[tmp2].extend(cnt[tmp])
        cnt[tmp] = [-1]

q = int(input())
for i in range(q):
    a = list(map(int,input().split()))
    if cn[a[0]] == cn[a[1]]: print("yes")
    else: print("no")

Submission status: Time Limit Exceeded

Solution code:
n = list(map(int,input().split()))
cn = [i for i in range(n[0])]
cnt = [[0]]*n[0]
for i in range(1,n[0]):
    cnt[i] = [i]
x = [1]*n[0]

for i in range(n[1]):
    a = list(map(int,input().split()))
    if cn[a[0]] != cn[a[1]]:
        if x[a[0]] > x[a[1]]: 
            tmp = cn[a[1]]
            tmp2 = cn[a[0]]
        else: 
            tmp = cn[a[0]]
            tmp2 = cn[a[1]]
        for j in cnt[tmp]:
            cn[j] = cn[tmp2]
        x[tmp2] += len(cnt[tmp])
        cnt[tmp2].extend(cnt[tmp])
        cnt[tmp] = [-1]

q = int(input())
for i in range(q):
    a = list(map(int,input().split()))
    print("yes" if cn[a[1]] == cn[a[0]] else "no")

Submission status: Time Limit Exceeded

Solution code:
def bfs(adj, s):
    n = len(adj)
    d = [-1 for _ in range(n)]
    c = [0 for _ in range(n)]

    d[s] = 0
    c[s] = 1

    queue = [s]

    while len(queue) > 0:
        u = queue.pop(0)
        for v in adj[u]:
            if c[v] == 0:
                c[v] = 1
                d[v] = d[u] + 1
                queue.append(v)

    return d


s = [int(x) for x in input().split()]
n = s[0]
m = s[1]
adj = [[] for _ in range(n)]
for _ in range(m):
    s = [int(x) for x in input().split()]
    adj[s[0]].append(s[1])
    adj[s[1]].append(s[0])

q = int(input())
for _ in range(q):
    s = [int(x) for x in input().split()]
    u = s[0]
    v = s[1]
    d = bfs(adj, u)
    if d[v] > 0:
        print("yes")
    else:
        print("no")

Submission status: Time Limit Exceeded

Solution code:
def warshall_floyd(w):
    inf = 1E+100
    n = len(w)
    d = w
    for k in range(n):
        d_new = [[inf for _ in range(n)] for _ in range(n)]
        for i in range(n):
            for j in range(n):
                d_new[i][j] = min(d[i][j], d[i][k] + d[k][j])
        d = d_new
    return d


inf = 1E+100
s = [int(x) for x in input().split()]
n = s[0]
m = s[1]
w = [[inf for _ in range(n)] for _ in range(n)]
for i in range(n):
    w[i][i] = 0
for _ in range(m):
    s = [int(x) for x in input().split()]
    w[s[0]][s[1]] = 1
    w[s[1]][s[0]] = 1

d = warshall_floyd(w)

q = int(input())
for _ in range(q):
    s = [int(x) for x in input().split()]
    u = s[0]
    v = s[1]
    if d[u][v] < inf:
        print("yes")
    else:
        print("no")

Submission status: Time Limit Exceeded

Solution code:
from collections import deque

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

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


def bfs(s, e):
    check, dist = [0 for i in range(n)], [-1 for i in range(n)]
    q = deque()

    check[s], dist[s] = 1, 0
    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]], dist[G[u][v]] = 1, dist[u] + 1
                q.append(G[u][v])

        check[u] = 2

    return dist[e]


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

    q = int(input())

    for i in range(q):
        s, t = map(int, input().split())
        k = bfs(s, t)
        if k == -1:
            print("no")
        else:
            print("yes")


if __name__ == '__main__':
    main()

Submission status: Time Limit Exceeded

Solution code:
from collections import deque

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

G = [[] for i in range(n)]
check, dist = [0 for i in range(n)], [-1 for i in range(n)]


def bfs(s, e):
    for i in range(n):
        check[i], dist[i] = 0, -1
    q = deque()

    check[s], dist[s] = 1, 0
    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]], dist[G[u][v]] = 1, dist[u] + 1
                q.append(G[u][v])

        check[u] = 2

    return dist[e]


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

    q = int(input())

    for i in range(q):
        s, t = map(int, input().split())
        k = bfs(s, t)
        if k == -1:
            print("no")
        else:
            print("yes")


if __name__ == '__main__':
    main()

Submission status: Time Limit Exceeded

Solution code:
#16D8104025G 佐藤智裕 mist75__ Python3
#alds11_d

global flag
flag = 0
"""
class Node:
    def __init__(self, num, deg, neib):
        self.num = num
        self.deg = deg
        self.neib = neib
"""
"""
class Link:
    def __init__(self, num, linker):
        self.num = num
        self.linker = linker

    def __str__(self):
        return str(self.num) + str(*self.linker)
"""

def search(U, i, j, checked):
    global flag
    flag = 0
    #print("i,j,flag:", i, j, flag)

    for l in U[i]:
        if flag == 1:
            break
        else:
            #print("l:",l)
            if l in checked:
                #print("has checked")
                pass
            elif l == j:
                #print("reached")
                flag = 1
                break
            else:
                checked.append(i)
                #print("checked:", checked)
                #print("next")
                search(U, l, j, checked)

    if flag == 0:
        #print("can't find")
        return "no"
    else: return "yes"


n, m = map(int, input().split()) #n:user number, m:connection number
User = []
for i in range(n):
    linker = []
    User.append(linker)

#print("User-linker set", User)
for i in range(m):
    lnk1, lnk2 = map(int, input().split())
    User[lnk1].append(lnk2)
    User[lnk2].append(lnk1)

#print("User-link input")
#print("User:",User)

#q = int(input("questions:"))
q = int(input())
Result = []
for i in range(q):
    checked = []
    i, j = map(int, input().split())
    Result.append(search(User, i, j, checked))
    #print(Result)

for i in Result:
    print(i)

Submission status: Time Limit Exceeded

Solution code:
def tan(G,st,fi):
    global flag
    global flag_list
    for i in range(len(G)):
        if flag_list[i] == 1:
            continue
        if G[st][i] == 1:
            if i == fi:
                flag = 1
            flag_list[i] = 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
    G[S[1]][S[0]] = 1

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

Submission status: Time Limit Exceeded

Solution code:
#coding:utf-8
n, r = map(int,input().split())
Q = []
M = [[] for j in range(n)]
for i in range(r):
    i,j = map(int,input().split())
    M[i].append(j)
    M[j].append(i)

def search(person, target):
    Q = []
    Q.append(person)
    color = ["white" for i in range(n)]
    while Q != []:
        u = Q.pop(0)
        if u ==  target:
            print("yes")
            break
        color[u] = "gray"
        data = M[u]
        for v in data:
            if color[v] == "white":
                color[v] = "gray"
                Q.append(v)
        color[u] = "black"
    else:
        print("no")

num = int(input())
for i in range(num):
    person, target = map(int,input().split())
    search(person, target)

Submission status: Time Limit Exceeded

Solution code:
#coding:utf-8
n, r = map(int,input().split())
Q = []
M = [[] for j in range(n)]
for i in range(r):
    i,j = map(int,input().split())
    M[i].append(j)
    M[j].append(i)


def search(person, target):
    Q = []
    Q.append(person)
    color = [0 for i in range(n)]
    while Q != []:
        u = Q.pop(0)
        if u ==  target:
            print("yes")
            break
        color[u] = 1
        data = M[u]
        for v in data:
            if color[v] == 0:
                color[v] = 1
                Q.append(v)
        color[u] = 2
    else:
        print("no")

num = int(input())
for i in range(num):
    person, target = map(int,input().split())
    search(person, target)

Submission status: Time Limit Exceeded

Solution code:
#coding:utf-8
import sys
sys.setrecursionlimit(100000)
n, r = map(int,input().split())
Q = []
M = [[] for j in range(n)]
for i in range(r):
    i,j = map(int,input().split())
    M[i].append(j)
    M[j].append(i)


def search(person, target):
    global yes
    if yes == 1:
        return
    data = M[person]
    for per in data:
        if per ==  target:
            yes = 1
            return
        if color[per] == "white":
            color[per] = "gray"
            search(per, target)
    color[person] = "black"

num = int(input())
for i in range(num):
    yes = 0
    color = ["white" for j in range(n)]
    person, target = map(int,input().split())
    search(person, target)
    if yes == 0:
        print("no")
    else:
        print("yes")

Submission status: Memory Limit Exceeded

Solution code:
def DFS(s):
    flag[s] = 1
    F[group].append(s)
    for i in range(n):
        if G[s][i] == 1:
            if flag[i] == 0:
                DFS(i)
 

n, m = map(int, input().split())
G = [[0 for i in range(n)] for j in range(n)]
for i in range(m):
    s, t = map(int, input().split())
    G[s][t] = 1
    G[t][s] = 1

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

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

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

Submission status: Memory Limit Exceeded

Solution code:
def DFS(s):
    flag[s] = 1
    F[group].append(s)
    for i in range(n):
        if G[s][i] == 1:
            if flag[i] == 0:
                DFS(i)
 

n, m = map(int, input().split())
G = [[0 for i in range(n)] for j in range(n)]
for i in range(m):
    s, t = map(int, input().split())
    G[s][t] = 1
    G[t][s] = 1

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

Submission status: Memory Limit Exceeded

Solution code:
def DFS(s):
    flag[s] = 1
    F[group] += [s]
    for i in range(n):
        if G[s][i] == 1:
            if flag[i] == 0:
                DFS(i)
 

n, m = map(int, input().split())
G = [[0 for i in range(n)] for j in range(n)]
for i in range(m):
    s, t = map(int, input().split())
    G[s][t] = 1
    G[t][s] = 1

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

Submission status: Memory Limit Exceeded

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

n, m = map(int, raw_input().split())
G = [[0 for i in range(n)] for j in range(n)]

for i in range(m):
    s, t = map(int, raw_input().split())
    G[s][t] = 1
    G[t][s] = 1

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

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

Submission status: Memory Limit Exceeded

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

n, m = map(int, input().split())
G = [[0 for i in range(n)] for j in range(n)]

for i in range(m):
    s, t = map(int, input().split())
    G[s][t] = 1
    G[t][s] = 1

group = [[] for i in range(n)]
flag = [0 for i in range(n)]
j = 0
for i in range(n):
    if flag[i] == 0:
        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())
    if group[s] == group[t]:
        ans[i] = "yes"
for i in range(q):
    print(ans[i])

Submission status: Memory Limit Exceeded

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

n, m = map(int, input().split())
G = [[0 for i in range(n)] for j in range(n)]

for i in range(m):
    s, t = map(int, input().split())
    G[s][t] = 1
    G[t][s] = 1

group = [[] for i in range(n)]
flag = [0 for i in range(n)]
j = 0
for i in range(n):
    if flag[i] == 0:
        DFS(i)
        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")

Submission status: Memory Limit Exceeded

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

n, m = map(int, input().split())
G = [[0 for i in range(n)] for j in range(n)]

for i in range(m):
    s, t = map(int, input().split())
    G[s][t] = 1
    G[t][s] = 1

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

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

Submission status: Memory Limit Exceeded

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

N, M = tuple(map(int, input().split()))
adj = [[0]*(N) for _ in range(N)]

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

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 unsearched if adj[q][i]==1 and 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")

Submission status: Memory Limit Exceeded

Solution code:
def bfs(graph, start, goal, connection):
    visited = {start: None}
    unvisited = [start]
    while unvisited:
        now = unvisited[0]
        if now == goal or connection[now][goal] == 1:
            connection[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 = [[0 for i in range(n)] for i in range(n)]

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))

Submission status: Memory Limit Exceeded

Solution code:
from collections import deque

def bfs(graph, start, goal, connection):
    visited = {start: None}
    unvisited = deque()
    unvisited.append(start)
    while unvisited:
        now = unvisited.popleft()
        if now == goal or goal in connection[now]:
            connection[start].add(goal)
            connection[goal].add(start)
            return "yes"
        connection[start].update(graph[now])
        for next in graph[now]:
            if not (next in visited):
                unvisited.append(next)
                visited[next] = now
    return "no"

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

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

q = int(input())

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

Submission status: Memory Limit Exceeded

Solution code:
from collections import deque

def bfs(graph, start):
    visited = {start: None}
    unvisited = deque()
    unvisited.append(start)
    while unvisited:
        now = unvisited.popleft()
        for next in graph[now]:
            if not (next in visited):
                unvisited.append(next)
                visited[next] = now
    for key in visited.keys():
        graph[key].update(visited.keys())

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

for i in range(m):
    a, b = map(int, input().split())
    g[a].add(b)
    g[b].add(a)

q = int(input())

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

Submission status: Memory Limit Exceeded

Solution code:
from collections import deque

c=1        #cc count

def dfs(t):
    s=deque()
   
    global c

    s.append(t)
    color[t] = c
    while (len(s)!=0): 
        u = s.pop()
        lens = len(G[u])
        for i in range(lens) :
            v = G[u][i]
            if (flag[v] == 0) :
                color[v] = c
                flag[v] = 1
                s.append(v)
            
            
n,ln=[int(x) for x in input().split()]
maxx=n+10
m=[[0 for col in range(maxx)] for row in range(maxx)] 
G=[[] for row in range(maxx)]
color=[0 for col in range(maxx)]
flag=[0 for col in range(maxx)]



for i in range(ln):
    u,v=[int(x) for x in input().split()]
    G[u].append(v)
    G[v].append(u)

for i in range(n):
    if (flag[i] == 0):
            dfs(i)
            c+=1
        
q=int(input())
for i in range(q):
    u,v=[int(x) for x in input().split()]
    if (color[u] == color[v]):
        print("yes")
    else:
        print("no")

Submission status: Memory Limit Exceeded

Solution code:
n,m = map(int,input().split())
B = [[0 for i in range(n)] for j in range(n)]
chk = [0 for i in range(n)]
s = []
i_array = [0 for i in range(n)]
connect = []
cou = 0
node_in = [0 for i in range(n)]

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

for i in range(n):
    if(chk[i] == 1):
        continue
    chk[i] = 1
    s.append(i)
    connect.append([])
    connect[cou].append(i)
    node_in[i] = cou

    while(len(s) != 0):
        flag = 0
        v = s[len(s)-1]
        for j in range(i_array[v],n):
            if(B[v][j] == 1 and chk[j] == 0):
                chk[j] = 1
                s.append(j)
                connect[cou].append(j)
                node_in[j] = cou
                i_array[v] = j+1
                flag = 1
                break
        if(flag == 0):
            s.pop()

    cou += 1

q = int(input())
for i in range(q):
    start,target = map(int,input().split())
    p = node_in[start]
    flag = 0
    for j in range(len(connect[p])):
        if(connect[p][j] == target):
            print("yes")
            flag = 1
            break
    if(flag == 0):
        print("no")

Submission status: Accepted

Solution code:
# -*- coding: utf-8 -*-
"""
Created on Sat Jul 14 10:14:13 2018
ALDS1_11_D
@author: maezawa
"""

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
    stack.append(u)
    while stack:
        current = stack[-1]
        v[current] = color
        #print(u, current, stack)
        flag = 0
        for k in adj[current]:
            if v[k] > 0:
                continue
            stack.append(k)
            flag = 1
        if flag == 0:
            stack.pop()
    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')

Submission status: Accepted

Solution code:
# -*- coding: utf-8 -*-
"""
Created on Sat Jul 14 10:14:13 2018
ALDS1_11_D
@author: maezawa
"""
import sys
sys.setrecursionlimit(1000000)

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')