Problem:


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

Breadth First Search

  Write a program which reads an directed graph $G = (V, E)$, and finds the shortest distance from vertex $1$ to each vertex (the number of edges in the shortest path). Vertices are identified by IDs $1, 2, ... n$. 

Input

  In the first line, an integer $n$ denoting the number of vertices, is given. In the next $n$ lines, adjacent lists of vertex $u$ are given in the following format:

$u$ $k$ $v_1$ $v_2$ ... $v_k$

$u$ is ID of the vertex and $k$ denotes its degree.$v_i$ are IDs of vertices adjacent to $u$.

Constraints

$1 \leq n \leq 100$

Output

  For each vertex $u$, print $id$ and $d$ in a line. $id$ is ID of vertex $u$ and $d$ is the distance from vertex $1$ to vertex $u$. If there are no path from vertex $1$ to vertex $u$, print -1 as the shortest distance. Print in order of IDs.

Sample Input 1

4
1 2 2 4
2 1 4
3 0
4 1 3

Sample Output 1

1 0
2 1
3 2
4 1

Reference

Introduction to Algorithms, Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. The MIT Press.



Sample input:
4
1 2 2 4
2 1 4
3 0
4 1 3


Sample output:
1 0
2 1
3 2
4 1

Submission status: Accepted

Solution code:
from collections import deque
n = int(input())
d = [-1]*n
d[0] = 0
M = []
for i in range(n):
    adj = list(map(int,input().split()))
    if adj[1] == 0:
        M += [[]]
    else:
        M += [adj[2:]]
Q = deque([0])

while Q != deque([]):
  u = Q.popleft()
  for i in range(len(M[u])):
    v = M[u][i]-1
    if d[v] == -1:
      d[v] = d[u] + 1
      Q.append(v)
for i in range(n):
  print(i+1,d[i])

Submission status: Accepted

Solution code:
from collections import deque

N = int(input())

Graph = {}
Node = []
visited = [-1]*(N)

for i in range(N):
    tmp = input().split()
    if int(tmp[1]) != 0:
        Graph[i] = [int(x)-1 for x in tmp[2:]]
    else:
        Graph[i] = []

queue = deque([0])
visited[0] = 0
while queue:
    x = queue.popleft()
    for i in Graph[x]:
        if visited[i] == -1:
            visited[i] = visited[x] + 1
            queue.append(i)

for i,j in enumerate(visited, 1):
    print(i, j)

Submission status: Accepted

Solution code:
n=int(input())

lst=[0]*n

for _ in range(n):
    work=list(map(int,input().split()))
    lst[work[0]-1]=work[2:]

dis=[-1]*n
dis[0]=0
work=lst[0][:]
work_next=[]
token=0

while work:
    token+=1
    for x in work:
        if dis[x-1]==-1: dis[x-1]=token
        for y in lst[x-1]:
            if dis[y-1]==-1 : work_next.append(y)
    work=work_next[:]
    work_next=[]

for i in range(n):
    print("{} {}".format(i+1,dis[i]))

Submission status: Accepted

Solution code:
from collections import deque
from sys import stdin
input = stdin.readline

N = int(input())
neighborlist = [None for _ in range(N+1)]
for _ in range(1, N+1):
    node, _, *L = list(map(int, input().split()))
    neighborlist[node] = L

distancelist = [-1]*(N+1)
queue = deque()
queue.append(1)
distancelist[1] = 0
while queue:
    node = queue.popleft()
    distance = distancelist[node]
    for neighbor in neighborlist[node]:
        if distancelist[neighbor] == -1:
            distancelist[neighbor] = distance + 1
            queue.append(neighbor)

for i in range(1, N+1):
    print(i, distancelist[i])

Submission status: Accepted

Solution code:
from collections import defaultdict, deque

N = int(input())
edges = {}
scores = defaultdict(lambda: -1)

for _ in range(N):
    l = list(map(int, input().split()))
    node = l[0]
    degree = l[1]
    edges[node] = l[2:]

q = deque()
q.append((1, 0))

while q:
    node, score = q.popleft()
    if scores[node] != -1:
        continue
    scores[node] = score
    for child in edges[node]:
        q.append((child, score+1))

for node in range(1, N+1):
    print('%d %d' % (node, scores[node]))

Submission status: Accepted

Solution code:
import sys
from collections import defaultdict
from queue import Queue


def main():
    input = sys.stdin.buffer.readline
    n = int(input())
    g = defaultdict(list)
    for i in range(n):
        line = list(map(int, input().split()))
        if line[1] > 0:
            g[line[0]] = line[2:]
    q = Queue()
    q.put(1)
    dist = [-1] * (n + 1)
    dist[1] = 0
    while not q.empty():
        p = q.get()
        for nxt in g[p]:
            if dist[nxt] == -1:
                dist[nxt] = dist[p] + 1
                q.put(nxt)
    for i in range(1, n + 1):
        print(i, dist[i])


if __name__ == "__main__":
    main()

Submission status: Accepted

Solution code:
from collections import deque

def bfs(x):
  for v in graph[x]:
    if dist[v] != -1:
      continue
    dist[v] = dist[x] + 1
    queue.append(v)
  if len(queue) == 0:
    return
  bfs(queue.popleft())
  
N = int(input())
graph = []
for _ in range(N):
  graph.append(list(map(lambda x: int(x)-1, input().split()))[2:])
dist = [-1] * N
queue = deque()

dist[0] = 0
bfs(0)
for i in range(N):
  print("{} {}".format(i+1, dist[i]))

Submission status: Accepted

Solution code:
import collections

N = int(input())
G = [[0 for _ in range(N)] for _ in range(N)]
for i in range(N):
    u,k,*varray = map(int,input().split())
    for v in varray:
        G[u-1][v-1] = 1
        
D = [-1 for _ in range(N)]
D[0] = 0
Q = collections.deque()
Q.append(0)
while len(Q) > 0:
    # print("bfs",Q)
    cur = Q.popleft()
    for dst in range(N):
        if G[cur][dst] == 1 and D[dst] == -1:
            D[dst] = D[cur] + 1
            Q.append(dst)
for v in range(N):
    print(v+1, D[v])
            

# 順番を書こう。落ち着け
# まずd=1の時→行列の一行目をみよう
# 1になっている列を探す→そいつらのDは全部2に変える
# プラスしてそいつらのしもべたちを3にする
#

Submission status: Accepted

Solution code:
from collections import deque
Q=deque()
n=int(input())
graph={}
d=[0 for i in range(n+1)]

for i in range(n):
    tmp=list(map(int,input().split()))
    graph[tmp[0]]=[0 for j in range(n+1)]
    for j in range(tmp[1]):
        graph[tmp[0]][tmp[2+j]]=1

Q.append(1)
while len(Q) is not 0:
    number=Q[0]
    if 1 in graph[number]:
        for i in range(graph[number].count(1)):
            Q.append(graph[number].index(1))
            if d[graph[number].index(1)] is 0:
                d[graph[number].index(1)]=d[number]+1
            graph[number][graph[number].index(1)]=0
        
    Q.popleft()

for i in range(n):
    if i==0:
        print(i+1,0)
    else:
        if d[i+1]==0:
            print(i+1,-1)
        else:
            print(i+1,d[i+1])

Submission status: Accepted

Solution code:
from collections import deque
n=int(input())
edge=[[] for _ in range(n+1)]
for i in range(n):
  v,k,*u=map(int,input().split())
  edge[v]=u
p=[-1]*(n+1)
p[1]=0
q=deque([])
q.append(1)
v=[1]*(n+1)
v[1]=0
while q:
  now=q.popleft()
  for i in edge[now]:
    if v[i]:
      q.append(i)
      p[i]=p[now]+1
      v[i]=0
for i in range(1,n+1):
  print(i,p[i])

Submission status: Accepted

Solution code:
from collections import deque
n = int(input())
data = [None]*n
for _ in range(n):
    a,*b = map(int,input().split())
    a -= 1
    data[a] = [i-1 for i in b[1:]]
d = [-1]*n
dq = deque([(0,0)])
while dq:
    p,q = dq.popleft()
    if d[p] == -1:
        d[p] = q
        for i in data[p]:
            dq.append((i,q+1))
for i,j in enumerate(d):
    print(i+1,j)

Submission status: Accepted

Solution code:
import sys
from collections import deque

sys.setrecursionlimit(10 ** 7)
input = sys.stdin.readline
f_inf = float('inf')
mod = 10 ** 9 + 7


def resolve():
    n = int(input())
    edge = [[] for _ in range(n)]
    for _ in range(n):
        u, k, *V = map(int, input().split())
        for v in V:
            edge[u - 1].append(v - 1)

    depth = [f_inf] * n
    depth[0] = 0
    que = deque([0])
    while que:
        v = que.popleft()
        for u in edge[v]:
            if depth[u] == f_inf:
                depth[u] = depth[v] + 1
                que.append(u)

    for i in range(n):
        print(i + 1, depth[i] if depth[i] != f_inf else -1)


if __name__ == '__main__':
    resolve()

Submission status: Accepted

Solution code:
from collections import deque
from collections import defaultdict

n = int(input())

graph = defaultdict(list)

for i in range(n):
    u, k, *v = map(int, input().split())
    for v in v:
        graph[u].append(v)

ans = [-1] * (n + 1)

q = deque([1])
ans[1] = 0

while q:
    c = q.popleft()
    for v in graph[c]:
        if ans[v] == -1:
            ans[v] = ans[c] + 1
            q.append(v)

for i in range(1, n + 1):
    print(i, ans[i])

Submission status: Accepted

Solution code:
from collections import deque
n=int(input())
l=[0]+[list(map(int,input().split()))[2:] for _ in range(n)]

flg=["white"]*(n+1)
dist=[-1]*(n+1)

def BFS(x):

    queue = deque([x])
    dist[x]=0
    flg[x]="gray"

    while queue:
        current=queue.popleft()
        for i in l[current]:
            if flg[i]=="white":
                queue.append(i)
                flg[i]="gray"
                dist[i]=dist[current]+1
        flg[current]="black"

BFS(1)

for num,i in enumerate(dist[1:],1):
    print(num,i)

Submission status: Accepted

Solution code:
from collections import deque
n = int(input())
adj = [ [] for _ in range(n+1) ]
for _ in range(n):
  lst = list(map(int,input().split()))
  if lst[1] > 0:
    adj[lst[0]] = lst[2:]

q = deque([1])
dist = [-1] * (n+1)
dist[1] = 0

q = deque([1])
while q:
  node = q.popleft()

  for nei in adj[node]:
    if dist[nei] != -1: continue
    dist[nei] = dist[node] + 1
    q.append(nei)

for i,s in enumerate(dist):
  if i==0: continue
  print(i, s)

Submission status: Accepted

Solution code:
from collections import deque
n=int(input())
v=[[] for _ in range(n)]
dist=[n+1]*n
dist[0]=0
for i in range(n):
    l=list(map(int,input().split()))
    if l[1]==0:
        continue
    else:
        for j in l[2:]:
            v[l[0]-1].append(j-1)

flg=1
q=deque()
while flg==1:
    flg=0
    q=deque()
    for i in range(n):
        q.append(i)
        chk=[0]*n
        while q:
            x=q.popleft()
            chk[x]=1
            d=dist[x]
            for j in v[x]:
                if chk[j]==1:
                    continue
                else:
                    if dist[j]>d+1:
                        flg=1
                        dist[j]=d+1
                        q.append(j)

for i in range(n):
    if dist[i]==n+1:
        print(i+1,-1)
    else:
        print(i+1,dist[i])

Submission status: Accepted

Solution code:
from collections import deque
n = int(input())
u = []
k = []
v = []

for i in range(n):
    tmp = list(map(int, input().split()))
    u.append(tmp[0])
    k.append(tmp[1])
    if tmp[1] != 0:
        v.append(tmp[2:])
    else:
        v.append([])
        
d = deque([1])
dis = [-1]*n
dis[0] = 0
visit = [False]*n
visit[0] = True
while len(d) > 0:
    go = d[0]
    flag = False
    for i in v[go-1]:
        if not visit[i-1]:
            d.append(i)
            dis[i-1] = dis[go-1] + 1
            visit[i-1] = True
            flag = True
    d.popleft()
    
for i in range(n):
    print(i+1, dis[i])

Submission status: Accepted

Solution code:
from collections import deque
N=int(input())
color=["white"]*(N+1)
rinsetu=[[] for i in range(N+1)]
for i in range(N):
    a,*b=list(map(int,input().split()))
    for idx,j in enumerate(b):
        if idx==0:continue
        rinsetu[a].append(j)
distance=[10**5]*(N+1)
distance[1]=0
def bfs():
    d = deque()
    d.append(1)
    while(d):
        num=d.popleft()
        color[num] = "black"
        for i in rinsetu[num]:
            if color[i]=="white":
                d.append(i)
                distance[i]=min(distance[num]+1,distance[i])

bfs()
for i in range(1,N+1):
    if distance[i]==10**5:distance[i]=-1
    print(i,distance[i])

Submission status: Accepted

Solution code:
import queue
from collections import namedtuple
T = namedtuple("T", "u d")

n = int(input())
path = dict()
ans = [-1] * (n + 1)

for i in range(n):
    a = [int(x) for x in input().split()]
    a.reverse()

    u, k = a.pop(), a.pop()
    path[u] = set()
    for j in range(k):
        path[u].add(a.pop())


def bfs(s):
    q = queue.Queue()
    q.put(s)

    while q.qsize() != 0:
        p = q.get()
        if p.d < ans[p.u] or ans[p.u] < 0:
            ans[p.u] = p.d
            for r in path[p.u]:
                q.put(T(r, p.d + 1))


bfs(T(1, 0))
for i in range(1, n + 1):
    print(i, ans[i])

Submission status: Accepted

Solution code:
from collections import deque
n = int(input())
grap = [[]]
for i in range(n):
    u,k,*v = map(int,input().split())
    grap.append(v)

dis = [-1]*(n+1)
dis[0] = 0
dis[1] = 0

d = deque()
d.append(1)
while d:
    v = d.popleft()
    for i in grap[v]:
        if dis[i] != -1:
            continue
        dis[i] = dis[v] + 1
        d.append(i)

for i in range(1,n+1):
    print(i,dis[i])

Submission status: Accepted

Solution code:
N = int(input())

tree = [[] for _ in range(N)]

for _ in range(N):
    u, k, *v = map(int, input().split())
    tree[u-1] = v

ans = [float('inf') for _ in range(N)]
ans[0] = 0

from collections import deque

q = deque([(0, 0)])

while q:
    p, d = q.popleft()
    for c in tree[p]:
        if ans[c-1] > d+1:
            ans[c-1] = d+1
            q.append((c-1, d+1))

for i in range(N):
    if ans[i] == float('inf'):
        print(i+1, -1)
    else:
        print(i+1, ans[i])

Submission status: Accepted

Solution code:
import sys
import itertools
# import numpy as np
import time
import math
import heapq
 
sys.setrecursionlimit(10 ** 7)
 
from collections import defaultdict
 
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

# map(int, input().split())
# list(map(int, input().split()))

n = int(input())

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

for i in range(n):
    line = list(map(int, input().split()))
    u = line[0]
    for j in range(line[1]):
        v = line[2 + j]
        adj[u - 1].append(v - 1)


# BFS
import queue
q = queue.Queue()
visited = [False] * n
dist = [-1] * n

visited[0] = True
dist[0] = 0
q.put(0)
while not q.empty():
    v = q.get()
    for u in adj[v]:
        if visited[u]:
            continue
        visited[u] = True
        dist[u] = dist[v] + 1
        q.put(u)

for i in range(n):
    val = dist[i]
    print(i + 1, val)

Submission status: Accepted

Solution code:
import collections

N = int(input())
route = []
for i in range(N):
    a = list(map(int, input().split()))
    route.append(a[2:])
ans = [-1 for _ in range(N)]
ans[0] = 0
check = collections.deque([0])#now distance
while check:
    now = check.popleft()
    for next in route[now]:
        next -= 1
        if ans[next] == -1:
            check.append(next)
            ans[next] = ans[now]+1
for i in range(N):
    print(i+1, ans[i])

Submission status: Accepted

Solution code:
import collections
n= int(input())
g=[]
for _ in range(n):
    v,k,*varray= map(int,input().split())
    g.append(varray)
        

d= [-1]* (n+10)
d[0]=0
q= collections.deque()
q.append(0)
while len(q)>  0:
    cur = q.popleft()
    for next in g[cur]:
        if d[next-1]== -1:
            d[next-1]= d[cur]+1
            q.append(next-1)
            
for i in range(n):
    print(i+1,d[i])

Submission status: Accepted

Solution code:
import collections

N = int(input())
M = []
for i in range(N):
    a = list(map(int,input().strip().split()))
    b = [int(i+1 in a[2:]) for i in range(N)]
    M.append(b)

D = [-1 for _ in range(N)]
D[0] = 0 # 始点への距離は 0, 他の距離は-1
Q = collections.deque()
Q.append(0) # 始点
while len(Q) > 0:
    #print("bfs", Q) # 各ステップでの Q の動作を確認
    cur = Q.popleft()
    for dst in range(N):
        # curからdstに移動可能かつ、dstが未訪問だったら
        if M[cur][dst] == 1 and D[dst] == -1:
            D[dst] = D[cur]+1
            Q.append(dst) # Qにdstを詰める
for v in range(N):
    print(v+1, D[v])

Submission status: Accepted

Solution code:
from collections import deque
n=int(input())
d=[-1]*(n+1)
d[1]=0
v=[[] for i in range(n+1)]
for i in range(n):
  a=list(map(int,input().split()))
  v[a[0]]=a[2:]
q=deque()
q.append(1)
while len(q)>0:
  curr=q.popleft()
  for i in v[curr]:
    if d[i]==-1:
      d[i]=d[curr]+1
      q.append(i)
for i in range(1,n+1):
  print(f'{i} {d[i]}')

Submission status: Accepted

Solution code:
import sys
sys.setrecursionlimit(10000000)
MOD = 10 ** 9 + 7
INF = 10 ** 15

from collections import deque,defaultdict,Counter
def main():
    N = int(input())
    G = [[] for _ in range(N)]
    for i in range(N):
        A = list(map(int,input().split()))
        for a in A[2:]:
            a -= 1
            G[i].append(a)
    
    q = deque([0])
    dist = [-1] * N
    dist[0] = 0
    while q:
        v = q.popleft()
        for e in G[v]:
            if dist[e] >= 0:
                continue
            dist[e] = dist[v] + 1
            q.append(e)
    
    ans = [(i + 1,dist[i]) for i in range(N)]
    for t in ans:
        print(*t)
if __name__ == '__main__':
    main()

Submission status: Accepted

Solution code:
import collections

N = int(input())
UKV = [list(map(int,input().split())) for _ in range(N)]

dist = [-1]*N
que = collections.deque()

G = [[]]*N
for ukv in UKV:
    G[ukv[0]-1] = sorted(ukv[2:])

dist[0] = 0
que.append(1)

while len(que) != 0:
    v = que.popleft()
    for nv in G[v-1]:
        if dist[nv-1] != -1:
            continue
        dist[nv-1] = dist[v-1] + 1
        que.append(nv)

for i,d in enumerate(dist):
    print(i+1, d)

Submission status: Accepted

Solution code:
# 28
# ALDS_11_C - 幅優先探索

from collections import deque

n = int(input())
u_l = []
k_l = []
v_l = []

for i in range(n):
    _v_l = []
    for j, _ in enumerate(input().split()):
        if j == 0:
            u_l.append(int(_))
        elif j == 1:
            k_l.append(int(_))
        else:
            _v_l.append(int(_))
    v_l.append(_v_l)
        
d_l = [-1]*n
d_l[0] = 0
s_dq = deque([1])
while len(s_dq) > 0:
    _s = s_dq.popleft()
    _s -= 1
    for i in range(k_l[_s]):
        _v = v_l[_s][i]
        if d_l[_v-1] == -1:
            s_dq.append(_v)
            d_l[_v-1] = d_l[_s] + 1

for _id, _d in zip(range(1,n+1), d_l):
    print(_id, _d)

Submission status: Accepted

Solution code:
from collections import deque

N = int(input())

edge = [[] for _ in range(N)]
for _ in range(N):
    t = list(map(int,input().split()))
    if t[1] != 0:
        edge[t[0]-1] = list(map(lambda x:int(x)-1, t[2:]))

dist = [-1]*N
dist[0] = 0
        
q = deque([0])
while q:
    now = q.popleft()
    for nxt in edge[now]:
        if dist[nxt] == -1:
            dist[nxt] = dist[now] + 1
            q.append(nxt)
        else:
            dist[nxt] = min(dist[nxt], dist[now] + 1)

for i,d in enumerate(dist):
    print(i+1, d)

Submission status: Accepted

Solution code:
from collections import deque

def bfs(maze, visited, x):
    queue = deque([x])
    visited[x] = 1
    ans_list[x] = 0
    while queue:
      #queueには訪れた地点が入っている。そこから、移動できるか考え、queueから消す。
        y = queue.popleft()#queueに入っていたものを消す。
        r = maze[y - 1][2:]
        for i in r:
            if visited[i] == 0:
              if ans_list[i] >= 10 ** 10:
                ans_list[i] = ans_list[y] + 1
                queue.append(i)
    return 0
              

                
if __name__ == "__main__":
  N = int(input())
  A = [0] * N
  for i in range(N):
    A[i] = list(map(int, input().split()))
  visited = [0] * (N + 1)
  ans_list = [float("inf")] * (N + 1)
  bfs(A, visited, 1)
  #print(bfs(A, visited, 1))
  for i in range(1, N + 1):
    if ans_list[i] >= 10 ** 10:
      print(i, -1)
    else:
      print(i, ans_list[i])

Submission status: Accepted

Solution code:
from collections import deque

n = int(input())
graph_W = []
for _ in range(n):
    graph_W.append(list(map(int, input().split())))
    
num_root = [0]*n
work_queue = deque([])
visited = set()

work_queue.append(1)
visited.add(1)
cnt = 0
while work_queue:
    here = work_queue.popleft() - 1
    num_node = graph_W[here][1]
    cnt += 1
    if num_node == 0:
        continue
    for k in range(num_node):
        num_graph = graph_W[here][k+2]
        if num_graph not in visited:
            work_queue.append(num_graph)
            visited.add(num_graph)
            num_root[num_graph-1] = num_root[here] + 1


print(1,0)
for i in range(1,n):
    if num_root[i] != 0:
        print(i+1,num_root[i])
    else:
        print(i+1,-1)

Submission status: Accepted

Solution code:
from collections import deque

n = int(input())
graph = []

for _ in range(n):
    u = list(map(int, input().split()))

    if u[1] == 0:
        graph.append([])
    else:
        graph.append(list(map(lambda x: x - 1, u[2: u[1] + 2])))

dist = [-1] * n


def bfs(x):
    q = deque([])
    dist[x] = 0
    q.append(x)

    while q:
        x = q.popleft()

        for nx in graph[x]:
            if dist[nx] != -1:
                continue
            else:
                dist[nx] = dist[x] + 1
                q.append(nx)


bfs(0)

for i in range(n):
    print(i + 1, dist[i])

Submission status: Accepted

Solution code:
n = int(input())
G = [[] for i in range(n)] #G(i): 頂点iと隣接する頂点のlist
for i in range(n):
    a = [int(i) for i in input().split()]
    G[a[0]-1] = [i-1 for i in a[2:]]

d = [-1] * n
todo = [0]
d[0] = 0

while(todo != []):
    v = todo.pop(0)
    for i in G[v]:
        if d[i] == -1:
            d[i] = d[v]+1
            todo.append(i)

for i in range(n):
    print(i+1, d[i])

Submission status: Accepted

Solution code:
def main():
    import sys
    N = int(sys.stdin.readline())
    L1 = [list(map(int, sys.stdin.readline().split())) for i in range(N)]
    L = [[] for _ in range(N+1)]
    for row in L1:
        L[row[0]] += row[2:]
    #print(L)
    
    d = [-1 for i in range(N+1)] #距離
    def bfs(p, queue=[]):
        queue+=[p]
        d[p]=0
        while queue:
            now = queue.pop(0)
            for ch in L[now]:
                if d[ch] ==-1: #未開
                    d[ch] = d[now]+1
                    queue +=[ch]
    
    
    bfs(1)
    for idx, ans in enumerate(d[1:]):
        print(idx+1, ans)


if __name__=='__main__':
    main()

Submission status: Accepted

Solution code:
import queue

n = int(input())
graph = []
for _ in range(n):
    line = list(map(int, input().split()))
    graph.append([v - 1 for v in line[2:]])

q = queue.Queue()
q.put(0)
dist = [-1] * n
dist[0] = 0

while True:
    v = q.get()
    for next_v in graph[v]:
        if dist[next_v] == -1: 
            q.put(next_v)
            dist[next_v] = dist[v] + 1

    if q.empty():
        break

for i in range(n):
    print(i + 1, dist[i])

Submission status: Accepted

Solution code:

n = int(input())
X = []
for _ in range(n):
    x = list(map(int, input().split()))
    if x[1] == 0:
        X.append([])
    else:
        X.append(x[2:])
Y = [-1 for _ in range(n)]
def search(i = 0, d = 0):
    if Y[i] > d or Y[i] < 0:
        Y[i] = d
        for x in X[i]:
            search(x - 1, d + 1)
    
search()

for i, y in enumerate(Y):
    print('{} {}'.format(i + 1, y))

Submission status: Accepted

Solution code:
import math
import string
import collections
from collections import Counter
from collections import deque
from decimal import Decimal
import sys
import fractions


def readints():
    return list(map(int, input().split()))


def nCr(n, r):
    return math.factorial(n)//(math.factorial(n-r)*math.factorial(r))


def has_duplicates2(seq):
    seen = []
    for item in seq:
        if not(item in seen):
            seen.append(item)
    return len(seq) != len(seen)


def divisor(n):
    divisor = []
    for i in range(1, n+1):
        if n % i == 0:
            divisor.append(i)
    return divisor


# coordinates
dx = [-1, -1, -1, 0, 0, 1, 1, 1]
dy = [-1, 0, 1, -1, 1, -1, 0, 1]
n = int(input())
g = [None]*n
for i in range(n):
    g[i] = readints()
# print(g)
G = [None]*n
for i in range(n):
    G[i] = []
# print(G)
for i in range(n):
    if len(g[i]) >= 3:
        for j in range(2, len(g[i])):
            # print(g[i][j])
            G[i].append(g[i][j])
#print('G', G)
dist = [-1]*n
dist[0] = 0
d = deque()
d.append(0)
# print(d)
while(len(d) != 0):
    v = d.popleft()
    if G[v] != []:
        for nv in G[v]:
            if dist[nv-1] != -1:
                continue
            dist[nv-1] = dist[v]+1
            d.append(nv-1)
for i in range(n):
    print(i+1, dist[i])

Submission status: Accepted

Solution code:
import sys

n = int(input())
G = [None]*n
for i in range(n):
    u, k, *vs = map(int, input().split())
    G[u-1] = [e-1 for e in vs]

from collections import deque
dist = [-1]*n
que = deque([0])
dist[0] = 0
while que:
    v = que.popleft()
    d = dist[v]
    for w in G[v]:
        if dist[w] > -1: #already visited
            continue
        dist[w] = d + 1
        que.append(w)

for i in range(n):
    print(i+1, dist[i])

Submission status: Accepted

Solution code:
from collections import deque
n = int(input())
G = []
for _ in range(n):
    u, k, *v = map(int, input().split())
    u -= 1
    G.append(v)
q = deque()
seen = [False] * n
dist = [-1] * n

def main():
    q.append(0)
    seen[0] = True
    dist[0] = 0
    while len(q) > 0:
        now_v = q.popleft()
        for new_v in G[now_v]:
            new_v -= 1
            if seen[new_v] is True:
                continue
            seen[new_v] = True
            q.append(new_v)
#             print(now_v, new_v)
            dist[new_v] = dist[now_v] + 1
    
    for i in range(n):
        print(i+1, dist[i])

if __name__ == '__main__':
    main()

Submission status: Accepted

Solution code:
from collections import deque
u = int(input())
g = [[i for i in map(int, input().split())] for _ in range(u)]
graph = [[] for _ in range(u)]
ans = [-1] * u
for i in range(u):
    for j in range(g[i][1]):
        graph[i].append(g[i][2 + j] - 1)
que = deque()
que.append(0)
ans[0] = 0
while que:
    v = que.popleft()
    for nv in graph[v]:
        if ans[nv] != -1:
            continue
        ans[nv] = ans[v] + 1
        que.append(nv)

for i in range(u):
    print(i+1, ans[i])

Submission status: Accepted

Solution code:
from collections import deque

N = int(input())
tree = [[] for i in range(N)]

for _ in range(N):
    tmp = list(map(int, input().split()))
    for i in range(2, len(tmp)):
        tree[tmp[0]-1].append(tmp[i]-1)

q = deque(tree[0])
cnt = deque([1]*len(tree[0]))
s = {}
ans = [-1]*N

ans[0] = 0
s[0] = True
while len(q) != 0:
    g = q.popleft()
    c = cnt.popleft()
    if ans[g] == -1:
        ans[g] = c
        s[g] = True

    for tmp in tree[g]:
        if not(tmp in s):
            q.append(tmp)
            cnt.append(c+1)

for i in range(N):
    print(i+1, ans[i])

Submission status: Accepted

Solution code:
from collections import deque

n = int(input())
u = [[] for i in range(n+1)] #隣接リスト
for i in range(n):
    v = list(map(int, input().split()))
    u[v[0]] = v[1:] #v = [次数, 頂点...]

d = [-1] * (n+1)
visited = [False] * (n+1)

d[1] = 0
visited[1] = True
que = deque([1])
while len(que) > 0:
    c = que.popleft()
    for i in range(1, u[c][0]+1):
        if not visited[u[c][i]]:
            que.append(u[c][i])
            visited[u[c][i]] = True
            d[u[c][i]] = d[c] + 1

for i in range(1, n+1):
    print(i, d[i])

Submission status: Accepted

Solution code:
from collections import deque

N = int(input())                            # 頂点数

conj = [[] for _ in range(N)]
for i in range(N):                          # 各頂点での進める先の候補の集合
    L = list(map(int, input().split()))
    for a in L[2:]:
        conj[i].append(a-1)         # 頂点番号をデクリメント

start = 0

visit = [False]*N                           # 訪れたかどうかをメモ
second_visit = [False]*N                    # 二度目に訪れた事をメモ
next_set = deque()                          # 次に進む候補を列挙する。スタック（右から取り出す = pop）だと深さ優先になり、キュー（左から取り出す = popleft）だと幅優先になる
next_set.append((start, 0))                 # スタート地点を決める。第二成分は時刻を表す。
visit[start] = True                         # スタート地点は最初から踏んでいる。
res = [-1 for _ in range(N)]
res[0] = 0

while next_set:                             # p = [] になったら止める
    p, t = next_set.popleft()               # 要素を消去して、消去した要素を出力
    for q in conj[p]:                       # 頂点 p から進める経路の候補から一つ選ぶ
        if not visit[q]:                    # 訪れた事がない場所のみ進む。壁などの条件がある場合は、ここに " grid[p] != 壁 " 等を追加する
            visit[q] = True                 # 頂点 q に一度訪れた事をメモ (for の前に書くと、ここで選ばれた q が最短であるはずなのに、違う経路でvisit = Trueを踏んでしまう可能性がある)
            res[q] = t + 1
            next_set.append((q, t + 1))     # p から q へと移動。時刻を 1 進める


for i in range(N):
    print(i+1, res[i])

Submission status: Accepted

Solution code:
# ALDS_11_C - 幅優先探索
import sys
import heapq

N = int(input())
G = []
for _ in range(N):
    u, k, *v = map(int, sys.stdin.readline().strip().split())
    v = [i - 1 for i in v]
    G.append(v)


distance = [-1] * N
q = []
fp = [True] * N  # 探索可能か記録する
heapq.heapify(q)
heapq.heappush(q, (0, 0))
fp[0] = False


while q:
    dist, u = heapq.heappop(q)
    distance[u] = dist
    for v in G[u]:
        if fp[v] is True:
            heapq.heappush(q, (dist + 1, v))
            fp[v] = False

for i, d in enumerate(distance):
    print(i + 1, d)

Submission status: Accepted

Solution code:
from collections import deque
import sys

INFTY=sys.maxsize
WHITE=0
GRAY=1
BLACK=2

color=[]
d=[]
Q=deque([])
n=0
L=[]

def readinput():
    global n
    global L

    n=int(input())
    for i in range(n+1):
        L.append([])

    for i in range(n):
        inp=list(map(int,input().split()))
        L[inp[0]]=inp[2:]


def bfs(s):
    global color
    global d
    global Q

    for i in range(n+1):
        color=[WHITE]*(n+1)
        d=[-1]*(n+1)

    color[s]=GRAY
    d[s]=0
    Q.append(s)

    while(len(Q)>0):
        u = Q.popleft()
        for l in L[u]:
            if(color[l]==WHITE):
                color[l]=GRAY
                d[l]=d[u]+1
                Q.append(l)
        color[u]=BLACK

if __name__=='__main__':
    readinput()
    bfs(1)
    for i in range(1,n+1):
        print('{} {}'.format(i, d[i]))

Submission status: Accepted

Solution code:
from collections import deque
import sys


def LI(): return list(map(int, sys.stdin.buffer.readline().split()))
def I(): return int(sys.stdin.buffer.readline())


class Graph:
    def __init__(self, n, is_directed=False):
        """
        :param n: 頂点数
        :param is_directed: 有向グラフ(True)か無向グラフか(False)
        """
        self.n = n
        self.graph = [[] for _ in range(n)]
        self.is_directed = is_directed

    def add_edge(self, u, v):
        """uからvへの(有向な)辺をつなぐ"""
        self.graph[u].append(v)
        if not self.is_directed:
            self.graph[v].append(u)

    def search(self, start, mode):
        '''開始地点から各頂点まで幅/深さ優先探索を行って得られた距離のリストを返す
        Args:
          start(int): 開始地点となる頂点
          mode(str): 幅優先探索(b)か深さ優先探索(d)を指定

        Returns:
          List[int]: 開始地点からの距離(未到達の場合は-1)
        '''
        dists = [-1] * self.n
        que = deque([start])
        dists[start] = 0
        if mode == 'b':
            get_v = que.popleft
        else:
            get_v = que.pop
        while que:
            now_v = get_v()
            for next_v in self.graph[now_v]:
                if dists[next_v] != -1:
                    continue
                que.append(next_v)
                dists[next_v] = dists[now_v] + 1
        return dists


n = I()
g = Graph(n, is_directed=True)
for _ in range(n):
    u, k, *v = LI()
    u -= 1
    if v == []:
        continue
    for vi in v:
        vi -= 1
        g.add_edge(u, vi)
res = g.search(0, 'b')
for i in range(n):
    print(i + 1, res[i])

Submission status: Accepted

Solution code:
N=int(input())
M=[input().split()[2:]for _ in[0]*N]
q=[0]
d=[0]+[-1]*N
while q:
 u=q.pop(0)
 for v in M[u]:
  v=int(v)-1
  if d[v]<0:d[v]=d[u]+1;q+=[v]
for i in range(N):print(i+1,d[i])