Problem:


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Depth First Search

  Depth-first search (DFS) follows the strategy to search ”deeper” in the graph whenever possible. In DFS, edges are recursively explored out of the most recently discovered vertex $v$ that still has unexplored edges leaving it. When all of $v$'s edges have been explored, the search ”backtracks” to explore edges leaving the vertex from which $v$ was discovered.

  This process continues until all the vertices that are reachable from the original source vertex have been discovered. If any undiscovered vertices remain, then one of them is selected as a new source and the search is repeated from that source.

  DFS timestamps each vertex as follows:

$d[v]$ records when $v$ is first discovered.

$f[v]$ records when the search finishes examining $v$’s adjacency list.

  Write a program which reads a directed graph $G = (V, E)$ and demonstrates DFS on the graph based on the following rules:

$G$ is given in an adjacency-list. Vertices are identified by IDs $1, 2,... n$ respectively.

IDs in the adjacency list are arranged in ascending order.

The program should report the discover time and the finish time for each vertex.

When there are several candidates to visit during DFS, the algorithm should select the vertex with the smallest ID.

The timestamp starts with 1.

Input

  In the first line, an integer $n$ denoting the number of vertices of $G$ is given. In the next $n$ lines, adjacency lists of $u$ 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 $u$.

Output

  For each vertex, print $id$, $d$ and $f$ separated by a space character in a line. $id$ is ID of the vertex, $d$ and $f$ is the discover time and the finish time respectively. Print in order of vertex IDs.

Constraints

$1 \leq n \leq 100$

Sample Input 1

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

Sample Output 1

1 1 8
2 2 7
3 4 5
4 3 6

Sample Input 2

6
1 2 2 3
2 2 3 4
3 1 5
4 1 6
5 1 6
6 0

Sample Output 2

1 1 12
2 2 11
3 3 8
4 9 10
5 4 7
6 5 6

  This is example for Sample Input 2 (discover/finish)

Reference

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



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


Sample output:
1 1 8
2 2 7
3 4 5
4 3 6

Submission status: Accepted

Solution code:
time = 1

class Vertex:
	def __init__(self, u, k):
		self.u = u
		self.vertices = [0] * k
		self.d = self.f = 0
	def __str__(self):
		return str(self.u) + ' ' + str(self.d) + ' ' + str(self.f)

def DFS(n, vertices):
	for i in range(n):
		if vertices[i].d == 0:
			DFS_(vertices, vertices[i].u)
			
def DFS_(vertitces, u):
	vertex = vertices[u-1]
	if vertex.d == 0:
		global time
		vertex.d = time
		time += 1
		for i in range(len(vertex.vertices)):
			DFS_(vertices, vertex.vertices[i])
		vertex.f = time
		time += 1
	
n = int(input())
vertices = []
for i in range(n):
	v = list(map(int, input().split()))
	u = v[0]
	k = v[1]
	vertex = Vertex(u, k)
	for j in range(k):
		vertex.vertices[j] = v[j+2]
	vertices.append(vertex)

DFS(n, vertices)
for i in range(n):
	print(str(vertices[i]))

Submission status: Accepted

Solution code:
WHITE = 0
GRAY = 1
BLACK = 2
tt = -1

def next(u, m, n, nt):
    start = nt[u]
    for v in range(start, n):
        nt[u] = v + 1
        if m[u][v]:
            return v
    return -1


def dfs_visit(r, m, n, color, d, f):
    nt = [0] * n
    stack = [r]
    color[r] = GRAY
    global tt
    tt += 1
    d[r] = tt

    while len(stack) != 0:
        u = stack[-1]
        v = next(u, m, n, nt)
        if v != -1:
            if color[v] == WHITE:
                color[v] = GRAY
                tt += 1
                d[v] = tt
                stack.append(v)
        else:
            stack.pop()
            color[u] = BLACK
            tt += 1
            f[u] = tt


def dfs(n, m):
    color = [WHITE] * n
    d = [-1] * n
    f = [-1] * n
    global tt
    tt = 0
    for u in range(n):
        if color[u] == WHITE:
            dfs_visit(u, m, n, color, d, f)
    for i in range(n):
        print('{0} {1} {2}'.format(i+1, d[i], f[i]))



n = int(input())
m = [[False] * n for i in range(n)]
for i in range(n):
    line = [int(v) for v in input().split()]
    u = line[0] - 1
    for v in line[2:]:
        v -= 1
        m[u][v] = True

dfs(n, m)

Submission status: Accepted

Solution code:
def dfs(i,a,d,f,t):
    if d[i-1]:
        return t
    d[i-1] = t
    t += 1
    for j in a[i-1]:
        t = dfs(j,a,d,f,t)
    f[i-1] = t
    t += 1
    return t
 
if __name__ == "__main__":
    n = int(input())
    a = []
    for i in range(n):
        a.append(list(map(int,input().split()))[2:])
    d = [0]*n
    f = [0]*n
    t = 1
    for i in range(n):
        if d[i] == 0:
            t = dfs(i+1,a,d,f,t)
    for i in range(n):
        print(i+1,d[i],f[i])

Submission status: Accepted

Solution code:
def depthFirstSearch(i, Adj, d, f, t):
    if d[i - 1]:
        return t

    d[i - 1] = t
    t += 1

    for v in Adj[i - 1]:
        t = depthFirstSearch(v, Adj, d, f, t)

    f[i - 1] = t
    t += 1

    return t


n = int(input())
Adj = [list(map(int, input().split()))[2:] for _ in range(n)]

d = [0] * n
f = [0] * n

t = 1
for i in range(n):
    if d[i] == 0:
        t = depthFirstSearch(i + 1, Adj, d, f, t)

for i, df in enumerate(zip(d, f)):
    print(i + 1, *df)

Submission status: Accepted

Solution code:
# Graph I - Depth First Search
def dfs(idx,A):
    global time,d,f
    d[idx] = time
    time += 1
    for i,v in enumerate(A[idx]):
        if v == 1 and d[i] == 0:
            dfs(i,A)
    f[idx] = time
    time += 1

n = int(input())
A = []
for _ in range(n):
    ss = list(map(int, input().split()))
    u = ss[0] - 1
    row = [0 for _ in range(n)]
    for i in range(ss[1]):
        idx = 2 + i
        row[ss[idx]-1] = 1
    A.append(row)

time = 1
d = [0 for _ in range(n)]
f = [0 for _ in range(n)]
for i in range(n):
    if d[i] == 0:
        dfs(i,A)

for i,t in enumerate(zip(d,f)):
    print(i+1,t[0],t[1])

Submission status: Runtime Error

Solution code:
def dfs(n):
    global t
    S[n] = t
    DP[n]=1
    for i in A[n][2:]:
        if not DP[i]:
            t += 1
            dfs(i)
    t += 1
    F[n] = t
n = int(input())
d = deque()
A = [0]*(n+1)
S = [0]*(n+1)
F = [0]*(n+1)
DP = [0]*(n+1)
for i in range(n):
    A[i+1] = [int(i) for i in input().split()]
t = 1
dfs(1)
for i in range(1,n+1):
    tmp = "{} {} {}".format(i,S[i],F[i])
    print(tmp)

Submission status: Runtime Error

Solution code:
#coding: utf-8

n = int(input())
color = ["white" for i in range(n)]
d = [[] for i in range(n)]
global t
t = 0
M = [[False for i in range(n)] for j in range(n)]
for i in range(n):
    data = list(map(int,input().split()))
    u = data[0]
    k = data[1]
    if i == 0:
        start = u
    for v in data[2:2+k]:
        M[u-1][v-1] = True


def search(u,t):
    t += 1
    color[u-1] = "gray"
    d[u-1].append(t)
    for v in range(n):
        if M[u-1][v-1] and color[v-1] == "white":
            t = search(v,t)
    color[u-1] = "black"
    t += 1
    d[u-1].append(t)
    return t

search(start, t)
for i in range(n):
    print(i+1, d[i][0], d[i][1])

Submission status: Runtime Error

Solution code:
import sys

WHITE = 0
GRAY = 1
BLACK = 2


def dbg_record(records):
    for index, record in enumerate(records):
        print("???????????????: %d" % index)
        if isinstance(record, dict):
            print("??\??????: %d" % record.get("visit", -1))
            print("?????????: %d" % record.get("leave", -1))
        else:
            print("?????????")
        print("")


def dfs(matrix):
    def internal_dfs(node_id, current_time):
        if state[node_id] == WHITE:
            # ?¨??????????
            state[node_id] = GRAY
            stack.append(node_id)
            records[node_id] = {"visit": current_time}  # ?¨??????????????¨????

            # ?¬?????¨????????????¨?????§????????????????????¢???
            next_id = None
            for index in range(len(matrix)):
                if matrix[node_id][index] == 1 and state[index] == WHITE:
                    next_id = index
                    break

            if next_id is not None:
                internal_dfs(next_id, current_time + 1)
            elif 0 < len(stack):
                # ?¬?????¨????????????¨?????§?????????????????????????????????????????°?????????
                internal_dfs(stack.pop(), current_time + 1)
        elif state[node_id] == GRAY:
            # ????????????

            # ?¬?????¨????????????¨?????§????????????????????¢???
            next_id = None
            for index in range(len(matrix)):
                if matrix[node_id][index] == 1 and state[index] == WHITE:
                    next_id = index
                    break

            if next_id is not None:
                stack.append(node_id)
                # internal_dfs(next_id, current_time + 1)
                internal_dfs(next_id, current_time)
            elif 0 < len(stack):
                # ?¬?????¨????????????¨?????§?????????????????????????????????????????°?????????
                state[node_id] = BLACK
                records[node_id]["leave"] = current_time  # ????????????????¨????
                internal_dfs(stack.pop(), current_time + 1)
            else:  # ??????????§????????????£???????????¨??? (node_id should be 0)
                state[node_id] = BLACK
                records[node_id]["leave"] = current_time
        elif state[node_id] == BLACK:
            print("Black!!")

    state = [WHITE] * len(matrix)  # White, Gray, Black
    records = [None] * len(matrix)  # Save time when the node is processed
    stack = []

    internal_dfs(0, 1)
    # dbg_record(records)
    return records


if __name__ == "__main__":
    # ??????????????????
    # lines = [
    #     "6",
    #     "1 2 2 3",
    #     "2 2 3 4",
    #     "3 1 5",
    #     "4 1 6",
    #     "5 1 6",
    #     "6 0",
    # ]
    lines = sys.stdin.readlines()

    # Create n * n matrix
    dimension = int(lines[0])
    matrix = []
    for x in range(dimension):
        matrix.append([0] * dimension)

    # Set edge info
    for index, line in enumerate(lines[1:]):
        for edge in [int(x) for x in line.strip().split(" ")[2:]]:
            matrix[index][edge - 1] = 1

    result = dfs(matrix)
    for index, line in enumerate(result):
        print("%d %d %d" % (index + 1, line.get("visit", -1), line.get("leave", -1)))

Submission status: Runtime Error

Solution code:
def depth(num)
 for x[num] 
n = raw_input
for i in range(n):
 all = map(int,raw_input().split())
 num = all[0]
 x[i] = all[1]
 if all[1] != 0:
  ne[i] = all[2:]
for i in range(n)
 depth(i)

Submission status: Runtime Error

Solution code:
class Node(object):
    def __init__(self, V):
        self.V = V
        self.find_time = 0
        self.finish_time = 0
        self.is_finded = False


n = int(input())
nodes = [0] * 101
for i in range(n):
    data = input().split()
    V = list(map(int, data[2:]))
    V.sort(reverse = True)
    nodes[int(data[0])] = Node(V)

find_q = []
find_q.append(1)
cnt = 1
q_size = len(find_q)
while q_size != 0:
    #print(find_q)
    node = nodes[find_q[q_size -1]]

    if node.is_finded == False:
        node.find_time = cnt
        cnt += 1
        node.is_finded = True
        if len(node.V) == 0:
            node.finish_time = cnt
            cnt += 1
            del find_q[q_size -1]
            q_size = len(find_q)
        else:
            for x in node.V:
                if x in find_q:
                    find_q.remove(x)
                if nodes[x].finish_time == 0: 
                    find_q.append(x)
            q_size = len(find_q)

    else:   #node is finded
        node.finish_time = cnt
        cnt += 1
        del find_q[q_size -1]
        q_size = len(find_q)
        continue

for i in range(1, n+1):
    if not isinstance(nodes[i], int)
        print(i, nodes[i].find_time, nodes[i].finish_time)

Submission status: Runtime Error

Solution code:

def DFS(i):
    for j in range(n):
        if A[i][j] == 1 and d[j] == 0:
            time = time + 1
            d[j] = time
            DFS(j)
    time = time + 1
    f[i] = time

n = int(raw_input())
A = [0] * n
for i in range(n):
    A[i] = [0] * n

for i in range(n):
    value = map(int, raw_input().split())
    u = value[0] - 1
    k = value[1]
    nodes = value[2:]
    for i in range(k):
        v = nodes[i] - 1
        A[u][v] = 1

d = [0] * n
f = [0] * n
time = 1
d[0] = time
DFS(0)

for i in range(n):
    print(str(i + 1) + " " + str(d[0]) + " " + str(f[0]))

Submission status: Runtime Error

Solution code:

# ??±???????????¢?´¢(Depth First Search)

def DFS(i, n):
    for j in range(n):
        if A[i][j] == 1 and d[j] == 0:
            time = time + 1
            d[j] = time
            DFS(j)
    time = time + 1
    f[i] = time

n = int(raw_input())
A = [0] * n
for i in range(n):
    A[i] = [0] * n

for i in range(n):
    value = map(int, raw_input().split())
    u = value[0] - 1
    k = value[1]
    nodes = value[2:]
    for i in range(k):
        v = nodes[i] - 1
        A[u][v] = 1

d = [0] * n
f = [0] * n
time = 1
d[0] = time
DFS(0, n)

for i in range(n):
    print(str(i + 1) + " " + str(d[0]) + " " + str(f[0]))

Submission status: Runtime Error

Solution code:
# ???±????????????¢??´?¢(Depth First Search)
??
def DFS(i = 0, n = 1):
????????for j in range(n):
????????????????if A[i][j] == 1 and d[j] == 0:
????????????????????????time = time + 1
????????????????????????d[j] = time
????????????????????????DFS(j)
????????time = time + 1
????????f[i] = time
??
n = int(raw_input())
A = [0] * n
for i in range(n):
????????A[i] = [0] * n
??
for i in range(n):
????????value = map(int, raw_input().split())
????????u = value[0] - 1
????????k = value[1]
????????nodes = value[2:]
????????for i in range(k):
????????????????v = nodes[i] - 1
????????????????A[u][v] = 1
??
d = [0] * n
f = [0] * n
time = 1
d[0] = time
DFS(0, n)
??
for i in range(n):
????????print(str(i + 1) + " " + str(d[0]) + " " + str(f[0]))

Submission status: Runtime Error

Solution code:

# ??±???????????¢?´¢(Depth First Search)

def DFS(n = 1, A = [0], i = 0, d = [0], f = [0], time = 1):
    for j in range(n):
        if A[i][j] == 1 and d[j] == 0:
            time = time + 1
            d[j] = time
            DFS(n, A, j, d, f, time)
    time = time + 1
    f[i] = time

n = int(raw_input())
A = [0] * n
for i in range(n):
    A[i] = [0] * n

for i in range(n):
    value = map(int, raw_input().split())
    u = value[0] - 1
    k = value[1]
    nodes = value[2:]
    for i in range(k):
        v = nodes[i] - 1
        A[u][v] = 1

d = [0] * n
f = [0] * n
time = 1
d[0] = time
DFS(n, A, 0, d, f, time)

for i in range(n):
    print(str(i + 1) + " " + str(d[0]) + " " + str(f[0]))

Submission status: Runtime Error

Solution code:

# ??±???????????¢?´¢(Depth First Search)

def DFS(n = 1, A = [0], i = 0, d = [0], f = [0], time = 1):
    for j in range(n):
        if A[i][j] == 1 and d[j] == 0:
            time = time + 1
            d[j] = time
            time = DFS(n, A, j, d, f, time)
    time = time + 1
    f[i] = time
    return time

n = int(raw_input())
A = [0] * n
for i in range(n):
    A[i] = [0] * n

for i in range(n):
    value = map(int, raw_input().split())
    u = value[0] - 1
    k = value[1]
    nodes = value[2:]
    for i in range(k):
        v = nodes[i] - 1
        A[u][v] = 1

d = [0] * n
f = [0] * n

time = 0
for i in range(n):
    if d[i] == 0:
        time = time + 1
        d[i] = time
        time = DFS(n, A, i, d, f, time)

for i in range(n):
    print(str(i + 1) + " " + str(d[i]) + " " + str(f[i]))

Submission status: Runtime Error

Solution code:

# ??±???????????¢?´¢(Depth First Search)

def DFS(n = 1, i = 0, time = 1):
    for j in range(n):
        if A[i][j] == 1 and d[j] == 0:
            time = time + 1
            d[j] = time
            time = DFS(n, j, time)
    time = time + 1
    f[i] = time
    return time

n = int(raw_input())
A = [0] * n
for i in range(n):
    A[i] = [0] * n

for i in range(n):
    value = map(int, raw_input().split())
    u = value[0] - 1
    k = value[1]
    nodes = value[2:]
    for j in range(k):
        v = nodes[j] - 1
        A[u][v] = 1

d = [0] * n
f = [0] * n

time = 0
for i in range(n):
    if d[i] == 0:
        time = time + 1
        d[i] = time
        time = DFS(n, i, time)

for i in range(n):
    print(str(i + 1) + " " + str(d[i]) + " " + str(f[i]))

Submission status: Runtime Error

Solution code:
def dfs_v(u):
  color[u] = 1
  d[u] = ++t
  for v in range(n):
    if M[u][v] == 0 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  f[u] = ++t

def dfs():
  color[0 for i in range(n)]
  t = 0
  for u in range(n):
    dfs_v(u)
  for u in range(n):
    print "%d %d %d" %(u+1, d[u], f[u])

n = input()

M[0 for i in range(n)]0 for j in range(n)]

for i in range(n):
  u, k = map(int, raw_input().split())
  for j in range(n):
   v = input()
   M[u-1][v-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
def dfs_v(u):
  color[u] = 1
  d[u] = ++t
  for v in range(n):
    if M[u][v] == 0 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  f[u] = ++t

def dfs():
  color[0 for i in range(n)]
  t = 0
  for u in range(n):
    dfs_v(u)
  for u in range(n):
    print "%d %d %d" %(u+1, d[u], f[u])

n = input()

M[0 for i in range(n)]0 for j in range(n)]

for i in range(n):
  u, k = map(int, raw_input().split())
  for j in range(n):
   v = input()
   M[u][v] = 1

dfs()

Submission status: Runtime Error

Solution code:
def dfs_v(u):
  color[u] = 1
  d[u] = ++t
  for v in range(n):
    if M[u][v] == 0 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  f[u] = ++t

def dfs():
  color[0 for i in range(n)]
  t = 0
  for u in range(n):
    dfs_v(u)
  for u in range(n):
    print "%d %d %d" %(u+1, d[u], f[u])

n = input()

M[0 for i in range(n)]0 for j in range(n)]

for i in range(n):
  u, k = map(int, raw_input().split())
  for j in range(k):
   v = input()
   M[u-1][v-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
def dfs_v(u):
  color[u] = 1
  d[u] = ++t
  for v in range(n):
    if M[u][v] == 0 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  f[u] = ++t

def dfs():
  color = [0 for i in range(n)]
  t = 0
  for u in range(n):
    dfs_v(u)
  for u in range(n):
    print "%d %d %d" %(u+1, d[u], f[u])

n = input()

d = [0 for i in range(n)]
f = [0 for i in range(n)]
M = [0 for i in range(n)]0 for j in range(n)]

for i in range(n):
  u, k = map(int, raw_input().split())
  for j in range(k):
   v = input()
   M[u-1][v-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
def dfs_v(u):
  color[u] = 1
  t++
  d[u] += t
  for v in range(n):
    if M[u][v] == 0 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  t++
  f[u] += t

def dfs():
  color = [0 for i in range(n)]
  t = 0
  for u in range(n):
    dfs_v(u)
  for u in range(n):
    print "%d %d %d" %(u+1, d[u], f[u])

n = input()

d = [0 for i in range(n)]
f = [0 for i in range(n)]
M = [0 for i in range(n)]0 for j in range(n)]

for i in range(n):
  u, k = map(int, raw_input().split())
  for j in range(k):
   v = input()
   M[u-1][v-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
def dfs_v(u):
  color[u] = 1
  t += 1
  d[u] += t
  for v in range(n):
    if M[u][v] == 0 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  t += 1
  f[u] += t

def dfs():
  color = [0 for i in range(n)]
  t = 0
  for u in range(n):
    dfs_v(u)
  for u in range(n):
    print "%d %d %d" %(u+1, d[u], f[u])

n = input()

d = [0 for i in range(n)]
f = [0 for i in range(n)]
M = [0 for i in range(n)]0 for j in range(n)]

for i in range(n):
  u, k = map(int, raw_input().split())
  for j in range(k):
   v = input()
   M[u-1][v-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
def dfs_v(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 0 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  t += 1
  f[u] = t

def dfs():
  color = [0 for i in range(n)]
  t = 0
  for u in range(n):
    dfs_v(u)
  for u in range(n):
    print "%d %d %d" %(u+1, d[u], f[u])

n = input()

d = [0 for i in range(n)]
f = [0 for i in range(n)]
M = [0 for i in range(n)]0 for j in range(n)]

for i in range(n):
  u, k = map(int, raw_input().split())
  for j in range(k):
   v = input()
   M[u-1][v-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
def dfs_v(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 0 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  t += 1
  f[u] = t

def dfs():
  color = [0 for i in range(n)]
  t = 0
  for u in range(n):
    dfs_v(u)
  for u in range(n):
    print u+1, d[u], f[u]

n = input()

d = [0 for i in range(n)]
f = [0 for i in range(n)]
M = [0 for i in range(n)]0 for j in range(n)]

for i in range(n):
  u, k = map(int, raw_input().split())
  for j in range(k):
   v = input()
   M[u-1][v-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
def dfs_v(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 0 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  t += 1
  f[u] = t

def dfs():
  color = [0 for i in range(n)]
  t = 0
  for u in range(n):
    dfs_v(u)
  for u in range(n):
    print u+1, d[u], f[u]

n = input()

color = [0 for i in range(100)]
d = [0 for i in range(100)]
f = [0 for i in range(100)]
M = [0 for i in range(n)]0 for j in range(n)]

for i in range(n):
  u, k = map(int, raw_input().split())
  for j in range(k):
   v = input()
   M[u-1][v-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
def dfs_v(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 0 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  t += 1
  f[u] = t

def dfs():
  color = [0 for i in range(n)]
  t = 0
  for u in range(n):
    if color[u] == 0:
      dfs_v(u)
  for u in range(n):
    print u+1, d[u], f[u]

n = input()

color = [0 for i in range(100)]
d = [0 for i in range(100)]
f = [0 for i in range(100)]
M = [0 for i in range(n)]0 for j in range(n)]

for i in range(n):
  u, k = map(int, raw_input().split())
  for j in range(k):
   v = input()
   M[u-1][v-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
def dfs_v(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 1 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  t += 1
  f[u] = t

def dfs():
  t = 0
  for u in range(n):
    if color[u] == 0:
      dfs_v(u)
  for u in range(n):
    print u+1, d[u], f[u]

n = input()

color = [0 for i in range(100)]
d = [0 for i in range(100)]
f = [0 for i in range(100)]
M = [0 for i in range(n)]0 for j in range(n)]

for i in range(n):
  u, k = map(int, raw_input().split())
  for j in range(k):
   v = input()
   M[u-1][v-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
def dfs_v(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 1 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  t += 1
  f[u] = t

def dfs():
  t = 0
  for u in range(n):
    if color[u] == 0:
      dfs_v(u)
  for u in range(n):
    print u+1, d[u], f[u]

n = input()

color = [0 for i in range(100)]
d = [0 for i in range(100)]
f = [0 for i in range(100)]
M = [0 for i in range(n)]0 for j in range(n)]

for i in range(n):
  X = map(int, raw_input().split())
  for j in range(X[1]):
   M[X[0]] [X[2+j]-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
n = input()

color = [0 for i in range(100)]
d = [0 for i in range(100)]
f = [0 for i in range(100)]
M = [0 for i in range(n)]0 for j in range(n)]

def dfs_v(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 1 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  t += 1
  f[u] = t

def dfs():
  t = 0
  for u in range(n):
    if color[u] == 0:
      dfs_v(u)
  for u in range(n):
    print u+1, d[u], f[u]

for i in range(n):
  X = map(int, raw_input().split())
  for j in range(X[1]):
   M[X[0]] [X[2+j]-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
n = input()

color = [0 for i in range(n)]
d = [0 for i in range(n)]
f = [0 for i in range(n)]
M = [0 for i in range(n)]0 for j in range(n)]

def dfs_v(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 1 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  t += 1
  f[u] = t

def dfs():
  t = 0
  for u in range(n):
    if color[u] == 0:
      dfs_v(u)
  for u in range(n):
    print u+1, d[u], f[u]

for i in range(n):
  X = map(int, raw_input().split())
  for j in range(X[1]):
   M[X[0]] [X[2+j]-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
n = input()

color = [0 for i in range(n)]
d = [0 for i in range(n)]
f = [0 for i in range(n)]
M = [0 for i in range(n)]0 for j in range(n)]

def dfs_v(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 1 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  t += 1
  f[u] = t

def dfs():
  t = 0
  for u in range(n):
    if color[u] == 0:
      dfs_v(u)
  for u in range(n):
    print u+1, d[u], f[u]

for i in range(n):
  X = map(int, raw_input().split())
  for j in range(X[1]):
   M[X[0]-1] [X[2+j]-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
n = input()

color = [0 for i in range(n)]
d = [0 for i in range(n)]
f = [0 for i in range(n)]
M = [0 for i in range(n)]0 for j in range(n)]
t = 0

def dfs_v(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 1 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  t += 1
  f[u] = t

def dfs():
  for u in range(n):
    if color[u] == 0:
      dfs_v(u)
  for u in range(n):
    print u+1, d[u], f[u]

for i in range(n):
  X = map(int, raw_input().split())
  for j in range(X[1]):
   M[X[0]-1] [X[2+j]-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
n = input()

color = [0 for i in range(n)]
d = [0 for i in range(n)]
f = [0 for i in range(n)]
M = [0 for i in range(n)]0 for j in range(n)]
t = 0

def dfs_v(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 1 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  t += 1
  f[u] = t

def dfs():
  for u in range(n):
    if color[u] == 0:
      dfs_v(u)
  for u in range(n):
    print u+1, d[u], f[u]

for i in range(n):
  X = map(int, raw_input().split())
  for j in range(X[1]):
    M[X[0]-1] [X[2+j]-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
n = input()

color = [0 for i in range(n)]
d = [0 for i in range(n)]
f = [0 for i in range(n)]
M = [0 for i in range(n)] for j in range(n)]
t = 0

def dfs_v(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 1 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  t += 1
  f[u] = t

def dfs():
  for u in range(n):
    if color[u] == 0:
      dfs_v(u)
  for u in range(n):
    print u+1, d[u], f[u]

for i in range(n):
  X = map(int, raw_input().split())
  for j in range(X[1]):
    M[X[0]-1] [X[2+j]-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
n = input()

color = [0 for i in range(n)]
d = [0 for i in range(n)]
f = [0 for i in range(n)]
M = [[0 for i in range(n)] for j in range(n)]
t = 0

def dfs_v(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 1 and color[v] == 0:
      dfs_v(v)
  color[u] = 2
  t += 1
  f[u] = t

def dfs():
  for u in range(n):
    if color[u] == 0:
      dfs_v(u)
  for u in range(n):
    print u+1, d[u], f[u]

for i in range(n):
  X = map(int, raw_input().split())
  for j in range(X[1]):
    M[X[0]-1][X[2+j]-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
n = input()

color = [0 for i in range(n)]
d = [0 for i in range(n)]
f = [0 for i in range(n)]
M = [[0 for i in range(n)] for j in range(n)]
t = 0

def dfsv(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 1 and color[v] == 0:
      dfsv(v)
  color[u] = 2
  t += 1
  f[u] = t

def dfs():
  for u in range(n):
    if color[u] == 0:
      dfsv(u)
  for u in range(n):
    print u+1, d[u], f[u]

for i in range(n):
  X = map(int, raw_input().split())
  for j in range(X[1]):
    M[X[0]-1][X[2+j]-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
n = input()

color = [0 for i in range(n)]
d = [0 for i in range(n)]
f = [0 for i in range(n)]
M = [[0 for i in range(n)] for j in range(n)]
X = [0 for i in range(n)]

def dfsv(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 1 and color[v] == 0:
      dfsv(v)
  color[u] = 2
  t += 1
  f[u] = t

def dfs():
  t = 0
  for u in range(n):
    if color[u] == 0:
      dfsv(u)
  for u in range(n):
    print u+1, d[u], f[u]

for i in range(n):
  X = map(int, raw_input().split())
  for j in range(X[1]):
    M[X[0]-1][X[2+j]-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
n = input()

color = [0 for i in range(n)]
d = [0 for i in range(n)]
f = [0 for i in range(n)]
M = [[0 for i in range(n)] for j in range(n)]
X = [0 for i in range(n)]

def dfsv(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 1 and color[v] == 0:
      dfsv(v)
  color[u] == 2
  t += 1
  f[u] = t

def dfs():
  t = 0
  for u in range(n):
    if color[u] == 0:
      dfsv(u)
  for u in range(n):
    print u+1, d[u], f[u]

for i in range(n):
  X = map(int, raw_input().split())
  for j in range(X[1]):
    M[X[0]-1][X[2+j]-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
n = input()

color = [0 for i in range(n)]
d = [0 for i in range(n)]
f = [0 for i in range(n)]
M = [[0 for i in range(n)] for j in range(n)]
X = [0 for i in range(n)]

def dfsv(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 1 and color[v] == 0:
      dfsv(v)
  color[u] = 2
  t += 1
  f[u] = t

def dfs():
  t = 0
  for u in range(n):
    if color[u] == 0:
      dfsv(u)
  for u in range(n):
    print (u+1, d[u], f[u])

for i in range(n):
  X = map(int, raw_input().split())
  for j in range(X[1]):
    M[X[0]-1][X[2+j]-1] = 1

dfs()

Submission status: Runtime Error

Solution code:
n = input()

color = [0 for i in range(n)]
d = [0 for i in range(n)]
f = [0 for i in range(n)]
M = [[0 for i in range(n)] for j in range(n)]
X = [0 for i in range(n)]
t = 0

def DFSv(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 1 and color[v] == 0:
      DFSv(v)
  color[u] = 2
  t += 1
  f[u] = t

def DFS():
  for u in range(n):
    if color[u] == 0:
      DFSv(u)
  for u in range(n):
    print u+1, d[u], f[u]

for i in range(n):
  X = map(int, raw_input().split())
  for j in range(X[1]):
    M[X[0]-1][X[2+j]-1] = 1

DFS()

Submission status: Runtime Error

Solution code:
n = input()

color = [0 for i in range(n)]
d = [0 for i in range(n)]
f = [0 for i in range(n)]
M = [[0 for i in range(n)] for j in range(n)]
X = [0 for i in range(n)]
t = 0

def DFSv(u):
  color[u] = 1
  t += 1
  d[u] = t
  for v in range(n):
    if M[u][v] == 1 and color[v] == 0:
      DFSv(v)
  color[u] = 2
  t += 1
  f[u] = t

def DFS():
  for u in range(n):
    if color[u] == 0:
      DFSv(u)
  for u in range(n):
    print u+1, d[u], f[u]

for i in range(n):
  X = map(int, raw_input().split())
  for j in range(X[1]):
    M[X[0]-1][X[2+j]-1] = 1

DFS()

n = input()
 
d = [0 for i in range(n)]
f = [0 for i in range(n)]
X = [0 for i in range(n)]
M = [[0 for i in range(n)] for j in range(n)]
color = [0 for i in range(n)]
t = 0
 
def DFS_v(u):
    color[u] = 1
    t += 1
    d[u] = t[0]
    for v in range(n):
        if M[u][v] == 1 and st[v] == 0:
            DFS_visit(v)
    color[u] == 2
    t += 1
    f[u] = t
 
def DFS():
    for u in range(n):
        if st[u] == 0:
            DFS_v(u)
    for u in range(n):
        print u+1, d[u], f[u])
     
for i in range(n):
    X = map(int, raw_input().split())
    for j in range(X[1]):
        M[X[0]-1][X[2+j]-1] = 1
 
DFS()