Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline

N = int(input())
vec = [[] for _ in range(N)]
for _ in range(N - 1) :
  a, b = map(int, input().split())
  vec[a - 1].append(b - 1)
  vec[b - 1].append(a - 1)

mod = 10 ** 9 + 7

fac = [1]
for i in range(1, N + 1) :
  fac.append(fac[-1] * i)

inv = [pow(fac[-1], mod - 2, mod)]
for i in range(N, 0, -1) :
  inv.append(inv[-1] * i % mod)
inv = inv[::-1]

def comb(n, r) :
  return fac[n] * inv[n-r] * inv[r] % mod

pattern = [1] * N
subtree = [0] * N

# DFS
stack = [(0, -1, 0)]
while stack :
  cur, pre, op = stack.pop()
  
  if op == 0 :
    stack.append((cur, pre, 1))
    for nex in vec[cur] :
      if nex == pre : continue
      stack.append((nex, cur, 0))
  else :
    for nex in vec[cur] :
      pattern[cur] *= pattern[nex] * comb(subtree[cur] + subtree[nex], subtree[nex]) % mod
      pattern[cur] %= mod
      subtree[cur] += subtree[nex]
    subtree[cur] += 1

# BFS
q = [(0, -1)]
while q :
  cur, pre = q.pop()
  for nex in vec[cur] :
    if nex == pre : continue
    pattern[nex] = pattern[cur] * subtree[nex] * inv[N - subtree[nex]] * fac[N - subtree[nex] - 1] % mod
    q.append((nex, cur))
  
for i in range(N) :
  print(pattern[i])

Fixed submission:
import sys
input = sys.stdin.readline

N = int(input())
vec = [[] for _ in range(N)]
for _ in range(N - 1) :
  a, b = map(int, input().split())
  vec[a - 1].append(b - 1)
  vec[b - 1].append(a - 1)

mod = 10 ** 9 + 7

fac = [1]
for i in range(1, N + 1) :
  fac.append(fac[-1] * i % mod)

inv = [pow(fac[-1], mod - 2, mod)]
for i in range(N, 0, -1) :
  inv.append(inv[-1] * i % mod)
inv = inv[::-1]

def comb(n, r) :
  return fac[n] * inv[n-r] * inv[r] % mod

pattern = [1] * N
subtree = [0] * N

# DFS
stack = [(0, -1, 0)]
while stack :
  cur, pre, op = stack.pop()
  
  if op == 0 :
    stack.append((cur, pre, 1))
    for nex in vec[cur] :
      if nex == pre : continue
      stack.append((nex, cur, 0))
  else :
    for nex in vec[cur] :
      pattern[cur] *= pattern[nex] * comb(subtree[cur] + subtree[nex], subtree[nex]) % mod
      pattern[cur] %= mod
      subtree[cur] += subtree[nex]
    subtree[cur] += 1

# BFS
queue = [(0, -1)]
while queue :
  cur, pre = queue.pop()
  for nex in vec[cur] :
    if nex == pre : continue
    pattern[nex] = pattern[cur] * subtree[nex] * inv[N - subtree[nex]] * fac[N - subtree[nex] - 1] % mod
    queue.append((nex, cur))
  
for i in range(N) :
  print(pattern[i])

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**6)

N = int(input())
vec = [[] for _ in range(N)]
for _ in range(N - 1) :
  a, b = map(int, input().split())
  vec[a - 1].append(b - 1)
  vec[b - 1].append(a - 1)

mod = 10 ** 9 + 7

fac = [1]
inv = [1]
for i in range(1, N + 10) :
  fac.append(fac[-1] * i)
  inv.append(pow(fac[-1], mod - 2, mod))

def comb(n, r) :
  return fac[n] * inv[n-r] * inv[r] % mod

pattern = [1] * N
subtree = [0] * N

def dfs(cur, pre=-1) :
  for nex in vec[cur] :
    if nex == pre : continue
    dfs(nex, cur)
    pattern[cur] *= pattern[nex] * comb(subtree[cur] + subtree[nex], subtree[nex]) % mod
    pattern[cur] %= mod
    subtree[cur] += subtree[nex]
  subtree[cur] += 1
  
dfs(0)

q = [(0, -1)]
while q :
  cur, pre = q.pop()
  for nex in vec[cur] :
    if nex == pre : continue
    pattern[nex] = pattern[cur] * subtree[nex] * inv[N - subtree[nex]] * fac[N - subtree[nex] - 1] % mod
    q.append((nex, cur))
  
for i in range(N) :
  print(pattern[i])

Fixed submission:
import sys
input = sys.stdin.readline

N = int(input())
vec = [[] for _ in range(N)]
for _ in range(N - 1) :
  a, b = map(int, input().split())
  vec[a - 1].append(b - 1)
  vec[b - 1].append(a - 1)

mod = 10 ** 9 + 7

fac = [1]
for i in range(1, N + 1) :
  fac.append(fac[-1] * i % mod)

inv = [pow(fac[-1], mod - 2, mod)]
for i in range(N, 0, -1) :
  inv.append(inv[-1] * i % mod)
inv = inv[::-1]

def comb(n, r) :
  return fac[n] * inv[n-r] * inv[r] % mod

pattern = [1] * N
subtree = [0] * N

# DFS
stack = [(0, -1, 0)]
while stack :
  cur, pre, op = stack.pop()
  
  if op == 0 :
    stack.append((cur, pre, 1))
    for nex in vec[cur] :
      if nex == pre : continue
      stack.append((nex, cur, 0))
  else :
    for nex in vec[cur] :
      pattern[cur] *= pattern[nex] * comb(subtree[cur] + subtree[nex], subtree[nex]) % mod
      pattern[cur] %= mod
      subtree[cur] += subtree[nex]
    subtree[cur] += 1

# BFS
queue = [(0, -1)]
while queue :
  cur, pre = queue.pop()
  for nex in vec[cur] :
    if nex == pre : continue
    pattern[nex] = pattern[cur] * subtree[nex] * inv[N - subtree[nex]] * fac[N - subtree[nex] - 1] % mod
    queue.append((nex, cur))
  
for i in range(N) :
  print(pattern[i])

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**6)

N = int(input())
vec = [[] for _ in range(N)]
for _ in range(N - 1) :
  a, b = map(int, input().split())
  vec[a - 1].append(b - 1)
  vec[b - 1].append(a - 1)

mod = 10 ** 9 + 7

fac = [1]
inv = [1]
for i in range(1, N + 5) :
  fac.append(fac[-1] * i)
  inv.append(pow(fac[-1], mod - 2, mod))

def comb(n, r) :
  return fac[n] * inv[n-r] * inv[r] % mod

pattern = [1] * N
subtree = [0] * N

def dfs(cur, pre=-1) :
  for nex in vec[cur] :
    if nex == pre : continue
    dfs(nex, cur)
    pattern[cur] *= pattern[nex] * comb(subtree[cur] + subtree[nex], subtree[nex]) % mod
    pattern[cur] %= mod
    subtree[cur] += subtree[nex]
  subtree[cur] += 1
  
dfs(0)

q = [(0, -1, 1)]
while q :
  cur, pre, cp = q.pop()
  pattern[cur] *= cp * comb(N - 1, subtree[cur] - 1)
  pattern[cur] %= mod
  for nex in vec[cur] :
    if nex == pre : continue
    ncp = pattern[cur] * pow(pattern[nex] * comb(N - 1, subtree[nex]), mod - 2, mod) % mod
    q.append((nex, cur, ncp))
  
for i in range(N) :
  print(pattern[i])

Fixed submission:
import sys
input = sys.stdin.readline

N = int(input())
vec = [[] for _ in range(N)]
for _ in range(N - 1) :
  a, b = map(int, input().split())
  vec[a - 1].append(b - 1)
  vec[b - 1].append(a - 1)

mod = 10 ** 9 + 7

fac = [1]
for i in range(1, N + 1) :
  fac.append(fac[-1] * i % mod)

inv = [pow(fac[-1], mod - 2, mod)]
for i in range(N, 0, -1) :
  inv.append(inv[-1] * i % mod)
inv = inv[::-1]

def comb(n, r) :
  return fac[n] * inv[n-r] * inv[r] % mod

pattern = [1] * N
subtree = [0] * N

# DFS
stack = [(0, -1, 0)]
while stack :
  cur, pre, op = stack.pop()
  
  if op == 0 :
    stack.append((cur, pre, 1))
    for nex in vec[cur] :
      if nex == pre : continue
      stack.append((nex, cur, 0))
  else :
    for nex in vec[cur] :
      pattern[cur] *= pattern[nex] * comb(subtree[cur] + subtree[nex], subtree[nex]) % mod
      pattern[cur] %= mod
      subtree[cur] += subtree[nex]
    subtree[cur] += 1

# BFS
queue = [(0, -1)]
while queue :
  cur, pre = queue.pop()
  for nex in vec[cur] :
    if nex == pre : continue
    pattern[nex] = pattern[cur] * subtree[nex] * inv[N - subtree[nex]] * fac[N - subtree[nex] - 1] % mod
    queue.append((nex, cur))
  
for i in range(N) :
  print(pattern[i])

Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**6)

N = int(input())
vec = [[] for _ in range(N)]
for _ in range(N - 1) :
  a, b = map(int, input().split())
  vec[a - 1].append(b - 1)
  vec[b - 1].append(a - 1)

mod = 10 ** 9 + 7

fac = [1]
inv = [1]
for i in range(1, N + 5) :
  fac.append(fac[-1] * i)
  inv.append(pow(fac[-1], mod - 2, mod))

def comb(n, r) :
  return fac[n] * inv[n-r] * inv[r] % mod

pattern = [1] * N
subtree = [0] * N

def dfs(cur, pre=-1) :
  for nex in vec[cur] :
    if nex == pre : continue
    dfs(nex, cur)
    pattern[cur] *= pattern[nex] * comb(subtree[cur] + subtree[nex], subtree[nex]) % mod
    pattern[cur] %= mod
    subtree[cur] += subtree[nex]
  subtree[cur] += 1
  
dfs(0)

q = [(0, -1, 1)]
while q :
  cur, pre, cp = q.pop()
  pattern[cur] *= cp * comb(N - 1, subtree[cur] - 1)
  pattern[cur] %= mod
  for nex in vec[cur] :
    if nex == pre : continue
    ncp = pattern[cur] * pow(pattern[nex] * comb(N - 1, subtree[nex]), mod - 2, mod) % mod
    q.append((nex, cur, ncp))
  
for i in range(N) :
  print(pattern[i])

Fixed submission:
import sys
input = sys.stdin.readline

N = int(input())
vec = [[] for _ in range(N)]
for _ in range(N - 1) :
  a, b = map(int, input().split())
  vec[a - 1].append(b - 1)
  vec[b - 1].append(a - 1)

mod = 10 ** 9 + 7

fac = [1]
for i in range(1, N + 1) :
  fac.append(fac[-1] * i % mod)

inv = [pow(fac[-1], mod - 2, mod)]
for i in range(N, 0, -1) :
  inv.append(inv[-1] * i % mod)
inv = inv[::-1]

def comb(n, r) :
  return fac[n] * inv[n-r] * inv[r] % mod

pattern = [1] * N
subtree = [0] * N

# DFS
stack = [(0, -1, 0)]
while stack :
  cur, pre, op = stack.pop()
  
  if op == 0 :
    stack.append((cur, pre, 1))
    for nex in vec[cur] :
      if nex == pre : continue
      stack.append((nex, cur, 0))
  else :
    for nex in vec[cur] :
      pattern[cur] *= pattern[nex] * comb(subtree[cur] + subtree[nex], subtree[nex]) % mod
      pattern[cur] %= mod
      subtree[cur] += subtree[nex]
    subtree[cur] += 1

# BFS
queue = [(0, -1)]
while queue :
  cur, pre = queue.pop()
  for nex in vec[cur] :
    if nex == pre : continue
    pattern[nex] = pattern[cur] * subtree[nex] * inv[N - subtree[nex]] * fac[N - subtree[nex] - 1] % mod
    queue.append((nex, cur))
  
for i in range(N) :
  print(pattern[i])