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

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

mod = 10**9+7 #出力の制限
N = 10**6
g1 = [1, 1] # 元テーブル
g2 = [1, 1] #逆元テーブル
inverse = [0, 1] #逆元テーブル計算用テーブル

for i in range( 2, N + 1 ):
    g1.append( ( g1[-1] * i ) % mod )
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )

# topological sort
s = []
s.append(0)
parent = [-1]*n
order = []
while s:
    v = s.pop()
    order.append(v)
    for u in g[v]:
        if u == parent[v]:
            continue
        parent[u] = v
        s.append(u)

dp = [1]*n
c = [0]*n
order.reverse()
for v in order:
    dp[v] *= g1[c[v]]
    dp[v] %= mod
    c[v] += 1
    if parent[v] == -1:
        continue
    c[parent[v]] += c[v]
    dp[parent[v]] *= (dp[v]*g2[c[v]])
    dp[parent[v]] %= mod

order.reverse()
ans = [0]*n
for v in order:
    ans[v] = dp[v]
    for u in g[v]:
        if u == parent[v]:
            continue
        dp[u] *= ans[v]*g2[c[v]-1]*g1[c[v]-1-c[u]]*g1[c[u]]*pow(dp[u],(mod-2),mod)
        dp[u] *= g2[c[u]-1]
        dp[u] *= g1[c[v]-1]
        dp[u] *= g2[c[v]-c[u]]
        dp[u] %= mod
        c[u] = c[v]
for i in range(n):
    print(ans[i]%mod)


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

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

mod = 10**9+7 #出力の制限
N = 10**6
g1 = [1, 1] # 元テーブル
g2 = [1, 1] #逆元テーブル
inverse = [0, 1] #逆元テーブル計算用テーブル

for i in range( 2, N + 1 ):
    g1.append( ( g1[-1] * i ) % mod )
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )

# topological sort
s = []
s.append(0)
parent = [-1]*n
order = []
while s:
    v = s.pop()
    order.append(v)
    for u in g[v]:
        if u == parent[v]:
            continue
        parent[u] = v
        s.append(u)

dp = [1]*n
c = [0]*n
order.reverse()
for v in order:
    dp[v] *= g1[c[v]]
    dp[v] %= mod
    c[v] += 1
    if parent[v] == -1:
        continue
    c[parent[v]] += c[v]
    dp[parent[v]] *= (dp[v]*g2[c[v]])
    dp[parent[v]] %= mod

order.reverse()
ans = [0]*n
for v in order:
    ans[v] = dp[v]
    for u in g[v]:
        if u == parent[v]:
            continue
        dp[u] *= ans[v]*g2[c[v]-1]*g1[c[v]-1-c[u]]*g1[c[u]]*pow(dp[u],(mod-2),mod)
        dp[u] *= g2[c[u]-1]
        dp[u] *= g1[c[v]-1]
        dp[u] *= g2[c[v]-c[u]]
        dp[u] %= mod
        c[u] = c[v]
for i in range(n):
    print(ans[i]%mod)

Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline

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

mod = 10**9+7 #出力の制限
N = 10**5+10
g1 = [1, 1] # 元テーブル
g2 = [1, 1] #逆元テーブル
inverse = [0, 1] #逆元テーブル計算用テーブル

for i in range( 2, N + 1 ):
    g1.append( ( g1[-1] * i ) % mod )
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )

# topological sort
s = []
s.append(0)
parent = [-1]*n
order = []
while s:
    v = s.pop()
    order.append(v)
    for u in g[v]:
        if u == parent[v]:
            continue
        parent[u] = v
        s.append(u)

dp = [1]*n
c = [0]*n
order.reverse()
for v in order:
    dp[v] *= g1[c[v]]
    dp[v] %= mod
    c[v] += 1
    if parent[v] == -1:
        continue
    c[parent[v]] += c[v]
    dp[parent[v]] *= (dp[v]*g2[c[v]])
    dp[parent[v]] %= mod

order.reverse()
ans = [0]*n
for v in order:
    ans[v] = dp[v]
    for u in g[v]:
        if u == parent[v]:
            continue
        dp[u] *= ans[v]*g2[c[v]-1]*g1[c[v]-1-c[u]]*g1[c[u]]*pow(dp[u],(mod-2),mod)
        dp[u] *= g2[c[u]-1]
        dp[u] *= g1[c[v]-1]
        dp[u] *= g2[c[v]-c[u]]
        dp[u] %= mod
        c[u] = c[v]
for i in range(n):
    print(ans[i]%mod)


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

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

mod = 10**9+7 #出力の制限
N = 10**6
g1 = [1, 1] # 元テーブル
g2 = [1, 1] #逆元テーブル
inverse = [0, 1] #逆元テーブル計算用テーブル

for i in range( 2, N + 1 ):
    g1.append( ( g1[-1] * i ) % mod )
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )

# topological sort
s = []
s.append(0)
parent = [-1]*n
order = []
while s:
    v = s.pop()
    order.append(v)
    for u in g[v]:
        if u == parent[v]:
            continue
        parent[u] = v
        s.append(u)

dp = [1]*n
c = [0]*n
order.reverse()
for v in order:
    dp[v] *= g1[c[v]]
    dp[v] %= mod
    c[v] += 1
    if parent[v] == -1:
        continue
    c[parent[v]] += c[v]
    dp[parent[v]] *= (dp[v]*g2[c[v]])
    dp[parent[v]] %= mod

order.reverse()
ans = [0]*n
for v in order:
    ans[v] = dp[v]
    for u in g[v]:
        if u == parent[v]:
            continue
        dp[u] *= ans[v]*g2[c[v]-1]*g1[c[v]-1-c[u]]*g1[c[u]]*pow(dp[u],(mod-2),mod)
        dp[u] *= g2[c[u]-1]
        dp[u] *= g1[c[v]-1]
        dp[u] *= g2[c[v]-c[u]]
        dp[u] %= mod
        c[u] = c[v]
for i in range(n):
    print(ans[i]%mod)