Buggy python submission (verdict: Runtime Error):
from collections import defaultdict
from functools import lru_cache
import sys
input=sys.stdin.readline


class ReRooting:
    def __init__(self, N, e, merge, f, g):
        self.G = defaultdict(list)
        self.parents = [-1]*(N+1)
        self.dp = defaultdict(lambda: defaultdict(int))
        self.merge = merge
        self.f = f
        self.g = g
        self.e = e

    def add_edge(self, s, t):
        self.G[s].append(t)

    def build(self):
        self.dfs1(1)
        self.dfs2(1)
        return self.dp

    def dfs1(self, s):
        l = []
        q = [1]
        while q:
            s = q.pop()
            l.append(s)
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                self.parents[t] = s
                q.append(t)

        for s in l[::-1]:
            v = self.e
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                v = self.merge(v, self.f(self.dp[s][t], s, t))
            self.dp[self.parents[s]][s] = self.g(v, self.parents[s], s)

    def dfs2(self, s):
        q = [(s, self.e)]
        while q:
            s, dp_p = q.pop()
            par = self.parents[s]
            for t in self.G[s]:
                if t == par:
                    self.dp[s][t] = dp_p

            size = len(self.G[s])
            ac_l = [self.e] * (size+1)
            ac_r = [self.e] * (size+1)
            for i, t in enumerate(self.G[s]):
                ac_l[i+1] = self.merge(ac_l[i], self.f(self.dp[s][t], s, t))
            for i, t in enumerate(self.G[s][::-1]):
                ac_r[size-i-1] = self.merge(ac_r[size-i], self.f(self.dp[s][t], s, t))
            self.dp[-1][s] = self.g(ac_l[size], -1, s)

            for i, t in enumerate(self.G[s]):
                if t == par:
                    continue
                q.append((t, self.g(self.merge(ac_l[i], ac_r[i+1]), t, s)))


def solve():
    N = int(input())

    MOD = 10**9+7
    n = N
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    d = defaultdict(list)

    for i in range(1,n+1):
        fac[i] = i*fac[i-1]%MOD
        rev[i] = pow(fac[i], MOD-2, MOD)

    merge1 = lambda x,y:x+y
    f1 = lambda x, par, s:x
    g1 = lambda x, par, s:x+1
    e1 = 0
    tree1 = Reroot(N, e1, merge1, f1, g1)
    tree_size = tree1.build()

    merge2 = lambda x,y:(x*y)%MOD
    f2 = lambda x, par, s:(x*rev[tree_size[par][s]])%MOD
    g2 = lambda x, par, s:(x*fac[tree_size[par][s]-1])%MOD
    e2 = 1
    tree2 = Reroot(N, e2, merge2, f2, g2)

    for _ in range(N-1):
        a, b = map(int, input().split())
        tree2.add_edge(a, b)
        tree2.add_edge(b, a)
        tree1.add_edge(a, b)
        tree1.add_edge(b, a)

    ans = tree2.build()
    for i in range(1, N+1):
        print(ans[-1][i])


if __name__ == "__main__":
    solve()


Fixed submission:
from collections import defaultdict
from functools import lru_cache
import sys
input=sys.stdin.readline


class Reroot:
    def __init__(self, N, e, merge, f, g):
        self.G = defaultdict(list)
        self.parents = [-1]*(N+1)
        self.dp = defaultdict(lambda: defaultdict(int))
        self.ans = [0]*(N+1)
        self.merge = merge
        self.f = f
        self.g = g
        self.e = e

    def add_edge(self, s, t):
        self.G[s].append(t)

    def build(self):
        self.dfs1(1)
        self.dfs2(1)
        return self.ans

    def dfs1(self, s):
        l = []
        q = [1]
        while q:
            s = q.pop()
            l.append(s)
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                self.parents[t] = s
                q.append(t)

        for s in l[::-1]:
            v = self.e
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                v = self.merge(v, self.f(self.dp[s][t], s, t))
            self.dp[self.parents[s]][s] = self.g(v, self.parents[s], s)

    def dfs2(self, s):
        q = [(s, self.e)]
        while q:
            s, dp_p = q.pop()
            par = self.parents[s]
            for t in self.G[s]:
                if t == par:
                    self.dp[s][t] = dp_p

            size = len(self.G[s])
            ac_l = [self.e] * (size+1)
            ac_r = [self.e] * (size+1)
            for i, t in enumerate(self.G[s]):
                ac_l[i+1] = self.merge(ac_l[i], self.f(self.dp[s][t], s, t))
            for i, t in enumerate(self.G[s][::-1]):
                ac_r[size-i-1] = self.merge(ac_r[size-i], self.f(self.dp[s][t], s, t))
            self.ans[s] = self.g(ac_l[size], -1, 1)
            for i, t in enumerate(self.G[s]):
                if t == par:
                    continue
                q.append((t, self.g(self.merge(ac_l[i], ac_r[i+1]), t, s)))


def solve():
    N = int(input())

    MOD = 10**9+7
    n = N
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    d = defaultdict(list)

    for i in range(1,n+1):
        fac[i] = i*fac[i-1]%MOD
        rev[i] = pow(fac[i], MOD-2, MOD)

    merge1 = lambda x,y:x+y
    f1 = lambda x, par, s:x
    g1 = lambda x, par, s:x+1
    e1 = 0
    tree1 = Reroot(N, e1, merge1, f1, g1)

    merge2 = lambda x,y:(x*y)%MOD
    f2 = lambda x, par, s:(x*rev[tree1.dp[par][s]])%MOD
    g2 = lambda x, par, s:(x*fac[tree1.dp[par][s]-1])%MOD
    e2 = 1
    tree2 = Reroot(N, e2, merge2, f2, g2)

    for _ in range(N-1):
        a, b = map(int, input().split())
        tree2.add_edge(a, b)
        tree2.add_edge(b, a)
        tree1.add_edge(a, b)
        tree1.add_edge(b, a)

    tree1.build()
    ans = tree2.build()

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


if __name__ == "__main__":
    solve()

Buggy python submission (verdict: Runtime Error):
from collections import defaultdict
from functools import lru_cache
import sys
input=sys.stdin.readline


class Reroot:
    def __init__(self, N, e, merge, f, g):
        self.G = defaultdict(list)
        self.parents = [-1]*(N+1)
        self.dp = defaultdict(lambda: defaultdict(int))
        self.merge = merge
        self.f = f
        self.g = g
        self.e = e

    def add_edge(self, s, t):
        self.G[s].append(t)

    def build(self):
        self.dfs1(1)
        self.dfs2(1)
        return self.dp

    def dfs1(self, s):
        l = []
        q = [1]
        while q:
            s = q.pop()
            l.append(s)
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                self.parents[t] = s
                q.append(t)

        for s in l[::-1]:
            v = self.e
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                v = self.merge(v, self.f(self.dp[s][t], s, t))
            self.dp[self.parents[s]][s] = self.g(v, self.parents[s], s)

    def dfs2(self, s):
        q = [(s, self.e)]
        while q:
            s, dp_p = q.pop()
            par = self.parents[s]
            for t in self.G[s]:
                if t == par:
                    self.dp[s][t] = dp_p

            size = len(self.G[s])
            ac_l = [self.e] * (size+1)
            ac_r = [self.e] * (size+1)
            for i, t in enumerate(self.G[s]):
                ac_l[i+1] = self.merge(ac_l[i], self.f(self.dp[s][t], s, t))
            for i, t in enumerate(self.G[s][::-1]):
                ac_r[size-i-1] = self.merge(ac_r[size-i], self.f(self.dp[s][t], s, t))
            self.ans[s] = self.g(ac_l[size], -1, 1)
            self.dp[-1][s] = self.g(ac_l[size], -1, s)

            for i, t in enumerate(self.G[s]):
                if t == par:
                    continue
                q.append((t, self.g(self.merge(ac_l[i], ac_r[i+1]), t, s)))


def solve():
    N = int(input())

    MOD = 10**9+7
    n = N
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    d = defaultdict(list)

    for i in range(1,n+1):
        fac[i] = i*fac[i-1]%MOD
        rev[i] = pow(fac[i], MOD-2, MOD)

    merge1 = lambda x,y:x+y
    f1 = lambda x, par, s:x
    g1 = lambda x, par, s:x+1
    e1 = 0
    tree1 = Reroot(N, e1, merge1, f1, g1)

    merge2 = lambda x,y:(x*y)%MOD
    f2 = lambda x, par, s:(x*rev[tree1.dp[par][s]])%MOD
    g2 = lambda x, par, s:(x*fac[tree1.dp[par][s]-1])%MOD
    e2 = 1
    tree2 = Reroot(N, e2, merge2, f2, g2)

    for _ in range(N-1):
        a, b = map(int, input().split())
        tree2.add_edge(a, b)
        tree2.add_edge(b, a)
        tree1.add_edge(a, b)
        tree1.add_edge(b, a)

    tree1.build()
    ans = tree2.build()

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


if __name__ == "__main__":
    solve()


Fixed submission:
from collections import defaultdict
from functools import lru_cache
import sys
input=sys.stdin.readline


class Reroot:
    def __init__(self, N, e, merge, f, g):
        self.G = defaultdict(list)
        self.parents = [-1]*(N+1)
        self.dp = defaultdict(lambda: defaultdict(int))
        self.ans = [0]*(N+1)
        self.merge = merge
        self.f = f
        self.g = g
        self.e = e

    def add_edge(self, s, t):
        self.G[s].append(t)

    def build(self):
        self.dfs1(1)
        self.dfs2(1)
        return self.ans

    def dfs1(self, s):
        l = []
        q = [1]
        while q:
            s = q.pop()
            l.append(s)
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                self.parents[t] = s
                q.append(t)

        for s in l[::-1]:
            v = self.e
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                v = self.merge(v, self.f(self.dp[s][t], s, t))
            self.dp[self.parents[s]][s] = self.g(v, self.parents[s], s)

    def dfs2(self, s):
        q = [(s, self.e)]
        while q:
            s, dp_p = q.pop()
            par = self.parents[s]
            for t in self.G[s]:
                if t == par:
                    self.dp[s][t] = dp_p

            size = len(self.G[s])
            ac_l = [self.e] * (size+1)
            ac_r = [self.e] * (size+1)
            for i, t in enumerate(self.G[s]):
                ac_l[i+1] = self.merge(ac_l[i], self.f(self.dp[s][t], s, t))
            for i, t in enumerate(self.G[s][::-1]):
                ac_r[size-i-1] = self.merge(ac_r[size-i], self.f(self.dp[s][t], s, t))
            self.ans[s] = self.g(ac_l[size], -1, 1)
            for i, t in enumerate(self.G[s]):
                if t == par:
                    continue
                q.append((t, self.g(self.merge(ac_l[i], ac_r[i+1]), t, s)))


def solve():
    N = int(input())

    MOD = 10**9+7
    n = N
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    d = defaultdict(list)

    for i in range(1,n+1):
        fac[i] = i*fac[i-1]%MOD
        rev[i] = pow(fac[i], MOD-2, MOD)

    merge1 = lambda x,y:x+y
    f1 = lambda x, par, s:x
    g1 = lambda x, par, s:x+1
    e1 = 0
    tree1 = Reroot(N, e1, merge1, f1, g1)

    merge2 = lambda x,y:(x*y)%MOD
    f2 = lambda x, par, s:(x*rev[tree1.dp[par][s]])%MOD
    g2 = lambda x, par, s:(x*fac[tree1.dp[par][s]-1])%MOD
    e2 = 1
    tree2 = Reroot(N, e2, merge2, f2, g2)

    for _ in range(N-1):
        a, b = map(int, input().split())
        tree2.add_edge(a, b)
        tree2.add_edge(b, a)
        tree1.add_edge(a, b)
        tree1.add_edge(b, a)

    tree1.build()
    ans = tree2.build()

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


if __name__ == "__main__":
    solve()

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
from functools import lru_cache
import sys
input=sys.stdin.readline


class Reroot:
    def __init__(self, N, e, merge, f, g):
        self.G = defaultdict(list)
        self.parents = [-1]*(N+1)
        self.dp = defaultdict(lambda: defaultdict(int))
        self.ans = [0]*(N+1)
        self.merge = merge
        self.f = f
        self.g = g
        self.e = e
        self.N = N

    def add_edge(self, s, t):
        self.G[s].append(t)

    @lru_cache(maxsize=None)
    def tree_size(self, s, par=-1):
        ans = 1
        for t in self.G[s]:
            if t==par:continue
            ans += self.tree_size(t, s)
        return ans

    def build(self):
        self.dfs1(1)
        self.dfs2(1)
        return self.ans

    def dfs1(self, s):
        l = []
        q = [1]
        while q:
            s = q.pop()
            l.append(s)
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                self.parents[t] = s
                q.append(t)

        for s in l[::-1]:
            v = self.e
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                v = self.merge(v, self.f(self.dp[s][t], self.tree_size(t, s)))
            
            self.dp[self.parents[s]][s] = self.g(v, self.tree_size(s, self.parents[s]))

    def dfs2(self, s):
        q = [(s, self.e)]
        while q:
            s, dp_p = q.pop()
            par = self.parents[s]
            for t in self.G[s]:
                if t == par:
                    self.dp[s][t] = dp_p

            size = len(self.G[s])
            ac_l = [self.e] * (size+1)
            ac_r = [self.e] * (size+1)
            for i, t in enumerate(self.G[s]):
                ac_l[i+1] = self.merge(ac_l[i], self.f(self.dp[s][t], self.tree_size(t, s)))
            for i, t in enumerate(self.G[s][::-1]):
                ac_r[size-i-1] = self.merge(ac_r[size-i], self.f(self.dp[s][t], self.tree_size(t, s)))
            self.ans[s] = self.g(ac_l[size], self.N)
            for i, t in enumerate(self.G[s]):
                if t == par:
                    continue
                q.append((t, self.g(self.merge(ac_l[i], ac_r[i+1]), self.N-self.tree_size(t, s))))


def solve():
    N = int(input())

    MOD = 10**9+7
    n = N
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    
    for i in range(1,n+1):
        fac[i] = i*fac[i-1]%MOD
        rev[i] = pow(fac[i], MOD-2, MOD)

    merge = lambda x,y:(x*y)%MOD
    f = lambda x, size:(x*rev[size])%MOD
    g = lambda x, size:(x*fac[size-1])%MOD
    e = 1
    tree = Reroot(N, e, merge, f, g)

    for _ in range(N-1):
        a, b = map(int, input().split())
        tree.add_edge(a, b)
        tree.add_edge(b, a)

    ans = tree.build()
    for i in range(1, N+1):
        print(ans[i])


if __name__ == "__main__":
    solve()


Fixed submission:
from collections import defaultdict
from functools import lru_cache
import sys
input=sys.stdin.readline


class Reroot:
    def __init__(self, N, e, merge, f, g):
        self.G = defaultdict(list)
        self.parents = [-1]*(N+1)
        self.dp = defaultdict(lambda: defaultdict(int))
        self.ans = [0]*(N+1)
        self.merge = merge
        self.f = f
        self.g = g
        self.e = e

    def add_edge(self, s, t):
        self.G[s].append(t)

    def build(self):
        self.dfs1(1)
        self.dfs2(1)
        return self.ans

    def dfs1(self, s):
        l = []
        q = [1]
        while q:
            s = q.pop()
            l.append(s)
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                self.parents[t] = s
                q.append(t)

        for s in l[::-1]:
            v = self.e
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                v = self.merge(v, self.f(self.dp[s][t], s, t))
            self.dp[self.parents[s]][s] = self.g(v, self.parents[s], s)

    def dfs2(self, s):
        q = [(s, self.e)]
        while q:
            s, dp_p = q.pop()
            par = self.parents[s]
            for t in self.G[s]:
                if t == par:
                    self.dp[s][t] = dp_p

            size = len(self.G[s])
            ac_l = [self.e] * (size+1)
            ac_r = [self.e] * (size+1)
            for i, t in enumerate(self.G[s]):
                ac_l[i+1] = self.merge(ac_l[i], self.f(self.dp[s][t], s, t))
            for i, t in enumerate(self.G[s][::-1]):
                ac_r[size-i-1] = self.merge(ac_r[size-i], self.f(self.dp[s][t], s, t))
            self.ans[s] = self.g(ac_l[size], -1, 1)
            for i, t in enumerate(self.G[s]):
                if t == par:
                    continue
                q.append((t, self.g(self.merge(ac_l[i], ac_r[i+1]), t, s)))


def solve():
    N = int(input())

    MOD = 10**9+7
    n = N
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    d = defaultdict(list)

    for i in range(1,n+1):
        fac[i] = i*fac[i-1]%MOD
        rev[i] = pow(fac[i], MOD-2, MOD)

    merge1 = lambda x,y:x+y
    f1 = lambda x, par, s:x
    g1 = lambda x, par, s:x+1
    e1 = 0
    tree1 = Reroot(N, e1, merge1, f1, g1)

    merge2 = lambda x,y:(x*y)%MOD
    f2 = lambda x, par, s:(x*rev[tree1.dp[par][s]])%MOD
    g2 = lambda x, par, s:(x*fac[tree1.dp[par][s]-1])%MOD
    e2 = 1
    tree2 = Reroot(N, e2, merge2, f2, g2)

    for _ in range(N-1):
        a, b = map(int, input().split())
        tree2.add_edge(a, b)
        tree2.add_edge(b, a)
        tree1.add_edge(a, b)
        tree1.add_edge(b, a)

    tree1.build()
    ans = tree2.build()

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


if __name__ == "__main__":
    solve()

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
from functools import lru_cache
import sys
input=sys.stdin.readline


class Reroot:
    def __init__(self, N, e, merge, f, g):
        self.G = defaultdict(list)
        self.parents = [-1]*(N+1)
        self.dp = defaultdict(lambda: defaultdict(int))
        self.ans = [0]*(N+1)
        self.merge = merge
        self.f = f
        self.g = g
        self.e = e
        self.N = N

    def add_edge(self, s, t):
        self.G[s].append(t)

    @lru_cache(maxsize=None)
    def tree_size(self, s, par=-1):
        ans = 1
        for t in self.G[s]:
            if t==par:continue
            ans += self.tree_size(t, s)
        return ans

    def build(self):
        self.dfs1(1)
        self.dfs2(1)
        return self.ans

    def dfs1(self, s):
        l = []
        q = [1]
        while q:
            s = q.pop()
            l.append(s)
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                self.parents[t] = s
                q.append(t)

        for s in l[::-1]:
            v = self.e
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                v = self.merge(v, self.f(self.dp[s][t], self.tree_size(t, s)))
            
            self.tree_size(s, self.parents[s])
            self.dp[self.parents[s]][s] = self.g(v, self.tree_size(s, self.parents[s]))

    def dfs2(self, s):
        q = [(s, self.e)]
        while q:
            s, dp_p = q.pop()
            par = self.parents[s]
            for t in self.G[s]:
                if t == par:
                    self.dp[s][t] = dp_p

            size = len(self.G[s])
            ac_l = [self.e] * (size+1)
            ac_r = [self.e] * (size+1)
            for i, t in enumerate(self.G[s]):
                ac_l[i+1] = self.merge(ac_l[i], self.f(self.dp[s][t], self.tree_size(t, s)))
            for i, t in enumerate(self.G[s][::-1]):
                ac_r[size-i-1] = self.merge(ac_r[size-i], self.f(self.dp[s][t], self.tree_size(t, s)))
            self.ans[s] = self.g(ac_l[size], self.tree_size(s, -1))
            for i, t in enumerate(self.G[s]):
                if t == par:
                    continue
                q.append((t, self.g(self.merge(ac_l[i], ac_r[i+1]), self.N-self.tree_size(t, s))))


def solve():
    N = int(input())

    MOD = 10**9+7
    n = N
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    
    for i in range(1,n+1):
        fac[i] = i*fac[i-1]%MOD
        rev[i] = pow(fac[i], MOD-2, MOD)

    merge = lambda x,y:(x*y)%MOD
    f = lambda x, size:(x*rev[size])%MOD
    g = lambda x, size:(x*fac[size-1])%MOD
    e = 1
    tree = Reroot(N, e, merge, f, g)

    for _ in range(N-1):
        a, b = map(int, input().split())
        tree.add_edge(a, b)
        tree.add_edge(b, a)

    ans = tree.build()
    for i in range(1, N+1):
        print(ans[i])


if __name__ == "__main__":
    solve()


Fixed submission:
from collections import defaultdict
from functools import lru_cache
import sys
input=sys.stdin.readline


class Reroot:
    def __init__(self, N, e, merge, f, g):
        self.G = defaultdict(list)
        self.parents = [-1]*(N+1)
        self.dp = defaultdict(lambda: defaultdict(int))
        self.ans = [0]*(N+1)
        self.merge = merge
        self.f = f
        self.g = g
        self.e = e

    def add_edge(self, s, t):
        self.G[s].append(t)

    def build(self):
        self.dfs1(1)
        self.dfs2(1)
        return self.ans

    def dfs1(self, s):
        l = []
        q = [1]
        while q:
            s = q.pop()
            l.append(s)
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                self.parents[t] = s
                q.append(t)

        for s in l[::-1]:
            v = self.e
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                v = self.merge(v, self.f(self.dp[s][t], s, t))
            self.dp[self.parents[s]][s] = self.g(v, self.parents[s], s)

    def dfs2(self, s):
        q = [(s, self.e)]
        while q:
            s, dp_p = q.pop()
            par = self.parents[s]
            for t in self.G[s]:
                if t == par:
                    self.dp[s][t] = dp_p

            size = len(self.G[s])
            ac_l = [self.e] * (size+1)
            ac_r = [self.e] * (size+1)
            for i, t in enumerate(self.G[s]):
                ac_l[i+1] = self.merge(ac_l[i], self.f(self.dp[s][t], s, t))
            for i, t in enumerate(self.G[s][::-1]):
                ac_r[size-i-1] = self.merge(ac_r[size-i], self.f(self.dp[s][t], s, t))
            self.ans[s] = self.g(ac_l[size], -1, 1)
            for i, t in enumerate(self.G[s]):
                if t == par:
                    continue
                q.append((t, self.g(self.merge(ac_l[i], ac_r[i+1]), t, s)))


def solve():
    N = int(input())

    MOD = 10**9+7
    n = N
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    d = defaultdict(list)

    for i in range(1,n+1):
        fac[i] = i*fac[i-1]%MOD
        rev[i] = pow(fac[i], MOD-2, MOD)

    merge1 = lambda x,y:x+y
    f1 = lambda x, par, s:x
    g1 = lambda x, par, s:x+1
    e1 = 0
    tree1 = Reroot(N, e1, merge1, f1, g1)

    merge2 = lambda x,y:(x*y)%MOD
    f2 = lambda x, par, s:(x*rev[tree1.dp[par][s]])%MOD
    g2 = lambda x, par, s:(x*fac[tree1.dp[par][s]-1])%MOD
    e2 = 1
    tree2 = Reroot(N, e2, merge2, f2, g2)

    for _ in range(N-1):
        a, b = map(int, input().split())
        tree2.add_edge(a, b)
        tree2.add_edge(b, a)
        tree1.add_edge(a, b)
        tree1.add_edge(b, a)

    tree1.build()
    ans = tree2.build()

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


if __name__ == "__main__":
    solve()

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
from functools import lru_cache
import sys
input=sys.stdin.readline


class Reroot:
    def __init__(self, N, e, merge, f, g):
        self.G = defaultdict(list)
        self.parents = [-1]*(N+1)
        self.dp = defaultdict(lambda: defaultdict(int))
        self.ans = [0]*(N+1)
        self.merge = merge
        self.f = f
        self.g = g
        self.e = e

    def add_edge(self, s, t):
        self.G[s].append(t)

    def build(self):
        self.dfs1(1)
        self.dfs2(1)
        return self.ans

    def dfs1(self, s):
        l = []
        q = [1]
        while q:
            s = q.pop()
            l.append(s)
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                self.parents[t] = s
                q.append(t)

        for s in l[::-1]:
            v = self.e
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                v = self.merge(v, self.f(self.dp[s][t], s, t))
            self.dp[self.parents[s]][s] = self.g(v, self.parents[s], s)

    def dfs2(self, s):
        q = [(s, self.e)]
        while q:
            s, dp_p = q.pop()
            par = self.parents[s]
            for t in self.G[s]:
                if t == par:
                    self.dp[s][t] = dp_p

            size = len(self.G[s])
            ac_l = [self.e] * (size+1)
            ac_r = [self.e] * (size+1)
            for i, t in enumerate(self.G[s]):
                ac_l[i+1] = self.merge(ac_l[i], self.f(self.dp[s][t], s, t))
            for i, t in enumerate(self.G[s][::-1]):
                ac_r[size-i-1] = self.merge(ac_r[size-i], self.f(self.dp[s][t], s, t))
            self.ans[s] = self.g(ac_l[size], -1, s)
            for i, t in enumerate(self.G[s]):
                if t == par:
                    continue
                q.append((t, self.g(self.merge(ac_l[i], ac_r[i+1]), t, s)))


def solve():
    N = int(input())

    MOD = 10**9+7
    n = N
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    d = defaultdict(list)
    
    for i in range(1,n+1):
        fac[i] = i*fac[i-1]%MOD
        rev[i] = pow(fac[i], MOD-2, MOD)

    @lru_cache(maxsize=None)
    def tree_size(s, par=-1):
        ans = 1
        for t in d[s]:
            if t==par:continue
            ans += tree_size(t, s)
        return ans

    merge = lambda x,y:(x*y)%MOD
    f = lambda x, par, s:(x*rev[tree_size(s, par)])
    g = lambda x, par, s:(x*fac[tree_size(s, par)-1])%MOD
    e = 1
    tree = Reroot(N, e, merge, f, g)

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

    ans = tree.build()
    for i in range(1, N+1):
        print(ans[i])


if __name__ == "__main__":
    solve()


Fixed submission:
from collections import defaultdict
from functools import lru_cache
import sys
input=sys.stdin.readline


class Reroot:
    def __init__(self, N, e, merge, f, g):
        self.G = defaultdict(list)
        self.parents = [-1]*(N+1)
        self.dp = defaultdict(lambda: defaultdict(int))
        self.ans = [0]*(N+1)
        self.merge = merge
        self.f = f
        self.g = g
        self.e = e

    def add_edge(self, s, t):
        self.G[s].append(t)

    def build(self):
        self.dfs1(1)
        self.dfs2(1)
        return self.ans

    def dfs1(self, s):
        l = []
        q = [1]
        while q:
            s = q.pop()
            l.append(s)
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                self.parents[t] = s
                q.append(t)

        for s in l[::-1]:
            v = self.e
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                v = self.merge(v, self.f(self.dp[s][t], s, t))
            self.dp[self.parents[s]][s] = self.g(v, self.parents[s], s)

    def dfs2(self, s):
        q = [(s, self.e)]
        while q:
            s, dp_p = q.pop()
            par = self.parents[s]
            for t in self.G[s]:
                if t == par:
                    self.dp[s][t] = dp_p

            size = len(self.G[s])
            ac_l = [self.e] * (size+1)
            ac_r = [self.e] * (size+1)
            for i, t in enumerate(self.G[s]):
                ac_l[i+1] = self.merge(ac_l[i], self.f(self.dp[s][t], s, t))
            for i, t in enumerate(self.G[s][::-1]):
                ac_r[size-i-1] = self.merge(ac_r[size-i], self.f(self.dp[s][t], s, t))
            self.ans[s] = self.g(ac_l[size], -1, 1)
            for i, t in enumerate(self.G[s]):
                if t == par:
                    continue
                q.append((t, self.g(self.merge(ac_l[i], ac_r[i+1]), t, s)))


def solve():
    N = int(input())

    MOD = 10**9+7
    n = N
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    d = defaultdict(list)

    for i in range(1,n+1):
        fac[i] = i*fac[i-1]%MOD
        rev[i] = pow(fac[i], MOD-2, MOD)

    merge1 = lambda x,y:x+y
    f1 = lambda x, par, s:x
    g1 = lambda x, par, s:x+1
    e1 = 0
    tree1 = Reroot(N, e1, merge1, f1, g1)

    merge2 = lambda x,y:(x*y)%MOD
    f2 = lambda x, par, s:(x*rev[tree1.dp[par][s]])%MOD
    g2 = lambda x, par, s:(x*fac[tree1.dp[par][s]-1])%MOD
    e2 = 1
    tree2 = Reroot(N, e2, merge2, f2, g2)

    for _ in range(N-1):
        a, b = map(int, input().split())
        tree2.add_edge(a, b)
        tree2.add_edge(b, a)
        tree1.add_edge(a, b)
        tree1.add_edge(b, a)

    tree1.build()
    ans = tree2.build()

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


if __name__ == "__main__":
    solve()

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
from functools import lru_cache
import sys
input=sys.stdin.readline


class Reroot:
    def __init__(self, N, e, merge, f, g):
        self.G = defaultdict(list)
        self.parents = [-1]*(N+1)
        self.dp = defaultdict(lambda: defaultdict(int))
        self.ans = [0]*(N+1)
        self.merge = merge
        self.f = f
        self.g = g
        self.e = e

    def add_edge(self, s, t):
        self.G[s].append(t)

    def build(self):
        self.dfs1(1)
        self.dfs2(1)
        return self.ans

    def dfs1(self, s):
        l = []
        q = [1]
        while q:
            s = q.pop()
            l.append(s)
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                self.parents[t] = s
                q.append(t)

        for s in l[::-1]:
            v = self.e
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                v = self.merge(v, self.f(self.dp[s][t], s, t))
            self.dp[self.parents[s]][s] = self.g(v, self.parents[s], s)

    def dfs2(self, s):
        q = [(s, self.e)]
        while q:
            s, dp_p = q.pop()
            par = self.parents[s]
            for t in self.G[s]:
                if t == par:
                    self.dp[s][t] = dp_p

            size = len(self.G[s])
            ac_l = [self.e] * (size+1)
            ac_r = [self.e] * (size+1)
            for i, t in enumerate(self.G[s]):
                ac_l[i+1] = self.merge(ac_l[i], self.f(self.dp[s][t], s, t))
            for i, t in enumerate(self.G[s][::-1]):
                ac_r[size-i-1] = self.merge(ac_r[size-i], self.f(self.dp[s][t], s, t))
            self.ans[s] = self.g(ac_l[size], -1, s)
            for i, t in enumerate(self.G[s]):
                if t == par:
                    continue
                q.append((t, self.g(self.merge(ac_l[i], ac_r[i+1]), t, s)))


def solve():
    N = int(input())

    MOD = 10**9+7
    n = N
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    d = defaultdict(list)
    
    for i in range(1,n+1):
        fac[i] = i*fac[i-1]%MOD
        rev[i] = pow(fac[i], MOD-2, MOD)

    @lru_cache(maxsize=None)
    def tree_size(s, par=-1):
        ans = 1
        for t in d[s]:
            if t==par:continue
            ans += tree_size(t, s)
        return ans

    merge = lambda x,y:(x*y)%MOD
    f = lambda x, par, s:(x*rev[tree_size(s, par)])%MOD
    g = lambda x, par, s:(x*fac[tree_size(s, par)-1])%MOD
    e = 1
    tree = Reroot(N, e, merge, f, g)

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

    ans = tree.build()
    for i in range(1, N+1):
        print(ans[i])


if __name__ == "__main__":
    solve()


Fixed submission:
from collections import defaultdict
from functools import lru_cache
import sys
input=sys.stdin.readline


class Reroot:
    def __init__(self, N, e, merge, f, g):
        self.G = defaultdict(list)
        self.parents = [-1]*(N+1)
        self.dp = defaultdict(lambda: defaultdict(int))
        self.ans = [0]*(N+1)
        self.merge = merge
        self.f = f
        self.g = g
        self.e = e

    def add_edge(self, s, t):
        self.G[s].append(t)

    def build(self):
        self.dfs1(1)
        self.dfs2(1)
        return self.ans

    def dfs1(self, s):
        l = []
        q = [1]
        while q:
            s = q.pop()
            l.append(s)
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                self.parents[t] = s
                q.append(t)

        for s in l[::-1]:
            v = self.e
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                v = self.merge(v, self.f(self.dp[s][t], s, t))
            self.dp[self.parents[s]][s] = self.g(v, self.parents[s], s)

    def dfs2(self, s):
        q = [(s, self.e)]
        while q:
            s, dp_p = q.pop()
            par = self.parents[s]
            for t in self.G[s]:
                if t == par:
                    self.dp[s][t] = dp_p

            size = len(self.G[s])
            ac_l = [self.e] * (size+1)
            ac_r = [self.e] * (size+1)
            for i, t in enumerate(self.G[s]):
                ac_l[i+1] = self.merge(ac_l[i], self.f(self.dp[s][t], s, t))
            for i, t in enumerate(self.G[s][::-1]):
                ac_r[size-i-1] = self.merge(ac_r[size-i], self.f(self.dp[s][t], s, t))
            self.ans[s] = self.g(ac_l[size], -1, 1)
            for i, t in enumerate(self.G[s]):
                if t == par:
                    continue
                q.append((t, self.g(self.merge(ac_l[i], ac_r[i+1]), t, s)))


def solve():
    N = int(input())

    MOD = 10**9+7
    n = N
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    d = defaultdict(list)

    for i in range(1,n+1):
        fac[i] = i*fac[i-1]%MOD
        rev[i] = pow(fac[i], MOD-2, MOD)

    merge1 = lambda x,y:x+y
    f1 = lambda x, par, s:x
    g1 = lambda x, par, s:x+1
    e1 = 0
    tree1 = Reroot(N, e1, merge1, f1, g1)

    merge2 = lambda x,y:(x*y)%MOD
    f2 = lambda x, par, s:(x*rev[tree1.dp[par][s]])%MOD
    g2 = lambda x, par, s:(x*fac[tree1.dp[par][s]-1])%MOD
    e2 = 1
    tree2 = Reroot(N, e2, merge2, f2, g2)

    for _ in range(N-1):
        a, b = map(int, input().split())
        tree2.add_edge(a, b)
        tree2.add_edge(b, a)
        tree1.add_edge(a, b)
        tree1.add_edge(b, a)

    tree1.build()
    ans = tree2.build()

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


if __name__ == "__main__":
    solve()

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
from functools import lru_cache
import sys
sys.setrecursionlimit(1000000)
input=sys.stdin.readline


N = int(input())
MOD = 10**9+7
n = N
fac = [1]*(n+1)
rev = [1]*(n+1)
 
for i in range(1,n+1):
  fac[i] = i*fac[i-1]%MOD
  rev[i] = pow(fac[i], MOD-2, MOD)

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

@lru_cache(maxsize=None)
def dfs1(s, par=-1):
    ans = 1
    for t in d[s]:
        if t==par:continue
        ans += dfs1(t, s)
    return ans

@lru_cache(maxsize=None)
def dfs2(s, par=-1):
    ans = 1
    l = []
    for t in d[s]:
        if t==par:continue
        ans *= dfs2(t, s)
        ans %= MOD
        l.append(dfs1(t, s))
    
    m = fac[dfs1(s, par)-1]
    v = 1
    for i in l:
        v *= fac[i]
        v %= MOD
    ans *= (m * pow(v, MOD-2, MOD))
    ans %= MOD
    return ans


for i in range(1, N+1):
    dfs1(i)
    print(dfs2(i))


Fixed submission:
from collections import defaultdict
from functools import lru_cache
import sys
input=sys.stdin.readline


class Reroot:
    def __init__(self, N, e, merge, f, g):
        self.G = defaultdict(list)
        self.parents = [-1]*(N+1)
        self.dp = defaultdict(lambda: defaultdict(int))
        self.ans = [0]*(N+1)
        self.merge = merge
        self.f = f
        self.g = g
        self.e = e

    def add_edge(self, s, t):
        self.G[s].append(t)

    def build(self):
        self.dfs1(1)
        self.dfs2(1)
        return self.ans

    def dfs1(self, s):
        l = []
        q = [1]
        while q:
            s = q.pop()
            l.append(s)
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                self.parents[t] = s
                q.append(t)

        for s in l[::-1]:
            v = self.e
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                v = self.merge(v, self.f(self.dp[s][t], s, t))
            self.dp[self.parents[s]][s] = self.g(v, self.parents[s], s)

    def dfs2(self, s):
        q = [(s, self.e)]
        while q:
            s, dp_p = q.pop()
            par = self.parents[s]
            for t in self.G[s]:
                if t == par:
                    self.dp[s][t] = dp_p

            size = len(self.G[s])
            ac_l = [self.e] * (size+1)
            ac_r = [self.e] * (size+1)
            for i, t in enumerate(self.G[s]):
                ac_l[i+1] = self.merge(ac_l[i], self.f(self.dp[s][t], s, t))
            for i, t in enumerate(self.G[s][::-1]):
                ac_r[size-i-1] = self.merge(ac_r[size-i], self.f(self.dp[s][t], s, t))
            self.ans[s] = self.g(ac_l[size], -1, 1)
            for i, t in enumerate(self.G[s]):
                if t == par:
                    continue
                q.append((t, self.g(self.merge(ac_l[i], ac_r[i+1]), t, s)))


def solve():
    N = int(input())

    MOD = 10**9+7
    n = N
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    d = defaultdict(list)

    for i in range(1,n+1):
        fac[i] = i*fac[i-1]%MOD
        rev[i] = pow(fac[i], MOD-2, MOD)

    merge1 = lambda x,y:x+y
    f1 = lambda x, par, s:x
    g1 = lambda x, par, s:x+1
    e1 = 0
    tree1 = Reroot(N, e1, merge1, f1, g1)

    merge2 = lambda x,y:(x*y)%MOD
    f2 = lambda x, par, s:(x*rev[tree1.dp[par][s]])%MOD
    g2 = lambda x, par, s:(x*fac[tree1.dp[par][s]-1])%MOD
    e2 = 1
    tree2 = Reroot(N, e2, merge2, f2, g2)

    for _ in range(N-1):
        a, b = map(int, input().split())
        tree2.add_edge(a, b)
        tree2.add_edge(b, a)
        tree1.add_edge(a, b)
        tree1.add_edge(b, a)

    tree1.build()
    ans = tree2.build()

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


if __name__ == "__main__":
    solve()

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
from functools import lru_cache
import sys
sys.setrecursionlimit(1000000)
input=sys.stdin.readline


N = int(input())
MOD = 10**9+7
n = N
fac = [1]*(n+1)
rev = [1]*(n+1)
 
for i in range(1,n+1):
  fac[i] = i*fac[i-1]%MOD
  rev[i] = pow(fac[i], MOD-2, MOD)

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

size = [0]*(N+1)
dp = [0]*(N+1)

# @lru_cache(maxsize=None)
def dfs1(s, par):
    ans = 1
    for t in d[s]:
        if t==par:continue
        ans += dfs1(t, s)
    size[s] = ans
    return ans

# @lru_cache(maxsize=None)
def dfs2(s, par):
    ans = 1
    l = []
    for t in d[s]:
        if t==par:continue
        ans *= dfs2(t, s)
        ans %= MOD
        l.append(size[t])
    
    m = fac[size[s]-1]
    v = 1
    for i in l:
        v *= fac[i]
        v %= MOD
    ans *= (m * pow(v, MOD-2, MOD))
    ans %= MOD
    dp[s] = ans
    return ans


for i in range(1, N+1):
    dfs1(i, 0)
    dfs2(i, 0)
    print(dp[i])


Fixed submission:
from collections import defaultdict
from functools import lru_cache
import sys
input=sys.stdin.readline


class Reroot:
    def __init__(self, N, e, merge, f, g):
        self.G = defaultdict(list)
        self.parents = [-1]*(N+1)
        self.dp = defaultdict(lambda: defaultdict(int))
        self.ans = [0]*(N+1)
        self.merge = merge
        self.f = f
        self.g = g
        self.e = e

    def add_edge(self, s, t):
        self.G[s].append(t)

    def build(self):
        self.dfs1(1)
        self.dfs2(1)
        return self.ans

    def dfs1(self, s):
        l = []
        q = [1]
        while q:
            s = q.pop()
            l.append(s)
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                self.parents[t] = s
                q.append(t)

        for s in l[::-1]:
            v = self.e
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                v = self.merge(v, self.f(self.dp[s][t], s, t))
            self.dp[self.parents[s]][s] = self.g(v, self.parents[s], s)

    def dfs2(self, s):
        q = [(s, self.e)]
        while q:
            s, dp_p = q.pop()
            par = self.parents[s]
            for t in self.G[s]:
                if t == par:
                    self.dp[s][t] = dp_p

            size = len(self.G[s])
            ac_l = [self.e] * (size+1)
            ac_r = [self.e] * (size+1)
            for i, t in enumerate(self.G[s]):
                ac_l[i+1] = self.merge(ac_l[i], self.f(self.dp[s][t], s, t))
            for i, t in enumerate(self.G[s][::-1]):
                ac_r[size-i-1] = self.merge(ac_r[size-i], self.f(self.dp[s][t], s, t))
            self.ans[s] = self.g(ac_l[size], -1, 1)
            for i, t in enumerate(self.G[s]):
                if t == par:
                    continue
                q.append((t, self.g(self.merge(ac_l[i], ac_r[i+1]), t, s)))


def solve():
    N = int(input())

    MOD = 10**9+7
    n = N
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    d = defaultdict(list)

    for i in range(1,n+1):
        fac[i] = i*fac[i-1]%MOD
        rev[i] = pow(fac[i], MOD-2, MOD)

    merge1 = lambda x,y:x+y
    f1 = lambda x, par, s:x
    g1 = lambda x, par, s:x+1
    e1 = 0
    tree1 = Reroot(N, e1, merge1, f1, g1)

    merge2 = lambda x,y:(x*y)%MOD
    f2 = lambda x, par, s:(x*rev[tree1.dp[par][s]])%MOD
    g2 = lambda x, par, s:(x*fac[tree1.dp[par][s]-1])%MOD
    e2 = 1
    tree2 = Reroot(N, e2, merge2, f2, g2)

    for _ in range(N-1):
        a, b = map(int, input().split())
        tree2.add_edge(a, b)
        tree2.add_edge(b, a)
        tree1.add_edge(a, b)
        tree1.add_edge(b, a)

    tree1.build()
    ans = tree2.build()

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


if __name__ == "__main__":
    solve()

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
from functools import lru_cache
import sys
sys.setrecursionlimit(1000000)
input=sys.stdin.readline


N = int(input())
MOD = 10**9+7
n = N
fac = [1]*(n+1)
rev = [1]*(n+1)
 
for i in range(1,n+1):
  fac[i] = i*fac[i-1]%MOD
  rev[i] = pow(fac[i], MOD-2, MOD)

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

size = [0]*(N+1)
dp = [0]*(N+1)

# @lru_cache(maxsize=None)
def dfs1(s, par):
    ans = 1
    for t in d[s]:
        if t==par:continue
        ans += dfs1(t, s)
    size[s] = ans
    return ans

# @lru_cache(maxsize=None)
def dfs2(s, par):
    ans = 1
    l = []
    for t in d[s]:
        if t==par:continue
        ans *= dfs2(t, s)
        ans %= MOD
        l.append(size[t])
    
    m = fac[size[s]-1]
    v = 1
    for i in l:
        v *= fac[i]
        v %= MOD
    ans *= (m * pow(v, MOD-2, MOD))
    ans %= MOD
    dp[s] = ans
    return ans


for i in range(1, N+1):
    dfs1(i, 0)
    dfs2(i, 0)
    print(dp[i])


Fixed submission:
from collections import defaultdict
from functools import lru_cache
import sys
input=sys.stdin.readline


class Reroot:
    def __init__(self, N, e, merge, f, g):
        self.G = defaultdict(list)
        self.parents = [-1]*(N+1)
        self.dp = defaultdict(lambda: defaultdict(int))
        self.ans = [0]*(N+1)
        self.merge = merge
        self.f = f
        self.g = g
        self.e = e

    def add_edge(self, s, t):
        self.G[s].append(t)

    def build(self):
        self.dfs1(1)
        self.dfs2(1)
        return self.ans

    def dfs1(self, s):
        l = []
        q = [1]
        while q:
            s = q.pop()
            l.append(s)
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                self.parents[t] = s
                q.append(t)

        for s in l[::-1]:
            v = self.e
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                v = self.merge(v, self.f(self.dp[s][t], s, t))
            self.dp[self.parents[s]][s] = self.g(v, self.parents[s], s)

    def dfs2(self, s):
        q = [(s, self.e)]
        while q:
            s, dp_p = q.pop()
            par = self.parents[s]
            for t in self.G[s]:
                if t == par:
                    self.dp[s][t] = dp_p

            size = len(self.G[s])
            ac_l = [self.e] * (size+1)
            ac_r = [self.e] * (size+1)
            for i, t in enumerate(self.G[s]):
                ac_l[i+1] = self.merge(ac_l[i], self.f(self.dp[s][t], s, t))
            for i, t in enumerate(self.G[s][::-1]):
                ac_r[size-i-1] = self.merge(ac_r[size-i], self.f(self.dp[s][t], s, t))
            self.ans[s] = self.g(ac_l[size], -1, 1)
            for i, t in enumerate(self.G[s]):
                if t == par:
                    continue
                q.append((t, self.g(self.merge(ac_l[i], ac_r[i+1]), t, s)))


def solve():
    N = int(input())

    MOD = 10**9+7
    n = N
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    d = defaultdict(list)

    for i in range(1,n+1):
        fac[i] = i*fac[i-1]%MOD
        rev[i] = pow(fac[i], MOD-2, MOD)

    merge1 = lambda x,y:x+y
    f1 = lambda x, par, s:x
    g1 = lambda x, par, s:x+1
    e1 = 0
    tree1 = Reroot(N, e1, merge1, f1, g1)

    merge2 = lambda x,y:(x*y)%MOD
    f2 = lambda x, par, s:(x*rev[tree1.dp[par][s]])%MOD
    g2 = lambda x, par, s:(x*fac[tree1.dp[par][s]-1])%MOD
    e2 = 1
    tree2 = Reroot(N, e2, merge2, f2, g2)

    for _ in range(N-1):
        a, b = map(int, input().split())
        tree2.add_edge(a, b)
        tree2.add_edge(b, a)
        tree1.add_edge(a, b)
        tree1.add_edge(b, a)

    tree1.build()
    ans = tree2.build()

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


if __name__ == "__main__":
    solve()

Buggy python submission (verdict: Runtime Error):
from collections import defaultdict
from functools import lru_cache
import sys
sys.setrecursionlimit(1000000)
input=sys.stdin.readline


N = int(input())
MOD = 10**9+7
n = N
fac = [1]*(n+1)
rev = [1]*(n+1)
 
for i in range(1,n+1):
  fac[i] = i*fac[i-1]%MOD
  rev[i] = pow(fac[i], MOD-2, MOD)

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

size = [0]*(N+1)
dp = [0]*(N+1)

@lru_cache(maxsize=None)
def dfs1(s, par):
    ans = 1
    for t in d[s]:
        if t==par:continue
        ans += dfs1(t, s)
    size[s] = ans
    return ans

@lru_cache(maxsize=None)
def dfs2(s, par):
    ans = 1
    l = []
    for t in d[s]:
        if t==par:continue
        ans *= dfs2(t, s)
        ans %= MOD
        l.append(size[t])
    
    m = fac[sum(l)]
    v = 1
    for i in l:
        v *= fac[i]
        v %= MOD
    ans *= (m * pow(v, MOD-2, MOD))
    ans %= MOD
    dp[s] = ans
    return ans


for i in range(1, N+1):
    dfs1(i, 0)
    dfs2(i, 0)
    print(dp[i])


Fixed submission:
from collections import defaultdict
from functools import lru_cache
import sys
input=sys.stdin.readline


class Reroot:
    def __init__(self, N, e, merge, f, g):
        self.G = defaultdict(list)
        self.parents = [-1]*(N+1)
        self.dp = defaultdict(lambda: defaultdict(int))
        self.ans = [0]*(N+1)
        self.merge = merge
        self.f = f
        self.g = g
        self.e = e

    def add_edge(self, s, t):
        self.G[s].append(t)

    def build(self):
        self.dfs1(1)
        self.dfs2(1)
        return self.ans

    def dfs1(self, s):
        l = []
        q = [1]
        while q:
            s = q.pop()
            l.append(s)
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                self.parents[t] = s
                q.append(t)

        for s in l[::-1]:
            v = self.e
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                v = self.merge(v, self.f(self.dp[s][t], s, t))
            self.dp[self.parents[s]][s] = self.g(v, self.parents[s], s)

    def dfs2(self, s):
        q = [(s, self.e)]
        while q:
            s, dp_p = q.pop()
            par = self.parents[s]
            for t in self.G[s]:
                if t == par:
                    self.dp[s][t] = dp_p

            size = len(self.G[s])
            ac_l = [self.e] * (size+1)
            ac_r = [self.e] * (size+1)
            for i, t in enumerate(self.G[s]):
                ac_l[i+1] = self.merge(ac_l[i], self.f(self.dp[s][t], s, t))
            for i, t in enumerate(self.G[s][::-1]):
                ac_r[size-i-1] = self.merge(ac_r[size-i], self.f(self.dp[s][t], s, t))
            self.ans[s] = self.g(ac_l[size], -1, 1)
            for i, t in enumerate(self.G[s]):
                if t == par:
                    continue
                q.append((t, self.g(self.merge(ac_l[i], ac_r[i+1]), t, s)))


def solve():
    N = int(input())

    MOD = 10**9+7
    n = N
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    d = defaultdict(list)

    for i in range(1,n+1):
        fac[i] = i*fac[i-1]%MOD
        rev[i] = pow(fac[i], MOD-2, MOD)

    merge1 = lambda x,y:x+y
    f1 = lambda x, par, s:x
    g1 = lambda x, par, s:x+1
    e1 = 0
    tree1 = Reroot(N, e1, merge1, f1, g1)

    merge2 = lambda x,y:(x*y)%MOD
    f2 = lambda x, par, s:(x*rev[tree1.dp[par][s]])%MOD
    g2 = lambda x, par, s:(x*fac[tree1.dp[par][s]-1])%MOD
    e2 = 1
    tree2 = Reroot(N, e2, merge2, f2, g2)

    for _ in range(N-1):
        a, b = map(int, input().split())
        tree2.add_edge(a, b)
        tree2.add_edge(b, a)
        tree1.add_edge(a, b)
        tree1.add_edge(b, a)

    tree1.build()
    ans = tree2.build()

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


if __name__ == "__main__":
    solve()

Buggy python submission (verdict: Runtime Error):
from collections import defaultdict

N = int(input())

MOD = 10**9+7
n = N
fac = [1]*(n+1)
rev = [1]*(n+1)
 
for i in range(1,n+1):
  fac[i] = i*fac[i-1]%MOD
  rev[i] = pow(fac[i], MOD-2, MOD)

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

size = [0]*(N+1)
dp = [0]*(N+1)

def dfs1(s, par):
    ans = 1
    for t in d[s]:
        if t==par:continue
        ans += dfs1(t, s)
    size[s] = ans
    return ans

def dfs2(s, par):
    ans = 1
    l = []
    for t in d[s]:
        if t==par:continue
        ans *= dfs2(t, s)
        ans %= MOD
        l.append(size[t])
    
    m = fac[sum(l)]
    v = 1
    for i in l:
        v *= fac[i]
        v %= MOD
    ans *= (m * pow(v, MOD-2, MOD))
    ans %= MOD
    dp[s] = ans
    return ans


for i in range(1, N+1):
    dfs1(i, 0)
    dfs2(i, 0)
    print(dp[i])


Fixed submission:
from collections import defaultdict
from functools import lru_cache
import sys
input=sys.stdin.readline


class Reroot:
    def __init__(self, N, e, merge, f, g):
        self.G = defaultdict(list)
        self.parents = [-1]*(N+1)
        self.dp = defaultdict(lambda: defaultdict(int))
        self.ans = [0]*(N+1)
        self.merge = merge
        self.f = f
        self.g = g
        self.e = e

    def add_edge(self, s, t):
        self.G[s].append(t)

    def build(self):
        self.dfs1(1)
        self.dfs2(1)
        return self.ans

    def dfs1(self, s):
        l = []
        q = [1]
        while q:
            s = q.pop()
            l.append(s)
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                self.parents[t] = s
                q.append(t)

        for s in l[::-1]:
            v = self.e
            for t in self.G[s]:
                if t == self.parents[s]:
                    continue
                v = self.merge(v, self.f(self.dp[s][t], s, t))
            self.dp[self.parents[s]][s] = self.g(v, self.parents[s], s)

    def dfs2(self, s):
        q = [(s, self.e)]
        while q:
            s, dp_p = q.pop()
            par = self.parents[s]
            for t in self.G[s]:
                if t == par:
                    self.dp[s][t] = dp_p

            size = len(self.G[s])
            ac_l = [self.e] * (size+1)
            ac_r = [self.e] * (size+1)
            for i, t in enumerate(self.G[s]):
                ac_l[i+1] = self.merge(ac_l[i], self.f(self.dp[s][t], s, t))
            for i, t in enumerate(self.G[s][::-1]):
                ac_r[size-i-1] = self.merge(ac_r[size-i], self.f(self.dp[s][t], s, t))
            self.ans[s] = self.g(ac_l[size], -1, 1)
            for i, t in enumerate(self.G[s]):
                if t == par:
                    continue
                q.append((t, self.g(self.merge(ac_l[i], ac_r[i+1]), t, s)))


def solve():
    N = int(input())

    MOD = 10**9+7
    n = N
    fac = [1]*(n+1)
    rev = [1]*(n+1)
    d = defaultdict(list)

    for i in range(1,n+1):
        fac[i] = i*fac[i-1]%MOD
        rev[i] = pow(fac[i], MOD-2, MOD)

    merge1 = lambda x,y:x+y
    f1 = lambda x, par, s:x
    g1 = lambda x, par, s:x+1
    e1 = 0
    tree1 = Reroot(N, e1, merge1, f1, g1)

    merge2 = lambda x,y:(x*y)%MOD
    f2 = lambda x, par, s:(x*rev[tree1.dp[par][s]])%MOD
    g2 = lambda x, par, s:(x*fac[tree1.dp[par][s]-1])%MOD
    e2 = 1
    tree2 = Reroot(N, e2, merge2, f2, g2)

    for _ in range(N-1):
        a, b = map(int, input().split())
        tree2.add_edge(a, b)
        tree2.add_edge(b, a)
        tree1.add_edge(a, b)
        tree1.add_edge(b, a)

    tree1.build()
    ans = tree2.build()

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


if __name__ == "__main__":
    solve()