#pragma GCC optimize("Ofast")
#pragma GCC target ("avx")
#pragma GCC optimize("unroll-loops")

#include <stdio.h>
#include <utility>

// 入力
constexpr unsigned int MAX_INPUT_SIZE = 3'000'000; //'
char Input[MAX_INPUT_SIZE];
char* input = Input;

inline unsigned int get(void){
    unsigned int res = 0; char c;
    while((c = *(input++) - '0') >= 0) res = 10 * res + c;
    return res;
}
// 出力
constexpr unsigned int MAX_OUTPUT_SIZE = 3'000'000; //'
char Output[MAX_INPUT_SIZE];
char* output = Output;

constexpr unsigned int digit_len = 1;
constexpr unsigned int MAX_D_SIZE = 10;
struct NoName{
    char S[MAX_D_SIZE][digit_len + 1];
    char T[MAX_D_SIZE][digit_len + 1];
    constexpr NoName(void):S(), T(){
        for(unsigned int i = 0; i < MAX_D_SIZE; ++i){
            unsigned int t = i;
            char* ptr = S[i];
            while(t){ *(ptr++) = '0' ^ (t % 10); t /= 10; }
            for(unsigned int j = 0; j < digit_len; ++j){
                T[i][j] = S[i][j] ? S[i][j] : '0';
            }
        }
    }
};
constexpr NoName Da;

inline void writeBuffer(unsigned long long int n){
    if(!n) *(output++) = '0';
    else{
        char* ptr = output;
        while(n){
            if(n < MAX_D_SIZE){
                const char* ttt = Da.S[n]; n = 0;
                while(*ttt) *(ptr++) = *(ttt++);
            }
            else{
                const char* ttt = Da.T[n % MAX_D_SIZE]; n /= MAX_D_SIZE; 
                while(*ttt) *(ptr++) = *(ttt++);
            }
        }
        char* ptr2 = output; output = (ptr--);
        while(ptr2 < ptr) std::swap(*(ptr2++), *(ptr--));
    }
    *(output++) = '\n';
}

inline void out(void){
    fwrite_unlocked(Output, sizeof(char), output - Output, stdout);
}

// 制約
constexpr unsigned int MAX_N = 200'000; //'
constexpr unsigned int mod = 1'000'000'007; //'

// 階乗計算
template <const unsigned int M> struct shuumai {
public:
    unsigned long long int P[M + 1];
    unsigned long long int Inv[M + 1];
    unsigned long long int inv[M + 1];
    constexpr shuumai(void):P(), Inv(), inv(){
        P[0] = 1; P[1] = 1;
        for(unsigned int x = 1, y = 2; x < M; ++x, ++y) P[y] = (P[x] * y) % mod;
        Inv[M] = inverse(P[M]);
        for(unsigned int x = M, y = M - 1; x ; --x, --y){
            Inv[y] = (Inv[x] * x) % mod;
            inv[x] = (P[y] * Inv[x]) % mod;
        }
        inv[0] = 1;
    }
    constexpr unsigned int inverse(unsigned int a) const noexcept {
        unsigned int b = mod;
                 int u = 1, v = 0;
        while (b) {
            unsigned int t = a / b; 
            a -= t * b; { const unsigned int tmp = a; a = b; b = tmp; }
            u -= t * v; { const unsigned int tmp = u; u = v; v = tmp; }
        }
        if(u < 0) u += mod;
        return u;
    }
};
constexpr shuumai<MAX_N> karashi;

// リスト
struct Node{
    unsigned int vertex;
    unsigned int next;
};
Node node[2 * MAX_N];
unsigned int begin[MAX_N];
unsigned int end = 1;
inline void append(const unsigned int u, const unsigned v){
    node[end] = {v, begin[u]}; begin[u] = end++;
    node[end] = {u, begin[v]}; begin[v] = end++;
}

// 擬似stack
unsigned int Stack[MAX_N];
unsigned int index_stack = 0;

inline void push(const unsigned int value){ Stack[index_stack++] = value; }
inline unsigned int top(void){ return Stack[--index_stack];}
inline bool exist(void){ return index_stack; }

// 
bool visited[MAX_N];
unsigned int parent[MAX_N];
unsigned int order[MAX_N];
unsigned int index_order = 0;

unsigned int subTree[MAX_N];
unsigned long long int dp[MAX_N];

int main(void){
    fread_unlocked(Input, sizeof(char), MAX_INPUT_SIZE, stdin);
    const unsigned int n = get();
    for(unsigned int _ = 1; _ < n; ++_) append(get() - 1, get() - 1);

    // DFSの順序決め
    push(0); visited[0] = true; order[index_order++] = 0;
    while(exist()){
        const unsigned int v = top();
        for(unsigned int idx = begin[v]; idx ; idx = node[idx].next){
            const unsigned int nv = node[idx].vertex;
            if(not visited[nv]){ 
                visited[nv] = true; parent[nv] = v; 
                order[index_order++] = nv; push(nv);  
            }
        }
    }

    for(unsigned int i = 0; i < n; ++i) dp[i] = 1;
    // 根からボトムアップにdp値を計算
    for(unsigned int i = n - 1; i ; --i){
        const unsigned int v = order[i];
        const unsigned int nv = parent[v];
        dp[v] = dp[v] * karashi.P[subTree[v]++] % mod;
        dp[nv] = dp[nv] * (dp[v] * karashi.Inv[subTree[v]] % mod) % mod;
        subTree[nv] += subTree[v];
    }

    {
        dp[0] = dp[0] * karashi.P[subTree[0]++] % mod;
    }


    for(unsigned int i = 1; i < n; ++i){
        const unsigned int v = order[i];
        const unsigned int nv = parent[v];
        dp[v] = dp[nv] * (subTree[v] * karashi.inv[n - subTree[v]] % mod) % mod;
    }

    // 出力
    for(unsigned int i = 0; i < n; ++i) writeBuffer(dp[i]);
    out();
    return 0;
}

Measured memory_bytes: 16896