Language: C++

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define mp make_pair
#define pb push_back
#define rep(i,n) for(int i=0;i<n;i++)
#define rep1(i,n) for(int i=1;i<=(int)(n);i++)
const int mod = 1e9+7;
template< int mod >
struct ModInt {
  int x;

  ModInt() : x(0) {}

  ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

  ModInt &operator+=(const ModInt &p) {
    if((x += p.x) >= mod) x -= mod;
    return *this;
  }

  ModInt &operator-=(const ModInt &p) {
    if((x += mod - p.x) >= mod) x -= mod;
    return *this;
  }

  ModInt &operator*=(const ModInt &p) {
    x = (int) (1LL * x * p.x % mod);
    return *this;
  }

  ModInt &operator/=(const ModInt &p) {
    *this *= p.inverse();
    return *this;
  }

  ModInt operator-() const { return ModInt(-x); }

  ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }

  ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }

  ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }

  ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }

  bool operator==(const ModInt &p) const { return x == p.x; }

  bool operator!=(const ModInt &p) const { return x != p.x; }

  ModInt inverse() const {
    int a = x, b = mod, u = 1, v = 0, t;
    while(b > 0) {
      t = a / b;
      swap(a -= t * b, b);
      swap(u -= t * v, v);
    }
    return ModInt(u);
  }

  ModInt pow(int64_t n) const {
    ModInt ret(1), mul(x);
    while(n > 0) {
      if(n & 1) ret *= mul;
      mul *= mul;
      n >>= 1;
    }
    return ret;
  }

  friend ostream &operator<<(ostream &os, const ModInt &p) {
    return os << p.x;
  }

  friend istream &operator>>(istream &is, ModInt &a) {
    int64_t t;
    is >> t;
    a = ModInt< mod >(t);
    return (is);
  }

  static int get_mod() { return mod; }
};

using mint = ModInt< mod >;


const int n_max = 100 + 2e5;
pair<int,mint> dp[n_max];
vector<int> g[n_max];
mint fact[n_max];
mint inv[n_max];

void dfs1(int cv, int p){
  dp[cv] = {1,1};
  int tot = 0;
  mint kei = 1;
  for(auto i:g[cv]){
    if(i==p) continue;
    dfs1(i,cv);
    tot += dp[i].first;
    kei *= dp[i].second;
    kei *= fact[tot]*inv[tot-dp[i].first]*inv[dp[i].first];
  }
  tot++;
  dp[cv] = {tot, kei};
}
int n;
mint ans[n_max];
void dfs2(int cv, int p){
  ans[cv] = 1;
  mint kei = 1;
  int tot = 0;
  for(auto i:g[cv]){
    tot += dp[i].first;
    kei *= dp[i].second;
    kei *= fact[tot]*inv[tot-dp[i].first]*inv[dp[i].first];
  }
  
  ans[cv] = kei;
  tot = n;

  for(auto i:g[cv]){
    if(i==p) continue;
    //dp書き換え
    mint nkei = kei;
    tot -= dp[i].first;
    nkei /= dp[i].second;
    nkei *= fact[n-1-dp[i].first]*fact[dp[i].first]*inv[n-1];
    dp[cv] = {tot,nkei};
    dfs2(i,cv);
    //dp元に戻す
    tot += dp[i].first;
    dp[cv] = {tot,kei};
  }

}

int main(){
  ios::sync_with_stdio(false);
  cin.tie(0);
  cin >> n;
  rep(i,n-1){
    int a,b;
    cin >> a >> b;
    --a;--b;
    g[a].pb(b);
    g[b].pb(a);
  }
  fact[0]=1;
  rep1(i,nmax-1) fact[i] = fact[i-1]*i;
  rep(i,nmax) inv[i] = ((mint) 1)/fact[i];
  dfs1(0,-1);
  //  rep(i,n) cout << dp[i].first << " " << dp[i].second << endl;
  dfs2(0,-1);
  rep(i,n){
    cout << ans[i] << endl;
      
  }

  
  return 0;
    

}


Compiler output:
a.cc: In function 'int main()':
a.cc:151:10: error: 'nmax' was not declared in this scope; did you mean 'n_max'?
  151 |   rep1(i,nmax-1) fact[i] = fact[i-1]*i;
      |          ^~~~
a.cc:7:40: note: in definition of macro 'rep1'
    7 | #define rep1(i,n) for(int i=1;i<=(int)(n);i++)
      |                                        ^
a.cc:152:9: error: 'nmax' was not declared in this scope; did you mean 'n_max'?
  152 |   rep(i,nmax) inv[i] = ((mint) 1)/fact[i];
      |         ^~~~
a.cc:6:32: note: in definition of macro 'rep'
    6 | #define rep(i,n) for(int i=0;i<n;i++)
      |                                ^