#pragma region Tmpl
#include <bits/stdc++.h>  // clang-format off
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
#define each(x,v) for(auto& x : v)
#define all(v) (v).begin(),(v).end()
#define sz(v) ((int)(v).size())
#define ini(...) int __VA_ARGS__; in(__VA_ARGS__)
#define inl(...) long long __VA_ARGS__; in(__VA_ARGS__)
#define ins(...) string __VA_ARGS__; in(__VA_ARGS__)
#define inc(...) char __VA_ARGS__; in(__VA_ARGS__)
#define in2(s,t)     rep(i,sz(s)){in(s[i] , t[i]);}
#define in3(s,t,u)   rep(i,sz(s)){in(s[i] , t[i] , u[i]);}
#define in4(s,t,u,v) rep(i,sz(s)){in(s[i] , t[i] , u[i] , v[i]);}
#ifdef ONLINE_JUDGE
  #define rep(i,N) for(int i = 0; i < (int)(N); i++)
  #define repr(i,N) for(int i = (int)(N) - 1; i >= 0; i--)
  #define rep1(i,N) for(int i = 1; i <= (int)(N) ; i++)
  #define repr1(i,N) for(int i = (N) ; (int)(i) > 0 ; i--)
#else
  #define rep(i,N) for(long long i = 0; i < (long long)(N); i++)
  #define repr(i,N) for(long long i = (long long)(N) - 1; i >= 0; i--)
  #define rep1(i,N) for(long long i = 1; i <= (long long)(N) ; i++)
  #define repr1(i,N) for(long long i = (N) ; (long long)(i) > 0 ; i--)
#endif
using namespace std; void solve();
using ll = long long; template<class T = ll> using V = vector<T>;
using vi = V<int>; using vl = V<>; using vvi = V< V<int> >;
using vd = V<double>; using vs = V<string>; using vvl = V< V<> >;
constexpr int inf = 1001001001; constexpr ll infLL = (1LL << 61) - 1;
template<typename T, typename U> inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; }
template<typename T, typename U> inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; }
template<typename T,typename U>ll ceil(T a,U b){return (a + b - 1) / b;}
template<typename T, typename U> ostream& operator <<(ostream& os, const pair<T, U> &p) { os << p.first << " " << p.second; return os; }
template<typename T, typename U> istream& operator >>(istream& is, pair<T, U> &p) { is >> p.first >> p.second; return is; }
template<typename T> ostream& operator <<(ostream& os, const vector<T> &v) { int s = (int)v.size(); for(int i=0;i<s;i++) os << (i ? " " : "") << v[i]; return os; }
template<typename T> istream& operator >>(istream& is, vector<T> &v) { for(auto &x : v) is >> x; return is; }
void in(){} template <typename T,class... U> void in(T &t,U &...u){ cin >> t; in(u...);}
void out(){cout << "\n";} template <typename T,class... U> void out(const T &t,const U &...u){ cout << t; if(sizeof...(u)) cout << " "; out(u...);}
template<typename T>void die(T x){out(x); exit(0);}

#ifdef NyaanDebug
  #include "NyaanDebug.h"
  #define trc(...) do { cerr << #__VA_ARGS__ << " = "; dbg_out(__VA_ARGS__);} while(0)
  #define trca(v,N) do { cerr << #v << " = "; array_out(v , N);} while(0)
  #define trcc(v) do { cerr << "name : " << #v << "\n"; int cnt = 0; each(x , v){cerr << (cnt++) << " : "; trc(x); } } while(0)
#else
  #define trc(...)
  #define trca(...)
  #define trcc(...)
  int main(){solve();}
#endif
constexpr ll TEN(int n){ll ret=1,x=10;while(n){if(n&1)ret*=x;x*=x;n>>=1;}return ret;}
#define mem(a, val) memset(a, val, sizeof(a))
#pragma endregion

struct IoSetupNya {IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7);} } iosetupnya;
using P = pair<int,int>; using vp = V<P>;
constexpr int MOD = /**/ 1000000007; //*/ 998244353;
// clang-format on

////////////////////////////////////////////////////

template <typename T>
struct edge {
  int src, to;
  T cost;

  edge(int to, T cost) : src(-1), to(to), cost(cost) {}
  edge(int src, int to, T cost) : src(src), to(to), cost(cost) {}

  edge &operator=(const int &x) {
    to = x;
    return *this;
  }

  operator int() const { return to; }
};
template <typename T>
using Edges = vector<edge<T> >;
template <typename T>
using WeightedGraph = vector<Edges<T> >;
using UnweightedGraph = vector<vector<int> >;

// Input of (Unweighted) Graph
UnweightedGraph graph(int N, int M = -1, bool is_directed = false,
                      bool is_1origin = true) {
  UnweightedGraph g(N);
  if (M == -1) M = N - 1;
  for (int _ = 0; _ < M; _++) {
    int x, y;
    cin >> x >> y;
    if (is_1origin) x--, y--;
    g[x].pb(y);
    if (!is_directed) g[y].pb(x);
  }
  return g;
}

// Input of Weighted Graph
template <typename T>
WeightedGraph<T> wgraph(int N, int M = -1, bool is_directed = false,
                        bool is_1origin = true) {
  WeightedGraph<T> g(N);
  if (M == -1) M = N - 1;
  for (int _ = 0; _ < M; _++) {
    int x, y;
    cin >> x >> y;
    T c;
    cin >> c;
    if (is_1origin) x--, y--;
    g[x].eb(x, y, c);
    if (!is_directed) g[y].eb(y, x, c);
  }
  return g;
}

// Depth of Rooted Tree
// unvisited nodes : d = -1
vector<int> Depth(UnweightedGraph &g, int start = 0) {
  vector<int> d(g.size(), -1);
  auto dfs = [&](auto rec, int cur, int par = -1) -> void {
    d[cur] = par == -1 ? 0 : d[par] + 1;
    each(dst, g[cur]) {
      if (dst == par) continue;
      rec(rec, dst, cur);
    }
  };
  dfs(dfs, start);
  return d;
}

// Diameter of Tree
pair<int, int> Diameter(UnweightedGraph &g, int start = 0) {
  auto d = Depth(g, start);
  int u = max_element(begin(d), end(d)) - begin(d);
  d = Depth(g, u);
  int v = max_element(begin(d), end(d)) - begin(d);
  return make_pair(u, v);
}



// Rerooting
// f1(c1, c2) ... merge value of child node
// f2(memo[i] , i) ... return value to parent node
// memo[i] ... result of subtree rooted i
// dp[i] ... result of tree rooted i

template <typename T, typename G, typename F1, typename F2>
struct Rerooting {
  const G &g;
  const F1 f1;
  const F2 f2;
  vector<T> memo, dp;
  T I;

  Rerooting(const G &g, const F1 f1, const F2 f2, const T &I)
      : g(g), f1(f1), f2(f2), memo(g.size(), I), dp(g.size(), I), I(I) {
    dfs(0, -1);
    efs(0, -1, I);
  }

  const T &operator[](int i) const { return dp[i]; }

  void dfs(int cur, int par) {
    for (auto &dst : g[cur]) {
      if (dst == par) continue;
      dfs(dst, cur);
      memo[cur] = f1(memo[cur], f2(memo[dst], dst));
    }
  }

  void efs(int cur, int par, const T &pval) {
    // get cumulative sum
    vector<T> buf;
    for (auto dst : g[cur]) {
      if (dst == par) continue;
      buf.push_back(f2(memo[dst], dst));
    }
    vector<T> head(buf.size() + 1), tail(buf.size() + 1);
    head[0] = tail[buf.size()] = I;
    for (int i = 0; i < (int)buf.size(); i++) head[i + 1] = f1(head[i], buf[i]);
    for (int i = (int)buf.size() - 1; i >= 0; i--)
      tail[i] = f1(tail[i + 1], buf[i]);

    // update
    dp[cur] = par == -1 ? head.back() : f1(pval, head.back());

    // propagate
    int idx = 0;
    for (auto &dst : g[cur]) {
      if (dst == par) continue;
      efs(dst, cur, f2(f1(pval, f1(head[idx], tail[idx + 1])), cur));
      idx++;
    }
  }
};

/*

using T = ;
T I = ;
// merge value of child node
auto f1 = [&](T x, T y) -> T {

};
// return value to parent node
auto f2 = [&](T x, int i) -> T {

};
Rerooting<T, decltype(g), decltype(f1), decltype(f2)> dp(g, f1, f2, I);

*/

struct ArbitraryModInt {

  int x;

  ArbitraryModInt() : x(0) {}

  ArbitraryModInt(int64_t y) : x(y >= 0 ? y % get_mod() : (get_mod() - (-y) % get_mod()) % get_mod()) {}

  static int &get_mod() {
    static int mod = 0;
    return mod;
  }

  static void set_mod(int md) {
    get_mod() = md;
  }

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

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

  ArbitraryModInt &operator*=(const ArbitraryModInt &p) {
    unsigned long long a = (unsigned long long) x * p.x;
    unsigned xh = (unsigned) (a >> 32), xl = (unsigned) a, d, m;
    asm("divl %4; \n\t" : "=a" (d), "=d" (m) : "d" (xh), "a" (xl), "r" (get_mod()));
    x = m;
    return *this;
  }

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

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

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

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

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

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

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

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

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

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

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

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

void solve() {
  ini(N , M);
  auto g = graph(N);
  ArbitraryModInt::set_mod(M);

  // \pi (chd + 1) が答え
  using T = ArbitraryModInt;
  T I = 1;
  // merge value of child node
  auto f1 = [&](T x, T y) -> T {
    return x * y;
  };
  // return value to parent node
  auto f2 = [&](T x, int i) -> T {
    return x + 1;
  };
  Rerooting<T, decltype(g), decltype(f1), decltype(f2)> dp(g, f1, f2, I);
  trc(dp.memo);
  trc(dp.dp);
  rep(i,N) out(dp[i]);

}

Measured memory_bytes: 24448