#include <cassert>
#include <algorithm>
#include <array>
#include <bitset>
#include <cctype>
#include <cstdint>
#include <cmath>
#include <complex>
#include <chrono>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <vector>
#include <random>
#include <memory>
#include <utility>
#include <limits>

/* template start */
 
#define rep(i, a, b) for (long long i = (a); (i) < (b); (i)++)
#define all(i) i.begin(), i.end()
#define debug(...) std::cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)

void debug_out(){std::cerr<<std::endl;}

template<typename Head,typename... Tail>
void debug_out(Head h,Tail... t){
  std::cerr<<" "<<h<<":";
  debug_out(t...);
}
 
template <typename T1, typename T2>
std::ostream& operator<<(std::ostream& os, std::pair<T1, T2> pa) {
  return os << pa.first << " " << pa.second;
}
 
template <typename T>
std::ostream& operator<<(std::ostream& os, std::vector<T> vec) {
  for (std::size_t i = 0; i < vec.size(); i++)os << vec[i] << (i + 1 == vec.size() ? "" : " ");
  return os;
}
 
template<typename T1,typename T2>
inline bool chmax(T1& a,T2 b){return a<b && (a=b,true);}
 
template<typename T1,typename T2>
inline bool chmin(T1& a,T2 b){return a>b && (a=b,true);}
 
long long pow_mod(long long a, long long b, long long mod=-1) {
  if(b==0)return 1;
  if ((a == 0)||(mod!=-1&&(a+mod)%mod==0))return 0;
  long long x = 1;
  while (b > 0) {
    if (b & 1)x = (mod!=-1)?(x * a) % mod:x*a;
    a = (mod!=-1)?(a * a) % mod:a*a;
    b >>= 1;
  }
  return x;
}

template <std::uint_fast64_t Modulus> class modint {
  using u64 = std::uint_fast64_t;

public:
  u64 a;

  constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {}
  constexpr u64 &value() noexcept { return a; }
  constexpr const u64 &value() const noexcept { return a; }
  constexpr modint operator+(const modint rhs) const noexcept {
    return modint(*this) += rhs;
  }
  constexpr modint operator-(const modint rhs) const noexcept {
    return modint(*this) -= rhs;
  }
  constexpr modint operator*(const modint rhs) const noexcept {
    return modint(*this) *= rhs;
  }
  constexpr modint operator/(const modint rhs) const noexcept {
    return modint(*this) /= rhs;
  }
  constexpr modint &operator+=(const modint rhs) noexcept {
    a += rhs.a;
    if (a >= Modulus) {
      a -= Modulus;
    }
    return *this;
  }
  constexpr modint &operator-=(const modint rhs) noexcept {
    if (a < rhs.a) {
      a += Modulus;
    }
    a -= rhs.a;
    return *this;
  }
  constexpr modint &operator*=(const modint rhs) noexcept {
    a = a * rhs.a % Modulus;
    return *this;
  }
  constexpr modint &operator/=(modint rhs) noexcept {
    u64 exp = Modulus - 2;
    while (exp) {
      if (exp % 2) {
        *this *= rhs;
      }
      rhs *= rhs;
      exp /= 2;
    }
    return *this;
  }
};

/* template end */

using ll = long long;
using P=std::pair<long long,long long>;

int main() {
  std::cin.tie(nullptr);
  std::ios::sync_with_stdio(false);

  ll n,m;
  std::cin>>n>>m;

  std::vector<std::vector<ll>> graph(n);
  rep(i,0,n-1){
    ll a,b;
    std::cin>>a>>b;
    a--;b--;
    graph[a].push_back(b);
    graph[b].push_back(a);
  }

  std::vector<ll> dp(n);

  auto dfs1=[&](auto f,ll now,ll par)->void{
    dp[now]=1;
    for(auto itr=graph[now].begin();itr!=graph[now].end();){
      if(*itr==par){
        itr=graph[now].erase(itr);
        continue;
      }
      f(f,*itr,now);
      dp[now]*=(1+dp[*itr]);
      dp[now]%=m;
      itr++;
    }
  };

  dfs1(dfs1,0,-1);

  std::vector<ll> ans(n);

  auto dfs2=[&](auto f,ll now,ll d)->void{
    ans[now]=1+d;
    ll sz=graph[now].size();
    std::vector<ll> left(sz+1,1),right(sz+1,1);
    rep(i,0,sz){
      left[i+1]=(left[i]*(1+dp[graph[now][i]]))%m;
    }
    for(ll i=sz-1;i>=0;i--){
      right[i]=(right[i+1]*(1+dp[graph[now][i]]))%m;
    }
    ans[now]*=left[sz];
    ans[now]%=m;

    rep(i,0,sz){
      f(f,graph[now][i],((1+d)*left[i]%m)*right[i+1]%m);
    }
  };

  dfs2(dfs2,0,0);

  rep(i,0,n)std::cout<<ans[i]<<"\n";


  return 0;
}

Measured memory_bytes: 21888