#include<iostream>
#include<string>
#include<vector>
#include<algorithm>
#include<map>
#include<set>
#include<cstdio>
#include<cmath>
#include<deque>
#include<numeric>
#include<queue>
#include<stack>
#include<cstring>
#include<limits>
#include<functional>
#include<unordered_set>
#include<iomanip>
#include<cassert>
#include<regex>
#include<bitset>
#include<complex>
#include<chrono>
#include<random>
#define rep(i,a) for(int i=(int)0;i<(int)a;++i)
#define pb push_back
#define eb emplace_back
#define all(x) x.begin(),x.end()
using ll=long long;
constexpr ll mod = 1e9 + 7;
constexpr ll INF = 1LL << 60;

ll gcd(ll n, ll m) {
	ll tmp;
	while (m!=0) {
		tmp = n % m;
		n = m;
		m = tmp;
	}
	return n;
}

ll lcm(ll n, ll m) {
	return abs(n) / gcd(n, m)*abs(m);//gl=xy
}
 
template<class T> inline bool chmin(T& a, T b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}
template<class T> inline bool chmax(T& a, T b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}
 
using namespace std;

struct ArbitraryModInt {

  int x;

  ArbitraryModInt() : x(0) {}

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

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

  static int set_mod(int md) {
    mod() = md;
  }

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

  ArbitraryModInt &operator-=(const ArbitraryModInt &p) {
    if((x += mod() - p.x) >= mod()) x -= 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" (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 = 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);
  }
};

template< typename Data, typename T >
struct ReRooting {
 
  struct Node {
    int to, rev;
    Data data;
  };
 
  using F1 = function< T(T, T) >;
  using F2 = function< T(T, Data) >;
 
  vector< vector< Node > > g;
  vector< vector< T > > ldp, rdp;
  vector< int > lptr, rptr;
  const F1 f1;
  const F2 f2;
  const T ident;
 
  ReRooting(int n, const F1 &f1, const F2 &f2, const T &ident) :
      g(n), ldp(n), rdp(n), lptr(n), rptr(n), f1(f1), f2(f2), ident(ident) {}
 
  void add_edge(int u, int v, const Data &d) {
    g[u].emplace_back((Node) {v, (int) g[v].size(), d});
    g[v].emplace_back((Node) {u, (int) g[u].size() - 1, d});
  }
 
  void add_edge_bi(int u, int v, const Data &d, const Data &e) {
    g[u].emplace_back((Node) {v, (int) g[v].size(), d});
    g[v].emplace_back((Node) {u, (int) g[u].size() - 1, e});
  }
 
 
  T dfs(int idx, int par) {
 
    while(lptr[idx] != par && lptr[idx] < g[idx].size()) {
      auto &e = g[idx][lptr[idx]];
      ldp[idx][lptr[idx] + 1] = f1(ldp[idx][lptr[idx]], f2(dfs(e.to, e.rev), e.data));
      ++lptr[idx];
    }
    while(rptr[idx] != par && rptr[idx] >= 0) {
      auto &e = g[idx][rptr[idx]];
      rdp[idx][rptr[idx]] = f1(rdp[idx][rptr[idx] + 1], f2(dfs(e.to, e.rev), e.data));
      --rptr[idx];
    }
    if(par < 0) return rdp[idx][0];
    return f1(ldp[idx][par], rdp[idx][par + 1]);
  }
 
  vector< T > solve() {
    for(int i = 0; i < g.size(); i++) {
      ldp[i].assign(g[i].size() + 1, ident);
      rdp[i].assign(g[i].size() + 1, ident);
      lptr[i] = 0;
      rptr[i] = (int) g[i].size() - 1;
    }
    vector< T > ret;
    for(int i = 0; i < g.size(); i++) {
      ret.push_back(dfs(i, -1));
    }
    return ret;
  }
};

using P=pair<int,int>;
void solve(){
  int n,m;
  cin>>n>>m;
  ArbitraryModInt::set_mod(m);
  auto f=[](ArbitraryModInt a,ArbitraryModInt b){return (a+1)*(b+1)-1;};//a:前に計算した値,b:今計算した値 何を返すか
  auto g=[](ArbitraryModInt a,ArbitraryModInt b){return a+b;};//頂点同士の計算
  ReRooting<ArbitraryModInt,ArbitraryModInt>dp(n,f,g,0);
  rep(i,n-1){
    int x,y;
    cin>>x>>y;
    x--;y--;
    dp.add_edge(x,y,1);
  }
  vector<ArbitraryModInt>ans=dp.solve();
  rep(i,n){
    cout<<ans[i]+1<<"\n";
  }
}

int main(){
	ios::sync_with_stdio(false);
  cin.tie(0);
	cout<<fixed<<setprecision(15);
  solve();
	return 0;
}


Measured memory_bytes: 39804