#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> P;
typedef pair<int,int> Pi;
#define rep(i, n) for (ll i = 0; i < n; i++)
#define FOR(i, a, b) for (ll i = a; i < b; i++)
#define fi first
#define se second
#define endl "\n"

template<typename T> inline bool chmax(T &a, T b){if(a<b){a=b;return true;}return false;}
template<typename T> inline bool chmin(T &a, T b){if(a>b){a=b;return true;}return false;}
template<typename T> ostream& operator<<(ostream& s,const complex<T>& d) {return s<<"("<<d.real()<<", "<<d.imag()<< ")";}
template<typename T1, typename T2> ostream& operator<<(ostream& s,const pair<T1,T2>& d) {return s<<"("<<d.first<<", "<<d.second<<")";}
template<typename T> ostream& operator<<(ostream& s, const vector<T>& d){
	int len=d.size();
	rep(i,len){
		s<<d[i];if(i<len-1) s<<" ";
	}
	return s;
}
template<typename T> ostream& operator<<(ostream& s,const vector<vector<T>>& d){
	int len=d.size();
	rep(i,len){
		s<<d[i]<<endl;
	}
	return s;
}
template<typename T> ostream& operator<<(ostream& s,const set<T>& v){
	s<<"{ ";
	for(auto itr=v.begin();itr!=v.end();++itr) {
		if (itr!=v.begin()) {s<< ", ";}
		s<<(*itr);
	}
	s<<" }";
	return s;
}
template<typename T1, typename T2> ostream& operator<<(ostream& s,const map<T1,T2>& m){
	s<<"{"<<endl;
	for(auto itr=m.begin();itr!=m.end();++itr){
		s<<" "<<(*itr).first<<" : "<<(*itr).second<<endl;
	}
	s<<"}"<<endl;
	return s;
}

int mod=1e9+7;
const ll inf=1e17;
const int INF=1e9;
const double PI=acos(-1);
const double EPS=1e-10;

struct mint {
	ll x;
	mint(ll x=0):x((x%mod+mod)%mod){}
	mint& operator+=(const mint a) {
		if ((x += a.x) >= mod) x -= mod;
		return *this;
	}
	mint& operator-=(const mint a) {
		if ((x += mod-a.x) >= mod) x -= mod;
		return *this;
	}
	mint& operator*=(const mint a) {
		(x *= a.x) %= mod;
		return *this;
	}
	mint operator+(const mint a) const {
		mint res(*this);
		return res+=a;
	}
	mint operator-(const mint a) const {
		mint res(*this);
		return res-=a;
	}
	mint operator*(const mint a) const {
		mint res(*this);
		return res*=a;
	}
	mint pow(ll t) const {
		if (!t) return 1;
		mint a = pow(t>>1);
		a *= a;
		if (t&1) a *= *this;
		return a;
	}
	// for prime mod
	mint inv() const {
		return pow(mod-2);
	}
	mint& operator/=(const mint a) {
		return (*this) *= a.inv();
	}
	mint operator/(const mint a) const {
		mint res(*this);
		return res/=a;
	}
};

struct combination {
  vector<mint> fact, ifact;
  combination(int n):fact(n+1),ifact(n+1) {
	assert(n < mod);
	fact[0] = 1;
	for (int i = 1; i <= n; ++i) fact[i] = fact[i-1]*i;
	ifact[n] = fact[n].inv();
	for (int i = n; i >= 1; --i) ifact[i-1] = ifact[i]*i;
  }
  mint operator()(int n, int k) {
	if (k < 0 || k > n) return 0;
	return fact[n]*ifact[k]*ifact[n-k];
  }
};

const int V=100010;
vector<vector<int>> g(V);
vector<mint> dp1(V),dp2(V);

mint dfs1(int v,int pre){
	mint ret=1;
	for(auto itr:g[v]){
		if(itr==pre) continue;
		ret*=(dfs1(itr,v)+1);
	}
	return dp1[v]=ret;
}

void dfs2(int v,int pre){
	int sz=g[v].size();
	vector<mint> l(sz+2,1),r(sz+2,1);
	rep(i,sz){
		l[i+1]=(dp1[g[v][i]]+1)*l[i];
	}
	for(int i=sz-1;i>=0;i--){
		r[i+1]=(dp1[g[v][i]]+1)*r[i+2];
	}
	dp2[v]=l[sz];
	rep(i,sz){
		if(g[v][i]==pre) continue;
		mint now=dp1[v];
		dp1[v]=l[i]*r[i+2];
		dfs2(g[v][i],v);
		dp1[v]=now;
	}
}

int main(){
	cin.tie(0);
	ios::sync_with_stdio(false);
	int n,m;
	cin>>n>>m;
	mod=m;
	rep(i,n-1){
		int x,y;
		cin>>x>>y;
		x--,y--;
		g[x].push_back(y);
		g[y].push_back(x);
	}
	dfs1(0,-1);
	dfs2(0,-1);
	rep(i,n){
		cout<<dp2[i].x<<endl;
	}
}

Measured memory_bytes: 20736