#ifdef BODY ================================================================================================================================

+library{ name:ushi_rerooting }

int solve(lint n, lint m, std::vector<lint> x, std::vector<lint> y){
	auto f1 = [&](lint a,lint b){
		return (a*b)%m;
	};
	auto f2 = [&](lint a,lint b){
		return (a+1)%m;
	};
	ReRooting<lint,lint>g(n,f1,f2,1);
	rep(n-1)g.add_edge(--x[i],--y[i],1);
	auto dp=g.build();
	out(dp);
	return 0;
}

#endif BODY ================================================================================================================================

//sub-BOF

// desktop
// author: Tqk

//#define _AOJ_
#define _C_INPUT_

#pragma region template

#pragma region basic
#define IN_FILE "./in.txt"
//#pragma GCC optimize ("O3")
#pragma warning(disable: 4455 4244 4067 4068 4996)
#pragma GCC target ("avx")
#pragma GCC diagnostic ignored "-Wliteral-suffix"
#define NOMINMAX
#include "bits/stdc++.h"
using namespace std;
typedef int64_t lint;
typedef long double ld;
typedef string cs;
#define linf 1152921504606846976
inline lint operator""z(const unsigned long long n){ return lint(n); }
#pragma endregion

#pragma region rep
#define _vcppunko4(tuple) _getname4 tuple
#define _getname4(_1,_2,_3,_4,name,...) name
#define _getname3(_1,_2,_3,name,...) name
#define _trep2(tuple) _rep2 tuple
#define _trep3(tuple) _rep3 tuple
#define _trep4(tuple) _rep4 tuple
#define _rep1(n) for(lint i=0;i<n;++i)
#define _rep2(i,n) for(lint i=0;i<n;++i)
#define _rep3(i,a,b) for(lint i=a;i<b;++i)
#define _rep4(i,a,b,c) for(lint i=a;i<b;i+=c)
#define _trrep2(tuple) _rrep2 tuple
#define _trrep3(tuple) _rrep3 tuple
#define _trrep4(tuple) _rrep4 tuple
#define _rrep1(n) for(lint i=n-1;i>=0;--i)
#define _rrep2(i,n) for(lint i=n-1;i>=0;--i)
#define _rrep3(i,a,b) for(lint i=b-1;i>=a;--i)
#define _rrep4(i,a,b,c) for(lint i=a+(b-a-1)/c*c;i>=a;i-=c)
#define rep(...) _vcppunko4((__VA_ARGS__,_trep4,_trep3,_trep2,_rep1))((__VA_ARGS__))
#define per(...) _vcppunko4((__VA_ARGS__,_trrep4,_trrep3,_trrep2,_rrep1))((__VA_ARGS__))
#define each(c) for(auto &e:c)
#pragma endregion

#pragma region io
template<class T>
istream& operator>>(istream& is,vector<T>& vec);
template<class T,size_t size>
istream& operator>>(istream& is,array<T,size>& vec);
template<class T,class L>
istream& operator>>(istream& is,pair<T,L>& p);
template<class T>
ostream& operator<<(ostream& os,vector<T>& vec);
template<class T,class L>
ostream& operator<<(ostream& os,pair<T,L>& p);
template<class T>
istream& operator>>(istream& is,vector<T>& vec){ for(T& x: vec) is>>x;return is; }
template<class T,class L>
istream& operator>>(istream& is,pair<T,L>& p){ is>>p.first;is>>p.second;return is; }
template<class T,class L>
ostream& operator<<(ostream& os,pair<T,L>& p){ os<<p.first<<" "<<p.second;return os; }
template<class T>
ostream& operator<<(ostream& os,vector<T>& vec){ os<<vec[0];rep(i,1,vec.size())os<<' '<<vec[i];return os; }
template<class T>
ostream& operator<<(ostream& os,deque<T>& deq){ os<<deq[0];rep(i,1,deq.size())os<<' '<<deq[i];return os; }
template<class T>
ostream& operator<<(ostream& os,set<T>& s){ each(s)os<<e<<" ";return os; }

#ifdef __ENV_TQK__
/*
ifstream infile(IN_FILE);
template<class T>
ifstream& operator>>(ifstream& is,vector<T>& vec);
template<class T,size_t size>
ifstream& operator>>(ifstream& is,array<T,size>& vec);
template<class T,class L>
ifstream& operator>>(ifstream& is,pair<T,L>& p);
template<class T>
ifstream& operator>>(ifstream& is,vector<T>& vec){ for(T& x: vec) is>>x;return is; }
template<class T,class L>
ifstream& operator>>(ifstream& is,pair<T,L>& p){ is>>p.first;is>>p.second;return is; }
inline void fin(){}
template <class Head,class... Tail>
inline void fin(Head&& head,Tail&&... tail){ infile>>head;fin(move(tail)...); }
*/
#include<Windows.h>
HANDLE hConsole = GetStdHandle(STD_OUTPUT_HANDLE);
inline void in(){ SetConsoleTextAttribute(hConsole,10); }
template <class Head,class... Tail>
inline void in(Head&& head,Tail&&... tail){
	SetConsoleTextAttribute(hConsole,15);
	cin>>head;in(move(tail)...);
}
#else
inline void in(){}
template <class Head,class... Tail>
inline void in(Head&& head,Tail&&... tail){ cin>>head;in(move(tail)...); }
#endif

inline bool out(){ return(cout<<'\n',0); }
template <class T>
inline bool out(T t){ return(cout<<t<<'\n',0); }
template <class Head,class... Tail>
inline bool out(Head head,Tail... tail){ cout<<head<<' ';out(move(tail)...);return 0; }
template <class T>
inline void alloc(T &c,lint s){ rep(c.size())c[i].resize(s); }
#define alc alloc
#ifdef __ENV_TQK__
inline bool deb(){ SetConsoleTextAttribute(hConsole,10); return(cout<<'\n',0); }
template <class T>
inline bool deb(T t){ return(SetConsoleTextAttribute(hConsole,12),cout<<t<<'\n',SetConsoleTextAttribute(hConsole,10),0); }
template <class Head,class... Tail>
inline bool deb(Head head,Tail... tail){
	SetConsoleTextAttribute(hConsole,12);
	cout<<head<<' ';deb(move(tail)...);return 0;
}
#define dsp(ex) sp(ex)
#define dno(ex) no(ex)
#define look(v) SetConsoleTextAttribute(hConsole,12),cout<<#v<<": ",deb(v);
#else
#define deb(...) 0
#define dsp(ex) 0
#define dno(ex) 0
#define look(v) 0
#endif

#pragma endregion

#pragma region TA
#define lin(...) lint __VA_ARGS__;in(__VA_ARGS__)
#define stin(...) string __VA_ARGS__;in(__VA_ARGS__)
#define vin(type,name,size) vector<type> name(size);in(name)
#define all(v) v.begin(),v.end()
#define pb push_back
#define fi e.first
#define se e.second
#define YES(c) cout<<((c)?"YES\n":"NO\n"),0
#define Yes(c) cout<<((c)?"Yes\n":"No\n"),0
#define POSSIBLE(c) cout<<((c)?"POSSIBLE\n":"IMPOSSIBLE\n"),0
#define Possible(c) cout<<((c)?"Possible\n":"Impossible\n"),0
#define o(p) cout<<p<<endl,0
#define sp(p) cout<<p<<" ",0
#define no(p) cout<<p,0
#define psort(l,r) if(l>r)swap(l,r);
inline constexpr lint gcd(lint a,lint b){ while(b){ lint c=b;b=a%b;a=c; }return a; }
inline constexpr lint lcm(lint a,lint b){ return a/gcd(a,b)*b; }
template<typename T>
inline constexpr bool chmin(T &mn,const T &cnt){ if(mn>cnt){ mn=cnt;return 1; } else return 0; }
template<typename T>
inline constexpr bool chmax(T &mx,const T &cnt){ if(mx<cnt){ mx=cnt;return 1; } else return 0; }
#define fn(ty1,ty2,ex) [](ty1 l,ty2 r){ return(ex); }
#define lfn(ex) [](lint l,lint r){ return(ex); }

#pragma endregion

#pragma region P
class P{ public:lint f,s; P(lint a,lint b):f(a),s(b){}; P():f(0),s(0){}; };
istream& operator>>(istream& os,P& p){ os>>p.f>>p.s;return os; }
constexpr bool operator<(const P& l,const P& r){ return(l.f-r.f?l.f<r.f:l.s<r.s); }
constexpr bool operator>(const P& l,const P& r){ return(l.f-r.f?l.f>r.f:l.s>r.s); }
constexpr bool operator<=(const P& l,const P& r){ return!(l.f-r.f?l.f>r.f:l.s>r.s); }
constexpr bool operator>=(const P& l,const P& r){ return!(l.f-r.f?l.f<r.f:l.s<r.s); }
P operator+(const P& l,const P& r){return P(l.f+r.f,l.s+r.s);}
P operator-(const P& l,const P& r){return P(l.f-r.f,l.s-r.s);}
P operator-(const P& r){return P(-r.f,-r.s); }
P operator*(const lint& l,const P& r){return P(l*r.f,l*r.s); }
P operator/(const P& l,const lint& r){return P(l.f/r,l.s/r); }
#pragma endregion

#pragma region start
struct Start{
	Start(){
#ifndef _C_INPUT_
		cin.tie(0),cout.tie(0);
		ios::sync_with_stdio(0);
#endif
		cout<<fixed<<setprecision(16);
	}
} __start;
#pragma endregion

#pragma endregion

#pragma region const
#define MAXN 101010
#define mod 1000000007
const ld pi=acos(-1);
const ld tau=(1.+sqrt(5))/2.;
P d4[4]={P(1,0),P(0,1),P(-1,0),P(0,-1)};
P d8[8]={P(1,0),P(1,1),P(0,1),P(-1,1),P(-1,0),P(-1,-1),P(0,-1),P(1,-1)};
const string AUTO_YES = "Yay!";
const string AUTO_NO = ":(";
int cho(bool c,cs yes=AUTO_YES,cs no=AUTO_NO){
	return out((c?yes:no));
}
#pragma endregion

#pragma region solve

#pragma region lib_ushi_rerooting

template< typename sum_t, typename key_t >
struct ReRooting {
	struct Edge {
		int to;
		key_t data;
		sum_t dp, ndp;
	};

	using F = function< sum_t(sum_t, sum_t) >;
	using G = function< sum_t(sum_t, key_t) >;

	vector< vector< Edge > > g;
	vector< sum_t > subdp, dp;
	const sum_t ident;
	const F f;
	const G gg;

	ReRooting(int V, const F f, const G g, const sum_t &ident)
		: g(V), f(f), gg(g), ident(ident), subdp(V, ident), dp(V, ident) {}

	void add_edge(int u, int v, const key_t &d) {
		g[u].push_back({v, d, ident, ident});
		g[v].push_back({u, d, ident, ident});
	}

	void add_edge_bi(int u, int v, const key_t &d, const key_t &e) {
		g[u].emplace_back((Edge) {v, d, ident, ident});
		g[v].emplace_back((Edge) {u, e, ident, ident});
	}

	void dfs_sub(int idx, int par) {
		for(auto &e : g[idx]) {
			if(e.to == par) continue;
			dfs_sub(e.to, idx);
			subdp[idx] = f(subdp[idx], gg(subdp[e.to], e.data));
		}
	}

	void dfs_all(int idx, int par, const sum_t &top) {
		sum_t buff{ident};
		for(int i = 0; i < (int) g[idx].size(); i++) {
			auto &e = g[idx][i];
			e.ndp = buff;
			e.dp = gg(par == e.to ? top : subdp[e.to], e.data);
			buff = f(buff, e.dp);
		}
		dp[idx] = buff;
		buff = ident;
		for(int i = (int) g[idx].size() - 1; i >= 0; i--) {
			auto &e = g[idx][i];
			if(e.to != par) dfs_all(e.to, idx, f(e.ndp, buff));
			e.ndp = f(e.ndp, buff);
			buff = f(buff, e.dp);
		}
	}

	vector< sum_t > build() {
		dfs_sub(0, -1);
		dfs_all(0, -1, ident);
		return dp;
	}
};

#pragma endregion

int solve(lint n, lint m, std::vector<lint> x, std::vector<lint> y){
	auto f1 = [&](lint a,lint b){
		return (a*b)%m;
	};
	auto f2 = [&](lint a,lint b){
		return (a+1)%m;
	};
	ReRooting<lint,lint>g(n,f1,f2,1);
	rep(n-1)g.add_edge(--x[i],--y[i],1);
	auto dp=g.build();
	out(dp);
	return 0;
}

#pragma endregion

#pragma region main

int main(){
	lint N;
    scanf("%lld",&N);
    lint M;
    scanf("%lld",&M);
    std::vector<lint> x(N-1);
    std::vector<lint> y(N-1);
    for(int i = 0 ; i < N-1 ; i++){
        scanf("%lld",&x[i]);
        scanf("%lld",&y[i]);
    }
	solve(N, M, std::move(x), std::move(y));
	return 0;
}

#pragma endregion

//sub-EOF


Measured memory_bytes: 32408