// need
#include <iostream>
#include <algorithm>
// data structure
#include <bitset>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <utility>
#include <vector>
#include <complex>
//#include <deque>
#include <valarray>
#include <unordered_map>
#include <unordered_set>
#include <array>
// stream
//#include <istream>
#include <sstream>
//#include <ostream>
#include <fstream>
// etc
#include <cassert>
#include <cmath>
#include <functional>
#include <iomanip>
//#include <chrono>
#include <random>
#include <numeric>

// input
#define INIT std::ios::sync_with_stdio(false);std::cin.tie(0);
#define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__);
template<typename T> void MACRO_VAR_Scan(T& t) { std::cin >> t; }
template<typename First, typename...Rest>void MACRO_VAR_Scan(First& first, Rest&...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); }
#define VEC_ROW(type, n, ...)std::vector<type> __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int w=0; w<n; ++w){MACRO_VEC_ROW_Scan(w, __VA_ARGS__);}
template<typename T> void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Init(int n, First& first, Rest&...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); }
template<typename T> void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Scan(int p, First& first, Rest&...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); }
#define VEC(type, c, n) std::vector<type> c(n);for(auto& i:c)std::cin>>i;
#define MAT(type, c, m, n) std::vector<std::vector<type>> c(m, std::vector<type>(n));for(auto& R:c)for(auto& w:R)std::cin>>w;
// output
#define OUT(dist) std::cout<<(dist);
#define FOUT(n, dist) std::cout<<std::fixed<<std::setprecision(n)<<(dist);
#define SOUT(n, c, dist) std::cout<<std::setw(n)<<std::setfill(c)<<(dist);
#define SP std::cout<<" ";
#define TAB std::cout<<"\t";
#define BR std::cout<<"\n";
#define SPBR(w, n) std::cout<<(w + 1 == n ? '\n' : ' ');
#define ENDL std::cout<<std::endl;
#define FLUSH std::cout<<std::flush;
#define SHOW(dist) {std::cerr << #dist << "\t:" << (dist) << "\n";}
#define SHOWVECTOR(v) {std::cerr << #v << "\t:";for(const auto& xxx : v){std::cerr << xxx << " ";}std::cerr << "\n";}
#define SHOWVECTOR2(v) {std::cerr << #v << "\t:\n";for(const auto& xxx : v){for(const auto& yyy : xxx){std::cerr << yyy << " ";}std::cerr << "\n";}}
#define SHOWQUEUE(a) {auto tmp(a);std::cerr << #a << "\t:";while(!tmp.empty()){std::cerr << tmp.front() << " ";tmp.pop();}std::cerr << "\n";}
// utility
#define ALL(a) (a).begin(),(a).end()
#define FOR(w, a, n) for(int w=(a);w<(n);++w)
#define RFOR(w, a, n) for(int w=(n)-1;w>=(a);--w)
#define REP(w, n) for(int w=0;w<int(n);++w)
#define RREP(w, n) for(int w=int(n)-1;w>=0;--w)
#define FORLL(w, a, n) for(ll w=ll(a);w<ll(n);++w)
#define RFORLL(w, a, n) for(ll w=ll(n)-1;w>=ll(a);--w)
#define REPLL(w, n) for(ll w=0;w<ll(n);++w)
#define RREPLL(w, n) for(ll w=ll(n)-1;w>=0;--w)
#define IN(a, x, b) (a<=x && x<b)
template<class T> inline T CHMAX(T& a, const T b) { return a = (a < b) ? b : a; }
template<class T> inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; }
#define EXCEPTION(msg) throw std::string("Exception : " msg " [ in ") + __func__ + " : " + std::to_string(__LINE__) + " lines ]"
#define TRY(cond, msg) try {if (cond) EXCEPTION(msg);}catch (std::string s) {std::cerr << s << std::endl;}
//void CHECKTIME(std::function<void()> f) { auto start = std::chrono::system_clock::now(); f(); auto end = std::chrono::system_clock::now(); auto res = std::chrono::duration_cast<std::chrono::nanoseconds>((end - start)).count(); std::cerr << "[Time:" << res << "ns  (" << res / (1.0e9) << "s)]\n"; }
// test
template<class T> std::vector<std::vector<T>> VV(int n, int m, T init = T()) {
	return std::vector<std::vector<T>>(n, std::vector<T>(m, init));
}
template<typename S, typename T>
std::ostream& operator<<(std::ostream& os, std::pair<S, T> p) {
	os << "(" << p.first << ", " << p.second << ")"; return os;
}

// type/const
#define int ll
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using PAIR = std::pair<int, int>;
using PAIRLL = std::pair<ll, ll>;
constexpr int INFINT = 1 << 30;                          // 1.07x10^ 9
constexpr int INFINT_LIM = (1LL << 31) - 1;              // 2.15x10^ 9
constexpr ll INFLL = 1LL << 60;                          // 1.15x10^18
constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62);  // 9.22x10^18
constexpr double EPS = 1e-10;
constexpr int MOD = 1000000007;
constexpr double PI = 3.141592653589793238462643383279;
template<class T, size_t N> void FILL(T(&a)[N], const T& val) { for (auto& x : a) x = val; }
template<class ARY, size_t N, size_t M, class T> void FILL(ARY(&a)[N][M], const T& val) { for (auto& b : a) FILL(b, val); }
template<class T> void FILL(std::vector<T>& a, const T& val) { for (auto& x : a) x = val; }
template<class ARY, class T> void FILL(std::vector<std::vector<ARY>>& a, const T& val) { for (auto& b : a) FILL(b, val); }
// ------------>8------------------------------------->8------------

int dp[100005][2];
int dp2[100005][2];
int M;

// --------8<-------- ここを書き換える --------8<--------
struct Node {
	int v;
	Node() :v(1) {}
	Node(int v) :v(v) {}
	static Node merge(const Node& l, const Node& r);
};
Node Node::merge(const Node& l, const Node& r) {
	Node res;
	res = Node(l.v * r.v % M);
	return res;
};
// -------->8-------------------------------->8--------

//SegmentTreeEx(Node型セグ木)
class SegmentTreeEx {
public:
	int size;
	Node init_val;
	std::vector<Node> ary;

	SegmentTreeEx(int n, Node init_val) : size(1), init_val(init_val) {
		while (size < n) size *= 2;
		size = size * 2 - 1;
		ary.resize(size, init_val);
		init(0, 0, size / 2 + 1);
	}

	void init(int i, int l, int r) {
		if (r - l == 1) {
			// 葉ノードの初期化
			ary[i] = Node();
		}
		else {
			// 親ノードの初期化
			init(i * 2 + 1, l, (l + r) / 2);
			init(i * 2 + 2, (l + r) / 2, r);
			ary[i] = Node::merge(ary[i * 2 + 1], ary[i * 2 + 2]);
		}
	}

	void update(int i, Node node) {
		i += size / 2;
		// 葉ノードの更新
		// (加算等はここを書き換える : ary[i] += v;など)
		ary[i] = node;

		// 親ノードの更新
		while (i > 0) {
			i = (i - 1) / 2;
			ary[i] = Node::merge(ary[i * 2 + 1], ary[i * 2 + 2]);
		}
	}

	// 区間[a, b)の値を返す (query_(a, b, 0, 0, n)と呼び出す)
	Node query_(int a, int b, int i, int l, int r) const {
		if (r <= a || b <= l) return init_val;
		if (a <= l && r <= b) return ary[i];
		else {
			Node ln = query_(a, b, 2 * i + 1, l, (l + r) / 2);
			Node rn = query_(a, b, 2 * i + 2, (l + r) / 2, r);
			return Node::merge(ln, rn);
		}
	}

	// 区間[a, b)の値を返す
	Node query(int a, int b) const {
		return query_(a, b, 0, 0, size / 2 + 1);
	}
};

signed main() {
	INIT;

	VAR(int, n, M_); M = M_;
	VEC_ROW(int, n - 1, a, b);

	std::vector<std::vector<int>> g(n);
	REP(i, n - 1) {
		--a[i]; --b[i];
		g[a[i]].emplace_back(b[i]);
		g[b[i]].emplace_back(a[i]);
	}

	std::function<void(int, int)> dfs = [&](int v, int par) {
		bool chi = true;
		for (int to : g[v]) if (to != par) {
			chi = false;
			dfs(to, v);
			(dp[v][0] *= dp[to][0]) %= M;
			(dp[v][1] *= dp[to][0] + dp[to][1]) %= M;
		}
	};
	FILL(dp, 1LL);
	dfs(0, -1);

	dp2[0][0] = dp2[0][1] = 1;

	std::vector<int> ans(n, -1);
	ans[0] = dp[0][1];

	std::function<void(int, int)> dfs2 = [&](int v, int par) {
		int sz = 0;
		for (int to : g[v]) if (to != par) {
			++sz;
		}

		SegmentTreeEx st(sz, Node(1));
		SegmentTreeEx st2(sz, Node(1));

		int p = 0;
		for (int to : g[v]) if (to != par) {
			st.update(p, Node(dp[to][0]));
			st2.update(p, Node(dp[to][0] + dp[to][1]));
			++p;
		}

		p = 0;
		for (int to : g[v]) if (to != par) {
			dp2[to][0] = dp2[v][0];
			(dp2[to][0] *= st.query(0, p).v) %= M;
			(dp2[to][0] *= st.query(p + 1, sz).v) %= M;

			dp2[to][1] = dp2[v][1];
			(dp2[to][1] *= st2.query(0, p).v) %= M;
			(dp2[to][1] *= st2.query(p + 1, sz).v) %= M;
			(dp2[to][1] += dp2[to][0]) %= M;
			ans[to] = (dp2[to][1] * dp[to][1]) % M;
			++p;
			dfs2(to, v);
		}
	};
	dfs2(0, -1);

	/*REP(i, n) {
		FILL(dp, 1LL);
		dfs(i, -1);
		OUT(dp[i][1])BR;
	}*/

	REP(i, n) {
		OUT(ans[i])BR;
	}

	return 0;
}

Measured memory_bytes: 37120