/**
 *    author:  otera    
**/
#include<iostream>
#include<string>
#include<cstdio>
#include<cstring>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<deque>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<complex>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<utility>
#include<cassert>
using namespace std;

#define int long long
typedef long long ll;
typedef unsigned long long ul;
typedef unsigned int ui;
typedef long double ld;
const int inf=1e9+7;
const ll INF=1LL<<60 ;
const ll mod=1e9+7 ;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
typedef complex<ld> Point;
const ld eps = 1e-8;
const ld pi = acos(-1.0);
typedef pair<int, int> P;
typedef pair<ld, ld> LDP;
typedef pair<ll, ll> LP;
#define fr first
#define sc second
#define all(c) c.begin(),c.end()
#define pb push_back
#define debug(x)  cerr << #x << " = " << (x) << endl;
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

//rerooting library by otera
template< typename U, typename T>
struct Rerooting {

    struct Edge {
        int to;
        U date;
        T dp;
    };

    using F1 = function< T(T, T) >;
    using F2 = function< T(T, U) >;

    vector<vector<Edge>> g;
    vector<T> dp, subdp;
    const T ident;
    const F1 f1;
    const F2 f2;

    Rerooting(int n, const F1 &f1, const F2 &f2, const T &ident) : g(n), f1(f1), f2(f2), dp(n, ident), subdp(n, ident), ident(ident) {}

    void add_edge(int s, int t, const U &d) {
        g[s].emplace_back((Edge) {t, d, ident});
        g[t].emplace_back((Edge) {s, d, ident});
    }

    void add_edge_bi(int s, int t, const U &d, const U &e) {
        g[s].emplace_back((Edge) {t, d, ident});
        g[t].emplace_back((Edge) {s, e, ident});
    }

    void rec(int v, int par) {
        for(auto &e: g[v]) {
            if(e.to == par) continue;
            rec(e.to, v);
            subdp[v] = f1(subdp[v], f2(subdp[e.to], e.date));
        }
    }

    void rerec(int v, int par, const T &pval) {
        int sz = (int)g[v].size();
        vector<T> left(sz + 1, ident), right(sz + 1, ident);
        for(int i = 0; i < sz; ++ i) {
            auto &e = g[v][i];
            e.dp = f2(par == e.to ? pval : subdp[e.to], e.date);
            left[i + 1] = f1(left[i], e.dp);
        }
        dp[v] = left[sz];
        for(int i = 0; i < sz; ++ i) {
            auto &e = g[v][sz - 1 - i];
            if(e.to != par) {
                rerec(e.to, v, f1(left[sz - 1 - i], right[i]));
            }
            right[i + 1] =  f1(right[i], e.dp);
        }
    }

    vector<T> build() {
        rec(0, -1);
        rerec(0, -1, ident);
        return dp;
    }
};

int n, m;
vector<vector<int>> g;

void solve() {
	cin >> n >> m;
    auto f1 = [&](int a, int b){ return a * b % m; };
    auto f2 = [&](int a, int d) { return (a + d) % m; };
    Rerooting<int, int> rrt(n, f1, f2, 1);
    rep(i, n - 1) {
        int x, y; cin >> x >> y; --x; --y;
        rrt.add_edge(x, y, 1);
    }
    for(int x: rrt.build()) {
        cout << x << endl;
    }
}

signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	//cout << fixed << setprecision(10);
	//int t; cin >> t; rep(i, t)solve();
	solve();
    return 0;
}

Measured memory_bytes: 32968