// Slower C++ solution:
#include <bits/stdc++.h>

using namespace std;

using ll = long long;

using vll = vector<ll>;

using vvll = vector<vll>;

using vc = vector<char>;

using vvc = vector<vc>;

using pll = pair<ll, ll>;

using stkll = vector<pll>;

const ll INF = 1LL << 60;

const ll MOD = 1e9 + 7;

#define rep(i, n) for (ll i = 0; i < (n); i++)

template<typename T1,typename T2> inline void chmin(T1 &a,T2 b){if(a>b) a=b;}

template<typename T1,typename T2> inline void chmax(T1 &a,T2 b){if(a<b) a=b;}

#ifndef ONLINE_JUDGE

    #define debug(x) cerr << #x << ": " << x << endl;

#else

    #define debug(x)

#endif



ll N, M;

vvll g(110000);



ll dp1[110000], dp2[110000], ans[110000];



void dfs1(ll x, ll p = -1) {

    ll prod = 1;

    for(auto to : g[x]) {

        if(to == p) continue;

        dfs1(to, x);

        prod *= dp1[to];

        prod %= M;

    }

    dp1[x] = (prod + 1) % M;

}



void dfs2(ll x, ll p = -1) {

    if(p == -1) dp2[x] = 1;



    vll lprod(g[x].size(), 1);

    vll rprod(g[x].size(), 1);

    rep(i, g[x].size()) {

        auto to = g[x][i];

        if(i-1 >= 0) lprod[i] = lprod[i-1];

        if(to == p) continue;

        (lprod[i] *= dp1[to]) %= M;

    }

    for(ll i = (ll)g[x].size() - 1; i >= 0; i--) {

        auto to = g[x][i];

        if(i+1 < rprod.size()) rprod[i] = rprod[i+1];

        if(to == p) continue;

        (rprod[i] *= dp1[to]) %= M;

    }



    rep(i, g[x].size()) {

        auto to = g[x][i];

        if(to == p) continue;

        ll rest_prod = 1;

        if(i-1 >= 0) (rest_prod *= lprod[i-1]) %= M;

        if(i+1 < rprod.size()) (rest_prod *= rprod[i+1]) %= M;

        dp2[to] = (dp2[x] * rest_prod + 1) % M;

        dfs2(to, x);

    }

}



void dfs3(ll x, ll p = -1) {

    ans[x] = dp2[x];

    for(auto to : g[x]) {

        if(to == p) continue;

        ans[x] *= dp1[to];

        ans[x] %= M;

        dfs3(to, x);

    }

}



int main() {

    cin.tie(0);

    ios::sync_with_stdio(false);

    cout << fixed << setprecision(20);



    cin >> N >> M;

    rep(i,N-1) {

        ll x, y;

        cin >> x >> y;

        x--, y--;

        g[x].push_back(y);

        g[y].push_back(x);

    }



    dfs1(0);

    dfs2(0);

    dfs3(0);

    rep(i,N) cout << ans[i] << endl;

}


// Faster C++ solution for the same problem (measured speedup: 3.751903172574482x):
#include <bits/stdc++.h>

using namespace std;

using ll = long long;

using vll = vector<ll>;

using vvll = vector<vll>;

using vc = vector<char>;

using vvc = vector<vc>;

using pll = pair<ll, ll>;

using vpll = vector<pll>;

const ll INF = 1LL << 60;

const ll MOD = 1e9 + 7;

#define rep(i, n) for (ll i = 0; i < (n); i++)

template<typename T1,typename T2> inline void chmin(T1 &a,T2 b){if(a>b) a=b;}

template<typename T1,typename T2> inline void chmax(T1 &a,T2 b){if(a<b) a=b;}

#ifndef ONLINE_JUDGE

    #define debug(x) cerr << #x << ": " << x << endl;

#else

    #define debug(x)

#endif



ll N, M;

vvll g;

ll dp1[110000], dp2[110000], ans[110000];



void dfs1(ll x, ll p = -1) {

    ll prod = 1;

    for(auto e : g[x]) {

        if(e == p) continue;

        dfs1(e, x);

        prod *= dp1[e];

        prod %= M;

    }

    dp1[x] = prod + 1;

    dp1[x] %= M;

}



void dfs2(ll x, ll p = -1) {

    if(p == -1) dp2[x] = 1;



    ll m = g[x].size();

    vll lprod(m, 1), rprod(m, 1);

    rep(i, m) {

        ll to = g[x][i];

        if(i-1 >= 0) lprod[i] = lprod[i-1];

        if(to == p) continue;

        (lprod[i] *= dp1[to]) %= M;

    }



    for(ll i = m-1; i >= 0; i--) {

        ll to = g[x][i];

        if(i+1 <= m-1) rprod[i] = rprod[i+1];

        if(to == p) continue;

        (rprod[i] *= dp1[to]) %= M;

    }



    rep(i, m) {

        ll to = g[x][i];

        if(to == p) continue;



        ll prod = dp2[x];

        if(i-1 >= 0) (prod *= lprod[i-1]) %= M;

        if(i+1 <= m-1) (prod *= rprod[i+1]) %= M;

        dp2[to] = (prod + 1) % M;

        dfs2(to, x);

    }

}



void dfs3(ll x, ll p = -1) {

    ans[x] = dp2[x];

    for(auto to : g[x]) {

        if(to == p) continue;

        ans[x] *= dp1[to];

        ans[x] %= M;

        dfs3(to, x);

    }

}



int main() {

    cin.tie(0);ios::sync_with_stdio(false);cout << fixed << setprecision(20);



    cin >> N >> M;

    g.resize(N);

    rep(i, N-1) {

        ll x, y;

        cin >> x >> y;

        x--, y--;

        g[x].push_back(y);

        g[y].push_back(x);

    }



    dfs1(0);

    dfs2(0);

    dfs3(0);

    rep(i, N) cout << ans[i] << endl;

}