//https://atcoder.jp/contests/dp/tasks/dp_v
#include <bits/stdc++.h>
using namespace std;

#define el '\n'
#define pb push_back
#define sp ' '
#define all(x) (x).begin(), (x).end()
#define mset(x, y) memset(x, y, sizeof(x))
#define ff first
#define ss second

// clang-format off
bool chmin(int& a, int b){ return b < a ? a = b, true : false; }
bool chmax(int& a, int b){ return b > a ? a = b, true : false; }
bool chmin(long long& a, long long b){ return b < a ? a = b, true : false; }
bool chmax(long long& a, long long b){ return b > a ? a = b, true : false; }
#ifndef ONLINE_JUDGE
template <typename T, size_t N> int SIZE(const T (&t)[N]){ return N; } template<typename T> int SIZE(const T &t){ return t.size(); } string to_string(const string s, int x1=0, int x2=1e9){ return '"' + ((x1 < (int)s.size()) ? s.substr(x1, x2-x1+1) : "") + '"'; } string to_string(const char* s) { return to_string((string) s); } string to_string(const bool b) { return (b ? "true" : "false"); } string to_string(const char c){ return string({c}); } template<size_t N> string to_string(const bitset<N> &b, int x1=0, int x2=1e9){ string t = ""; for(int __iii__ = min(x1,SIZE(b)),  __jjj__ = min(x2, SIZE(b)-1); __iii__ <= __jjj__; ++__iii__){ t += b[__iii__] + '0'; } return '"' + t + '"'; } template <typename A, typename... C> string to_string(const A (&v), int x1=0, int x2=1e9, C... coords); int l_v_l_v_l = 0, t_a_b_s = 0; template <typename A, typename B> string to_string(const pair<A, B> &p) { l_v_l_v_l++; string res = "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; l_v_l_v_l--; return res; } template <typename A, typename... C> string to_string(const A (&v), int x1, int x2, C... coords) { int rnk = rank<A>::value; string tab(t_a_b_s, ' '); string res = ""; bool first = true; if(l_v_l_v_l == 0) res += el; res += tab + "["; x1 = min(x1, SIZE(v)), x2 = min(x2, SIZE(v)); auto l = begin(v); advance(l, x1); auto r = l; advance(r, (x2-x1) + (x2 < SIZE(v))); for (auto e = l; e != r; e = next(e)) { if (!first) { res += ", "; } first = false; l_v_l_v_l++; if(e != l){ if(rnk > 1) { res += el; t_a_b_s = l_v_l_v_l; }; } else{ t_a_b_s = 0; } res += to_string(*e, coords...); l_v_l_v_l--; } res += "]"; if(l_v_l_v_l == 0) res += el; return res; } void dbgm(){;} template<typename Heads, typename... Tails> void dbgm(Heads H, Tails... T){ cout << to_string(H) << " | "; dbgm(T...); } 
#define dbg(...) cout << "[" << #__VA_ARGS__ << "]: "; cout << to_string(__VA_ARGS__) << endl
#define dbgm(...) cout << "[" << #__VA_ARGS__ << "]: "; dbgm(__VA_ARGS__); cout << endl
#else
#define dbg(...) ;
#define dbgm(...) ;
#endif
// clang-format on

typedef long long ll;
typedef unsigned int uint;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<pii, pii> ppi;
typedef pair<ll, ll> pll;
typedef pair<int, ll> pil;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<pii> vpii;
typedef vector<vi> vvi;
typedef vector<vll> vvll;
typedef vector<pll> vpll;
typedef vector<vpii> vvpii;
typedef vector<vpll> vvpll;

const int inf = 1e09 + 5e3;
const ll linf = 2e18 + 5e3;
int mod = 1e9 + 7;
const int mxn = 1e5 + 30;

ll ans[mxn], val[mxn], n;
vvi adj;

ll calc(vi &a)
{
    ll ret = 0;
    for (auto bl : a)
        ret += ret * bl + bl, ret %= mod;
    return ret;
}

ll dfs1(int v, int p = -1)
{
    vi vtemp;
    for (auto u : adj[v])
        if (u != p)
            vtemp.pb(dfs1(u, v));
    return val[v] = (calc(vtemp) + 1) % mod;
}

void dfs2(int v, int p = -1)
{
    ll oldval = 0;
    vll vtemp;
    for (auto u : adj[v])
        vtemp.pb(u);
    int n = vtemp.size();
    vll pref(n), suf(n);
    pref[0] = val[vtemp[0]];
    suf[n - 1] = val[vtemp[n - 1]];
    for (int i = 1; i < n; i++)
        pref[i] = val[vtemp[i]] + pref[i - 1] + val[vtemp[i]] * pref[i - 1], pref[i] %= mod;
    for (int i = n - 2; i >= 0; i--)
        suf[i] = val[vtemp[i]] + suf[i + 1] + val[vtemp[i]] * suf[i + 1], suf[i] %= mod;
    for (int i = 0; i < n; i++)
    {
        assert(n == vtemp.size());
        if (vtemp[i] == p)
            continue;
        ll pr = i ? pref[i - 1] : 0;

        ll s = i < n - 1 ? suf[i + 1] : 0;
        val[v] = pr + s + pr * s + 1, val[v] %= mod;
        // dbgm(v, p, i, vtemp[i], pr, s, val[s]);
        dfs2(vtemp[i], v);
    }
    ans[v] = suf[0] + 1, ans[v] %= mod;
    val[v] = oldval;
}

int main()
{
    ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);

    int t1, t2;
    cin >> n >> mod;
    if (n == 1)
    {
        cout << 1;
        return 0;
    }
    adj.assign(n, vi());
    for (int i = 1; i < n; i++)
    {
        cin >> t1 >> t2;
        t1--, t2--;
        adj[t1].pb(t2);
        adj[t2].pb(t1);
    }
    // dbg("here2");
    dfs1(0);
    // dbg(val, 0, n);
    dfs2(0);
    for (int i = 0; i < n; i++)
    {
        cout << ans[i] << el;
    }
}


Measured memory_bytes: 27052