/* #region Head */

#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pll = pair<ll, ll>;
template <class T> using vc = vector<T>;
template <class T> using vvc = vc<vc<T>>;
using vll = vc<ll>;
using vvll = vvc<ll>;
using vld = vc<ld>;
using vvld = vvc<ld>;
using vs = vc<string>;
using vvs = vvc<string>;
template <class T, class U> using um = unordered_map<T, U>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqa = priority_queue<T, vc<T>, greater<T>>;
template <class T> using us = unordered_set<T>;

#define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i))
#define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i))
#define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i))
#define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d))
#define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d))
#define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++)
#define ALL(x) begin(x), end(x)
#define SIZE(x) ((ll)(x).size())
#define PERM(c)                                                                                                        \
    sort(ALL(c));                                                                                                      \
    for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c)))
#define UNIQ(v) v.erase(unique(ALL(v)), v.end());

#define endl '\n'
#define sqrt sqrtl
#define floor floorl
#define log2 log2l

constexpr ll INF = 1'010'000'000'000'000'017LL;
constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7
constexpr ld EPS = 1e-12;
constexpr ld PI = 3.14159265358979323846;

template <typename T> istream &operator>>(istream &is, vc<T> &vec) { // vector 入力
    for (T &x : vec) is >> x;
    return is;
}
template <typename T> ostream &operator<<(ostream &os, vc<T> &vec) { // vector 出力 (for dump)
    os << "{";
    REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", ");
    os << "}";
    return os;
}
template <typename T> ostream &operator>>(ostream &os, vc<T> &vec) { // vector 出力 (inline)
    REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " ");
    return os;
}

template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &pair_var) { // pair 入力
    is >> pair_var.first >> pair_var.second;
    return is;
}
template <typename T, typename U> ostream &operator<<(ostream &os, pair<T, U> &pair_var) { // pair 出力
    os << "(" << pair_var.first << ", " << pair_var.second << ")";
    return os;
}

// map, um, set, us 出力
template <class T> ostream &out_iter(ostream &os, T &map_var) {
    os << "{";
    REPI(itr, map_var) {
        os << *itr;
        auto itrcp = itr;
        if (++itrcp != map_var.end()) os << ", ";
    }
    return os << "}";
}
template <typename T, typename U> ostream &operator<<(ostream &os, map<T, U> &map_var) { return out_iter(os, map_var); }
template <typename T, typename U> ostream &operator<<(ostream &os, um<T, U> &map_var) {
    os << "{";
    REPI(itr, map_var) {
        auto [key, value] = *itr;
        os << "(" << key << ", " << value << ")";
        auto itrcp = itr;
        if (++itrcp != map_var.end()) os << ", ";
    }
    os << "}";
    return os;
}
template <typename T> ostream &operator<<(ostream &os, set<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, us<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, pq<T> &pq_var) {
    pq<T> pq_cp(pq_var);
    os << "{";
    if (!pq_cp.empty()) {
        os << pq_cp.top(), pq_cp.pop();
        while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop();
    }
    return os << "}";
}

// dump
#define DUMPOUT cerr
void dump_func() { DUMPOUT << endl; }
template <class Head, class... Tail> void dump_func(Head &&head, Tail &&... tail) {
    DUMPOUT << head;
    if (sizeof...(Tail) > 0) DUMPOUT << ", ";
    dump_func(move(tail)...);
}

// chmax (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmax(T &xmax, const U &x, Comp comp = {}) {
    if (comp(xmax, x)) {
        xmax = x;
        return true;
    }
    return false;
}

// chmin (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmin(T &xmin, const U &x, Comp comp = {}) {
    if (comp(x, xmin)) {
        xmin = x;
        return true;
    }
    return false;
}

// ローカル用
#define DEBUG_

#ifdef DEBUG_
#define DEB
#define dump(...)                                                                                                      \
    DUMPOUT << "  " << string(#__VA_ARGS__) << ": "                                                                    \
            << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl                                        \
            << "    ",                                                                                                 \
        dump_func(__VA_ARGS__)
#else
#define DEB if (false)
#define dump(...)
#endif

struct AtCoderInitialize {
    static constexpr int IOS_PREC = 15;
    static constexpr bool AUTOFLUSH = false;
    AtCoderInitialize() {
        ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
        cout << fixed << setprecision(IOS_PREC);
        if (AUTOFLUSH) cout << unitbuf;
    }
} ATCODER_INITIALIZE;

void Yn(bool p) { cout << (p ? "Yes" : "No") << endl; }
void YN(bool p) { cout << (p ? "YES" : "NO") << endl; }

/* #endregion */

/* #region mint2 */

// 自動で mod を取る整数 (mod を動的に決める版)
struct mint {
    ll mod;
    ll x;
    mint(ll mod, ll x) : mod(mod), x((x % mod + mod) % mod) {}
    mint(const mint &another) : mod(another.mod), x(another.x) {}
    mint() : mod(0), x(0) {}
    mint &operator+=(const mint a) {
        assert(a.mod == mod);
        if ((x += a.x) >= mod) x -= mod;
        return *this;
    }
    mint &operator+=(const ll a) {
        if ((x += a % mod) >= mod) x -= mod;
        return *this;
    }
    mint &operator-=(const mint a) {
        assert(a.mod == mod);
        if ((x += mod - a.x) >= mod) x -= mod;
        return *this;
    }
    mint &operator-=(const ll a) {
        if ((x += mod - (a % mod)) >= mod) x -= mod;
        return *this;
    }
    mint &operator*=(const mint a) {
        assert(a.mod == mod);
        (x *= a.x) %= mod;
        return *this;
    }
    mint &operator*=(const ll a) {
        // (x *= a % mod) %= mod;
        *this *= mint(mod, a);
        return *this;
    }
    mint operator+(const mint a) const {
        mint res(*this);
        return res += a;
    }
    mint operator+(const ll a) const {
        mint res(*this);
        return res += a;
    }
    mint operator-(const mint a) const {
        mint res(*this);
        return res -= a;
    }
    mint operator-(const ll a) const {
        mint res(*this);
        return res -= a;
    }
    mint operator*(const mint a) const {
        mint res(*this);
        return res *= a;
    }
    mint operator*(const ll a) const {
        mint res(*this);
        return res *= a;
    }
    // O(log(t))
    mint pow(ll t) const {
        if (!t) return mint(mod, 1);
        mint a = pow(t >> 1); // ⌊t/2⌋ 乗
        a *= a;               // ⌊t/2⌋*2 乗
        if (t & 1)            // ⌊t/2⌋*2 == t-1 のとき
            a *= *this;       // ⌊t/2⌋*2+1 乗 => t 乗
        return a;
    }

    // for prime mod
    mint inv() const {
        return pow(mod - 2); // オイラーの定理から， x^(-1) ≡ x^(p-2)
    }
    mint &operator/=(const mint a) { return (*this) *= a.inv(); }
    mint &operator/=(const ll a) { return (*this) *= mint(mod, a).inv(); }
    mint operator/(const mint a) const {
        mint res(*this);
        return res /= a;
    }
    mint operator/(const ll a) const {
        mint res(*this);
        return res /= a;
    }
    bool operator==(const mint a) const { return this->x == a.x; }
    bool operator==(const ll a) const { return this->x == a % mod; }

    // mint 入力
    friend istream &operator>>(istream &is, mint &x) {
        is >> x.x;
        return is;
    }

    // mint 出力
    friend ostream &operator<<(ostream &os, mint x) {
        os << x.x;
        return os;
    }
};

/* #endregion */

/* #region ReRooting */

template <class T> class ReRooting {
  public:
    int n; // node cnt

  private:
    T ti; // identity
    function<T(T, T)> merge;
    function<T(T, int)> addNode;
    vc<vc<int>> adjs, idxForAdjs; // adjacents
    vc<vc<T>> dp;
    vc<T> res;

  public:
    ReRooting(int n, vc<vc<int>> edges, T ti, function<T(T, T)> merge, function<T(T, int)> addNode)
        : n(n), ti(ti), merge(merge), addNode(addNode), adjs(n), idxForAdjs(n), dp(n), res(n) {
        for (vc<int> &edge : edges) {
            idxForAdjs[edge[0]].push_back(SIZE(adjs[edge[1]]));
            idxForAdjs[edge[1]].push_back(SIZE(adjs[edge[0]]));
            adjs[edge[0]].push_back(edge[1]);
            adjs[edge[1]].push_back(edge[0]);
        }
        REP(i, 0, SIZE(adjs)) dp[i].resize(SIZE(adjs[i]));
        if (n > 1)
            init();
        else if (n == 1)
            res[0] = addNode(ti, 0);
    }

    T query(int node) { return res[node]; }

  private:
    void init() {
        vc<int> parents(n);
        vc<int> order(n);

        { // 行きがけ順の記録
            int index = 0;
            stack<int> stack;
            stack.push(0);
            parents[0] = -1;
            while (stack.size() > 0) {
                int node = stack.top();
                stack.pop();
                order[index++] = node;
                for (int adjacent : adjs[node]) {
                    if (adjacent == parents[node]) continue;
                    stack.push(adjacent);
                    parents[adjacent] = node;
                }
            }
        }

        { // 帰りがけ順で部分木の値を求めていく
            REPR(i, SIZE(order) - 1, 1) {
                int node = order[i], parent = parents[node];

                T accum = ti;
                int parentIndex = -1;
                REP(j, 0, SIZE(adjs[node])) {
                    if (adjs[node][j] == parent)
                        parentIndex = j;
                    else
                        accum = merge(accum, dp[node][j]);
                }
                dp[parent][idxForAdjs[node][parentIndex]] = addNode(accum, node);
            }
        }

        // 行きがけ順で頂点の値を確定させていく
        for (int node : order) {
            int sz = SIZE(adjs[node]);
            T accum = ti;
            vc<T> accumsFromTail(sz);
            accumsFromTail[sz - 1] = ti;
            REPR(j, sz - 1, 1) accumsFromTail[j - 1] = merge(dp[node][j], accumsFromTail[j]);
            REP(j, 0, sz) {
                dp[adjs[node][j]][idxForAdjs[node][j]] = addNode(merge(accum, accumsFromTail[j]), node);
                accum = merge(accum, dp[node][j]);
            }
            res[node] = addNode(accum, node);
        }
    } // end init
};

/* #endregion */

// Problem
void solve() {
    ll n, m;
    cin >> n >> m;
    vc<int> x(n - 1), y(n - 1);
    REP(i, 0, n - 1) {
        cin >> x[i] >> y[i];
        --x[i], --y[i];
    }

    vvc<int> edges(n - 1);
    REP(i, 0, n - 1) edges[i] = {x[i], y[i]};

    auto merge = [](mint s, mint t) -> mint { return s * t; }; // 部分木のマージ
#pragma GCC diagnostic ignored "-Wunused-parameter"
    auto addNode = [](mint val, int id) -> mint { return val + 1; }; // 頂点の追加
#pragma GCC diagnostic warning "-Wunused-parameter"
    // dump(m, edges);
    ReRooting<mint> rr(n, edges, mint(m, 1LL), merge, addNode);
    // dump(1);

    REP(i, 0, n) cout << (rr.query(i) - 1) << endl;
}

// entry point
int main() {
    solve();
    return 0;
}


Measured memory_bytes: 37988