/**
 * code generated by JHelper
 * More info: https://github.com/AlexeyDmitriev/JHelper
 * @author Giridhar Shanbhag
 */




#include <bits/stdc++.h>

using namespace std;

#define all(v) (v).begin(), (v).end()

using ll = long long;
using ull = unsigned long long;
using li = __int128;
using uli = unsigned __int128;
using ld = long double;
using pii = pair<int, int>;
using vi = vector<int>;

void doReplace() {
}

template<typename T, typename U, typename...Vs>
void doReplace(T &t, const U &u, Vs &&...vs) {
    t = u;
    doReplace(vs...);
}

template<typename T, typename...Us>
T minim(T &was, const T &cand, Us &&...us) {
    if (was > cand) {
        was = cand;
        doReplace(us...);
    }
    return was;
}

template<typename T, typename...Us>
T maxim(T &was, const T &cand, Us &&...us) {
    if (was < cand) {
        was = cand;
        doReplace(us...);
    }
    return was;
}


template<typename D>
D dPower(D base, ll exponent) {
    if (exponent < 0) {
        return dPower(1 / base, -exponent);
    }
    if (exponent == 0) {
        return 1;
    }
    if ((exponent & 1) == 1) {
        return dPower(base, exponent - 1) * base;
    } else {
        D res = dPower(base, exponent >> 1);
        return res * res;
    }
}


class NumberIterator : iterator<forward_iterator_tag, int> {
public:
    int v;

    NumberIterator(int v) : v(v) {}

    operator int &() { return v; }

    int operator*() { return v; }
};

class range : pii {
public:
    range(int begin, int end) : pii(begin, max(begin, end)) {}

    range(int n) : pii(0, max(0, n)) {}

    NumberIterator begin() {
        return first;
    }

    NumberIterator end() {
        return second;
    }
};


template<typename T>
class arr {
    T *b;
    int n;

    void allocate(int sz) {
#ifdef LOCAL
        if (sz < 0) {
            throw "bad alloc";
        }
#endif
        n = sz;
        if (sz > 0) {
            b = (T *) (::operator new(sz * sizeof(T)));
        } else {
            b = nullptr;
        }
    }

public:
    arr(int n = 0) {
        allocate(n);
#ifdef LOCAL
        view();
#endif
    }

    arr(int n, const T &init) {
        allocate(n);
        for (int i : range(n)) {
            ::new((void *) (b + i)) T(init);
        }
#ifdef LOCAL
        view();
#endif
    }

    arr(initializer_list<T> l) : arr(l.size()) {
        if (n > 0) {
            memcpy(b, l.begin(), n * sizeof(T));
        }
    }

    arr(T *b, int n) : arr(b, b + n) {}

    arr(T *b, T *e) : b(b), n(e - b) {}

    int size() const {
        return n;
    }

    T *begin() {
        return b;
    }

    const T *begin() const {
        return b;
    }

    T *end() {
        return b + n;
    }

    const T *end() const {
        return b + n;
    }

    arr<T> clone() const {
        arr<T> res(n);
        copy(b, b + n, res.begin());
        return res;
    }

    T &operator[](int at) {
#ifdef LOCAL
        if (at < 0 || at >= n) {
            throw "Out of bounds";
        }
#endif
        return b[at];
    }

    const T &operator[](int at) const {
#ifdef LOCAL
        if (at < 0 || at >= n) {
            throw "Out of bounds";
        }
#endif
        return b[at];
    }

    bool operator==(const arr &other) const {
        if (n != other.n) {
            return false;
        }
        for (int i : range(n)) {
            if (b[i] != other.b[i]) {
                return false;
            }
        }
        return true;
    }

    vector<T> view() {
        return vector<T>(b, b + min(n, 50));
    }
};

typedef arr<int> arri;

void decreaseByOne() {}

template<typename T, class...Vs>
void decreaseByOne(arr<T> &array, Vs &...vs) {
    int n = array.size();
    for (int i : range(n)) {
        array[i]--;
    }
    decreaseByOne(vs...);
}

template<typename T, typename U>
void decreaseByOne(arr<pair<T, U>> &v) {
    for (auto &p : v) {
        p.first--;
        p.second--;
    }
}


template<typename T>
class arr2d {
    T *b;
    int d1;
    int d2;
    int sz;

    void allocate(int n) {
#ifdef LOCAL
        if (n < 0) {
            throw "bad alloc";
        }
#endif
        if (n > 0) {
            b = (T *) (::operator new(n * sizeof(T)));
        } else {
            b = nullptr;
        }
    }

public:
    arr2d(int d1 = 0, int d2 = 0) : d1(d1), d2(d2), sz(d1 * d2) {
#ifdef LOCAL
        if (d1 < 0 || d2 < 0) {
            throw "bad alloc";
        }
#endif
        allocate(sz);
#ifdef LOCAL
        view();
#endif
    }

    arr2d(int d1, int d2, const T &init) : d1(d1), d2(d2), sz(d1 * d2) {
#ifdef LOCAL
        if (d1 < 0 || d2 < 0) {
            throw "bad alloc";
        }
#endif
        allocate(sz);
        for (int i : range(sz)) {
            ::new((void *) (b + i)) T(init);
        }
#ifdef LOCAL
        view();
#endif
    }

    arr2d(T *b, int d1, int d2) : b(b), d1(d1), d2(d2), sz(d1 * d2) {}

    int size() const {
        return sz;
    }

    int dim1() const {
        return d1;
    }

    int dim2() const {
        return d2;
    }

    T *begin() {
        return b;
    }

    T *end() {
        return b + sz;
    }

    T &operator()(int i1, int i2) {
#ifdef LOCAL
        if (i1 < 0 || i1 >= d1 || i2 < 0 || i2 >= d2) {
            throw "Out of bounds";
        }
#endif
        return b[i1 * d2 + i2];
    }

    const T &operator()(int i1, int i2) const {
#ifdef LOCAL
        if (i1 < 0 || i1 >= d1 || i2 < 0 || i2 >= d2) {
            throw "Out of bounds";
        }
#endif
        return b[i1 * d2 + i2];
    }

    T &operator[](const pii &p) {
        return operator()(p.first, p.second);
    }

    const T &operator[](const pii &p) const {
        return operator()(p.first, p.second);
    }

    arr<T> operator[](int at) {
#ifdef LOCAL
        if (at < 0 || at >= d1) {
            throw "Out of bounds";
        }
#endif
        return arr<T>(b + at * d2, d2);
    }

    vector<vector<T>> view() {
        vector<vector<T>> res(min(d1, 50));
        for (int i : range(res.size())) {
            res[i] = (*this)[i].view();
        }
        return res;
    }

    arr2d<T> clone() {
        arr2d<T> res(d1, d2);
        copy(b, b + sz, res.b);
        return res;
    }
};


inline bool isWhitespace(int c) {
    return isspace(c) || c == EOF;
}

class Input {
private:
    bool exhausted = false;
    int bufSize = 4096;
    char *buf = new char[bufSize];
    int bufRead = 0;
    int bufAt = 0;

public:
    inline int get() {
        if (exhausted) {
#ifdef LOCAL
            throw "Input exhausted";
#endif
            return EOF;
        }
        if (bufRead == bufAt) {
            bufRead = fread(buf, sizeof(char), bufSize, stdin);
            bufAt = 0;
        }
        if (bufRead == bufAt) {
            exhausted = true;
            return EOF;
        }
        return buf[bufAt++];
    }

    inline int peek() {
        if (exhausted) {
#ifdef LOCAL
            throw "Input exhausted";
#endif
            return EOF;
        }
        if (bufRead == bufAt) {
            bufRead = fread(buf, sizeof(char), bufSize, stdin);
            bufAt = 0;
        }
        if (bufRead == bufAt) {
            exhausted = true;
            return EOF;
        }
        return buf[bufAt];
    }

private:
    template<typename T>
    inline T readInteger() {
        int c = skipWhitespace();
        int sgn = 1;
        if (c == '-') {
            sgn = -1;
            c = get();
        }
        T res = 0;
        do {
            if (!isdigit(c)) {
#ifdef LOCAL
                throw "Number format error";
#endif
                return sgn * res;
            }
            res *= 10;
            res += c - '0';
            c = get();
        } while (!isWhitespace(c));
        return res * sgn;
    }

    void initArrays(int) {}

    template<typename T, class...Vs>
    void initArrays(int n, arr<T> &array, Vs &...vs) {
        array = arr<T>(n, T());
        initArrays(n, vs...);
    }

    template<typename T, class...Vs>
    void initArrays(int n, vector<T> &, Vs &...vs) {
        initArrays(n, vs...);
    }

    void readImpl(int) {}

    template<typename T, class...Vs>
    void readImpl(int i, arr<T> &arr, Vs &...vs) {
        arr[i] = readType<T>();
        readImpl(i, vs...);
    }

    template<typename T, class...Vs>
    void readImpl(int i, vector<T> &arr, Vs &...vs) {
        arr.push_back(readType<T>());
        readImpl(i, vs...);
    }

public:
    inline int skipWhitespace() {
        int c;
        while (isWhitespace(c = get()) && c != EOF);
        return c;
    }

    inline int peekNext() {
        while (isWhitespace(peek()) && peek() != EOF) {
            get();
        }
        return peek();
    }

    inline int readInt() {
        return readInteger<int>();
    }

    inline ll readLong() {
        return readInteger<ll>();
    }

    inline unsigned readUnsigned() {
        return readInteger<unsigned>();
    }

    string readString() {
        int c = skipWhitespace();
        if (c == EOF) {
#ifdef LOCAL
            throw "Input exhausted";
#endif
            return "";
        }
        string res;
        do {
            res.push_back(c);
        } while (!isWhitespace(c = get()));
        return res;
    }

    arri readIntArray(int size) {
        return readArray<int>(size);
    }

    arr<ll> readLongArray(int size) {
        return readArray<ll>(size);
    }

    arr<double> readDoubleArray(int size) {
        return readArray<double>(size);
    }

    arr<string> readStringArray(int size) {
        return readArray<string>(size);
    }

    arr<char> readCharArray(int size) {
        return readArray<char>(size);
    }

    template<typename T>
    T readType() {
        throw "Operation not supported";
    }

    template<typename U, typename V>
    pair<U, V> readType() {
        U first = readType<U>();
        V second = readType<V>();
        return make_pair(first, second);
    }

    template<typename T>
    arr<T> readArray(int n) {
        arr<T> res(n, T());
        for (int i : range(n)) {
            res[i] = readType<T>();
        }
        return res;
    }


    template<class...Vs>
    void readArrays(int n, Vs &...vs) {
        initArrays(n, vs...);
        for (int i : range(n)) {
            readImpl(i, vs...);
        }
    }

    template<typename U, typename V>
    arr<pair<U, V> > readArray(int n) {
        arr<pair<U, V> > res(n);
        for (int i : range(n)) {
            res[i] = readType<U, V>();
        }
        return res;
    }

    template<typename T>
    arr2d<T> readTable(int rows, int cols) {
        arr2d<T> result(rows, cols);
        for (int i : range(rows)) {
            for (int j : range(cols)) {
                result(i, j) = readType<T>();
            }
        }
        return result;
    }

    arr2d<int> readIntTable(int rows, int cols) {
        return readTable<int>(rows, cols);
    }

    arr2d<char> readCharTable(int rows, int cols) {
        return readTable<char>(rows, cols);
    }

    string readLine() {
        int c = get();
        if (c == EOF) {
#ifdef LOCAL
            throw "Input exhausted";
#endif
            return "";
        }
        string res;
        do {
            res.push_back(c);
            c = get();
        } while (c != '\n' && c != '\r' && c != EOF);
        return res;
    }

    inline double readDouble() {
        int c = skipWhitespace();
        int sgn = 1;
        if (c == '-') {
            sgn = -1;
            c = get();
        }
        double res = 0;
        do {
            if (tolower(c) == 'e') {
                return sgn * res * dPower(double(10), readInt());
            }
            if (!isdigit(c)) {
#ifdef LOCAL
                throw "Number format error";
#endif
                return sgn * res;
            }
            res *= 10;
            res += c - '0';
            c = get();
        } while (!isWhitespace(c) && c != '.');
        if (c == '.') {
            double add = 0;
            int length = 0;
            c = get();
            do {
                if (tolower(c) == 'e') {
                    return sgn * (res + add * dPower(double(10), -length)) * dPower(double(10), readInt());
                }
                if (!isdigit(c)) {
#ifdef LOCAL
                    throw "Number format error";
#endif
                    res += add * dPower(10, -length);
                    return res * sgn;
                }
                add *= 10;
                add += c - '0';
                length++;
                c = get();
            } while (!isWhitespace(c));
            res += add * dPower(double(10), -length);
        }
        return res * sgn;
    }

    inline char readChar() {
        int c = skipWhitespace();
        if (c == EOF) {
#ifdef LOCAL
            throw "Input exhausted";
#endif
            return 0;
        }
        return c;
    }

    inline bool isExhausted() { return exhausted; }

    inline void setBufSize(int newBufSize) {
        if (newBufSize > bufSize) {
            char *newBuf = new char[newBufSize];
            memcpy(newBuf, buf, bufSize);
            buf = newBuf;
        }
        bufSize = newBufSize;
    }
};

template<>
inline double Input::readType() {
    return readDouble();
}

template<>
inline int Input::readType() {
    return readInt();
}

template<>
inline ll Input::readType() {
    return readLong();
}

template<>
inline unsigned Input::readType() {
    return readUnsigned();
}

template<>
inline char Input::readType() {
    return readChar();
}

template<>
inline string Input::readType() {
    return readString();
}

Input in;


class Output {
private:
    ostream *out;

    template<typename T>
    inline void printSingle(const T &value) {
        *out << value;
    }

    template<typename T>
    void printSingle(const vector<T> &array) {
        size_t n = array.size();
        for (int i : range(n)) {
            *out << array[i];
            if (i + 1 != n) {
                *out << ' ';
            }
        }
    }

    template<typename T>
    void printSingle(const arr<T> &array) {
        int n = array.size();
        for (int i : range(n)) {
            *out << array[i];
            if (i + 1 != n) {
                *out << ' ';
            }
        }
    }

    template<typename T>
    void printSingle(const arr2d<T> &array) {
        size_t n = array.dim1();
        size_t m = array.dim2();
        for (int i : range(n)) {
            for (int j : range(m)) {
                *out << array(i, j);
                if (j + 1 != m) {
                    *out << ' ';
                }
            }
            if (i + 1 != n) {
                *out << '\n';
            }
        }
    }

    template<typename T, typename U>
    inline void printSingle(const pair<T, U> &value) {
        *out << value.first << ' ' << value.second;
    }

public:
    bool autoflush;

    Output(ostream &out, bool autoflush) : out(&out), autoflush(autoflush) {
        setPrecision(20);
    }

    void setOut(ostream &nOut) {
        out = &nOut;
        setPrecision(20);
    }

    inline void print() {}

    template<typename T, typename...Targs>
    inline void print(const T &first, const Targs... args) {
        printSingle(first);
        if (sizeof...(args) != 0) {
            *out << ' ';
            print(args...);
        }
        if (autoflush) {
            flush();
        }
    }

    template<typename...Targs>
    inline void printLine(const Targs... args) {
        print(args...);
        *out << '\n';
        if (autoflush) {
            flush();
        }
    }

    inline void flush() {
        out->flush();
    }

    inline void setPrecision(int digs) {
        *out << fixed << setprecision(digs);
    }
};

Output out(cout, false);
Output err(cerr, true);


const int MOD7 = 1000000007;
const int MOD9 = 1000000009;
const int MODF = 998244353;

int mod = MOD7;

ll gcd(ll a, ll b, ll &x, ll &y) {
    if (a == 0) {
        x = 0;
        y = 1;
        return b;
    }
    int d = gcd(b % a, a, y, x);
    x -= (b / a) * y;
    return d;
}

class modint {
public:
    int n;

    modint() : n(0) {}

    modint(ll n, bool special = false) {
        if (special) {
            this->n = -1;
            return;
        }
        if (n >= 0 && n < mod) {
            this->n = n;
            return;
        }
        n %= mod;
        if (n < 0) {
            n += mod;
        }
        this->n = n;
    }

    modint &operator+=(const modint &other) {
#ifdef LOCAL
        if (n == -1 || other.n == -1) {
            throw "Illegal state";
        }
#endif
        n += other.n;
        if (n >= mod) {
            n -= mod;
        }
        return *this;
    }

    modint &operator-=(const modint &other) {
#ifdef LOCAL
        if (n == -1 || other.n == -1) {
            throw "Illegal state";
        }
#endif
        n -= other.n;
        if (n < 0) {
            n += mod;
        }
        return *this;
    }

    modint &operator*=(const modint &other) {
#ifdef LOCAL
        if (n == -1 || other.n == -1) {
            throw "Illegal state";
        }
#endif
        n = ll(n) * other.n % mod;
        return *this;
    }

    modint &operator/=(const modint &other) {
#ifdef LOCAL
        if (other.n == 0) {
            throw "Division by zero";
        }
        if (n == -1 || other.n == -1) {
            throw "Illegal state";
        }
#endif
        return *this *= other.inverse();
    }

    modint operator-() {
#ifdef LOCAL
        if (n == -1) {
            throw "Illegal state";
        }
#endif
        if (n == 0) {
            return 0;
        }
        return modint(mod - n);
    }

    modint inverse() const {
#ifdef LOCAL
        if (n == -1) {
            throw "Illegal state";
        }
#endif
        ll x, y;
        ll g = gcd(ll(n), ll(mod), x, y);
#ifdef LOCAL
        if (g != 1) {
            throw "not inversable";
        }
#endif
        return x;
    }

    int log(modint alpha);
};

modint nullModint(-1, true);

modint operator+(const modint &a, const modint &b) {
    return modint(a) += b;
}

modint operator-(const modint &a, const modint &b) {
    return modint(a) -= b;
}

modint operator*(const modint &a, const modint &b) {
    return modint(a) *= b;
}

modint operator/(const modint &a, const modint &b) {
    return modint(a) /= b;
}

ostream &operator<<(ostream &out, const modint &val) {
    return out << val.n;
}

bool operator==(const modint &a, const modint &b) {
    return a.n == b.n;
}

bool operator!=(const modint &a, const modint &b) {
    return a.n != b.n;
}

namespace std {
    template<>
    struct hash<modint> {
        size_t operator()(const modint &n) const {
            return n.n;
        }
    };
}

int modint::log(modint alpha) {
#ifdef LOCAL
    if (n == -1 || alpha.n == -1) {
        throw "Illegal state";
    }
#endif
    unordered_map<modint, int> base;
    int exp = 0;
    modint pow = 1;
    modint inv = *this;
    modint alInv = alpha.inverse();
    while (exp * exp < mod) {
        if (inv == 1) {
            return exp;
        }
        base[inv] = exp++;
        pow *= alpha;
        inv *= alInv;
    }
    modint step = pow;
    for (int i = 1;; i++) {
        if (base.count(pow)) {
            return exp * i + base[pow];
        }
        pow *= step;
    }
}


template<class Edge>
class Graph {
public:
    int vertexCount;
    int edgeCount = 0;
private:
    vector<vector<Edge>> edges;

public:
    Graph(int vertexCount) : vertexCount(vertexCount), edges(vertexCount, vector<Edge>()) {}

    template<typename...Ts>
    int addEdge(int from, int to, Ts... args) {
#ifdef LOCAL
        if (from < 0 || to < 0 || from >= vertexCount || to >= vertexCount) {
            throw "Out of bounds";
        }
#endif
        edges[from].emplace_back(to, edgeCount, args...);
        int directId = edges[from].size() - 1;
        if (Edge::reversable) {
            edges[to].push_back(edges[from][directId].reverseEdge(from));
            int revId = edges[to].size() - 1;
            edges[from][directId].setReverseId(revId);
            edges[to][revId].setReverseId(directId);
        }
        edgeCount++;
        return directId;
    }

    vector<Edge> &operator[](int at) {
        return edges[at];
    }

    void addVertices(int count) {
        vertexCount += count;
        edges.resize(vertexCount);
    }

    void clear() {
        edgeCount = 0;
        for (int i : range(vertexCount)) {
            edges[i].clear();
        }
    }
};


class BaseEdge {
public:
    const static bool reversable = false;
    int to;
    int id;

    BaseEdge(int to, int id) : to(to), id(id) {
    }

    BaseEdge reverseEdge(int) {
        throw "Unsupported operation exception";
    }

    void setReverseId(int) {
        throw "Unsupported operation exception";
    }
};


class BiEdge : public BaseEdge {
public:
    const static bool reversable = true;
    int rev;

    BiEdge(int to, int id) : BaseEdge(to, id) {
    }

    void setReverseId(int revId) {
        rev = revId;
    }

    BiEdge reverseEdge(int from) {
        return BiEdge(from, id);
    }

    BiEdge &reverseEdge(Graph<BiEdge> &graph) {
        return graph[to][rev];
    }
};


template<typename T>
class RecursiveFunction {
    T t;

public:
    RecursiveFunction(T &&t) : t(forward<T>(t)) {}

    template<typename... Args>
    auto operator()(Args &&... args) const {
        return t(*this, forward<Args>(args)...);
    }
};


class ReverseNumberIterator : public NumberIterator {
public:
    ReverseNumberIterator(int v) : NumberIterator(v) {}

    ReverseNumberIterator &operator++() {
        --v;
        return *this;
    }
};

class RevRange : pii {
public:
    RevRange(int begin, int end) : pii(begin - 1, min(begin, end) - 1) {}

    RevRange(int n) : pii(n - 1, min(n, 0) - 1) {}

    ReverseNumberIterator begin() {
        return first;
    }

    ReverseNumberIterator end() {
        return second;
    }
};


class VSubtree {
public:
    void solve() {
        int N = in.readInt(), M = in.readInt();
        mod = M;
        arri u, v;
        in.readArrays(N - 1, u, v);
        decreaseByOne(u, v);
        Graph<BiEdge> graph(N);
        for (int i : range(N - 1)) {
            graph.addEdge(u[i], v[i]);
        }
        arr<modint> dp(N), ans(N);
        RecursiveFunction dfs1 = [&](auto const &self, int u, int p) -> void {
            dp[u] = modint(1);
            for (auto &e : graph[u]) {
                int v = e.to;
                if (v == p) {
                    continue;
                }
                self(v, u);
                dp[u] *= dp[v];
            }
            dp[u] += modint(1);
        };
        RecursiveFunction dfs2 = [&](auto const &self, int u, int p, modint ways) -> void {
            vector<modint> P, S;
            P.emplace_back(modint(1));
            for (auto &e : graph[u]) {
                int v = e.to;
                if (v == p) {
                    continue;
                }
                P.emplace_back(dp[v]);
                S.emplace_back(dp[v]);
            }
            S.emplace_back(modint(1));
            for (int i : range(1, (int) P.size())) {
                P[i] *= P[i - 1];
            }
            for (int i : RevRange((int) S.size() - 1, 0)) {
                S[i] *= S[i + 1];
            }
            ans[u] = P.back() * ways;
            int i = 0;
            for (auto &e : graph[u]) {
                int v = e.to;
                if (v == p) {
                    continue;
                }
                self(v, u, P[i] * S[i + 1] * ways + modint(1));
                ++i;
            }
        };
        dfs1(0, -1);
        dfs2(0, -1, modint(1));
        for (int i : range(N)) {
            out.printLine(ans[i]);
        }
    }
};

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(0);
#ifdef LOCAL_RELEASE
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
    auto time = clock();
#endif
    VSubtree solver;
    solver.solve();
    fflush(stdout);
#ifdef LOCAL_RELEASE
    cerr << setprecision(3) << double(clock() - time) / CLOCKS_PER_SEC << endl;
#endif
    return 0;
}


Measured memory_bytes: 28348