#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (n); i++)
#define rep2(i, x, n) for (int i = x; i < (n); i++)
#define all(n) begin(n), end(n)
struct cww
{
    cww()
    {
        ios::sync_with_stdio(false);
        cin.tie(0);
    }
} star;
const long long INF = numeric_limits<long long>::max();
typedef long long ll;
typedef vector<int> vint;
typedef vector<char> vchar;
typedef vector<vector<int>> vvint;
typedef vector<ll> vll;
typedef vector<vector<ll>> vvll;
typedef unsigned long long ull;
template <class T>
bool chmax(T &a, const T &b)
{
    if (a < b)
    {
        a = b;
        return 1;
    }
    return 0;
}
template <class T>
bool chmin(T &a, const T &b)
{
    if (b < a)
    {
        a = b;
        return 1;
    }
    return 0;
}
template <typename T>
vector<T> make_v(size_t a) { return vector<T>(a); }

template <typename T, typename... Ts>
auto make_v(size_t a, Ts... ts)
{
    return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}
template <typename T, typename V>
typename enable_if<is_class<T>::value == 0>::type
fill_v(T &t, const V &v) { t = v; }

template <typename T, typename V>
typename enable_if<is_class<T>::value != 0>::type
fill_v(T &t, const V &v)
{
    for (auto &e : t)
        fill_v(e, v);
}
template <long long mod>
struct ModInt
{
    long long x;

    ModInt() : x(0) {}

    ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

    ModInt &operator+=(const ModInt &p)
    {
        if ((x += p.x) >= mod)
            x -= mod;
        return *this;
    }

    ModInt &operator-=(const ModInt &p)
    {
        if ((x += mod - p.x) >= mod)
            x -= mod;
        return *this;
    }

    ModInt &operator*=(const ModInt &p)
    {
        x = (int)(1LL * x * p.x % mod);
        return *this;
    }

    ModInt &operator/=(const ModInt &p)
    {
        *this *= p.inverse();
        return *this;
    }

    ModInt operator-() const { return ModInt(-x); }

    ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }

    ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }

    ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }

    ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }

    bool operator==(const ModInt &p) const { return x == p.x; }

    bool operator!=(const ModInt &p) const { return x != p.x; }

    ModInt inverse() const
    {
        long long a = x, b = mod, u = 1, v = 0, t;
        while (b > 0)
        {
            t = a / b;
            swap(a -= t * b, b);
            swap(u -= t * v, v);
        }
        return ModInt(u);
    }

    ModInt pow(int64_t n) const
    {
        ModInt ret(1), mul(x);
        while (n > 0)
        {
            if (n & 1)
                ret *= mul;
            mul *= mul;
            n >>= 1;
        }
        return ret;
    }

    friend ostream &operator<<(ostream &os, const ModInt &p)
    {
        return os << p.x;
    }

    friend istream &operator>>(istream &is, ModInt &a)
    {
        int64_t t;
        is >> t;
        a = ModInt<mod>(t);
        return (is);
    }

    static long long get_mod() { return mod; }
    static ModInt factorial(ll n)
    {
        if (n == 0)
            return 1;
        ModInt<mod> tmp(n);
        for (int i = 1; i < n; i++)
        {
            tmp *= ModInt<mod>(n - i);
        }
        return tmp;
    }
    static ModInt Combination(ll n, ll k)
    {
        return factorial(n) / (factorial(n - k) * factorial(k));
    }
};

using mint = ModInt<(int)1e9 + 7>;
int N, K;
vvint graph;
vector<mint> per1,per2;
vector<int> res;
mint ans=1;
mint dfs(int cur = 0, int prev = -1)
{
    int deg = graph[cur].size();
    if(prev==-1)
    deg++;
    mint tmp = per2[deg - 1];
    if (prev == -1)
    {
        tmp = per1[deg-1];
    }

    for (auto &&i : graph[cur])
    {
        if(i != prev)
        tmp *= dfs(i,cur);
    }
    res[cur]=tmp.x;
    return tmp;
}
int main()
{

    cin >> N >> K;
    if (K == 1 and N > 1)
    {
        cout << 0;
        return 0;
    }
    graph.resize(N);
    per2.resize(N + 2);
    per1.resize(N+2);
    res.resize(N+1);
    int a, b;

    per2[0] = 1;
    per1[0]=1;
    for (size_t i = 0; i < N + 1; i++)
    {
        per2[i + 1] = per2[i] * (K - i - 2);
        per1[i+1]=per1[i]*(K-i-1);
    }
    for (size_t i = 0; i < N - 1; i++)
    {
        cin >> a >> b;
        a--;
        b--;
        graph[a].push_back(b);
        graph[b].push_back(a);
    }


    cout << mint(K)*dfs();
    return 0;
}

Measured memory_bytes: 13568