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


#define li          long long int
#define rep(i,to)   for(li i=0;i<((li)(to));i++)
#define repp(i,start,to)    for(li i=(li)(start);i<((li)(to));i++)
#define pb          push_back
#define sz(v)       ((li)(v).size())
#define bgn(v)      ((v).begin())
#define eend(v)     ((v).end())
#define allof(v)    (v).begin(), (v).end()
#define dodp(v,n)       memset(v,(li)n,sizeof(v))
#define bit(n)      (1ll<<(li)(n))
#define mp(a,b)     make_pair(a,b)
#define rin rep(i,n)
#define EPS 1e-12
#define ETOL 1e-8
#define MOD 1000000007
typedef pair<li, li> PI;

#define INF bit(60)

#define DBGP 1


#define idp if(DBGP)
#define F first
#define S second
#define p2(a,b)     idp cout<<a<<"\t"<<b<<endl
#define p3(a,b,c)       idp cout<<a<<"\t"<<b<<"\t"<<c<<endl
#define p4(a,b,c,d)     idp cout<<a<<"\t"<<b<<"\t"<<c<<"\t"<<d<<endl
#define p5(a,b,c,d,e)       idp cout<<a<<"\t"<<b<<"\t"<<c<<"\t"<<d<<"\t"<<e<<endl
#define p6(a,b,c,d,e,f)     idp cout<<a<<"\t"<<b<<"\t"<<c<<"\t"<<d<<"\t"<<e<<"\t"<<f<<endl
#define p7(a,b,c,d,e,f,g)       idp cout<<a<<"\t"<<b<<"\t"<<c<<"\t"<<d<<"\t"<<e<<"\t"<<f<<"\t"<<g<<endl
#define p8(a,b,c,d,e,f,g,h)     idp cout<<a<<"\t"<<b<<"\t"<<c<<"\t"<<d<<"\t"<<e<<"\t"<<f<<"\t"<<g<<"\t"<<h<<endl
#define p9(a,b,c,d,e,f,g,h,i)       idp cout<<a<<"\t"<<b<<"\t"<<c<<"\t"<<d<<"\t"<<e<<"\t"<<f<<"\t"<<g<<"\t"<<h<<"\t"<<i<<endl
#define p10(a,b,c,d,e,f,g,h,i,j)        idp cout<<a<<"\t"<<b<<"\t"<<c<<"\t"<<d<<"\t"<<e<<"\t"<<f<<"\t"<<g<<"\t"<<h<<"\t"<<i<<"\t"<<j<<endl
#define foreach(it,v)   for(__typeof((v).begin()) it=(v).begin(); it!=(v).end(); ++it)
#define p2p(x)      idp p2((x).F, (x).S)
#define dump(x,n)   idp{rep(i,n){cout<<x[i]<<" ";}puts("");}
#define dump2(x,n)  idp{rep(i,n){cout<<"["<<x[i].F<<" , "<<x[i].S<<"] ";}puts("");}
#define dumpi(x)    idp{foreach(it, x){cout<<(*it)<<" ";}puts("");}
#define dumpi2(x)   idp{foreach(it, x){cout<<"["<<(it)->F<<" , "<<(it)->S<<"] ";}puts("");}

#define read2d(a,w,h)   rep(i,h)rep(j,w)cin>>a[i][j]
#define dump2d(a,w,h)   rep(i,h){rep(j,w)cout<<a[i][j]<<" ";puts("");}

li n;
li k;
vector<li> edges[100100];

inline li npk(li nn, li kk) {
    if (nn < kk) {
        return 0;
    }
    li res = 1;
    for (li x = nn; x > nn - kk; x--) {
        res = (res * x) % MOD;
    }
    return res;
}

int main() {
    cin >> n >> k;
    rep(i, n - 1) {
        li a, b;
        cin >> a >> b;
        a--;
        b--;
        edges[a].pb(b);
        edges[b].pb(a);
    }

    // run DFS
    // {now, from, depth}
    stack<pair<PI, li>> stk;
    stk.push({{0, -1}, 0});
    li res = k;
    while (!stk.empty()) {
        li now = stk.top().F.F;
        li prev = stk.top().F.S;
        li depth = stk.top().S;
        stk.pop();
        li dim = edges[now].size();
        if (prev >= 0) {
            dim--;
        }
        // nowを塗るのに使える色数
        li num_free_color = k - min(depth, 2ll);
        // これはnowが子供側を計算する
        //res = (res * num_free_color) % MOD;

        li num_free_child_color = k - 1 - min(depth, 1ll);
        //p4(now, num_free_child_color, dim, npk(num_free_child_color, dim));
        res = (res * npk(num_free_child_color, dim)) % MOD;
        for (auto && next : edges[now]) {
            if (next == prev) continue;
            stk.push({{next, now}, depth + 1});
        }
    }
    cout << res << endl;

    return 0;
}

Measured memory_bytes: 8948