#pragma region Macros #pragma GCC optimize("O3") #include #define ll long long #define ld long double #define rep2(i,a,b) for(ll i=a;i<=b;++i) #define rep(i,n) for(ll i=0;i=b;--i) #define pii pair #define pll pair #define pb push_back #define eb emplace_back #define vi vector #define vec vector #define vll vector #define vpi vector #define vpll vector #define overload2(_1,_2,name,...) name #define vv(a,b) vector>(a,vector(b)) #define vv2(a,b,c) vector>(a,vector(b,c)) #define vvl(a,b) vector>(a,vector(b)) #define vvl2(a,b,c) vector>(a,vector(b,c)) #define vvv(a,b,c) vector(a) #define vvv2(a,b,c,d) vector(a) #define vvvl(a,b,c) vector(a) #define vvvl2(a,b,c,d) vector(a) #define fi first #define se second #define all(c) begin(c),end(c) #define ios ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0); #define lb(c,x) distance((c).begin(),lower_bound(all(c),(x))) #define ub(c,x) distance((c).begin(),upper_bound(all(c),(x))) using namespace std; template using pq = priority_queue; template using pqg = priority_queue,greater>; #define Size(c) (int)(c).size() #define INT(...) int __VA_ARGS__;IN(__VA_ARGS__) #define LL(...) ll __VA_ARGS__;IN(__VA_ARGS__) #define ULL(...) ull __VA_ARGS__;IN(__VA_ARGS__) #define STR(...) string __VA_ARGS__;IN(__VA_ARGS__) #define CHR(...) char __VA_ARGS__;IN(__VA_ARGS__) #define DBL(...) double __VA_ARGS__;IN(__VA_ARGS__) #define LD(...) ld __VA_ARGS__;IN(__VA_ARGS__) #define VEC(type,name,size) vector name(size);IN(name) #define VV(type,name,h,w) vector>name(h,vector(w));IN(name) int scan(){ return getchar(); } void scan(int& a){ cin>>a; } void scan(long long& a){ cin>>a; } void scan(char &a){cin>>a;} void scan(double &a){ cin>>a; } void scan(long double& a){ cin>>a; } void scan(char a[]){ scanf("%s", a); } void scan(string& a){ cin >> a; } template void scan(vector&); template void scan(array&); template void scan(pair&); template void scan(T(&)[size]); template void scan(vector& a){ for(auto& i : a) scan(i); } template void scan(deque& a){ for(auto& i : a) scan(i); } template void scan(array& a){ for(auto& i : a) scan(i); } template void scan(pair& p){ scan(p.first); scan(p.second); } template void scan(T (&a)[size]){ for(auto& i : a) scan(i); } template void scan(T& a){ cin >> a; } void IN(){} template void IN(Head& head, Tail&... tail){ scan(head); IN(tail...); } string stin() {string s;cin>>s;return s;} template inline bool chmax(T& a,T b){if(a inline bool chmin(T& a,T b){if(a>b){a=b;return 1;}return 0;} vi iota(int n){vi a(n);iota(all(a),0);return a;} template void UNIQUE(vector &x){sort(all(x));x.erase(unique(all(x)),x.end());} int in() {int x;cin>>x;return x;} ll lin() {unsigned long long x;cin>>x;return x;} void print(){putchar(' ');} void print(bool a){cout< void print(const vector&); template void print(const array&); template void print(const pair& p); template void print(const T (&)[size]); template void print(const vector& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ cout<<" "; print(*i); } cout< void print(const deque& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ cout<<" "; print(*i); } } template void print(const array& a){ print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ cout<<" "; print(*i); } } template void print(const pair& p){ cout<<'(';print(p.first); cout<<","; print(p.second);cout<<')'; } template void print(set &x){for(auto e:x)print(e),cout<<" ";cout< void print(const T (&a)[size]){ print(a[0]); for(auto i = a; ++i != end(a); ){ cout<<" "; print(*i); } } template void print(const T& a){ cout << a; } int out(){ putchar('\n'); return 0; } template int out(const T& t){ print(t); putchar('\n'); return 0; } template int out(const Head& head, const Tail&... tail){ print(head); putchar(' '); out(tail...); return 0; } ll gcd(ll a, ll b){ a = abs(a),b = abs(b);while(b){ ll c = b; b = a % b; a = c; } return a; } ll lcm(ll a, ll b){ if(!a || !b) return 0; return a * b / gcd(a, b); } vector factor(ll x){ vector ans; for(ll i = 2; i * i <= x; i++) if(x % i == 0){ ans.push_back({i, 1}); while((x /= i) % i == 0) ans.back().second++; } if(x != 1) ans.push_back({x, 1}); return ans; } vector divisor(int x){ vector ans; for(int i=1;i*i<=x;i++)if(x%i==0){ans.pb(i);if(i*i!=x)ans.pb(x/i);} return ans;} int popcount(ll x){return __builtin_popcountll(x);} mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); int rnd(int n){return uniform_int_distribution(0, n-1)(rng);} #define endl '\n' #ifdef _LOCAL #undef endl #define debug(x) cout<<#x<<": ";print(x);cout< void err(const T& t){ print(t); cout<<" ";} template void err(const Head& head, const Tail&... tail){ print(head); putchar(' '); out(tail...); } #else #define debug(x) template void err(const T&...){} #endif struct Setup_io{ Setup_io(){ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0);cout< struct edge{ int from, to,id; T cost; edge(int to,T cost) : from(-1), to(to), cost(cost){} edge(int from,int to,T cost) : from(from), to(to), cost(cost){} edge(int from,int to,T cost,int id):from(from),to(to),cost(cost){} edge &operator=(const int &x) { to = x; return *this; } operator int() const{ return to;} }; template< typename T > using Edges = vector< edge< T > >; template< typename T > using WeightedTree = vector< Edges>; using tree = vector< vector >; tree make(int n,int offset = 1){ tree res(n); for(int i = 0;i < n-1; i++){ int a,b; cin >> a >> b; a -= offset,b -= offset; res[a].emplace_back(b); res[b].emplace_back(a); } return res; } template< typename T > WeightedTree make2(int n, int offset = 1){ WeightedTree res(n); for(int i = 0;i < n-1 ; i++){ int a,b ; cin >> a >> b; a -= offset, b -= offset; T c; cin >> c; res[a].emplace_back(b,c); res[b].emplace_back(a,c); } return res; } const ll MOD=1e9+7; const int N=1100000; template class modint { using u64 = ll; public: u64 a; constexpr modint(const u64 x = 0) noexcept : a(((x % Modulus) + Modulus)%Modulus) {} constexpr u64 &value() noexcept { return a; } constexpr const u64 &value() const noexcept { return a; } constexpr modint operator+(const modint rhs) const noexcept { return modint(*this) += rhs; } constexpr modint operator-(const modint rhs) const noexcept { return modint(*this) -= rhs; } constexpr modint operator*(const modint rhs) const noexcept { return modint(*this) *= rhs; } constexpr modint operator/(const modint rhs) const noexcept { return modint(*this) /= rhs; } constexpr modint &operator+=(const modint rhs) noexcept { a += rhs.a; if (a >= Modulus) { a -= Modulus; } return *this; } constexpr modint &operator-=(const modint rhs) noexcept { if (a < rhs.a) { a += Modulus; } a -= rhs.a; return *this; } constexpr modint &operator*=(const modint rhs) noexcept { a = a * rhs.a % Modulus; return *this; } constexpr modint &operator/=(modint rhs) noexcept { u64 exp = Modulus - 2; while (exp) { if (exp % 2) { *this *= rhs; } rhs *= rhs; exp /= 2; } return *this; } }; #define mint modint mint inv[N],comb[N],prd[N],invprd[N]; void calc_inv(){ inv[1]=1; rep2(i,2,N-1){ inv[i]=inv[MOD%i]*(-MOD/i); } return; } void calc_product(){ prd[0]=prd[1]=1; invprd[0]=invprd[1]=1; rep2(i,2,N-1){ prd[i]=prd[i-1]*i; invprd[i]=inv[i]*invprd[i-1]; } return ; } mint cmb(int a,int b){ if(a ; ostream& operator<<(ostream& os, mint a){ os << a.a ; return os; } template< typename G > G convert_rooted_tree(const G &g, int r = 0) { int N = (int) g.size(); G rg(N); vector< int > v(N); v[r] = 1; queue< int > que; que.emplace(r); while(!que.empty()) { auto p = que.front(); que.pop(); for(auto &to : g[p]) { if(v[to] == 0) { v[to] = 1; que.emplace(to); rg[p].emplace_back(to); } } } return rg; } main(){ INT(n,k); auto _g = make(n); auto g = convert_rooted_tree(_g); calc(); vector dp(n,vmint(k,1)); { auto dfs = [&](auto &&f,int x,int p)->void{ for(auto e:g[x]){ f(f,e,x); rep(i,k) dp[x][i] *= dp[e][i]; } rep(i,k-1) dp[x][i+1] += dp[x][i]; }; dfs(dfs,0,-1); } mint ans; { auto dfs = [&](auto &&f,int x,int p,vmint res)->void{ int m= g[x].size(); vector l,r; { l.eb(vmint(k,1)); r.eb(vmint(k,1)); } for(auto e:g[x]){ l.eb(vmint(k)); rep(i,k){ l.back()[i] = l[l.size()-2][i] * dp[e][i]; } } reverse(all(g[x])); for(auto e:g[x]){ r.eb(vmint(k)); rep(i,k){ r.back()[i] = r[r.size()-2][i] * dp[e][i]; } } if(x) rep2(i,1,k-1) ans += l.back()[i] * res[i-1]; else rep(i,k) ans += l.back()[i]; reverse(all(g[x])); reverse(all(r)); rep(j,g[x].size()){ vmint nxt(k); rep(i,k) nxt[i] = l[j][i] * r[j+1][i] * (x ? res[i] : 1); rep(i,k-1) nxt[i+1] += nxt[i]; f(f,g[x][j],x,nxt); } }; dfs(dfs,0,-1,vmint()); } cout<