#include <bits/stdc++.h>   using namespace std;   const int maxn = 100005, mod = 998244353;   inline int gi() {     char c = getchar();     while (c <  0  || c >  9 ) c = getchar();     int sum = 0;     while ( 0  <= c && c <=  9 ) sum = sum * 10 + c - 48, c = getchar();     return sum;   }   inline int add(int a, int b) { return a + b >= mod ? a + b - mod : a + b; }   inline int sub(int a, int b) { return a >= b ? a - b : a - b + mod; }   inline int fpow(int x, int k) {     int res = 1;     while (k) {       if (k & 1) res = (long long)res * x % mod;       k >>= 1;       x = (long long)x * x % mod;     }     return res;   }   int n, k, ans, s1, s2, fac[maxn], ifac[maxn];   struct edge {     int to, next;   } e[maxn * 2];   int h[maxn], siz[maxn], tot;   int f[maxn], fs[maxn];   vector<pair<int, int> > vec;   vector<int> _F[maxn], _G[maxn];   int N, L, R[maxn << 2], w[maxn << 2], F[maxn << 2], Fl[maxn << 2],       Fr[maxn << 2], G[maxn << 2], Gl[maxn << 2], Gr[maxn << 2];   inline void adde(int u, int v) {     e[++tot] = (edge){v, h[u]};     h[u] = tot;     e[++tot] = (edge){u, h[v]};     h[v] = tot;   }   void init(int n) {     for (N = 1, L = -1; N <= n; N <<= 1) ++L;     for (int i = 0; i < N; ++i) R[i] = (R[i >> 1] >> 1) | ((i & 1) << L);     w[N >> 1] = 1;     int wn = fpow(3, (mod - 1) / N);     for (int i = (N >> 1) + 1; i < N; ++i) w[i] = (long long)w[i - 1] * wn % mod;     for (int i = (N >> 1) - 1; i; --i) w[i] = w[i << 1];   }   void dft(int *a) {     for (int i = 0; i < N; ++i)       if (i < R[i]) swap(a[i], a[R[i]]);     for (int d = 1; d < N; d <<= 1)       for (int i = 0; i < N; i += d << 1)         for (int j = 0; j < d; ++j) {           int t = (long long)w[d + j] * a[i + d + j] % mod;           a[i + d + j] = sub(a[i + j], t);           a[i + j] = add(a[i + j], t);         }   }   void idft(int *a) {     dft(a);     reverse(a + 1, a + N);     int inv = fpow(N, mod - 2);     for (int i = 0; i < N; ++i) a[i] = (long long)a[i] * inv % mod;   }   void solve(int l, int r, int u) {     if (l == r) {       vector<int> &F = _F[l], &G = _G[l];       F.resize(2);       G.resize(2);       F[0] = 1;       F[1] = vec[l].second;       G[0] = add(f[vec[l].first], fs[vec[l].first]);       G[1] =           (long long)add(f[vec[l].first], fs[vec[l].first]) * (n - siz[u]) % mod;       return;     }     int mid = (l + r) >> 1, l1 = mid - l + 1, l2 = r - mid;     solve(l, mid, u);     solve(mid + 1, r, u);     init(r - l + 1);     for (int i = 0; i <= l1; ++i) Fl[i] = _F[l][i], Gl[i] = _G[l][i];     memset(Fl + l1 + 1, 0, sizeof(int) * (N - l1));     memset(Gl + l1 + 1, 0, sizeof(int) * (N - l1));     for (int i = 0; i <= l2; ++i) Fr[i] = _F[mid + 1][i], Gr[i] = _G[mid + 1][i];     memset(Fr + l2 + 1, 0, sizeof(int) * (N - l2));     memset(Gr + l2 + 1, 0, sizeof(int) * (N - l2));     dft(Fl);     dft(Gl);     dft(Fr);     dft(Gr);     for (int i = 0; i < N; ++i) F[i] = (long long)Fl[i] * Fr[i] % mod;     for (int i = 0; i < N; ++i)       G[i] = ((long long)Fl[i] * Gr[i] + (long long)Fr[i] * Gl[i]) % mod;     idft(F);     idft(G);     _F[l].resize(r - l + 2);     _G[l].resize(r - l + 2);     for (int i = 0; i <= r - l + 1; ++i) _F[l][i] = F[i], _G[l][i] = G[i];   }   void dfs(int u, int fa) {     siz[u] = 1;     for (int i = h[u], v; v = e[i].to, i; i = e[i].next)       if (v != fa) dfs(v, u);     vec.clear();     for (int i = h[u], v; v = e[i].to, i; i = e[i].next)       if (v != fa) {         fs[u] = add(fs[u], add(f[v], fs[v]));         siz[u] += siz[v];         vec.emplace_back(v, siz[v]);       }     if (vec.empty())       return f[u] = 1, s1 = add(s1, f[u]), s2 = add(s2, f[u]), void();     solve(0, vec.size() - 1, u);     vector<int> &F = _F[0], &G = _G[0];     int s = F.size() - 1;     for (int i = 0; i <= s; ++i)       f[u] = (f[u] + (long long)fac[k] * ifac[k - i] % mod * F[i]) % mod;     s1 = add(s1, f[u]);     s2 = (s2 + (long long)f[u] * f[u]) % mod;     for (int i = 0; i <= s; ++i)       ans = (ans + (long long)fac[k] * ifac[k - i] % mod * G[i]) % mod;     ans = (ans + (long long)(mod - f[u]) * fs[u]) % mod;   }   int main() {     n = gi();     k = gi();     if (k == 1) return printf( %lld n , (long long)n * (n - 1) / 2 % mod), 0;     fac[0] = 1;     for (int i = 1; i <= k; ++i) fac[i] = (long long)fac[i - 1] * i % mod;     ifac[k] = fpow(fac[k], mod - 2);     for (int i = k - 1; ~i; --i) ifac[i] = (long long)ifac[i + 1] * (i + 1) % mod;     for (int i = 1; i < n; ++i) adde(gi(), gi());     dfs(1, 0);     printf( %d n , add(ans, (long long)sub((long long)s1 * s1 % mod, s2) *                                 (mod + 1) / 2 % mod));     return 0;   }