#pragma comment(linker, "/STACK:102400000,102400000") #include #include #include #include #include #include #include #include #include #include using namespace std; template inline bool rd(T &ret) { char c; int sgn; if (c = getchar(), c == EOF) return 0; while (c != '-' && (c<'0' || c>'9')) c = getchar(); sgn = (c == '-') ? -1 : 1; ret = (c == '-') ? 0 : (c - '0'); while (c = getchar(), c >= '0'&&c <= '9') ret = ret * 10 + (c - '0'); ret *= sgn; return 1; } template inline void pt(T x) { if (x < 0) { putchar('-'); x = -x; } if (x > 9) pt(x / 10); putchar(x % 10 + '0'); } typedef pair pii; typedef long long ll; const int N = 1005; const int mod = 1e9 + 7; const int inf = 1e9; int Pow(int x, int y) { int ans = 1; while (y) { if (y & 1)ans = (ll)ans*x%mod; y >>= 1; x = (ll)x*x%mod; }return ans; } vectorG[N]; int n, k; int dp[N][N], siz[N], lef[N]; int A[N]; int mul(int x, int y) { x = (ll)x*y%mod; return x; } inline void add(int &x, int y) { x += y; if (x >= mod)x -= mod; } inline void sub(int &x, int y) { x -= y; if (x < 0)x += mod; } inline void dv(int &x, int y) { x = (ll)x*Pow(y, mod - 2) % mod; } int g[N]; void dfs(int u, int fa) { siz[u] = 1; lef[u] = 0; for (auto v : G[u]) { if (v == fa)continue; dfs(v, u); siz[u] += siz[v]; } if (siz[u] == 1) { dp[u][0] = 0; dp[u][1] = 1; lef[u] = 1; return; } dp[u][0] = 1; int x1 = A[siz[u] - 1], x2 = A[siz[u]]; siz[u] = 0; for (auto v : G[u]) { if (v == fa)continue; for (int i = lef[u] + lef[v]; i <= min(k, siz[u] + siz[v]); i++)g[i] = 0; for (int i = lef[u]; i <= min(k, siz[u]); i++) { for (int j = lef[v]; j <= min(k, siz[v]) && i + j <= k; j++) { add(g[i + j], mul(dp[v][j], dp[u][i])); } } for (int i = lef[u] + lef[v]; i <= min(k, siz[u] + siz[v]); i++)dp[u][i] = g[i]; siz[u] += siz[v]; lef[u] += lef[v]; dv(x1, A[siz[v]]); dv(x2, A[siz[v]]); } siz[u]++; sub(x2, x1); for (int i = min(siz[u], k); i >= lef[u]; i--) { int tmp = 0; add(tmp, mul(dp[u][i], x2)); if (i - 1 >= lef[u]) add(tmp, mul(dp[u][i - 1], x1)); dp[u][i] = tmp; } } int main() { A[0] = 1; for (int i = 1; i < N; i++)A[i] = (ll)A[i - 1] * i%mod; int T, Cas = 1; rd(T); while (T--) { rd(n); rd(k); for (int i = 1; i <= n; i++)G[i].clear(), memset(dp[i], 0, sizeof dp[i]); for (int i = 1, u, v; i < n; i++) { rd(u); rd(v); G[u].push_back(v); G[v].push_back(u); } dfs(1, 1); printf("Case #%d: ", Cas++); pt(dp[1][k]); puts(""); } return 0; }