//0個以上の部分木を刈り取り、頂点数N-Kの木を作る。最終的にできる木は何通り? //O(N^4)っぽい解法。 #include #include #define int long long #define rep(i, n) for(i = 0; i < n; i++) using namespace std; int mod = 1000000007; int N, K; vector et[2000]; int treeSize[2000]; int sizeDfs(int p, int v) { int i, ret = 1; rep(i, et[v].size()) { if (et[v][i] == p) continue; ret += sizeDfs(v, et[v][i]); } return treeSize[v] = ret; } int treeDp[2000][2001]; //根の処理(v == 0の処理)に注意 int dfs(int p, int v, int c) { if (c > treeSize[v]) return 0; if (et[v].size() - (v != 0) <= 1) return 1; if (c <= 1) return 1; if (treeDp[v][c] != -1) return treeDp[v][c]; int i, j, k; vector> dp; //dp[i][j] = 子i個で合計j頂点残す方法の個数 dp.resize(et[v].size() + (v == 0)); rep(i, et[v].size() + (v == 0)) { dp[i].resize(c); for (j = 0; j < c; j++) { dp[i][j] = 0; } } dp[0][0] = 1; int chId = 0; rep(i, et[v].size()) { if (et[v][i] == p) continue; int ch = et[v][i]; rep(j, c) { rep(k, treeSize[ch] + 1) { if (j + k >= c) break; dp[chId + 1][j + k] += dp[chId][j] * dfs(v, ch, k); dp[chId + 1][j + k] %= mod; } } chId++; } return treeDp[v][c] = dp[chId][c - 1]; } signed main() { int i, j; cin >> N >> K; rep(i, N) rep(j, N + 1) treeDp[i][j] = -1; rep(i, N - 1) { int a, b; cin >> a >> b; et[a].push_back(b); et[b].push_back(a); } sizeDfs(-1, 0); cout << dfs(-1, 0, N - K) << endl; return 0; }