from collections import * from itertools import * from functools import * from heapq import * import sys,math input = sys.stdin.readline N,K = map(int,input().split()) e = [[] for _ in range(N)] for _ in range(N-1): a,b = map(int,input().split()) e[a].append(b) e[b].append(a) class HLD(): ### HL分解をしてIDを振りなおしたものに対して、パスに含まれる区間を返す ### SegTreeにのせる配列はIDを並び替えたもの def __init__(self,e,root=0): self.N = len(e) self.e = e par = [-1]*N sub = [-1]*N self.root = root dist = [-1]*N v = deque() dist[root]=0 v.append(root) while v: x = v.popleft() for ix in e[x]: if dist[ix] !=-1: continue dist[ix] = dist[x] + 1 v.append(ix) H = [(-dist[i],i) for i in range(N)] H.sort() for h,i in H: tmp = 1 for ix in e[i]: if sub[ix] == -1: par[i]= ix else: tmp += sub[ix] sub[i] = tmp self.ID = [-1]*N self.ID[self.root]=0 self.HEAD = [-1]*N head = [-1]*N self.PAR = [-1]*N visited = [False]*N self.HEAD[0]=0 head[self.root]=0 depth = [-1]*N depth[self.root]=0 self.DEPTH = [-1]*N self.DEPTH[0]=0 cnt = 0 v = deque([self.root]) self.SUB = [0]*N self.SUB[0] = N while v: x = v.popleft() visited[x]=True self.ID[x]=cnt cnt += 1 n = len(self.e[x]) tmp = [(sub[ix],ix) for ix in self.e[x]] tmp.sort() flg = 0 if x==self.root: flg -= 1 for _,ix in tmp: flg += 1 if visited[ix]: continue v.appendleft(ix) if flg==n-1: head[ix] = head[x] depth[ix] = depth[x] else: head[ix] = ix depth[ix] = depth[x]+1 for i in range(self.N): self.PAR[self.ID[i]] = self.ID[par[i]] self.HEAD[self.ID[i]] = self.ID[head[i]] self.DEPTH[self.ID[i]] = depth[i] self.SUB[self.ID[i]] = sub[i] def path_query(self,l,r): L = self.ID[l] R = self.ID[r] res = [] if self.DEPTH[L]R: L,R = R,L tmp = (L,R+1) res.append(tmp) return res def sub_query(self,k): K = self.ID[k] return (K,K+self.SUB[K]) mod = 10**9 + 7 hld = HLD(e) ID = hld.ID[:] inv = {v:i for i,v in enumerate(ID)} dp = [[0]*(N+1) for _ in range(N+1)] dp[0][0]=1 for i in range(N): sub = hld.SUB[i] dp[i][0]=1 # print(sub) for j in range(N-sub+1): dp[i+sub][j+sub] += dp[i][j] dp[i+sub][j+sub] %= mod for j in range(N+1): dp[i+1][j] += dp[i][j] dp[i+1][j] %= mod # print(sum(dp[i][K] for i in range(N+1))) print(dp[-1][K])