#include #include #include using namespace std; using namespace atcoder; using mint = modint1000000007; #define rep(i,n) for (int i = 0; i < (n); ++i) #define modulo 1000000007 #define mod(mod_x) ((((long long)mod_x+modulo))%modulo) #define Inf 10000000000000 int N; vector> E; int C; vector> dp1; vector> dp2; vector> dp3; int t0,t1,t2; void dfs(int now,int p){ rep(i,min(C,3000)){ dp1[now][i] = 1; } rep(i,min(C-3000,3000)){ dp2[now][i] = 1; } dp3[now][0] = t0; dp3[now][1] = t1; dp3[now][2] = t2; rep(i,dp1[now].size()){ dp3[now][i%3]-=dp1[now][i]; } rep(i,dp2[now].size()){ dp3[now][(C-1-i)%3]-=dp2[now][i]; } rep(i,E[now].size()){ int to =E[now][i]; if(to==p)continue; dfs(to,now); rep(j,dp1[now].size()){ mint t = 0; if(j-3>=0)t += dp1[to][j-3]; if(j+3=0)t += dp2[to][j-3]; if(j+3>N>>C; t0 = (C+2)/3; t1 = (C+1)/3; t2 = C/3; E.resize(N,vector()); rep(i,N-1){ int a,b; scanf("%d %d",&a,&b); a--;b--; E[a].push_back(b); E[b].push_back(a); } dp1.resize(N,vector(6000,0)); dp2.resize(N,vector(6000,0)); dp3.resize(N,vector(3,0)); dfs(0,-1); mint ans = 0; rep(i,6000){ ans += dp1[0][i]; ans += dp2[0][i]; } ans += dp3[0][0]; ans += dp3[0][1]; ans += dp3[0][2]; /* rep(i,N){ rep(j,3){ cout<