#include using namespace std; #define ALL(x) x.begin(),x.end() #define rep(i,n) for(int i=0;i<(n);i++) #define debug(v) cout<<#v<<":";for(auto x:v){cout<bool chmax(T &a,const T &b){if(abool chmin(T &a,const T &b){if(b ostream &operator<<(ostream &os,const pair&p){ os< ostream &operator<<(ostream &os,const vector&v){ for(int i=0;i<(int)v.size();i++) os< istream &operator>>(istream &is,pair&p){ is>>p.first>>p.second; return is; } template istream &operator>>(istream &is,vector&v){ for(T &x:v)is>>x; return is; } template struct ModInt{ long long x; ModInt():x(0){} ModInt(long long y):x(y>=0?y%Mod:(Mod-(-y)%Mod)%Mod){} ModInt &operator+=(const ModInt &p){ if((x+=p.x)>=Mod) x-=Mod; return *this; } ModInt &operator-=(const ModInt &p){ if((x+=Mod-p.x)>=Mod)x-=Mod; return *this; } ModInt &operator*=(const ModInt &p){ x=(int)(1ll*x*p.x%Mod); return *this; } ModInt &operator/=(const ModInt &p){ (*this)*=p.inverse(); return *this; } ModInt operator-()const{return ModInt(x);} ModInt operator+(const ModInt &p)const{return ModInt(*this)+=p;} ModInt operator-(const ModInt &p)const{return ModInt(*this)-=p;} ModInt operator*(const ModInt &p)const{return ModInt(*this)*=p;} ModInt operator/(const ModInt &p)const{return ModInt(*this)/=p;} ModInt operator==(const ModInt &p)const{return x==p.x;} ModInt operator!=(const ModInt &p)const{return x!=p.x;} ModInt inverse()const{ int a=x,b=Mod,u=1,v=0,t; while(b>0){ t=a/b; swap(a-=t*b,b);swap(u-=t*v,v); } return ModInt(u); } ModInt pow(long long n)const{ ModInt ret(1),mul(x); while(n>0){ if(n&1) ret*=mul; mul*=mul;n>>=1; } return ret; } friend ostream &operator<<(ostream &os,const ModInt &p){return os<>(istream &is,ModInt &a){long long t;is>>t;a=ModInt(t);return (is);} static int get_mod(){return Mod;} }; using mint=ModInt; template struct comcalc{ vector fact,finv,inv; comcalc():fact(MAX),finv(MAX),inv(MAX){ fact[0]=mint(1),fact[1]=mint(1),finv[0]=mint(1),finv[1]=mint(1),inv[1]=mint(1); for(int i=2;ir)return mint(0); mint ret=mint(r+1)*com(n+r+1,r+1)-mint(l)*com(l+n,l); ret/=mint(n+1); return ret; } }; mint pow_mod(mint x,ll n){ return x.pow(n); } mint inv_mod(mint x){ return x.inverse(); } // O(n) mint fact_mod(ll n){ mint ret=1; for(int i=2;i<=n;i++) ret*=mint(i); return ret; } // O(r) mint comb_mod(ll n,ll r){ if(r>n-r) r=n-r; if(r==0) return 1; mint a=1,b=mint(fact_mod(r)).inverse(); for(int i=0;i; signed main(){ int n,c;cin>>n>>c; vector> g(n); rep(i,n-1){ int u,v;cin>>u>>v;u--,v--; g[u].push_back(v); g[v].push_back(u); } int k0=c/3; int k1=c/3+(c%3!=0); int k2=c/3+(c%3>=2); const int w=10000; function solve=[&](int k){ // 真面目にやるのは端だけ if(2*w>=k){ // 真面目に解いて余 vector> dp(n,vector(k)); function dfs=[&](int pre,int now){ rep(i,k)dp[now][i]=1; for(auto to:g[now])if(pre!=to){ dfs(now,to); rep(i,k){ mint mul=0; if(i>0) mul+=dp[to][i-1]; if(i+1> dp(n,vector(w)); vector center(n); function dfs=[&](int pre,int now){ rep(i,w)dp[now][i]=1; center[now]=1; for(auto to:g[now])if(pre!=to){ dfs(now,to); center[now]*=center[to]*mint(2); rep(i,w){ mint mul=0; if(i>0) mul+=dp[to][i-1]; if(i+1